%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV420-1.005 : TPTP v9.0.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n007.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 05:32:27 AM UTC 2025
% Result : Unsatisfiable 4.07s 4.25s
% Output : Proof 4.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV420-1.005 : TPTP v9.0.0. Released v3.5.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n007.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 09:49:20 EDT 2025
% 0.11/0.33 % CPUTime :
% 4.07/4.25 % SZS status Unsatisfiable
% 4.07/4.25 % SZS output start Proof
% 4.07/4.25 tff(m_processor_v_CMD_type, type, (
% 4.07/4.25 m_processor_v_CMD: ( $i * $i * $i ) > $o)).
% 4.07/4.25 tff(c_read_h_owned_type, type, (
% 4.07/4.25 c_read_h_owned: $i)).
% 4.07/4.25 tff(s3_type, type, (
% 4.07/4.25 s3: $i)).
% 4.07/4.25 tff(c_p1_type, type, (
% 4.07/4.25 c_p1: $i)).
% 4.07/4.25 tff(m_processor_v_waiting_type, type, (
% 4.07/4.25 m_processor_v_waiting: ( $i * $i ) > $o)).
% 4.07/4.25 tff(s4_type, type, (
% 4.07/4.25 s4: $i)).
% 4.07/4.25 tff(node56_type, type, (
% 4.07/4.25 node56: ( $i * $i ) > $o)).
% 4.07/4.25 tff(m_processor_v_writable_type, type, (
% 4.07/4.25 m_processor_v_writable: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node67_type, type, (
% 4.07/4.25 node67: $i > $o)).
% 4.07/4.25 tff(m_processor_v_state_type, type, (
% 4.07/4.25 m_processor_v_state: ( $i * $i * $i ) > $o)).
% 4.07/4.25 tff(c_owned_type, type, (
% 4.07/4.25 c_owned: $i)).
% 4.07/4.25 tff(c_shared_type, type, (
% 4.07/4.25 c_shared: $i)).
% 4.07/4.25 tff(c_read_h_shared_type, type, (
% 4.07/4.25 c_read_h_shared: $i)).
% 4.07/4.25 tff(node34_type, type, (
% 4.07/4.25 node34: ( $i * $i * $i ) > $o)).
% 4.07/4.25 tff(m_processor_v_abort_type, type, (
% 4.07/4.25 m_processor_v_abort: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node32_type, type, (
% 4.07/4.25 node32: ( $i * $i * $i ) > $o)).
% 4.07/4.25 tff(c_invalid_type, type, (
% 4.07/4.25 c_invalid: $i)).
% 4.07/4.25 tff(m_processor_v_cmd_type, type, (
% 4.07/4.25 m_processor_v_cmd: ( $i * $i * $i ) > $o)).
% 4.07/4.25 tff(c_idle_type, type, (
% 4.07/4.25 c_idle: $i)).
% 4.07/4.25 tff(c_p2_type, type, (
% 4.07/4.25 c_p2: $i)).
% 4.07/4.25 tff(node8_type, type, (
% 4.07/4.25 node8: $i > $o)).
% 4.07/4.25 tff(c_write_h_invalid_type, type, (
% 4.07/4.25 c_write_h_invalid: $i)).
% 4.07/4.25 tff(c_p0_type, type, (
% 4.07/4.25 c_p0: $i)).
% 4.07/4.25 tff(m_processor_v_snoop_type, type, (
% 4.07/4.25 m_processor_v_snoop: ( $i * $i * $i ) > $o)).
% 4.07/4.25 tff(s2_type, type, (
% 4.07/4.25 s2: $i)).
% 4.07/4.25 tff(m_processor_v_master_type, type, (
% 4.07/4.25 m_processor_v_master: ( $i * $i ) > $o)).
% 4.07/4.25 tff(m_memory_v_reply_h_stall_type, type, (
% 4.07/4.25 m_memory_v_reply_h_stall: ( $i * $i ) > $o)).
% 4.07/4.25 tff(s1_type, type, (
% 4.07/4.25 s1: $i)).
% 4.07/4.25 tff(c_m_type, type, (
% 4.07/4.25 c_m: $i)).
% 4.07/4.25 tff(m_memory_v_busy_type, type, (
% 4.07/4.25 m_memory_v_busy: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node30_type, type, (
% 4.07/4.25 node30: ( $i * $i ) > $o)).
% 4.07/4.25 tff(m_memory_v_CMD_type, type, (
% 4.07/4.25 m_memory_v_CMD: ( $i * $i * $i ) > $o)).
% 4.07/4.25 tff(m_main_v_CMD_type, type, (
% 4.07/4.25 m_main_v_CMD: ( $i * $i ) > $o)).
% 4.07/4.25 tff(s0_type, type, (
% 4.07/4.25 s0: $i)).
% 4.07/4.25 tff(node20_type, type, (
% 4.07/4.25 node20: ( $i * $i ) > $o)).
% 4.07/4.25 tff(m_memory_v_REPLY_h_STALL_type, type, (
% 4.07/4.25 m_memory_v_REPLY_h_STALL: ( $i * $i ) > $o)).
% 4.07/4.25 tff(m_memory_v_abort_type, type, (
% 4.07/4.25 m_memory_v_abort: ( $i * $i ) > $o)).
% 4.07/4.25 tff(m_memory_v_master_type, type, (
% 4.07/4.25 m_memory_v_master: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node17_type, type, (
% 4.07/4.25 node17: $i > $o)).
% 4.07/4.25 tff(node38_type, type, (
% 4.07/4.25 node38: ( $i * $i * $i ) > $o)).
% 4.07/4.25 tff(trans_type, type, (
% 4.07/4.25 trans: ( $i * $i ) > $o)).
% 4.07/4.25 tff(succ_type, type, (
% 4.07/4.25 succ: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node37_type, type, (
% 4.07/4.25 node37: ( $i * $i * $i ) > $o)).
% 4.07/4.25 tff(node36_type, type, (
% 4.07/4.25 node36: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node19_type, type, (
% 4.07/4.25 node19: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node23_type, type, (
% 4.07/4.25 node23: ( $i * $i * $i ) > $o)).
% 4.07/4.25 tff(node28_type, type, (
% 4.07/4.25 node28: ( $i * $i ) > $o)).
% 4.07/4.25 tff(m_memory_v_REPLY_h_OWNED_type, type, (
% 4.07/4.25 m_memory_v_REPLY_h_OWNED: ( $i * $i ) > $o)).
% 4.07/4.25 tff(m_main_v_REPLY_h_OWNED_type, type, (
% 4.07/4.25 m_main_v_REPLY_h_OWNED: $i > $o)).
% 4.07/4.25 tff(m_processor_v_reply_h_owned_type, type, (
% 4.07/4.25 m_processor_v_reply_h_owned: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node57_type, type, (
% 4.07/4.25 node57: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node27_type, type, (
% 4.07/4.25 node27: ( $i * $i ) > $o)).
% 4.07/4.25 tff(m_memory_v_REPLY_h_WAITING_type, type, (
% 4.07/4.25 m_memory_v_REPLY_h_WAITING: ( $i * $i ) > $o)).
% 4.07/4.25 tff(m_main_v_REPLY_h_WAITING_type, type, (
% 4.07/4.25 m_main_v_REPLY_h_WAITING: $i > $o)).
% 4.07/4.25 tff(m_processor_v_reply_h_waiting_type, type, (
% 4.07/4.25 m_processor_v_reply_h_waiting: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node58_type, type, (
% 4.07/4.25 node58: ( $i * $i ) > $o)).
% 4.07/4.25 tff(m_main_v_REPLY_h_STALL_type, type, (
% 4.07/4.25 m_main_v_REPLY_h_STALL: $i > $o)).
% 4.07/4.25 tff(m_processor_v_REPLY_h_STALL_type, type, (
% 4.07/4.25 m_processor_v_REPLY_h_STALL: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node60_type, type, (
% 4.07/4.25 node60: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node1_type, type, (
% 4.07/4.25 node1: $i > $o)).
% 4.07/4.25 tff(node3_type, type, (
% 4.07/4.25 node3: $i > $o)).
% 4.07/4.25 tff(node9_type, type, (
% 4.07/4.25 node9: $i > $o)).
% 4.07/4.25 tff(node10_type, type, (
% 4.07/4.25 node10: $i > $o)).
% 4.07/4.25 tff(node16_type, type, (
% 4.07/4.25 node16: $i > $o)).
% 4.07/4.25 tff(node66_type, type, (
% 4.07/4.25 node66: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node64_type, type, (
% 4.07/4.25 node64: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node65_type, type, (
% 4.07/4.25 node65: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node63_type, type, (
% 4.07/4.25 node63: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node62_type, type, (
% 4.07/4.25 node62: ( $i * $i ) > $o)).
% 4.07/4.25 tff(m_memory_v_cmd_type, type, (
% 4.07/4.25 m_memory_v_cmd: ( $i * $i * $i ) > $o)).
% 4.07/4.25 tff(node29_type, type, (
% 4.07/4.25 node29: ( $i * $i ) > $o)).
% 4.07/4.25 tff(c_write_h_resp_h_invalid_type, type, (
% 4.07/4.25 c_write_h_resp_h_invalid: $i)).
% 4.07/4.25 tff(c_write_h_resp_h_shared_type, type, (
% 4.07/4.25 c_write_h_resp_h_shared: $i)).
% 4.07/4.25 tff(c_write_h_shared_type, type, (
% 4.07/4.25 c_write_h_shared: $i)).
% 4.07/4.25 tff(node33_type, type, (
% 4.07/4.25 node33: ( $i * $i * $i ) > $o)).
% 4.07/4.25 tff(node6_type, type, (
% 4.07/4.25 node6: $i > $o)).
% 4.07/4.25 tff(m_processor_v_REPLY_h_WAITING_type, type, (
% 4.07/4.25 m_processor_v_REPLY_h_WAITING: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node59_type, type, (
% 4.07/4.25 node59: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node2_type, type, (
% 4.07/4.25 node2: $i > $o)).
% 4.07/4.25 tff(node35_type, type, (
% 4.07/4.25 node35: ( $i * $i ) > $o)).
% 4.07/4.25 tff(c_invalidate_type, type, (
% 4.07/4.25 c_invalidate: $i)).
% 4.07/4.25 tff(node47_type, type, (
% 4.07/4.25 node47: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node53_type, type, (
% 4.07/4.25 node53: ( $i * $i * $i ) > $o)).
% 4.07/4.25 tff(xuntil69_type, type, (
% 4.07/4.25 xuntil69: $i > $o)).
% 4.07/4.25 tff(until68_type, type, (
% 4.07/4.25 until68: $i > $o)).
% 4.07/4.25 tff(until2p70_type, type, (
% 4.07/4.25 until2p70: $i > $o)).
% 4.07/4.25 tff(xuntil2p71_type, type, (
% 4.07/4.25 xuntil2p71: $i > $o)).
% 4.07/4.25 tff(last_type, type, (
% 4.07/4.25 last: $i > $o)).
% 4.07/4.25 tff(loop_type, type, (
% 4.07/4.25 loop: $o)).
% 4.07/4.25 tff(node61_type, type, (
% 4.07/4.25 node61: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node7_type, type, (
% 4.07/4.25 node7: $i > $o)).
% 4.07/4.25 tff(c_response_type, type, (
% 4.07/4.25 c_response: $i)).
% 4.07/4.25 tff(node21_type, type, (
% 4.07/4.25 node21: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node18_type, type, (
% 4.07/4.25 node18: ( $i * $i * $i ) > $o)).
% 4.07/4.25 tff(node22_type, type, (
% 4.07/4.25 node22: ( $i * $i * $i ) > $o)).
% 4.07/4.25 tff(node4_type, type, (
% 4.07/4.25 node4: $i > $o)).
% 4.07/4.25 tff(node12_type, type, (
% 4.07/4.25 node12: $i > $o)).
% 4.07/4.25 tff(node11_type, type, (
% 4.07/4.25 node11: $i > $o)).
% 4.07/4.25 tff(node46_type, type, (
% 4.07/4.25 node46: ( $i * $i * $i ) > $o)).
% 4.07/4.25 tff(node52_type, type, (
% 4.07/4.25 node52: ( $i * $i * $i ) > $o)).
% 4.07/4.25 tff(node48_type, type, (
% 4.07/4.25 node48: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node50_type, type, (
% 4.07/4.25 node50: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node51_type, type, (
% 4.07/4.25 node51: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node49_type, type, (
% 4.07/4.25 node49: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node14_type, type, (
% 4.07/4.25 node14: $i > $o)).
% 4.07/4.25 tff(node13_type, type, (
% 4.07/4.25 node13: $i > $o)).
% 4.07/4.25 tff(node5_type, type, (
% 4.07/4.25 node5: $i > $o)).
% 4.07/4.25 tff(node26_type, type, (
% 4.07/4.25 node26: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node25_type, type, (
% 4.07/4.25 node25: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node39_type, type, (
% 4.07/4.25 node39: ( $i * $i * $i ) > $o)).
% 4.07/4.25 tff(node42_type, type, (
% 4.07/4.25 node42: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node43_type, type, (
% 4.07/4.25 node43: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node44_type, type, (
% 4.07/4.25 node44: ( $i * $i * $i ) > $o)).
% 4.07/4.25 tff(node45_type, type, (
% 4.07/4.25 node45: ( $i * $i * $i ) > $o)).
% 4.07/4.25 tff(node40_type, type, (
% 4.07/4.25 node40: ( $i * $i ) > $o)).
% 4.07/4.25 tff(node41_type, type, (
% 4.07/4.25 node41: ( $i * $i ) > $o)).
% 4.07/4.25 tff(1,assumption,(~m_processor_v_state(c_p1, s3, c_shared)), introduced(assumption)).
% 4.07/4.25 tff(2,assumption,(~m_processor_v_master(c_p1, s2)), introduced(assumption)).
% 4.07/4.25 tff(3,assumption,(~m_processor_v_state(c_p1, s2, c_invalid)), introduced(assumption)).
% 4.07/4.25 tff(4,assumption,(~m_memory_v_busy(c_m, s1)), introduced(assumption)).
% 4.07/4.25 tff(5,assumption,(~m_processor_v_state(c_p1, s1, c_invalid)), introduced(assumption)).
% 4.07/4.25 tff(6,assumption,(~node20(c_m, s0)), introduced(assumption)).
% 4.07/4.25 tff(7,assumption,(node32(c_p1, s0, s1)), introduced(assumption)).
% 4.07/4.25 tff(8,assumption,(~m_processor_v_state(c_p1, s0, c_invalid)), introduced(assumption)).
% 4.07/4.25 tff(9,plain,
% 4.07/4.25 (^[I0: $i] : refl(m_processor_v_state(I0, s0, c_invalid) <=> m_processor_v_state(I0, s0, c_invalid))),
% 4.07/4.25 inference(bind,[status(th)],[])).
% 4.07/4.25 tff(10,plain,
% 4.07/4.25 (![I0: $i] : m_processor_v_state(I0, s0, c_invalid) <=> ![I0: $i] : m_processor_v_state(I0, s0, c_invalid)),
% 4.07/4.25 inference(quant_intro,[status(thm)],[9])).
% 4.07/4.25 tff(11,plain,
% 4.07/4.25 (![I0: $i] : m_processor_v_state(I0, s0, c_invalid) <=> ![I0: $i] : m_processor_v_state(I0, s0, c_invalid)),
% 4.07/4.25 inference(rewrite,[status(thm)],[])).
% 4.07/4.25 tff(12,axiom,(![I0: $i] : m_processor_v_state(I0, s0, c_invalid)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_46')).
% 4.07/4.25 tff(13,plain,
% 4.07/4.25 (![I0: $i] : m_processor_v_state(I0, s0, c_invalid)),
% 4.07/4.25 inference(modus_ponens,[status(thm)],[12, 11])).
% 4.07/4.25 tff(14,plain,(
% 4.07/4.25 ![I0: $i] : m_processor_v_state(I0, s0, c_invalid)),
% 4.07/4.25 inference(skolemize,[status(sab)],[13])).
% 4.07/4.25 tff(15,plain,
% 4.07/4.25 (![I0: $i] : m_processor_v_state(I0, s0, c_invalid)),
% 4.07/4.25 inference(modus_ponens,[status(thm)],[14, 10])).
% 4.07/4.25 tff(16,plain,
% 4.07/4.25 ((~![I0: $i] : m_processor_v_state(I0, s0, c_invalid)) | m_processor_v_state(c_p1, s0, c_invalid)),
% 4.07/4.25 inference(quant_inst,[status(thm)],[])).
% 4.07/4.25 tff(17,plain,
% 4.07/4.25 ($false),
% 4.07/4.25 inference(unit_resolution,[status(thm)],[16, 15, 8])).
% 4.07/4.25 tff(18,plain,(m_processor_v_state(c_p1, s0, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.25 tff(19,plain,
% 4.07/4.25 (^[V: $i, Y: $i, I0: $i, X: $i] : refl(((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V)) <=> ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V)))),
% 4.07/4.25 inference(bind,[status(th)],[])).
% 4.07/4.25 tff(20,plain,
% 4.07/4.25 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V)) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))),
% 4.07/4.25 inference(quant_intro,[status(thm)],[19])).
% 4.07/4.25 tff(21,plain,
% 4.07/4.25 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V)) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))),
% 4.07/4.25 inference(rewrite,[status(thm)],[])).
% 4.07/4.25 tff(22,plain,
% 4.07/4.25 (^[V: $i, Y: $i, I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) <=> ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))), (((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node32(I0, X, Y))) <=> (((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V)) | (~node32(I0, X, Y))))), rewrite((((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V)) | (~node32(I0, X, Y))) <=> ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))), (((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node32(I0, X, Y))) <=> ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))))),
% 4.07/4.25 inference(bind,[status(th)],[])).
% 4.07/4.25 tff(23,plain,
% 4.07/4.25 (![V: $i, Y: $i, I0: $i, X: $i] : ((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node32(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))),
% 4.07/4.25 inference(quant_intro,[status(thm)],[22])).
% 4.07/4.25 tff(24,axiom,(![V: $i, Y: $i, I0: $i, X: $i] : ((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node32(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_49')).
% 4.07/4.25 tff(25,plain,
% 4.07/4.25 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))),
% 4.07/4.25 inference(modus_ponens,[status(thm)],[24, 23])).
% 4.07/4.25 tff(26,plain,
% 4.07/4.25 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))),
% 4.07/4.25 inference(modus_ponens,[status(thm)],[25, 21])).
% 4.07/4.25 tff(27,plain,(
% 4.07/4.25 ![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))),
% 4.07/4.25 inference(skolemize,[status(sab)],[26])).
% 4.07/4.25 tff(28,plain,
% 4.07/4.25 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))),
% 4.07/4.25 inference(modus_ponens,[status(thm)],[27, 20])).
% 4.07/4.25 tff(29,plain,
% 4.07/4.25 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node32(c_p1, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node32(c_p1, s0, s1)))),
% 4.07/4.25 inference(rewrite,[status(thm)],[])).
% 4.07/4.25 tff(30,plain,
% 4.07/4.25 (((~node32(c_p1, s0, s1)) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid)) <=> ((~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node32(c_p1, s0, s1)))),
% 4.07/4.25 inference(rewrite,[status(thm)],[])).
% 4.07/4.25 tff(31,plain,
% 4.07/4.25 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s0, s1)) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node32(c_p1, s0, s1))))),
% 4.07/4.25 inference(monotonicity,[status(thm)],[30])).
% 4.07/4.25 tff(32,plain,
% 4.07/4.25 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s0, s1)) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node32(c_p1, s0, s1)))),
% 4.07/4.25 inference(transitivity,[status(thm)],[31, 29])).
% 4.07/4.25 tff(33,plain,
% 4.07/4.25 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s0, s1)) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid))),
% 4.07/4.25 inference(quant_inst,[status(thm)],[])).
% 4.07/4.25 tff(34,plain,
% 4.07/4.25 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node32(c_p1, s0, s1))),
% 4.07/4.25 inference(modus_ponens,[status(thm)],[33, 32])).
% 4.07/4.25 tff(35,plain,
% 4.07/4.25 ($false),
% 4.07/4.25 inference(unit_resolution,[status(thm)],[34, 28, 18, 5, 7])).
% 4.07/4.25 tff(36,plain,((~node32(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.25 tff(37,plain,
% 4.07/4.25 (~node32(c_p1, s0, s1)),
% 4.07/4.25 inference(unit_resolution,[status(thm)],[36, 5])).
% 4.07/4.25 tff(38,assumption,(m_processor_v_abort(c_p1, s0)), introduced(assumption)).
% 4.07/4.25 tff(39,assumption,(~node32(c_p1, s0, s1)), introduced(assumption)).
% 4.07/4.25 tff(40,assumption,(~node38(c_p1, s0, s1)), introduced(assumption)).
% 4.07/4.25 tff(41,plain,
% 4.07/4.25 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | trans(X, Y)) <=> ((~succ(X, Y)) | trans(X, Y)))),
% 4.07/4.25 inference(bind,[status(th)],[])).
% 4.07/4.25 tff(42,plain,
% 4.07/4.25 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 4.07/4.25 inference(quant_intro,[status(thm)],[41])).
% 4.07/4.25 tff(43,plain,
% 4.07/4.25 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 4.07/4.25 inference(rewrite,[status(thm)],[])).
% 4.07/4.25 tff(44,axiom,(![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound6')).
% 4.07/4.25 tff(45,plain,
% 4.07/4.25 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 4.07/4.25 inference(modus_ponens,[status(thm)],[44, 43])).
% 4.07/4.25 tff(46,plain,(
% 4.07/4.25 ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 4.07/4.25 inference(skolemize,[status(sab)],[45])).
% 4.07/4.25 tff(47,plain,
% 4.07/4.25 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 4.07/4.25 inference(modus_ponens,[status(thm)],[46, 42])).
% 4.07/4.25 tff(48,plain,
% 4.07/4.25 (succ(s0, s1) <=> succ(s0, s1)),
% 4.07/4.25 inference(rewrite,[status(thm)],[])).
% 4.07/4.25 tff(49,axiom,(succ(s0, s1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound1')).
% 4.07/4.25 tff(50,plain,
% 4.07/4.25 (succ(s0, s1)),
% 4.07/4.25 inference(modus_ponens,[status(thm)],[49, 48])).
% 4.07/4.25 tff(51,plain,
% 4.07/4.26 (((~![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))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(52,plain,
% 4.07/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))),
% 4.07/4.26 inference(quant_inst,[status(thm)],[])).
% 4.07/4.26 tff(53,plain,
% 4.07/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1)),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[52, 51])).
% 4.07/4.26 tff(54,plain,
% 4.07/4.26 (trans(s0, s1)),
% 4.07/4.26 inference(unit_resolution,[status(thm)],[53, 50, 47])).
% 4.07/4.26 tff(55,plain,
% 4.07/4.26 (^[Y: $i, I0: $i, X: $i] : refl(((~trans(X, Y)) | node38(I0, X, Y)) <=> ((~trans(X, Y)) | node38(I0, X, Y)))),
% 4.07/4.26 inference(bind,[status(th)],[])).
% 4.07/4.26 tff(56,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y)) <=> ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))),
% 4.07/4.26 inference(quant_intro,[status(thm)],[55])).
% 4.07/4.26 tff(57,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y)) <=> ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(58,axiom,(![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_72')).
% 4.07/4.26 tff(59,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[58, 57])).
% 4.07/4.26 tff(60,plain,(
% 4.07/4.26 ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))),
% 4.07/4.26 inference(skolemize,[status(sab)],[59])).
% 4.07/4.26 tff(61,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[60, 56])).
% 4.07/4.26 tff(62,plain,
% 4.07/4.26 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s0, s1)) | node38(c_p1, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s0, s1)) | node38(c_p1, s0, s1))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(63,plain,
% 4.07/4.26 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s0, s1)) | node38(c_p1, s0, s1))),
% 4.07/4.26 inference(quant_inst,[status(thm)],[])).
% 4.07/4.26 tff(64,plain,
% 4.07/4.26 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s0, s1)) | node38(c_p1, s0, s1)),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[63, 62])).
% 4.07/4.26 tff(65,plain,
% 4.07/4.26 ($false),
% 4.07/4.26 inference(unit_resolution,[status(thm)],[64, 61, 54, 40])).
% 4.07/4.26 tff(66,plain,(node38(c_p1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.26 tff(67,plain,
% 4.07/4.26 (^[Y: $i, I0: $i, X: $i] : refl((node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X))) <=> (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X))))),
% 4.07/4.26 inference(bind,[status(th)],[])).
% 4.07/4.26 tff(68,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X))) <=> ![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))),
% 4.07/4.26 inference(quant_intro,[status(thm)],[67])).
% 4.07/4.26 tff(69,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X))) <=> ![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(70,plain,
% 4.07/4.26 (^[Y: $i, I0: $i, X: $i] : rewrite((((~m_processor_v_abort(I0, X)) | node32(I0, X, Y)) | (~node38(I0, X, Y))) <=> (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X))))),
% 4.07/4.26 inference(bind,[status(th)],[])).
% 4.07/4.26 tff(71,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : (((~m_processor_v_abort(I0, X)) | node32(I0, X, Y)) | (~node38(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))),
% 4.07/4.26 inference(quant_intro,[status(thm)],[70])).
% 4.07/4.26 tff(72,axiom,(![Y: $i, I0: $i, X: $i] : (((~m_processor_v_abort(I0, X)) | node32(I0, X, Y)) | (~node38(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_67')).
% 4.07/4.26 tff(73,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[72, 71])).
% 4.07/4.26 tff(74,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[73, 69])).
% 4.07/4.26 tff(75,plain,(
% 4.07/4.26 ![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))),
% 4.07/4.26 inference(skolemize,[status(sab)],[74])).
% 4.07/4.26 tff(76,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[75, 68])).
% 4.07/4.26 tff(77,plain,
% 4.07/4.26 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~node38(c_p1, s0, s1)) | node32(c_p1, s0, s1) | (~m_processor_v_abort(c_p1, s0)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~node38(c_p1, s0, s1)) | node32(c_p1, s0, s1) | (~m_processor_v_abort(c_p1, s0)))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(78,plain,
% 4.07/4.26 ((node32(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | (~m_processor_v_abort(c_p1, s0))) <=> ((~node38(c_p1, s0, s1)) | node32(c_p1, s0, s1) | (~m_processor_v_abort(c_p1, s0)))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(79,plain,
% 4.07/4.26 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | (~m_processor_v_abort(c_p1, s0)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~node38(c_p1, s0, s1)) | node32(c_p1, s0, s1) | (~m_processor_v_abort(c_p1, s0))))),
% 4.07/4.26 inference(monotonicity,[status(thm)],[78])).
% 4.07/4.26 tff(80,plain,
% 4.07/4.26 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | (~m_processor_v_abort(c_p1, s0)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~node38(c_p1, s0, s1)) | node32(c_p1, s0, s1) | (~m_processor_v_abort(c_p1, s0)))),
% 4.07/4.26 inference(transitivity,[status(thm)],[79, 77])).
% 4.07/4.26 tff(81,plain,
% 4.07/4.26 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | (~m_processor_v_abort(c_p1, s0)))),
% 4.07/4.26 inference(quant_inst,[status(thm)],[])).
% 4.07/4.26 tff(82,plain,
% 4.07/4.26 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~node38(c_p1, s0, s1)) | node32(c_p1, s0, s1) | (~m_processor_v_abort(c_p1, s0))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[81, 80])).
% 4.07/4.26 tff(83,plain,
% 4.07/4.26 ($false),
% 4.07/4.26 inference(unit_resolution,[status(thm)],[82, 76, 66, 39, 38])).
% 4.07/4.26 tff(84,plain,((~m_processor_v_abort(c_p1, s0)) | node32(c_p1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.26 tff(85,plain,
% 4.07/4.26 (~m_processor_v_abort(c_p1, s0)),
% 4.07/4.26 inference(unit_resolution,[status(thm)],[84, 37])).
% 4.07/4.26 tff(86,plain,
% 4.07/4.26 (^[V: $i, Y: $i, I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y))))),
% 4.07/4.26 inference(bind,[status(th)],[])).
% 4.07/4.26 tff(87,plain,
% 4.07/4.26 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))),
% 4.07/4.26 inference(quant_intro,[status(thm)],[86])).
% 4.07/4.26 tff(88,plain,
% 4.07/4.26 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(89,plain,
% 4.07/4.26 (^[V: $i, Y: $i, I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) <=> ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))), (((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node37(I0, X, Y))) <=> (((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y))))), rewrite((((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))), (((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node37(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))))),
% 4.07/4.26 inference(bind,[status(th)],[])).
% 4.07/4.26 tff(90,plain,
% 4.07/4.26 (![V: $i, Y: $i, I0: $i, X: $i] : ((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node37(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))),
% 4.07/4.26 inference(quant_intro,[status(thm)],[89])).
% 4.07/4.26 tff(91,axiom,(![V: $i, Y: $i, I0: $i, X: $i] : ((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node37(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_65')).
% 4.07/4.26 tff(92,plain,
% 4.07/4.26 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[91, 90])).
% 4.07/4.26 tff(93,plain,
% 4.07/4.26 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[92, 88])).
% 4.07/4.26 tff(94,plain,(
% 4.07/4.26 ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))),
% 4.07/4.26 inference(skolemize,[status(sab)],[93])).
% 4.07/4.26 tff(95,plain,
% 4.07/4.26 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[94, 87])).
% 4.07/4.26 tff(96,plain,
% 4.07/4.26 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node37(c_p1, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node37(c_p1, s0, s1)))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(97,plain,
% 4.07/4.26 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node37(c_p1, s0, s1)))),
% 4.07/4.26 inference(quant_inst,[status(thm)],[])).
% 4.07/4.26 tff(98,plain,
% 4.07/4.26 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node37(c_p1, s0, s1))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[97, 96])).
% 4.07/4.26 tff(99,plain,
% 4.07/4.26 (~node37(c_p1, s0, s1)),
% 4.07/4.26 inference(unit_resolution,[status(thm)],[98, 95, 18, 5])).
% 4.07/4.26 tff(100,assumption,(node36(c_p1, s0)), introduced(assumption)).
% 4.07/4.26 tff(101,plain,
% 4.07/4.26 (^[I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared))) <=> ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared))))),
% 4.07/4.26 inference(bind,[status(th)],[])).
% 4.07/4.26 tff(102,plain,
% 4.07/4.26 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))),
% 4.07/4.26 inference(quant_intro,[status(thm)],[101])).
% 4.07/4.26 tff(103,plain,
% 4.07/4.26 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(104,axiom,(![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_43')).
% 4.07/4.26 tff(105,plain,
% 4.07/4.26 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[104, 103])).
% 4.07/4.26 tff(106,plain,(
% 4.07/4.26 ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))),
% 4.07/4.26 inference(skolemize,[status(sab)],[105])).
% 4.07/4.26 tff(107,plain,
% 4.07/4.26 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[106, 102])).
% 4.07/4.26 tff(108,plain,
% 4.07/4.26 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_state(c_p1, s0, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_state(c_p1, s0, c_shared)))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(109,plain,
% 4.07/4.26 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_state(c_p1, s0, c_shared)))),
% 4.07/4.26 inference(quant_inst,[status(thm)],[])).
% 4.07/4.26 tff(110,plain,
% 4.07/4.26 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_state(c_p1, s0, c_shared))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[109, 108])).
% 4.07/4.26 tff(111,plain,
% 4.07/4.26 (~m_processor_v_state(c_p1, s0, c_shared)),
% 4.07/4.26 inference(unit_resolution,[status(thm)],[110, 107, 18])).
% 4.07/4.26 tff(112,plain,
% 4.07/4.26 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_shared) | (~node36(I0, X))) <=> (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X))))),
% 4.07/4.26 inference(bind,[status(th)],[])).
% 4.07/4.26 tff(113,plain,
% 4.07/4.26 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))),
% 4.07/4.26 inference(quant_intro,[status(thm)],[112])).
% 4.07/4.26 tff(114,plain,
% 4.07/4.26 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(115,axiom,(![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_63')).
% 4.07/4.26 tff(116,plain,
% 4.07/4.26 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[115, 114])).
% 4.07/4.26 tff(117,plain,(
% 4.07/4.26 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))),
% 4.07/4.26 inference(skolemize,[status(sab)],[116])).
% 4.07/4.26 tff(118,plain,
% 4.07/4.26 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[117, 113])).
% 4.07/4.26 tff(119,plain,
% 4.07/4.26 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s0, c_shared) | (~node36(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s0, c_shared) | (~node36(c_p1, s0)))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(120,plain,
% 4.07/4.26 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s0, c_shared) | (~node36(c_p1, s0)))),
% 4.07/4.26 inference(quant_inst,[status(thm)],[])).
% 4.07/4.26 tff(121,plain,
% 4.07/4.26 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s0, c_shared) | (~node36(c_p1, s0))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[120, 119])).
% 4.07/4.26 tff(122,plain,
% 4.07/4.26 ($false),
% 4.07/4.26 inference(unit_resolution,[status(thm)],[121, 118, 111, 100])).
% 4.07/4.26 tff(123,plain,(~node36(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.26 tff(124,assumption,(~m_processor_v_master(c_p1, s0)), introduced(assumption)).
% 4.07/4.26 tff(125,plain,
% 4.07/4.26 (^[Y: $i, I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)))),
% 4.07/4.26 inference(bind,[status(th)],[])).
% 4.07/4.26 tff(126,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.07/4.26 inference(quant_intro,[status(thm)],[125])).
% 4.07/4.26 tff(127,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(128,plain,
% 4.07/4.26 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | node36(I0, X)) <=> (node36(I0, X) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X))), ((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | node36(I0, X)) | m_processor_v_state(I0, X, c_shared)) <=> ((node36(I0, X) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | m_processor_v_state(I0, X, c_shared)))), rewrite(((node36(I0, X) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | m_processor_v_state(I0, X, c_shared)) <=> (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X))), ((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | node36(I0, X)) | m_processor_v_state(I0, X, c_shared)) <=> (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)))), (((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | node36(I0, X)) | m_processor_v_state(I0, X, c_shared)) | node37(I0, X, Y)) <=> ((m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | node37(I0, X, Y)))), rewrite(((m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | node37(I0, X, Y)) <=> (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | m_processor_v_abort(I0, X))), (((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | node36(I0, X)) | m_processor_v_state(I0, X, c_shared)) | node37(I0, X, Y)) <=> (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | m_processor_v_abort(I0, X)))), ((((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | node36(I0, X)) | m_processor_v_state(I0, X, c_shared)) | node37(I0, X, Y)) | (~node38(I0, X, Y))) <=> ((m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | m_processor_v_abort(I0, X)) | (~node38(I0, X, Y))))), rewrite(((m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | m_processor_v_abort(I0, X)) | (~node38(I0, X, Y))) <=> (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))), ((((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | node36(I0, X)) | m_processor_v_state(I0, X, c_shared)) | node37(I0, X, Y)) | (~node38(I0, X, Y))) <=> (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))))),
% 4.07/4.26 inference(bind,[status(th)],[])).
% 4.07/4.26 tff(129,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : (((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | node36(I0, X)) | m_processor_v_state(I0, X, c_shared)) | node37(I0, X, Y)) | (~node38(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.07/4.26 inference(quant_intro,[status(thm)],[128])).
% 4.07/4.26 tff(130,axiom,(![Y: $i, I0: $i, X: $i] : (((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | node36(I0, X)) | m_processor_v_state(I0, X, c_shared)) | node37(I0, X, Y)) | (~node38(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_71')).
% 4.07/4.26 tff(131,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[130, 129])).
% 4.07/4.26 tff(132,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[131, 127])).
% 4.07/4.26 tff(133,plain,(
% 4.07/4.26 ![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.07/4.26 inference(skolemize,[status(sab)],[132])).
% 4.07/4.26 tff(134,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[133, 126])).
% 4.07/4.26 tff(135,plain,
% 4.07/4.26 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s0) | m_processor_v_state(c_p1, s0, c_shared) | node36(c_p1, s0) | node37(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s0) | m_processor_v_state(c_p1, s0, c_shared) | node36(c_p1, s0) | node37(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(136,plain,
% 4.07/4.26 ((m_processor_v_state(c_p1, s0, c_shared) | node36(c_p1, s0) | m_processor_v_master(c_p1, s0) | node37(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0)) <=> (m_processor_v_master(c_p1, s0) | m_processor_v_state(c_p1, s0, c_shared) | node36(c_p1, s0) | node37(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(137,plain,
% 4.07/4.26 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s0, c_shared) | node36(c_p1, s0) | m_processor_v_master(c_p1, s0) | node37(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s0) | m_processor_v_state(c_p1, s0, c_shared) | node36(c_p1, s0) | node37(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0)))),
% 4.07/4.26 inference(monotonicity,[status(thm)],[136])).
% 4.07/4.26 tff(138,plain,
% 4.07/4.26 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s0, c_shared) | node36(c_p1, s0) | m_processor_v_master(c_p1, s0) | node37(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s0) | m_processor_v_state(c_p1, s0, c_shared) | node36(c_p1, s0) | node37(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0))),
% 4.07/4.26 inference(transitivity,[status(thm)],[137, 135])).
% 4.07/4.26 tff(139,plain,
% 4.07/4.26 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s0, c_shared) | node36(c_p1, s0) | m_processor_v_master(c_p1, s0) | node37(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0))),
% 4.07/4.26 inference(quant_inst,[status(thm)],[])).
% 4.07/4.26 tff(140,plain,
% 4.07/4.26 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s0) | m_processor_v_state(c_p1, s0, c_shared) | node36(c_p1, s0) | node37(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0)),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[139, 138])).
% 4.07/4.26 tff(141,plain,
% 4.07/4.26 ($false),
% 4.07/4.26 inference(unit_resolution,[status(thm)],[140, 134, 66, 124, 111, 123, 99, 85])).
% 4.07/4.26 tff(142,plain,(m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_master(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.26 tff(143,plain,
% 4.07/4.26 (m_processor_v_master(c_p1, s0)),
% 4.07/4.26 inference(unit_resolution,[status(thm)],[142, 5])).
% 4.07/4.26 tff(144,assumption,(node17(s0)), introduced(assumption)).
% 4.07/4.26 tff(145,assumption,(m_processor_v_master(c_p1, s0)), introduced(assumption)).
% 4.07/4.26 tff(146,plain,
% 4.07/4.26 (^[X: $i] : refl(((~m_processor_v_master(c_p1, X)) | (~node17(X))) <=> ((~m_processor_v_master(c_p1, X)) | (~node17(X))))),
% 4.07/4.26 inference(bind,[status(th)],[])).
% 4.07/4.26 tff(147,plain,
% 4.07/4.26 (![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X))) <=> ![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))),
% 4.07/4.26 inference(quant_intro,[status(thm)],[146])).
% 4.07/4.26 tff(148,plain,
% 4.07/4.26 (![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X))) <=> ![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(149,axiom,(![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_123')).
% 4.07/4.26 tff(150,plain,
% 4.07/4.26 (![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[149, 148])).
% 4.07/4.26 tff(151,plain,(
% 4.07/4.26 ![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))),
% 4.07/4.26 inference(skolemize,[status(sab)],[150])).
% 4.07/4.26 tff(152,plain,
% 4.07/4.26 (![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[151, 147])).
% 4.07/4.26 tff(153,plain,
% 4.07/4.26 (((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s0)) | (~node17(s0)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s0)) | (~node17(s0)))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(154,plain,
% 4.07/4.26 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s0)) | (~node17(s0)))),
% 4.07/4.26 inference(quant_inst,[status(thm)],[])).
% 4.07/4.26 tff(155,plain,
% 4.07/4.26 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s0)) | (~node17(s0))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[154, 153])).
% 4.07/4.26 tff(156,plain,
% 4.07/4.26 ($false),
% 4.07/4.26 inference(unit_resolution,[status(thm)],[155, 152, 145, 144])).
% 4.07/4.26 tff(157,plain,((~node17(s0)) | (~m_processor_v_master(c_p1, s0))), inference(lemma,lemma(discharge,[]))).
% 4.07/4.26 tff(158,plain,
% 4.07/4.26 (~node17(s0)),
% 4.07/4.26 inference(unit_resolution,[status(thm)],[157, 143])).
% 4.07/4.26 tff(159,assumption,(m_memory_v_master(c_m, s0)), introduced(assumption)).
% 4.07/4.26 tff(160,assumption,(~node17(s0)), introduced(assumption)).
% 4.07/4.26 tff(161,plain,
% 4.07/4.26 (^[X: $i] : refl((node17(X) | (~m_memory_v_master(c_m, X))) <=> (node17(X) | (~m_memory_v_master(c_m, X))))),
% 4.07/4.26 inference(bind,[status(th)],[])).
% 4.07/4.26 tff(162,plain,
% 4.07/4.26 (![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X))) <=> ![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))),
% 4.07/4.26 inference(quant_intro,[status(thm)],[161])).
% 4.07/4.26 tff(163,plain,
% 4.07/4.26 (![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X))) <=> ![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(164,axiom,(![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_125')).
% 4.07/4.26 tff(165,plain,
% 4.07/4.26 (![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[164, 163])).
% 4.07/4.26 tff(166,plain,(
% 4.07/4.26 ![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))),
% 4.07/4.26 inference(skolemize,[status(sab)],[165])).
% 4.07/4.26 tff(167,plain,
% 4.07/4.26 (![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[166, 162])).
% 4.07/4.26 tff(168,plain,
% 4.07/4.26 (((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s0) | (~m_memory_v_master(c_m, s0)))) <=> ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s0) | (~m_memory_v_master(c_m, s0)))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(169,plain,
% 4.07/4.26 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s0) | (~m_memory_v_master(c_m, s0)))),
% 4.07/4.26 inference(quant_inst,[status(thm)],[])).
% 4.07/4.26 tff(170,plain,
% 4.07/4.26 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s0) | (~m_memory_v_master(c_m, s0))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[169, 168])).
% 4.07/4.26 tff(171,plain,
% 4.07/4.26 ($false),
% 4.07/4.26 inference(unit_resolution,[status(thm)],[170, 167, 160, 159])).
% 4.07/4.26 tff(172,plain,((~m_memory_v_master(c_m, s0)) | node17(s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.26 tff(173,plain,
% 4.07/4.26 (~m_memory_v_master(c_m, s0)),
% 4.07/4.26 inference(unit_resolution,[status(thm)],[172, 158])).
% 4.07/4.26 tff(174,assumption,(~m_memory_v_abort(c_m, s0)), introduced(assumption)).
% 4.07/4.26 tff(175,assumption,(~m_memory_v_master(c_m, s0)), introduced(assumption)).
% 4.07/4.26 tff(176,assumption,(node19(c_m, s0)), introduced(assumption)).
% 4.07/4.26 tff(177,plain,
% 4.07/4.26 (^[I0: $i, X: $i] : refl((m_memory_v_master(I0, X) | (~node19(I0, X))) <=> (m_memory_v_master(I0, X) | (~node19(I0, X))))),
% 4.07/4.26 inference(bind,[status(th)],[])).
% 4.07/4.26 tff(178,plain,
% 4.07/4.26 (![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))),
% 4.07/4.26 inference(quant_intro,[status(thm)],[177])).
% 4.07/4.26 tff(179,plain,
% 4.07/4.26 (![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(180,axiom,(![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_41')).
% 4.07/4.26 tff(181,plain,
% 4.07/4.26 (![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[180, 179])).
% 4.07/4.26 tff(182,plain,(
% 4.07/4.26 ![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))),
% 4.07/4.26 inference(skolemize,[status(sab)],[181])).
% 4.07/4.26 tff(183,plain,
% 4.07/4.26 (![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[182, 178])).
% 4.07/4.26 tff(184,plain,
% 4.07/4.26 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | (m_memory_v_master(c_m, s0) | (~node19(c_m, s0)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | m_memory_v_master(c_m, s0) | (~node19(c_m, s0)))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(185,plain,
% 4.07/4.26 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | (m_memory_v_master(c_m, s0) | (~node19(c_m, s0)))),
% 4.07/4.26 inference(quant_inst,[status(thm)],[])).
% 4.07/4.26 tff(186,plain,
% 4.07/4.26 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | m_memory_v_master(c_m, s0) | (~node19(c_m, s0))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[185, 184])).
% 4.07/4.26 tff(187,plain,
% 4.07/4.26 ($false),
% 4.07/4.26 inference(unit_resolution,[status(thm)],[186, 183, 175, 176])).
% 4.07/4.26 tff(188,plain,((~node19(c_m, s0)) | m_memory_v_master(c_m, s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.26 tff(189,plain,
% 4.07/4.26 (~node19(c_m, s0)),
% 4.07/4.26 inference(unit_resolution,[status(thm)],[188, 175])).
% 4.07/4.26 tff(190,plain,
% 4.07/4.26 (^[Y: $i, I0: $i, X: $i] : refl(((~trans(X, Y)) | node23(I0, X, Y)) <=> ((~trans(X, Y)) | node23(I0, X, Y)))),
% 4.07/4.26 inference(bind,[status(th)],[])).
% 4.07/4.26 tff(191,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y)) <=> ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))),
% 4.07/4.26 inference(quant_intro,[status(thm)],[190])).
% 4.07/4.26 tff(192,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y)) <=> ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(193,axiom,(![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_53')).
% 4.07/4.26 tff(194,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[193, 192])).
% 4.07/4.26 tff(195,plain,(
% 4.07/4.26 ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))),
% 4.07/4.26 inference(skolemize,[status(sab)],[194])).
% 4.07/4.26 tff(196,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[195, 191])).
% 4.07/4.26 tff(197,plain,
% 4.07/4.26 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s0, s1)) | node23(c_m, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s0, s1)) | node23(c_m, s0, s1))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(198,plain,
% 4.07/4.26 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s0, s1)) | node23(c_m, s0, s1))),
% 4.07/4.26 inference(quant_inst,[status(thm)],[])).
% 4.07/4.26 tff(199,plain,
% 4.07/4.26 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s0, s1)) | node23(c_m, s0, s1)),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[198, 197])).
% 4.07/4.26 tff(200,plain,
% 4.07/4.26 (node23(c_m, s0, s1)),
% 4.07/4.26 inference(unit_resolution,[status(thm)],[199, 196, 54])).
% 4.07/4.26 tff(201,plain,
% 4.07/4.26 (^[Y: $i, I0: $i, X: $i] : refl((m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X)) <=> (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X)))),
% 4.07/4.26 inference(bind,[status(th)],[])).
% 4.07/4.26 tff(202,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 4.07/4.26 inference(quant_intro,[status(thm)],[201])).
% 4.07/4.26 tff(203,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(204,plain,
% 4.07/4.26 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_memory_v_abort(I0, X) | node19(I0, X)) | m_memory_v_master(I0, X)) <=> (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_abort(I0, X))), ((((m_memory_v_abort(I0, X) | node19(I0, X)) | m_memory_v_master(I0, X)) | node20(I0, X)) <=> ((m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_abort(I0, X)) | node20(I0, X)))), rewrite(((m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_abort(I0, X)) | node20(I0, X)) <=> (m_memory_v_master(I0, X) | node19(I0, X) | node20(I0, X) | m_memory_v_abort(I0, X))), ((((m_memory_v_abort(I0, X) | node19(I0, X)) | m_memory_v_master(I0, X)) | node20(I0, X)) <=> (m_memory_v_master(I0, X) | node19(I0, X) | node20(I0, X) | m_memory_v_abort(I0, X)))), (((((m_memory_v_abort(I0, X) | node19(I0, X)) | m_memory_v_master(I0, X)) | node20(I0, X)) | m_memory_v_busy(I0, Y)) <=> ((m_memory_v_master(I0, X) | node19(I0, X) | node20(I0, X) | m_memory_v_abort(I0, X)) | m_memory_v_busy(I0, Y)))), rewrite(((m_memory_v_master(I0, X) | node19(I0, X) | node20(I0, X) | m_memory_v_abort(I0, X)) | m_memory_v_busy(I0, Y)) <=> (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | m_memory_v_abort(I0, X))), (((((m_memory_v_abort(I0, X) | node19(I0, X)) | m_memory_v_master(I0, X)) | node20(I0, X)) | m_memory_v_busy(I0, Y)) <=> (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | m_memory_v_abort(I0, X)))), ((((((m_memory_v_abort(I0, X) | node19(I0, X)) | m_memory_v_master(I0, X)) | node20(I0, X)) | m_memory_v_busy(I0, Y)) | (~node23(I0, X, Y))) <=> ((m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | m_memory_v_abort(I0, X)) | (~node23(I0, X, Y))))), rewrite(((m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | m_memory_v_abort(I0, X)) | (~node23(I0, X, Y))) <=> (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))), ((((((m_memory_v_abort(I0, X) | node19(I0, X)) | m_memory_v_master(I0, X)) | node20(I0, X)) | m_memory_v_busy(I0, Y)) | (~node23(I0, X, Y))) <=> (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))))),
% 4.07/4.26 inference(bind,[status(th)],[])).
% 4.07/4.26 tff(205,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : (((((m_memory_v_abort(I0, X) | node19(I0, X)) | m_memory_v_master(I0, X)) | node20(I0, X)) | m_memory_v_busy(I0, Y)) | (~node23(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 4.07/4.26 inference(quant_intro,[status(thm)],[204])).
% 4.07/4.26 tff(206,axiom,(![Y: $i, I0: $i, X: $i] : (((((m_memory_v_abort(I0, X) | node19(I0, X)) | m_memory_v_master(I0, X)) | node20(I0, X)) | m_memory_v_busy(I0, Y)) | (~node23(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_51')).
% 4.07/4.26 tff(207,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[206, 205])).
% 4.07/4.26 tff(208,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[207, 203])).
% 4.07/4.26 tff(209,plain,(
% 4.07/4.26 ![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 4.07/4.26 inference(skolemize,[status(sab)],[208])).
% 4.07/4.26 tff(210,plain,
% 4.07/4.26 (![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 4.07/4.26 inference(modus_ponens,[status(thm)],[209, 202])).
% 4.07/4.26 tff(211,plain,
% 4.07/4.26 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s0) | node19(c_m, s0) | m_memory_v_abort(c_m, s0) | node20(c_m, s0) | m_memory_v_busy(c_m, s1) | (~node23(c_m, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | m_memory_v_master(c_m, s0) | node19(c_m, s0) | m_memory_v_abort(c_m, s0) | node20(c_m, s0) | m_memory_v_busy(c_m, s1) | (~node23(c_m, s0, s1)))),
% 4.07/4.26 inference(rewrite,[status(thm)],[])).
% 4.07/4.26 tff(212,plain,
% 4.07/4.26 ((m_memory_v_master(c_m, s0) | node19(c_m, s0) | m_memory_v_busy(c_m, s1) | node20(c_m, s0) | (~node23(c_m, s0, s1)) | m_memory_v_abort(c_m, s0)) <=> (m_memory_v_master(c_m, s0) | node19(c_m, s0) | m_memory_v_abort(c_m, s0) | node20(c_m, s0) | m_memory_v_busy(c_m, s1) | (~node23(c_m, s0, s1)))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(213,plain,
% 4.07/4.27 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s0) | node19(c_m, s0) | m_memory_v_busy(c_m, s1) | node20(c_m, s0) | (~node23(c_m, s0, s1)) | m_memory_v_abort(c_m, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s0) | node19(c_m, s0) | m_memory_v_abort(c_m, s0) | node20(c_m, s0) | m_memory_v_busy(c_m, s1) | (~node23(c_m, s0, s1))))),
% 4.07/4.27 inference(monotonicity,[status(thm)],[212])).
% 4.07/4.27 tff(214,plain,
% 4.07/4.27 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s0) | node19(c_m, s0) | m_memory_v_busy(c_m, s1) | node20(c_m, s0) | (~node23(c_m, s0, s1)) | m_memory_v_abort(c_m, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | m_memory_v_master(c_m, s0) | node19(c_m, s0) | m_memory_v_abort(c_m, s0) | node20(c_m, s0) | m_memory_v_busy(c_m, s1) | (~node23(c_m, s0, s1)))),
% 4.07/4.27 inference(transitivity,[status(thm)],[213, 211])).
% 4.07/4.27 tff(215,plain,
% 4.07/4.27 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s0) | node19(c_m, s0) | m_memory_v_busy(c_m, s1) | node20(c_m, s0) | (~node23(c_m, s0, s1)) | m_memory_v_abort(c_m, s0))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(216,plain,
% 4.07/4.27 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | m_memory_v_master(c_m, s0) | node19(c_m, s0) | m_memory_v_abort(c_m, s0) | node20(c_m, s0) | m_memory_v_busy(c_m, s1) | (~node23(c_m, s0, s1))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[215, 214])).
% 4.07/4.27 tff(217,plain,
% 4.07/4.27 (m_memory_v_master(c_m, s0) | node19(c_m, s0) | m_memory_v_abort(c_m, s0) | node20(c_m, s0) | m_memory_v_busy(c_m, s1)),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[216, 210, 200])).
% 4.07/4.27 tff(218,plain,
% 4.07/4.27 ($false),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[217, 189, 175, 4, 6, 174])).
% 4.07/4.27 tff(219,plain,(m_memory_v_master(c_m, s0) | m_memory_v_busy(c_m, s1) | node20(c_m, s0) | m_memory_v_abort(c_m, s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.27 tff(220,plain,
% 4.07/4.27 (m_memory_v_abort(c_m, s0)),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[219, 173, 4, 6])).
% 4.07/4.27 tff(221,assumption,(node57(c_p1, s0)), introduced(assumption)).
% 4.07/4.27 tff(222,plain,
% 4.07/4.27 (^[I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned))))),
% 4.07/4.27 inference(bind,[status(th)],[])).
% 4.07/4.27 tff(223,plain,
% 4.07/4.27 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned))) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))),
% 4.07/4.27 inference(quant_intro,[status(thm)],[222])).
% 4.07/4.27 tff(224,plain,
% 4.07/4.27 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned))) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(225,axiom,(![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_44')).
% 4.07/4.27 tff(226,plain,
% 4.07/4.27 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[225, 224])).
% 4.07/4.27 tff(227,plain,(
% 4.07/4.27 ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))),
% 4.07/4.27 inference(skolemize,[status(sab)],[226])).
% 4.07/4.27 tff(228,plain,
% 4.07/4.27 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[227, 223])).
% 4.07/4.27 tff(229,plain,
% 4.07/4.27 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_state(c_p1, s0, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_state(c_p1, s0, c_owned)))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(230,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_state(c_p1, s0, c_owned)))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(231,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_state(c_p1, s0, c_owned))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[230, 229])).
% 4.07/4.27 tff(232,plain,
% 4.07/4.27 (~m_processor_v_state(c_p1, s0, c_owned)),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[231, 228, 18])).
% 4.07/4.27 tff(233,plain,
% 4.07/4.27 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_owned) | (~node57(I0, X))) <=> (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X))))),
% 4.07/4.27 inference(bind,[status(th)],[])).
% 4.07/4.27 tff(234,plain,
% 4.07/4.27 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))),
% 4.07/4.27 inference(quant_intro,[status(thm)],[233])).
% 4.07/4.27 tff(235,plain,
% 4.07/4.27 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(236,axiom,(![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_127')).
% 4.07/4.27 tff(237,plain,
% 4.07/4.27 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[236, 235])).
% 4.07/4.27 tff(238,plain,(
% 4.07/4.27 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))),
% 4.07/4.27 inference(skolemize,[status(sab)],[237])).
% 4.07/4.27 tff(239,plain,
% 4.07/4.27 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[238, 234])).
% 4.07/4.27 tff(240,plain,
% 4.07/4.27 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p1, s0, c_owned) | (~node57(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | m_processor_v_state(c_p1, s0, c_owned) | (~node57(c_p1, s0)))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(241,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p1, s0, c_owned) | (~node57(c_p1, s0)))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(242,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | m_processor_v_state(c_p1, s0, c_owned) | (~node57(c_p1, s0))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[241, 240])).
% 4.07/4.27 tff(243,plain,
% 4.07/4.27 ($false),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[242, 239, 232, 221])).
% 4.07/4.27 tff(244,plain,(~node57(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.27 tff(245,assumption,(m_processor_v_reply_h_owned(c_p1, s0)), introduced(assumption)).
% 4.07/4.27 tff(246,plain,
% 4.07/4.27 (^[I0: $i, X: $i] : refl(((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X)) <=> ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X)))),
% 4.07/4.27 inference(bind,[status(th)],[])).
% 4.07/4.27 tff(247,plain,
% 4.07/4.27 (![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))),
% 4.07/4.27 inference(quant_intro,[status(thm)],[246])).
% 4.07/4.27 tff(248,plain,
% 4.07/4.27 (![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(249,axiom,(![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_129')).
% 4.07/4.27 tff(250,plain,
% 4.07/4.27 (![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[249, 248])).
% 4.07/4.27 tff(251,plain,(
% 4.07/4.27 ![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))),
% 4.07/4.27 inference(skolemize,[status(sab)],[250])).
% 4.07/4.27 tff(252,plain,
% 4.07/4.27 (![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[251, 247])).
% 4.07/4.27 tff(253,plain,
% 4.07/4.27 (((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p1, s0)) | node57(c_p1, s0))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p1, s0)) | node57(c_p1, s0))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(254,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p1, s0)) | node57(c_p1, s0))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(255,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p1, s0)) | node57(c_p1, s0)),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[254, 253])).
% 4.07/4.27 tff(256,plain,
% 4.07/4.27 ($false),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[255, 252, 245, 244])).
% 4.07/4.27 tff(257,plain,(~m_processor_v_reply_h_owned(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.27 tff(258,assumption,(m_processor_v_state(c_p2, s0, c_owned)), introduced(assumption)).
% 4.07/4.27 tff(259,assumption,(~m_processor_v_state(c_p2, s0, c_invalid)), introduced(assumption)).
% 4.07/4.27 tff(260,plain,
% 4.07/4.27 ((~![I0: $i] : m_processor_v_state(I0, s0, c_invalid)) | m_processor_v_state(c_p2, s0, c_invalid)),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(261,plain,
% 4.07/4.27 ($false),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[260, 15, 259])).
% 4.07/4.27 tff(262,plain,(m_processor_v_state(c_p2, s0, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.27 tff(263,plain,
% 4.07/4.27 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s0, c_invalid)) | (~m_processor_v_state(c_p2, s0, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s0, c_invalid)) | (~m_processor_v_state(c_p2, s0, c_owned)))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(264,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s0, c_invalid)) | (~m_processor_v_state(c_p2, s0, c_owned)))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(265,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s0, c_invalid)) | (~m_processor_v_state(c_p2, s0, c_owned))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[264, 263])).
% 4.07/4.27 tff(266,plain,
% 4.07/4.27 ($false),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[265, 228, 262, 258])).
% 4.07/4.27 tff(267,plain,(~m_processor_v_state(c_p2, s0, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.27 tff(268,assumption,(node57(c_p2, s0)), introduced(assumption)).
% 4.07/4.27 tff(269,assumption,(~m_processor_v_state(c_p2, s0, c_owned)), introduced(assumption)).
% 4.07/4.27 tff(270,plain,
% 4.07/4.27 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p2, s0, c_owned) | (~node57(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | m_processor_v_state(c_p2, s0, c_owned) | (~node57(c_p2, s0)))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(271,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p2, s0, c_owned) | (~node57(c_p2, s0)))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(272,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | m_processor_v_state(c_p2, s0, c_owned) | (~node57(c_p2, s0))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[271, 270])).
% 4.07/4.27 tff(273,plain,
% 4.07/4.27 ($false),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[272, 239, 269, 268])).
% 4.07/4.27 tff(274,plain,(m_processor_v_state(c_p2, s0, c_owned) | (~node57(c_p2, s0))), inference(lemma,lemma(discharge,[]))).
% 4.07/4.27 tff(275,plain,
% 4.07/4.27 (~node57(c_p2, s0)),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[274, 267])).
% 4.07/4.27 tff(276,assumption,(~node57(c_p2, s0)), introduced(assumption)).
% 4.07/4.27 tff(277,assumption,(m_processor_v_reply_h_owned(c_p2, s0)), introduced(assumption)).
% 4.07/4.27 tff(278,plain,
% 4.07/4.27 (((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p2, s0)) | node57(c_p2, s0))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p2, s0)) | node57(c_p2, s0))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(279,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p2, s0)) | node57(c_p2, s0))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(280,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p2, s0)) | node57(c_p2, s0)),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[279, 278])).
% 4.07/4.27 tff(281,plain,
% 4.07/4.27 ($false),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[280, 252, 277, 276])).
% 4.07/4.27 tff(282,plain,((~m_processor_v_reply_h_owned(c_p2, s0)) | node57(c_p2, s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.27 tff(283,plain,
% 4.07/4.27 (~m_processor_v_reply_h_owned(c_p2, s0)),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[282, 275])).
% 4.07/4.27 tff(284,assumption,(~m_processor_v_state(c_p0, s0, c_invalid)), introduced(assumption)).
% 4.07/4.27 tff(285,plain,
% 4.07/4.27 ((~![I0: $i] : m_processor_v_state(I0, s0, c_invalid)) | m_processor_v_state(c_p0, s0, c_invalid)),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(286,plain,
% 4.07/4.27 ($false),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[285, 15, 284])).
% 4.07/4.27 tff(287,plain,(m_processor_v_state(c_p0, s0, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.27 tff(288,plain,
% 4.07/4.27 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_state(c_p0, s0, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_state(c_p0, s0, c_owned)))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(289,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_state(c_p0, s0, c_owned)))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(290,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_state(c_p0, s0, c_owned))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[289, 288])).
% 4.07/4.27 tff(291,plain,
% 4.07/4.27 (~m_processor_v_state(c_p0, s0, c_owned)),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[290, 228, 287])).
% 4.07/4.27 tff(292,plain,
% 4.07/4.27 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | ((~node57(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (~node57(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(293,plain,
% 4.07/4.27 ((m_processor_v_state(c_p0, s0, c_owned) | (~node57(c_p0, s0))) <=> ((~node57(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(294,plain,
% 4.07/4.27 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node57(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | ((~node57(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned)))),
% 4.07/4.27 inference(monotonicity,[status(thm)],[293])).
% 4.07/4.27 tff(295,plain,
% 4.07/4.27 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node57(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (~node57(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 4.07/4.27 inference(transitivity,[status(thm)],[294, 292])).
% 4.07/4.27 tff(296,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node57(c_p0, s0)))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(297,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (~node57(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned)),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[296, 295])).
% 4.07/4.27 tff(298,plain,
% 4.07/4.27 (~node57(c_p0, s0)),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[297, 239, 291])).
% 4.07/4.27 tff(299,plain,
% 4.07/4.27 (((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p0, s0)) | node57(c_p0, s0))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p0, s0)) | node57(c_p0, s0))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(300,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p0, s0)) | node57(c_p0, s0))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(301,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p0, s0)) | node57(c_p0, s0)),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[300, 299])).
% 4.07/4.27 tff(302,plain,
% 4.07/4.27 (~m_processor_v_reply_h_owned(c_p0, s0)),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[301, 252, 298])).
% 4.07/4.27 tff(303,plain,
% 4.07/4.27 (^[X: $i] : refl(((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X)) <=> ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X)))),
% 4.07/4.27 inference(bind,[status(th)],[])).
% 4.07/4.27 tff(304,plain,
% 4.07/4.27 (![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))),
% 4.07/4.27 inference(quant_intro,[status(thm)],[303])).
% 4.07/4.27 tff(305,plain,
% 4.07/4.27 (![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(306,plain,
% 4.07/4.27 (^[X: $i] : trans(monotonicity(rewrite((((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X)) | m_processor_v_reply_h_owned(c_p1, X)) <=> ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X))), (((((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X)) | m_processor_v_reply_h_owned(c_p1, X)) | m_processor_v_reply_h_owned(c_p2, X)) <=> (((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X)) | m_processor_v_reply_h_owned(c_p2, X)))), rewrite((((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X)) | m_processor_v_reply_h_owned(c_p2, X)) <=> ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))), (((((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X)) | m_processor_v_reply_h_owned(c_p1, X)) | m_processor_v_reply_h_owned(c_p2, X)) <=> ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))))),
% 4.07/4.27 inference(bind,[status(th)],[])).
% 4.07/4.27 tff(307,plain,
% 4.07/4.27 (![X: $i] : ((((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X)) | m_processor_v_reply_h_owned(c_p1, X)) | m_processor_v_reply_h_owned(c_p2, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))),
% 4.07/4.27 inference(quant_intro,[status(thm)],[306])).
% 4.07/4.27 tff(308,axiom,(![X: $i] : ((((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X)) | m_processor_v_reply_h_owned(c_p1, X)) | m_processor_v_reply_h_owned(c_p2, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_78')).
% 4.07/4.27 tff(309,plain,
% 4.07/4.27 (![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[308, 307])).
% 4.07/4.27 tff(310,plain,
% 4.07/4.27 (![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[309, 305])).
% 4.07/4.27 tff(311,plain,(
% 4.07/4.27 ![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))),
% 4.07/4.27 inference(skolemize,[status(sab)],[310])).
% 4.07/4.27 tff(312,plain,
% 4.07/4.27 (![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[311, 304])).
% 4.07/4.27 tff(313,plain,
% 4.07/4.27 (((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))) | ((~m_main_v_REPLY_h_OWNED(s0)) | m_processor_v_reply_h_owned(c_p0, s0) | m_processor_v_reply_h_owned(c_p1, s0) | m_processor_v_reply_h_owned(c_p2, s0))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))) | (~m_main_v_REPLY_h_OWNED(s0)) | m_processor_v_reply_h_owned(c_p0, s0) | m_processor_v_reply_h_owned(c_p1, s0) | m_processor_v_reply_h_owned(c_p2, s0))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(314,plain,
% 4.07/4.27 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))) | ((~m_main_v_REPLY_h_OWNED(s0)) | m_processor_v_reply_h_owned(c_p0, s0) | m_processor_v_reply_h_owned(c_p1, s0) | m_processor_v_reply_h_owned(c_p2, s0))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(315,plain,
% 4.07/4.27 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))) | (~m_main_v_REPLY_h_OWNED(s0)) | m_processor_v_reply_h_owned(c_p0, s0) | m_processor_v_reply_h_owned(c_p1, s0) | m_processor_v_reply_h_owned(c_p2, s0)),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[314, 313])).
% 4.07/4.27 tff(316,plain,
% 4.07/4.27 ((~m_main_v_REPLY_h_OWNED(s0)) | m_processor_v_reply_h_owned(c_p1, s0) | m_processor_v_reply_h_owned(c_p2, s0)),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[315, 312, 302])).
% 4.07/4.27 tff(317,plain,
% 4.07/4.27 (~m_main_v_REPLY_h_OWNED(s0)),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[316, 283, 257])).
% 4.07/4.27 tff(318,assumption,(m_memory_v_REPLY_h_OWNED(c_m, s0)), introduced(assumption)).
% 4.07/4.27 tff(319,assumption,(~m_main_v_REPLY_h_OWNED(s0)), introduced(assumption)).
% 4.07/4.27 tff(320,plain,
% 4.07/4.27 (^[X: $i] : refl((m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X))) <=> (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X))))),
% 4.07/4.27 inference(bind,[status(th)],[])).
% 4.07/4.27 tff(321,plain,
% 4.07/4.27 (![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X))) <=> ![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))),
% 4.07/4.27 inference(quant_intro,[status(thm)],[320])).
% 4.07/4.27 tff(322,plain,
% 4.07/4.27 (![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X))) <=> ![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(323,plain,
% 4.07/4.27 (^[X: $i] : rewrite(((~m_memory_v_REPLY_h_OWNED(c_m, X)) | m_main_v_REPLY_h_OWNED(X)) <=> (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X))))),
% 4.07/4.27 inference(bind,[status(th)],[])).
% 4.07/4.27 tff(324,plain,
% 4.07/4.27 (![X: $i] : ((~m_memory_v_REPLY_h_OWNED(c_m, X)) | m_main_v_REPLY_h_OWNED(X)) <=> ![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))),
% 4.07/4.27 inference(quant_intro,[status(thm)],[323])).
% 4.07/4.27 tff(325,axiom,(![X: $i] : ((~m_memory_v_REPLY_h_OWNED(c_m, X)) | m_main_v_REPLY_h_OWNED(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_42')).
% 4.07/4.27 tff(326,plain,
% 4.07/4.27 (![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[325, 324])).
% 4.07/4.27 tff(327,plain,
% 4.07/4.27 (![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[326, 322])).
% 4.07/4.27 tff(328,plain,(
% 4.07/4.27 ![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))),
% 4.07/4.27 inference(skolemize,[status(sab)],[327])).
% 4.07/4.27 tff(329,plain,
% 4.07/4.27 (![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[328, 321])).
% 4.07/4.27 tff(330,plain,
% 4.07/4.27 (((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))) | (m_main_v_REPLY_h_OWNED(s0) | (~m_memory_v_REPLY_h_OWNED(c_m, s0)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))) | m_main_v_REPLY_h_OWNED(s0) | (~m_memory_v_REPLY_h_OWNED(c_m, s0)))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(331,plain,
% 4.07/4.27 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))) | (m_main_v_REPLY_h_OWNED(s0) | (~m_memory_v_REPLY_h_OWNED(c_m, s0)))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(332,plain,
% 4.07/4.27 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))) | m_main_v_REPLY_h_OWNED(s0) | (~m_memory_v_REPLY_h_OWNED(c_m, s0))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[331, 330])).
% 4.07/4.27 tff(333,plain,
% 4.07/4.27 ($false),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[332, 329, 319, 318])).
% 4.07/4.27 tff(334,plain,(m_main_v_REPLY_h_OWNED(s0) | (~m_memory_v_REPLY_h_OWNED(c_m, s0))), inference(lemma,lemma(discharge,[]))).
% 4.07/4.27 tff(335,plain,
% 4.07/4.27 (~m_memory_v_REPLY_h_OWNED(c_m, s0)),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[334, 317])).
% 4.07/4.27 tff(336,assumption,(node28(c_m, s0)), introduced(assumption)).
% 4.07/4.27 tff(337,assumption,(~m_memory_v_REPLY_h_OWNED(c_m, s0)), introduced(assumption)).
% 4.07/4.27 tff(338,plain,
% 4.07/4.27 (^[I0: $i, X: $i] : refl((m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X))) <=> (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X))))),
% 4.07/4.27 inference(bind,[status(th)],[])).
% 4.07/4.27 tff(339,plain,
% 4.07/4.27 (![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))),
% 4.07/4.27 inference(quant_intro,[status(thm)],[338])).
% 4.07/4.27 tff(340,plain,
% 4.07/4.27 (![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(341,axiom,(![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_66')).
% 4.07/4.27 tff(342,plain,
% 4.07/4.27 (![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[341, 340])).
% 4.07/4.27 tff(343,plain,(
% 4.07/4.27 ![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))),
% 4.07/4.27 inference(skolemize,[status(sab)],[342])).
% 4.07/4.27 tff(344,plain,
% 4.07/4.27 (![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[343, 339])).
% 4.07/4.27 tff(345,plain,
% 4.07/4.27 (((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))) | (m_memory_v_REPLY_h_OWNED(c_m, s0) | (~node28(c_m, s0)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))) | m_memory_v_REPLY_h_OWNED(c_m, s0) | (~node28(c_m, s0)))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(346,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))) | (m_memory_v_REPLY_h_OWNED(c_m, s0) | (~node28(c_m, s0)))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(347,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))) | m_memory_v_REPLY_h_OWNED(c_m, s0) | (~node28(c_m, s0))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[346, 345])).
% 4.07/4.27 tff(348,plain,
% 4.07/4.27 ($false),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[347, 344, 337, 336])).
% 4.07/4.27 tff(349,plain,((~node28(c_m, s0)) | m_memory_v_REPLY_h_OWNED(c_m, s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.27 tff(350,plain,
% 4.07/4.27 (~node28(c_m, s0)),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[349, 335])).
% 4.07/4.27 tff(351,assumption,(m_processor_v_reply_h_waiting(c_p0, s0)), introduced(assumption)).
% 4.07/4.27 tff(352,assumption,(m_processor_v_waiting(c_p0, s0)), introduced(assumption)).
% 4.07/4.27 tff(353,plain,
% 4.07/4.27 (^[I0: $i] : refl((~m_processor_v_waiting(I0, s0)) <=> (~m_processor_v_waiting(I0, s0)))),
% 4.07/4.27 inference(bind,[status(th)],[])).
% 4.07/4.27 tff(354,plain,
% 4.07/4.27 (![I0: $i] : (~m_processor_v_waiting(I0, s0)) <=> ![I0: $i] : (~m_processor_v_waiting(I0, s0))),
% 4.07/4.27 inference(quant_intro,[status(thm)],[353])).
% 4.07/4.27 tff(355,plain,
% 4.07/4.27 (![I0: $i] : (~m_processor_v_waiting(I0, s0)) <=> ![I0: $i] : (~m_processor_v_waiting(I0, s0))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(356,axiom,(![I0: $i] : (~m_processor_v_waiting(I0, s0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_48')).
% 4.07/4.27 tff(357,plain,
% 4.07/4.27 (![I0: $i] : (~m_processor_v_waiting(I0, s0))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[356, 355])).
% 4.07/4.27 tff(358,plain,(
% 4.07/4.27 ![I0: $i] : (~m_processor_v_waiting(I0, s0))),
% 4.07/4.27 inference(skolemize,[status(sab)],[357])).
% 4.07/4.27 tff(359,plain,
% 4.07/4.27 (![I0: $i] : (~m_processor_v_waiting(I0, s0))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[358, 354])).
% 4.07/4.27 tff(360,plain,
% 4.07/4.27 ((~![I0: $i] : (~m_processor_v_waiting(I0, s0))) | (~m_processor_v_waiting(c_p0, s0))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(361,plain,
% 4.07/4.27 ($false),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[360, 359, 352])).
% 4.07/4.27 tff(362,plain,(~m_processor_v_waiting(c_p0, s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.27 tff(363,plain,
% 4.07/4.27 (^[I0: $i, X: $i] : refl((m_processor_v_waiting(I0, X) | (~node58(I0, X))) <=> (m_processor_v_waiting(I0, X) | (~node58(I0, X))))),
% 4.07/4.27 inference(bind,[status(th)],[])).
% 4.07/4.27 tff(364,plain,
% 4.07/4.27 (![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))),
% 4.07/4.27 inference(quant_intro,[status(thm)],[363])).
% 4.07/4.27 tff(365,plain,
% 4.07/4.27 (![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(366,axiom,(![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_131')).
% 4.07/4.27 tff(367,plain,
% 4.07/4.27 (![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[366, 365])).
% 4.07/4.27 tff(368,plain,(
% 4.07/4.27 ![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))),
% 4.07/4.27 inference(skolemize,[status(sab)],[367])).
% 4.07/4.27 tff(369,plain,
% 4.07/4.27 (![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[368, 364])).
% 4.07/4.27 tff(370,plain,
% 4.07/4.27 (((~![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))) | (m_processor_v_waiting(c_p0, s0) | (~node58(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))) | m_processor_v_waiting(c_p0, s0) | (~node58(c_p0, s0)))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(371,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))) | (m_processor_v_waiting(c_p0, s0) | (~node58(c_p0, s0)))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(372,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))) | m_processor_v_waiting(c_p0, s0) | (~node58(c_p0, s0))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[371, 370])).
% 4.07/4.27 tff(373,plain,
% 4.07/4.27 (~node58(c_p0, s0)),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[372, 369, 362])).
% 4.07/4.27 tff(374,plain,
% 4.07/4.27 (^[I0: $i, X: $i] : refl(((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X)) <=> ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X)))),
% 4.07/4.27 inference(bind,[status(th)],[])).
% 4.07/4.27 tff(375,plain,
% 4.07/4.27 (![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))),
% 4.07/4.27 inference(quant_intro,[status(thm)],[374])).
% 4.07/4.27 tff(376,plain,
% 4.07/4.27 (![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(377,axiom,(![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_133')).
% 4.07/4.27 tff(378,plain,
% 4.07/4.27 (![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[377, 376])).
% 4.07/4.27 tff(379,plain,(
% 4.07/4.27 ![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))),
% 4.07/4.27 inference(skolemize,[status(sab)],[378])).
% 4.07/4.27 tff(380,plain,
% 4.07/4.27 (![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[379, 375])).
% 4.07/4.27 tff(381,plain,
% 4.07/4.27 (((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | ((~m_processor_v_reply_h_waiting(c_p0, s0)) | node58(c_p0, s0))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | (~m_processor_v_reply_h_waiting(c_p0, s0)) | node58(c_p0, s0))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(382,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | ((~m_processor_v_reply_h_waiting(c_p0, s0)) | node58(c_p0, s0))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(383,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | (~m_processor_v_reply_h_waiting(c_p0, s0)) | node58(c_p0, s0)),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[382, 381])).
% 4.07/4.27 tff(384,plain,
% 4.07/4.27 ($false),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[383, 380, 373, 351])).
% 4.07/4.27 tff(385,plain,(~m_processor_v_reply_h_waiting(c_p0, s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.27 tff(386,assumption,(node58(c_p1, s0)), introduced(assumption)).
% 4.07/4.27 tff(387,assumption,(m_processor_v_waiting(c_p1, s0)), introduced(assumption)).
% 4.07/4.27 tff(388,plain,
% 4.07/4.27 ((~![I0: $i] : (~m_processor_v_waiting(I0, s0))) | (~m_processor_v_waiting(c_p1, s0))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(389,plain,
% 4.07/4.27 ($false),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[388, 359, 387])).
% 4.07/4.27 tff(390,plain,(~m_processor_v_waiting(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.27 tff(391,plain,
% 4.07/4.27 (((~![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))) | (m_processor_v_waiting(c_p1, s0) | (~node58(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))) | m_processor_v_waiting(c_p1, s0) | (~node58(c_p1, s0)))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(392,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))) | (m_processor_v_waiting(c_p1, s0) | (~node58(c_p1, s0)))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(393,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))) | m_processor_v_waiting(c_p1, s0) | (~node58(c_p1, s0))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[392, 391])).
% 4.07/4.27 tff(394,plain,
% 4.07/4.27 ($false),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[393, 369, 390, 386])).
% 4.07/4.27 tff(395,plain,(~node58(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.27 tff(396,plain,
% 4.07/4.27 (((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | ((~m_processor_v_reply_h_waiting(c_p1, s0)) | node58(c_p1, s0))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | (~m_processor_v_reply_h_waiting(c_p1, s0)) | node58(c_p1, s0))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(397,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | ((~m_processor_v_reply_h_waiting(c_p1, s0)) | node58(c_p1, s0))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(398,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | (~m_processor_v_reply_h_waiting(c_p1, s0)) | node58(c_p1, s0)),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[397, 396])).
% 4.07/4.27 tff(399,plain,
% 4.07/4.27 (~m_processor_v_reply_h_waiting(c_p1, s0)),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[398, 380, 395])).
% 4.07/4.27 tff(400,assumption,(m_processor_v_waiting(c_p2, s0)), introduced(assumption)).
% 4.07/4.27 tff(401,plain,
% 4.07/4.27 ((~![I0: $i] : (~m_processor_v_waiting(I0, s0))) | (~m_processor_v_waiting(c_p2, s0))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(402,plain,
% 4.07/4.27 ($false),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[401, 359, 400])).
% 4.07/4.27 tff(403,plain,(~m_processor_v_waiting(c_p2, s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.27 tff(404,plain,
% 4.07/4.27 (((~![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))) | (m_processor_v_waiting(c_p2, s0) | (~node58(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))) | m_processor_v_waiting(c_p2, s0) | (~node58(c_p2, s0)))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(405,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))) | (m_processor_v_waiting(c_p2, s0) | (~node58(c_p2, s0)))),
% 4.07/4.27 inference(quant_inst,[status(thm)],[])).
% 4.07/4.27 tff(406,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))) | m_processor_v_waiting(c_p2, s0) | (~node58(c_p2, s0))),
% 4.07/4.27 inference(modus_ponens,[status(thm)],[405, 404])).
% 4.07/4.27 tff(407,plain,
% 4.07/4.27 (~node58(c_p2, s0)),
% 4.07/4.27 inference(unit_resolution,[status(thm)],[406, 369, 403])).
% 4.07/4.27 tff(408,plain,
% 4.07/4.27 (((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | ((~m_processor_v_reply_h_waiting(c_p2, s0)) | node58(c_p2, s0))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | (~m_processor_v_reply_h_waiting(c_p2, s0)) | node58(c_p2, s0))),
% 4.07/4.27 inference(rewrite,[status(thm)],[])).
% 4.07/4.27 tff(409,plain,
% 4.07/4.27 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | ((~m_processor_v_reply_h_waiting(c_p2, s0)) | node58(c_p2, s0))),
% 4.07/4.28 inference(quant_inst,[status(thm)],[])).
% 4.07/4.28 tff(410,plain,
% 4.07/4.28 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | (~m_processor_v_reply_h_waiting(c_p2, s0)) | node58(c_p2, s0)),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[409, 408])).
% 4.07/4.28 tff(411,plain,
% 4.07/4.28 (~m_processor_v_reply_h_waiting(c_p2, s0)),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[410, 380, 407])).
% 4.07/4.28 tff(412,plain,
% 4.07/4.28 (^[X: $i] : refl(((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X)) <=> ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X)))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(413,plain,
% 4.07/4.28 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[412])).
% 4.07/4.28 tff(414,plain,
% 4.07/4.28 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(415,plain,
% 4.07/4.28 (^[X: $i] : trans(monotonicity(rewrite((((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X)) | m_processor_v_reply_h_waiting(c_p1, X)) <=> ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X))), (((((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X)) | m_processor_v_reply_h_waiting(c_p1, X)) | m_processor_v_reply_h_waiting(c_p2, X)) <=> (((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X)) | m_processor_v_reply_h_waiting(c_p2, X)))), rewrite((((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X)) | m_processor_v_reply_h_waiting(c_p2, X)) <=> ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))), (((((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X)) | m_processor_v_reply_h_waiting(c_p1, X)) | m_processor_v_reply_h_waiting(c_p2, X)) <=> ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(416,plain,
% 4.07/4.28 (![X: $i] : ((((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X)) | m_processor_v_reply_h_waiting(c_p1, X)) | m_processor_v_reply_h_waiting(c_p2, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[415])).
% 4.07/4.28 tff(417,axiom,(![X: $i] : ((((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X)) | m_processor_v_reply_h_waiting(c_p1, X)) | m_processor_v_reply_h_waiting(c_p2, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_83')).
% 4.07/4.28 tff(418,plain,
% 4.07/4.28 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[417, 416])).
% 4.07/4.28 tff(419,plain,
% 4.07/4.28 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[418, 414])).
% 4.07/4.28 tff(420,plain,(
% 4.07/4.28 ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))),
% 4.07/4.28 inference(skolemize,[status(sab)],[419])).
% 4.07/4.28 tff(421,plain,
% 4.07/4.28 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[420, 413])).
% 4.07/4.28 tff(422,plain,
% 4.07/4.28 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))) | ((~m_main_v_REPLY_h_WAITING(s0)) | m_processor_v_reply_h_waiting(c_p0, s0) | m_processor_v_reply_h_waiting(c_p1, s0) | m_processor_v_reply_h_waiting(c_p2, s0))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))) | (~m_main_v_REPLY_h_WAITING(s0)) | m_processor_v_reply_h_waiting(c_p0, s0) | m_processor_v_reply_h_waiting(c_p1, s0) | m_processor_v_reply_h_waiting(c_p2, s0))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(423,plain,
% 4.07/4.28 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))) | ((~m_main_v_REPLY_h_WAITING(s0)) | m_processor_v_reply_h_waiting(c_p0, s0) | m_processor_v_reply_h_waiting(c_p1, s0) | m_processor_v_reply_h_waiting(c_p2, s0))),
% 4.07/4.28 inference(quant_inst,[status(thm)],[])).
% 4.07/4.28 tff(424,plain,
% 4.07/4.28 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))) | (~m_main_v_REPLY_h_WAITING(s0)) | m_processor_v_reply_h_waiting(c_p0, s0) | m_processor_v_reply_h_waiting(c_p1, s0) | m_processor_v_reply_h_waiting(c_p2, s0)),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[423, 422])).
% 4.07/4.28 tff(425,plain,
% 4.07/4.28 ((~m_main_v_REPLY_h_WAITING(s0)) | m_processor_v_reply_h_waiting(c_p0, s0) | m_processor_v_reply_h_waiting(c_p1, s0)),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[424, 421, 411])).
% 4.07/4.28 tff(426,plain,
% 4.07/4.28 ((~m_main_v_REPLY_h_WAITING(s0)) | m_processor_v_reply_h_waiting(c_p0, s0)),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[425, 399])).
% 4.07/4.28 tff(427,plain,
% 4.07/4.28 (~m_main_v_REPLY_h_WAITING(s0)),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[426, 385])).
% 4.07/4.28 tff(428,assumption,(m_memory_v_REPLY_h_WAITING(c_m, s0)), introduced(assumption)).
% 4.07/4.28 tff(429,assumption,(~m_main_v_REPLY_h_WAITING(s0)), introduced(assumption)).
% 4.07/4.28 tff(430,plain,
% 4.07/4.28 (^[X: $i] : refl((m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X))) <=> (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X))))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(431,plain,
% 4.07/4.28 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X))) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[430])).
% 4.07/4.28 tff(432,plain,
% 4.07/4.28 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X))) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(433,plain,
% 4.07/4.28 (^[X: $i] : rewrite(((~m_memory_v_REPLY_h_WAITING(c_m, X)) | m_main_v_REPLY_h_WAITING(X)) <=> (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X))))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(434,plain,
% 4.07/4.28 (![X: $i] : ((~m_memory_v_REPLY_h_WAITING(c_m, X)) | m_main_v_REPLY_h_WAITING(X)) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[433])).
% 4.07/4.28 tff(435,axiom,(![X: $i] : ((~m_memory_v_REPLY_h_WAITING(c_m, X)) | m_main_v_REPLY_h_WAITING(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_44')).
% 4.07/4.28 tff(436,plain,
% 4.07/4.28 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[435, 434])).
% 4.07/4.28 tff(437,plain,
% 4.07/4.28 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[436, 432])).
% 4.07/4.28 tff(438,plain,(
% 4.07/4.28 ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))),
% 4.07/4.28 inference(skolemize,[status(sab)],[437])).
% 4.07/4.28 tff(439,plain,
% 4.07/4.28 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[438, 431])).
% 4.07/4.28 tff(440,plain,
% 4.07/4.28 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))) | (m_main_v_REPLY_h_WAITING(s0) | (~m_memory_v_REPLY_h_WAITING(c_m, s0)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))) | m_main_v_REPLY_h_WAITING(s0) | (~m_memory_v_REPLY_h_WAITING(c_m, s0)))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(441,plain,
% 4.07/4.28 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))) | (m_main_v_REPLY_h_WAITING(s0) | (~m_memory_v_REPLY_h_WAITING(c_m, s0)))),
% 4.07/4.28 inference(quant_inst,[status(thm)],[])).
% 4.07/4.28 tff(442,plain,
% 4.07/4.28 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))) | m_main_v_REPLY_h_WAITING(s0) | (~m_memory_v_REPLY_h_WAITING(c_m, s0))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[441, 440])).
% 4.07/4.28 tff(443,plain,
% 4.07/4.28 ($false),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[442, 439, 429, 428])).
% 4.07/4.28 tff(444,plain,((~m_memory_v_REPLY_h_WAITING(c_m, s0)) | m_main_v_REPLY_h_WAITING(s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.28 tff(445,plain,
% 4.07/4.28 (~m_memory_v_REPLY_h_WAITING(c_m, s0)),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[444, 427])).
% 4.07/4.28 tff(446,assumption,(node27(c_m, s0)), introduced(assumption)).
% 4.07/4.28 tff(447,assumption,(~m_memory_v_REPLY_h_WAITING(c_m, s0)), introduced(assumption)).
% 4.07/4.28 tff(448,plain,
% 4.07/4.28 (^[I0: $i, X: $i] : refl((m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X))) <=> (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X))))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(449,plain,
% 4.07/4.28 (![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[448])).
% 4.07/4.28 tff(450,plain,
% 4.07/4.28 (![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(451,axiom,(![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_64')).
% 4.07/4.28 tff(452,plain,
% 4.07/4.28 (![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[451, 450])).
% 4.07/4.28 tff(453,plain,(
% 4.07/4.28 ![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))),
% 4.07/4.28 inference(skolemize,[status(sab)],[452])).
% 4.07/4.28 tff(454,plain,
% 4.07/4.28 (![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[453, 449])).
% 4.07/4.28 tff(455,plain,
% 4.07/4.28 (((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))) | (m_memory_v_REPLY_h_WAITING(c_m, s0) | (~node27(c_m, s0)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))) | m_memory_v_REPLY_h_WAITING(c_m, s0) | (~node27(c_m, s0)))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(456,plain,
% 4.07/4.28 ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))) | (m_memory_v_REPLY_h_WAITING(c_m, s0) | (~node27(c_m, s0)))),
% 4.07/4.28 inference(quant_inst,[status(thm)],[])).
% 4.07/4.28 tff(457,plain,
% 4.07/4.28 ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))) | m_memory_v_REPLY_h_WAITING(c_m, s0) | (~node27(c_m, s0))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[456, 455])).
% 4.07/4.28 tff(458,plain,
% 4.07/4.28 ($false),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[457, 454, 447, 446])).
% 4.07/4.28 tff(459,plain,((~node27(c_m, s0)) | m_memory_v_REPLY_h_WAITING(c_m, s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.28 tff(460,plain,
% 4.07/4.28 (~node27(c_m, s0)),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[459, 445])).
% 4.07/4.28 tff(461,assumption,(~node28(c_m, s0)), introduced(assumption)).
% 4.07/4.28 tff(462,assumption,(m_memory_v_abort(c_m, s0)), introduced(assumption)).
% 4.07/4.28 tff(463,assumption,(~node27(c_m, s0)), introduced(assumption)).
% 4.07/4.28 tff(464,assumption,(~m_memory_v_REPLY_h_STALL(c_m, s0)), introduced(assumption)).
% 4.07/4.28 tff(465,plain,
% 4.07/4.28 (^[I0: $i, X: $i] : refl(((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X)) <=> ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X)))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(466,plain,
% 4.07/4.28 (![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X)) <=> ![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[465])).
% 4.07/4.28 tff(467,plain,
% 4.07/4.28 (![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X)) <=> ![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(468,plain,
% 4.07/4.28 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X)) | node27(I0, X)) <=> ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X))), (((((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X)) | node27(I0, X)) | node28(I0, X)) <=> (((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X)) | node28(I0, X)))), rewrite((((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X)) | node28(I0, X)) <=> ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))), (((((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X)) | node27(I0, X)) | node28(I0, X)) <=> ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(469,plain,
% 4.07/4.28 (![I0: $i, X: $i] : ((((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X)) | node27(I0, X)) | node28(I0, X)) <=> ![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[468])).
% 4.07/4.28 tff(470,axiom,(![I0: $i, X: $i] : ((((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X)) | node27(I0, X)) | node28(I0, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_68')).
% 4.07/4.28 tff(471,plain,
% 4.07/4.28 (![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[470, 469])).
% 4.07/4.28 tff(472,plain,
% 4.07/4.28 (![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[471, 467])).
% 4.07/4.28 tff(473,plain,(
% 4.07/4.28 ![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))),
% 4.07/4.28 inference(skolemize,[status(sab)],[472])).
% 4.07/4.28 tff(474,plain,
% 4.07/4.28 (![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[473, 466])).
% 4.07/4.28 tff(475,plain,
% 4.07/4.28 (((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | ((~m_memory_v_abort(c_m, s0)) | m_memory_v_REPLY_h_STALL(c_m, s0) | node27(c_m, s0) | node28(c_m, s0))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | (~m_memory_v_abort(c_m, s0)) | m_memory_v_REPLY_h_STALL(c_m, s0) | node27(c_m, s0) | node28(c_m, s0))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(476,plain,
% 4.07/4.28 ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | ((~m_memory_v_abort(c_m, s0)) | m_memory_v_REPLY_h_STALL(c_m, s0) | node27(c_m, s0) | node28(c_m, s0))),
% 4.07/4.28 inference(quant_inst,[status(thm)],[])).
% 4.07/4.28 tff(477,plain,
% 4.07/4.28 ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | (~m_memory_v_abort(c_m, s0)) | m_memory_v_REPLY_h_STALL(c_m, s0) | node27(c_m, s0) | node28(c_m, s0)),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[476, 475])).
% 4.07/4.28 tff(478,plain,
% 4.07/4.28 ($false),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[477, 474, 464, 463, 462, 461])).
% 4.07/4.28 tff(479,plain,(node28(c_m, s0) | m_memory_v_REPLY_h_STALL(c_m, s0) | node27(c_m, s0) | (~m_memory_v_abort(c_m, s0))), inference(lemma,lemma(discharge,[]))).
% 4.07/4.28 tff(480,plain,
% 4.07/4.28 (node28(c_m, s0) | m_memory_v_REPLY_h_STALL(c_m, s0) | (~m_memory_v_abort(c_m, s0))),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[479, 460])).
% 4.07/4.28 tff(481,plain,
% 4.07/4.28 (m_memory_v_REPLY_h_STALL(c_m, s0) | (~m_memory_v_abort(c_m, s0))),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[480, 350])).
% 4.07/4.28 tff(482,plain,
% 4.07/4.28 (m_memory_v_REPLY_h_STALL(c_m, s0)),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[481, 220])).
% 4.07/4.28 tff(483,assumption,(~node60(c_p1, s0)), introduced(assumption)).
% 4.07/4.28 tff(484,assumption,(~m_processor_v_abort(c_p1, s0)), introduced(assumption)).
% 4.07/4.28 tff(485,plain,
% 4.07/4.28 (^[I0: $i, X: $i] : refl((m_processor_v_abort(I0, X) | node60(I0, X)) <=> (m_processor_v_abort(I0, X) | node60(I0, X)))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(486,plain,
% 4.07/4.28 (![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[485])).
% 4.07/4.28 tff(487,plain,
% 4.07/4.28 (![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(488,axiom,(![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_140')).
% 4.07/4.28 tff(489,plain,
% 4.07/4.28 (![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[488, 487])).
% 4.07/4.28 tff(490,plain,(
% 4.07/4.28 ![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))),
% 4.07/4.28 inference(skolemize,[status(sab)],[489])).
% 4.07/4.28 tff(491,plain,
% 4.07/4.28 (![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[490, 486])).
% 4.07/4.28 tff(492,plain,
% 4.07/4.28 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s0) | node60(c_p1, s0))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s0) | node60(c_p1, s0))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(493,plain,
% 4.07/4.28 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s0) | node60(c_p1, s0))),
% 4.07/4.28 inference(quant_inst,[status(thm)],[])).
% 4.07/4.28 tff(494,plain,
% 4.07/4.28 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s0) | node60(c_p1, s0)),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[493, 492])).
% 4.07/4.28 tff(495,plain,
% 4.07/4.28 ($false),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[494, 491, 484, 483])).
% 4.07/4.28 tff(496,plain,(node60(c_p1, s0) | m_processor_v_abort(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.28 tff(497,plain,
% 4.07/4.28 (node60(c_p1, s0)),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[496, 85])).
% 4.07/4.28 tff(498,assumption,(m_processor_v_REPLY_h_STALL(c_p0, s0)), introduced(assumption)).
% 4.07/4.28 tff(499,plain,
% 4.07/4.28 (^[X: $i] : refl((m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X))) <=> (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X))))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(500,plain,
% 4.07/4.28 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X))) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[499])).
% 4.07/4.28 tff(501,plain,
% 4.07/4.28 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X))) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(502,plain,
% 4.07/4.28 (^[X: $i] : rewrite(((~m_processor_v_REPLY_h_STALL(c_p0, X)) | m_main_v_REPLY_h_STALL(X)) <=> (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X))))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(503,plain,
% 4.07/4.28 (![X: $i] : ((~m_processor_v_REPLY_h_STALL(c_p0, X)) | m_main_v_REPLY_h_STALL(X)) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[502])).
% 4.07/4.28 tff(504,axiom,(![X: $i] : ((~m_processor_v_REPLY_h_STALL(c_p0, X)) | m_main_v_REPLY_h_STALL(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_55')).
% 4.07/4.28 tff(505,plain,
% 4.07/4.28 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[504, 503])).
% 4.07/4.28 tff(506,plain,
% 4.07/4.28 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[505, 501])).
% 4.07/4.28 tff(507,plain,(
% 4.07/4.28 ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))),
% 4.07/4.28 inference(skolemize,[status(sab)],[506])).
% 4.07/4.28 tff(508,plain,
% 4.07/4.28 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[507, 500])).
% 4.07/4.28 tff(509,plain,
% 4.07/4.28 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s0) | (~m_processor_v_REPLY_h_STALL(c_p0, s0)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s0) | (~m_processor_v_REPLY_h_STALL(c_p0, s0)))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(510,plain,
% 4.07/4.28 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s0) | (~m_processor_v_REPLY_h_STALL(c_p0, s0)))),
% 4.07/4.28 inference(quant_inst,[status(thm)],[])).
% 4.07/4.28 tff(511,plain,
% 4.07/4.28 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s0) | (~m_processor_v_REPLY_h_STALL(c_p0, s0))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[510, 509])).
% 4.07/4.28 tff(512,plain,
% 4.07/4.28 (m_main_v_REPLY_h_STALL(s0)),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[511, 508, 498])).
% 4.07/4.28 tff(513,assumption,(~m_processor_v_REPLY_h_STALL(c_p1, s0)), introduced(assumption)).
% 4.07/4.28 tff(514,assumption,(m_main_v_REPLY_h_STALL(s0)), introduced(assumption)).
% 4.07/4.28 tff(515,plain,
% 4.07/4.28 (^[X: $i] : refl(((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X)) <=> ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X)))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(516,plain,
% 4.07/4.28 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[515])).
% 4.07/4.28 tff(517,plain,
% 4.07/4.28 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(518,plain,
% 4.07/4.28 (^[X: $i] : rewrite((m_processor_v_REPLY_h_STALL(c_p1, X) | (~m_main_v_REPLY_h_STALL(X))) <=> ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X)))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(519,plain,
% 4.07/4.28 (![X: $i] : (m_processor_v_REPLY_h_STALL(c_p1, X) | (~m_main_v_REPLY_h_STALL(X))) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[518])).
% 4.07/4.28 tff(520,axiom,(![X: $i] : (m_processor_v_REPLY_h_STALL(c_p1, X) | (~m_main_v_REPLY_h_STALL(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_63')).
% 4.07/4.28 tff(521,plain,
% 4.07/4.28 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[520, 519])).
% 4.07/4.28 tff(522,plain,
% 4.07/4.28 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[521, 517])).
% 4.07/4.28 tff(523,plain,(
% 4.07/4.28 ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))),
% 4.07/4.28 inference(skolemize,[status(sab)],[522])).
% 4.07/4.28 tff(524,plain,
% 4.07/4.28 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[523, 516])).
% 4.07/4.28 tff(525,plain,
% 4.07/4.28 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p1, s0))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p1, s0))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(526,plain,
% 4.07/4.28 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p1, s0))),
% 4.07/4.28 inference(quant_inst,[status(thm)],[])).
% 4.07/4.28 tff(527,plain,
% 4.07/4.28 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p1, s0)),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[526, 525])).
% 4.07/4.28 tff(528,plain,
% 4.07/4.28 ($false),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[527, 524, 514, 513])).
% 4.07/4.28 tff(529,plain,(m_processor_v_REPLY_h_STALL(c_p1, s0) | (~m_main_v_REPLY_h_STALL(s0))), inference(lemma,lemma(discharge,[]))).
% 4.07/4.28 tff(530,plain,
% 4.07/4.28 (m_processor_v_REPLY_h_STALL(c_p1, s0)),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[529, 512])).
% 4.07/4.28 tff(531,assumption,(node60(c_p1, s0)), introduced(assumption)).
% 4.07/4.28 tff(532,plain,
% 4.07/4.28 (^[I0: $i, X: $i] : refl(((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X))) <=> ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X))))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(533,plain,
% 4.07/4.28 (![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[532])).
% 4.07/4.28 tff(534,plain,
% 4.07/4.28 (![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(535,axiom,(![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_136')).
% 4.07/4.28 tff(536,plain,
% 4.07/4.28 (![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[535, 534])).
% 4.07/4.28 tff(537,plain,(
% 4.07/4.28 ![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))),
% 4.07/4.28 inference(skolemize,[status(sab)],[536])).
% 4.07/4.28 tff(538,plain,
% 4.07/4.28 (![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[537, 533])).
% 4.07/4.28 tff(539,plain,
% 4.07/4.28 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s0)) | (~node60(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s0)) | (~node60(c_p1, s0)))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(540,plain,
% 4.07/4.28 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s0)) | (~node60(c_p1, s0)))),
% 4.07/4.28 inference(quant_inst,[status(thm)],[])).
% 4.07/4.28 tff(541,plain,
% 4.07/4.28 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s0)) | (~node60(c_p1, s0))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[540, 539])).
% 4.07/4.28 tff(542,plain,
% 4.07/4.28 ($false),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[541, 538, 531, 530])).
% 4.07/4.28 tff(543,plain,((~node60(c_p1, s0)) | (~m_processor_v_REPLY_h_STALL(c_p0, s0))), inference(lemma,lemma(discharge,[]))).
% 4.07/4.28 tff(544,plain,
% 4.07/4.28 (~m_processor_v_REPLY_h_STALL(c_p0, s0)),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[543, 497])).
% 4.07/4.28 tff(545,assumption,(~m_processor_v_REPLY_h_STALL(c_p0, s0)), introduced(assumption)).
% 4.07/4.28 tff(546,plain,
% 4.07/4.28 (^[X: $i] : refl(((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X)) <=> ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X)))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(547,plain,
% 4.07/4.28 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[546])).
% 4.07/4.28 tff(548,plain,
% 4.07/4.28 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(549,plain,
% 4.07/4.28 (^[X: $i] : rewrite((m_processor_v_REPLY_h_STALL(c_p0, X) | (~m_main_v_REPLY_h_STALL(X))) <=> ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X)))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(550,plain,
% 4.07/4.28 (![X: $i] : (m_processor_v_REPLY_h_STALL(c_p0, X) | (~m_main_v_REPLY_h_STALL(X))) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[549])).
% 4.07/4.28 tff(551,axiom,(![X: $i] : (m_processor_v_REPLY_h_STALL(c_p0, X) | (~m_main_v_REPLY_h_STALL(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_54')).
% 4.07/4.28 tff(552,plain,
% 4.07/4.28 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[551, 550])).
% 4.07/4.28 tff(553,plain,
% 4.07/4.28 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[552, 548])).
% 4.07/4.28 tff(554,plain,(
% 4.07/4.28 ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))),
% 4.07/4.28 inference(skolemize,[status(sab)],[553])).
% 4.07/4.28 tff(555,plain,
% 4.07/4.28 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[554, 547])).
% 4.07/4.28 tff(556,plain,
% 4.07/4.28 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p0, s0))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p0, s0))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(557,plain,
% 4.07/4.28 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p0, s0))),
% 4.07/4.28 inference(quant_inst,[status(thm)],[])).
% 4.07/4.28 tff(558,plain,
% 4.07/4.28 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p0, s0)),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[557, 556])).
% 4.07/4.28 tff(559,plain,
% 4.07/4.28 ($false),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[558, 555, 514, 545])).
% 4.07/4.28 tff(560,plain,((~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p0, s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.28 tff(561,plain,
% 4.07/4.28 (~m_main_v_REPLY_h_STALL(s0)),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[560, 544])).
% 4.07/4.28 tff(562,assumption,(m_memory_v_REPLY_h_STALL(c_m, s0)), introduced(assumption)).
% 4.07/4.28 tff(563,assumption,(~m_main_v_REPLY_h_STALL(s0)), introduced(assumption)).
% 4.07/4.28 tff(564,plain,
% 4.07/4.28 (^[X: $i] : refl((m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X))) <=> (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X))))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(565,plain,
% 4.07/4.28 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X))) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[564])).
% 4.07/4.28 tff(566,plain,
% 4.07/4.28 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X))) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(567,plain,
% 4.07/4.28 (^[X: $i] : rewrite(((~m_memory_v_REPLY_h_STALL(c_m, X)) | m_main_v_REPLY_h_STALL(X)) <=> (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X))))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(568,plain,
% 4.07/4.28 (![X: $i] : ((~m_memory_v_REPLY_h_STALL(c_m, X)) | m_main_v_REPLY_h_STALL(X)) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[567])).
% 4.07/4.28 tff(569,axiom,(![X: $i] : ((~m_memory_v_REPLY_h_STALL(c_m, X)) | m_main_v_REPLY_h_STALL(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_46')).
% 4.07/4.28 tff(570,plain,
% 4.07/4.28 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[569, 568])).
% 4.07/4.28 tff(571,plain,
% 4.07/4.28 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[570, 566])).
% 4.07/4.28 tff(572,plain,(
% 4.07/4.28 ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))),
% 4.07/4.28 inference(skolemize,[status(sab)],[571])).
% 4.07/4.28 tff(573,plain,
% 4.07/4.28 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[572, 565])).
% 4.07/4.28 tff(574,plain,
% 4.07/4.28 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | (m_main_v_REPLY_h_STALL(s0) | (~m_memory_v_REPLY_h_STALL(c_m, s0)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | m_main_v_REPLY_h_STALL(s0) | (~m_memory_v_REPLY_h_STALL(c_m, s0)))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(575,plain,
% 4.07/4.28 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | (m_main_v_REPLY_h_STALL(s0) | (~m_memory_v_REPLY_h_STALL(c_m, s0)))),
% 4.07/4.28 inference(quant_inst,[status(thm)],[])).
% 4.07/4.28 tff(576,plain,
% 4.07/4.28 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | m_main_v_REPLY_h_STALL(s0) | (~m_memory_v_REPLY_h_STALL(c_m, s0))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[575, 574])).
% 4.07/4.28 tff(577,plain,
% 4.07/4.28 ($false),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[576, 573, 563, 562])).
% 4.07/4.28 tff(578,plain,((~m_memory_v_REPLY_h_STALL(c_m, s0)) | m_main_v_REPLY_h_STALL(s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.28 tff(579,plain,
% 4.07/4.28 ($false),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[578, 561, 482])).
% 4.07/4.28 tff(580,plain,(m_processor_v_state(c_p1, s1, c_invalid) | m_memory_v_busy(c_m, s1) | node20(c_m, s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.28 tff(581,plain,
% 4.07/4.28 (node20(c_m, s0)),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[580, 5, 4])).
% 4.07/4.28 tff(582,assumption,(node20(c_m, s0)), introduced(assumption)).
% 4.07/4.28 tff(583,assumption,(m_memory_v_CMD(c_m, s0, c_read_h_owned)), introduced(assumption)).
% 4.07/4.28 tff(584,plain,
% 4.07/4.28 (^[I0: $i, X: $i] : refl(((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned))) <=> ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned))))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(585,plain,
% 4.07/4.28 (![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned))) <=> ![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[584])).
% 4.07/4.28 tff(586,plain,
% 4.07/4.28 (![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned))) <=> ![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(587,plain,
% 4.07/4.28 (^[I0: $i, X: $i] : rewrite(((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node20(I0, X))) <=> ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned))))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(588,plain,
% 4.07/4.28 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node20(I0, X))) <=> ![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[587])).
% 4.07/4.28 tff(589,axiom,(![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node20(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_43')).
% 4.07/4.28 tff(590,plain,
% 4.07/4.28 (![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[589, 588])).
% 4.07/4.28 tff(591,plain,
% 4.07/4.28 (![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[590, 586])).
% 4.07/4.28 tff(592,plain,(
% 4.07/4.28 ![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))),
% 4.07/4.28 inference(skolemize,[status(sab)],[591])).
% 4.07/4.28 tff(593,plain,
% 4.07/4.28 (![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[592, 585])).
% 4.07/4.28 tff(594,plain,
% 4.07/4.28 (((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | ((~node20(c_m, s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | (~node20(c_m, s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_owned)))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(595,plain,
% 4.07/4.28 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | ((~node20(c_m, s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_owned)))),
% 4.07/4.28 inference(quant_inst,[status(thm)],[])).
% 4.07/4.28 tff(596,plain,
% 4.07/4.28 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | (~node20(c_m, s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_owned))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[595, 594])).
% 4.07/4.28 tff(597,plain,
% 4.07/4.28 ($false),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[596, 593, 583, 582])).
% 4.07/4.28 tff(598,plain,((~node20(c_m, s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.07/4.28 tff(599,plain,
% 4.07/4.28 (~m_memory_v_CMD(c_m, s0, c_read_h_owned)),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[598, 581])).
% 4.07/4.28 tff(600,assumption,(~m_memory_v_CMD(c_m, s0, c_read_h_owned)), introduced(assumption)).
% 4.07/4.28 tff(601,assumption,(m_main_v_CMD(s0, c_read_h_owned)), introduced(assumption)).
% 4.07/4.28 tff(602,assumption,(~node1(s0)), introduced(assumption)).
% 4.07/4.28 tff(603,plain,
% 4.07/4.28 (^[X: $i] : refl(node1(X) <=> node1(X))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(604,plain,
% 4.07/4.28 (![X: $i] : node1(X) <=> ![X: $i] : node1(X)),
% 4.07/4.28 inference(quant_intro,[status(thm)],[603])).
% 4.07/4.28 tff(605,plain,
% 4.07/4.28 (![X: $i] : node1(X) <=> ![X: $i] : node1(X)),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(606,axiom,(![X: $i] : node1(X)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_40')).
% 4.07/4.28 tff(607,plain,
% 4.07/4.28 (![X: $i] : node1(X)),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[606, 605])).
% 4.07/4.28 tff(608,plain,(
% 4.07/4.28 ![X: $i] : node1(X)),
% 4.07/4.28 inference(skolemize,[status(sab)],[607])).
% 4.07/4.28 tff(609,plain,
% 4.07/4.28 (![X: $i] : node1(X)),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[608, 604])).
% 4.07/4.28 tff(610,plain,
% 4.07/4.28 ((~![X: $i] : node1(X)) | node1(s0)),
% 4.07/4.28 inference(quant_inst,[status(thm)],[])).
% 4.07/4.28 tff(611,plain,
% 4.07/4.28 ($false),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[610, 609, 602])).
% 4.07/4.28 tff(612,plain,(node1(s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.28 tff(613,plain,
% 4.07/4.28 (^[V: $i, X: $i] : refl(((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V)) <=> ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V)))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(614,plain,
% 4.07/4.28 (![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V)) <=> ![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[613])).
% 4.07/4.28 tff(615,plain,
% 4.07/4.28 (![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V)) <=> ![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(616,plain,
% 4.07/4.28 (^[V: $i, X: $i] : trans(monotonicity(rewrite((m_memory_v_CMD(c_m, X, V) | (~m_main_v_CMD(X, V))) <=> ((~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))), (((m_memory_v_CMD(c_m, X, V) | (~m_main_v_CMD(X, V))) | (~node1(X))) <=> (((~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V)) | (~node1(X))))), rewrite((((~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V)) | (~node1(X))) <=> ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))), (((m_memory_v_CMD(c_m, X, V) | (~m_main_v_CMD(X, V))) | (~node1(X))) <=> ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(617,plain,
% 4.07/4.28 (![V: $i, X: $i] : ((m_memory_v_CMD(c_m, X, V) | (~m_main_v_CMD(X, V))) | (~node1(X))) <=> ![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[616])).
% 4.07/4.28 tff(618,axiom,(![V: $i, X: $i] : ((m_memory_v_CMD(c_m, X, V) | (~m_main_v_CMD(X, V))) | (~node1(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_38')).
% 4.07/4.28 tff(619,plain,
% 4.07/4.28 (![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[618, 617])).
% 4.07/4.28 tff(620,plain,
% 4.07/4.28 (![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[619, 615])).
% 4.07/4.28 tff(621,plain,(
% 4.07/4.28 ![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))),
% 4.07/4.28 inference(skolemize,[status(sab)],[620])).
% 4.07/4.28 tff(622,plain,
% 4.07/4.28 (![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[621, 614])).
% 4.07/4.28 tff(623,plain,
% 4.07/4.28 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s0)) | (~m_main_v_CMD(s0, c_read_h_owned)) | m_memory_v_CMD(c_m, s0, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s0)) | (~m_main_v_CMD(s0, c_read_h_owned)) | m_memory_v_CMD(c_m, s0, c_read_h_owned))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(624,plain,
% 4.07/4.28 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s0)) | (~m_main_v_CMD(s0, c_read_h_owned)) | m_memory_v_CMD(c_m, s0, c_read_h_owned))),
% 4.07/4.28 inference(quant_inst,[status(thm)],[])).
% 4.07/4.28 tff(625,plain,
% 4.07/4.28 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s0)) | (~m_main_v_CMD(s0, c_read_h_owned)) | m_memory_v_CMD(c_m, s0, c_read_h_owned)),
% 4.07/4.28 inference(modus_ponens,[status(thm)],[624, 623])).
% 4.07/4.28 tff(626,plain,
% 4.07/4.28 ($false),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[625, 622, 612, 601, 600])).
% 4.07/4.28 tff(627,plain,(m_memory_v_CMD(c_m, s0, c_read_h_owned) | (~m_main_v_CMD(s0, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.07/4.28 tff(628,plain,
% 4.07/4.28 (~m_main_v_CMD(s0, c_read_h_owned)),
% 4.07/4.28 inference(unit_resolution,[status(thm)],[627, 599])).
% 4.07/4.28 tff(629,assumption,(~m_processor_v_state(c_p1, s1, c_owned)), introduced(assumption)).
% 4.07/4.28 tff(630,assumption,(~node34(c_p1, s0, s1)), introduced(assumption)).
% 4.07/4.28 tff(631,plain,
% 4.07/4.28 (^[Y: $i, I0: $i, X: $i] : refl((node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(632,plain,
% 4.07/4.28 (![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.07/4.28 inference(quant_intro,[status(thm)],[631])).
% 4.07/4.28 tff(633,plain,
% 4.07/4.28 (![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.07/4.28 inference(rewrite,[status(thm)],[])).
% 4.07/4.28 tff(634,plain,
% 4.07/4.28 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X))), (((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | node34(I0, X, Y)) <=> (((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)) | node34(I0, X, Y)))), rewrite((((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)) | node34(I0, X, Y)) <=> (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X))), (((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | node34(I0, X, Y)) <=> (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)))), ((((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | node34(I0, X, Y)) | (~node38(I0, X, Y))) <=> ((node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)) | (~node38(I0, X, Y))))), rewrite(((node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)) | (~node38(I0, X, Y))) <=> (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))), ((((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | node34(I0, X, Y)) | (~node38(I0, X, Y))) <=> (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))))),
% 4.07/4.28 inference(bind,[status(th)],[])).
% 4.07/4.28 tff(635,plain,
% 4.07/4.28 (![Y: $i, I0: $i, X: $i] : (((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | node34(I0, X, Y)) | (~node38(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.07/4.29 inference(quant_intro,[status(thm)],[634])).
% 4.07/4.29 tff(636,axiom,(![Y: $i, I0: $i, X: $i] : (((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | node34(I0, X, Y)) | (~node38(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_68')).
% 4.07/4.29 tff(637,plain,
% 4.07/4.29 (![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.07/4.29 inference(modus_ponens,[status(thm)],[636, 635])).
% 4.07/4.29 tff(638,plain,
% 4.07/4.29 (![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.07/4.29 inference(modus_ponens,[status(thm)],[637, 633])).
% 4.07/4.29 tff(639,plain,(
% 4.07/4.29 ![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.07/4.29 inference(skolemize,[status(sab)],[638])).
% 4.07/4.29 tff(640,plain,
% 4.07/4.29 (![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.07/4.29 inference(modus_ponens,[status(thm)],[639, 632])).
% 4.07/4.29 tff(641,plain,
% 4.07/4.29 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s0)) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0) | node34(c_p1, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s0)) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0) | node34(c_p1, s0, s1))),
% 4.07/4.29 inference(rewrite,[status(thm)],[])).
% 4.07/4.29 tff(642,plain,
% 4.07/4.29 ((node34(c_p1, s0, s1) | (~m_processor_v_master(c_p1, s0)) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0)) <=> ((~m_processor_v_master(c_p1, s0)) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0) | node34(c_p1, s0, s1))),
% 4.07/4.29 inference(rewrite,[status(thm)],[])).
% 4.07/4.29 tff(643,plain,
% 4.07/4.29 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s0, s1) | (~m_processor_v_master(c_p1, s0)) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s0)) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0) | node34(c_p1, s0, s1)))),
% 4.07/4.29 inference(monotonicity,[status(thm)],[642])).
% 4.07/4.29 tff(644,plain,
% 4.07/4.29 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s0, s1) | (~m_processor_v_master(c_p1, s0)) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s0)) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0) | node34(c_p1, s0, s1))),
% 4.07/4.29 inference(transitivity,[status(thm)],[643, 641])).
% 4.07/4.29 tff(645,plain,
% 4.07/4.29 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s0, s1) | (~m_processor_v_master(c_p1, s0)) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0))),
% 4.07/4.29 inference(quant_inst,[status(thm)],[])).
% 4.07/4.29 tff(646,plain,
% 4.07/4.29 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s0)) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0) | node34(c_p1, s0, s1)),
% 4.07/4.29 inference(modus_ponens,[status(thm)],[645, 644])).
% 4.07/4.29 tff(647,plain,
% 4.07/4.29 ($false),
% 4.07/4.29 inference(unit_resolution,[status(thm)],[646, 640, 66, 145, 484, 630])).
% 4.07/4.29 tff(648,plain,(node34(c_p1, s0, s1) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_abort(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.29 tff(649,plain,
% 4.07/4.29 (m_processor_v_abort(c_p1, s0)),
% 4.07/4.29 inference(unit_resolution,[status(thm)],[648, 143, 630])).
% 4.07/4.29 tff(650,plain,
% 4.07/4.29 ($false),
% 4.07/4.29 inference(unit_resolution,[status(thm)],[84, 649, 37])).
% 4.07/4.29 tff(651,plain,(m_processor_v_state(c_p1, s1, c_invalid) | node34(c_p1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.29 tff(652,plain,
% 4.07/4.29 (node34(c_p1, s0, s1)),
% 4.07/4.29 inference(unit_resolution,[status(thm)],[651, 5])).
% 4.07/4.29 tff(653,assumption,(~m_main_v_CMD(s0, c_read_h_shared)), introduced(assumption)).
% 4.07/4.29 tff(654,assumption,(m_processor_v_CMD(c_p1, s0, c_read_h_shared)), introduced(assumption)).
% 4.07/4.29 tff(655,assumption,(~node3(s0)), introduced(assumption)).
% 4.07/4.29 tff(656,plain,
% 4.07/4.29 (^[X: $i] : refl(node3(X) <=> node3(X))),
% 4.07/4.29 inference(bind,[status(th)],[])).
% 4.07/4.29 tff(657,plain,
% 4.07/4.29 (![X: $i] : node3(X) <=> ![X: $i] : node3(X)),
% 4.07/4.29 inference(quant_intro,[status(thm)],[656])).
% 4.07/4.29 tff(658,plain,
% 4.07/4.29 (![X: $i] : node3(X) <=> ![X: $i] : node3(X)),
% 4.07/4.29 inference(rewrite,[status(thm)],[])).
% 4.07/4.29 tff(659,axiom,(![X: $i] : node3(X)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_58')).
% 4.07/4.29 tff(660,plain,
% 4.07/4.29 (![X: $i] : node3(X)),
% 4.07/4.29 inference(modus_ponens,[status(thm)],[659, 658])).
% 4.07/4.29 tff(661,plain,(
% 4.07/4.29 ![X: $i] : node3(X)),
% 4.07/4.29 inference(skolemize,[status(sab)],[660])).
% 4.07/4.29 tff(662,plain,
% 4.07/4.29 (![X: $i] : node3(X)),
% 4.07/4.29 inference(modus_ponens,[status(thm)],[661, 657])).
% 4.07/4.29 tff(663,plain,
% 4.07/4.29 ((~![X: $i] : node3(X)) | node3(s0)),
% 4.07/4.29 inference(quant_inst,[status(thm)],[])).
% 4.07/4.29 tff(664,plain,
% 4.07/4.29 ($false),
% 4.07/4.29 inference(unit_resolution,[status(thm)],[663, 662, 655])).
% 4.07/4.29 tff(665,plain,(node3(s0)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.29 tff(666,plain,
% 4.07/4.29 (^[V: $i, X: $i] : refl((m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V))) <=> (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V))))),
% 4.07/4.29 inference(bind,[status(th)],[])).
% 4.07/4.29 tff(667,plain,
% 4.07/4.29 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))),
% 4.07/4.29 inference(quant_intro,[status(thm)],[666])).
% 4.07/4.29 tff(668,plain,
% 4.07/4.29 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))),
% 4.07/4.29 inference(rewrite,[status(thm)],[])).
% 4.07/4.29 tff(669,plain,
% 4.07/4.29 (^[V: $i, X: $i] : rewrite((((~m_processor_v_CMD(c_p1, X, V)) | m_main_v_CMD(X, V)) | (~node3(X))) <=> (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V))))),
% 4.07/4.29 inference(bind,[status(th)],[])).
% 4.07/4.29 tff(670,plain,
% 4.07/4.29 (![V: $i, X: $i] : (((~m_processor_v_CMD(c_p1, X, V)) | m_main_v_CMD(X, V)) | (~node3(X))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))),
% 4.07/4.29 inference(quant_intro,[status(thm)],[669])).
% 4.07/4.29 tff(671,axiom,(![V: $i, X: $i] : (((~m_processor_v_CMD(c_p1, X, V)) | m_main_v_CMD(X, V)) | (~node3(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_57')).
% 4.07/4.29 tff(672,plain,
% 4.07/4.29 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))),
% 4.07/4.29 inference(modus_ponens,[status(thm)],[671, 670])).
% 4.07/4.29 tff(673,plain,
% 4.07/4.29 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))),
% 4.07/4.29 inference(modus_ponens,[status(thm)],[672, 668])).
% 4.07/4.29 tff(674,plain,(
% 4.07/4.29 ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))),
% 4.07/4.29 inference(skolemize,[status(sab)],[673])).
% 4.07/4.29 tff(675,plain,
% 4.07/4.29 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))),
% 4.07/4.29 inference(modus_ponens,[status(thm)],[674, 667])).
% 4.07/4.29 tff(676,plain,
% 4.07/4.29 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node3(s0)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node3(s0)))),
% 4.07/4.29 inference(rewrite,[status(thm)],[])).
% 4.07/4.29 tff(677,plain,
% 4.07/4.29 ((m_main_v_CMD(s0, c_read_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared))) <=> (m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node3(s0)))),
% 4.07/4.29 inference(rewrite,[status(thm)],[])).
% 4.07/4.29 tff(678,plain,
% 4.07/4.29 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node3(s0))))),
% 4.07/4.29 inference(monotonicity,[status(thm)],[677])).
% 4.07/4.29 tff(679,plain,
% 4.07/4.29 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node3(s0)))),
% 4.07/4.29 inference(transitivity,[status(thm)],[678, 676])).
% 4.07/4.29 tff(680,plain,
% 4.07/4.29 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)))),
% 4.07/4.29 inference(quant_inst,[status(thm)],[])).
% 4.07/4.29 tff(681,plain,
% 4.07/4.29 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node3(s0))),
% 4.07/4.29 inference(modus_ponens,[status(thm)],[680, 679])).
% 4.07/4.29 tff(682,plain,
% 4.07/4.29 ($false),
% 4.07/4.29 inference(unit_resolution,[status(thm)],[681, 675, 665, 653, 654])).
% 4.07/4.29 tff(683,plain,((~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | m_main_v_CMD(s0, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.07/4.29 tff(684,plain,
% 4.07/4.29 (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)),
% 4.07/4.29 inference(unit_resolution,[status(thm)],[683, 653])).
% 4.07/4.29 tff(685,assumption,(node16(s0)), introduced(assumption)).
% 4.07/4.29 tff(686,plain,
% 4.07/4.29 (^[X: $i] : refl(((~node16(X)) | (~m_processor_v_master(c_p1, X))) <=> ((~node16(X)) | (~m_processor_v_master(c_p1, X))))),
% 4.07/4.29 inference(bind,[status(th)],[])).
% 4.07/4.29 tff(687,plain,
% 4.07/4.29 (![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X))) <=> ![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))),
% 4.07/4.29 inference(quant_intro,[status(thm)],[686])).
% 4.07/4.29 tff(688,plain,
% 4.07/4.29 (![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X))) <=> ![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))),
% 4.07/4.29 inference(rewrite,[status(thm)],[])).
% 4.07/4.29 tff(689,plain,
% 4.07/4.29 (^[X: $i] : rewrite(((~m_processor_v_master(c_p1, X)) | (~node16(X))) <=> ((~node16(X)) | (~m_processor_v_master(c_p1, X))))),
% 4.07/4.29 inference(bind,[status(th)],[])).
% 4.07/4.29 tff(690,plain,
% 4.07/4.29 (![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node16(X))) <=> ![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))),
% 4.07/4.29 inference(quant_intro,[status(thm)],[689])).
% 4.07/4.29 tff(691,axiom,(![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node16(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_119')).
% 4.07/4.29 tff(692,plain,
% 4.07/4.29 (![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))),
% 4.07/4.29 inference(modus_ponens,[status(thm)],[691, 690])).
% 4.07/4.29 tff(693,plain,
% 4.07/4.29 (![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))),
% 4.07/4.29 inference(modus_ponens,[status(thm)],[692, 688])).
% 4.07/4.29 tff(694,plain,(
% 4.07/4.29 ![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))),
% 4.07/4.29 inference(skolemize,[status(sab)],[693])).
% 4.07/4.29 tff(695,plain,
% 4.07/4.29 (![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))),
% 4.07/4.29 inference(modus_ponens,[status(thm)],[694, 687])).
% 4.07/4.29 tff(696,plain,
% 4.07/4.29 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s0)) | (~m_processor_v_master(c_p1, s0)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s0)) | (~m_processor_v_master(c_p1, s0)))),
% 4.07/4.29 inference(rewrite,[status(thm)],[])).
% 4.07/4.29 tff(697,plain,
% 4.07/4.29 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s0)) | (~m_processor_v_master(c_p1, s0)))),
% 4.07/4.29 inference(quant_inst,[status(thm)],[])).
% 4.07/4.29 tff(698,plain,
% 4.07/4.29 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s0)) | (~m_processor_v_master(c_p1, s0))),
% 4.07/4.29 inference(modus_ponens,[status(thm)],[697, 696])).
% 4.07/4.29 tff(699,plain,
% 4.07/4.29 ($false),
% 4.07/4.29 inference(unit_resolution,[status(thm)],[698, 695, 145, 685])).
% 4.07/4.29 tff(700,plain,((~node16(s0)) | (~m_processor_v_master(c_p1, s0))), inference(lemma,lemma(discharge,[]))).
% 4.07/4.29 tff(701,plain,
% 4.07/4.29 (~node16(s0)),
% 4.07/4.29 inference(unit_resolution,[status(thm)],[700, 143])).
% 4.07/4.29 tff(702,assumption,(m_processor_v_master(c_p2, s0)), introduced(assumption)).
% 4.07/4.29 tff(703,assumption,(~node16(s0)), introduced(assumption)).
% 4.07/4.29 tff(704,plain,
% 4.07/4.29 (^[X: $i] : refl((node16(X) | (~m_processor_v_master(c_p2, X))) <=> (node16(X) | (~m_processor_v_master(c_p2, X))))),
% 4.07/4.29 inference(bind,[status(th)],[])).
% 4.07/4.29 tff(705,plain,
% 4.07/4.29 (![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X))) <=> ![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))),
% 4.07/4.29 inference(quant_intro,[status(thm)],[704])).
% 4.07/4.29 tff(706,plain,
% 4.07/4.29 (![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X))) <=> ![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))),
% 4.07/4.29 inference(rewrite,[status(thm)],[])).
% 4.07/4.29 tff(707,axiom,(![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_120')).
% 4.07/4.29 tff(708,plain,
% 4.07/4.29 (![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))),
% 4.07/4.29 inference(modus_ponens,[status(thm)],[707, 706])).
% 4.07/4.29 tff(709,plain,(
% 4.07/4.29 ![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))),
% 4.07/4.29 inference(skolemize,[status(sab)],[708])).
% 4.07/4.29 tff(710,plain,
% 4.07/4.29 (![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))),
% 4.07/4.29 inference(modus_ponens,[status(thm)],[709, 705])).
% 4.07/4.29 tff(711,plain,
% 4.07/4.29 (((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s0) | (~m_processor_v_master(c_p2, s0)))) <=> ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s0) | (~m_processor_v_master(c_p2, s0)))),
% 4.13/4.29 inference(rewrite,[status(thm)],[])).
% 4.13/4.29 tff(712,plain,
% 4.13/4.29 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s0) | (~m_processor_v_master(c_p2, s0)))),
% 4.13/4.29 inference(quant_inst,[status(thm)],[])).
% 4.13/4.29 tff(713,plain,
% 4.13/4.29 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s0) | (~m_processor_v_master(c_p2, s0))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[712, 711])).
% 4.13/4.29 tff(714,plain,
% 4.13/4.29 ($false),
% 4.13/4.29 inference(unit_resolution,[status(thm)],[713, 710, 703, 702])).
% 4.13/4.29 tff(715,plain,((~m_processor_v_master(c_p2, s0)) | node16(s0)), inference(lemma,lemma(discharge,[]))).
% 4.13/4.29 tff(716,plain,
% 4.13/4.29 (~m_processor_v_master(c_p2, s0)),
% 4.13/4.29 inference(unit_resolution,[status(thm)],[715, 701])).
% 4.13/4.29 tff(717,assumption,(~m_processor_v_master(c_p2, s0)), introduced(assumption)).
% 4.13/4.29 tff(718,assumption,(~m_processor_v_cmd(c_p2, s0, c_idle)), introduced(assumption)).
% 4.13/4.29 tff(719,assumption,(node64(c_p2, s0)), introduced(assumption)).
% 4.13/4.29 tff(720,plain,
% 4.13/4.29 (^[I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~node64(I0, X))) <=> (m_processor_v_master(I0, X) | (~node64(I0, X))))),
% 4.13/4.29 inference(bind,[status(th)],[])).
% 4.13/4.29 tff(721,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))),
% 4.13/4.29 inference(quant_intro,[status(thm)],[720])).
% 4.13/4.29 tff(722,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))),
% 4.13/4.29 inference(rewrite,[status(thm)],[])).
% 4.13/4.29 tff(723,axiom,(![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_146')).
% 4.13/4.29 tff(724,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[723, 722])).
% 4.13/4.29 tff(725,plain,(
% 4.13/4.29 ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))),
% 4.13/4.29 inference(skolemize,[status(sab)],[724])).
% 4.13/4.29 tff(726,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[725, 721])).
% 4.13/4.29 tff(727,plain,
% 4.13/4.29 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s0) | (~node64(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s0) | (~node64(c_p2, s0)))),
% 4.13/4.29 inference(rewrite,[status(thm)],[])).
% 4.13/4.29 tff(728,plain,
% 4.13/4.29 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s0) | (~node64(c_p2, s0)))),
% 4.13/4.29 inference(quant_inst,[status(thm)],[])).
% 4.13/4.29 tff(729,plain,
% 4.13/4.29 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s0) | (~node64(c_p2, s0))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[728, 727])).
% 4.13/4.29 tff(730,plain,
% 4.13/4.29 ($false),
% 4.13/4.29 inference(unit_resolution,[status(thm)],[729, 726, 719, 717])).
% 4.13/4.29 tff(731,plain,((~node64(c_p2, s0)) | m_processor_v_master(c_p2, s0)), inference(lemma,lemma(discharge,[]))).
% 4.13/4.29 tff(732,plain,
% 4.13/4.29 (~node64(c_p2, s0)),
% 4.13/4.29 inference(unit_resolution,[status(thm)],[731, 717])).
% 4.13/4.29 tff(733,assumption,(node65(c_p2, s0)), introduced(assumption)).
% 4.13/4.29 tff(734,plain,
% 4.13/4.29 (^[I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~node65(I0, X))) <=> (m_processor_v_master(I0, X) | (~node65(I0, X))))),
% 4.13/4.29 inference(bind,[status(th)],[])).
% 4.13/4.29 tff(735,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))),
% 4.13/4.29 inference(quant_intro,[status(thm)],[734])).
% 4.13/4.29 tff(736,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))),
% 4.13/4.29 inference(rewrite,[status(thm)],[])).
% 4.13/4.29 tff(737,axiom,(![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_149')).
% 4.13/4.29 tff(738,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[737, 736])).
% 4.13/4.29 tff(739,plain,(
% 4.13/4.29 ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))),
% 4.13/4.29 inference(skolemize,[status(sab)],[738])).
% 4.13/4.29 tff(740,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[739, 735])).
% 4.13/4.29 tff(741,plain,
% 4.13/4.29 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s0) | (~node65(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s0) | (~node65(c_p2, s0)))),
% 4.13/4.29 inference(rewrite,[status(thm)],[])).
% 4.13/4.29 tff(742,plain,
% 4.13/4.29 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s0) | (~node65(c_p2, s0)))),
% 4.13/4.29 inference(quant_inst,[status(thm)],[])).
% 4.13/4.29 tff(743,plain,
% 4.13/4.29 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s0) | (~node65(c_p2, s0))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[742, 741])).
% 4.13/4.29 tff(744,plain,
% 4.13/4.29 ($false),
% 4.13/4.29 inference(unit_resolution,[status(thm)],[743, 740, 733, 717])).
% 4.13/4.29 tff(745,plain,((~node65(c_p2, s0)) | m_processor_v_master(c_p2, s0)), inference(lemma,lemma(discharge,[]))).
% 4.13/4.29 tff(746,plain,
% 4.13/4.29 (~node65(c_p2, s0)),
% 4.13/4.29 inference(unit_resolution,[status(thm)],[745, 717])).
% 4.13/4.29 tff(747,assumption,(~node64(c_p2, s0)), introduced(assumption)).
% 4.13/4.29 tff(748,assumption,(~node65(c_p2, s0)), introduced(assumption)).
% 4.13/4.29 tff(749,assumption,(~node66(c_p2, s0)), introduced(assumption)).
% 4.13/4.29 tff(750,assumption,(node62(c_p2, s0)), introduced(assumption)).
% 4.13/4.29 tff(751,plain,
% 4.13/4.29 (^[I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~node62(I0, X))) <=> (m_processor_v_master(I0, X) | (~node62(I0, X))))),
% 4.13/4.29 inference(bind,[status(th)],[])).
% 4.13/4.29 tff(752,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))),
% 4.13/4.29 inference(quant_intro,[status(thm)],[751])).
% 4.13/4.29 tff(753,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))),
% 4.13/4.29 inference(rewrite,[status(thm)],[])).
% 4.13/4.29 tff(754,axiom,(![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_142')).
% 4.13/4.29 tff(755,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[754, 753])).
% 4.13/4.29 tff(756,plain,(
% 4.13/4.29 ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))),
% 4.13/4.29 inference(skolemize,[status(sab)],[755])).
% 4.13/4.29 tff(757,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[756, 752])).
% 4.13/4.29 tff(758,plain,
% 4.13/4.29 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s0) | (~node62(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s0) | (~node62(c_p2, s0)))),
% 4.13/4.29 inference(rewrite,[status(thm)],[])).
% 4.13/4.29 tff(759,plain,
% 4.13/4.29 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s0) | (~node62(c_p2, s0)))),
% 4.13/4.29 inference(quant_inst,[status(thm)],[])).
% 4.13/4.29 tff(760,plain,
% 4.13/4.29 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s0) | (~node62(c_p2, s0))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[759, 758])).
% 4.13/4.29 tff(761,plain,
% 4.13/4.29 ($false),
% 4.13/4.29 inference(unit_resolution,[status(thm)],[760, 757, 750, 717])).
% 4.13/4.29 tff(762,plain,((~node62(c_p2, s0)) | m_processor_v_master(c_p2, s0)), inference(lemma,lemma(discharge,[]))).
% 4.13/4.29 tff(763,plain,
% 4.13/4.29 (~node62(c_p2, s0)),
% 4.13/4.29 inference(unit_resolution,[status(thm)],[762, 717])).
% 4.13/4.29 tff(764,plain,
% 4.13/4.29 (^[I0: $i, X: $i] : refl((m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X)) <=> (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X)))),
% 4.13/4.29 inference(bind,[status(th)],[])).
% 4.13/4.29 tff(765,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))),
% 4.13/4.29 inference(quant_intro,[status(thm)],[764])).
% 4.13/4.29 tff(766,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))),
% 4.13/4.29 inference(rewrite,[status(thm)],[])).
% 4.13/4.29 tff(767,plain,
% 4.13/4.29 (^[I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node62(I0, X) | node63(I0, X)) | node64(I0, X)) <=> (node62(I0, X) | node63(I0, X) | node64(I0, X))), ((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) <=> ((node62(I0, X) | node63(I0, X) | node64(I0, X)) | node65(I0, X)))), rewrite(((node62(I0, X) | node63(I0, X) | node64(I0, X)) | node65(I0, X)) <=> (node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))), ((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) <=> (node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)))), (((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | node66(I0, X)) <=> ((node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) | node66(I0, X)))), rewrite(((node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) | node66(I0, X)) <=> (node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))), (((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | node66(I0, X)) <=> (node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X)))), ((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | node66(I0, X)) | m_processor_v_cmd(I0, X, c_idle)) <=> ((node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X)) | m_processor_v_cmd(I0, X, c_idle)))), rewrite(((node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X)) | m_processor_v_cmd(I0, X, c_idle)) <=> (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))), ((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | node66(I0, X)) | m_processor_v_cmd(I0, X, c_idle)) <=> (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))))),
% 4.13/4.29 inference(bind,[status(th)],[])).
% 4.13/4.29 tff(768,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | node66(I0, X)) | m_processor_v_cmd(I0, X, c_idle)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))),
% 4.13/4.29 inference(quant_intro,[status(thm)],[767])).
% 4.13/4.29 tff(769,axiom,(![I0: $i, X: $i] : (((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | node66(I0, X)) | m_processor_v_cmd(I0, X, c_idle))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_160')).
% 4.13/4.29 tff(770,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[769, 768])).
% 4.13/4.29 tff(771,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[770, 766])).
% 4.13/4.29 tff(772,plain,(
% 4.13/4.29 ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))),
% 4.13/4.29 inference(skolemize,[status(sab)],[771])).
% 4.13/4.29 tff(773,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[772, 765])).
% 4.13/4.29 tff(774,plain,
% 4.13/4.29 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node66(c_p2, s0) | node65(c_p2, s0) | node64(c_p2, s0) | node63(c_p2, s0) | node62(c_p2, s0) | m_processor_v_cmd(c_p2, s0, c_idle))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node66(c_p2, s0) | node65(c_p2, s0) | node64(c_p2, s0) | node63(c_p2, s0) | node62(c_p2, s0) | m_processor_v_cmd(c_p2, s0, c_idle))),
% 4.13/4.29 inference(rewrite,[status(thm)],[])).
% 4.13/4.29 tff(775,plain,
% 4.13/4.29 ((m_processor_v_cmd(c_p2, s0, c_idle) | node62(c_p2, s0) | node63(c_p2, s0) | node64(c_p2, s0) | node65(c_p2, s0) | node66(c_p2, s0)) <=> (node66(c_p2, s0) | node65(c_p2, s0) | node64(c_p2, s0) | node63(c_p2, s0) | node62(c_p2, s0) | m_processor_v_cmd(c_p2, s0, c_idle))),
% 4.13/4.29 inference(rewrite,[status(thm)],[])).
% 4.13/4.29 tff(776,plain,
% 4.13/4.29 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s0, c_idle) | node62(c_p2, s0) | node63(c_p2, s0) | node64(c_p2, s0) | node65(c_p2, s0) | node66(c_p2, s0))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node66(c_p2, s0) | node65(c_p2, s0) | node64(c_p2, s0) | node63(c_p2, s0) | node62(c_p2, s0) | m_processor_v_cmd(c_p2, s0, c_idle)))),
% 4.13/4.29 inference(monotonicity,[status(thm)],[775])).
% 4.13/4.29 tff(777,plain,
% 4.13/4.29 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s0, c_idle) | node62(c_p2, s0) | node63(c_p2, s0) | node64(c_p2, s0) | node65(c_p2, s0) | node66(c_p2, s0))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node66(c_p2, s0) | node65(c_p2, s0) | node64(c_p2, s0) | node63(c_p2, s0) | node62(c_p2, s0) | m_processor_v_cmd(c_p2, s0, c_idle))),
% 4.13/4.29 inference(transitivity,[status(thm)],[776, 774])).
% 4.13/4.29 tff(778,plain,
% 4.13/4.29 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s0, c_idle) | node62(c_p2, s0) | node63(c_p2, s0) | node64(c_p2, s0) | node65(c_p2, s0) | node66(c_p2, s0))),
% 4.13/4.29 inference(quant_inst,[status(thm)],[])).
% 4.13/4.29 tff(779,plain,
% 4.13/4.29 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node66(c_p2, s0) | node65(c_p2, s0) | node64(c_p2, s0) | node63(c_p2, s0) | node62(c_p2, s0) | m_processor_v_cmd(c_p2, s0, c_idle)),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[778, 777])).
% 4.13/4.29 tff(780,plain,
% 4.13/4.29 (node66(c_p2, s0) | node65(c_p2, s0) | node64(c_p2, s0) | node63(c_p2, s0) | node62(c_p2, s0)),
% 4.13/4.29 inference(unit_resolution,[status(thm)],[779, 773, 718])).
% 4.13/4.29 tff(781,plain,
% 4.13/4.29 (node63(c_p2, s0)),
% 4.13/4.29 inference(unit_resolution,[status(thm)],[780, 763, 749, 748, 747])).
% 4.13/4.29 tff(782,plain,
% 4.13/4.29 (^[I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~node63(I0, X))) <=> (m_processor_v_master(I0, X) | (~node63(I0, X))))),
% 4.13/4.29 inference(bind,[status(th)],[])).
% 4.13/4.29 tff(783,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))),
% 4.13/4.29 inference(quant_intro,[status(thm)],[782])).
% 4.13/4.29 tff(784,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))),
% 4.13/4.29 inference(rewrite,[status(thm)],[])).
% 4.13/4.29 tff(785,axiom,(![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_144')).
% 4.13/4.29 tff(786,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[785, 784])).
% 4.13/4.29 tff(787,plain,(
% 4.13/4.29 ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))),
% 4.13/4.29 inference(skolemize,[status(sab)],[786])).
% 4.13/4.29 tff(788,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[787, 783])).
% 4.13/4.29 tff(789,plain,
% 4.13/4.29 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s0) | (~node63(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s0) | (~node63(c_p2, s0)))),
% 4.13/4.29 inference(rewrite,[status(thm)],[])).
% 4.13/4.29 tff(790,plain,
% 4.13/4.29 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s0) | (~node63(c_p2, s0)))),
% 4.13/4.29 inference(quant_inst,[status(thm)],[])).
% 4.13/4.29 tff(791,plain,
% 4.13/4.29 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s0) | (~node63(c_p2, s0))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[790, 789])).
% 4.13/4.29 tff(792,plain,
% 4.13/4.29 ($false),
% 4.13/4.29 inference(unit_resolution,[status(thm)],[791, 788, 781, 717])).
% 4.13/4.29 tff(793,plain,(m_processor_v_master(c_p2, s0) | node66(c_p2, s0) | node65(c_p2, s0) | node64(c_p2, s0) | m_processor_v_cmd(c_p2, s0, c_idle)), inference(lemma,lemma(discharge,[]))).
% 4.13/4.29 tff(794,plain,
% 4.13/4.29 (node66(c_p2, s0)),
% 4.13/4.29 inference(unit_resolution,[status(thm)],[793, 746, 717, 732, 718])).
% 4.13/4.29 tff(795,plain,
% 4.13/4.29 (^[I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~node66(I0, X))) <=> (m_processor_v_master(I0, X) | (~node66(I0, X))))),
% 4.13/4.29 inference(bind,[status(th)],[])).
% 4.13/4.29 tff(796,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))),
% 4.13/4.29 inference(quant_intro,[status(thm)],[795])).
% 4.13/4.29 tff(797,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))),
% 4.13/4.29 inference(rewrite,[status(thm)],[])).
% 4.13/4.29 tff(798,axiom,(![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_152')).
% 4.13/4.29 tff(799,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[798, 797])).
% 4.13/4.29 tff(800,plain,(
% 4.13/4.29 ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))),
% 4.13/4.29 inference(skolemize,[status(sab)],[799])).
% 4.13/4.29 tff(801,plain,
% 4.13/4.29 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[800, 796])).
% 4.13/4.29 tff(802,plain,
% 4.13/4.29 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s0) | (~node66(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s0) | (~node66(c_p2, s0)))),
% 4.13/4.29 inference(rewrite,[status(thm)],[])).
% 4.13/4.29 tff(803,plain,
% 4.13/4.29 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s0) | (~node66(c_p2, s0)))),
% 4.13/4.29 inference(quant_inst,[status(thm)],[])).
% 4.13/4.29 tff(804,plain,
% 4.13/4.29 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s0) | (~node66(c_p2, s0))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[803, 802])).
% 4.13/4.29 tff(805,plain,
% 4.13/4.29 ($false),
% 4.13/4.29 inference(unit_resolution,[status(thm)],[804, 801, 794, 717])).
% 4.13/4.29 tff(806,plain,(m_processor_v_master(c_p2, s0) | m_processor_v_cmd(c_p2, s0, c_idle)), inference(lemma,lemma(discharge,[]))).
% 4.13/4.29 tff(807,plain,
% 4.13/4.29 (m_processor_v_cmd(c_p2, s0, c_idle)),
% 4.13/4.29 inference(unit_resolution,[status(thm)],[806, 716])).
% 4.13/4.29 tff(808,assumption,(m_processor_v_master(c_p0, s0)), introduced(assumption)).
% 4.13/4.29 tff(809,plain,
% 4.13/4.29 (^[X: $i] : refl(((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X))) <=> ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X))))),
% 4.13/4.29 inference(bind,[status(th)],[])).
% 4.13/4.29 tff(810,plain,
% 4.13/4.29 (![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X))) <=> ![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))),
% 4.13/4.29 inference(quant_intro,[status(thm)],[809])).
% 4.13/4.29 tff(811,plain,
% 4.13/4.29 (![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X))) <=> ![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))),
% 4.13/4.29 inference(rewrite,[status(thm)],[])).
% 4.13/4.29 tff(812,axiom,(![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_116')).
% 4.13/4.29 tff(813,plain,
% 4.13/4.29 (![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[812, 811])).
% 4.13/4.29 tff(814,plain,(
% 4.13/4.29 ![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))),
% 4.13/4.29 inference(skolemize,[status(sab)],[813])).
% 4.13/4.29 tff(815,plain,
% 4.13/4.29 (![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[814, 810])).
% 4.13/4.29 tff(816,plain,
% 4.13/4.29 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_master(c_p1, s0)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s0)) | (~m_processor_v_master(c_p1, s0)))),
% 4.13/4.29 inference(rewrite,[status(thm)],[])).
% 4.13/4.29 tff(817,plain,
% 4.13/4.29 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_master(c_p1, s0)))),
% 4.13/4.29 inference(quant_inst,[status(thm)],[])).
% 4.13/4.29 tff(818,plain,
% 4.13/4.29 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s0)) | (~m_processor_v_master(c_p1, s0))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[817, 816])).
% 4.13/4.29 tff(819,plain,
% 4.13/4.29 ($false),
% 4.13/4.29 inference(unit_resolution,[status(thm)],[818, 815, 808, 145])).
% 4.13/4.29 tff(820,plain,((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_master(c_p1, s0))), inference(lemma,lemma(discharge,[]))).
% 4.13/4.29 tff(821,plain,
% 4.13/4.29 (~m_processor_v_master(c_p0, s0)),
% 4.13/4.29 inference(unit_resolution,[status(thm)],[820, 143])).
% 4.13/4.29 tff(822,plain,
% 4.13/4.29 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s0) | (~node62(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s0) | (~node62(c_p0, s0)))),
% 4.13/4.29 inference(rewrite,[status(thm)],[])).
% 4.13/4.29 tff(823,plain,
% 4.13/4.29 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s0) | (~node62(c_p0, s0)))),
% 4.13/4.29 inference(quant_inst,[status(thm)],[])).
% 4.13/4.29 tff(824,plain,
% 4.13/4.29 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s0) | (~node62(c_p0, s0))),
% 4.13/4.29 inference(modus_ponens,[status(thm)],[823, 822])).
% 4.13/4.30 tff(825,plain,
% 4.13/4.30 (~node62(c_p0, s0)),
% 4.13/4.30 inference(unit_resolution,[status(thm)],[824, 757, 821])).
% 4.13/4.30 tff(826,plain,
% 4.13/4.30 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_state(c_p0, s0, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_state(c_p0, s0, c_shared)))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(827,plain,
% 4.13/4.30 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_state(c_p0, s0, c_shared)))),
% 4.13/4.30 inference(quant_inst,[status(thm)],[])).
% 4.13/4.30 tff(828,plain,
% 4.13/4.30 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_state(c_p0, s0, c_shared))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[827, 826])).
% 4.13/4.30 tff(829,plain,
% 4.13/4.30 (~m_processor_v_state(c_p0, s0, c_shared)),
% 4.13/4.30 inference(unit_resolution,[status(thm)],[828, 107, 287])).
% 4.13/4.30 tff(830,plain,
% 4.13/4.30 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_shared) | (~node63(I0, X))) <=> (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X))))),
% 4.13/4.30 inference(bind,[status(th)],[])).
% 4.13/4.30 tff(831,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))),
% 4.13/4.30 inference(quant_intro,[status(thm)],[830])).
% 4.13/4.30 tff(832,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(833,axiom,(![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_145')).
% 4.13/4.30 tff(834,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[833, 832])).
% 4.13/4.30 tff(835,plain,(
% 4.13/4.30 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))),
% 4.13/4.30 inference(skolemize,[status(sab)],[834])).
% 4.13/4.30 tff(836,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[835, 831])).
% 4.13/4.30 tff(837,plain,
% 4.13/4.30 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s0, c_shared) | (~node63(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s0, c_shared) | (~node63(c_p0, s0)))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(838,plain,
% 4.13/4.30 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s0, c_shared) | (~node63(c_p0, s0)))),
% 4.13/4.30 inference(quant_inst,[status(thm)],[])).
% 4.13/4.30 tff(839,plain,
% 4.13/4.30 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s0, c_shared) | (~node63(c_p0, s0))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[838, 837])).
% 4.13/4.30 tff(840,plain,
% 4.13/4.30 (~node63(c_p0, s0)),
% 4.13/4.30 inference(unit_resolution,[status(thm)],[839, 836, 829])).
% 4.13/4.30 tff(841,plain,
% 4.13/4.30 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_owned) | (~node64(I0, X))) <=> (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X))))),
% 4.13/4.30 inference(bind,[status(th)],[])).
% 4.13/4.30 tff(842,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))),
% 4.13/4.30 inference(quant_intro,[status(thm)],[841])).
% 4.13/4.30 tff(843,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(844,axiom,(![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_147')).
% 4.13/4.30 tff(845,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[844, 843])).
% 4.13/4.30 tff(846,plain,(
% 4.13/4.30 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))),
% 4.13/4.30 inference(skolemize,[status(sab)],[845])).
% 4.13/4.30 tff(847,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[846, 842])).
% 4.13/4.30 tff(848,plain,
% 4.13/4.30 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | ((~node64(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | (~node64(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(849,plain,
% 4.13/4.30 ((m_processor_v_state(c_p0, s0, c_owned) | (~node64(c_p0, s0))) <=> ((~node64(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(850,plain,
% 4.13/4.30 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node64(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | ((~node64(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned)))),
% 4.13/4.30 inference(monotonicity,[status(thm)],[849])).
% 4.13/4.30 tff(851,plain,
% 4.13/4.30 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node64(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | (~node64(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 4.13/4.30 inference(transitivity,[status(thm)],[850, 848])).
% 4.13/4.30 tff(852,plain,
% 4.13/4.30 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node64(c_p0, s0)))),
% 4.13/4.30 inference(quant_inst,[status(thm)],[])).
% 4.13/4.30 tff(853,plain,
% 4.13/4.30 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | (~node64(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned)),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[852, 851])).
% 4.13/4.30 tff(854,plain,
% 4.13/4.30 (~node64(c_p0, s0)),
% 4.13/4.30 inference(unit_resolution,[status(thm)],[853, 847, 291])).
% 4.13/4.30 tff(855,plain,
% 4.13/4.30 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_owned) | (~node65(I0, X))) <=> (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X))))),
% 4.13/4.30 inference(bind,[status(th)],[])).
% 4.13/4.30 tff(856,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))),
% 4.13/4.30 inference(quant_intro,[status(thm)],[855])).
% 4.13/4.30 tff(857,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(858,axiom,(![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_150')).
% 4.13/4.30 tff(859,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[858, 857])).
% 4.13/4.30 tff(860,plain,(
% 4.13/4.30 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))),
% 4.13/4.30 inference(skolemize,[status(sab)],[859])).
% 4.13/4.30 tff(861,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[860, 856])).
% 4.13/4.30 tff(862,plain,
% 4.13/4.30 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | ((~node65(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | (~node65(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(863,plain,
% 4.13/4.30 ((m_processor_v_state(c_p0, s0, c_owned) | (~node65(c_p0, s0))) <=> ((~node65(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(864,plain,
% 4.13/4.30 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node65(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | ((~node65(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned)))),
% 4.13/4.30 inference(monotonicity,[status(thm)],[863])).
% 4.13/4.30 tff(865,plain,
% 4.13/4.30 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node65(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | (~node65(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 4.13/4.30 inference(transitivity,[status(thm)],[864, 862])).
% 4.13/4.30 tff(866,plain,
% 4.13/4.30 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node65(c_p0, s0)))),
% 4.13/4.30 inference(quant_inst,[status(thm)],[])).
% 4.13/4.30 tff(867,plain,
% 4.13/4.30 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | (~node65(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned)),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[866, 865])).
% 4.13/4.30 tff(868,plain,
% 4.13/4.30 (~node65(c_p0, s0)),
% 4.13/4.30 inference(unit_resolution,[status(thm)],[867, 861, 291])).
% 4.13/4.30 tff(869,plain,
% 4.13/4.30 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_owned) | (~node66(I0, X))) <=> (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X))))),
% 4.13/4.30 inference(bind,[status(th)],[])).
% 4.13/4.30 tff(870,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))),
% 4.13/4.30 inference(quant_intro,[status(thm)],[869])).
% 4.13/4.30 tff(871,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(872,axiom,(![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_153')).
% 4.13/4.30 tff(873,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[872, 871])).
% 4.13/4.30 tff(874,plain,(
% 4.13/4.30 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))),
% 4.13/4.30 inference(skolemize,[status(sab)],[873])).
% 4.13/4.30 tff(875,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[874, 870])).
% 4.13/4.30 tff(876,plain,
% 4.13/4.30 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | ((~node66(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | (~node66(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(877,plain,
% 4.13/4.30 ((m_processor_v_state(c_p0, s0, c_owned) | (~node66(c_p0, s0))) <=> ((~node66(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(878,plain,
% 4.13/4.30 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node66(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | ((~node66(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned)))),
% 4.13/4.30 inference(monotonicity,[status(thm)],[877])).
% 4.13/4.30 tff(879,plain,
% 4.13/4.30 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node66(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | (~node66(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 4.13/4.30 inference(transitivity,[status(thm)],[878, 876])).
% 4.13/4.30 tff(880,plain,
% 4.13/4.30 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node66(c_p0, s0)))),
% 4.13/4.30 inference(quant_inst,[status(thm)],[])).
% 4.13/4.30 tff(881,plain,
% 4.13/4.30 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | (~node66(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned)),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[880, 879])).
% 4.13/4.30 tff(882,plain,
% 4.13/4.30 (~node66(c_p0, s0)),
% 4.13/4.30 inference(unit_resolution,[status(thm)],[881, 875, 291])).
% 4.13/4.30 tff(883,plain,
% 4.13/4.30 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node66(c_p0, s0) | node62(c_p0, s0) | node63(c_p0, s0) | node64(c_p0, s0) | node65(c_p0, s0) | m_processor_v_cmd(c_p0, s0, c_idle))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node66(c_p0, s0) | node62(c_p0, s0) | node63(c_p0, s0) | node64(c_p0, s0) | node65(c_p0, s0) | m_processor_v_cmd(c_p0, s0, c_idle))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(884,plain,
% 4.13/4.30 ((m_processor_v_cmd(c_p0, s0, c_idle) | node62(c_p0, s0) | node63(c_p0, s0) | node64(c_p0, s0) | node65(c_p0, s0) | node66(c_p0, s0)) <=> (node66(c_p0, s0) | node62(c_p0, s0) | node63(c_p0, s0) | node64(c_p0, s0) | node65(c_p0, s0) | m_processor_v_cmd(c_p0, s0, c_idle))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(885,plain,
% 4.13/4.30 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s0, c_idle) | node62(c_p0, s0) | node63(c_p0, s0) | node64(c_p0, s0) | node65(c_p0, s0) | node66(c_p0, s0))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node66(c_p0, s0) | node62(c_p0, s0) | node63(c_p0, s0) | node64(c_p0, s0) | node65(c_p0, s0) | m_processor_v_cmd(c_p0, s0, c_idle)))),
% 4.13/4.30 inference(monotonicity,[status(thm)],[884])).
% 4.13/4.30 tff(886,plain,
% 4.13/4.30 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s0, c_idle) | node62(c_p0, s0) | node63(c_p0, s0) | node64(c_p0, s0) | node65(c_p0, s0) | node66(c_p0, s0))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node66(c_p0, s0) | node62(c_p0, s0) | node63(c_p0, s0) | node64(c_p0, s0) | node65(c_p0, s0) | m_processor_v_cmd(c_p0, s0, c_idle))),
% 4.13/4.30 inference(transitivity,[status(thm)],[885, 883])).
% 4.13/4.30 tff(887,plain,
% 4.13/4.30 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s0, c_idle) | node62(c_p0, s0) | node63(c_p0, s0) | node64(c_p0, s0) | node65(c_p0, s0) | node66(c_p0, s0))),
% 4.13/4.30 inference(quant_inst,[status(thm)],[])).
% 4.13/4.30 tff(888,plain,
% 4.13/4.30 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node66(c_p0, s0) | node62(c_p0, s0) | node63(c_p0, s0) | node64(c_p0, s0) | node65(c_p0, s0) | m_processor_v_cmd(c_p0, s0, c_idle)),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[887, 886])).
% 4.13/4.30 tff(889,plain,
% 4.13/4.30 (node62(c_p0, s0) | m_processor_v_cmd(c_p0, s0, c_idle)),
% 4.13/4.30 inference(unit_resolution,[status(thm)],[888, 773, 882, 868, 854, 840])).
% 4.13/4.30 tff(890,plain,
% 4.13/4.30 (m_processor_v_cmd(c_p0, s0, c_idle)),
% 4.13/4.30 inference(unit_resolution,[status(thm)],[889, 825])).
% 4.13/4.30 tff(891,assumption,(~m_processor_v_CMD(c_p1, s0, c_read_h_owned)), introduced(assumption)).
% 4.13/4.30 tff(892,plain,
% 4.13/4.30 (^[V: $i, X: $i] : refl(((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V)) <=> ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V)))),
% 4.13/4.30 inference(bind,[status(th)],[])).
% 4.13/4.30 tff(893,plain,
% 4.13/4.30 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V)) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))),
% 4.13/4.30 inference(quant_intro,[status(thm)],[892])).
% 4.13/4.30 tff(894,plain,
% 4.13/4.30 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V)) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(895,plain,
% 4.13/4.30 (^[V: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_CMD(c_p1, X, V) | (~m_main_v_CMD(X, V))) <=> ((~m_main_v_CMD(X, V)) | m_processor_v_CMD(c_p1, X, V))), (((m_processor_v_CMD(c_p1, X, V) | (~m_main_v_CMD(X, V))) | (~node3(X))) <=> (((~m_main_v_CMD(X, V)) | m_processor_v_CMD(c_p1, X, V)) | (~node3(X))))), rewrite((((~m_main_v_CMD(X, V)) | m_processor_v_CMD(c_p1, X, V)) | (~node3(X))) <=> ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))), (((m_processor_v_CMD(c_p1, X, V) | (~m_main_v_CMD(X, V))) | (~node3(X))) <=> ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))))),
% 4.13/4.30 inference(bind,[status(th)],[])).
% 4.13/4.30 tff(896,plain,
% 4.13/4.30 (![V: $i, X: $i] : ((m_processor_v_CMD(c_p1, X, V) | (~m_main_v_CMD(X, V))) | (~node3(X))) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))),
% 4.13/4.30 inference(quant_intro,[status(thm)],[895])).
% 4.13/4.30 tff(897,axiom,(![V: $i, X: $i] : ((m_processor_v_CMD(c_p1, X, V) | (~m_main_v_CMD(X, V))) | (~node3(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_56')).
% 4.13/4.30 tff(898,plain,
% 4.13/4.30 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[897, 896])).
% 4.13/4.30 tff(899,plain,
% 4.13/4.30 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[898, 894])).
% 4.13/4.30 tff(900,plain,(
% 4.13/4.30 ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))),
% 4.13/4.30 inference(skolemize,[status(sab)],[899])).
% 4.13/4.30 tff(901,plain,
% 4.13/4.30 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[900, 893])).
% 4.13/4.30 tff(902,plain,
% 4.13/4.30 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_read_h_owned)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node3(s0)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s0, c_read_h_owned)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node3(s0)))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(903,plain,
% 4.13/4.30 (((~m_main_v_CMD(s0, c_read_h_owned)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned)) <=> ((~m_main_v_CMD(s0, c_read_h_owned)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node3(s0)))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(904,plain,
% 4.13/4.30 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_read_h_owned)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_read_h_owned)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node3(s0))))),
% 4.13/4.30 inference(monotonicity,[status(thm)],[903])).
% 4.13/4.30 tff(905,plain,
% 4.13/4.30 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_read_h_owned)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s0, c_read_h_owned)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node3(s0)))),
% 4.13/4.30 inference(transitivity,[status(thm)],[904, 902])).
% 4.13/4.30 tff(906,plain,
% 4.13/4.30 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_read_h_owned)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned))),
% 4.13/4.30 inference(quant_inst,[status(thm)],[])).
% 4.13/4.30 tff(907,plain,
% 4.13/4.30 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s0, c_read_h_owned)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node3(s0))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[906, 905])).
% 4.13/4.30 tff(908,plain,
% 4.13/4.30 ($false),
% 4.13/4.30 inference(unit_resolution,[status(thm)],[907, 901, 665, 601, 891])).
% 4.13/4.30 tff(909,plain,(m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~m_main_v_CMD(s0, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.13/4.30 tff(910,plain,
% 4.13/4.30 (~m_main_v_CMD(s0, c_read_h_owned)),
% 4.13/4.30 inference(unit_resolution,[status(thm)],[909, 891])).
% 4.13/4.30 tff(911,assumption,(m_memory_v_busy(c_m, s0)), introduced(assumption)).
% 4.13/4.30 tff(912,plain,
% 4.13/4.30 (^[I0: $i] : refl((~m_memory_v_busy(I0, s0)) <=> (~m_memory_v_busy(I0, s0)))),
% 4.13/4.30 inference(bind,[status(th)],[])).
% 4.13/4.30 tff(913,plain,
% 4.13/4.30 (![I0: $i] : (~m_memory_v_busy(I0, s0)) <=> ![I0: $i] : (~m_memory_v_busy(I0, s0))),
% 4.13/4.30 inference(quant_intro,[status(thm)],[912])).
% 4.13/4.30 tff(914,plain,
% 4.13/4.30 (![I0: $i] : (~m_memory_v_busy(I0, s0)) <=> ![I0: $i] : (~m_memory_v_busy(I0, s0))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(915,axiom,(![I0: $i] : (~m_memory_v_busy(I0, s0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_38')).
% 4.13/4.30 tff(916,plain,
% 4.13/4.30 (![I0: $i] : (~m_memory_v_busy(I0, s0))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[915, 914])).
% 4.13/4.30 tff(917,plain,(
% 4.13/4.30 ![I0: $i] : (~m_memory_v_busy(I0, s0))),
% 4.13/4.30 inference(skolemize,[status(sab)],[916])).
% 4.13/4.30 tff(918,plain,
% 4.13/4.30 (![I0: $i] : (~m_memory_v_busy(I0, s0))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[917, 913])).
% 4.13/4.30 tff(919,plain,
% 4.13/4.30 ((~![I0: $i] : (~m_memory_v_busy(I0, s0))) | (~m_memory_v_busy(c_m, s0))),
% 4.13/4.30 inference(quant_inst,[status(thm)],[])).
% 4.13/4.30 tff(920,plain,
% 4.13/4.30 ($false),
% 4.13/4.30 inference(unit_resolution,[status(thm)],[919, 918, 911])).
% 4.13/4.30 tff(921,plain,(~m_memory_v_busy(c_m, s0)), inference(lemma,lemma(discharge,[]))).
% 4.13/4.30 tff(922,assumption,(node29(c_m, s0)), introduced(assumption)).
% 4.13/4.30 tff(923,assumption,(~m_memory_v_busy(c_m, s0)), introduced(assumption)).
% 4.13/4.30 tff(924,plain,
% 4.13/4.30 (^[I0: $i, X: $i] : refl((m_memory_v_busy(I0, X) | (~node29(I0, X))) <=> (m_memory_v_busy(I0, X) | (~node29(I0, X))))),
% 4.13/4.30 inference(bind,[status(th)],[])).
% 4.13/4.30 tff(925,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))),
% 4.13/4.30 inference(quant_intro,[status(thm)],[924])).
% 4.13/4.30 tff(926,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(927,axiom,(![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_70')).
% 4.13/4.30 tff(928,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[927, 926])).
% 4.13/4.30 tff(929,plain,(
% 4.13/4.30 ![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))),
% 4.13/4.30 inference(skolemize,[status(sab)],[928])).
% 4.13/4.30 tff(930,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[929, 925])).
% 4.13/4.30 tff(931,plain,
% 4.13/4.30 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | ((~node29(c_m, s0)) | m_memory_v_busy(c_m, s0))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s0)) | m_memory_v_busy(c_m, s0))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(932,plain,
% 4.13/4.30 ((m_memory_v_busy(c_m, s0) | (~node29(c_m, s0))) <=> ((~node29(c_m, s0)) | m_memory_v_busy(c_m, s0))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(933,plain,
% 4.13/4.30 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s0) | (~node29(c_m, s0)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | ((~node29(c_m, s0)) | m_memory_v_busy(c_m, s0)))),
% 4.13/4.30 inference(monotonicity,[status(thm)],[932])).
% 4.13/4.30 tff(934,plain,
% 4.13/4.30 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s0) | (~node29(c_m, s0)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s0)) | m_memory_v_busy(c_m, s0))),
% 4.13/4.30 inference(transitivity,[status(thm)],[933, 931])).
% 4.13/4.30 tff(935,plain,
% 4.13/4.30 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s0) | (~node29(c_m, s0)))),
% 4.13/4.30 inference(quant_inst,[status(thm)],[])).
% 4.13/4.30 tff(936,plain,
% 4.13/4.30 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s0)) | m_memory_v_busy(c_m, s0)),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[935, 934])).
% 4.13/4.30 tff(937,plain,
% 4.13/4.30 ($false),
% 4.13/4.30 inference(unit_resolution,[status(thm)],[936, 930, 923, 922])).
% 4.13/4.30 tff(938,plain,((~node29(c_m, s0)) | m_memory_v_busy(c_m, s0)), inference(lemma,lemma(discharge,[]))).
% 4.13/4.30 tff(939,plain,
% 4.13/4.30 (~node29(c_m, s0)),
% 4.13/4.30 inference(unit_resolution,[status(thm)],[938, 921])).
% 4.13/4.30 tff(940,assumption,(~node29(c_m, s0)), introduced(assumption)).
% 4.13/4.30 tff(941,assumption,(~m_memory_v_cmd(c_m, s0, c_idle)), introduced(assumption)).
% 4.13/4.30 tff(942,plain,
% 4.13/4.30 (^[I0: $i, X: $i] : refl((node29(I0, X) | m_memory_v_cmd(I0, X, c_idle)) <=> (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle)))),
% 4.13/4.30 inference(bind,[status(th)],[])).
% 4.13/4.30 tff(943,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle)) <=> ![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))),
% 4.13/4.30 inference(quant_intro,[status(thm)],[942])).
% 4.13/4.30 tff(944,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle)) <=> ![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(945,axiom,(![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_72')).
% 4.13/4.30 tff(946,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[945, 944])).
% 4.13/4.30 tff(947,plain,(
% 4.13/4.30 ![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))),
% 4.13/4.30 inference(skolemize,[status(sab)],[946])).
% 4.13/4.30 tff(948,plain,
% 4.13/4.30 (![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[947, 943])).
% 4.13/4.30 tff(949,plain,
% 4.13/4.30 (((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s0) | m_memory_v_cmd(c_m, s0, c_idle))) <=> ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s0) | m_memory_v_cmd(c_m, s0, c_idle))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(950,plain,
% 4.13/4.30 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s0) | m_memory_v_cmd(c_m, s0, c_idle))),
% 4.13/4.30 inference(quant_inst,[status(thm)],[])).
% 4.13/4.30 tff(951,plain,
% 4.13/4.30 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s0) | m_memory_v_cmd(c_m, s0, c_idle)),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[950, 949])).
% 4.13/4.30 tff(952,plain,
% 4.13/4.30 ($false),
% 4.13/4.30 inference(unit_resolution,[status(thm)],[951, 948, 941, 940])).
% 4.13/4.30 tff(953,plain,(node29(c_m, s0) | m_memory_v_cmd(c_m, s0, c_idle)), inference(lemma,lemma(discharge,[]))).
% 4.13/4.30 tff(954,plain,
% 4.13/4.30 (m_memory_v_cmd(c_m, s0, c_idle)),
% 4.13/4.30 inference(unit_resolution,[status(thm)],[953, 939])).
% 4.13/4.30 tff(955,assumption,(m_processor_v_cmd(c_p1, s0, c_read_h_owned)), introduced(assumption)).
% 4.13/4.30 tff(956,assumption,(m_processor_v_cmd(c_p1, s0, c_idle)), introduced(assumption)).
% 4.13/4.30 tff(957,plain,
% 4.13/4.30 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned))) <=> ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned))))),
% 4.13/4.30 inference(bind,[status(th)],[])).
% 4.13/4.30 tff(958,plain,
% 4.13/4.30 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))),
% 4.13/4.30 inference(quant_intro,[status(thm)],[957])).
% 4.13/4.30 tff(959,plain,
% 4.13/4.30 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(960,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_3')).
% 4.13/4.30 tff(961,plain,
% 4.13/4.30 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[960, 959])).
% 4.13/4.30 tff(962,plain,(
% 4.13/4.30 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))),
% 4.13/4.30 inference(skolemize,[status(sab)],[961])).
% 4.13/4.30 tff(963,plain,
% 4.13/4.30 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[962, 958])).
% 4.13/4.30 tff(964,plain,
% 4.13/4.30 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p1, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p1, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_owned)))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(965,plain,
% 4.13/4.30 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p1, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_owned)))),
% 4.13/4.30 inference(quant_inst,[status(thm)],[])).
% 4.13/4.30 tff(966,plain,
% 4.13/4.30 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p1, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_owned))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[965, 964])).
% 4.13/4.30 tff(967,plain,
% 4.13/4.30 ($false),
% 4.13/4.30 inference(unit_resolution,[status(thm)],[966, 963, 955, 956])).
% 4.13/4.30 tff(968,plain,((~m_processor_v_cmd(c_p1, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.13/4.30 tff(969,plain,
% 4.13/4.30 (~m_processor_v_cmd(c_p1, s0, c_idle)),
% 4.13/4.30 inference(unit_resolution,[status(thm)],[968, 955])).
% 4.13/4.30 tff(970,plain,
% 4.13/4.30 (^[X: $i] : refl((m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X))) <=> (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X))))),
% 4.13/4.30 inference(bind,[status(th)],[])).
% 4.13/4.30 tff(971,plain,
% 4.13/4.30 (![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X))) <=> ![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))),
% 4.13/4.30 inference(quant_intro,[status(thm)],[970])).
% 4.13/4.30 tff(972,plain,
% 4.13/4.30 (![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X))) <=> ![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(973,axiom,(![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_92')).
% 4.13/4.30 tff(974,plain,
% 4.13/4.30 (![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[973, 972])).
% 4.13/4.30 tff(975,plain,(
% 4.13/4.30 ![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))),
% 4.13/4.30 inference(skolemize,[status(sab)],[974])).
% 4.13/4.30 tff(976,plain,
% 4.13/4.30 (![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[975, 971])).
% 4.13/4.30 tff(977,plain,
% 4.13/4.30 (((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s0, c_idle) | (~node9(s0)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s0, c_idle) | (~node9(s0)))),
% 4.13/4.30 inference(rewrite,[status(thm)],[])).
% 4.13/4.30 tff(978,plain,
% 4.13/4.30 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s0, c_idle) | (~node9(s0)))),
% 4.13/4.30 inference(quant_inst,[status(thm)],[])).
% 4.13/4.30 tff(979,plain,
% 4.13/4.30 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s0, c_idle) | (~node9(s0))),
% 4.13/4.30 inference(modus_ponens,[status(thm)],[978, 977])).
% 4.13/4.30 tff(980,plain,
% 4.13/4.30 (~node9(s0)),
% 4.13/4.30 inference(unit_resolution,[status(thm)],[979, 976, 969])).
% 4.13/4.30 tff(981,assumption,(m_processor_v_cmd(c_p2, s0, c_idle)), introduced(assumption)).
% 4.13/4.30 tff(982,assumption,(m_memory_v_cmd(c_m, s0, c_idle)), introduced(assumption)).
% 4.13/4.31 tff(983,assumption,(m_processor_v_cmd(c_p0, s0, c_idle)), introduced(assumption)).
% 4.13/4.31 tff(984,plain,
% 4.13/4.31 (^[X: $i] : refl((node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))))),
% 4.13/4.31 inference(bind,[status(th)],[])).
% 4.13/4.31 tff(985,plain,
% 4.13/4.31 (![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> ![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.13/4.31 inference(quant_intro,[status(thm)],[984])).
% 4.13/4.31 tff(986,plain,
% 4.13/4.31 (![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> ![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.13/4.31 inference(rewrite,[status(thm)],[])).
% 4.13/4.31 tff(987,plain,
% 4.13/4.31 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node9(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) <=> (node9(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))), ((((node9(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) <=> ((node9(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))))), rewrite(((node9(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) <=> (node9(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))), ((((node9(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) <=> (node9(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))))), (((((node9(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node10(X)) <=> ((node9(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | node10(X)))), rewrite(((node9(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | node10(X)) <=> (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))), (((((node9(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node10(X)) <=> (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))))),
% 4.13/4.31 inference(bind,[status(th)],[])).
% 4.13/4.31 tff(988,plain,
% 4.13/4.31 (![X: $i] : ((((node9(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node10(X)) <=> ![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.13/4.31 inference(quant_intro,[status(thm)],[987])).
% 4.13/4.31 tff(989,axiom,(![X: $i] : ((((node9(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node10(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_111')).
% 4.13/4.31 tff(990,plain,
% 4.13/4.31 (![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[989, 988])).
% 4.13/4.31 tff(991,plain,
% 4.13/4.31 (![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[990, 986])).
% 4.13/4.31 tff(992,plain,(
% 4.13/4.31 ![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.13/4.31 inference(skolemize,[status(sab)],[991])).
% 4.13/4.31 tff(993,plain,
% 4.13/4.31 (![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[992, 985])).
% 4.13/4.31 tff(994,plain,
% 4.13/4.31 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | node10(s0))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | node10(s0))),
% 4.13/4.31 inference(rewrite,[status(thm)],[])).
% 4.13/4.31 tff(995,plain,
% 4.13/4.31 ((node9(s0) | node10(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_idle))) <=> ((~m_processor_v_cmd(c_p0, s0, c_idle)) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | node10(s0))),
% 4.13/4.31 inference(rewrite,[status(thm)],[])).
% 4.13/4.31 tff(996,plain,
% 4.13/4.31 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s0) | node10(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | node10(s0)))),
% 4.13/4.31 inference(monotonicity,[status(thm)],[995])).
% 4.13/4.31 tff(997,plain,
% 4.13/4.31 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s0) | node10(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | node10(s0))),
% 4.13/4.31 inference(transitivity,[status(thm)],[996, 994])).
% 4.13/4.31 tff(998,plain,
% 4.13/4.31 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s0) | node10(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_idle)))),
% 4.13/4.31 inference(quant_inst,[status(thm)],[])).
% 4.13/4.31 tff(999,plain,
% 4.13/4.31 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | node10(s0)),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[998, 997])).
% 4.13/4.31 tff(1000,plain,
% 4.13/4.31 (node9(s0) | node10(s0)),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[999, 993, 983, 982, 981])).
% 4.13/4.31 tff(1001,plain,
% 4.13/4.31 (node10(s0)),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[1000, 980])).
% 4.13/4.31 tff(1002,assumption,(~m_main_v_CMD(s0, c_read_h_owned)), introduced(assumption)).
% 4.13/4.31 tff(1003,plain,
% 4.13/4.31 (^[V: $i, X: $i] : refl((m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V))) <=> (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V))))),
% 4.13/4.31 inference(bind,[status(th)],[])).
% 4.13/4.31 tff(1004,plain,
% 4.13/4.31 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))),
% 4.13/4.31 inference(quant_intro,[status(thm)],[1003])).
% 4.13/4.31 tff(1005,plain,
% 4.13/4.31 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))),
% 4.13/4.31 inference(rewrite,[status(thm)],[])).
% 4.13/4.31 tff(1006,plain,
% 4.13/4.31 (^[V: $i, X: $i] : trans(monotonicity(rewrite((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p1, X, V))) <=> (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p1, X, V)))), (((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p1, X, V))) | (~node10(X))) <=> ((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p1, X, V))) | (~node10(X))))), rewrite(((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p1, X, V))) | (~node10(X))) <=> (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))), (((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p1, X, V))) | (~node10(X))) <=> (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))))),
% 4.13/4.31 inference(bind,[status(th)],[])).
% 4.13/4.31 tff(1007,plain,
% 4.13/4.31 (![V: $i, X: $i] : ((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p1, X, V))) | (~node10(X))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))),
% 4.13/4.31 inference(quant_intro,[status(thm)],[1006])).
% 4.13/4.31 tff(1008,axiom,(![V: $i, X: $i] : ((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p1, X, V))) | (~node10(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_95')).
% 4.13/4.31 tff(1009,plain,
% 4.13/4.31 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1008, 1007])).
% 4.13/4.31 tff(1010,plain,
% 4.13/4.31 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1009, 1005])).
% 4.13/4.31 tff(1011,plain,(
% 4.13/4.31 ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))),
% 4.13/4.31 inference(skolemize,[status(sab)],[1010])).
% 4.13/4.31 tff(1012,plain,
% 4.13/4.31 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1011, 1004])).
% 4.13/4.31 tff(1013,plain,
% 4.13/4.31 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node10(s0)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s0, c_read_h_owned) | (~node10(s0)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_owned)))),
% 4.13/4.31 inference(rewrite,[status(thm)],[])).
% 4.13/4.31 tff(1014,plain,
% 4.13/4.31 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node10(s0)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_owned)))),
% 4.13/4.31 inference(quant_inst,[status(thm)],[])).
% 4.13/4.31 tff(1015,plain,
% 4.13/4.31 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s0, c_read_h_owned) | (~node10(s0)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_owned))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1014, 1013])).
% 4.13/4.31 tff(1016,plain,
% 4.13/4.31 ($false),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[1015, 1012, 955, 1002, 1001])).
% 4.13/4.31 tff(1017,plain,((~m_processor_v_cmd(c_p1, s0, c_read_h_owned)) | m_main_v_CMD(s0, c_read_h_owned) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle))), inference(lemma,lemma(discharge,[]))).
% 4.13/4.31 tff(1018,plain,
% 4.13/4.31 ((~m_processor_v_cmd(c_p1, s0, c_read_h_owned)) | m_main_v_CMD(s0, c_read_h_owned) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle))),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[1017, 954])).
% 4.13/4.31 tff(1019,plain,
% 4.13/4.31 (~m_processor_v_cmd(c_p1, s0, c_read_h_owned)),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[1018, 910, 890, 807])).
% 4.13/4.31 tff(1020,plain,
% 4.13/4.31 (^[I0: $i, X: $i] : refl((m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X))) <=> (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X))))),
% 4.13/4.31 inference(bind,[status(th)],[])).
% 4.13/4.31 tff(1021,plain,
% 4.13/4.31 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))),
% 4.13/4.31 inference(quant_intro,[status(thm)],[1020])).
% 4.13/4.31 tff(1022,plain,
% 4.13/4.31 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))),
% 4.13/4.31 inference(rewrite,[status(thm)],[])).
% 4.13/4.31 tff(1023,plain,
% 4.13/4.31 (^[I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_processor_v_cmd(I0, X, c_read_h_shared) | m_processor_v_cmd(I0, X, c_read_h_owned)) <=> (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared))), (((m_processor_v_cmd(I0, X, c_read_h_shared) | m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X))) <=> ((m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X))))), rewrite(((m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X))) <=> (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_master(I0, X)))), (((m_processor_v_cmd(I0, X, c_read_h_shared) | m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X))) <=> (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_master(I0, X))))), ((((m_processor_v_cmd(I0, X, c_read_h_shared) | m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_invalid))) <=> ((m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_invalid))))), rewrite(((m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_invalid))) <=> (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))), ((((m_processor_v_cmd(I0, X, c_read_h_shared) | m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_invalid))) <=> (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))))),
% 4.13/4.31 inference(bind,[status(th)],[])).
% 4.13/4.31 tff(1024,plain,
% 4.13/4.31 (![I0: $i, X: $i] : (((m_processor_v_cmd(I0, X, c_read_h_shared) | m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_invalid))) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))),
% 4.13/4.31 inference(quant_intro,[status(thm)],[1023])).
% 4.13/4.31 tff(1025,axiom,(![I0: $i, X: $i] : (((m_processor_v_cmd(I0, X, c_read_h_shared) | m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_155')).
% 4.13/4.31 tff(1026,plain,
% 4.13/4.31 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1025, 1024])).
% 4.13/4.31 tff(1027,plain,
% 4.13/4.31 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1026, 1022])).
% 4.13/4.31 tff(1028,plain,(
% 4.13/4.31 ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))),
% 4.13/4.31 inference(skolemize,[status(sab)],[1027])).
% 4.13/4.31 tff(1029,plain,
% 4.13/4.31 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1028, 1021])).
% 4.13/4.31 tff(1030,plain,
% 4.13/4.31 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p1, s0)) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s0)) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared))),
% 4.13/4.31 inference(rewrite,[status(thm)],[])).
% 4.13/4.31 tff(1031,plain,
% 4.13/4.31 ((m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared) | (~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_master(c_p1, s0))) <=> ((~m_processor_v_master(c_p1, s0)) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared))),
% 4.13/4.31 inference(rewrite,[status(thm)],[])).
% 4.13/4.31 tff(1032,plain,
% 4.13/4.31 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared) | (~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_master(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p1, s0)) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared)))),
% 4.13/4.31 inference(monotonicity,[status(thm)],[1031])).
% 4.13/4.31 tff(1033,plain,
% 4.13/4.31 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared) | (~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_master(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s0)) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared))),
% 4.13/4.31 inference(transitivity,[status(thm)],[1032, 1030])).
% 4.13/4.31 tff(1034,plain,
% 4.13/4.31 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared) | (~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_master(c_p1, s0)))),
% 4.13/4.31 inference(quant_inst,[status(thm)],[])).
% 4.13/4.31 tff(1035,plain,
% 4.13/4.31 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s0)) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared)),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1034, 1033])).
% 4.13/4.31 tff(1036,plain,
% 4.13/4.31 ((~m_processor_v_master(c_p1, s0)) | m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared)),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[1035, 1029, 18])).
% 4.13/4.31 tff(1037,plain,
% 4.13/4.31 (m_processor_v_cmd(c_p1, s0, c_read_h_shared)),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[1036, 1019, 143])).
% 4.13/4.31 tff(1038,assumption,(node10(s0)), introduced(assumption)).
% 4.13/4.31 tff(1039,assumption,(m_processor_v_cmd(c_p1, s0, c_read_h_shared)), introduced(assumption)).
% 4.13/4.31 tff(1040,plain,
% 4.13/4.31 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node10(s0)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~node10(s0)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_shared)))),
% 4.13/4.31 inference(rewrite,[status(thm)],[])).
% 4.13/4.31 tff(1041,plain,
% 4.13/4.31 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node10(s0)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_shared)))),
% 4.13/4.31 inference(quant_inst,[status(thm)],[])).
% 4.13/4.31 tff(1042,plain,
% 4.13/4.31 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~node10(s0)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_shared))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1041, 1040])).
% 4.13/4.31 tff(1043,plain,
% 4.13/4.31 ($false),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[1042, 1012, 1039, 653, 1038])).
% 4.13/4.31 tff(1044,plain,(m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_cmd(c_p1, s0, c_read_h_shared)) | (~node10(s0))), inference(lemma,lemma(discharge,[]))).
% 4.13/4.31 tff(1045,plain,
% 4.13/4.31 (~node10(s0)),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[1044, 1037, 653])).
% 4.13/4.31 tff(1046,plain,
% 4.13/4.31 (node9(s0) | node10(s0)),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[999, 993, 890, 954, 807])).
% 4.13/4.31 tff(1047,plain,
% 4.13/4.31 (node9(s0)),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[1046, 1045])).
% 4.13/4.31 tff(1048,assumption,(node8(s0)), introduced(assumption)).
% 4.13/4.31 tff(1049,plain,
% 4.13/4.31 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))) <=> ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))))),
% 4.13/4.31 inference(bind,[status(th)],[])).
% 4.13/4.31 tff(1050,plain,
% 4.13/4.31 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 4.13/4.31 inference(quant_intro,[status(thm)],[1049])).
% 4.13/4.31 tff(1051,plain,
% 4.13/4.31 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 4.13/4.31 inference(rewrite,[status(thm)],[])).
% 4.13/4.31 tff(1052,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_6')).
% 4.13/4.31 tff(1053,plain,
% 4.13/4.31 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1052, 1051])).
% 4.13/4.31 tff(1054,plain,(
% 4.13/4.31 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 4.13/4.31 inference(skolemize,[status(sab)],[1053])).
% 4.13/4.31 tff(1055,plain,
% 4.13/4.31 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1054, 1050])).
% 4.13/4.31 tff(1056,plain,
% 4.13/4.31 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid)))),
% 4.13/4.31 inference(rewrite,[status(thm)],[])).
% 4.13/4.31 tff(1057,plain,
% 4.13/4.31 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid)))),
% 4.13/4.31 inference(quant_inst,[status(thm)],[])).
% 4.13/4.31 tff(1058,plain,
% 4.13/4.31 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1057, 1056])).
% 4.13/4.31 tff(1059,plain,
% 4.13/4.31 (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid)),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[1058, 1055, 890])).
% 4.13/4.31 tff(1060,plain,
% 4.13/4.31 (^[V: $i, X: $i] : refl(((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V)) <=> ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V)))),
% 4.13/4.31 inference(bind,[status(th)],[])).
% 4.13/4.31 tff(1061,plain,
% 4.13/4.31 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V)) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))),
% 4.13/4.31 inference(quant_intro,[status(thm)],[1060])).
% 4.13/4.31 tff(1062,plain,
% 4.13/4.31 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V)) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))),
% 4.13/4.31 inference(rewrite,[status(thm)],[])).
% 4.13/4.31 tff(1063,plain,
% 4.13/4.31 (^[V: $i, X: $i] : rewrite((((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V)) | (~node8(X))) <=> ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V)))),
% 4.13/4.31 inference(bind,[status(th)],[])).
% 4.13/4.31 tff(1064,plain,
% 4.13/4.31 (![V: $i, X: $i] : (((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V)) | (~node8(X))) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))),
% 4.13/4.31 inference(quant_intro,[status(thm)],[1063])).
% 4.13/4.31 tff(1065,axiom,(![V: $i, X: $i] : (((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V)) | (~node8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_91')).
% 4.13/4.31 tff(1066,plain,
% 4.13/4.31 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1065, 1064])).
% 4.13/4.31 tff(1067,plain,
% 4.13/4.31 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1066, 1062])).
% 4.13/4.31 tff(1068,plain,(
% 4.13/4.31 ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))),
% 4.13/4.31 inference(skolemize,[status(sab)],[1067])).
% 4.13/4.31 tff(1069,plain,
% 4.13/4.31 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1068, 1061])).
% 4.13/4.31 tff(1070,plain,
% 4.13/4.31 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)))),
% 4.13/4.31 inference(rewrite,[status(thm)],[])).
% 4.13/4.31 tff(1071,plain,
% 4.13/4.31 (((~m_main_v_CMD(s0, c_write_h_resp_h_invalid)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid)) <=> (m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)))),
% 4.13/4.31 inference(rewrite,[status(thm)],[])).
% 4.13/4.31 tff(1072,plain,
% 4.13/4.31 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_invalid)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid))))),
% 4.13/4.31 inference(monotonicity,[status(thm)],[1071])).
% 4.13/4.31 tff(1073,plain,
% 4.13/4.31 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_invalid)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)))),
% 4.13/4.31 inference(transitivity,[status(thm)],[1072, 1070])).
% 4.13/4.31 tff(1074,plain,
% 4.13/4.31 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_invalid)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid))),
% 4.13/4.31 inference(quant_inst,[status(thm)],[])).
% 4.13/4.31 tff(1075,plain,
% 4.13/4.31 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1074, 1073])).
% 4.13/4.31 tff(1076,plain,
% 4.13/4.31 ((~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid))),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[1075, 1069, 1059])).
% 4.13/4.31 tff(1077,plain,
% 4.13/4.31 (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[1076, 1048])).
% 4.13/4.31 tff(1078,plain,
% 4.13/4.31 (~node17(s0)),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[157, 145])).
% 4.13/4.31 tff(1079,plain,
% 4.13/4.31 (^[I0: $i, X: $i] : refl((m_memory_v_master(I0, X) | (~node29(I0, X))) <=> (m_memory_v_master(I0, X) | (~node29(I0, X))))),
% 4.13/4.31 inference(bind,[status(th)],[])).
% 4.13/4.31 tff(1080,plain,
% 4.13/4.31 (![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))),
% 4.13/4.31 inference(quant_intro,[status(thm)],[1079])).
% 4.13/4.31 tff(1081,plain,
% 4.13/4.31 (![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))),
% 4.13/4.31 inference(rewrite,[status(thm)],[])).
% 4.13/4.31 tff(1082,axiom,(![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_69')).
% 4.13/4.31 tff(1083,plain,
% 4.13/4.31 (![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1082, 1081])).
% 4.13/4.31 tff(1084,plain,(
% 4.13/4.31 ![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))),
% 4.13/4.31 inference(skolemize,[status(sab)],[1083])).
% 4.13/4.31 tff(1085,plain,
% 4.13/4.31 (![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1084, 1080])).
% 4.13/4.31 tff(1086,plain,
% 4.13/4.31 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s0) | (~node29(c_m, s0)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s0) | (~node29(c_m, s0)))),
% 4.13/4.31 inference(rewrite,[status(thm)],[])).
% 4.13/4.31 tff(1087,plain,
% 4.13/4.31 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s0) | (~node29(c_m, s0)))),
% 4.13/4.31 inference(quant_inst,[status(thm)],[])).
% 4.13/4.31 tff(1088,plain,
% 4.13/4.31 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s0) | (~node29(c_m, s0))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1087, 1086])).
% 4.13/4.31 tff(1089,plain,
% 4.13/4.31 (m_memory_v_master(c_m, s0)),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[1088, 1085, 922])).
% 4.13/4.31 tff(1090,plain,
% 4.13/4.31 ($false),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[170, 167, 160, 1089])).
% 4.13/4.31 tff(1091,plain,(node17(s0) | (~node29(c_m, s0))), inference(lemma,lemma(discharge,[]))).
% 4.13/4.31 tff(1092,plain,
% 4.13/4.31 (~node29(c_m, s0)),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[1091, 1078])).
% 4.13/4.31 tff(1093,plain,
% 4.13/4.31 (m_memory_v_cmd(c_m, s0, c_idle)),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[953, 1092])).
% 4.13/4.31 tff(1094,plain,
% 4.13/4.31 (~node16(s0)),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[700, 145])).
% 4.13/4.31 tff(1095,plain,
% 4.13/4.31 (~m_processor_v_master(c_p2, s0)),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[715, 1094])).
% 4.13/4.31 tff(1096,plain,
% 4.13/4.31 (m_processor_v_cmd(c_p2, s0, c_idle)),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[806, 1095])).
% 4.13/4.31 tff(1097,assumption,(m_main_v_CMD(s0, c_write_h_resp_h_shared)), introduced(assumption)).
% 4.13/4.31 tff(1098,plain,
% 4.13/4.31 (~m_processor_v_master(c_p0, s0)),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[820, 145])).
% 4.13/4.31 tff(1099,plain,
% 4.13/4.31 (~node62(c_p0, s0)),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[824, 757, 1098])).
% 4.13/4.31 tff(1100,plain,
% 4.13/4.31 (m_processor_v_cmd(c_p0, s0, c_idle)),
% 4.13/4.31 inference(unit_resolution,[status(thm)],[889, 1099])).
% 4.13/4.31 tff(1101,plain,
% 4.13/4.31 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))))),
% 4.13/4.31 inference(bind,[status(th)],[])).
% 4.13/4.31 tff(1102,plain,
% 4.13/4.31 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 4.13/4.31 inference(quant_intro,[status(thm)],[1101])).
% 4.13/4.31 tff(1103,plain,
% 4.13/4.31 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 4.13/4.31 inference(rewrite,[status(thm)],[])).
% 4.13/4.31 tff(1104,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_7')).
% 4.13/4.31 tff(1105,plain,
% 4.13/4.31 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1104, 1103])).
% 4.13/4.31 tff(1106,plain,(
% 4.13/4.31 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 4.13/4.31 inference(skolemize,[status(sab)],[1105])).
% 4.13/4.31 tff(1107,plain,
% 4.13/4.31 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 4.13/4.31 inference(modus_ponens,[status(thm)],[1106, 1102])).
% 4.13/4.31 tff(1108,plain,
% 4.13/4.31 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared)))),
% 4.13/4.31 inference(rewrite,[status(thm)],[])).
% 4.13/4.31 tff(1109,plain,
% 4.13/4.31 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared)))),
% 4.13/4.31 inference(quant_inst,[status(thm)],[])).
% 4.13/4.31 tff(1110,plain,
% 4.13/4.31 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1109, 1108])).
% 4.13/4.32 tff(1111,plain,
% 4.13/4.32 (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared)),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[1110, 1107, 1100])).
% 4.13/4.32 tff(1112,plain,
% 4.13/4.32 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))),
% 4.13/4.32 inference(rewrite,[status(thm)],[])).
% 4.13/4.32 tff(1113,plain,
% 4.13/4.32 (((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared)) <=> (m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))),
% 4.13/4.32 inference(rewrite,[status(thm)],[])).
% 4.13/4.32 tff(1114,plain,
% 4.13/4.32 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared))))),
% 4.13/4.32 inference(monotonicity,[status(thm)],[1113])).
% 4.13/4.32 tff(1115,plain,
% 4.13/4.32 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))),
% 4.13/4.32 inference(transitivity,[status(thm)],[1114, 1112])).
% 4.13/4.32 tff(1116,plain,
% 4.13/4.32 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared))),
% 4.13/4.32 inference(quant_inst,[status(thm)],[])).
% 4.13/4.32 tff(1117,plain,
% 4.13/4.32 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1116, 1115])).
% 4.13/4.32 tff(1118,plain,
% 4.13/4.32 ((~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared))),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[1117, 1069, 1111])).
% 4.13/4.32 tff(1119,plain,
% 4.13/4.32 (~node8(s0)),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[1118, 1097])).
% 4.13/4.32 tff(1120,assumption,(~node8(s0)), introduced(assumption)).
% 4.13/4.32 tff(1121,plain,
% 4.13/4.32 (^[X: $i] : refl((node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle))) <=> (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle))))),
% 4.13/4.32 inference(bind,[status(th)],[])).
% 4.13/4.32 tff(1122,plain,
% 4.13/4.32 (![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle))) <=> ![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))),
% 4.13/4.32 inference(quant_intro,[status(thm)],[1121])).
% 4.13/4.32 tff(1123,plain,
% 4.13/4.32 (![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle))) <=> ![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))),
% 4.13/4.32 inference(rewrite,[status(thm)],[])).
% 4.13/4.32 tff(1124,plain,
% 4.13/4.32 (^[X: $i] : trans(monotonicity(rewrite((((~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) <=> ((~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))), (((((~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node8(X)) <=> (((~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle))) | node8(X)))), rewrite((((~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle))) | node8(X)) <=> (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))), (((((~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node8(X)) <=> (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))))),
% 4.13/4.32 inference(bind,[status(th)],[])).
% 4.13/4.32 tff(1125,plain,
% 4.13/4.32 (![X: $i] : ((((~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node8(X)) <=> ![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))),
% 4.13/4.32 inference(quant_intro,[status(thm)],[1124])).
% 4.13/4.32 tff(1126,axiom,(![X: $i] : ((((~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node8(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_110')).
% 4.13/4.32 tff(1127,plain,
% 4.13/4.32 (![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1126, 1125])).
% 4.13/4.32 tff(1128,plain,
% 4.13/4.32 (![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1127, 1123])).
% 4.13/4.32 tff(1129,plain,(
% 4.13/4.32 ![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))),
% 4.13/4.32 inference(skolemize,[status(sab)],[1128])).
% 4.13/4.32 tff(1130,plain,
% 4.13/4.32 (![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1129, 1122])).
% 4.13/4.32 tff(1131,plain,
% 4.13/4.32 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | node8(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)))),
% 4.13/4.32 inference(rewrite,[status(thm)],[])).
% 4.13/4.32 tff(1132,plain,
% 4.13/4.32 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)))),
% 4.13/4.32 inference(quant_inst,[status(thm)],[])).
% 4.13/4.32 tff(1133,plain,
% 4.13/4.32 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | node8(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1132, 1131])).
% 4.13/4.32 tff(1134,plain,
% 4.13/4.32 ($false),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[1133, 1130, 982, 981, 1120, 956])).
% 4.13/4.32 tff(1135,plain,((~m_processor_v_cmd(c_p1, s0, c_idle)) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | node8(s0)), inference(lemma,lemma(discharge,[]))).
% 4.13/4.32 tff(1136,plain,
% 4.13/4.32 (~m_processor_v_cmd(c_p1, s0, c_idle)),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[1135, 1119, 1096, 1093])).
% 4.13/4.32 tff(1137,plain,
% 4.13/4.32 (~node9(s0)),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[979, 976, 1136])).
% 4.13/4.32 tff(1138,plain,
% 4.13/4.32 (node9(s0) | node10(s0)),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[999, 993, 1100, 1093, 1096])).
% 4.13/4.32 tff(1139,plain,
% 4.13/4.32 (node10(s0)),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[1138, 1137])).
% 4.13/4.32 tff(1140,assumption,(~m_processor_v_cmd(c_p1, s0, c_write_h_resp_h_shared)), introduced(assumption)).
% 4.13/4.32 tff(1141,plain,
% 4.13/4.32 (^[V: $i, X: $i] : refl(((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V)) <=> ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V)))),
% 4.13/4.32 inference(bind,[status(th)],[])).
% 4.13/4.32 tff(1142,plain,
% 4.13/4.32 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V)) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))),
% 4.13/4.32 inference(quant_intro,[status(thm)],[1141])).
% 4.13/4.32 tff(1143,plain,
% 4.13/4.32 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V)) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))),
% 4.13/4.32 inference(rewrite,[status(thm)],[])).
% 4.13/4.32 tff(1144,plain,
% 4.13/4.32 (^[V: $i, X: $i] : rewrite((((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p1, X, V)) | (~node10(X))) <=> ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V)))),
% 4.13/4.32 inference(bind,[status(th)],[])).
% 4.13/4.32 tff(1145,plain,
% 4.13/4.32 (![V: $i, X: $i] : (((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p1, X, V)) | (~node10(X))) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))),
% 4.13/4.32 inference(quant_intro,[status(thm)],[1144])).
% 4.13/4.32 tff(1146,axiom,(![V: $i, X: $i] : (((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p1, X, V)) | (~node10(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_96')).
% 4.13/4.32 tff(1147,plain,
% 4.13/4.32 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1146, 1145])).
% 4.13/4.32 tff(1148,plain,
% 4.13/4.32 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1147, 1143])).
% 4.13/4.32 tff(1149,plain,(
% 4.13/4.32 ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))),
% 4.13/4.32 inference(skolemize,[status(sab)],[1148])).
% 4.13/4.32 tff(1150,plain,
% 4.13/4.32 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1149, 1142])).
% 4.13/4.32 tff(1151,plain,
% 4.13/4.32 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s0, c_write_h_resp_h_shared) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node10(s0)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s0, c_write_h_resp_h_shared) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node10(s0)))),
% 4.13/4.32 inference(rewrite,[status(thm)],[])).
% 4.13/4.32 tff(1152,plain,
% 4.13/4.32 (((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node10(s0)) | m_processor_v_cmd(c_p1, s0, c_write_h_resp_h_shared)) <=> (m_processor_v_cmd(c_p1, s0, c_write_h_resp_h_shared) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node10(s0)))),
% 4.13/4.32 inference(rewrite,[status(thm)],[])).
% 4.13/4.32 tff(1153,plain,
% 4.13/4.32 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node10(s0)) | m_processor_v_cmd(c_p1, s0, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s0, c_write_h_resp_h_shared) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node10(s0))))),
% 4.13/4.32 inference(monotonicity,[status(thm)],[1152])).
% 4.13/4.32 tff(1154,plain,
% 4.13/4.32 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node10(s0)) | m_processor_v_cmd(c_p1, s0, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s0, c_write_h_resp_h_shared) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node10(s0)))),
% 4.13/4.32 inference(transitivity,[status(thm)],[1153, 1151])).
% 4.13/4.32 tff(1155,plain,
% 4.13/4.32 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node10(s0)) | m_processor_v_cmd(c_p1, s0, c_write_h_resp_h_shared))),
% 4.13/4.32 inference(quant_inst,[status(thm)],[])).
% 4.13/4.32 tff(1156,plain,
% 4.13/4.32 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s0, c_write_h_resp_h_shared) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node10(s0))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1155, 1154])).
% 4.13/4.32 tff(1157,plain,
% 4.13/4.32 ($false),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[1156, 1150, 1097, 1038, 1140])).
% 4.13/4.32 tff(1158,plain,(m_processor_v_cmd(c_p1, s0, c_write_h_resp_h_shared) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node10(s0))), inference(lemma,lemma(discharge,[]))).
% 4.13/4.32 tff(1159,plain,
% 4.13/4.32 (m_processor_v_cmd(c_p1, s0, c_write_h_resp_h_shared)),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[1158, 1097, 1139])).
% 4.13/4.32 tff(1160,assumption,(m_processor_v_cmd(c_p1, s0, c_write_h_resp_h_shared)), introduced(assumption)).
% 4.13/4.32 tff(1161,plain,
% 4.13/4.32 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))))),
% 4.13/4.32 inference(bind,[status(th)],[])).
% 4.13/4.32 tff(1162,plain,
% 4.13/4.32 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 4.13/4.32 inference(quant_intro,[status(thm)],[1161])).
% 4.13/4.32 tff(1163,plain,
% 4.13/4.32 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 4.13/4.32 inference(rewrite,[status(thm)],[])).
% 4.13/4.32 tff(1164,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_14')).
% 4.13/4.32 tff(1165,plain,
% 4.13/4.32 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1164, 1163])).
% 4.13/4.32 tff(1166,plain,(
% 4.13/4.32 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 4.13/4.32 inference(skolemize,[status(sab)],[1165])).
% 4.13/4.32 tff(1167,plain,
% 4.13/4.32 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1166, 1162])).
% 4.13/4.32 tff(1168,plain,
% 4.13/4.32 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s0, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s0, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s0, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s0, c_write_h_resp_h_shared)))),
% 4.13/4.32 inference(rewrite,[status(thm)],[])).
% 4.13/4.32 tff(1169,plain,
% 4.13/4.32 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s0, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s0, c_write_h_resp_h_shared)))),
% 4.13/4.32 inference(quant_inst,[status(thm)],[])).
% 4.13/4.32 tff(1170,plain,
% 4.13/4.32 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s0, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s0, c_write_h_resp_h_shared))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1169, 1168])).
% 4.13/4.32 tff(1171,plain,
% 4.13/4.32 ($false),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[1170, 1167, 1039, 1160])).
% 4.13/4.32 tff(1172,plain,((~m_processor_v_cmd(c_p1, s0, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s0, c_write_h_resp_h_shared))), inference(lemma,lemma(discharge,[]))).
% 4.13/4.32 tff(1173,plain,
% 4.13/4.32 (~m_processor_v_cmd(c_p1, s0, c_read_h_shared)),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[1172, 1159])).
% 4.13/4.32 tff(1174,plain,
% 4.13/4.32 (m_processor_v_cmd(c_p1, s0, c_read_h_owned)),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[1036, 1173, 145])).
% 4.13/4.32 tff(1175,plain,
% 4.13/4.32 ($false),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[1015, 1012, 1174, 1002, 1139])).
% 4.13/4.32 tff(1176,plain,((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | m_main_v_CMD(s0, c_read_h_owned) | (~m_processor_v_master(c_p1, s0))), inference(lemma,lemma(discharge,[]))).
% 4.13/4.32 tff(1177,plain,
% 4.13/4.32 (~m_main_v_CMD(s0, c_write_h_resp_h_shared)),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[1176, 910, 143])).
% 4.13/4.32 tff(1178,plain,
% 4.13/4.32 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))) <=> ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))))),
% 4.13/4.32 inference(bind,[status(th)],[])).
% 4.13/4.32 tff(1179,plain,
% 4.13/4.32 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 4.13/4.32 inference(quant_intro,[status(thm)],[1178])).
% 4.13/4.32 tff(1180,plain,
% 4.13/4.32 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 4.13/4.32 inference(rewrite,[status(thm)],[])).
% 4.13/4.32 tff(1181,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_5')).
% 4.13/4.32 tff(1182,plain,
% 4.13/4.32 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1181, 1180])).
% 4.13/4.32 tff(1183,plain,(
% 4.13/4.32 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 4.13/4.32 inference(skolemize,[status(sab)],[1182])).
% 4.13/4.32 tff(1184,plain,
% 4.13/4.32 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1183, 1179])).
% 4.13/4.32 tff(1185,plain,
% 4.13/4.32 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_shared)))),
% 4.13/4.32 inference(rewrite,[status(thm)],[])).
% 4.13/4.32 tff(1186,plain,
% 4.13/4.32 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_shared)))),
% 4.13/4.32 inference(quant_inst,[status(thm)],[])).
% 4.13/4.32 tff(1187,plain,
% 4.13/4.32 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_shared))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1186, 1185])).
% 4.13/4.32 tff(1188,plain,
% 4.13/4.32 (~m_processor_v_cmd(c_p0, s0, c_write_h_shared)),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[1187, 1184, 890])).
% 4.13/4.32 tff(1189,plain,
% 4.13/4.32 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_shared)))),
% 4.13/4.32 inference(rewrite,[status(thm)],[])).
% 4.13/4.32 tff(1190,plain,
% 4.13/4.32 (((~m_main_v_CMD(s0, c_write_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_shared)) <=> (m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_shared)))),
% 4.13/4.32 inference(rewrite,[status(thm)],[])).
% 4.13/4.32 tff(1191,plain,
% 4.13/4.32 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_shared))))),
% 4.13/4.32 inference(monotonicity,[status(thm)],[1190])).
% 4.13/4.32 tff(1192,plain,
% 4.13/4.32 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_shared)))),
% 4.13/4.32 inference(transitivity,[status(thm)],[1191, 1189])).
% 4.13/4.32 tff(1193,plain,
% 4.13/4.32 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_shared))),
% 4.13/4.32 inference(quant_inst,[status(thm)],[])).
% 4.13/4.32 tff(1194,plain,
% 4.13/4.32 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_shared))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1193, 1192])).
% 4.13/4.32 tff(1195,plain,
% 4.13/4.32 ((~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_shared))),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[1194, 1069, 1188])).
% 4.13/4.32 tff(1196,plain,
% 4.13/4.32 (~m_main_v_CMD(s0, c_write_h_shared)),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[1195, 1048])).
% 4.13/4.32 tff(1197,assumption,(~m_processor_v_CMD(c_p1, s0, c_read_h_shared)), introduced(assumption)).
% 4.13/4.32 tff(1198,assumption,(m_processor_v_CMD(c_p1, s0, c_write_h_invalid)), introduced(assumption)).
% 4.13/4.32 tff(1199,plain,
% 4.13/4.32 (node34(c_p1, s0, s1)),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[648, 143, 85])).
% 4.13/4.32 tff(1200,plain,
% 4.13/4.32 (^[Y: $i, I0: $i, X: $i] : refl(((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) <=> ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))))),
% 4.13/4.32 inference(bind,[status(th)],[])).
% 4.13/4.32 tff(1201,plain,
% 4.13/4.32 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))),
% 4.13/4.32 inference(quant_intro,[status(thm)],[1200])).
% 4.13/4.32 tff(1202,plain,
% 4.13/4.32 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))),
% 4.13/4.32 inference(rewrite,[status(thm)],[])).
% 4.13/4.32 tff(1203,plain,
% 4.13/4.32 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))))), (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) | (~node34(I0, X, Y))) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) | (~node34(I0, X, Y))))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))), (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))))),
% 4.13/4.32 inference(bind,[status(th)],[])).
% 4.13/4.32 tff(1204,plain,
% 4.13/4.32 (![Y: $i, I0: $i, X: $i] : ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) | (~node34(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))),
% 4.13/4.32 inference(quant_intro,[status(thm)],[1203])).
% 4.13/4.32 tff(1205,axiom,(![Y: $i, I0: $i, X: $i] : ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) | (~node34(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_55')).
% 4.13/4.32 tff(1206,plain,
% 4.13/4.32 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1205, 1204])).
% 4.13/4.32 tff(1207,plain,
% 4.13/4.32 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1206, 1202])).
% 4.13/4.32 tff(1208,plain,(
% 4.13/4.32 ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))),
% 4.13/4.32 inference(skolemize,[status(sab)],[1207])).
% 4.13/4.32 tff(1209,plain,
% 4.13/4.32 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1208, 1201])).
% 4.13/4.32 tff(1210,plain,
% 4.13/4.32 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_state(c_p1, s1, c_invalid) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_state(c_p1, s1, c_invalid) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)))),
% 4.13/4.32 inference(rewrite,[status(thm)],[])).
% 4.13/4.32 tff(1211,plain,
% 4.13/4.32 (((~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_state(c_p1, s1, c_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid))) <=> (m_processor_v_state(c_p1, s1, c_invalid) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)))),
% 4.13/4.32 inference(rewrite,[status(thm)],[])).
% 4.13/4.32 tff(1212,plain,
% 4.13/4.32 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_state(c_p1, s1, c_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_state(c_p1, s1, c_invalid) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid))))),
% 4.13/4.32 inference(monotonicity,[status(thm)],[1211])).
% 4.13/4.32 tff(1213,plain,
% 4.13/4.32 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_state(c_p1, s1, c_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_state(c_p1, s1, c_invalid) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)))),
% 4.13/4.32 inference(transitivity,[status(thm)],[1212, 1210])).
% 4.13/4.32 tff(1214,plain,
% 4.13/4.32 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_state(c_p1, s1, c_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)))),
% 4.13/4.32 inference(quant_inst,[status(thm)],[])).
% 4.13/4.32 tff(1215,plain,
% 4.13/4.32 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_state(c_p1, s1, c_invalid) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid))),
% 4.13/4.32 inference(modus_ponens,[status(thm)],[1214, 1213])).
% 4.13/4.32 tff(1216,plain,
% 4.13/4.32 ($false),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[1215, 1209, 5, 1199, 1197, 891, 1198])).
% 4.13/4.32 tff(1217,plain,((~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 4.13/4.32 tff(1218,plain,
% 4.13/4.32 (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)),
% 4.13/4.32 inference(unit_resolution,[status(thm)],[1217, 1197, 5, 891])).
% 4.13/4.32 tff(1219,assumption,(~m_main_v_CMD(s0, c_write_h_resp_h_shared)), introduced(assumption)).
% 4.13/4.32 tff(1220,assumption,(~m_main_v_CMD(s0, c_write_h_resp_h_invalid)), introduced(assumption)).
% 4.13/4.32 tff(1221,assumption,(~m_main_v_CMD(s0, c_write_h_shared)), introduced(assumption)).
% 4.13/4.32 tff(1222,plain,
% 4.13/4.32 (^[V: $i, Y: $i, I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y))))),
% 4.13/4.32 inference(bind,[status(th)],[])).
% 4.13/4.32 tff(1223,plain,
% 4.13/4.32 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))),
% 4.13/4.33 inference(quant_intro,[status(thm)],[1222])).
% 4.13/4.33 tff(1224,plain,
% 4.13/4.33 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))),
% 4.13/4.33 inference(rewrite,[status(thm)],[])).
% 4.13/4.33 tff(1225,plain,
% 4.13/4.33 (^[V: $i, Y: $i, I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) <=> ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))), (((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node33(I0, X, Y))) <=> (((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y))))), rewrite((((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))), (((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node33(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))))),
% 4.13/4.33 inference(bind,[status(th)],[])).
% 4.13/4.33 tff(1226,plain,
% 4.13/4.33 (![V: $i, Y: $i, I0: $i, X: $i] : ((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node33(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))),
% 4.13/4.33 inference(quant_intro,[status(thm)],[1225])).
% 4.13/4.33 tff(1227,axiom,(![V: $i, Y: $i, I0: $i, X: $i] : ((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node33(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_51')).
% 4.13/4.33 tff(1228,plain,
% 4.13/4.33 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))),
% 4.13/4.33 inference(modus_ponens,[status(thm)],[1227, 1226])).
% 4.13/4.33 tff(1229,plain,
% 4.13/4.33 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))),
% 4.13/4.33 inference(modus_ponens,[status(thm)],[1228, 1224])).
% 4.13/4.33 tff(1230,plain,(
% 4.13/4.33 ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))),
% 4.13/4.33 inference(skolemize,[status(sab)],[1229])).
% 4.13/4.33 tff(1231,plain,
% 4.13/4.33 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))),
% 4.13/4.33 inference(modus_ponens,[status(thm)],[1230, 1223])).
% 4.13/4.33 tff(1232,plain,
% 4.13/4.33 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node33(c_p1, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node33(c_p1, s0, s1)))),
% 4.13/4.33 inference(rewrite,[status(thm)],[])).
% 4.13/4.33 tff(1233,plain,
% 4.13/4.33 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node33(c_p1, s0, s1)))),
% 4.13/4.33 inference(quant_inst,[status(thm)],[])).
% 4.13/4.33 tff(1234,plain,
% 4.13/4.33 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node33(c_p1, s0, s1))),
% 4.13/4.33 inference(modus_ponens,[status(thm)],[1233, 1232])).
% 4.13/4.33 tff(1235,plain,
% 4.13/4.33 (~node33(c_p1, s0, s1)),
% 4.13/4.33 inference(unit_resolution,[status(thm)],[1234, 1231, 18, 5])).
% 4.13/4.33 tff(1236,plain,
% 4.13/4.33 (node34(c_p1, s0, s1)),
% 4.13/4.33 inference(unit_resolution,[status(thm)],[648, 85, 143])).
% 4.13/4.33 tff(1237,plain,
% 4.13/4.33 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_write_h_resp_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_write_h_resp_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)))),
% 4.13/4.33 inference(rewrite,[status(thm)],[])).
% 4.13/4.33 tff(1238,plain,
% 4.13/4.33 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_write_h_resp_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)))),
% 4.13/4.33 inference(quant_inst,[status(thm)],[])).
% 4.13/4.33 tff(1239,plain,
% 4.13/4.33 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_write_h_resp_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))),
% 4.13/4.33 inference(modus_ponens,[status(thm)],[1238, 1237])).
% 4.13/4.33 tff(1240,plain,
% 4.13/4.33 (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)),
% 4.13/4.33 inference(unit_resolution,[status(thm)],[1239, 675, 665, 1219])).
% 4.13/4.33 tff(1241,plain,
% 4.13/4.33 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_write_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_write_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)))),
% 4.13/4.33 inference(rewrite,[status(thm)],[])).
% 4.13/4.33 tff(1242,plain,
% 4.13/4.33 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_write_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)))),
% 4.13/4.33 inference(quant_inst,[status(thm)],[])).
% 4.13/4.33 tff(1243,plain,
% 4.13/4.33 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_write_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared))),
% 4.13/4.33 inference(modus_ponens,[status(thm)],[1242, 1241])).
% 4.13/4.33 tff(1244,plain,
% 4.13/4.33 (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)),
% 4.13/4.33 inference(unit_resolution,[status(thm)],[1243, 675, 665, 1221])).
% 4.13/4.33 tff(1245,assumption,(~m_main_v_CMD(s0, c_write_h_invalid)), introduced(assumption)).
% 4.13/4.33 tff(1246,plain,
% 4.13/4.33 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_write_h_invalid) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_write_h_invalid) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)))),
% 4.13/4.33 inference(rewrite,[status(thm)],[])).
% 4.13/4.33 tff(1247,plain,
% 4.13/4.33 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_write_h_invalid) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)))),
% 4.13/4.33 inference(quant_inst,[status(thm)],[])).
% 4.13/4.33 tff(1248,plain,
% 4.13/4.33 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_write_h_invalid) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid))),
% 4.13/4.33 inference(modus_ponens,[status(thm)],[1247, 1246])).
% 4.13/4.33 tff(1249,plain,
% 4.13/4.33 (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)),
% 4.13/4.33 inference(unit_resolution,[status(thm)],[1248, 675, 665, 1245])).
% 4.13/4.33 tff(1250,plain,
% 4.13/4.33 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_write_h_resp_h_invalid) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_write_h_resp_h_invalid) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)))),
% 4.13/4.33 inference(rewrite,[status(thm)],[])).
% 4.13/4.33 tff(1251,plain,
% 4.13/4.33 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_write_h_resp_h_invalid) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)))),
% 4.13/4.33 inference(quant_inst,[status(thm)],[])).
% 4.13/4.33 tff(1252,plain,
% 4.13/4.33 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_write_h_resp_h_invalid) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid))),
% 4.13/4.33 inference(modus_ponens,[status(thm)],[1251, 1250])).
% 4.13/4.33 tff(1253,plain,
% 4.13/4.33 (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)),
% 4.13/4.33 inference(unit_resolution,[status(thm)],[1252, 675, 665, 1220])).
% 4.13/4.33 tff(1254,assumption,(node34(c_p1, s0, s1)), introduced(assumption)).
% 4.13/4.33 tff(1255,assumption,(~node33(c_p1, s0, s1)), introduced(assumption)).
% 4.13/4.33 tff(1256,plain,
% 4.13/4.33 (^[Y: $i, I0: $i, X: $i] : refl((node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) <=> (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 4.13/4.33 inference(bind,[status(th)],[])).
% 4.13/4.33 tff(1257,plain,
% 4.13/4.33 (![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) <=> ![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))),
% 4.13/4.33 inference(quant_intro,[status(thm)],[1256])).
% 4.13/4.33 tff(1258,plain,
% 4.13/4.33 (![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) <=> ![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))),
% 4.13/4.33 inference(rewrite,[status(thm)],[])).
% 4.13/4.33 tff(1259,plain,
% 4.13/4.33 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))), (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared))), (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared)))), ((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))), ((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))), (((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | node33(I0, X, Y)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | node33(I0, X, Y)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | node33(I0, X, Y)) <=> (node33(I0, X, Y) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))), (((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | node33(I0, X, Y)) <=> (node33(I0, X, Y) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))), ((((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | node33(I0, X, Y)) | (~node34(I0, X, Y))) <=> ((node33(I0, X, Y) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | (~node34(I0, X, Y))))), rewrite(((node33(I0, X, Y) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | (~node34(I0, X, Y))) <=> (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))), ((((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | node33(I0, X, Y)) | (~node34(I0, X, Y))) <=> (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))))),
% 4.13/4.33 inference(bind,[status(th)],[])).
% 4.13/4.33 tff(1260,plain,
% 4.13/4.33 (![Y: $i, I0: $i, X: $i] : (((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | node33(I0, X, Y)) | (~node34(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))),
% 4.13/4.33 inference(quant_intro,[status(thm)],[1259])).
% 4.13/4.33 tff(1261,axiom,(![Y: $i, I0: $i, X: $i] : (((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | node33(I0, X, Y)) | (~node34(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_59')).
% 4.13/4.33 tff(1262,plain,
% 4.13/4.33 (![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))),
% 4.13/4.33 inference(modus_ponens,[status(thm)],[1261, 1260])).
% 4.13/4.33 tff(1263,plain,
% 4.13/4.33 (![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))),
% 4.13/4.33 inference(modus_ponens,[status(thm)],[1262, 1258])).
% 4.13/4.33 tff(1264,plain,(
% 4.13/4.33 ![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))),
% 4.13/4.33 inference(skolemize,[status(sab)],[1263])).
% 4.13/4.33 tff(1265,plain,
% 4.13/4.33 (![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))),
% 4.13/4.33 inference(modus_ponens,[status(thm)],[1264, 1257])).
% 4.13/4.33 tff(1266,plain,
% 4.13/4.33 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s0, s1) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | node33(c_p1, s0, s1) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))),
% 4.13/4.33 inference(rewrite,[status(thm)],[])).
% 4.13/4.33 tff(1267,plain,
% 4.13/4.33 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s0, s1) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))),
% 4.13/4.33 inference(quant_inst,[status(thm)],[])).
% 4.13/4.33 tff(1268,plain,
% 4.13/4.33 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | node33(c_p1, s0, s1) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)),
% 4.13/4.33 inference(modus_ponens,[status(thm)],[1267, 1266])).
% 4.13/4.33 tff(1269,plain,
% 4.13/4.33 (m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)),
% 4.13/4.33 inference(unit_resolution,[status(thm)],[1268, 1265, 1255, 1197, 891, 1254])).
% 4.13/4.33 tff(1270,plain,
% 4.13/4.33 ($false),
% 4.13/4.33 inference(unit_resolution,[status(thm)],[1269, 1253, 1249, 1244, 1240])).
% 4.13/4.33 tff(1271,plain,((~node34(c_p1, s0, s1)) | node33(c_p1, s0, s1) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_main_v_CMD(s0, c_write_h_shared) | m_main_v_CMD(s0, c_write_h_resp_h_invalid) | m_main_v_CMD(s0, c_write_h_invalid) | m_main_v_CMD(s0, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.13/4.33 tff(1272,plain,
% 4.13/4.33 (m_main_v_CMD(s0, c_write_h_invalid)),
% 4.13/4.33 inference(unit_resolution,[status(thm)],[1271, 1197, 1236, 1235, 891, 1221, 1220, 1219])).
% 4.13/4.33 tff(1273,assumption,(~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)), introduced(assumption)).
% 4.13/4.33 tff(1274,assumption,(m_main_v_CMD(s0, c_write_h_invalid)), introduced(assumption)).
% 4.13/4.33 tff(1275,plain,
% 4.13/4.33 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~node3(s0)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s0, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~node3(s0)))),
% 4.13/4.33 inference(rewrite,[status(thm)],[])).
% 4.13/4.33 tff(1276,plain,
% 4.13/4.33 (((~m_main_v_CMD(s0, c_write_h_invalid)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid)) <=> ((~m_main_v_CMD(s0, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~node3(s0)))),
% 4.13/4.33 inference(rewrite,[status(thm)],[])).
% 4.13/4.33 tff(1277,plain,
% 4.13/4.33 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_invalid)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~node3(s0))))),
% 4.13/4.33 inference(monotonicity,[status(thm)],[1276])).
% 4.13/4.33 tff(1278,plain,
% 4.13/4.33 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_invalid)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s0, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~node3(s0)))),
% 4.13/4.33 inference(transitivity,[status(thm)],[1277, 1275])).
% 4.13/4.33 tff(1279,plain,
% 4.13/4.33 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_invalid)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid))),
% 4.13/4.33 inference(quant_inst,[status(thm)],[])).
% 4.13/4.33 tff(1280,plain,
% 4.13/4.33 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s0, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~node3(s0))),
% 4.13/4.33 inference(modus_ponens,[status(thm)],[1279, 1278])).
% 4.13/4.33 tff(1281,plain,
% 4.13/4.33 ($false),
% 4.13/4.33 inference(unit_resolution,[status(thm)],[1280, 901, 665, 1274, 1273])).
% 4.13/4.33 tff(1282,plain,((~m_main_v_CMD(s0, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.13/4.33 tff(1283,plain,
% 4.13/4.33 ($false),
% 4.13/4.33 inference(unit_resolution,[status(thm)],[1282, 1272, 1218])).
% 4.13/4.33 tff(1284,plain,(m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_main_v_CMD(s0, c_write_h_shared) | m_main_v_CMD(s0, c_write_h_resp_h_invalid) | m_main_v_CMD(s0, c_write_h_resp_h_shared) | m_processor_v_state(c_p1, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.13/4.33 tff(1285,plain,
% 4.13/4.33 (m_processor_v_CMD(c_p1, s0, c_read_h_shared)),
% 4.13/4.33 inference(unit_resolution,[status(thm)],[1284, 1196, 1177, 1077, 891, 5])).
% 4.13/4.33 tff(1286,plain,
% 4.13/4.33 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared))) <=> ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared))))),
% 4.13/4.33 inference(bind,[status(th)],[])).
% 4.13/4.33 tff(1287,plain,
% 4.13/4.33 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))),
% 4.13/4.33 inference(quant_intro,[status(thm)],[1286])).
% 4.13/4.33 tff(1288,plain,
% 4.13/4.33 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))),
% 4.13/4.33 inference(rewrite,[status(thm)],[])).
% 4.13/4.33 tff(1289,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_2')).
% 4.13/4.33 tff(1290,plain,
% 4.13/4.33 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))),
% 4.13/4.33 inference(modus_ponens,[status(thm)],[1289, 1288])).
% 4.13/4.33 tff(1291,plain,(
% 4.13/4.33 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))),
% 4.13/4.33 inference(skolemize,[status(sab)],[1290])).
% 4.13/4.33 tff(1292,plain,
% 4.13/4.33 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))),
% 4.13/4.33 inference(modus_ponens,[status(thm)],[1291, 1287])).
% 4.13/4.33 tff(1293,plain,
% 4.13/4.33 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)))),
% 4.13/4.33 inference(rewrite,[status(thm)],[])).
% 4.13/4.33 tff(1294,plain,
% 4.13/4.33 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)))),
% 4.13/4.33 inference(quant_inst,[status(thm)],[])).
% 4.13/4.33 tff(1295,plain,
% 4.13/4.33 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared))),
% 4.13/4.33 inference(modus_ponens,[status(thm)],[1294, 1293])).
% 4.13/4.33 tff(1296,plain,
% 4.13/4.33 (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)),
% 4.13/4.33 inference(unit_resolution,[status(thm)],[1295, 1292, 890])).
% 4.13/4.33 tff(1297,plain,
% 4.13/4.33 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_shared)))),
% 4.13/4.33 inference(rewrite,[status(thm)],[])).
% 4.13/4.33 tff(1298,plain,
% 4.13/4.33 (((~m_main_v_CMD(s0, c_read_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_read_h_shared)) <=> (m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_shared)))),
% 4.13/4.33 inference(rewrite,[status(thm)],[])).
% 4.13/4.33 tff(1299,plain,
% 4.13/4.33 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_read_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_shared))))),
% 4.13/4.33 inference(monotonicity,[status(thm)],[1298])).
% 4.13/4.33 tff(1300,plain,
% 4.13/4.33 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_read_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_shared)))),
% 4.13/4.33 inference(transitivity,[status(thm)],[1299, 1297])).
% 4.13/4.33 tff(1301,plain,
% 4.13/4.33 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_read_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_read_h_shared))),
% 4.13/4.33 inference(quant_inst,[status(thm)],[])).
% 4.13/4.33 tff(1302,plain,
% 4.13/4.33 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_shared))),
% 4.13/4.33 inference(modus_ponens,[status(thm)],[1301, 1300])).
% 4.13/4.33 tff(1303,plain,
% 4.13/4.33 ((~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_shared))),
% 4.13/4.33 inference(unit_resolution,[status(thm)],[1302, 1069, 1296])).
% 4.13/4.33 tff(1304,plain,
% 4.13/4.33 (~m_main_v_CMD(s0, c_read_h_shared)),
% 4.13/4.33 inference(unit_resolution,[status(thm)],[1303, 1048])).
% 4.13/4.33 tff(1305,plain,
% 4.13/4.33 ($false),
% 4.13/4.33 inference(unit_resolution,[status(thm)],[681, 675, 665, 1304, 1285])).
% 4.13/4.33 tff(1306,plain,((~node8(s0)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_state(c_p1, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.13/4.33 tff(1307,plain,
% 4.13/4.33 (~node8(s0)),
% 4.13/4.33 inference(unit_resolution,[status(thm)],[1306, 891, 5])).
% 4.13/4.33 tff(1308,plain,
% 4.13/4.33 ((~m_processor_v_cmd(c_p1, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | node8(s0)),
% 4.13/4.33 inference(unit_resolution,[status(thm)],[1135, 954])).
% 4.13/4.33 tff(1309,plain,
% 4.13/4.33 (~m_processor_v_cmd(c_p1, s0, c_idle)),
% 4.13/4.33 inference(unit_resolution,[status(thm)],[1308, 1307, 807])).
% 4.13/4.33 tff(1310,plain,
% 4.13/4.33 ($false),
% 4.13/4.33 inference(unit_resolution,[status(thm)],[979, 976, 1309, 1047])).
% 4.13/4.33 tff(1311,plain,(m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_main_v_CMD(s0, c_read_h_shared) | m_processor_v_state(c_p1, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.13/4.34 tff(1312,plain,
% 4.13/4.34 (m_processor_v_CMD(c_p1, s0, c_read_h_owned)),
% 4.13/4.34 inference(unit_resolution,[status(thm)],[1311, 653, 5])).
% 4.13/4.34 tff(1313,assumption,(m_processor_v_CMD(c_p1, s0, c_read_h_owned)), introduced(assumption)).
% 4.13/4.34 tff(1314,plain,
% 4.13/4.34 (^[Y: $i, I0: $i, X: $i] : refl(((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) <=> ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned))))),
% 4.13/4.34 inference(bind,[status(th)],[])).
% 4.13/4.34 tff(1315,plain,
% 4.13/4.34 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))),
% 4.13/4.34 inference(quant_intro,[status(thm)],[1314])).
% 4.13/4.34 tff(1316,plain,
% 4.13/4.34 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))),
% 4.13/4.34 inference(rewrite,[status(thm)],[])).
% 4.13/4.34 tff(1317,plain,
% 4.13/4.34 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_processor_v_CMD(I0, X, c_read_h_shared) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_state(I0, Y, c_owned)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_state(I0, Y, c_owned)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_state(I0, Y, c_owned)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_state(I0, Y, c_owned)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned))))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_state(I0, Y, c_owned)) | (~node34(I0, X, Y))) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | (~node34(I0, X, Y))))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_state(I0, Y, c_owned)) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))))),
% 4.13/4.34 inference(bind,[status(th)],[])).
% 4.13/4.34 tff(1318,plain,
% 4.13/4.34 (![Y: $i, I0: $i, X: $i] : (((m_processor_v_CMD(I0, X, c_read_h_shared) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_state(I0, Y, c_owned)) | (~node34(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))),
% 4.13/4.34 inference(quant_intro,[status(thm)],[1317])).
% 4.13/4.34 tff(1319,axiom,(![Y: $i, I0: $i, X: $i] : (((m_processor_v_CMD(I0, X, c_read_h_shared) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_state(I0, Y, c_owned)) | (~node34(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_54')).
% 4.13/4.34 tff(1320,plain,
% 4.13/4.34 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))),
% 4.13/4.34 inference(modus_ponens,[status(thm)],[1319, 1318])).
% 4.13/4.34 tff(1321,plain,
% 4.13/4.34 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))),
% 4.13/4.34 inference(modus_ponens,[status(thm)],[1320, 1316])).
% 4.13/4.34 tff(1322,plain,(
% 4.13/4.34 ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))),
% 4.13/4.34 inference(skolemize,[status(sab)],[1321])).
% 4.13/4.34 tff(1323,plain,
% 4.13/4.34 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))),
% 4.13/4.34 inference(modus_ponens,[status(thm)],[1322, 1315])).
% 4.13/4.34 tff(1324,plain,
% 4.13/4.34 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_state(c_p1, s1, c_owned) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_state(c_p1, s1, c_owned) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)))),
% 4.13/4.34 inference(rewrite,[status(thm)],[])).
% 4.13/4.34 tff(1325,plain,
% 4.13/4.34 (((~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_state(c_p1, s1, c_owned) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned))) <=> (m_processor_v_state(c_p1, s1, c_owned) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)))),
% 4.13/4.34 inference(rewrite,[status(thm)],[])).
% 4.13/4.34 tff(1326,plain,
% 4.13/4.34 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_state(c_p1, s1, c_owned) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_state(c_p1, s1, c_owned) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned))))),
% 4.13/4.34 inference(monotonicity,[status(thm)],[1325])).
% 4.13/4.34 tff(1327,plain,
% 4.13/4.34 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_state(c_p1, s1, c_owned) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_state(c_p1, s1, c_owned) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)))),
% 4.13/4.34 inference(transitivity,[status(thm)],[1326, 1324])).
% 4.13/4.34 tff(1328,plain,
% 4.13/4.34 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_state(c_p1, s1, c_owned) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)))),
% 4.13/4.34 inference(quant_inst,[status(thm)],[])).
% 4.13/4.34 tff(1329,plain,
% 4.13/4.34 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_state(c_p1, s1, c_owned) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned))),
% 4.13/4.34 inference(modus_ponens,[status(thm)],[1328, 1327])).
% 4.13/4.34 tff(1330,plain,
% 4.13/4.34 ($false),
% 4.13/4.34 inference(unit_resolution,[status(thm)],[1329, 1323, 629, 1254, 1197, 1313])).
% 4.13/4.34 tff(1331,plain,(m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_state(c_p1, s1, c_owned) | (~node34(c_p1, s0, s1)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.13/4.34 tff(1332,plain,
% 4.13/4.34 ($false),
% 4.13/4.34 inference(unit_resolution,[status(thm)],[1331, 1312, 684, 652, 629])).
% 4.13/4.34 tff(1333,plain,(m_main_v_CMD(s0, c_read_h_shared) | m_processor_v_state(c_p1, s1, c_owned) | m_processor_v_state(c_p1, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.13/4.34 tff(1334,plain,
% 4.13/4.34 (m_main_v_CMD(s0, c_read_h_shared)),
% 4.13/4.34 inference(unit_resolution,[status(thm)],[1333, 5, 629])).
% 4.13/4.34 tff(1335,assumption,(~m_memory_v_CMD(c_m, s0, c_read_h_shared)), introduced(assumption)).
% 4.13/4.34 tff(1336,assumption,(m_main_v_CMD(s0, c_read_h_shared)), introduced(assumption)).
% 4.13/4.34 tff(1337,plain,
% 4.13/4.34 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s0)) | (~m_main_v_CMD(s0, c_read_h_shared)) | m_memory_v_CMD(c_m, s0, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s0)) | (~m_main_v_CMD(s0, c_read_h_shared)) | m_memory_v_CMD(c_m, s0, c_read_h_shared))),
% 4.13/4.34 inference(rewrite,[status(thm)],[])).
% 4.13/4.34 tff(1338,plain,
% 4.13/4.34 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s0)) | (~m_main_v_CMD(s0, c_read_h_shared)) | m_memory_v_CMD(c_m, s0, c_read_h_shared))),
% 4.13/4.34 inference(quant_inst,[status(thm)],[])).
% 4.13/4.34 tff(1339,plain,
% 4.13/4.34 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s0)) | (~m_main_v_CMD(s0, c_read_h_shared)) | m_memory_v_CMD(c_m, s0, c_read_h_shared)),
% 4.13/4.34 inference(modus_ponens,[status(thm)],[1338, 1337])).
% 4.13/4.34 tff(1340,plain,
% 4.13/4.34 ($false),
% 4.13/4.34 inference(unit_resolution,[status(thm)],[1339, 622, 612, 1336, 1335])).
% 4.13/4.34 tff(1341,plain,(m_memory_v_CMD(c_m, s0, c_read_h_shared) | (~m_main_v_CMD(s0, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 4.13/4.34 tff(1342,plain,
% 4.13/4.34 (m_memory_v_CMD(c_m, s0, c_read_h_shared)),
% 4.13/4.34 inference(unit_resolution,[status(thm)],[1341, 1334])).
% 4.13/4.34 tff(1343,assumption,(m_memory_v_CMD(c_m, s0, c_read_h_shared)), introduced(assumption)).
% 4.13/4.34 tff(1344,plain,
% 4.13/4.34 (^[I0: $i, X: $i] : refl(((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared))) <=> ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared))))),
% 4.13/4.34 inference(bind,[status(th)],[])).
% 4.13/4.34 tff(1345,plain,
% 4.13/4.34 (![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared))) <=> ![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))),
% 4.13/4.34 inference(quant_intro,[status(thm)],[1344])).
% 4.13/4.34 tff(1346,plain,
% 4.13/4.34 (![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared))) <=> ![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))),
% 4.13/4.34 inference(rewrite,[status(thm)],[])).
% 4.13/4.34 tff(1347,plain,
% 4.13/4.34 (^[I0: $i, X: $i] : rewrite(((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node20(I0, X))) <=> ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared))))),
% 4.13/4.34 inference(bind,[status(th)],[])).
% 4.13/4.34 tff(1348,plain,
% 4.13/4.34 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node20(I0, X))) <=> ![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))),
% 4.13/4.34 inference(quant_intro,[status(thm)],[1347])).
% 4.13/4.34 tff(1349,axiom,(![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node20(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_44')).
% 4.13/4.34 tff(1350,plain,
% 4.13/4.34 (![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))),
% 4.13/4.34 inference(modus_ponens,[status(thm)],[1349, 1348])).
% 4.13/4.34 tff(1351,plain,
% 4.13/4.34 (![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))),
% 4.13/4.34 inference(modus_ponens,[status(thm)],[1350, 1346])).
% 4.13/4.34 tff(1352,plain,(
% 4.13/4.34 ![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))),
% 4.13/4.34 inference(skolemize,[status(sab)],[1351])).
% 4.13/4.34 tff(1353,plain,
% 4.13/4.34 (![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))),
% 4.13/4.34 inference(modus_ponens,[status(thm)],[1352, 1345])).
% 4.13/4.34 tff(1354,plain,
% 4.13/4.34 (((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | ((~node20(c_m, s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | (~node20(c_m, s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_shared)))),
% 4.13/4.34 inference(rewrite,[status(thm)],[])).
% 4.13/4.34 tff(1355,plain,
% 4.13/4.34 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | ((~node20(c_m, s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_shared)))),
% 4.13/4.34 inference(quant_inst,[status(thm)],[])).
% 4.13/4.34 tff(1356,plain,
% 4.13/4.34 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | (~node20(c_m, s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_shared))),
% 4.13/4.34 inference(modus_ponens,[status(thm)],[1355, 1354])).
% 4.13/4.34 tff(1357,plain,
% 4.13/4.34 ($false),
% 4.13/4.34 inference(unit_resolution,[status(thm)],[1356, 1353, 1343, 582])).
% 4.13/4.34 tff(1358,plain,((~node20(c_m, s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 4.13/4.34 tff(1359,plain,
% 4.13/4.34 (~node20(c_m, s0)),
% 4.13/4.34 inference(unit_resolution,[status(thm)],[1358, 1342])).
% 4.13/4.34 tff(1360,plain,
% 4.13/4.34 (m_memory_v_abort(c_m, s0)),
% 4.13/4.34 inference(unit_resolution,[status(thm)],[219, 173, 4, 1359])).
% 4.13/4.34 tff(1361,plain,
% 4.13/4.34 (m_memory_v_REPLY_h_STALL(c_m, s0)),
% 4.13/4.34 inference(unit_resolution,[status(thm)],[481, 1360])).
% 4.13/4.34 tff(1362,plain,
% 4.13/4.34 ($false),
% 4.13/4.34 inference(unit_resolution,[status(thm)],[578, 561, 1361])).
% 4.13/4.34 tff(1363,plain,(m_processor_v_state(c_p1, s1, c_invalid) | m_memory_v_busy(c_m, s1) | m_processor_v_state(c_p1, s1, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.13/4.34 tff(1364,plain,
% 4.13/4.34 (m_processor_v_state(c_p1, s1, c_owned)),
% 4.13/4.34 inference(unit_resolution,[status(thm)],[1363, 5, 4])).
% 4.13/4.34 tff(1365,assumption,(m_processor_v_state(c_p1, s1, c_shared)), introduced(assumption)).
% 4.13/4.34 tff(1366,assumption,(m_processor_v_state(c_p1, s1, c_owned)), introduced(assumption)).
% 4.13/4.34 tff(1367,plain,
% 4.13/4.34 (^[I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned))))),
% 4.13/4.34 inference(bind,[status(th)],[])).
% 4.13/4.34 tff(1368,plain,
% 4.13/4.34 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned))) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))),
% 4.13/4.34 inference(quant_intro,[status(thm)],[1367])).
% 4.13/4.34 tff(1369,plain,
% 4.13/4.34 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned))) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))),
% 4.13/4.34 inference(rewrite,[status(thm)],[])).
% 4.13/4.34 tff(1370,axiom,(![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_45')).
% 4.13/4.34 tff(1371,plain,
% 4.13/4.34 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))),
% 4.13/4.34 inference(modus_ponens,[status(thm)],[1370, 1369])).
% 4.13/4.34 tff(1372,plain,(
% 4.13/4.34 ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))),
% 4.13/4.34 inference(skolemize,[status(sab)],[1371])).
% 4.13/4.34 tff(1373,plain,
% 4.13/4.34 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))),
% 4.13/4.34 inference(modus_ponens,[status(thm)],[1372, 1368])).
% 4.13/4.34 tff(1374,plain,
% 4.13/4.34 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_state(c_p1, s1, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_state(c_p1, s1, c_shared)))),
% 4.13/4.34 inference(rewrite,[status(thm)],[])).
% 4.13/4.34 tff(1375,plain,
% 4.13/4.34 (((~m_processor_v_state(c_p1, s1, c_shared)) | (~m_processor_v_state(c_p1, s1, c_owned))) <=> ((~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_state(c_p1, s1, c_shared)))),
% 4.13/4.34 inference(rewrite,[status(thm)],[])).
% 4.13/4.34 tff(1376,plain,
% 4.13/4.34 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s1, c_shared)) | (~m_processor_v_state(c_p1, s1, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_state(c_p1, s1, c_shared))))),
% 4.13/4.34 inference(monotonicity,[status(thm)],[1375])).
% 4.13/4.34 tff(1377,plain,
% 4.13/4.34 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s1, c_shared)) | (~m_processor_v_state(c_p1, s1, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_state(c_p1, s1, c_shared)))),
% 4.13/4.34 inference(transitivity,[status(thm)],[1376, 1374])).
% 4.13/4.34 tff(1378,plain,
% 4.13/4.34 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s1, c_shared)) | (~m_processor_v_state(c_p1, s1, c_owned)))),
% 4.13/4.34 inference(quant_inst,[status(thm)],[])).
% 4.13/4.34 tff(1379,plain,
% 4.13/4.34 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_state(c_p1, s1, c_shared))),
% 4.13/4.34 inference(modus_ponens,[status(thm)],[1378, 1377])).
% 4.13/4.34 tff(1380,plain,
% 4.13/4.34 ($false),
% 4.13/4.34 inference(unit_resolution,[status(thm)],[1379, 1373, 1366, 1365])).
% 4.13/4.34 tff(1381,plain,((~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_state(c_p1, s1, c_shared))), inference(lemma,lemma(discharge,[]))).
% 4.13/4.34 tff(1382,plain,
% 4.13/4.34 (~m_processor_v_state(c_p1, s1, c_shared)),
% 4.13/4.34 inference(unit_resolution,[status(thm)],[1381, 1364])).
% 4.13/4.34 tff(1383,assumption,(~m_processor_v_state(c_p1, s1, c_shared)), introduced(assumption)).
% 4.13/4.34 tff(1384,plain,
% 4.13/4.34 (^[Y: $i, I0: $i, X: $i] : refl(((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared))))),
% 4.13/4.34 inference(bind,[status(th)],[])).
% 4.13/4.34 tff(1385,plain,
% 4.13/4.34 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))),
% 4.13/4.34 inference(quant_intro,[status(thm)],[1384])).
% 4.13/4.34 tff(1386,plain,
% 4.13/4.34 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))),
% 4.13/4.34 inference(rewrite,[status(thm)],[])).
% 4.13/4.34 tff(1387,plain,
% 4.13/4.34 (^[Y: $i, I0: $i, X: $i] : rewrite((((~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared))))),
% 4.13/4.34 inference(bind,[status(th)],[])).
% 4.13/4.34 tff(1388,plain,
% 4.13/4.34 (![Y: $i, I0: $i, X: $i] : (((~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))),
% 4.13/4.34 inference(quant_intro,[status(thm)],[1387])).
% 4.13/4.34 tff(1389,axiom,(![Y: $i, I0: $i, X: $i] : (((~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_53')).
% 4.13/4.34 tff(1390,plain,
% 4.13/4.34 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))),
% 4.13/4.34 inference(modus_ponens,[status(thm)],[1389, 1388])).
% 4.13/4.34 tff(1391,plain,
% 4.13/4.34 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))),
% 4.13/4.34 inference(modus_ponens,[status(thm)],[1390, 1386])).
% 4.13/4.34 tff(1392,plain,(
% 4.13/4.34 ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))),
% 4.13/4.34 inference(skolemize,[status(sab)],[1391])).
% 4.13/4.34 tff(1393,plain,
% 4.13/4.34 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))),
% 4.13/4.34 inference(modus_ponens,[status(thm)],[1392, 1385])).
% 4.13/4.34 tff(1394,plain,
% 4.13/4.34 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node34(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node34(c_p1, s0, s1)))),
% 4.13/4.34 inference(rewrite,[status(thm)],[])).
% 4.13/4.34 tff(1395,plain,
% 4.13/4.34 (((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared))) <=> (m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node34(c_p1, s0, s1)))),
% 4.13/4.34 inference(rewrite,[status(thm)],[])).
% 4.13/4.34 tff(1396,plain,
% 4.13/4.34 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node34(c_p1, s0, s1))))),
% 4.13/4.34 inference(monotonicity,[status(thm)],[1395])).
% 4.13/4.34 tff(1397,plain,
% 4.13/4.34 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node34(c_p1, s0, s1)))),
% 4.13/4.34 inference(transitivity,[status(thm)],[1396, 1394])).
% 4.13/4.34 tff(1398,plain,
% 4.13/4.34 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)))),
% 4.13/4.34 inference(quant_inst,[status(thm)],[])).
% 4.13/4.34 tff(1399,plain,
% 4.13/4.34 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node34(c_p1, s0, s1))),
% 4.13/4.34 inference(modus_ponens,[status(thm)],[1398, 1397])).
% 4.13/4.34 tff(1400,plain,
% 4.13/4.34 ($false),
% 4.13/4.34 inference(unit_resolution,[status(thm)],[1399, 1393, 1383, 1254, 654])).
% 4.13/4.34 tff(1401,plain,((~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | m_processor_v_state(c_p1, s1, c_shared) | (~node34(c_p1, s0, s1))), inference(lemma,lemma(discharge,[]))).
% 4.13/4.34 tff(1402,plain,
% 4.13/4.34 (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)),
% 4.13/4.34 inference(unit_resolution,[status(thm)],[1401, 1199, 1383])).
% 4.13/4.34 tff(1403,plain,
% 4.13/4.34 (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)),
% 4.13/4.34 inference(unit_resolution,[status(thm)],[1217, 891, 1402, 5])).
% 4.13/4.34 tff(1404,assumption,(m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)), introduced(assumption)).
% 4.13/4.34 tff(1405,plain,
% 4.13/4.34 (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)),
% 4.13/4.34 inference(unit_resolution,[status(thm)],[1217, 891, 1197, 5])).
% 4.13/4.34 tff(1406,plain,
% 4.13/4.34 (^[Y: $i, I0: $i, X: $i] : refl(((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))))),
% 4.13/4.34 inference(bind,[status(th)],[])).
% 4.13/4.34 tff(1407,plain,
% 4.13/4.34 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 4.13/4.34 inference(quant_intro,[status(thm)],[1406])).
% 4.13/4.34 tff(1408,plain,
% 4.13/4.34 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 4.13/4.34 inference(rewrite,[status(thm)],[])).
% 4.13/4.34 tff(1409,plain,
% 4.13/4.34 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))))), (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))), (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))))), ((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) | (~node34(I0, X, Y))) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | (~node34(I0, X, Y))))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))), ((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))))),
% 4.13/4.34 inference(bind,[status(th)],[])).
% 4.13/4.34 tff(1410,plain,
% 4.13/4.34 (![Y: $i, I0: $i, X: $i] : (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) | (~node34(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 4.13/4.34 inference(quant_intro,[status(thm)],[1409])).
% 4.13/4.34 tff(1411,axiom,(![Y: $i, I0: $i, X: $i] : (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) | (~node34(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_56')).
% 4.13/4.34 tff(1412,plain,
% 4.13/4.34 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 4.13/4.34 inference(modus_ponens,[status(thm)],[1411, 1410])).
% 4.13/4.34 tff(1413,plain,
% 4.13/4.34 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 4.13/4.34 inference(modus_ponens,[status(thm)],[1412, 1408])).
% 4.13/4.34 tff(1414,plain,(
% 4.13/4.34 ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 4.13/4.34 inference(skolemize,[status(sab)],[1413])).
% 4.13/4.34 tff(1415,plain,
% 4.13/4.34 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 4.13/4.34 inference(modus_ponens,[status(thm)],[1414, 1407])).
% 4.13/4.34 tff(1416,plain,
% 4.13/4.34 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_state(c_p1, s1, c_invalid) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_state(c_p1, s1, c_invalid) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)))),
% 4.13/4.34 inference(rewrite,[status(thm)],[])).
% 4.13/4.34 tff(1417,plain,
% 4.13/4.34 (((~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid))) <=> (m_processor_v_state(c_p1, s1, c_invalid) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)))),
% 4.13/4.35 inference(rewrite,[status(thm)],[])).
% 4.13/4.35 tff(1418,plain,
% 4.13/4.35 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_state(c_p1, s1, c_invalid) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid))))),
% 4.13/4.35 inference(monotonicity,[status(thm)],[1417])).
% 4.13/4.35 tff(1419,plain,
% 4.13/4.35 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_state(c_p1, s1, c_invalid) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)))),
% 4.13/4.35 inference(transitivity,[status(thm)],[1418, 1416])).
% 4.13/4.35 tff(1420,plain,
% 4.13/4.35 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)))),
% 4.13/4.35 inference(quant_inst,[status(thm)],[])).
% 4.13/4.35 tff(1421,plain,
% 4.13/4.35 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_state(c_p1, s1, c_invalid) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid))),
% 4.13/4.35 inference(modus_ponens,[status(thm)],[1420, 1419])).
% 4.13/4.35 tff(1422,plain,
% 4.13/4.35 ($false),
% 4.13/4.35 inference(unit_resolution,[status(thm)],[1421, 1415, 5, 1199, 1197, 891, 1405, 1404])).
% 4.13/4.35 tff(1423,plain,((~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 4.13/4.35 tff(1424,plain,
% 4.13/4.35 (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)),
% 4.13/4.35 inference(unit_resolution,[status(thm)],[1423, 891, 1402, 5])).
% 4.13/4.35 tff(1425,assumption,(~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)), introduced(assumption)).
% 4.13/4.35 tff(1426,assumption,(m_main_v_CMD(s0, c_write_h_shared)), introduced(assumption)).
% 4.13/4.35 tff(1427,plain,
% 4.13/4.35 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~node3(s0)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s0, c_write_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~node3(s0)))),
% 4.13/4.35 inference(rewrite,[status(thm)],[])).
% 4.13/4.35 tff(1428,plain,
% 4.13/4.35 (((~m_main_v_CMD(s0, c_write_h_shared)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_shared)) <=> ((~m_main_v_CMD(s0, c_write_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~node3(s0)))),
% 4.13/4.35 inference(rewrite,[status(thm)],[])).
% 4.13/4.35 tff(1429,plain,
% 4.13/4.35 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_shared)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~node3(s0))))),
% 4.13/4.35 inference(monotonicity,[status(thm)],[1428])).
% 4.13/4.35 tff(1430,plain,
% 4.13/4.35 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_shared)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s0, c_write_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~node3(s0)))),
% 4.13/4.35 inference(transitivity,[status(thm)],[1429, 1427])).
% 4.13/4.35 tff(1431,plain,
% 4.13/4.35 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_shared)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_shared))),
% 4.13/4.35 inference(quant_inst,[status(thm)],[])).
% 4.13/4.35 tff(1432,plain,
% 4.13/4.35 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s0, c_write_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~node3(s0))),
% 4.13/4.35 inference(modus_ponens,[status(thm)],[1431, 1430])).
% 4.13/4.35 tff(1433,plain,
% 4.13/4.35 (m_processor_v_CMD(c_p1, s0, c_write_h_shared)),
% 4.13/4.35 inference(unit_resolution,[status(thm)],[1432, 901, 665, 1426])).
% 4.13/4.35 tff(1434,plain,
% 4.13/4.35 (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)),
% 4.13/4.35 inference(unit_resolution,[status(thm)],[1401, 1254, 1383])).
% 4.13/4.35 tff(1435,plain,
% 4.13/4.35 (^[Y: $i, I0: $i, X: $i] : refl(((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) <=> ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared))))),
% 4.13/4.35 inference(bind,[status(th)],[])).
% 4.13/4.35 tff(1436,plain,
% 4.13/4.35 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))),
% 4.13/4.35 inference(quant_intro,[status(thm)],[1435])).
% 4.13/4.35 tff(1437,plain,
% 4.13/4.35 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))),
% 4.13/4.35 inference(rewrite,[status(thm)],[])).
% 4.13/4.35 tff(1438,plain,
% 4.13/4.35 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))), (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_shared))))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))), (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared))))), ((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) | m_processor_v_state(I0, Y, c_shared)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) | m_processor_v_state(I0, Y, c_shared)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) | m_processor_v_state(I0, Y, c_shared)) <=> (m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))), ((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) | m_processor_v_state(I0, Y, c_shared)) <=> (m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared))))), (((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y))) <=> ((m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) | (~node34(I0, X, Y))))), rewrite(((m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))), (((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))))),
% 4.13/4.35 inference(bind,[status(th)],[])).
% 4.13/4.35 tff(1439,plain,
% 4.13/4.35 (![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))),
% 4.13/4.35 inference(quant_intro,[status(thm)],[1438])).
% 4.13/4.35 tff(1440,axiom,(![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_57')).
% 4.13/4.35 tff(1441,plain,
% 4.13/4.35 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))),
% 4.13/4.35 inference(modus_ponens,[status(thm)],[1440, 1439])).
% 4.13/4.35 tff(1442,plain,
% 4.13/4.35 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))),
% 4.13/4.35 inference(modus_ponens,[status(thm)],[1441, 1437])).
% 4.13/4.35 tff(1443,plain,(
% 4.13/4.35 ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))),
% 4.13/4.35 inference(skolemize,[status(sab)],[1442])).
% 4.13/4.35 tff(1444,plain,
% 4.13/4.35 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))),
% 4.13/4.35 inference(modus_ponens,[status(thm)],[1443, 1436])).
% 4.13/4.35 tff(1445,plain,
% 4.13/4.35 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_state(c_p1, s1, c_shared) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)))),
% 4.13/4.35 inference(rewrite,[status(thm)],[])).
% 4.13/4.35 tff(1446,plain,
% 4.13/4.35 (((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared))) <=> (m_processor_v_state(c_p1, s1, c_shared) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)))),
% 4.13/4.35 inference(rewrite,[status(thm)],[])).
% 4.13/4.35 tff(1447,plain,
% 4.13/4.35 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared))))),
% 4.13/4.35 inference(monotonicity,[status(thm)],[1446])).
% 4.13/4.35 tff(1448,plain,
% 4.13/4.35 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_state(c_p1, s1, c_shared) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)))),
% 4.13/4.35 inference(transitivity,[status(thm)],[1447, 1445])).
% 4.13/4.35 tff(1449,plain,
% 4.13/4.35 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)))),
% 4.13/4.35 inference(quant_inst,[status(thm)],[])).
% 4.13/4.35 tff(1450,plain,
% 4.13/4.35 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_state(c_p1, s1, c_shared) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared))),
% 4.13/4.35 inference(modus_ponens,[status(thm)],[1449, 1448])).
% 4.13/4.35 tff(1451,plain,
% 4.13/4.35 (m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared))),
% 4.13/4.35 inference(unit_resolution,[status(thm)],[1450, 1444, 1383, 1254, 1434, 891, 1273])).
% 4.13/4.35 tff(1452,plain,
% 4.13/4.35 ($false),
% 4.13/4.35 inference(unit_resolution,[status(thm)],[1451, 1433, 1425])).
% 4.13/4.35 tff(1453,plain,(m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s1, c_shared) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~m_main_v_CMD(s0, c_write_h_shared))), inference(lemma,lemma(discharge,[]))).
% 4.13/4.35 tff(1454,plain,
% 4.13/4.35 (~m_main_v_CMD(s0, c_write_h_shared)),
% 4.13/4.35 inference(unit_resolution,[status(thm)],[1453, 1424, 1199, 891, 1403, 1383])).
% 4.13/4.35 tff(1455,assumption,(m_main_v_CMD(s0, c_write_h_resp_h_invalid)), introduced(assumption)).
% 4.13/4.35 tff(1456,plain,
% 4.13/4.35 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~node3(s0)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~node3(s0)))),
% 4.13/4.35 inference(rewrite,[status(thm)],[])).
% 4.13/4.35 tff(1457,plain,
% 4.13/4.35 (((~m_main_v_CMD(s0, c_write_h_resp_h_invalid)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) <=> ((~m_main_v_CMD(s0, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~node3(s0)))),
% 4.13/4.35 inference(rewrite,[status(thm)],[])).
% 4.13/4.35 tff(1458,plain,
% 4.13/4.35 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_invalid)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~node3(s0))))),
% 4.13/4.35 inference(monotonicity,[status(thm)],[1457])).
% 4.13/4.35 tff(1459,plain,
% 4.13/4.35 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_invalid)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~node3(s0)))),
% 4.13/4.35 inference(transitivity,[status(thm)],[1458, 1456])).
% 4.13/4.35 tff(1460,plain,
% 4.13/4.35 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_invalid)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid))),
% 4.13/4.35 inference(quant_inst,[status(thm)],[])).
% 4.13/4.35 tff(1461,plain,
% 4.13/4.35 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~node3(s0))),
% 4.13/4.35 inference(modus_ponens,[status(thm)],[1460, 1459])).
% 4.13/4.35 tff(1462,plain,
% 4.13/4.35 (m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)),
% 4.13/4.35 inference(unit_resolution,[status(thm)],[1461, 901, 665, 1455])).
% 4.13/4.35 tff(1463,plain,
% 4.13/4.35 (m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid))),
% 4.13/4.35 inference(unit_resolution,[status(thm)],[1421, 1415, 5, 1199, 1197, 891])).
% 4.13/4.35 tff(1464,plain,
% 4.13/4.35 ($false),
% 4.13/4.35 inference(unit_resolution,[status(thm)],[1463, 1462, 1273])).
% 4.13/4.35 tff(1465,plain,(m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid))), inference(lemma,lemma(discharge,[]))).
% 4.13/4.35 tff(1466,plain,
% 4.13/4.35 (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)),
% 4.13/4.35 inference(unit_resolution,[status(thm)],[1465, 1403, 1402, 891, 5])).
% 4.13/4.35 tff(1467,plain,
% 4.13/4.35 (~m_main_v_CMD(s0, c_write_h_invalid)),
% 4.13/4.35 inference(unit_resolution,[status(thm)],[1282, 1403])).
% 4.13/4.35 tff(1468,plain,
% 4.13/4.35 (m_main_v_CMD(s0, c_write_h_resp_h_shared)),
% 4.13/4.35 inference(unit_resolution,[status(thm)],[1271, 1467, 1199, 1402, 891, 1466, 1454, 1235])).
% 4.13/4.35 tff(1469,assumption,(~m_processor_v_CMD(c_p1, s0, c_write_h_shared)), introduced(assumption)).
% 4.13/4.35 tff(1470,plain,
% 4.13/4.35 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared) | (~node3(s0)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared) | (~node3(s0)))),
% 4.13/4.35 inference(rewrite,[status(thm)],[])).
% 4.13/4.35 tff(1471,plain,
% 4.13/4.35 (((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)) <=> ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared) | (~node3(s0)))),
% 4.13/4.35 inference(rewrite,[status(thm)],[])).
% 4.13/4.35 tff(1472,plain,
% 4.13/4.35 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared) | (~node3(s0))))),
% 4.13/4.35 inference(monotonicity,[status(thm)],[1471])).
% 4.13/4.35 tff(1473,plain,
% 4.13/4.35 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared) | (~node3(s0)))),
% 4.13/4.35 inference(transitivity,[status(thm)],[1472, 1470])).
% 4.13/4.35 tff(1474,plain,
% 4.13/4.35 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))),
% 4.13/4.35 inference(quant_inst,[status(thm)],[])).
% 4.13/4.35 tff(1475,plain,
% 4.13/4.35 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared) | (~node3(s0))),
% 4.13/4.35 inference(modus_ponens,[status(thm)],[1474, 1473])).
% 4.13/4.35 tff(1476,plain,
% 4.13/4.35 (m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)),
% 4.13/4.35 inference(unit_resolution,[status(thm)],[1475, 901, 665, 1097])).
% 4.13/4.35 tff(1477,plain,
% 4.13/4.35 (^[Y: $i, I0: $i, X: $i] : refl(((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))))),
% 4.13/4.35 inference(bind,[status(th)],[])).
% 4.13/4.35 tff(1478,plain,
% 4.13/4.35 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 4.13/4.35 inference(quant_intro,[status(thm)],[1477])).
% 4.13/4.35 tff(1479,plain,
% 4.13/4.35 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 4.13/4.35 inference(rewrite,[status(thm)],[])).
% 4.13/4.35 tff(1480,plain,
% 4.13/4.35 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))), (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared))), (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared)))), ((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))), ((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))))), (((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_state(I0, Y, c_shared)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_state(I0, Y, c_shared)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_state(I0, Y, c_shared)) <=> (m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))), (((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_state(I0, Y, c_shared)) <=> (m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))))), ((((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y))) <=> ((m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (~node34(I0, X, Y))))), rewrite(((m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))), ((((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))))),
% 4.13/4.36 inference(bind,[status(th)],[])).
% 4.13/4.36 tff(1481,plain,
% 4.13/4.36 (![Y: $i, I0: $i, X: $i] : (((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 4.20/4.36 inference(quant_intro,[status(thm)],[1480])).
% 4.20/4.36 tff(1482,axiom,(![Y: $i, I0: $i, X: $i] : (((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_58')).
% 4.20/4.36 tff(1483,plain,
% 4.20/4.36 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 4.20/4.36 inference(modus_ponens,[status(thm)],[1482, 1481])).
% 4.20/4.36 tff(1484,plain,
% 4.20/4.36 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 4.20/4.36 inference(modus_ponens,[status(thm)],[1483, 1479])).
% 4.20/4.36 tff(1485,plain,(
% 4.20/4.36 ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 4.20/4.36 inference(skolemize,[status(sab)],[1484])).
% 4.20/4.36 tff(1486,plain,
% 4.20/4.36 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 4.20/4.36 inference(modus_ponens,[status(thm)],[1485, 1478])).
% 4.20/4.36 tff(1487,plain,
% 4.20/4.36 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_state(c_p1, s1, c_shared) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)))),
% 4.20/4.36 inference(rewrite,[status(thm)],[])).
% 4.20/4.36 tff(1488,plain,
% 4.20/4.36 (((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))) <=> (m_processor_v_state(c_p1, s1, c_shared) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)))),
% 4.20/4.36 inference(rewrite,[status(thm)],[])).
% 4.20/4.36 tff(1489,plain,
% 4.20/4.36 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))))),
% 4.20/4.36 inference(monotonicity,[status(thm)],[1488])).
% 4.20/4.36 tff(1490,plain,
% 4.20/4.36 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_state(c_p1, s1, c_shared) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)))),
% 4.20/4.36 inference(transitivity,[status(thm)],[1489, 1487])).
% 4.20/4.36 tff(1491,plain,
% 4.20/4.36 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)))),
% 4.20/4.36 inference(quant_inst,[status(thm)],[])).
% 4.20/4.36 tff(1492,plain,
% 4.20/4.36 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_state(c_p1, s1, c_shared) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))),
% 4.20/4.36 inference(modus_ponens,[status(thm)],[1491, 1490])).
% 4.20/4.36 tff(1493,plain,
% 4.20/4.36 (m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))),
% 4.20/4.36 inference(unit_resolution,[status(thm)],[1492, 1486, 1383, 1254, 1434, 891, 1273, 1425])).
% 4.20/4.36 tff(1494,plain,
% 4.20/4.36 ($false),
% 4.20/4.36 inference(unit_resolution,[status(thm)],[1493, 1476, 1469])).
% 4.20/4.36 tff(1495,plain,(m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_state(c_p1, s1, c_shared) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared))), inference(lemma,lemma(discharge,[]))).
% 4.20/4.36 tff(1496,plain,
% 4.20/4.36 (m_processor_v_CMD(c_p1, s0, c_write_h_shared)),
% 4.20/4.36 inference(unit_resolution,[status(thm)],[1495, 891, 1199, 1383, 1403, 1424, 1468])).
% 4.20/4.36 tff(1497,plain,
% 4.20/4.36 ($false),
% 4.20/4.36 inference(unit_resolution,[status(thm)],[1450, 1444, 1383, 1199, 1402, 891, 1403, 1424, 1496])).
% 4.20/4.36 tff(1498,plain,(m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_state(c_p1, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.20/4.36 tff(1499,plain,
% 4.20/4.36 (m_processor_v_CMD(c_p1, s0, c_read_h_owned)),
% 4.20/4.36 inference(unit_resolution,[status(thm)],[1498, 1382, 5])).
% 4.20/4.36 tff(1500,plain,
% 4.20/4.36 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_read_h_owned) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)))),
% 4.20/4.36 inference(rewrite,[status(thm)],[])).
% 4.20/4.36 tff(1501,plain,
% 4.20/4.36 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)))),
% 4.20/4.36 inference(quant_inst,[status(thm)],[])).
% 4.20/4.36 tff(1502,plain,
% 4.20/4.36 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_read_h_owned) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned))),
% 4.20/4.36 inference(modus_ponens,[status(thm)],[1501, 1500])).
% 4.20/4.36 tff(1503,plain,
% 4.20/4.36 ($false),
% 4.20/4.36 inference(unit_resolution,[status(thm)],[1502, 675, 665, 1002, 1313])).
% 4.20/4.36 tff(1504,plain,((~m_processor_v_CMD(c_p1, s0, c_read_h_owned)) | m_main_v_CMD(s0, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 4.20/4.36 tff(1505,plain,
% 4.20/4.36 ($false),
% 4.20/4.36 inference(unit_resolution,[status(thm)],[1504, 1499, 628])).
% 4.20/4.36 tff(1506,plain,(m_processor_v_state(c_p1, s1, c_invalid) | m_memory_v_busy(c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 4.20/4.36 tff(1507,plain,
% 4.20/4.36 (m_processor_v_state(c_p1, s1, c_invalid)),
% 4.20/4.36 inference(unit_resolution,[status(thm)],[1506, 4])).
% 4.20/4.36 tff(1508,assumption,(m_processor_v_state(c_p1, s1, c_invalid)), introduced(assumption)).
% 4.20/4.36 tff(1509,plain,
% 4.20/4.36 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_shared)))),
% 4.20/4.36 inference(rewrite,[status(thm)],[])).
% 4.20/4.36 tff(1510,plain,
% 4.20/4.36 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_shared)))),
% 4.20/4.36 inference(quant_inst,[status(thm)],[])).
% 4.20/4.36 tff(1511,plain,
% 4.20/4.36 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_shared))),
% 4.20/4.36 inference(modus_ponens,[status(thm)],[1510, 1509])).
% 4.20/4.36 tff(1512,plain,
% 4.20/4.36 ($false),
% 4.20/4.36 inference(unit_resolution,[status(thm)],[1511, 107, 1365, 1508])).
% 4.20/4.36 tff(1513,plain,((~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_shared))), inference(lemma,lemma(discharge,[]))).
% 4.20/4.36 tff(1514,plain,
% 4.20/4.36 (~m_processor_v_state(c_p1, s1, c_shared)),
% 4.20/4.36 inference(unit_resolution,[status(thm)],[1513, 1507])).
% 4.20/4.36 tff(1515,assumption,(~m_processor_v_state(c_p1, s2, c_owned)), introduced(assumption)).
% 4.20/4.36 tff(1516,assumption,(~m_processor_v_state(c_p0, s1, c_invalid)), introduced(assumption)).
% 4.20/4.36 tff(1517,assumption,(~m_processor_v_master(c_p0, s0)), introduced(assumption)).
% 4.20/4.36 tff(1518,assumption,(node37(c_p0, s0, s1)), introduced(assumption)).
% 4.20/4.36 tff(1519,plain,
% 4.20/4.36 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | (~node37(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~node37(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid))),
% 4.20/4.36 inference(rewrite,[status(thm)],[])).
% 4.20/4.36 tff(1520,plain,
% 4.20/4.36 (((~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid) | (~node37(c_p0, s0, s1))) <=> ((~m_processor_v_state(c_p0, s0, c_invalid)) | (~node37(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid))),
% 4.20/4.36 inference(rewrite,[status(thm)],[])).
% 4.20/4.36 tff(1521,plain,
% 4.20/4.36 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid) | (~node37(c_p0, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | (~node37(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid)))),
% 4.20/4.36 inference(monotonicity,[status(thm)],[1520])).
% 4.20/4.36 tff(1522,plain,
% 4.20/4.36 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid) | (~node37(c_p0, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~node37(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid))),
% 4.20/4.36 inference(transitivity,[status(thm)],[1521, 1519])).
% 4.20/4.36 tff(1523,plain,
% 4.20/4.36 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid) | (~node37(c_p0, s0, s1)))),
% 4.20/4.36 inference(quant_inst,[status(thm)],[])).
% 4.20/4.36 tff(1524,plain,
% 4.20/4.36 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~node37(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid)),
% 4.20/4.36 inference(modus_ponens,[status(thm)],[1523, 1522])).
% 4.20/4.36 tff(1525,plain,
% 4.20/4.36 ($false),
% 4.20/4.36 inference(unit_resolution,[status(thm)],[1524, 95, 287, 1518, 1516])).
% 4.20/4.36 tff(1526,plain,((~node37(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.20/4.36 tff(1527,plain,
% 4.20/4.36 (~node37(c_p0, s0, s1)),
% 4.20/4.36 inference(unit_resolution,[status(thm)],[1526, 1516])).
% 4.20/4.36 tff(1528,assumption,(node32(c_p0, s0, s1)), introduced(assumption)).
% 4.20/4.36 tff(1529,plain,
% 4.20/4.36 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | (~node32(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~node32(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid))),
% 4.20/4.36 inference(rewrite,[status(thm)],[])).
% 4.20/4.36 tff(1530,plain,
% 4.20/4.36 (((~node32(c_p0, s0, s1)) | (~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid)) <=> ((~m_processor_v_state(c_p0, s0, c_invalid)) | (~node32(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid))),
% 4.20/4.36 inference(rewrite,[status(thm)],[])).
% 4.20/4.36 tff(1531,plain,
% 4.20/4.36 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s0, s1)) | (~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | (~node32(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid)))),
% 4.20/4.36 inference(monotonicity,[status(thm)],[1530])).
% 4.20/4.36 tff(1532,plain,
% 4.20/4.36 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s0, s1)) | (~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~node32(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid))),
% 4.20/4.36 inference(transitivity,[status(thm)],[1531, 1529])).
% 4.20/4.36 tff(1533,plain,
% 4.20/4.36 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s0, s1)) | (~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid))),
% 4.20/4.36 inference(quant_inst,[status(thm)],[])).
% 4.20/4.36 tff(1534,plain,
% 4.20/4.36 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~node32(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid)),
% 4.20/4.36 inference(modus_ponens,[status(thm)],[1533, 1532])).
% 4.20/4.36 tff(1535,plain,
% 4.20/4.36 ($false),
% 4.20/4.36 inference(unit_resolution,[status(thm)],[1534, 28, 287, 1528, 1516])).
% 4.20/4.36 tff(1536,plain,((~node32(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.20/4.36 tff(1537,plain,
% 4.20/4.36 (~node32(c_p0, s0, s1)),
% 4.20/4.36 inference(unit_resolution,[status(thm)],[1536, 1516])).
% 4.20/4.36 tff(1538,assumption,(~node38(c_p0, s0, s1)), introduced(assumption)).
% 4.20/4.36 tff(1539,plain,
% 4.20/4.36 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s0, s1)) | node38(c_p0, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s0, s1)) | node38(c_p0, s0, s1))),
% 4.20/4.36 inference(rewrite,[status(thm)],[])).
% 4.20/4.36 tff(1540,plain,
% 4.20/4.36 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s0, s1)) | node38(c_p0, s0, s1))),
% 4.20/4.36 inference(quant_inst,[status(thm)],[])).
% 4.20/4.36 tff(1541,plain,
% 4.20/4.36 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s0, s1)) | node38(c_p0, s0, s1)),
% 4.20/4.36 inference(modus_ponens,[status(thm)],[1540, 1539])).
% 4.20/4.36 tff(1542,plain,
% 4.20/4.36 ($false),
% 4.20/4.36 inference(unit_resolution,[status(thm)],[1541, 61, 54, 1538])).
% 4.20/4.36 tff(1543,plain,(node38(c_p0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 4.20/4.36 tff(1544,plain,
% 4.20/4.36 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~m_processor_v_abort(c_p0, s0)) | node32(c_p0, s0, s1) | (~node38(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p0, s0)) | node32(c_p0, s0, s1) | (~node38(c_p0, s0, s1)))),
% 4.20/4.36 inference(rewrite,[status(thm)],[])).
% 4.20/4.36 tff(1545,plain,
% 4.20/4.36 ((node32(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | (~m_processor_v_abort(c_p0, s0))) <=> ((~m_processor_v_abort(c_p0, s0)) | node32(c_p0, s0, s1) | (~node38(c_p0, s0, s1)))),
% 4.20/4.36 inference(rewrite,[status(thm)],[])).
% 4.20/4.36 tff(1546,plain,
% 4.20/4.36 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | (~m_processor_v_abort(c_p0, s0)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~m_processor_v_abort(c_p0, s0)) | node32(c_p0, s0, s1) | (~node38(c_p0, s0, s1))))),
% 4.20/4.36 inference(monotonicity,[status(thm)],[1545])).
% 4.20/4.36 tff(1547,plain,
% 4.20/4.36 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | (~m_processor_v_abort(c_p0, s0)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p0, s0)) | node32(c_p0, s0, s1) | (~node38(c_p0, s0, s1)))),
% 4.20/4.36 inference(transitivity,[status(thm)],[1546, 1544])).
% 4.20/4.36 tff(1548,plain,
% 4.20/4.36 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | (~m_processor_v_abort(c_p0, s0)))),
% 4.20/4.36 inference(quant_inst,[status(thm)],[])).
% 4.20/4.36 tff(1549,plain,
% 4.20/4.36 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p0, s0)) | node32(c_p0, s0, s1) | (~node38(c_p0, s0, s1))),
% 4.20/4.36 inference(modus_ponens,[status(thm)],[1548, 1547])).
% 4.20/4.36 tff(1550,plain,
% 4.20/4.36 ((~m_processor_v_abort(c_p0, s0)) | node32(c_p0, s0, s1)),
% 4.20/4.36 inference(unit_resolution,[status(thm)],[1549, 76, 1543])).
% 4.20/4.36 tff(1551,plain,
% 4.20/4.36 (~m_processor_v_abort(c_p0, s0)),
% 4.20/4.36 inference(unit_resolution,[status(thm)],[1550, 1537])).
% 4.20/4.36 tff(1552,plain,
% 4.20/4.36 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s0, c_shared) | (~node36(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s0, c_shared) | (~node36(c_p0, s0)))),
% 4.20/4.36 inference(rewrite,[status(thm)],[])).
% 4.20/4.36 tff(1553,plain,
% 4.20/4.36 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s0, c_shared) | (~node36(c_p0, s0)))),
% 4.20/4.36 inference(quant_inst,[status(thm)],[])).
% 4.20/4.36 tff(1554,plain,
% 4.20/4.36 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s0, c_shared) | (~node36(c_p0, s0))),
% 4.20/4.36 inference(modus_ponens,[status(thm)],[1553, 1552])).
% 4.20/4.36 tff(1555,plain,
% 4.20/4.37 (~node36(c_p0, s0)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1554, 118, 829])).
% 4.20/4.37 tff(1556,plain,
% 4.20/4.37 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s0) | m_processor_v_state(c_p0, s0, c_shared) | node36(c_p0, s0) | node37(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s0) | m_processor_v_state(c_p0, s0, c_shared) | node36(c_p0, s0) | node37(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0))),
% 4.20/4.37 inference(rewrite,[status(thm)],[])).
% 4.20/4.37 tff(1557,plain,
% 4.20/4.37 ((m_processor_v_state(c_p0, s0, c_shared) | node36(c_p0, s0) | m_processor_v_master(c_p0, s0) | node37(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0)) <=> (m_processor_v_master(c_p0, s0) | m_processor_v_state(c_p0, s0, c_shared) | node36(c_p0, s0) | node37(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0))),
% 4.20/4.37 inference(rewrite,[status(thm)],[])).
% 4.20/4.37 tff(1558,plain,
% 4.20/4.37 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s0, c_shared) | node36(c_p0, s0) | m_processor_v_master(c_p0, s0) | node37(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s0) | m_processor_v_state(c_p0, s0, c_shared) | node36(c_p0, s0) | node37(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0)))),
% 4.20/4.37 inference(monotonicity,[status(thm)],[1557])).
% 4.20/4.37 tff(1559,plain,
% 4.20/4.37 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s0, c_shared) | node36(c_p0, s0) | m_processor_v_master(c_p0, s0) | node37(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s0) | m_processor_v_state(c_p0, s0, c_shared) | node36(c_p0, s0) | node37(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0))),
% 4.20/4.37 inference(transitivity,[status(thm)],[1558, 1556])).
% 4.20/4.37 tff(1560,plain,
% 4.20/4.37 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s0, c_shared) | node36(c_p0, s0) | m_processor_v_master(c_p0, s0) | node37(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0))),
% 4.20/4.37 inference(quant_inst,[status(thm)],[])).
% 4.20/4.37 tff(1561,plain,
% 4.20/4.37 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s0) | m_processor_v_state(c_p0, s0, c_shared) | node36(c_p0, s0) | node37(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0)),
% 4.20/4.37 inference(modus_ponens,[status(thm)],[1560, 1559])).
% 4.20/4.37 tff(1562,plain,
% 4.20/4.37 (m_processor_v_master(c_p0, s0) | node37(c_p0, s0, s1) | m_processor_v_abort(c_p0, s0)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1561, 134, 829, 1555, 1543])).
% 4.20/4.37 tff(1563,plain,
% 4.20/4.37 ($false),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1562, 1551, 1527, 1517])).
% 4.20/4.37 tff(1564,plain,(m_processor_v_state(c_p0, s1, c_invalid) | m_processor_v_master(c_p0, s0)), inference(lemma,lemma(discharge,[]))).
% 4.20/4.37 tff(1565,plain,
% 4.20/4.37 (m_processor_v_master(c_p0, s0)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1564, 1516])).
% 4.20/4.37 tff(1566,plain,
% 4.20/4.37 (^[X: $i] : refl(((~m_processor_v_master(c_p0, X)) | (~node17(X))) <=> ((~m_processor_v_master(c_p0, X)) | (~node17(X))))),
% 4.20/4.37 inference(bind,[status(th)],[])).
% 4.20/4.37 tff(1567,plain,
% 4.20/4.37 (![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X))) <=> ![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))),
% 4.20/4.37 inference(quant_intro,[status(thm)],[1566])).
% 4.20/4.37 tff(1568,plain,
% 4.20/4.37 (![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X))) <=> ![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))),
% 4.20/4.37 inference(rewrite,[status(thm)],[])).
% 4.20/4.37 tff(1569,axiom,(![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_122')).
% 4.20/4.37 tff(1570,plain,
% 4.20/4.37 (![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))),
% 4.20/4.37 inference(modus_ponens,[status(thm)],[1569, 1568])).
% 4.20/4.37 tff(1571,plain,(
% 4.20/4.37 ![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))),
% 4.20/4.37 inference(skolemize,[status(sab)],[1570])).
% 4.20/4.37 tff(1572,plain,
% 4.20/4.37 (![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))),
% 4.20/4.37 inference(modus_ponens,[status(thm)],[1571, 1567])).
% 4.20/4.37 tff(1573,plain,
% 4.20/4.37 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s0)) | (~node17(s0)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s0)) | (~node17(s0)))),
% 4.20/4.37 inference(rewrite,[status(thm)],[])).
% 4.20/4.37 tff(1574,plain,
% 4.20/4.37 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s0)) | (~node17(s0)))),
% 4.20/4.37 inference(quant_inst,[status(thm)],[])).
% 4.20/4.37 tff(1575,plain,
% 4.20/4.37 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s0)) | (~node17(s0))),
% 4.20/4.37 inference(modus_ponens,[status(thm)],[1574, 1573])).
% 4.20/4.37 tff(1576,plain,
% 4.20/4.37 ($false),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1575, 1572, 808, 144])).
% 4.20/4.37 tff(1577,plain,((~m_processor_v_master(c_p0, s0)) | (~node17(s0))), inference(lemma,lemma(discharge,[]))).
% 4.20/4.37 tff(1578,plain,
% 4.20/4.37 (~node17(s0)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1577, 1565])).
% 4.20/4.37 tff(1579,plain,
% 4.20/4.37 (~m_memory_v_master(c_m, s0)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[172, 1578])).
% 4.20/4.37 tff(1580,plain,
% 4.20/4.37 (~node19(c_m, s0)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[188, 1579])).
% 4.20/4.37 tff(1581,plain,
% 4.20/4.37 (m_memory_v_abort(c_m, s0)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[217, 1580, 4, 6, 1579])).
% 4.20/4.37 tff(1582,assumption,(~node60(c_p0, s0)), introduced(assumption)).
% 4.20/4.37 tff(1583,assumption,(~m_processor_v_abort(c_p0, s0)), introduced(assumption)).
% 4.20/4.37 tff(1584,plain,
% 4.20/4.37 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s0) | node60(c_p0, s0))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s0) | node60(c_p0, s0))),
% 4.20/4.37 inference(rewrite,[status(thm)],[])).
% 4.20/4.37 tff(1585,plain,
% 4.20/4.37 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s0) | node60(c_p0, s0))),
% 4.20/4.37 inference(quant_inst,[status(thm)],[])).
% 4.20/4.37 tff(1586,plain,
% 4.20/4.37 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s0) | node60(c_p0, s0)),
% 4.20/4.37 inference(modus_ponens,[status(thm)],[1585, 1584])).
% 4.20/4.37 tff(1587,plain,
% 4.20/4.37 ($false),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1586, 491, 1583, 1582])).
% 4.20/4.37 tff(1588,plain,(m_processor_v_abort(c_p0, s0) | node60(c_p0, s0)), inference(lemma,lemma(discharge,[]))).
% 4.20/4.37 tff(1589,plain,
% 4.20/4.37 (node60(c_p0, s0)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1588, 1551])).
% 4.20/4.37 tff(1590,assumption,(node60(c_p0, s0)), introduced(assumption)).
% 4.20/4.37 tff(1591,plain,
% 4.20/4.37 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s0)) | (~node60(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s0)) | (~node60(c_p0, s0)))),
% 4.20/4.37 inference(rewrite,[status(thm)],[])).
% 4.20/4.37 tff(1592,plain,
% 4.20/4.37 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s0)) | (~node60(c_p0, s0)))),
% 4.20/4.37 inference(quant_inst,[status(thm)],[])).
% 4.20/4.37 tff(1593,plain,
% 4.20/4.37 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s0)) | (~node60(c_p0, s0))),
% 4.20/4.37 inference(modus_ponens,[status(thm)],[1592, 1591])).
% 4.20/4.37 tff(1594,plain,
% 4.20/4.37 ($false),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1593, 538, 498, 1590])).
% 4.20/4.37 tff(1595,plain,((~m_processor_v_REPLY_h_STALL(c_p0, s0)) | (~node60(c_p0, s0))), inference(lemma,lemma(discharge,[]))).
% 4.20/4.37 tff(1596,plain,
% 4.20/4.37 (~m_processor_v_REPLY_h_STALL(c_p0, s0)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1595, 1589])).
% 4.20/4.37 tff(1597,plain,
% 4.20/4.37 (~m_main_v_REPLY_h_STALL(s0)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[560, 1596])).
% 4.20/4.37 tff(1598,plain,
% 4.20/4.37 (~m_memory_v_REPLY_h_STALL(c_m, s0)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[578, 1597])).
% 4.20/4.37 tff(1599,plain,
% 4.20/4.37 ($false),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[481, 1598, 1581])).
% 4.20/4.37 tff(1600,plain,(m_processor_v_state(c_p0, s1, c_invalid) | m_memory_v_busy(c_m, s1) | node20(c_m, s0)), inference(lemma,lemma(discharge,[]))).
% 4.20/4.37 tff(1601,plain,
% 4.20/4.37 (m_processor_v_state(c_p0, s1, c_invalid)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1600, 6, 4])).
% 4.20/4.37 tff(1602,assumption,(m_processor_v_state(c_p0, s1, c_owned)), introduced(assumption)).
% 4.20/4.37 tff(1603,plain,
% 4.20/4.37 (^[V: $i, Y: $i, I0: $i, X: $i] : refl((m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y))) <=> (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y))))),
% 4.20/4.37 inference(bind,[status(th)],[])).
% 4.20/4.37 tff(1604,plain,
% 4.20/4.37 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))),
% 4.20/4.37 inference(quant_intro,[status(thm)],[1603])).
% 4.20/4.37 tff(1605,plain,
% 4.20/4.37 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))),
% 4.20/4.37 inference(rewrite,[status(thm)],[])).
% 4.20/4.37 tff(1606,plain,
% 4.20/4.37 (^[V: $i, Y: $i, I0: $i, X: $i] : rewrite((((~m_processor_v_state(I0, Y, V)) | m_processor_v_state(I0, X, V)) | (~node37(I0, X, Y))) <=> (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y))))),
% 4.20/4.37 inference(bind,[status(th)],[])).
% 4.20/4.37 tff(1607,plain,
% 4.20/4.37 (![V: $i, Y: $i, I0: $i, X: $i] : (((~m_processor_v_state(I0, Y, V)) | m_processor_v_state(I0, X, V)) | (~node37(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))),
% 4.20/4.37 inference(quant_intro,[status(thm)],[1606])).
% 4.20/4.37 tff(1608,axiom,(![V: $i, Y: $i, I0: $i, X: $i] : (((~m_processor_v_state(I0, Y, V)) | m_processor_v_state(I0, X, V)) | (~node37(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_66')).
% 4.20/4.37 tff(1609,plain,
% 4.20/4.37 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))),
% 4.20/4.37 inference(modus_ponens,[status(thm)],[1608, 1607])).
% 4.20/4.37 tff(1610,plain,
% 4.20/4.37 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))),
% 4.20/4.37 inference(modus_ponens,[status(thm)],[1609, 1605])).
% 4.20/4.37 tff(1611,plain,(
% 4.20/4.37 ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))),
% 4.20/4.37 inference(skolemize,[status(sab)],[1610])).
% 4.20/4.37 tff(1612,plain,
% 4.20/4.37 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))),
% 4.20/4.37 inference(modus_ponens,[status(thm)],[1611, 1604])).
% 4.20/4.37 tff(1613,plain,
% 4.20/4.37 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~node37(c_p0, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s0, c_owned) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~node37(c_p0, s0, s1)))),
% 4.20/4.37 inference(rewrite,[status(thm)],[])).
% 4.20/4.37 tff(1614,plain,
% 4.20/4.37 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~node37(c_p0, s0, s1)))),
% 4.20/4.37 inference(quant_inst,[status(thm)],[])).
% 4.20/4.37 tff(1615,plain,
% 4.20/4.37 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s0, c_owned) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~node37(c_p0, s0, s1))),
% 4.20/4.37 inference(modus_ponens,[status(thm)],[1614, 1613])).
% 4.20/4.37 tff(1616,plain,
% 4.20/4.37 ($false),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1615, 1612, 291, 1518, 1602])).
% 4.20/4.37 tff(1617,plain,((~m_processor_v_state(c_p0, s1, c_owned)) | (~node37(c_p0, s0, s1))), inference(lemma,lemma(discharge,[]))).
% 4.20/4.37 tff(1618,plain,
% 4.20/4.37 (~node37(c_p0, s0, s1)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1617, 1602])).
% 4.20/4.37 tff(1619,plain,
% 4.20/4.37 (m_processor_v_abort(c_p0, s0)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1562, 1618, 1517])).
% 4.20/4.37 tff(1620,plain,
% 4.20/4.37 (node32(c_p0, s0, s1)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1550, 1619])).
% 4.20/4.37 tff(1621,plain,
% 4.20/4.37 (m_processor_v_state(c_p0, s1, c_invalid)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1536, 1620])).
% 4.20/4.37 tff(1622,plain,
% 4.20/4.37 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_state(c_p0, s1, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_state(c_p0, s1, c_owned)))),
% 4.20/4.37 inference(rewrite,[status(thm)],[])).
% 4.20/4.37 tff(1623,plain,
% 4.20/4.37 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_state(c_p0, s1, c_owned)))),
% 4.20/4.37 inference(quant_inst,[status(thm)],[])).
% 4.20/4.37 tff(1624,plain,
% 4.20/4.37 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_state(c_p0, s1, c_owned))),
% 4.20/4.37 inference(modus_ponens,[status(thm)],[1623, 1622])).
% 4.20/4.37 tff(1625,plain,
% 4.20/4.37 ($false),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1624, 228, 1621, 1602])).
% 4.20/4.37 tff(1626,plain,((~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s0)), inference(lemma,lemma(discharge,[]))).
% 4.20/4.37 tff(1627,plain,
% 4.20/4.37 (m_processor_v_master(c_p0, s0)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1626, 1602])).
% 4.20/4.37 tff(1628,plain,
% 4.20/4.37 (~node17(s0)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1577, 1627])).
% 4.20/4.37 tff(1629,plain,
% 4.20/4.37 (~m_memory_v_master(c_m, s0)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[172, 1628])).
% 4.20/4.37 tff(1630,plain,
% 4.20/4.37 (~node19(c_m, s0)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[188, 1629])).
% 4.20/4.37 tff(1631,assumption,(~m_processor_v_CMD(c_p0, s0, c_read_h_owned)), introduced(assumption)).
% 4.20/4.37 tff(1632,assumption,(m_processor_v_state(c_p0, s1, c_shared)), introduced(assumption)).
% 4.20/4.37 tff(1633,plain,
% 4.20/4.37 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_state(c_p0, s1, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_state(c_p0, s1, c_shared)))),
% 4.20/4.37 inference(rewrite,[status(thm)],[])).
% 4.20/4.37 tff(1634,plain,
% 4.20/4.37 (((~m_processor_v_state(c_p0, s1, c_shared)) | (~m_processor_v_state(c_p0, s1, c_owned))) <=> ((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_state(c_p0, s1, c_shared)))),
% 4.20/4.37 inference(rewrite,[status(thm)],[])).
% 4.20/4.37 tff(1635,plain,
% 4.20/4.37 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | (~m_processor_v_state(c_p0, s1, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_state(c_p0, s1, c_shared))))),
% 4.20/4.37 inference(monotonicity,[status(thm)],[1634])).
% 4.20/4.37 tff(1636,plain,
% 4.20/4.37 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | (~m_processor_v_state(c_p0, s1, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_state(c_p0, s1, c_shared)))),
% 4.20/4.37 inference(transitivity,[status(thm)],[1635, 1633])).
% 4.20/4.37 tff(1637,plain,
% 4.20/4.37 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | (~m_processor_v_state(c_p0, s1, c_owned)))),
% 4.20/4.37 inference(quant_inst,[status(thm)],[])).
% 4.20/4.37 tff(1638,plain,
% 4.20/4.37 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_state(c_p0, s1, c_shared))),
% 4.20/4.37 inference(modus_ponens,[status(thm)],[1637, 1636])).
% 4.20/4.37 tff(1639,plain,
% 4.20/4.37 ($false),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1638, 1373, 1632, 1602])).
% 4.20/4.37 tff(1640,plain,((~m_processor_v_state(c_p0, s1, c_shared)) | (~m_processor_v_state(c_p0, s1, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.20/4.37 tff(1641,plain,
% 4.20/4.37 (~m_processor_v_state(c_p0, s1, c_shared)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1640, 1602])).
% 4.20/4.37 tff(1642,plain,
% 4.20/4.37 (~m_processor_v_state(c_p0, s1, c_invalid)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1624, 228, 1602])).
% 4.20/4.37 tff(1643,plain,
% 4.20/4.37 (~node32(c_p0, s0, s1)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1536, 1642])).
% 4.20/4.37 tff(1644,assumption,(~m_processor_v_state(c_p0, s1, c_shared)), introduced(assumption)).
% 4.20/4.37 tff(1645,plain,
% 4.20/4.37 (^[V: $i, Y: $i, I0: $i, X: $i] : refl((m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y))) <=> (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y))))),
% 4.20/4.37 inference(bind,[status(th)],[])).
% 4.20/4.37 tff(1646,plain,
% 4.20/4.37 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))),
% 4.20/4.37 inference(quant_intro,[status(thm)],[1645])).
% 4.20/4.37 tff(1647,plain,
% 4.20/4.37 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))),
% 4.20/4.37 inference(rewrite,[status(thm)],[])).
% 4.20/4.37 tff(1648,plain,
% 4.20/4.37 (^[V: $i, Y: $i, I0: $i, X: $i] : rewrite((((~m_processor_v_state(I0, Y, V)) | m_processor_v_state(I0, X, V)) | (~node33(I0, X, Y))) <=> (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y))))),
% 4.20/4.37 inference(bind,[status(th)],[])).
% 4.20/4.37 tff(1649,plain,
% 4.20/4.37 (![V: $i, Y: $i, I0: $i, X: $i] : (((~m_processor_v_state(I0, Y, V)) | m_processor_v_state(I0, X, V)) | (~node33(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))),
% 4.20/4.37 inference(quant_intro,[status(thm)],[1648])).
% 4.20/4.37 tff(1650,axiom,(![V: $i, Y: $i, I0: $i, X: $i] : (((~m_processor_v_state(I0, Y, V)) | m_processor_v_state(I0, X, V)) | (~node33(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_52')).
% 4.20/4.37 tff(1651,plain,
% 4.20/4.37 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))),
% 4.20/4.37 inference(modus_ponens,[status(thm)],[1650, 1649])).
% 4.20/4.37 tff(1652,plain,
% 4.20/4.37 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))),
% 4.20/4.37 inference(modus_ponens,[status(thm)],[1651, 1647])).
% 4.20/4.37 tff(1653,plain,(
% 4.20/4.37 ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))),
% 4.20/4.37 inference(skolemize,[status(sab)],[1652])).
% 4.20/4.37 tff(1654,plain,
% 4.20/4.37 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))),
% 4.20/4.37 inference(modus_ponens,[status(thm)],[1653, 1646])).
% 4.20/4.37 tff(1655,plain,
% 4.20/4.37 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~node33(c_p0, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p0, s0, c_owned) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~node33(c_p0, s0, s1)))),
% 4.20/4.37 inference(rewrite,[status(thm)],[])).
% 4.20/4.37 tff(1656,plain,
% 4.20/4.37 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~node33(c_p0, s0, s1)))),
% 4.20/4.37 inference(quant_inst,[status(thm)],[])).
% 4.20/4.37 tff(1657,plain,
% 4.20/4.37 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p0, s0, c_owned) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~node33(c_p0, s0, s1))),
% 4.20/4.37 inference(modus_ponens,[status(thm)],[1656, 1655])).
% 4.20/4.37 tff(1658,plain,
% 4.20/4.37 (~node33(c_p0, s0, s1)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1657, 1654, 291, 1602])).
% 4.20/4.37 tff(1659,assumption,(node34(c_p0, s0, s1)), introduced(assumption)).
% 4.20/4.37 tff(1660,assumption,(~node33(c_p0, s0, s1)), introduced(assumption)).
% 4.20/4.37 tff(1661,plain,
% 4.20/4.37 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)))),
% 4.20/4.37 inference(rewrite,[status(thm)],[])).
% 4.20/4.37 tff(1662,plain,
% 4.20/4.37 (((~node34(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_shared) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared))) <=> (m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)))),
% 4.20/4.37 inference(rewrite,[status(thm)],[])).
% 4.20/4.37 tff(1663,plain,
% 4.20/4.37 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_shared) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared))))),
% 4.20/4.37 inference(monotonicity,[status(thm)],[1662])).
% 4.20/4.37 tff(1664,plain,
% 4.20/4.37 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_shared) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)))),
% 4.20/4.37 inference(transitivity,[status(thm)],[1663, 1661])).
% 4.20/4.37 tff(1665,plain,
% 4.20/4.37 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_shared) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)))),
% 4.20/4.37 inference(quant_inst,[status(thm)],[])).
% 4.20/4.37 tff(1666,plain,
% 4.20/4.37 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared))),
% 4.20/4.37 inference(modus_ponens,[status(thm)],[1665, 1664])).
% 4.20/4.37 tff(1667,plain,
% 4.20/4.37 (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1666, 1393, 1659, 1644])).
% 4.20/4.37 tff(1668,plain,
% 4.20/4.37 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_state(c_p0, s1, c_invalid) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s0, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_state(c_p0, s1, c_invalid) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s0, c_write_h_invalid)))),
% 4.20/4.37 inference(rewrite,[status(thm)],[])).
% 4.20/4.37 tff(1669,plain,
% 4.20/4.37 (((~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_state(c_p0, s1, c_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_invalid))) <=> (m_processor_v_state(c_p0, s1, c_invalid) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s0, c_write_h_invalid)))),
% 4.20/4.37 inference(rewrite,[status(thm)],[])).
% 4.20/4.37 tff(1670,plain,
% 4.20/4.37 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_state(c_p0, s1, c_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_state(c_p0, s1, c_invalid) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s0, c_write_h_invalid))))),
% 4.20/4.37 inference(monotonicity,[status(thm)],[1669])).
% 4.20/4.37 tff(1671,plain,
% 4.20/4.37 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_state(c_p0, s1, c_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_state(c_p0, s1, c_invalid) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s0, c_write_h_invalid)))),
% 4.20/4.37 inference(transitivity,[status(thm)],[1670, 1668])).
% 4.20/4.37 tff(1672,plain,
% 4.20/4.37 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_state(c_p0, s1, c_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_invalid)))),
% 4.20/4.37 inference(quant_inst,[status(thm)],[])).
% 4.20/4.37 tff(1673,plain,
% 4.20/4.37 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_state(c_p0, s1, c_invalid) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s0, c_write_h_invalid))),
% 4.20/4.37 inference(modus_ponens,[status(thm)],[1672, 1671])).
% 4.20/4.37 tff(1674,plain,
% 4.20/4.37 (m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s0, c_write_h_invalid))),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1673, 1209, 1659, 1516])).
% 4.20/4.37 tff(1675,plain,
% 4.20/4.37 (~m_processor_v_CMD(c_p0, s0, c_write_h_invalid)),
% 4.20/4.37 inference(unit_resolution,[status(thm)],[1674, 1631, 1667])).
% 4.20/4.37 tff(1676,assumption,(~m_processor_v_CMD(c_p0, s0, c_write_h_shared)), introduced(assumption)).
% 4.20/4.37 tff(1677,plain,
% 4.20/4.37 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_state(c_p0, s1, c_invalid) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_state(c_p0, s1, c_invalid) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)))),
% 4.20/4.37 inference(rewrite,[status(thm)],[])).
% 4.20/4.37 tff(1678,plain,
% 4.20/4.37 (((~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_state(c_p0, s1, c_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid))) <=> (m_processor_v_state(c_p0, s1, c_invalid) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)))),
% 4.20/4.37 inference(rewrite,[status(thm)],[])).
% 4.20/4.37 tff(1679,plain,
% 4.20/4.37 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_state(c_p0, s1, c_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_state(c_p0, s1, c_invalid) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid))))),
% 4.20/4.38 inference(monotonicity,[status(thm)],[1678])).
% 4.20/4.38 tff(1680,plain,
% 4.20/4.38 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_state(c_p0, s1, c_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_state(c_p0, s1, c_invalid) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)))),
% 4.20/4.38 inference(transitivity,[status(thm)],[1679, 1677])).
% 4.20/4.38 tff(1681,plain,
% 4.20/4.38 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_state(c_p0, s1, c_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)))),
% 4.20/4.38 inference(quant_inst,[status(thm)],[])).
% 4.20/4.38 tff(1682,plain,
% 4.20/4.38 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_state(c_p0, s1, c_invalid) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid))),
% 4.20/4.38 inference(modus_ponens,[status(thm)],[1681, 1680])).
% 4.20/4.38 tff(1683,plain,
% 4.20/4.38 (m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid))),
% 4.20/4.38 inference(unit_resolution,[status(thm)],[1682, 1415, 1659, 1516])).
% 4.20/4.38 tff(1684,plain,
% 4.20/4.38 (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)),
% 4.20/4.38 inference(unit_resolution,[status(thm)],[1683, 1675, 1667, 1631])).
% 4.20/4.38 tff(1685,plain,
% 4.20/4.38 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s0, s1) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_shared) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | node33(c_p0, s0, s1) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_shared) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared))),
% 4.20/4.38 inference(rewrite,[status(thm)],[])).
% 4.20/4.38 tff(1686,plain,
% 4.20/4.38 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s0, s1) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_shared) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared))),
% 4.20/4.38 inference(quant_inst,[status(thm)],[])).
% 4.20/4.38 tff(1687,plain,
% 4.20/4.38 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | node33(c_p0, s0, s1) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_shared) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)),
% 4.20/4.38 inference(modus_ponens,[status(thm)],[1686, 1685])).
% 4.20/4.38 tff(1688,plain,
% 4.20/4.38 (m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_shared) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)),
% 4.20/4.38 inference(unit_resolution,[status(thm)],[1687, 1265, 1659, 1660])).
% 4.20/4.38 tff(1689,plain,
% 4.20/4.38 (m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)),
% 4.20/4.38 inference(unit_resolution,[status(thm)],[1688, 1684, 1667, 1631, 1676, 1675])).
% 4.20/4.38 tff(1690,plain,
% 4.20/4.38 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)))),
% 4.20/4.38 inference(rewrite,[status(thm)],[])).
% 4.20/4.38 tff(1691,plain,
% 4.20/4.38 (((~node34(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared))) <=> (m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)))),
% 4.20/4.38 inference(rewrite,[status(thm)],[])).
% 4.20/4.38 tff(1692,plain,
% 4.20/4.38 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared))))),
% 4.20/4.38 inference(monotonicity,[status(thm)],[1691])).
% 4.20/4.38 tff(1693,plain,
% 4.20/4.38 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)))),
% 4.22/4.38 inference(transitivity,[status(thm)],[1692, 1690])).
% 4.22/4.38 tff(1694,plain,
% 4.22/4.38 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)))),
% 4.22/4.38 inference(quant_inst,[status(thm)],[])).
% 4.22/4.38 tff(1695,plain,
% 4.22/4.38 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared))),
% 4.22/4.38 inference(modus_ponens,[status(thm)],[1694, 1693])).
% 4.22/4.38 tff(1696,plain,
% 4.22/4.38 (m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared))),
% 4.22/4.38 inference(unit_resolution,[status(thm)],[1695, 1486, 1659, 1644])).
% 4.22/4.38 tff(1697,plain,
% 4.22/4.38 ($false),
% 4.22/4.38 inference(unit_resolution,[status(thm)],[1696, 1689, 1684, 1667, 1631, 1676, 1675])).
% 4.22/4.38 tff(1698,plain,(m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_shared) | (~node34(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_shared) | node33(c_p0, s0, s1) | m_processor_v_state(c_p0, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.38 tff(1699,plain,
% 4.22/4.38 (m_processor_v_CMD(c_p0, s0, c_write_h_shared)),
% 4.22/4.38 inference(unit_resolution,[status(thm)],[1698, 1631, 1516, 1644, 1660, 1659])).
% 4.22/4.38 tff(1700,plain,
% 4.22/4.38 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_shared)))),
% 4.22/4.38 inference(rewrite,[status(thm)],[])).
% 4.22/4.38 tff(1701,plain,
% 4.22/4.38 (((~node34(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_shared))) <=> (m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_shared)))),
% 4.22/4.38 inference(rewrite,[status(thm)],[])).
% 4.22/4.38 tff(1702,plain,
% 4.22/4.38 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_shared))))),
% 4.22/4.38 inference(monotonicity,[status(thm)],[1701])).
% 4.22/4.38 tff(1703,plain,
% 4.22/4.38 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_shared)))),
% 4.22/4.38 inference(transitivity,[status(thm)],[1702, 1700])).
% 4.22/4.38 tff(1704,plain,
% 4.22/4.38 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_shared)))),
% 4.22/4.38 inference(quant_inst,[status(thm)],[])).
% 4.22/4.38 tff(1705,plain,
% 4.22/4.38 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_shared))),
% 4.22/4.38 inference(modus_ponens,[status(thm)],[1704, 1703])).
% 4.22/4.38 tff(1706,plain,
% 4.22/4.38 (m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | m_processor_v_CMD(c_p0, s0, c_write_h_invalid) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s0, c_write_h_shared))),
% 4.22/4.38 inference(unit_resolution,[status(thm)],[1705, 1444, 1659, 1644])).
% 4.22/4.38 tff(1707,plain,
% 4.22/4.38 ($false),
% 4.22/4.38 inference(unit_resolution,[status(thm)],[1706, 1684, 1675, 1667, 1631, 1699])).
% 4.22/4.38 tff(1708,plain,(m_processor_v_CMD(c_p0, s0, c_read_h_owned) | (~node34(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_shared) | m_processor_v_state(c_p0, s1, c_invalid) | node33(c_p0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.38 tff(1709,plain,
% 4.22/4.38 (~node34(c_p0, s0, s1)),
% 4.22/4.38 inference(unit_resolution,[status(thm)],[1708, 1658, 1631, 1642, 1644])).
% 4.22/4.38 tff(1710,assumption,(~node37(c_p0, s0, s1)), introduced(assumption)).
% 4.22/4.38 tff(1711,assumption,(~node34(c_p0, s0, s1)), introduced(assumption)).
% 4.22/4.38 tff(1712,plain,
% 4.22/4.38 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s0)) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0) | node34(c_p0, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s0)) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0) | node34(c_p0, s0, s1))),
% 4.22/4.38 inference(rewrite,[status(thm)],[])).
% 4.22/4.38 tff(1713,plain,
% 4.22/4.38 ((node34(c_p0, s0, s1) | (~m_processor_v_master(c_p0, s0)) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0)) <=> ((~m_processor_v_master(c_p0, s0)) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0) | node34(c_p0, s0, s1))),
% 4.22/4.38 inference(rewrite,[status(thm)],[])).
% 4.22/4.38 tff(1714,plain,
% 4.22/4.38 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s0, s1) | (~m_processor_v_master(c_p0, s0)) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s0)) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0) | node34(c_p0, s0, s1)))),
% 4.22/4.38 inference(monotonicity,[status(thm)],[1713])).
% 4.22/4.38 tff(1715,plain,
% 4.22/4.38 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s0, s1) | (~m_processor_v_master(c_p0, s0)) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s0)) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0) | node34(c_p0, s0, s1))),
% 4.22/4.38 inference(transitivity,[status(thm)],[1714, 1712])).
% 4.22/4.38 tff(1716,plain,
% 4.22/4.38 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s0, s1) | (~m_processor_v_master(c_p0, s0)) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0))),
% 4.22/4.38 inference(quant_inst,[status(thm)],[])).
% 4.22/4.38 tff(1717,plain,
% 4.22/4.38 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s0)) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0) | node34(c_p0, s0, s1)),
% 4.22/4.38 inference(modus_ponens,[status(thm)],[1716, 1715])).
% 4.22/4.38 tff(1718,plain,
% 4.22/4.38 ((~m_processor_v_master(c_p0, s0)) | m_processor_v_abort(c_p0, s0) | node34(c_p0, s0, s1)),
% 4.22/4.38 inference(unit_resolution,[status(thm)],[1717, 640, 1543])).
% 4.22/4.38 tff(1719,plain,
% 4.22/4.38 (~m_processor_v_master(c_p0, s0)),
% 4.22/4.38 inference(unit_resolution,[status(thm)],[1718, 1583, 1711])).
% 4.22/4.38 tff(1720,plain,
% 4.22/4.38 ($false),
% 4.22/4.38 inference(unit_resolution,[status(thm)],[1562, 1719, 1583, 1710])).
% 4.22/4.38 tff(1721,plain,(m_processor_v_abort(c_p0, s0) | node37(c_p0, s0, s1) | node34(c_p0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.38 tff(1722,plain,
% 4.22/4.38 (m_processor_v_abort(c_p0, s0)),
% 4.22/4.38 inference(unit_resolution,[status(thm)],[1721, 1709, 1618])).
% 4.22/4.38 tff(1723,plain,
% 4.22/4.38 ($false),
% 4.22/4.38 inference(unit_resolution,[status(thm)],[1550, 1722, 1643])).
% 4.22/4.38 tff(1724,plain,(m_processor_v_state(c_p0, s1, c_shared) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | (~m_processor_v_state(c_p0, s1, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.22/4.38 tff(1725,plain,
% 4.22/4.38 ($false),
% 4.22/4.38 inference(unit_resolution,[status(thm)],[1724, 1641, 1602, 1631])).
% 4.22/4.38 tff(1726,plain,((~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_CMD(c_p0, s0, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.38 tff(1727,plain,
% 4.22/4.38 (m_processor_v_CMD(c_p0, s0, c_read_h_owned)),
% 4.22/4.38 inference(unit_resolution,[status(thm)],[1726, 1602])).
% 4.22/4.38 tff(1728,assumption,(m_processor_v_CMD(c_p0, s0, c_read_h_owned)), introduced(assumption)).
% 4.22/4.38 tff(1729,assumption,(~node2(s0)), introduced(assumption)).
% 4.22/4.38 tff(1730,plain,
% 4.22/4.38 (^[X: $i] : refl(node2(X) <=> node2(X))),
% 4.22/4.38 inference(bind,[status(th)],[])).
% 4.22/4.38 tff(1731,plain,
% 4.22/4.38 (![X: $i] : node2(X) <=> ![X: $i] : node2(X)),
% 4.22/4.38 inference(quant_intro,[status(thm)],[1730])).
% 4.22/4.38 tff(1732,plain,
% 4.22/4.38 (![X: $i] : node2(X) <=> ![X: $i] : node2(X)),
% 4.22/4.38 inference(rewrite,[status(thm)],[])).
% 4.22/4.38 tff(1733,axiom,(![X: $i] : node2(X)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_49')).
% 4.22/4.38 tff(1734,plain,
% 4.22/4.38 (![X: $i] : node2(X)),
% 4.22/4.38 inference(modus_ponens,[status(thm)],[1733, 1732])).
% 4.22/4.38 tff(1735,plain,(
% 4.22/4.38 ![X: $i] : node2(X)),
% 4.22/4.38 inference(skolemize,[status(sab)],[1734])).
% 4.22/4.38 tff(1736,plain,
% 4.22/4.38 (![X: $i] : node2(X)),
% 4.22/4.38 inference(modus_ponens,[status(thm)],[1735, 1731])).
% 4.22/4.38 tff(1737,plain,
% 4.22/4.38 ((~![X: $i] : node2(X)) | node2(s0)),
% 4.22/4.38 inference(quant_inst,[status(thm)],[])).
% 4.22/4.38 tff(1738,plain,
% 4.22/4.38 ($false),
% 4.22/4.38 inference(unit_resolution,[status(thm)],[1737, 1736, 1729])).
% 4.22/4.38 tff(1739,plain,(node2(s0)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.38 tff(1740,plain,
% 4.22/4.38 (^[V: $i, X: $i] : refl((m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V))) <=> (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V))))),
% 4.22/4.38 inference(bind,[status(th)],[])).
% 4.22/4.38 tff(1741,plain,
% 4.22/4.38 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))),
% 4.22/4.38 inference(quant_intro,[status(thm)],[1740])).
% 4.22/4.38 tff(1742,plain,
% 4.22/4.38 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))),
% 4.22/4.38 inference(rewrite,[status(thm)],[])).
% 4.22/4.38 tff(1743,plain,
% 4.22/4.38 (^[V: $i, X: $i] : rewrite((((~m_processor_v_CMD(c_p0, X, V)) | m_main_v_CMD(X, V)) | (~node2(X))) <=> (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V))))),
% 4.22/4.39 inference(bind,[status(th)],[])).
% 4.22/4.39 tff(1744,plain,
% 4.22/4.39 (![V: $i, X: $i] : (((~m_processor_v_CMD(c_p0, X, V)) | m_main_v_CMD(X, V)) | (~node2(X))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))),
% 4.22/4.39 inference(quant_intro,[status(thm)],[1743])).
% 4.22/4.39 tff(1745,axiom,(![V: $i, X: $i] : (((~m_processor_v_CMD(c_p0, X, V)) | m_main_v_CMD(X, V)) | (~node2(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_48')).
% 4.22/4.39 tff(1746,plain,
% 4.22/4.39 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))),
% 4.22/4.39 inference(modus_ponens,[status(thm)],[1745, 1744])).
% 4.22/4.39 tff(1747,plain,
% 4.22/4.39 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))),
% 4.22/4.39 inference(modus_ponens,[status(thm)],[1746, 1742])).
% 4.22/4.39 tff(1748,plain,(
% 4.22/4.39 ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))),
% 4.22/4.39 inference(skolemize,[status(sab)],[1747])).
% 4.22/4.39 tff(1749,plain,
% 4.22/4.39 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))),
% 4.22/4.39 inference(modus_ponens,[status(thm)],[1748, 1741])).
% 4.22/4.39 tff(1750,plain,
% 4.22/4.39 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node2(s0)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s0, c_read_h_owned) | (~node2(s0)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)))),
% 4.22/4.39 inference(rewrite,[status(thm)],[])).
% 4.22/4.39 tff(1751,plain,
% 4.22/4.39 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node2(s0)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)))),
% 4.22/4.39 inference(quant_inst,[status(thm)],[])).
% 4.22/4.39 tff(1752,plain,
% 4.22/4.39 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s0, c_read_h_owned) | (~node2(s0)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned))),
% 4.22/4.39 inference(modus_ponens,[status(thm)],[1751, 1750])).
% 4.22/4.39 tff(1753,plain,
% 4.22/4.39 ($false),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1752, 1749, 1739, 1728, 1002])).
% 4.22/4.39 tff(1754,plain,((~m_processor_v_CMD(c_p0, s0, c_read_h_owned)) | m_main_v_CMD(s0, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.39 tff(1755,plain,
% 4.22/4.39 (m_main_v_CMD(s0, c_read_h_owned)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1754, 1727])).
% 4.22/4.39 tff(1756,plain,
% 4.22/4.39 (m_memory_v_CMD(c_m, s0, c_read_h_owned)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[627, 1755])).
% 4.22/4.39 tff(1757,plain,
% 4.22/4.39 (~node20(c_m, s0)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[598, 1756])).
% 4.22/4.39 tff(1758,plain,
% 4.22/4.39 (m_memory_v_abort(c_m, s0)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[217, 1757, 4, 1630, 1629])).
% 4.22/4.39 tff(1759,plain,
% 4.22/4.39 (m_memory_v_REPLY_h_STALL(c_m, s0)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[481, 1758])).
% 4.22/4.39 tff(1760,plain,
% 4.22/4.39 (m_main_v_REPLY_h_STALL(s0)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[578, 1759])).
% 4.22/4.39 tff(1761,plain,
% 4.22/4.39 (m_processor_v_REPLY_h_STALL(c_p0, s0)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[560, 1760])).
% 4.22/4.39 tff(1762,plain,
% 4.22/4.39 (~node60(c_p0, s0)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1595, 1761])).
% 4.22/4.39 tff(1763,plain,
% 4.22/4.39 (m_processor_v_abort(c_p0, s0)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1588, 1762])).
% 4.22/4.39 tff(1764,plain,
% 4.22/4.39 (node32(c_p0, s0, s1)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1550, 1763])).
% 4.22/4.39 tff(1765,plain,
% 4.22/4.39 (m_processor_v_state(c_p0, s1, c_invalid)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1536, 1764])).
% 4.22/4.39 tff(1766,plain,
% 4.22/4.39 ($false),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1624, 228, 1765, 1602])).
% 4.22/4.39 tff(1767,plain,((~m_processor_v_state(c_p0, s1, c_owned)) | m_memory_v_busy(c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.39 tff(1768,plain,
% 4.22/4.39 (~m_processor_v_state(c_p0, s1, c_owned)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1767, 4])).
% 4.22/4.39 tff(1769,assumption,(m_processor_v_state(c_p0, s2, c_owned)), introduced(assumption)).
% 4.22/4.39 tff(1770,assumption,(~m_processor_v_state(c_p1, s2, c_shared)), introduced(assumption)).
% 4.22/4.39 tff(1771,plain,
% 4.22/4.39 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid)) <=> (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid)))),
% 4.22/4.39 inference(bind,[status(th)],[])).
% 4.22/4.39 tff(1772,plain,
% 4.22/4.39 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid)) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))),
% 4.22/4.39 inference(quant_intro,[status(thm)],[1771])).
% 4.22/4.39 tff(1773,plain,
% 4.22/4.39 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid)) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))),
% 4.22/4.39 inference(rewrite,[status(thm)],[])).
% 4.22/4.39 tff(1774,plain,
% 4.22/4.39 (^[I0: $i, X: $i] : rewrite(((m_processor_v_state(I0, X, c_invalid) | m_processor_v_state(I0, X, c_shared)) | m_processor_v_state(I0, X, c_owned)) <=> (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid)))),
% 4.22/4.39 inference(bind,[status(th)],[])).
% 4.22/4.39 tff(1775,plain,
% 4.22/4.39 (![I0: $i, X: $i] : ((m_processor_v_state(I0, X, c_invalid) | m_processor_v_state(I0, X, c_shared)) | m_processor_v_state(I0, X, c_owned)) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))),
% 4.22/4.39 inference(quant_intro,[status(thm)],[1774])).
% 4.22/4.39 tff(1776,axiom,(![I0: $i, X: $i] : ((m_processor_v_state(I0, X, c_invalid) | m_processor_v_state(I0, X, c_shared)) | m_processor_v_state(I0, X, c_owned))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_42')).
% 4.22/4.39 tff(1777,plain,
% 4.22/4.39 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))),
% 4.22/4.39 inference(modus_ponens,[status(thm)],[1776, 1775])).
% 4.22/4.39 tff(1778,plain,
% 4.22/4.39 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))),
% 4.22/4.39 inference(modus_ponens,[status(thm)],[1777, 1773])).
% 4.22/4.39 tff(1779,plain,(
% 4.22/4.39 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))),
% 4.22/4.39 inference(skolemize,[status(sab)],[1778])).
% 4.22/4.39 tff(1780,plain,
% 4.22/4.39 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))),
% 4.22/4.39 inference(modus_ponens,[status(thm)],[1779, 1772])).
% 4.22/4.39 tff(1781,plain,
% 4.22/4.39 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s2, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s2, c_invalid))),
% 4.22/4.39 inference(rewrite,[status(thm)],[])).
% 4.22/4.39 tff(1782,plain,
% 4.22/4.39 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s2, c_invalid))),
% 4.22/4.39 inference(quant_inst,[status(thm)],[])).
% 4.22/4.39 tff(1783,plain,
% 4.22/4.39 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s2, c_invalid)),
% 4.22/4.39 inference(modus_ponens,[status(thm)],[1782, 1781])).
% 4.22/4.39 tff(1784,plain,
% 4.22/4.39 ($false),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1783, 1780, 1515, 1770, 3])).
% 4.22/4.39 tff(1785,plain,(m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_state(c_p1, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.39 tff(1786,plain,
% 4.22/4.39 (m_processor_v_state(c_p1, s2, c_shared)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1785, 1515, 3])).
% 4.22/4.39 tff(1787,plain,
% 4.22/4.39 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_state(c_p0, s1, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_state(c_p0, s1, c_shared)))),
% 4.22/4.39 inference(rewrite,[status(thm)],[])).
% 4.22/4.39 tff(1788,plain,
% 4.22/4.39 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_state(c_p0, s1, c_shared)))),
% 4.22/4.39 inference(quant_inst,[status(thm)],[])).
% 4.22/4.39 tff(1789,plain,
% 4.22/4.39 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_state(c_p0, s1, c_shared))),
% 4.22/4.39 inference(modus_ponens,[status(thm)],[1788, 1787])).
% 4.22/4.39 tff(1790,plain,
% 4.22/4.39 (~m_processor_v_state(c_p0, s1, c_shared)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1789, 107, 1601])).
% 4.22/4.39 tff(1791,assumption,(~m_processor_v_master(c_p0, s1)), introduced(assumption)).
% 4.22/4.39 tff(1792,plain,
% 4.22/4.39 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s1, c_shared) | (~node36(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node36(c_p0, s1)))),
% 4.22/4.39 inference(rewrite,[status(thm)],[])).
% 4.22/4.39 tff(1793,plain,
% 4.22/4.39 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s1, c_shared) | (~node36(c_p0, s1)))),
% 4.22/4.39 inference(quant_inst,[status(thm)],[])).
% 4.22/4.39 tff(1794,plain,
% 4.22/4.39 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node36(c_p0, s1))),
% 4.22/4.39 inference(modus_ponens,[status(thm)],[1793, 1792])).
% 4.22/4.39 tff(1795,plain,
% 4.22/4.39 (~node36(c_p0, s1)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1794, 118, 1644])).
% 4.22/4.39 tff(1796,assumption,(~m_processor_v_state(c_p0, s1, c_owned)), introduced(assumption)).
% 4.22/4.39 tff(1797,plain,
% 4.22/4.39 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~node37(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~node37(c_p0, s1, s2)))),
% 4.22/4.39 inference(rewrite,[status(thm)],[])).
% 4.22/4.39 tff(1798,plain,
% 4.22/4.39 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~node37(c_p0, s1, s2)))),
% 4.22/4.39 inference(quant_inst,[status(thm)],[])).
% 4.22/4.39 tff(1799,plain,
% 4.22/4.39 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~node37(c_p0, s1, s2))),
% 4.22/4.39 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 4.22/4.39 tff(1800,plain,
% 4.22/4.39 (~node37(c_p0, s1, s2)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1799, 1612, 1796, 1769])).
% 4.22/4.39 tff(1801,assumption,(~node38(c_p0, s1, s2)), introduced(assumption)).
% 4.22/4.39 tff(1802,plain,
% 4.22/4.39 (succ(s1, s2) <=> succ(s1, s2)),
% 4.22/4.39 inference(rewrite,[status(thm)],[])).
% 4.22/4.39 tff(1803,axiom,(succ(s1, s2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound2')).
% 4.22/4.39 tff(1804,plain,
% 4.22/4.39 (succ(s1, s2)),
% 4.22/4.39 inference(modus_ponens,[status(thm)],[1803, 1802])).
% 4.22/4.39 tff(1805,plain,
% 4.22/4.39 (((~![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))),
% 4.22/4.39 inference(rewrite,[status(thm)],[])).
% 4.22/4.39 tff(1806,plain,
% 4.22/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))),
% 4.22/4.39 inference(quant_inst,[status(thm)],[])).
% 4.22/4.39 tff(1807,plain,
% 4.22/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2)),
% 4.22/4.39 inference(modus_ponens,[status(thm)],[1806, 1805])).
% 4.22/4.39 tff(1808,plain,
% 4.22/4.39 (trans(s1, s2)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1807, 1804, 47])).
% 4.22/4.39 tff(1809,plain,
% 4.22/4.39 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s1, s2)) | node38(c_p0, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s1, s2)) | node38(c_p0, s1, s2))),
% 4.22/4.39 inference(rewrite,[status(thm)],[])).
% 4.22/4.39 tff(1810,plain,
% 4.22/4.39 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s1, s2)) | node38(c_p0, s1, s2))),
% 4.22/4.39 inference(quant_inst,[status(thm)],[])).
% 4.22/4.39 tff(1811,plain,
% 4.22/4.39 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s1, s2)) | node38(c_p0, s1, s2)),
% 4.22/4.39 inference(modus_ponens,[status(thm)],[1810, 1809])).
% 4.22/4.39 tff(1812,plain,
% 4.22/4.39 ($false),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1811, 61, 1808, 1801])).
% 4.22/4.39 tff(1813,plain,(node38(c_p0, s1, s2)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.39 tff(1814,plain,
% 4.22/4.39 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | node37(c_p0, s1, s2) | (~node38(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | node37(c_p0, s1, s2) | (~node38(c_p0, s1, s2)))),
% 4.22/4.39 inference(rewrite,[status(thm)],[])).
% 4.22/4.39 tff(1815,plain,
% 4.22/4.39 ((m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_master(c_p0, s1) | node37(c_p0, s1, s2) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1)) <=> (m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | node37(c_p0, s1, s2) | (~node38(c_p0, s1, s2)))),
% 4.22/4.39 inference(rewrite,[status(thm)],[])).
% 4.22/4.39 tff(1816,plain,
% 4.22/4.39 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_master(c_p0, s1) | node37(c_p0, s1, s2) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | node37(c_p0, s1, s2) | (~node38(c_p0, s1, s2))))),
% 4.22/4.39 inference(monotonicity,[status(thm)],[1815])).
% 4.22/4.39 tff(1817,plain,
% 4.22/4.39 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_master(c_p0, s1) | node37(c_p0, s1, s2) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | node37(c_p0, s1, s2) | (~node38(c_p0, s1, s2)))),
% 4.22/4.39 inference(transitivity,[status(thm)],[1816, 1814])).
% 4.22/4.39 tff(1818,plain,
% 4.22/4.39 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_master(c_p0, s1) | node37(c_p0, s1, s2) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))),
% 4.22/4.39 inference(quant_inst,[status(thm)],[])).
% 4.22/4.39 tff(1819,plain,
% 4.22/4.39 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | node37(c_p0, s1, s2) | (~node38(c_p0, s1, s2))),
% 4.22/4.39 inference(modus_ponens,[status(thm)],[1818, 1817])).
% 4.22/4.39 tff(1820,plain,
% 4.22/4.39 (m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | node37(c_p0, s1, s2)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1819, 134, 1813])).
% 4.22/4.39 tff(1821,plain,
% 4.22/4.39 (m_processor_v_abort(c_p0, s1)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1820, 1800, 1644, 1795, 1791])).
% 4.22/4.39 tff(1822,plain,
% 4.22/4.39 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1)) | (~node38(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1)) | (~node38(c_p0, s1, s2)))),
% 4.22/4.39 inference(rewrite,[status(thm)],[])).
% 4.22/4.39 tff(1823,plain,
% 4.22/4.39 ((node32(c_p0, s1, s2) | (~node38(c_p0, s1, s2)) | (~m_processor_v_abort(c_p0, s1))) <=> (node32(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1)) | (~node38(c_p0, s1, s2)))),
% 4.22/4.39 inference(rewrite,[status(thm)],[])).
% 4.22/4.39 tff(1824,plain,
% 4.22/4.39 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s1, s2) | (~node38(c_p0, s1, s2)) | (~m_processor_v_abort(c_p0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1)) | (~node38(c_p0, s1, s2))))),
% 4.22/4.39 inference(monotonicity,[status(thm)],[1823])).
% 4.22/4.39 tff(1825,plain,
% 4.22/4.39 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s1, s2) | (~node38(c_p0, s1, s2)) | (~m_processor_v_abort(c_p0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1)) | (~node38(c_p0, s1, s2)))),
% 4.22/4.39 inference(transitivity,[status(thm)],[1824, 1822])).
% 4.22/4.39 tff(1826,plain,
% 4.22/4.39 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s1, s2) | (~node38(c_p0, s1, s2)) | (~m_processor_v_abort(c_p0, s1)))),
% 4.22/4.39 inference(quant_inst,[status(thm)],[])).
% 4.22/4.39 tff(1827,plain,
% 4.22/4.39 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1)) | (~node38(c_p0, s1, s2))),
% 4.22/4.39 inference(modus_ponens,[status(thm)],[1826, 1825])).
% 4.22/4.39 tff(1828,plain,
% 4.22/4.39 (node32(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1))),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1827, 76, 1813])).
% 4.22/4.39 tff(1829,plain,
% 4.22/4.39 (node32(c_p0, s1, s2)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1828, 1821])).
% 4.22/4.39 tff(1830,plain,
% 4.22/4.39 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_owned)))),
% 4.22/4.39 inference(rewrite,[status(thm)],[])).
% 4.22/4.39 tff(1831,plain,
% 4.22/4.39 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_owned)))),
% 4.22/4.39 inference(quant_inst,[status(thm)],[])).
% 4.22/4.39 tff(1832,plain,
% 4.22/4.39 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_owned))),
% 4.22/4.39 inference(modus_ponens,[status(thm)],[1831, 1830])).
% 4.22/4.39 tff(1833,plain,
% 4.22/4.39 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1832, 228, 1769])).
% 4.22/4.39 tff(1834,assumption,(m_processor_v_state(c_p0, s1, c_invalid)), introduced(assumption)).
% 4.22/4.39 tff(1835,plain,
% 4.22/4.39 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node32(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node32(c_p0, s1, s2)))),
% 4.22/4.39 inference(rewrite,[status(thm)],[])).
% 4.22/4.39 tff(1836,plain,
% 4.22/4.39 (((~node32(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid)) <=> ((~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node32(c_p0, s1, s2)))),
% 4.22/4.39 inference(rewrite,[status(thm)],[])).
% 4.22/4.39 tff(1837,plain,
% 4.22/4.39 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node32(c_p0, s1, s2))))),
% 4.22/4.39 inference(monotonicity,[status(thm)],[1836])).
% 4.22/4.39 tff(1838,plain,
% 4.22/4.39 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node32(c_p0, s1, s2)))),
% 4.22/4.39 inference(transitivity,[status(thm)],[1837, 1835])).
% 4.22/4.39 tff(1839,plain,
% 4.22/4.39 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid))),
% 4.22/4.39 inference(quant_inst,[status(thm)],[])).
% 4.22/4.39 tff(1840,plain,
% 4.22/4.39 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node32(c_p0, s1, s2))),
% 4.22/4.39 inference(modus_ponens,[status(thm)],[1839, 1838])).
% 4.22/4.39 tff(1841,plain,
% 4.22/4.39 ($false),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1840, 28, 1834, 1833, 1829])).
% 4.22/4.39 tff(1842,plain,((~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s1, c_shared) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s1, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.39 tff(1843,plain,
% 4.22/4.39 (m_processor_v_master(c_p0, s1)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1842, 1790, 1769, 1768, 1601])).
% 4.22/4.39 tff(1844,assumption,(m_processor_v_master(c_p1, s1)), introduced(assumption)).
% 4.22/4.39 tff(1845,assumption,(m_processor_v_master(c_p0, s1)), introduced(assumption)).
% 4.22/4.39 tff(1846,plain,
% 4.22/4.39 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_master(c_p1, s1)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s1)) | (~m_processor_v_master(c_p1, s1)))),
% 4.22/4.39 inference(rewrite,[status(thm)],[])).
% 4.22/4.39 tff(1847,plain,
% 4.22/4.39 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_master(c_p1, s1)))),
% 4.22/4.39 inference(quant_inst,[status(thm)],[])).
% 4.22/4.39 tff(1848,plain,
% 4.22/4.39 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s1)) | (~m_processor_v_master(c_p1, s1))),
% 4.22/4.39 inference(modus_ponens,[status(thm)],[1847, 1846])).
% 4.22/4.39 tff(1849,plain,
% 4.22/4.39 ($false),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1848, 815, 1845, 1844])).
% 4.22/4.39 tff(1850,plain,((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_master(c_p1, s1))), inference(lemma,lemma(discharge,[]))).
% 4.22/4.39 tff(1851,plain,
% 4.22/4.39 (~m_processor_v_master(c_p1, s1)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1850, 1843])).
% 4.22/4.39 tff(1852,plain,
% 4.22/4.39 (~m_processor_v_state(c_p1, s1, c_shared)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1513, 1508])).
% 4.22/4.39 tff(1853,assumption,(~m_processor_v_master(c_p1, s1)), introduced(assumption)).
% 4.22/4.39 tff(1854,plain,
% 4.22/4.39 (m_processor_v_state(c_p1, s2, c_shared)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1785, 3, 1515])).
% 4.22/4.39 tff(1855,assumption,(node37(c_p1, s1, s2)), introduced(assumption)).
% 4.22/4.39 tff(1856,assumption,(m_processor_v_state(c_p1, s2, c_shared)), introduced(assumption)).
% 4.22/4.39 tff(1857,plain,
% 4.22/4.39 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_state(c_p1, s2, c_shared)) | (~node37(c_p1, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_state(c_p1, s2, c_shared)) | (~node37(c_p1, s1, s2)))),
% 4.22/4.39 inference(rewrite,[status(thm)],[])).
% 4.22/4.39 tff(1858,plain,
% 4.22/4.39 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_state(c_p1, s2, c_shared)) | (~node37(c_p1, s1, s2)))),
% 4.22/4.39 inference(quant_inst,[status(thm)],[])).
% 4.22/4.39 tff(1859,plain,
% 4.22/4.39 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_state(c_p1, s2, c_shared)) | (~node37(c_p1, s1, s2))),
% 4.22/4.39 inference(modus_ponens,[status(thm)],[1858, 1857])).
% 4.22/4.39 tff(1860,plain,
% 4.22/4.39 ($false),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1859, 1612, 1856, 1855, 1383])).
% 4.22/4.39 tff(1861,plain,((~m_processor_v_state(c_p1, s2, c_shared)) | (~node37(c_p1, s1, s2)) | m_processor_v_state(c_p1, s1, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.39 tff(1862,plain,
% 4.22/4.39 (~node37(c_p1, s1, s2)),
% 4.22/4.39 inference(unit_resolution,[status(thm)],[1861, 1854, 1852])).
% 4.22/4.39 tff(1863,assumption,(~m_processor_v_abort(c_p1, s1)), introduced(assumption)).
% 4.22/4.39 tff(1864,plain,
% 4.22/4.39 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~node36(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s1, c_shared) | (~node36(c_p1, s1)))),
% 4.22/4.40 inference(rewrite,[status(thm)],[])).
% 4.22/4.40 tff(1865,plain,
% 4.22/4.40 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~node36(c_p1, s1)))),
% 4.22/4.40 inference(quant_inst,[status(thm)],[])).
% 4.22/4.40 tff(1866,plain,
% 4.22/4.40 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s1, c_shared) | (~node36(c_p1, s1))),
% 4.22/4.40 inference(modus_ponens,[status(thm)],[1865, 1864])).
% 4.22/4.40 tff(1867,plain,
% 4.22/4.40 (~node36(c_p1, s1)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1866, 118, 1383])).
% 4.22/4.40 tff(1868,assumption,(~node37(c_p1, s1, s2)), introduced(assumption)).
% 4.22/4.40 tff(1869,assumption,(~node38(c_p1, s1, s2)), introduced(assumption)).
% 4.22/4.40 tff(1870,plain,
% 4.22/4.40 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s1, s2)) | node38(c_p1, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s1, s2)) | node38(c_p1, s1, s2))),
% 4.22/4.40 inference(rewrite,[status(thm)],[])).
% 4.22/4.40 tff(1871,plain,
% 4.22/4.40 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s1, s2)) | node38(c_p1, s1, s2))),
% 4.22/4.40 inference(quant_inst,[status(thm)],[])).
% 4.22/4.40 tff(1872,plain,
% 4.22/4.40 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s1, s2)) | node38(c_p1, s1, s2)),
% 4.22/4.40 inference(modus_ponens,[status(thm)],[1871, 1870])).
% 4.22/4.40 tff(1873,plain,
% 4.22/4.40 ($false),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1872, 61, 1808, 1869])).
% 4.22/4.40 tff(1874,plain,(node38(c_p1, s1, s2)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.40 tff(1875,plain,
% 4.22/4.40 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | m_processor_v_abort(c_p1, s1) | node37(c_p1, s1, s2) | (~node38(c_p1, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | m_processor_v_abort(c_p1, s1) | node37(c_p1, s1, s2) | (~node38(c_p1, s1, s2)))),
% 4.22/4.40 inference(rewrite,[status(thm)],[])).
% 4.22/4.40 tff(1876,plain,
% 4.22/4.40 ((m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | m_processor_v_master(c_p1, s1) | node37(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1)) <=> (m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | m_processor_v_abort(c_p1, s1) | node37(c_p1, s1, s2) | (~node38(c_p1, s1, s2)))),
% 4.22/4.40 inference(rewrite,[status(thm)],[])).
% 4.22/4.40 tff(1877,plain,
% 4.22/4.40 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | m_processor_v_master(c_p1, s1) | node37(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | m_processor_v_abort(c_p1, s1) | node37(c_p1, s1, s2) | (~node38(c_p1, s1, s2))))),
% 4.22/4.40 inference(monotonicity,[status(thm)],[1876])).
% 4.22/4.40 tff(1878,plain,
% 4.22/4.40 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | m_processor_v_master(c_p1, s1) | node37(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | m_processor_v_abort(c_p1, s1) | node37(c_p1, s1, s2) | (~node38(c_p1, s1, s2)))),
% 4.22/4.40 inference(transitivity,[status(thm)],[1877, 1875])).
% 4.22/4.40 tff(1879,plain,
% 4.22/4.40 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | m_processor_v_master(c_p1, s1) | node37(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))),
% 4.22/4.40 inference(quant_inst,[status(thm)],[])).
% 4.22/4.40 tff(1880,plain,
% 4.22/4.40 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | m_processor_v_abort(c_p1, s1) | node37(c_p1, s1, s2) | (~node38(c_p1, s1, s2))),
% 4.22/4.40 inference(modus_ponens,[status(thm)],[1879, 1878])).
% 4.22/4.40 tff(1881,plain,
% 4.22/4.40 ($false),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1880, 134, 1874, 1853, 1868, 1383, 1867, 1863])).
% 4.22/4.40 tff(1882,plain,(m_processor_v_abort(c_p1, s1) | m_processor_v_master(c_p1, s1) | node37(c_p1, s1, s2) | m_processor_v_state(c_p1, s1, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.40 tff(1883,plain,
% 4.22/4.40 (m_processor_v_abort(c_p1, s1)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1882, 1862, 1853, 1852])).
% 4.22/4.40 tff(1884,assumption,(~node32(c_p1, s1, s2)), introduced(assumption)).
% 4.22/4.40 tff(1885,assumption,(m_processor_v_abort(c_p1, s1)), introduced(assumption)).
% 4.22/4.40 tff(1886,plain,
% 4.22/4.40 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~node38(c_p1, s1, s2)) | (~m_processor_v_abort(c_p1, s1)) | node32(c_p1, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~node38(c_p1, s1, s2)) | (~m_processor_v_abort(c_p1, s1)) | node32(c_p1, s1, s2))),
% 4.22/4.40 inference(rewrite,[status(thm)],[])).
% 4.22/4.40 tff(1887,plain,
% 4.22/4.40 ((node32(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | (~m_processor_v_abort(c_p1, s1))) <=> ((~node38(c_p1, s1, s2)) | (~m_processor_v_abort(c_p1, s1)) | node32(c_p1, s1, s2))),
% 4.22/4.40 inference(rewrite,[status(thm)],[])).
% 4.22/4.40 tff(1888,plain,
% 4.22/4.40 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | (~m_processor_v_abort(c_p1, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~node38(c_p1, s1, s2)) | (~m_processor_v_abort(c_p1, s1)) | node32(c_p1, s1, s2)))),
% 4.22/4.40 inference(monotonicity,[status(thm)],[1887])).
% 4.22/4.40 tff(1889,plain,
% 4.22/4.40 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | (~m_processor_v_abort(c_p1, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~node38(c_p1, s1, s2)) | (~m_processor_v_abort(c_p1, s1)) | node32(c_p1, s1, s2))),
% 4.22/4.40 inference(transitivity,[status(thm)],[1888, 1886])).
% 4.22/4.40 tff(1890,plain,
% 4.22/4.40 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | (~m_processor_v_abort(c_p1, s1)))),
% 4.22/4.40 inference(quant_inst,[status(thm)],[])).
% 4.22/4.40 tff(1891,plain,
% 4.22/4.40 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~node38(c_p1, s1, s2)) | (~m_processor_v_abort(c_p1, s1)) | node32(c_p1, s1, s2)),
% 4.22/4.40 inference(modus_ponens,[status(thm)],[1890, 1889])).
% 4.22/4.40 tff(1892,plain,
% 4.22/4.40 ($false),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1891, 76, 1874, 1885, 1884])).
% 4.22/4.40 tff(1893,plain,(node32(c_p1, s1, s2) | (~m_processor_v_abort(c_p1, s1))), inference(lemma,lemma(discharge,[]))).
% 4.22/4.40 tff(1894,plain,
% 4.22/4.40 (node32(c_p1, s1, s2)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1893, 1883])).
% 4.22/4.40 tff(1895,plain,
% 4.22/4.40 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid) | (~node32(c_p1, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid) | (~node32(c_p1, s1, s2)))),
% 4.22/4.40 inference(rewrite,[status(thm)],[])).
% 4.22/4.40 tff(1896,plain,
% 4.22/4.40 (((~node32(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid)) <=> ((~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid) | (~node32(c_p1, s1, s2)))),
% 4.22/4.40 inference(rewrite,[status(thm)],[])).
% 4.22/4.40 tff(1897,plain,
% 4.22/4.40 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid) | (~node32(c_p1, s1, s2))))),
% 4.22/4.40 inference(monotonicity,[status(thm)],[1896])).
% 4.22/4.40 tff(1898,plain,
% 4.22/4.40 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid) | (~node32(c_p1, s1, s2)))),
% 4.22/4.40 inference(transitivity,[status(thm)],[1897, 1895])).
% 4.22/4.40 tff(1899,plain,
% 4.22/4.40 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid))),
% 4.22/4.40 inference(quant_inst,[status(thm)],[])).
% 4.22/4.40 tff(1900,plain,
% 4.22/4.40 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid) | (~node32(c_p1, s1, s2))),
% 4.22/4.40 inference(modus_ponens,[status(thm)],[1899, 1898])).
% 4.22/4.40 tff(1901,plain,
% 4.22/4.40 ($false),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1900, 28, 3, 1508, 1894])).
% 4.22/4.40 tff(1902,plain,(m_processor_v_state(c_p1, s2, c_invalid) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.40 tff(1903,plain,
% 4.22/4.40 (~m_processor_v_state(c_p1, s1, c_invalid)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1902, 1851, 3, 1515])).
% 4.22/4.40 tff(1904,plain,
% 4.22/4.40 (m_processor_v_master(c_p1, s0)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[142, 1903])).
% 4.22/4.40 tff(1905,plain,
% 4.22/4.40 (~node17(s0)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[157, 1904])).
% 4.22/4.40 tff(1906,plain,
% 4.22/4.40 (~m_memory_v_master(c_m, s0)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[172, 1905])).
% 4.22/4.40 tff(1907,plain,
% 4.22/4.40 (m_memory_v_abort(c_m, s0)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[219, 1906, 4, 6])).
% 4.22/4.40 tff(1908,plain,
% 4.22/4.40 (m_memory_v_REPLY_h_STALL(c_m, s0)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[481, 1907])).
% 4.22/4.40 tff(1909,plain,
% 4.22/4.40 (~node32(c_p1, s0, s1)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[36, 1903])).
% 4.22/4.40 tff(1910,plain,
% 4.22/4.40 (~m_processor_v_abort(c_p1, s0)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[84, 1909])).
% 4.22/4.40 tff(1911,plain,
% 4.22/4.40 (node60(c_p1, s0)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[496, 1910])).
% 4.22/4.40 tff(1912,plain,
% 4.22/4.40 (~m_processor_v_REPLY_h_STALL(c_p0, s0)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[543, 1911])).
% 4.22/4.40 tff(1913,plain,
% 4.22/4.40 (~m_main_v_REPLY_h_STALL(s0)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[560, 1912])).
% 4.22/4.40 tff(1914,plain,
% 4.22/4.40 ($false),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[578, 1913, 1908])).
% 4.22/4.40 tff(1915,plain,(node20(c_m, s0) | m_memory_v_busy(c_m, s1) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.22/4.40 tff(1916,plain,
% 4.22/4.40 (node20(c_m, s0)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1915, 1515, 3, 4, 1769])).
% 4.22/4.40 tff(1917,plain,
% 4.22/4.40 (~m_memory_v_CMD(c_m, s0, c_read_h_shared)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1358, 1916])).
% 4.22/4.40 tff(1918,plain,
% 4.22/4.40 (~m_main_v_CMD(s0, c_read_h_shared)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1341, 1917])).
% 4.22/4.40 tff(1919,plain,
% 4.22/4.40 (~m_memory_v_CMD(c_m, s0, c_read_h_owned)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[598, 1916])).
% 4.22/4.40 tff(1920,plain,
% 4.22/4.40 (~m_main_v_CMD(s0, c_read_h_owned)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[627, 1919])).
% 4.22/4.40 tff(1921,plain,
% 4.22/4.40 (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1504, 1920])).
% 4.22/4.40 tff(1922,plain,
% 4.22/4.40 (m_processor_v_state(c_p1, s1, c_invalid)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1311, 1921, 1918])).
% 4.22/4.40 tff(1923,plain,
% 4.22/4.40 (~m_processor_v_state(c_p1, s1, c_shared)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1513, 1922])).
% 4.22/4.40 tff(1924,plain,
% 4.22/4.40 (~node37(c_p1, s1, s2)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1861, 1923, 1786])).
% 4.22/4.40 tff(1925,assumption,(node32(c_p1, s1, s2)), introduced(assumption)).
% 4.22/4.40 tff(1926,plain,
% 4.22/4.40 ($false),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1900, 28, 3, 1508, 1925])).
% 4.22/4.40 tff(1927,plain,((~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid) | (~node32(c_p1, s1, s2))), inference(lemma,lemma(discharge,[]))).
% 4.22/4.40 tff(1928,plain,
% 4.22/4.40 (~node32(c_p1, s1, s2)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1927, 1922, 3])).
% 4.22/4.40 tff(1929,plain,
% 4.22/4.40 (~m_processor_v_abort(c_p1, s1)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1893, 1928])).
% 4.22/4.40 tff(1930,plain,
% 4.22/4.40 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_state(c_p0, s2, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_state(c_p0, s2, c_shared)))),
% 4.22/4.40 inference(rewrite,[status(thm)],[])).
% 4.22/4.40 tff(1931,plain,
% 4.22/4.40 (((~m_processor_v_state(c_p0, s2, c_shared)) | (~m_processor_v_state(c_p0, s2, c_owned))) <=> ((~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_state(c_p0, s2, c_shared)))),
% 4.22/4.40 inference(rewrite,[status(thm)],[])).
% 4.22/4.40 tff(1932,plain,
% 4.22/4.40 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | (~m_processor_v_state(c_p0, s2, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_state(c_p0, s2, c_shared))))),
% 4.22/4.40 inference(monotonicity,[status(thm)],[1931])).
% 4.22/4.40 tff(1933,plain,
% 4.22/4.40 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | (~m_processor_v_state(c_p0, s2, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_state(c_p0, s2, c_shared)))),
% 4.22/4.40 inference(transitivity,[status(thm)],[1932, 1930])).
% 4.22/4.40 tff(1934,plain,
% 4.22/4.40 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | (~m_processor_v_state(c_p0, s2, c_owned)))),
% 4.22/4.40 inference(quant_inst,[status(thm)],[])).
% 4.22/4.40 tff(1935,plain,
% 4.22/4.40 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_state(c_p0, s2, c_shared))),
% 4.22/4.40 inference(modus_ponens,[status(thm)],[1934, 1933])).
% 4.22/4.40 tff(1936,plain,
% 4.22/4.40 (~m_processor_v_state(c_p0, s2, c_shared)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1935, 1373, 1769])).
% 4.22/4.40 tff(1937,plain,
% 4.22/4.40 (m_processor_v_state(c_p1, s1, c_shared)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1882, 1863, 1853, 1868])).
% 4.22/4.40 tff(1938,assumption,(~node35(c_p1, s1)), introduced(assumption)).
% 4.22/4.40 tff(1939,plain,
% 4.22/4.40 (^[Y: $i, I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)))),
% 4.22/4.40 inference(bind,[status(th)],[])).
% 4.22/4.40 tff(1940,plain,
% 4.22/4.40 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.22/4.40 inference(quant_intro,[status(thm)],[1939])).
% 4.22/4.40 tff(1941,plain,
% 4.22/4.40 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.22/4.40 inference(rewrite,[status(thm)],[])).
% 4.22/4.40 tff(1942,plain,
% 4.22/4.40 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) <=> (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X))), ((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) <=> ((m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | (~m_processor_v_state(I0, X, c_shared))))), rewrite(((m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) <=> ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X))), ((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) <=> ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)))), (((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | node35(I0, X)) <=> (((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | node35(I0, X)))), rewrite((((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | node35(I0, X)) <=> ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_abort(I0, X))), (((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | node35(I0, X)) <=> ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_abort(I0, X)))), ((((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | node35(I0, X)) | m_processor_v_state(I0, Y, c_invalid)) <=> (((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_abort(I0, X)) | m_processor_v_state(I0, Y, c_invalid)))), rewrite((((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_abort(I0, X)) | m_processor_v_state(I0, Y, c_invalid)) <=> ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X))), ((((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | node35(I0, X)) | m_processor_v_state(I0, Y, c_invalid)) <=> ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)))), (((((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | node35(I0, X)) | m_processor_v_state(I0, Y, c_invalid)) | (~node38(I0, X, Y))) <=> (((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)) | (~node38(I0, X, Y))))), rewrite((((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)) | (~node38(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))), (((((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | node35(I0, X)) | m_processor_v_state(I0, Y, c_invalid)) | (~node38(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))))),
% 4.22/4.40 inference(bind,[status(th)],[])).
% 4.22/4.40 tff(1943,plain,
% 4.22/4.40 (![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | node35(I0, X)) | m_processor_v_state(I0, Y, c_invalid)) | (~node38(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.22/4.40 inference(quant_intro,[status(thm)],[1942])).
% 4.22/4.40 tff(1944,axiom,(![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | node35(I0, X)) | m_processor_v_state(I0, Y, c_invalid)) | (~node38(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_69')).
% 4.22/4.40 tff(1945,plain,
% 4.22/4.40 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.22/4.40 inference(modus_ponens,[status(thm)],[1944, 1943])).
% 4.22/4.40 tff(1946,plain,
% 4.22/4.40 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.22/4.40 inference(modus_ponens,[status(thm)],[1945, 1941])).
% 4.22/4.40 tff(1947,plain,(
% 4.22/4.40 ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.22/4.40 inference(skolemize,[status(sab)],[1946])).
% 4.22/4.40 tff(1948,plain,
% 4.22/4.40 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.22/4.40 inference(modus_ponens,[status(thm)],[1947, 1940])).
% 4.22/4.40 tff(1949,plain,
% 4.22/4.40 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | (~node38(c_p1, s1, s2)) | node35(c_p1, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | (~node38(c_p1, s1, s2)) | node35(c_p1, s1))),
% 4.22/4.40 inference(rewrite,[status(thm)],[])).
% 4.22/4.40 tff(1950,plain,
% 4.22/4.40 (((~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_master(c_p1, s1) | node35(c_p1, s1) | m_processor_v_state(c_p1, s2, c_invalid) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1)) <=> (m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | (~node38(c_p1, s1, s2)) | node35(c_p1, s1))),
% 4.22/4.40 inference(rewrite,[status(thm)],[])).
% 4.22/4.40 tff(1951,plain,
% 4.22/4.40 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_master(c_p1, s1) | node35(c_p1, s1) | m_processor_v_state(c_p1, s2, c_invalid) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | (~node38(c_p1, s1, s2)) | node35(c_p1, s1)))),
% 4.22/4.40 inference(monotonicity,[status(thm)],[1950])).
% 4.22/4.40 tff(1952,plain,
% 4.22/4.40 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_master(c_p1, s1) | node35(c_p1, s1) | m_processor_v_state(c_p1, s2, c_invalid) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | (~node38(c_p1, s1, s2)) | node35(c_p1, s1))),
% 4.22/4.40 inference(transitivity,[status(thm)],[1951, 1949])).
% 4.22/4.40 tff(1953,plain,
% 4.22/4.40 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_master(c_p1, s1) | node35(c_p1, s1) | m_processor_v_state(c_p1, s2, c_invalid) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))),
% 4.22/4.40 inference(quant_inst,[status(thm)],[])).
% 4.22/4.40 tff(1954,plain,
% 4.22/4.40 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | (~node38(c_p1, s1, s2)) | node35(c_p1, s1)),
% 4.22/4.40 inference(modus_ponens,[status(thm)],[1953, 1952])).
% 4.22/4.40 tff(1955,plain,
% 4.22/4.40 ($false),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1954, 1948, 1874, 1853, 1863, 1365, 3, 1938])).
% 4.22/4.40 tff(1956,plain,(node35(c_p1, s1) | m_processor_v_master(c_p1, s1) | m_processor_v_abort(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.40 tff(1957,plain,
% 4.22/4.40 (node35(c_p1, s1)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1956, 1937, 1853, 3, 1863])).
% 4.22/4.40 tff(1958,assumption,(node35(c_p1, s1)), introduced(assumption)).
% 4.22/4.40 tff(1959,assumption,(m_processor_v_CMD(c_p1, s1, c_read_h_owned)), introduced(assumption)).
% 4.22/4.40 tff(1960,plain,
% 4.22/4.40 (^[I0: $i, X: $i] : refl(((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X))) <=> ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X))))),
% 4.22/4.40 inference(bind,[status(th)],[])).
% 4.22/4.40 tff(1961,plain,
% 4.22/4.40 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))),
% 4.22/4.40 inference(quant_intro,[status(thm)],[1960])).
% 4.22/4.40 tff(1962,plain,
% 4.22/4.40 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))),
% 4.22/4.40 inference(rewrite,[status(thm)],[])).
% 4.22/4.40 tff(1963,axiom,(![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_60')).
% 4.22/4.40 tff(1964,plain,
% 4.22/4.40 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))),
% 4.22/4.40 inference(modus_ponens,[status(thm)],[1963, 1962])).
% 4.22/4.40 tff(1965,plain,(
% 4.22/4.40 ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))),
% 4.22/4.40 inference(skolemize,[status(sab)],[1964])).
% 4.22/4.40 tff(1966,plain,
% 4.22/4.40 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))),
% 4.22/4.40 inference(modus_ponens,[status(thm)],[1965, 1961])).
% 4.22/4.40 tff(1967,plain,
% 4.22/4.40 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node35(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node35(c_p1, s1)))),
% 4.22/4.40 inference(rewrite,[status(thm)],[])).
% 4.22/4.40 tff(1968,plain,
% 4.22/4.40 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node35(c_p1, s1)))),
% 4.22/4.40 inference(quant_inst,[status(thm)],[])).
% 4.22/4.40 tff(1969,plain,
% 4.22/4.40 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node35(c_p1, s1))),
% 4.22/4.40 inference(modus_ponens,[status(thm)],[1968, 1967])).
% 4.22/4.40 tff(1970,plain,
% 4.22/4.40 ($false),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1969, 1966, 1959, 1958])).
% 4.22/4.40 tff(1971,plain,((~node35(c_p1, s1)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.22/4.40 tff(1972,plain,
% 4.22/4.40 (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1971, 1957])).
% 4.22/4.40 tff(1973,assumption,(~m_processor_v_CMD(c_p1, s1, c_read_h_owned)), introduced(assumption)).
% 4.22/4.40 tff(1974,assumption,(m_main_v_CMD(s1, c_read_h_owned)), introduced(assumption)).
% 4.22/4.40 tff(1975,assumption,(~node3(s1)), introduced(assumption)).
% 4.22/4.40 tff(1976,plain,
% 4.22/4.40 ((~![X: $i] : node3(X)) | node3(s1)),
% 4.22/4.40 inference(quant_inst,[status(thm)],[])).
% 4.22/4.40 tff(1977,plain,
% 4.22/4.40 ($false),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1976, 662, 1975])).
% 4.22/4.40 tff(1978,plain,(node3(s1)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.40 tff(1979,plain,
% 4.22/4.40 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned) | (~node3(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s1, c_read_h_owned)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned) | (~node3(s1)))),
% 4.22/4.40 inference(rewrite,[status(thm)],[])).
% 4.22/4.40 tff(1980,plain,
% 4.22/4.40 (((~m_main_v_CMD(s1, c_read_h_owned)) | (~node3(s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned)) <=> ((~m_main_v_CMD(s1, c_read_h_owned)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned) | (~node3(s1)))),
% 4.22/4.40 inference(rewrite,[status(thm)],[])).
% 4.22/4.40 tff(1981,plain,
% 4.22/4.40 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | (~node3(s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned) | (~node3(s1))))),
% 4.22/4.40 inference(monotonicity,[status(thm)],[1980])).
% 4.22/4.40 tff(1982,plain,
% 4.22/4.40 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | (~node3(s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s1, c_read_h_owned)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned) | (~node3(s1)))),
% 4.22/4.40 inference(transitivity,[status(thm)],[1981, 1979])).
% 4.22/4.40 tff(1983,plain,
% 4.22/4.40 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | (~node3(s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned))),
% 4.22/4.40 inference(quant_inst,[status(thm)],[])).
% 4.22/4.40 tff(1984,plain,
% 4.22/4.40 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s1, c_read_h_owned)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned) | (~node3(s1))),
% 4.22/4.40 inference(modus_ponens,[status(thm)],[1983, 1982])).
% 4.22/4.40 tff(1985,plain,
% 4.22/4.40 ($false),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1984, 901, 1978, 1974, 1973])).
% 4.22/4.40 tff(1986,plain,(m_processor_v_CMD(c_p1, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.22/4.40 tff(1987,plain,
% 4.22/4.40 (~m_main_v_CMD(s1, c_read_h_owned)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1986, 1972])).
% 4.22/4.40 tff(1988,assumption,(~m_main_v_CMD(s1, c_read_h_owned)), introduced(assumption)).
% 4.22/4.40 tff(1989,assumption,(m_processor_v_CMD(c_p0, s1, c_read_h_owned)), introduced(assumption)).
% 4.22/4.40 tff(1990,assumption,(~node2(s1)), introduced(assumption)).
% 4.22/4.40 tff(1991,plain,
% 4.22/4.40 ((~![X: $i] : node2(X)) | node2(s1)),
% 4.22/4.40 inference(quant_inst,[status(thm)],[])).
% 4.22/4.40 tff(1992,plain,
% 4.22/4.40 ($false),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1991, 1736, 1990])).
% 4.22/4.40 tff(1993,plain,(node2(s1)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.40 tff(1994,plain,
% 4.22/4.40 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s1, c_read_h_owned) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)))),
% 4.22/4.40 inference(rewrite,[status(thm)],[])).
% 4.22/4.40 tff(1995,plain,
% 4.22/4.40 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)))),
% 4.22/4.40 inference(quant_inst,[status(thm)],[])).
% 4.22/4.40 tff(1996,plain,
% 4.22/4.40 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s1, c_read_h_owned) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned))),
% 4.22/4.40 inference(modus_ponens,[status(thm)],[1995, 1994])).
% 4.22/4.40 tff(1997,plain,
% 4.22/4.40 ($false),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1996, 1749, 1993, 1989, 1988])).
% 4.22/4.40 tff(1998,plain,((~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | m_main_v_CMD(s1, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.40 tff(1999,plain,
% 4.22/4.40 (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1998, 1987])).
% 4.22/4.40 tff(2000,assumption,(~m_processor_v_state(c_p0, s2, c_shared)), introduced(assumption)).
% 4.22/4.40 tff(2001,plain,
% 4.22/4.40 (~m_processor_v_state(c_p1, s1, c_invalid)),
% 4.22/4.40 inference(unit_resolution,[status(thm)],[1513, 1937])).
% 4.22/4.41 tff(2002,plain,
% 4.22/4.41 (m_processor_v_master(c_p1, s0)),
% 4.22/4.41 inference(unit_resolution,[status(thm)],[142, 2001])).
% 4.22/4.41 tff(2003,plain,
% 4.22/4.41 (~m_processor_v_master(c_p0, s0)),
% 4.22/4.41 inference(unit_resolution,[status(thm)],[820, 2002])).
% 4.22/4.41 tff(2004,plain,
% 4.22/4.41 (~m_processor_v_state(c_p0, s1, c_owned)),
% 4.22/4.41 inference(unit_resolution,[status(thm)],[1626, 2003])).
% 4.22/4.41 tff(2005,assumption,(~m_processor_v_state(c_p0, s2, c_invalid)), introduced(assumption)).
% 4.22/4.41 tff(2006,assumption,(node32(c_p0, s1, s2)), introduced(assumption)).
% 4.22/4.41 tff(2007,plain,
% 4.22/4.41 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared) | (~node32(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared) | (~node32(c_p0, s1, s2)))),
% 4.22/4.41 inference(rewrite,[status(thm)],[])).
% 4.22/4.41 tff(2008,plain,
% 4.22/4.41 (((~node32(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared)) <=> ((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared) | (~node32(c_p0, s1, s2)))),
% 4.22/4.41 inference(rewrite,[status(thm)],[])).
% 4.22/4.41 tff(2009,plain,
% 4.22/4.41 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared) | (~node32(c_p0, s1, s2))))),
% 4.22/4.41 inference(monotonicity,[status(thm)],[2008])).
% 4.22/4.41 tff(2010,plain,
% 4.22/4.41 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared) | (~node32(c_p0, s1, s2)))),
% 4.22/4.41 inference(transitivity,[status(thm)],[2009, 2007])).
% 4.22/4.41 tff(2011,plain,
% 4.22/4.41 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared))),
% 4.22/4.41 inference(quant_inst,[status(thm)],[])).
% 4.22/4.41 tff(2012,plain,
% 4.22/4.41 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared) | (~node32(c_p0, s1, s2))),
% 4.22/4.41 inference(modus_ponens,[status(thm)],[2011, 2010])).
% 4.22/4.41 tff(2013,plain,
% 4.22/4.41 ($false),
% 4.22/4.41 inference(unit_resolution,[status(thm)],[2012, 28, 1632, 2000, 2006])).
% 4.22/4.41 tff(2014,plain,((~node32(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.41 tff(2015,plain,
% 4.22/4.41 (~node32(c_p0, s1, s2)),
% 4.22/4.41 inference(unit_resolution,[status(thm)],[2014, 1632, 2000])).
% 4.22/4.41 tff(2016,plain,
% 4.22/4.41 (~m_processor_v_abort(c_p0, s1)),
% 4.22/4.41 inference(unit_resolution,[status(thm)],[1828, 2015])).
% 4.22/4.41 tff(2017,plain,
% 4.22/4.41 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p0, s1) | m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s1) | m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)))),
% 4.22/4.41 inference(rewrite,[status(thm)],[])).
% 4.22/4.41 tff(2018,plain,
% 4.22/4.41 (((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_master(c_p0, s1) | node35(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1)) <=> (node35(c_p0, s1) | m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)))),
% 4.22/4.41 inference(rewrite,[status(thm)],[])).
% 4.22/4.41 tff(2019,plain,
% 4.22/4.41 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_master(c_p0, s1) | node35(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p0, s1) | m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2))))),
% 4.22/4.41 inference(monotonicity,[status(thm)],[2018])).
% 4.22/4.41 tff(2020,plain,
% 4.22/4.41 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_master(c_p0, s1) | node35(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s1) | m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)))),
% 4.22/4.41 inference(transitivity,[status(thm)],[2019, 2017])).
% 4.22/4.41 tff(2021,plain,
% 4.22/4.41 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_master(c_p0, s1) | node35(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))),
% 4.22/4.41 inference(quant_inst,[status(thm)],[])).
% 4.22/4.41 tff(2022,plain,
% 4.22/4.41 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s1) | m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2))),
% 4.22/4.41 inference(modus_ponens,[status(thm)],[2021, 2020])).
% 4.22/4.41 tff(2023,plain,
% 4.22/4.41 (node35(c_p0, s1) | m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid)),
% 4.22/4.41 inference(unit_resolution,[status(thm)],[2022, 1948, 1813])).
% 4.22/4.41 tff(2024,plain,
% 4.22/4.41 (node35(c_p0, s1)),
% 4.22/4.41 inference(unit_resolution,[status(thm)],[2023, 2016, 1791, 2005, 1632])).
% 4.22/4.41 tff(2025,plain,
% 4.22/4.41 (^[I0: $i, X: $i] : refl(((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X))) <=> ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X))))),
% 4.22/4.41 inference(bind,[status(th)],[])).
% 4.22/4.41 tff(2026,plain,
% 4.22/4.41 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))),
% 4.22/4.41 inference(quant_intro,[status(thm)],[2025])).
% 4.22/4.41 tff(2027,plain,
% 4.22/4.41 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))),
% 4.22/4.41 inference(rewrite,[status(thm)],[])).
% 4.22/4.41 tff(2028,axiom,(![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_61')).
% 4.22/4.41 tff(2029,plain,
% 4.22/4.41 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))),
% 4.22/4.41 inference(modus_ponens,[status(thm)],[2028, 2027])).
% 4.22/4.41 tff(2030,plain,(
% 4.22/4.41 ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))),
% 4.22/4.41 inference(skolemize,[status(sab)],[2029])).
% 4.22/4.41 tff(2031,plain,
% 4.22/4.41 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))),
% 4.22/4.41 inference(modus_ponens,[status(thm)],[2030, 2026])).
% 4.22/4.41 tff(2032,plain,
% 4.22/4.41 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s1, c_invalidate)) | (~node35(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s1, c_invalidate)) | (~node35(c_p0, s1)))),
% 4.22/4.41 inference(rewrite,[status(thm)],[])).
% 4.22/4.41 tff(2033,plain,
% 4.22/4.41 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s1, c_invalidate)) | (~node35(c_p0, s1)))),
% 4.22/4.41 inference(quant_inst,[status(thm)],[])).
% 4.22/4.41 tff(2034,plain,
% 4.22/4.41 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s1, c_invalidate)) | (~node35(c_p0, s1))),
% 4.22/4.41 inference(modus_ponens,[status(thm)],[2033, 2032])).
% 4.22/4.41 tff(2035,plain,
% 4.22/4.41 (~m_processor_v_CMD(c_p0, s1, c_invalidate)),
% 4.22/4.41 inference(unit_resolution,[status(thm)],[2034, 2031, 2024])).
% 4.22/4.41 tff(2036,plain,
% 4.22/4.41 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node35(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node35(c_p0, s1)))),
% 4.22/4.41 inference(rewrite,[status(thm)],[])).
% 4.22/4.41 tff(2037,plain,
% 4.22/4.41 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node35(c_p0, s1)))),
% 4.22/4.41 inference(quant_inst,[status(thm)],[])).
% 4.22/4.41 tff(2038,plain,
% 4.22/4.41 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node35(c_p0, s1))),
% 4.22/4.41 inference(modus_ponens,[status(thm)],[2037, 2036])).
% 4.22/4.41 tff(2039,plain,
% 4.22/4.41 (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 4.22/4.41 inference(unit_resolution,[status(thm)],[2038, 1966, 2024])).
% 4.22/4.41 tff(2040,plain,
% 4.22/4.41 (^[Y: $i, I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)))),
% 4.22/4.41 inference(bind,[status(th)],[])).
% 4.22/4.41 tff(2041,plain,
% 4.22/4.41 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.22/4.41 inference(quant_intro,[status(thm)],[2040])).
% 4.22/4.41 tff(2042,plain,
% 4.22/4.41 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.22/4.41 inference(rewrite,[status(thm)],[])).
% 4.22/4.41 tff(2043,plain,
% 4.22/4.41 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) <=> (m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid))), (((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) <=> ((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)))), rewrite(((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) <=> (m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X))), (((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) <=> (m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)))), ((((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) <=> ((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)))), rewrite(((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) <=> (m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X))), ((((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) <=> (m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)))), (((((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) | node36(I0, X)) <=> ((m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)) | node36(I0, X)))), rewrite(((m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)) | node36(I0, X)) <=> (node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X))), (((((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) | node36(I0, X)) <=> (node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)))), ((((((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) | node36(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) <=> ((node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)) | (~m_processor_v_state(I0, X, c_shared))))), rewrite(((node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) <=> ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X))), ((((((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) | node36(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) <=> ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)))), (((((((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) | node36(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | (~node38(I0, X, Y))) <=> (((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)) | (~node38(I0, X, Y))))), rewrite((((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)) | (~node38(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))), (((((((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) | node36(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | (~node38(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))))),
% 4.22/4.41 inference(bind,[status(th)],[])).
% 4.22/4.41 tff(2044,plain,
% 4.22/4.41 (![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) | node36(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | (~node38(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.22/4.41 inference(quant_intro,[status(thm)],[2043])).
% 4.22/4.41 tff(2045,axiom,(![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) | node36(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | (~node38(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_70')).
% 4.22/4.41 tff(2046,plain,
% 4.22/4.41 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.22/4.41 inference(modus_ponens,[status(thm)],[2045, 2044])).
% 4.22/4.41 tff(2047,plain,
% 4.22/4.41 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.22/4.41 inference(modus_ponens,[status(thm)],[2046, 2042])).
% 4.22/4.41 tff(2048,plain,(
% 4.22/4.41 ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.22/4.41 inference(skolemize,[status(sab)],[2047])).
% 4.22/4.41 tff(2049,plain,
% 4.22/4.41 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 4.22/4.41 inference(modus_ponens,[status(thm)],[2048, 2041])).
% 4.22/4.41 tff(2050,plain,
% 4.22/4.41 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)))),
% 4.22/4.41 inference(rewrite,[status(thm)],[])).
% 4.22/4.41 tff(2051,plain,
% 4.22/4.41 (((~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1)) <=> (m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)))),
% 4.22/4.41 inference(rewrite,[status(thm)],[])).
% 4.22/4.41 tff(2052,plain,
% 4.22/4.41 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2))))),
% 4.22/4.41 inference(monotonicity,[status(thm)],[2051])).
% 4.22/4.41 tff(2053,plain,
% 4.22/4.41 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)))),
% 4.22/4.41 inference(transitivity,[status(thm)],[2052, 2050])).
% 4.22/4.41 tff(2054,plain,
% 4.22/4.41 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))),
% 4.22/4.41 inference(quant_inst,[status(thm)],[])).
% 4.22/4.41 tff(2055,plain,
% 4.22/4.41 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2))),
% 4.22/4.41 inference(modus_ponens,[status(thm)],[2054, 2053])).
% 4.22/4.41 tff(2056,plain,
% 4.22/4.41 (m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid)),
% 4.22/4.41 inference(unit_resolution,[status(thm)],[2055, 2049, 1813])).
% 4.22/4.41 tff(2057,plain,
% 4.22/4.41 (node36(c_p0, s1)),
% 4.22/4.41 inference(unit_resolution,[status(thm)],[2056, 2016, 1791, 1632, 2000, 2005])).
% 4.22/4.41 tff(2058,plain,
% 4.22/4.41 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned)) <=> (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned)))),
% 4.22/4.41 inference(bind,[status(th)],[])).
% 4.22/4.41 tff(2059,plain,
% 4.22/4.41 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned)) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))),
% 4.22/4.41 inference(quant_intro,[status(thm)],[2058])).
% 4.22/4.41 tff(2060,plain,
% 4.22/4.41 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned)) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))),
% 4.22/4.41 inference(rewrite,[status(thm)],[])).
% 4.22/4.41 tff(2061,plain,
% 4.22/4.41 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_invalidate)) <=> (m_processor_v_CMD(I0, X, c_invalidate) | m_processor_v_CMD(I0, X, c_read_h_owned))), (((m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_invalidate)) | (~node36(I0, X))) <=> ((m_processor_v_CMD(I0, X, c_invalidate) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node36(I0, X))))), rewrite(((m_processor_v_CMD(I0, X, c_invalidate) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node36(I0, X))) <=> (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))), (((m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_invalidate)) | (~node36(I0, X))) <=> (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))))),
% 4.22/4.41 inference(bind,[status(th)],[])).
% 4.22/4.41 tff(2062,plain,
% 4.22/4.41 (![I0: $i, X: $i] : ((m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_invalidate)) | (~node36(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))),
% 4.22/4.41 inference(quant_intro,[status(thm)],[2061])).
% 4.22/4.41 tff(2063,axiom,(![I0: $i, X: $i] : ((m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_invalidate)) | (~node36(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_64')).
% 4.22/4.41 tff(2064,plain,
% 4.22/4.41 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))),
% 4.22/4.41 inference(modus_ponens,[status(thm)],[2063, 2062])).
% 4.22/4.41 tff(2065,plain,
% 4.22/4.41 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))),
% 4.22/4.41 inference(modus_ponens,[status(thm)],[2064, 2060])).
% 4.22/4.41 tff(2066,plain,(
% 4.22/4.41 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))),
% 4.22/4.41 inference(skolemize,[status(sab)],[2065])).
% 4.22/4.41 tff(2067,plain,
% 4.22/4.41 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))),
% 4.22/4.41 inference(modus_ponens,[status(thm)],[2066, 2059])).
% 4.22/4.41 tff(2068,plain,
% 4.22/4.41 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~node36(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_invalidate))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~node36(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_invalidate))),
% 4.22/4.41 inference(rewrite,[status(thm)],[])).
% 4.22/4.41 tff(2069,plain,
% 4.22/4.41 ((m_processor_v_CMD(c_p0, s1, c_invalidate) | (~node36(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~node36(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_invalidate))),
% 4.22/4.41 inference(rewrite,[status(thm)],[])).
% 4.22/4.41 tff(2070,plain,
% 4.22/4.41 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s1, c_invalidate) | (~node36(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~node36(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_invalidate)))),
% 4.22/4.41 inference(monotonicity,[status(thm)],[2069])).
% 4.22/4.41 tff(2071,plain,
% 4.22/4.41 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s1, c_invalidate) | (~node36(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~node36(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_invalidate))),
% 4.22/4.41 inference(transitivity,[status(thm)],[2070, 2068])).
% 4.22/4.41 tff(2072,plain,
% 4.22/4.41 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s1, c_invalidate) | (~node36(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_owned))),
% 4.22/4.41 inference(quant_inst,[status(thm)],[])).
% 4.22/4.41 tff(2073,plain,
% 4.22/4.41 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~node36(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_invalidate)),
% 4.22/4.41 inference(modus_ponens,[status(thm)],[2072, 2071])).
% 4.22/4.41 tff(2074,plain,
% 4.22/4.41 ($false),
% 4.22/4.41 inference(unit_resolution,[status(thm)],[2073, 2067, 2057, 2039, 2035])).
% 4.22/4.41 tff(2075,plain,((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.41 tff(2076,plain,
% 4.22/4.41 (~m_processor_v_state(c_p0, s1, c_shared)),
% 4.22/4.41 inference(unit_resolution,[status(thm)],[2075, 2005, 2000, 1791])).
% 4.22/4.41 tff(2077,plain,
% 4.22/4.41 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid))),
% 4.22/4.42 inference(rewrite,[status(thm)],[])).
% 4.22/4.42 tff(2078,plain,
% 4.22/4.42 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid))),
% 4.22/4.42 inference(quant_inst,[status(thm)],[])).
% 4.22/4.42 tff(2079,plain,
% 4.22/4.42 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid)),
% 4.22/4.42 inference(modus_ponens,[status(thm)],[2078, 2077])).
% 4.22/4.42 tff(2080,plain,
% 4.22/4.42 (m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s2, c_invalid)),
% 4.22/4.42 inference(unit_resolution,[status(thm)],[2079, 1780, 2000])).
% 4.22/4.42 tff(2081,plain,
% 4.22/4.42 (m_processor_v_state(c_p0, s2, c_owned)),
% 4.22/4.42 inference(unit_resolution,[status(thm)],[2080, 2005])).
% 4.22/4.42 tff(2082,plain,
% 4.22/4.42 (~m_processor_v_state(c_p0, s1, c_invalid)),
% 4.22/4.42 inference(unit_resolution,[status(thm)],[1842, 2076, 1796, 1791, 2081])).
% 4.22/4.42 tff(2083,plain,
% 4.22/4.42 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s1, c_owned) | m_processor_v_state(c_p0, s1, c_shared) | m_processor_v_state(c_p0, s1, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s1, c_owned) | m_processor_v_state(c_p0, s1, c_shared) | m_processor_v_state(c_p0, s1, c_invalid))),
% 4.22/4.42 inference(rewrite,[status(thm)],[])).
% 4.22/4.42 tff(2084,plain,
% 4.22/4.42 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s1, c_owned) | m_processor_v_state(c_p0, s1, c_shared) | m_processor_v_state(c_p0, s1, c_invalid))),
% 4.22/4.42 inference(quant_inst,[status(thm)],[])).
% 4.22/4.42 tff(2085,plain,
% 4.22/4.42 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s1, c_owned) | m_processor_v_state(c_p0, s1, c_shared) | m_processor_v_state(c_p0, s1, c_invalid)),
% 4.22/4.42 inference(modus_ponens,[status(thm)],[2084, 2083])).
% 4.22/4.42 tff(2086,plain,
% 4.22/4.42 (m_processor_v_state(c_p0, s1, c_shared) | m_processor_v_state(c_p0, s1, c_invalid)),
% 4.22/4.42 inference(unit_resolution,[status(thm)],[2085, 1780, 1796])).
% 4.22/4.42 tff(2087,plain,
% 4.22/4.42 ($false),
% 4.22/4.42 inference(unit_resolution,[status(thm)],[2086, 2082, 2076])).
% 4.22/4.42 tff(2088,plain,(m_processor_v_state(c_p0, s2, c_invalid) | m_processor_v_state(c_p0, s1, c_owned) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.22/4.42 tff(2089,plain,
% 4.22/4.42 (m_processor_v_master(c_p0, s1)),
% 4.22/4.42 inference(unit_resolution,[status(thm)],[2088, 2004, 1833, 2000])).
% 4.22/4.42 tff(2090,assumption,(~m_processor_v_CMD(c_p0, s1, c_read_h_owned)), introduced(assumption)).
% 4.22/4.42 tff(2091,plain,
% 4.22/4.42 (m_processor_v_master(c_p0, s1)),
% 4.22/4.42 inference(unit_resolution,[status(thm)],[2075, 1632, 2005, 2000])).
% 4.22/4.42 tff(2092,plain,
% 4.22/4.42 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | (~node38(c_p0, s1, s2)) | node34(c_p0, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | (~node38(c_p0, s1, s2)) | node34(c_p0, s1, s2))),
% 4.22/4.42 inference(rewrite,[status(thm)],[])).
% 4.22/4.42 tff(2093,plain,
% 4.22/4.42 ((node34(c_p0, s1, s2) | (~m_processor_v_master(c_p0, s1)) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1)) <=> ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | (~node38(c_p0, s1, s2)) | node34(c_p0, s1, s2))),
% 4.22/4.42 inference(rewrite,[status(thm)],[])).
% 4.22/4.42 tff(2094,plain,
% 4.22/4.42 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s1, s2) | (~m_processor_v_master(c_p0, s1)) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | (~node38(c_p0, s1, s2)) | node34(c_p0, s1, s2)))),
% 4.22/4.42 inference(monotonicity,[status(thm)],[2093])).
% 4.22/4.42 tff(2095,plain,
% 4.22/4.42 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s1, s2) | (~m_processor_v_master(c_p0, s1)) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | (~node38(c_p0, s1, s2)) | node34(c_p0, s1, s2))),
% 4.22/4.42 inference(transitivity,[status(thm)],[2094, 2092])).
% 4.22/4.42 tff(2096,plain,
% 4.22/4.42 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s1, s2) | (~m_processor_v_master(c_p0, s1)) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))),
% 4.22/4.42 inference(quant_inst,[status(thm)],[])).
% 4.22/4.42 tff(2097,plain,
% 4.22/4.42 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | (~node38(c_p0, s1, s2)) | node34(c_p0, s1, s2)),
% 4.22/4.42 inference(modus_ponens,[status(thm)],[2096, 2095])).
% 4.22/4.42 tff(2098,plain,
% 4.22/4.42 ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | node34(c_p0, s1, s2)),
% 4.22/4.42 inference(unit_resolution,[status(thm)],[2097, 640, 1813])).
% 4.22/4.42 tff(2099,plain,
% 4.22/4.42 (node34(c_p0, s1, s2)),
% 4.22/4.42 inference(unit_resolution,[status(thm)],[2098, 2016, 2091])).
% 4.22/4.42 tff(2100,assumption,(m_processor_v_CMD(c_p0, s1, c_read_h_shared)), introduced(assumption)).
% 4.22/4.42 tff(2101,assumption,(node34(c_p0, s1, s2)), introduced(assumption)).
% 4.22/4.42 tff(2102,plain,
% 4.22/4.42 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p0, s2, c_shared) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s2, c_shared) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)))),
% 4.22/4.42 inference(rewrite,[status(thm)],[])).
% 4.22/4.42 tff(2103,plain,
% 4.22/4.42 (((~node34(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared))) <=> (m_processor_v_state(c_p0, s2, c_shared) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)))),
% 4.22/4.42 inference(rewrite,[status(thm)],[])).
% 4.22/4.42 tff(2104,plain,
% 4.22/4.42 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p0, s2, c_shared) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared))))),
% 4.22/4.42 inference(monotonicity,[status(thm)],[2103])).
% 4.22/4.42 tff(2105,plain,
% 4.22/4.42 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s2, c_shared) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)))),
% 4.22/4.42 inference(transitivity,[status(thm)],[2104, 2102])).
% 4.22/4.42 tff(2106,plain,
% 4.22/4.42 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)))),
% 4.22/4.42 inference(quant_inst,[status(thm)],[])).
% 4.22/4.42 tff(2107,plain,
% 4.22/4.42 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s2, c_shared) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared))),
% 4.22/4.42 inference(modus_ponens,[status(thm)],[2106, 2105])).
% 4.22/4.42 tff(2108,plain,
% 4.22/4.42 ($false),
% 4.22/4.42 inference(unit_resolution,[status(thm)],[2107, 1393, 2000, 2101, 2100])).
% 4.22/4.42 tff(2109,plain,((~node34(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 4.22/4.42 tff(2110,plain,
% 4.22/4.42 (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 4.22/4.42 inference(unit_resolution,[status(thm)],[2109, 2099, 2000])).
% 4.22/4.42 tff(2111,assumption,(~m_processor_v_CMD(c_p0, s1, c_read_h_shared)), introduced(assumption)).
% 4.22/4.42 tff(2112,assumption,(m_processor_v_CMD(c_p0, s1, c_write_h_invalid)), introduced(assumption)).
% 4.22/4.42 tff(2113,plain,
% 4.22/4.42 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_invalid) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_invalid) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid)))),
% 4.22/4.42 inference(rewrite,[status(thm)],[])).
% 4.22/4.42 tff(2114,plain,
% 4.22/4.42 (((~node34(c_p0, s1, s2)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_invalid) | (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid))) <=> (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_invalid) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid)))),
% 4.22/4.42 inference(rewrite,[status(thm)],[])).
% 4.22/4.42 tff(2115,plain,
% 4.22/4.42 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_invalid) | (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_invalid) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid))))),
% 4.22/4.42 inference(monotonicity,[status(thm)],[2114])).
% 4.26/4.42 tff(2116,plain,
% 4.26/4.42 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_invalid) | (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_invalid) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid)))),
% 4.26/4.42 inference(transitivity,[status(thm)],[2115, 2113])).
% 4.26/4.42 tff(2117,plain,
% 4.26/4.42 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_invalid) | (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid)))),
% 4.26/4.42 inference(quant_inst,[status(thm)],[])).
% 4.26/4.42 tff(2118,plain,
% 4.26/4.42 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_invalid) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid))),
% 4.26/4.42 inference(modus_ponens,[status(thm)],[2117, 2116])).
% 4.26/4.42 tff(2119,plain,
% 4.26/4.42 (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid))),
% 4.26/4.42 inference(unit_resolution,[status(thm)],[2118, 1209, 2005, 2101])).
% 4.26/4.42 tff(2120,plain,
% 4.26/4.42 (m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 4.26/4.42 inference(unit_resolution,[status(thm)],[2119, 2112, 2111])).
% 4.26/4.42 tff(2121,plain,
% 4.26/4.42 (m_main_v_CMD(s1, c_read_h_owned)),
% 4.26/4.42 inference(unit_resolution,[status(thm)],[1998, 2120])).
% 4.26/4.42 tff(2122,plain,
% 4.26/4.42 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_write_h_invalid) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s1, c_write_h_invalid) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid)))),
% 4.26/4.42 inference(rewrite,[status(thm)],[])).
% 4.26/4.42 tff(2123,plain,
% 4.26/4.42 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_write_h_invalid) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid)))),
% 4.26/4.42 inference(quant_inst,[status(thm)],[])).
% 4.26/4.42 tff(2124,plain,
% 4.26/4.42 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s1, c_write_h_invalid) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid))),
% 4.26/4.42 inference(modus_ponens,[status(thm)],[2123, 2122])).
% 4.26/4.42 tff(2125,plain,
% 4.26/4.42 (m_main_v_CMD(s1, c_write_h_invalid)),
% 4.26/4.42 inference(unit_resolution,[status(thm)],[2124, 1749, 1993, 2112])).
% 4.26/4.42 tff(2126,plain,
% 4.26/4.42 (^[X: $i] : refl(((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid))) <=> ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid))))),
% 4.26/4.42 inference(bind,[status(th)],[])).
% 4.26/4.42 tff(2127,plain,
% 4.26/4.42 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 4.26/4.42 inference(quant_intro,[status(thm)],[2126])).
% 4.26/4.42 tff(2128,plain,
% 4.26/4.42 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 4.26/4.42 inference(rewrite,[status(thm)],[])).
% 4.26/4.42 tff(2129,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_17')).
% 4.26/4.42 tff(2130,plain,
% 4.26/4.42 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 4.26/4.42 inference(modus_ponens,[status(thm)],[2129, 2128])).
% 4.26/4.42 tff(2131,plain,(
% 4.26/4.42 ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 4.26/4.42 inference(skolemize,[status(sab)],[2130])).
% 4.26/4.42 tff(2132,plain,
% 4.26/4.42 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 4.26/4.42 inference(modus_ponens,[status(thm)],[2131, 2127])).
% 4.26/4.42 tff(2133,plain,
% 4.26/4.42 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | (~m_main_v_CMD(s1, c_write_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~m_main_v_CMD(s1, c_write_h_invalid)))),
% 4.26/4.42 inference(rewrite,[status(thm)],[])).
% 4.26/4.42 tff(2134,plain,
% 4.26/4.42 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | (~m_main_v_CMD(s1, c_write_h_invalid)))),
% 4.26/4.42 inference(quant_inst,[status(thm)],[])).
% 4.26/4.42 tff(2135,plain,
% 4.26/4.42 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~m_main_v_CMD(s1, c_write_h_invalid))),
% 4.26/4.42 inference(modus_ponens,[status(thm)],[2134, 2133])).
% 4.26/4.42 tff(2136,plain,
% 4.26/4.42 ($false),
% 4.26/4.42 inference(unit_resolution,[status(thm)],[2135, 2132, 2125, 2121])).
% 4.26/4.42 tff(2137,plain,((~m_processor_v_CMD(c_p0, s1, c_write_h_invalid)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_state(c_p0, s2, c_invalid) | (~node34(c_p0, s1, s2))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.42 tff(2138,plain,
% 4.26/4.42 (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid)),
% 4.26/4.42 inference(unit_resolution,[status(thm)],[2137, 2110, 2005, 2099])).
% 4.26/4.42 tff(2139,plain,
% 4.26/4.42 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_state(c_p0, s2, c_invalid) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_state(c_p0, s2, c_invalid) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)))),
% 4.26/4.42 inference(rewrite,[status(thm)],[])).
% 4.26/4.42 tff(2140,plain,
% 4.26/4.42 (((~node34(c_p0, s1, s2)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_state(c_p0, s2, c_invalid) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)))),
% 4.26/4.42 inference(rewrite,[status(thm)],[])).
% 4.26/4.42 tff(2141,plain,
% 4.26/4.42 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_state(c_p0, s2, c_invalid) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid))))),
% 4.26/4.42 inference(monotonicity,[status(thm)],[2140])).
% 4.26/4.42 tff(2142,plain,
% 4.26/4.42 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_state(c_p0, s2, c_invalid) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)))),
% 4.26/4.42 inference(transitivity,[status(thm)],[2141, 2139])).
% 4.26/4.42 tff(2143,plain,
% 4.26/4.42 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)))),
% 4.26/4.42 inference(quant_inst,[status(thm)],[])).
% 4.26/4.42 tff(2144,plain,
% 4.26/4.42 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_state(c_p0, s2, c_invalid) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid))),
% 4.26/4.42 inference(modus_ponens,[status(thm)],[2143, 2142])).
% 4.26/4.42 tff(2145,plain,
% 4.26/4.42 (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)),
% 4.26/4.42 inference(unit_resolution,[status(thm)],[2144, 1415, 2005, 2099, 2138, 2110, 2090])).
% 4.26/4.42 tff(2146,plain,
% 4.26/4.42 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | (~node33(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s1, c_shared)) | (~node33(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared))),
% 4.26/4.42 inference(rewrite,[status(thm)],[])).
% 4.26/4.42 tff(2147,plain,
% 4.26/4.42 (((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared) | (~node33(c_p0, s1, s2))) <=> ((~m_processor_v_state(c_p0, s1, c_shared)) | (~node33(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared))),
% 4.26/4.42 inference(rewrite,[status(thm)],[])).
% 4.26/4.42 tff(2148,plain,
% 4.26/4.42 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared) | (~node33(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | (~node33(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared)))),
% 4.26/4.42 inference(monotonicity,[status(thm)],[2147])).
% 4.26/4.42 tff(2149,plain,
% 4.26/4.42 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared) | (~node33(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s1, c_shared)) | (~node33(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared))),
% 4.26/4.42 inference(transitivity,[status(thm)],[2148, 2146])).
% 4.26/4.42 tff(2150,plain,
% 4.26/4.42 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared) | (~node33(c_p0, s1, s2)))),
% 4.26/4.42 inference(quant_inst,[status(thm)],[])).
% 4.26/4.42 tff(2151,plain,
% 4.26/4.42 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s1, c_shared)) | (~node33(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared)),
% 4.26/4.42 inference(modus_ponens,[status(thm)],[2150, 2149])).
% 4.26/4.42 tff(2152,plain,
% 4.26/4.42 (~node33(c_p0, s1, s2)),
% 4.26/4.42 inference(unit_resolution,[status(thm)],[2151, 1231, 1632, 2000])).
% 4.26/4.42 tff(2153,assumption,(~m_processor_v_CMD(c_p0, s1, c_write_h_shared)), introduced(assumption)).
% 4.26/4.42 tff(2154,plain,
% 4.26/4.42 (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 4.26/4.42 inference(unit_resolution,[status(thm)],[2109, 2101, 2000])).
% 4.26/4.42 tff(2155,plain,
% 4.26/4.42 (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid)),
% 4.26/4.42 inference(unit_resolution,[status(thm)],[2137, 2154, 2005, 2101])).
% 4.26/4.42 tff(2156,assumption,(~node33(c_p0, s1, s2)), introduced(assumption)).
% 4.26/4.42 tff(2157,assumption,(~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)), introduced(assumption)).
% 4.26/4.42 tff(2158,assumption,(~m_processor_v_CMD(c_p0, s1, c_write_h_invalid)), introduced(assumption)).
% 4.26/4.42 tff(2159,plain,
% 4.26/4.42 (m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared))),
% 4.26/4.42 inference(unit_resolution,[status(thm)],[2107, 1393, 2101])).
% 4.26/4.42 tff(2160,plain,
% 4.26/4.42 (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 4.26/4.42 inference(unit_resolution,[status(thm)],[2159, 2000])).
% 4.26/4.42 tff(2161,plain,
% 4.26/4.42 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | node33(c_p0, s1, s2) | (~node34(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | node33(c_p0, s1, s2) | (~node34(c_p0, s1, s2)))),
% 4.26/4.43 inference(rewrite,[status(thm)],[])).
% 4.26/4.43 tff(2162,plain,
% 4.26/4.43 ((node33(c_p0, s1, s2) | (~node34(c_p0, s1, s2)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | node33(c_p0, s1, s2) | (~node34(c_p0, s1, s2)))),
% 4.26/4.43 inference(rewrite,[status(thm)],[])).
% 4.26/4.43 tff(2163,plain,
% 4.26/4.43 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s1, s2) | (~node34(c_p0, s1, s2)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | node33(c_p0, s1, s2) | (~node34(c_p0, s1, s2))))),
% 4.26/4.43 inference(monotonicity,[status(thm)],[2162])).
% 4.26/4.43 tff(2164,plain,
% 4.26/4.43 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s1, s2) | (~node34(c_p0, s1, s2)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | node33(c_p0, s1, s2) | (~node34(c_p0, s1, s2)))),
% 4.26/4.43 inference(transitivity,[status(thm)],[2163, 2161])).
% 4.26/4.43 tff(2165,plain,
% 4.26/4.43 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s1, s2) | (~node34(c_p0, s1, s2)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared))),
% 4.26/4.43 inference(quant_inst,[status(thm)],[])).
% 4.26/4.43 tff(2166,plain,
% 4.26/4.43 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | node33(c_p0, s1, s2) | (~node34(c_p0, s1, s2))),
% 4.26/4.43 inference(modus_ponens,[status(thm)],[2165, 2164])).
% 4.26/4.43 tff(2167,plain,
% 4.26/4.43 (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | node33(c_p0, s1, s2)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2166, 1265, 2101])).
% 4.26/4.43 tff(2168,plain,
% 4.26/4.43 (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2167, 2090, 2160, 2158, 2157, 2153, 2156])).
% 4.26/4.43 tff(2169,plain,
% 4.26/4.43 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | m_processor_v_state(c_p0, s2, c_shared) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | m_processor_v_state(c_p0, s2, c_shared) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)))),
% 4.26/4.43 inference(rewrite,[status(thm)],[])).
% 4.26/4.43 tff(2170,plain,
% 4.26/4.43 (((~node34(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | m_processor_v_state(c_p0, s2, c_shared) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)))),
% 4.26/4.43 inference(rewrite,[status(thm)],[])).
% 4.26/4.43 tff(2171,plain,
% 4.26/4.43 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | m_processor_v_state(c_p0, s2, c_shared) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared))))),
% 4.26/4.43 inference(monotonicity,[status(thm)],[2170])).
% 4.26/4.43 tff(2172,plain,
% 4.26/4.43 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | m_processor_v_state(c_p0, s2, c_shared) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)))),
% 4.26/4.43 inference(transitivity,[status(thm)],[2171, 2169])).
% 4.26/4.43 tff(2173,plain,
% 4.26/4.43 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)))),
% 4.26/4.43 inference(quant_inst,[status(thm)],[])).
% 4.26/4.43 tff(2174,plain,
% 4.26/4.43 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | m_processor_v_state(c_p0, s2, c_shared) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared))),
% 4.26/4.43 inference(modus_ponens,[status(thm)],[2173, 2172])).
% 4.26/4.43 tff(2175,plain,
% 4.26/4.43 (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2174, 1486, 2101])).
% 4.26/4.43 tff(2176,plain,
% 4.26/4.43 ($false),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2175, 2168, 2090, 2000, 2160, 2158, 2157, 2153])).
% 4.26/4.43 tff(2177,plain,(m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | (~node34(c_p0, s1, s2)) | node33(c_p0, s1, s2)), inference(lemma,lemma(discharge,[]))).
% 4.26/4.43 tff(2178,plain,
% 4.26/4.43 (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2177, 2090, 2101, 2156, 2155, 2153, 2000])).
% 4.26/4.43 tff(2179,plain,
% 4.26/4.43 (m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2144, 1415, 2005, 2101, 2155, 2154])).
% 4.26/4.43 tff(2180,plain,
% 4.26/4.43 ($false),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2179, 2178, 2090])).
% 4.26/4.43 tff(2181,plain,(m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_invalid) | (~node34(c_p0, s1, s2)) | node33(c_p0, s1, s2) | m_processor_v_CMD(c_p0, s1, c_write_h_shared) | m_processor_v_state(c_p0, s2, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.26/4.43 tff(2182,plain,
% 4.26/4.43 (m_processor_v_CMD(c_p0, s1, c_write_h_shared)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2181, 2152, 2005, 2090, 2099, 2000])).
% 4.26/4.43 tff(2183,plain,
% 4.26/4.43 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s2, c_shared) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s2, c_shared) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_shared)))),
% 4.26/4.43 inference(rewrite,[status(thm)],[])).
% 4.26/4.43 tff(2184,plain,
% 4.26/4.43 (((~node34(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s1, c_write_h_shared))) <=> (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s2, c_shared) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_shared)))),
% 4.26/4.43 inference(rewrite,[status(thm)],[])).
% 4.26/4.43 tff(2185,plain,
% 4.26/4.43 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s1, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s2, c_shared) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_shared))))),
% 4.26/4.43 inference(monotonicity,[status(thm)],[2184])).
% 4.26/4.43 tff(2186,plain,
% 4.26/4.43 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s1, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s2, c_shared) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_shared)))),
% 4.26/4.43 inference(transitivity,[status(thm)],[2185, 2183])).
% 4.26/4.43 tff(2187,plain,
% 4.26/4.43 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s1, c_write_h_shared)))),
% 4.26/4.43 inference(quant_inst,[status(thm)],[])).
% 4.26/4.43 tff(2188,plain,
% 4.26/4.43 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s2, c_shared) | (~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_shared))),
% 4.26/4.43 inference(modus_ponens,[status(thm)],[2187, 2186])).
% 4.26/4.43 tff(2189,plain,
% 4.26/4.43 (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s1, c_write_h_shared))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2188, 1444, 2000, 2099, 2138, 2110, 2090])).
% 4.26/4.43 tff(2190,plain,
% 4.26/4.43 ($false),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2189, 2182, 2145])).
% 4.26/4.43 tff(2191,plain,((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.26/4.43 tff(2192,plain,
% 4.26/4.43 (~m_processor_v_state(c_p0, s1, c_shared)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2191, 1999, 2000, 1833])).
% 4.26/4.43 tff(2193,plain,
% 4.26/4.43 (m_processor_v_state(c_p0, s1, c_owned) | m_processor_v_state(c_p0, s1, c_invalid)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2085, 1780, 2192])).
% 4.26/4.43 tff(2194,plain,
% 4.26/4.43 (m_processor_v_state(c_p0, s1, c_invalid)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2193, 2004])).
% 4.26/4.43 tff(2195,plain,
% 4.26/4.43 ($false),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1840, 28, 1834, 2005, 2006])).
% 4.26/4.43 tff(2196,plain,((~node32(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.26/4.43 tff(2197,plain,
% 4.26/4.43 (~node32(c_p0, s1, s2)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2196, 2194, 1833])).
% 4.26/4.43 tff(2198,plain,
% 4.26/4.43 (~m_processor_v_abort(c_p0, s1)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1828, 2197])).
% 4.26/4.43 tff(2199,plain,
% 4.26/4.43 (node34(c_p0, s1, s2)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2098, 2198, 2089])).
% 4.26/4.43 tff(2200,plain,
% 4.26/4.43 (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2109, 2199, 2000])).
% 4.26/4.43 tff(2201,plain,
% 4.26/4.43 (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2137, 2199, 1833, 2200])).
% 4.26/4.43 tff(2202,plain,
% 4.26/4.43 (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2144, 1415, 1833, 2199, 2201, 2200, 1999])).
% 4.26/4.43 tff(2203,plain,
% 4.26/4.43 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~node33(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~node33(c_p0, s1, s2)))),
% 4.26/4.43 inference(rewrite,[status(thm)],[])).
% 4.26/4.43 tff(2204,plain,
% 4.26/4.43 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~node33(c_p0, s1, s2)))),
% 4.26/4.43 inference(quant_inst,[status(thm)],[])).
% 4.26/4.43 tff(2205,plain,
% 4.26/4.43 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~node33(c_p0, s1, s2))),
% 4.26/4.43 inference(modus_ponens,[status(thm)],[2204, 2203])).
% 4.26/4.43 tff(2206,plain,
% 4.26/4.43 (~node33(c_p0, s1, s2)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2205, 1654, 2004, 1769])).
% 4.26/4.43 tff(2207,plain,
% 4.26/4.43 (m_processor_v_CMD(c_p0, s1, c_write_h_shared)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2181, 2206, 1833, 1999, 2199, 2000])).
% 4.26/4.43 tff(2208,plain,
% 4.26/4.43 (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s1, c_write_h_shared))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2188, 1444, 2000, 2199, 2201, 2200, 1999])).
% 4.26/4.43 tff(2209,plain,
% 4.26/4.43 ($false),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2208, 2207, 2202])).
% 4.26/4.43 tff(2210,plain,(m_processor_v_abort(c_p1, s1) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s2, c_invalid) | node37(c_p1, s1, s2)), inference(lemma,lemma(discharge,[]))).
% 4.26/4.43 tff(2211,plain,
% 4.26/4.43 (m_processor_v_master(c_p1, s1)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2210, 1936, 3, 1863, 1868, 1769])).
% 4.26/4.43 tff(2212,plain,
% 4.26/4.43 (m_processor_v_master(c_p0, s1)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2088, 1833, 1936, 1796])).
% 4.26/4.43 tff(2213,plain,
% 4.26/4.43 ($false),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1850, 2212, 2211])).
% 4.26/4.43 tff(2214,plain,((~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_state(c_p0, s1, c_owned) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | node37(c_p1, s1, s2)), inference(lemma,lemma(discharge,[]))).
% 4.26/4.43 tff(2215,plain,
% 4.26/4.43 ($false),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2214, 1929, 1924, 1769, 3, 1768])).
% 4.26/4.43 tff(2216,plain,(m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_state(c_p1, s2, c_invalid) | m_memory_v_busy(c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 4.26/4.43 tff(2217,plain,
% 4.26/4.43 (~m_processor_v_state(c_p0, s2, c_owned)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2216, 4, 3, 1515])).
% 4.26/4.43 tff(2218,plain,
% 4.26/4.43 (m_processor_v_state(c_p1, s1, c_invalid)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[580, 6, 4])).
% 4.26/4.43 tff(2219,plain,
% 4.26/4.43 (m_processor_v_master(c_p1, s1)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1902, 2218, 3, 1515])).
% 4.26/4.43 tff(2220,plain,
% 4.26/4.43 (~m_processor_v_master(c_p0, s1)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1850, 2219])).
% 4.26/4.43 tff(2221,assumption,(~m_processor_v_state(c_p0, s2, c_owned)), introduced(assumption)).
% 4.26/4.43 tff(2222,plain,
% 4.26/4.43 (m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2079, 1780, 2221])).
% 4.26/4.43 tff(2223,plain,
% 4.26/4.43 (m_processor_v_state(c_p0, s2, c_shared)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2222, 2005])).
% 4.26/4.43 tff(2224,plain,
% 4.26/4.43 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s1, c_shared) | (~node37(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s2, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node37(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s2, c_shared)))),
% 4.26/4.43 inference(rewrite,[status(thm)],[])).
% 4.26/4.43 tff(2225,plain,
% 4.26/4.43 ((m_processor_v_state(c_p0, s1, c_shared) | (~m_processor_v_state(c_p0, s2, c_shared)) | (~node37(c_p0, s1, s2))) <=> (m_processor_v_state(c_p0, s1, c_shared) | (~node37(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s2, c_shared)))),
% 4.26/4.43 inference(rewrite,[status(thm)],[])).
% 4.26/4.43 tff(2226,plain,
% 4.26/4.43 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s1, c_shared) | (~m_processor_v_state(c_p0, s2, c_shared)) | (~node37(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s1, c_shared) | (~node37(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s2, c_shared))))),
% 4.26/4.43 inference(monotonicity,[status(thm)],[2225])).
% 4.26/4.43 tff(2227,plain,
% 4.26/4.43 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s1, c_shared) | (~m_processor_v_state(c_p0, s2, c_shared)) | (~node37(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node37(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s2, c_shared)))),
% 4.26/4.43 inference(transitivity,[status(thm)],[2226, 2224])).
% 4.26/4.43 tff(2228,plain,
% 4.26/4.43 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s1, c_shared) | (~m_processor_v_state(c_p0, s2, c_shared)) | (~node37(c_p0, s1, s2)))),
% 4.26/4.43 inference(quant_inst,[status(thm)],[])).
% 4.26/4.43 tff(2229,plain,
% 4.26/4.43 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node37(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s2, c_shared))),
% 4.26/4.43 inference(modus_ponens,[status(thm)],[2228, 2227])).
% 4.26/4.43 tff(2230,plain,
% 4.26/4.43 (~node37(c_p0, s1, s2)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2229, 1612, 1644, 2223])).
% 4.26/4.43 tff(2231,plain,
% 4.26/4.43 (m_processor_v_abort(c_p0, s1)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1820, 2230, 1644, 1795, 1791])).
% 4.26/4.43 tff(2232,plain,
% 4.26/4.43 (node32(c_p0, s1, s2)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1828, 2231])).
% 4.26/4.43 tff(2233,plain,
% 4.26/4.43 ($false),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1840, 28, 1834, 2005, 2232])).
% 4.26/4.43 tff(2234,plain,(m_processor_v_state(c_p0, s2, c_invalid) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s1, c_shared) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.26/4.43 tff(2235,plain,
% 4.26/4.43 (m_processor_v_state(c_p0, s1, c_shared)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2234, 1834, 1791, 2221, 2005])).
% 4.26/4.43 tff(2236,plain,
% 4.26/4.43 ($false),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1789, 107, 2235, 1834])).
% 4.26/4.43 tff(2237,plain,((~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.26/4.43 tff(2238,plain,
% 4.26/4.43 (m_processor_v_state(c_p0, s2, c_invalid)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[2237, 2220, 2217, 1601])).
% 4.26/4.43 tff(2239,assumption,(m_processor_v_state(c_p0, s2, c_invalid)), introduced(assumption)).
% 4.26/4.43 tff(2240,assumption,(m_processor_v_state(c_p0, s2, c_shared)), introduced(assumption)).
% 4.26/4.43 tff(2241,plain,
% 4.26/4.43 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_shared)))),
% 4.26/4.43 inference(rewrite,[status(thm)],[])).
% 4.26/4.43 tff(2242,plain,
% 4.26/4.43 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_shared)))),
% 4.26/4.43 inference(quant_inst,[status(thm)],[])).
% 4.26/4.43 tff(2243,plain,
% 4.26/4.43 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_shared))),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2242, 2241])).
% 4.26/4.44 tff(2244,plain,
% 4.26/4.44 ($false),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2243, 107, 2240, 2239])).
% 4.26/4.44 tff(2245,plain,((~m_processor_v_state(c_p0, s2, c_shared)) | (~m_processor_v_state(c_p0, s2, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.44 tff(2246,plain,
% 4.26/4.44 (~m_processor_v_state(c_p0, s2, c_shared)),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2245, 2238])).
% 4.26/4.44 tff(2247,assumption,(~m_processor_v_state(c_p0, s3, c_owned)), introduced(assumption)).
% 4.26/4.44 tff(2248,assumption,(node56(c_p0, s3)), introduced(assumption)).
% 4.26/4.44 tff(2249,plain,
% 4.26/4.44 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_owned) | (~node56(I0, X))) <=> (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X))))),
% 4.26/4.44 inference(bind,[status(th)],[])).
% 4.26/4.44 tff(2250,plain,
% 4.26/4.44 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))),
% 4.26/4.44 inference(quant_intro,[status(thm)],[2249])).
% 4.26/4.44 tff(2251,plain,
% 4.26/4.44 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2252,axiom,(![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_122')).
% 4.26/4.44 tff(2253,plain,
% 4.26/4.44 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2252, 2251])).
% 4.26/4.44 tff(2254,plain,(
% 4.26/4.44 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))),
% 4.26/4.44 inference(skolemize,[status(sab)],[2253])).
% 4.26/4.44 tff(2255,plain,
% 4.26/4.44 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2254, 2250])).
% 4.26/4.44 tff(2256,plain,
% 4.26/4.44 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s3, c_owned) | (~node56(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s3, c_owned) | (~node56(c_p0, s3)))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2257,plain,
% 4.26/4.44 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s3, c_owned) | (~node56(c_p0, s3)))),
% 4.26/4.44 inference(quant_inst,[status(thm)],[])).
% 4.26/4.44 tff(2258,plain,
% 4.26/4.44 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s3, c_owned) | (~node56(c_p0, s3))),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2257, 2256])).
% 4.26/4.44 tff(2259,plain,
% 4.26/4.44 ($false),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2258, 2255, 2247, 2248])).
% 4.26/4.44 tff(2260,plain,((~node56(c_p0, s3)) | m_processor_v_state(c_p0, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.26/4.44 tff(2261,plain,
% 4.26/4.44 (~node56(c_p0, s3)),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2260, 2247])).
% 4.26/4.44 tff(2262,assumption,(m_processor_v_writable(c_p0, s3)), introduced(assumption)).
% 4.26/4.44 tff(2263,assumption,(~node56(c_p0, s3)), introduced(assumption)).
% 4.26/4.44 tff(2264,plain,
% 4.26/4.44 (^[I0: $i, X: $i] : refl(((~m_processor_v_writable(I0, X)) | node56(I0, X)) <=> ((~m_processor_v_writable(I0, X)) | node56(I0, X)))),
% 4.26/4.44 inference(bind,[status(th)],[])).
% 4.26/4.44 tff(2265,plain,
% 4.26/4.44 (![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))),
% 4.26/4.44 inference(quant_intro,[status(thm)],[2264])).
% 4.26/4.44 tff(2266,plain,
% 4.26/4.44 (![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2267,axiom,(![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_125')).
% 4.26/4.44 tff(2268,plain,
% 4.26/4.44 (![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2267, 2266])).
% 4.26/4.44 tff(2269,plain,(
% 4.26/4.44 ![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))),
% 4.26/4.44 inference(skolemize,[status(sab)],[2268])).
% 4.26/4.44 tff(2270,plain,
% 4.26/4.44 (![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2269, 2265])).
% 4.26/4.44 tff(2271,plain,
% 4.26/4.44 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s3)) | node56(c_p0, s3))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s3)) | node56(c_p0, s3))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2272,plain,
% 4.26/4.44 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s3)) | node56(c_p0, s3))),
% 4.26/4.44 inference(quant_inst,[status(thm)],[])).
% 4.26/4.44 tff(2273,plain,
% 4.26/4.44 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s3)) | node56(c_p0, s3)),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2272, 2271])).
% 4.26/4.44 tff(2274,plain,
% 4.26/4.44 ($false),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2273, 2270, 2263, 2262])).
% 4.26/4.44 tff(2275,plain,((~m_processor_v_writable(c_p0, s3)) | node56(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 4.26/4.44 tff(2276,plain,
% 4.26/4.44 (~m_processor_v_writable(c_p0, s3)),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2275, 2261])).
% 4.26/4.44 tff(2277,assumption,(~m_processor_v_writable(c_p0, s3)), introduced(assumption)).
% 4.26/4.44 tff(2278,assumption,(node67(s3)), introduced(assumption)).
% 4.26/4.44 tff(2279,plain,
% 4.26/4.44 (^[X: $i] : refl((m_processor_v_writable(c_p0, X) | (~node67(X))) <=> (m_processor_v_writable(c_p0, X) | (~node67(X))))),
% 4.26/4.44 inference(bind,[status(th)],[])).
% 4.26/4.44 tff(2280,plain,
% 4.26/4.44 (![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X))) <=> ![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))),
% 4.26/4.44 inference(quant_intro,[status(thm)],[2279])).
% 4.26/4.44 tff(2281,plain,
% 4.26/4.44 (![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X))) <=> ![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2282,axiom,(![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty1')).
% 4.26/4.44 tff(2283,plain,
% 4.26/4.44 (![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2282, 2281])).
% 4.26/4.44 tff(2284,plain,(
% 4.26/4.44 ![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))),
% 4.26/4.44 inference(skolemize,[status(sab)],[2283])).
% 4.26/4.44 tff(2285,plain,
% 4.26/4.44 (![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2284, 2280])).
% 4.26/4.44 tff(2286,plain,
% 4.26/4.44 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s3) | (~node67(s3)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s3) | (~node67(s3)))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2287,plain,
% 4.26/4.44 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s3) | (~node67(s3)))),
% 4.26/4.44 inference(quant_inst,[status(thm)],[])).
% 4.26/4.44 tff(2288,plain,
% 4.26/4.44 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s3) | (~node67(s3))),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2287, 2286])).
% 4.26/4.44 tff(2289,plain,
% 4.26/4.44 ($false),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2288, 2285, 2278, 2277])).
% 4.26/4.44 tff(2290,plain,((~node67(s3)) | m_processor_v_writable(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 4.26/4.44 tff(2291,plain,
% 4.26/4.44 (~node67(s3)),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2290, 2276])).
% 4.26/4.44 tff(2292,assumption,(node56(c_p0, s4)), introduced(assumption)).
% 4.26/4.44 tff(2293,assumption,(~m_processor_v_state(c_p0, s4, c_owned)), introduced(assumption)).
% 4.26/4.44 tff(2294,plain,
% 4.26/4.44 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s4, c_owned) | (~node56(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s4, c_owned) | (~node56(c_p0, s4)))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2295,plain,
% 4.26/4.44 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s4, c_owned) | (~node56(c_p0, s4)))),
% 4.26/4.44 inference(quant_inst,[status(thm)],[])).
% 4.26/4.44 tff(2296,plain,
% 4.26/4.44 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s4, c_owned) | (~node56(c_p0, s4))),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2295, 2294])).
% 4.26/4.44 tff(2297,plain,
% 4.26/4.44 ($false),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2296, 2255, 2293, 2292])).
% 4.26/4.44 tff(2298,plain,((~node56(c_p0, s4)) | m_processor_v_state(c_p0, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.26/4.44 tff(2299,plain,
% 4.26/4.44 (m_processor_v_state(c_p0, s4, c_owned)),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2298, 2292])).
% 4.26/4.44 tff(2300,plain,
% 4.26/4.44 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s4, c_invalid)) | (~m_processor_v_state(c_p0, s4, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s4, c_invalid)) | (~m_processor_v_state(c_p0, s4, c_owned)))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2301,plain,
% 4.26/4.44 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s4, c_invalid)) | (~m_processor_v_state(c_p0, s4, c_owned)))),
% 4.26/4.44 inference(quant_inst,[status(thm)],[])).
% 4.26/4.44 tff(2302,plain,
% 4.26/4.44 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s4, c_invalid)) | (~m_processor_v_state(c_p0, s4, c_owned))),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2301, 2300])).
% 4.26/4.44 tff(2303,plain,
% 4.26/4.44 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2302, 228, 2299])).
% 4.26/4.44 tff(2304,plain,
% 4.26/4.44 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p0, s4, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p0, s4, c_shared)))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2305,plain,
% 4.26/4.44 (((~m_processor_v_state(c_p0, s4, c_shared)) | (~m_processor_v_state(c_p0, s4, c_owned))) <=> ((~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p0, s4, c_shared)))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2306,plain,
% 4.26/4.44 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s4, c_shared)) | (~m_processor_v_state(c_p0, s4, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p0, s4, c_shared))))),
% 4.26/4.44 inference(monotonicity,[status(thm)],[2305])).
% 4.26/4.44 tff(2307,plain,
% 4.26/4.44 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s4, c_shared)) | (~m_processor_v_state(c_p0, s4, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p0, s4, c_shared)))),
% 4.26/4.44 inference(transitivity,[status(thm)],[2306, 2304])).
% 4.26/4.44 tff(2308,plain,
% 4.26/4.44 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s4, c_shared)) | (~m_processor_v_state(c_p0, s4, c_owned)))),
% 4.26/4.44 inference(quant_inst,[status(thm)],[])).
% 4.26/4.44 tff(2309,plain,
% 4.26/4.44 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p0, s4, c_shared))),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2308, 2307])).
% 4.26/4.44 tff(2310,plain,
% 4.26/4.44 (~m_processor_v_state(c_p0, s4, c_shared)),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2309, 1373, 2299])).
% 4.26/4.44 tff(2311,assumption,(~m_processor_v_state(c_p0, s4, c_invalid)), introduced(assumption)).
% 4.26/4.44 tff(2312,assumption,(~m_processor_v_state(c_p0, s4, c_shared)), introduced(assumption)).
% 4.26/4.44 tff(2313,assumption,(~m_processor_v_master(c_p0, s3)), introduced(assumption)).
% 4.26/4.44 tff(2314,assumption,(~node37(c_p0, s3, s4)), introduced(assumption)).
% 4.26/4.44 tff(2315,assumption,(~m_processor_v_state(c_p0, s3, c_shared)), introduced(assumption)).
% 4.26/4.44 tff(2316,plain,
% 4.26/4.44 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2317,plain,
% 4.26/4.44 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid))),
% 4.26/4.44 inference(quant_inst,[status(thm)],[])).
% 4.26/4.44 tff(2318,plain,
% 4.26/4.44 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid)),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 4.26/4.44 tff(2319,plain,
% 4.26/4.44 (m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid)),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2318, 1780, 2247])).
% 4.26/4.44 tff(2320,plain,
% 4.26/4.44 (m_processor_v_state(c_p0, s3, c_invalid)),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2319, 2315])).
% 4.26/4.44 tff(2321,assumption,(node32(c_p0, s3, s4)), introduced(assumption)).
% 4.26/4.44 tff(2322,assumption,(m_processor_v_state(c_p0, s3, c_invalid)), introduced(assumption)).
% 4.26/4.44 tff(2323,plain,
% 4.26/4.44 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node32(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node32(c_p0, s3, s4)))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2324,plain,
% 4.26/4.44 (((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid)) <=> ((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node32(c_p0, s3, s4)))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2325,plain,
% 4.26/4.44 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node32(c_p0, s3, s4))))),
% 4.26/4.44 inference(monotonicity,[status(thm)],[2324])).
% 4.26/4.44 tff(2326,plain,
% 4.26/4.44 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node32(c_p0, s3, s4)))),
% 4.26/4.44 inference(transitivity,[status(thm)],[2325, 2323])).
% 4.26/4.44 tff(2327,plain,
% 4.26/4.44 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid))),
% 4.26/4.44 inference(quant_inst,[status(thm)],[])).
% 4.26/4.44 tff(2328,plain,
% 4.26/4.44 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node32(c_p0, s3, s4))),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2327, 2326])).
% 4.26/4.44 tff(2329,plain,
% 4.26/4.44 ($false),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2328, 28, 2322, 2311, 2321])).
% 4.26/4.44 tff(2330,plain,((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.26/4.44 tff(2331,plain,
% 4.26/4.44 (~node32(c_p0, s3, s4)),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2330, 2320, 2311])).
% 4.26/4.44 tff(2332,assumption,(~node38(c_p0, s3, s4)), introduced(assumption)).
% 4.26/4.44 tff(2333,plain,
% 4.26/4.44 (succ(s3, s4) <=> succ(s3, s4)),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2334,axiom,(succ(s3, s4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound4')).
% 4.26/4.44 tff(2335,plain,
% 4.26/4.44 (succ(s3, s4)),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2334, 2333])).
% 4.26/4.44 tff(2336,plain,
% 4.26/4.44 (((~![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))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2337,plain,
% 4.26/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))),
% 4.26/4.44 inference(quant_inst,[status(thm)],[])).
% 4.26/4.44 tff(2338,plain,
% 4.26/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4)),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2337, 2336])).
% 4.26/4.44 tff(2339,plain,
% 4.26/4.44 (trans(s3, s4)),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2338, 2335, 47])).
% 4.26/4.44 tff(2340,plain,
% 4.26/4.44 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s3, s4)) | node38(c_p0, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s3, s4)) | node38(c_p0, s3, s4))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2341,plain,
% 4.26/4.44 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s3, s4)) | node38(c_p0, s3, s4))),
% 4.26/4.44 inference(quant_inst,[status(thm)],[])).
% 4.26/4.44 tff(2342,plain,
% 4.26/4.44 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s3, s4)) | node38(c_p0, s3, s4)),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2341, 2340])).
% 4.26/4.44 tff(2343,plain,
% 4.26/4.44 ($false),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2342, 61, 2339, 2332])).
% 4.26/4.44 tff(2344,plain,(node38(c_p0, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 4.26/4.44 tff(2345,plain,
% 4.26/4.44 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s3, s4) | (~m_processor_v_abort(c_p0, s3)) | (~node38(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s3, s4) | (~m_processor_v_abort(c_p0, s3)) | (~node38(c_p0, s3, s4)))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2346,plain,
% 4.26/4.44 ((node32(c_p0, s3, s4) | (~node38(c_p0, s3, s4)) | (~m_processor_v_abort(c_p0, s3))) <=> (node32(c_p0, s3, s4) | (~m_processor_v_abort(c_p0, s3)) | (~node38(c_p0, s3, s4)))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2347,plain,
% 4.26/4.44 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s3, s4) | (~node38(c_p0, s3, s4)) | (~m_processor_v_abort(c_p0, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s3, s4) | (~m_processor_v_abort(c_p0, s3)) | (~node38(c_p0, s3, s4))))),
% 4.26/4.44 inference(monotonicity,[status(thm)],[2346])).
% 4.26/4.44 tff(2348,plain,
% 4.26/4.44 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s3, s4) | (~node38(c_p0, s3, s4)) | (~m_processor_v_abort(c_p0, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s3, s4) | (~m_processor_v_abort(c_p0, s3)) | (~node38(c_p0, s3, s4)))),
% 4.26/4.44 inference(transitivity,[status(thm)],[2347, 2345])).
% 4.26/4.44 tff(2349,plain,
% 4.26/4.44 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s3, s4) | (~node38(c_p0, s3, s4)) | (~m_processor_v_abort(c_p0, s3)))),
% 4.26/4.44 inference(quant_inst,[status(thm)],[])).
% 4.26/4.44 tff(2350,plain,
% 4.26/4.44 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s3, s4) | (~m_processor_v_abort(c_p0, s3)) | (~node38(c_p0, s3, s4))),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2349, 2348])).
% 4.26/4.44 tff(2351,plain,
% 4.26/4.44 (node32(c_p0, s3, s4) | (~m_processor_v_abort(c_p0, s3))),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2350, 76, 2344])).
% 4.26/4.44 tff(2352,plain,
% 4.26/4.44 (~m_processor_v_abort(c_p0, s3)),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2351, 2331])).
% 4.26/4.44 tff(2353,plain,
% 4.26/4.44 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node37(c_p0, s3, s4) | (~node38(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node37(c_p0, s3, s4) | (~node38(c_p0, s3, s4)))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2354,plain,
% 4.26/4.44 ((m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_master(c_p0, s3) | node37(c_p0, s3, s4) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3)) <=> (m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node37(c_p0, s3, s4) | (~node38(c_p0, s3, s4)))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2355,plain,
% 4.26/4.44 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_master(c_p0, s3) | node37(c_p0, s3, s4) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node37(c_p0, s3, s4) | (~node38(c_p0, s3, s4))))),
% 4.26/4.44 inference(monotonicity,[status(thm)],[2354])).
% 4.26/4.44 tff(2356,plain,
% 4.26/4.44 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_master(c_p0, s3) | node37(c_p0, s3, s4) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node37(c_p0, s3, s4) | (~node38(c_p0, s3, s4)))),
% 4.26/4.44 inference(transitivity,[status(thm)],[2355, 2353])).
% 4.26/4.44 tff(2357,plain,
% 4.26/4.44 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_master(c_p0, s3) | node37(c_p0, s3, s4) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))),
% 4.26/4.44 inference(quant_inst,[status(thm)],[])).
% 4.26/4.44 tff(2358,plain,
% 4.26/4.44 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node37(c_p0, s3, s4) | (~node38(c_p0, s3, s4))),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2357, 2356])).
% 4.26/4.44 tff(2359,plain,
% 4.26/4.44 (m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node37(c_p0, s3, s4)),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2358, 134, 2344])).
% 4.26/4.44 tff(2360,plain,
% 4.26/4.44 (node36(c_p0, s3)),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2359, 2352, 2313, 2315, 2314])).
% 4.26/4.44 tff(2361,plain,
% 4.26/4.44 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s3, c_shared) | (~node36(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s3, c_shared) | (~node36(c_p0, s3)))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2362,plain,
% 4.26/4.44 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s3, c_shared) | (~node36(c_p0, s3)))),
% 4.26/4.44 inference(quant_inst,[status(thm)],[])).
% 4.26/4.44 tff(2363,plain,
% 4.26/4.44 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s3, c_shared) | (~node36(c_p0, s3))),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[2362, 2361])).
% 4.26/4.44 tff(2364,plain,
% 4.26/4.44 ($false),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2363, 118, 2315, 2360])).
% 4.26/4.44 tff(2365,plain,(m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_master(c_p0, s3) | node37(c_p0, s3, s4) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_state(c_p0, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.26/4.44 tff(2366,plain,
% 4.26/4.44 (m_processor_v_state(c_p0, s3, c_shared)),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[2365, 2313, 2247, 2314, 2311])).
% 4.26/4.44 tff(2367,assumption,(m_processor_v_state(c_p0, s3, c_shared)), introduced(assumption)).
% 4.26/4.44 tff(2368,assumption,(~m_processor_v_abort(c_p0, s3)), introduced(assumption)).
% 4.26/4.44 tff(2369,plain,
% 4.26/4.44 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p0, s3) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s3) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(2370,plain,
% 4.26/4.44 (((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_master(c_p0, s3) | node35(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3)) <=> (node35(c_p0, s3) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.45 tff(2371,plain,
% 4.26/4.45 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_master(c_p0, s3) | node35(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p0, s3) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4))))),
% 4.26/4.45 inference(monotonicity,[status(thm)],[2370])).
% 4.26/4.45 tff(2372,plain,
% 4.26/4.45 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_master(c_p0, s3) | node35(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s3) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)))),
% 4.26/4.45 inference(transitivity,[status(thm)],[2371, 2369])).
% 4.26/4.45 tff(2373,plain,
% 4.26/4.45 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_master(c_p0, s3) | node35(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))),
% 4.26/4.45 inference(quant_inst,[status(thm)],[])).
% 4.26/4.45 tff(2374,plain,
% 4.26/4.45 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s3) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4))),
% 4.26/4.45 inference(modus_ponens,[status(thm)],[2373, 2372])).
% 4.26/4.45 tff(2375,plain,
% 4.26/4.45 (node35(c_p0, s3) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid)),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[2374, 1948, 2344])).
% 4.26/4.45 tff(2376,plain,
% 4.26/4.45 (node35(c_p0, s3)),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[2375, 2368, 2367, 2311, 2313])).
% 4.26/4.45 tff(2377,plain,
% 4.26/4.45 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s3, c_invalidate)) | (~node35(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s3, c_invalidate)) | (~node35(c_p0, s3)))),
% 4.26/4.45 inference(rewrite,[status(thm)],[])).
% 4.26/4.45 tff(2378,plain,
% 4.26/4.45 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s3, c_invalidate)) | (~node35(c_p0, s3)))),
% 4.26/4.45 inference(quant_inst,[status(thm)],[])).
% 4.26/4.45 tff(2379,plain,
% 4.26/4.45 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s3, c_invalidate)) | (~node35(c_p0, s3))),
% 4.26/4.45 inference(modus_ponens,[status(thm)],[2378, 2377])).
% 4.26/4.45 tff(2380,plain,
% 4.26/4.45 (~m_processor_v_CMD(c_p0, s3, c_invalidate)),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[2379, 2031, 2376])).
% 4.26/4.45 tff(2381,plain,
% 4.26/4.45 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~node35(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~node35(c_p0, s3)))),
% 4.26/4.45 inference(rewrite,[status(thm)],[])).
% 4.26/4.45 tff(2382,plain,
% 4.26/4.45 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~node35(c_p0, s3)))),
% 4.26/4.45 inference(quant_inst,[status(thm)],[])).
% 4.26/4.45 tff(2383,plain,
% 4.26/4.45 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~node35(c_p0, s3))),
% 4.26/4.45 inference(modus_ponens,[status(thm)],[2382, 2381])).
% 4.26/4.45 tff(2384,plain,
% 4.26/4.45 (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[2383, 1966, 2376])).
% 4.26/4.45 tff(2385,plain,
% 4.26/4.45 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)))),
% 4.26/4.45 inference(rewrite,[status(thm)],[])).
% 4.26/4.45 tff(2386,plain,
% 4.26/4.45 (((~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3)) <=> (m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)))),
% 4.26/4.45 inference(rewrite,[status(thm)],[])).
% 4.26/4.45 tff(2387,plain,
% 4.26/4.45 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4))))),
% 4.26/4.45 inference(monotonicity,[status(thm)],[2386])).
% 4.26/4.45 tff(2388,plain,
% 4.26/4.45 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)))),
% 4.26/4.45 inference(transitivity,[status(thm)],[2387, 2385])).
% 4.26/4.45 tff(2389,plain,
% 4.26/4.45 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))),
% 4.26/4.45 inference(quant_inst,[status(thm)],[])).
% 4.26/4.45 tff(2390,plain,
% 4.26/4.45 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4))),
% 4.26/4.45 inference(modus_ponens,[status(thm)],[2389, 2388])).
% 4.26/4.45 tff(2391,plain,
% 4.26/4.45 (m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid)),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[2390, 2049, 2344])).
% 4.26/4.45 tff(2392,plain,
% 4.26/4.45 (node36(c_p0, s3)),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[2391, 2368, 2313, 2367, 2312, 2311])).
% 4.26/4.45 tff(2393,plain,
% 4.26/4.45 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node36(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_invalidate))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node36(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_invalidate))),
% 4.26/4.45 inference(rewrite,[status(thm)],[])).
% 4.26/4.45 tff(2394,plain,
% 4.26/4.45 ((m_processor_v_CMD(c_p0, s3, c_invalidate) | (~node36(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node36(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_invalidate))),
% 4.26/4.45 inference(rewrite,[status(thm)],[])).
% 4.26/4.45 tff(2395,plain,
% 4.26/4.45 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s3, c_invalidate) | (~node36(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node36(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_invalidate)))),
% 4.26/4.45 inference(monotonicity,[status(thm)],[2394])).
% 4.26/4.45 tff(2396,plain,
% 4.26/4.45 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s3, c_invalidate) | (~node36(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node36(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_invalidate))),
% 4.26/4.45 inference(transitivity,[status(thm)],[2395, 2393])).
% 4.26/4.45 tff(2397,plain,
% 4.26/4.45 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s3, c_invalidate) | (~node36(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned))),
% 4.26/4.45 inference(quant_inst,[status(thm)],[])).
% 4.26/4.45 tff(2398,plain,
% 4.26/4.45 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node36(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_invalidate)),
% 4.26/4.45 inference(modus_ponens,[status(thm)],[2397, 2396])).
% 4.26/4.45 tff(2399,plain,
% 4.26/4.45 ($false),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[2398, 2067, 2392, 2384, 2380])).
% 4.26/4.45 tff(2400,plain,(m_processor_v_abort(c_p0, s3) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.26/4.45 tff(2401,plain,
% 4.26/4.45 (m_processor_v_abort(c_p0, s3)),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[2400, 2367, 2313, 2312, 2311])).
% 4.26/4.45 tff(2402,plain,
% 4.26/4.45 (node32(c_p0, s3, s4)),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[2351, 2401])).
% 4.26/4.45 tff(2403,plain,
% 4.26/4.45 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node32(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node32(c_p0, s3, s4)))),
% 4.26/4.45 inference(rewrite,[status(thm)],[])).
% 4.26/4.45 tff(2404,plain,
% 4.26/4.45 (((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared)) <=> ((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node32(c_p0, s3, s4)))),
% 4.26/4.45 inference(rewrite,[status(thm)],[])).
% 4.26/4.45 tff(2405,plain,
% 4.26/4.45 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node32(c_p0, s3, s4))))),
% 4.26/4.45 inference(monotonicity,[status(thm)],[2404])).
% 4.26/4.45 tff(2406,plain,
% 4.26/4.45 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node32(c_p0, s3, s4)))),
% 4.26/4.45 inference(transitivity,[status(thm)],[2405, 2403])).
% 4.26/4.45 tff(2407,plain,
% 4.26/4.45 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared))),
% 4.26/4.45 inference(quant_inst,[status(thm)],[])).
% 4.26/4.45 tff(2408,plain,
% 4.26/4.45 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node32(c_p0, s3, s4))),
% 4.26/4.45 inference(modus_ponens,[status(thm)],[2407, 2406])).
% 4.26/4.45 tff(2409,plain,
% 4.26/4.45 ($false),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[2408, 28, 2367, 2312, 2402])).
% 4.26/4.45 tff(2410,plain,((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.45 tff(2411,plain,
% 4.30/4.45 ($false),
% 4.30/4.45 inference(unit_resolution,[status(thm)],[2410, 2366, 2313, 2312, 2311])).
% 4.30/4.45 tff(2412,plain,(m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_state(c_p0, s3, c_owned) | node37(c_p0, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.45 tff(2413,plain,
% 4.30/4.45 (node37(c_p0, s3, s4)),
% 4.30/4.45 inference(unit_resolution,[status(thm)],[2412, 2313, 2311, 2312, 2247])).
% 4.30/4.45 tff(2414,assumption,(node37(c_p0, s3, s4)), introduced(assumption)).
% 4.30/4.45 tff(2415,plain,
% 4.30/4.45 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | (~node37(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~node37(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid))),
% 4.30/4.45 inference(rewrite,[status(thm)],[])).
% 4.30/4.45 tff(2416,plain,
% 4.30/4.45 (((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node37(c_p0, s3, s4))) <=> ((~m_processor_v_state(c_p0, s3, c_invalid)) | (~node37(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid))),
% 4.30/4.45 inference(rewrite,[status(thm)],[])).
% 4.30/4.45 tff(2417,plain,
% 4.30/4.45 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node37(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | (~node37(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid)))),
% 4.30/4.45 inference(monotonicity,[status(thm)],[2416])).
% 4.30/4.45 tff(2418,plain,
% 4.30/4.45 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node37(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~node37(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid))),
% 4.30/4.45 inference(transitivity,[status(thm)],[2417, 2415])).
% 4.30/4.45 tff(2419,plain,
% 4.30/4.45 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node37(c_p0, s3, s4)))),
% 4.30/4.45 inference(quant_inst,[status(thm)],[])).
% 4.30/4.45 tff(2420,plain,
% 4.30/4.45 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~node37(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid)),
% 4.30/4.45 inference(modus_ponens,[status(thm)],[2419, 2418])).
% 4.30/4.45 tff(2421,plain,
% 4.30/4.45 ($false),
% 4.30/4.45 inference(unit_resolution,[status(thm)],[2420, 95, 2322, 2414, 2311])).
% 4.30/4.45 tff(2422,plain,((~m_processor_v_state(c_p0, s3, c_invalid)) | (~node37(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.45 tff(2423,plain,
% 4.30/4.45 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 4.30/4.45 inference(unit_resolution,[status(thm)],[2422, 2413, 2311])).
% 4.30/4.45 tff(2424,plain,
% 4.30/4.45 (~m_processor_v_state(c_p0, s3, c_shared)),
% 4.30/4.45 inference(unit_resolution,[status(thm)],[2410, 2313, 2312, 2311])).
% 4.30/4.45 tff(2425,plain,
% 4.30/4.45 ($false),
% 4.30/4.45 inference(unit_resolution,[status(thm)],[2318, 1780, 2424, 2423, 2247])).
% 4.30/4.45 tff(2426,plain,(m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_state(c_p0, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.45 tff(2427,plain,
% 4.30/4.45 (m_processor_v_master(c_p0, s3)),
% 4.30/4.45 inference(unit_resolution,[status(thm)],[2426, 2312, 2247, 2311])).
% 4.30/4.45 tff(2428,plain,
% 4.30/4.45 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~m_processor_v_master(c_p1, s3)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s3)) | (~m_processor_v_master(c_p1, s3)))),
% 4.30/4.45 inference(rewrite,[status(thm)],[])).
% 4.30/4.45 tff(2429,plain,
% 4.30/4.45 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~m_processor_v_master(c_p1, s3)))),
% 4.30/4.45 inference(quant_inst,[status(thm)],[])).
% 4.30/4.45 tff(2430,plain,
% 4.30/4.45 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s3)) | (~m_processor_v_master(c_p1, s3))),
% 4.30/4.45 inference(modus_ponens,[status(thm)],[2429, 2428])).
% 4.30/4.45 tff(2431,plain,
% 4.30/4.45 (~m_processor_v_master(c_p1, s3)),
% 4.30/4.45 inference(unit_resolution,[status(thm)],[2430, 815, 2427])).
% 4.30/4.45 tff(2432,assumption,(~m_processor_v_master(c_p1, s3)), introduced(assumption)).
% 4.30/4.45 tff(2433,plain,
% 4.30/4.45 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node62(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node62(c_p1, s3)))),
% 4.30/4.45 inference(rewrite,[status(thm)],[])).
% 4.30/4.45 tff(2434,plain,
% 4.30/4.45 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node62(c_p1, s3)))),
% 4.30/4.45 inference(quant_inst,[status(thm)],[])).
% 4.30/4.45 tff(2435,plain,
% 4.30/4.45 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node62(c_p1, s3))),
% 4.30/4.45 inference(modus_ponens,[status(thm)],[2434, 2433])).
% 4.30/4.45 tff(2436,plain,
% 4.30/4.45 (~node62(c_p1, s3)),
% 4.30/4.45 inference(unit_resolution,[status(thm)],[2435, 757, 2432])).
% 4.30/4.45 tff(2437,plain,
% 4.30/4.45 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node63(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node63(c_p1, s3)))),
% 4.30/4.45 inference(rewrite,[status(thm)],[])).
% 4.30/4.45 tff(2438,plain,
% 4.30/4.45 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node63(c_p1, s3)))),
% 4.30/4.45 inference(quant_inst,[status(thm)],[])).
% 4.30/4.45 tff(2439,plain,
% 4.30/4.45 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node63(c_p1, s3))),
% 4.30/4.45 inference(modus_ponens,[status(thm)],[2438, 2437])).
% 4.30/4.45 tff(2440,plain,
% 4.30/4.45 (~node63(c_p1, s3)),
% 4.30/4.45 inference(unit_resolution,[status(thm)],[2439, 788, 2432])).
% 4.30/4.45 tff(2441,plain,
% 4.30/4.45 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node66(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node66(c_p1, s3)))),
% 4.30/4.45 inference(rewrite,[status(thm)],[])).
% 4.30/4.45 tff(2442,plain,
% 4.30/4.45 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node66(c_p1, s3)))),
% 4.30/4.45 inference(quant_inst,[status(thm)],[])).
% 4.30/4.45 tff(2443,plain,
% 4.30/4.45 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node66(c_p1, s3))),
% 4.30/4.45 inference(modus_ponens,[status(thm)],[2442, 2441])).
% 4.30/4.45 tff(2444,plain,
% 4.30/4.45 (~node66(c_p1, s3)),
% 4.30/4.45 inference(unit_resolution,[status(thm)],[2443, 801, 2432])).
% 4.30/4.45 tff(2445,assumption,(~m_processor_v_cmd(c_p1, s3, c_idle)), introduced(assumption)).
% 4.30/4.45 tff(2446,plain,
% 4.30/4.45 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node65(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node65(c_p1, s3)))),
% 4.30/4.45 inference(rewrite,[status(thm)],[])).
% 4.30/4.45 tff(2447,plain,
% 4.30/4.45 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node65(c_p1, s3)))),
% 4.30/4.45 inference(quant_inst,[status(thm)],[])).
% 4.30/4.45 tff(2448,plain,
% 4.30/4.45 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node65(c_p1, s3))),
% 4.30/4.45 inference(modus_ponens,[status(thm)],[2447, 2446])).
% 4.30/4.45 tff(2449,plain,
% 4.30/4.45 (~node65(c_p1, s3)),
% 4.30/4.45 inference(unit_resolution,[status(thm)],[2448, 740, 2432])).
% 4.30/4.45 tff(2450,plain,
% 4.30/4.45 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node64(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node64(c_p1, s3)))),
% 4.30/4.45 inference(rewrite,[status(thm)],[])).
% 4.30/4.45 tff(2451,plain,
% 4.30/4.45 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node64(c_p1, s3)))),
% 4.30/4.45 inference(quant_inst,[status(thm)],[])).
% 4.30/4.45 tff(2452,plain,
% 4.30/4.45 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node64(c_p1, s3))),
% 4.30/4.45 inference(modus_ponens,[status(thm)],[2451, 2450])).
% 4.30/4.45 tff(2453,plain,
% 4.30/4.45 (~node64(c_p1, s3)),
% 4.30/4.45 inference(unit_resolution,[status(thm)],[2452, 726, 2432])).
% 4.30/4.45 tff(2454,plain,
% 4.30/4.45 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_idle) | node66(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_idle) | node66(c_p1, s3))),
% 4.30/4.45 inference(rewrite,[status(thm)],[])).
% 4.30/4.45 tff(2455,plain,
% 4.30/4.45 ((m_processor_v_cmd(c_p1, s3, c_idle) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3) | node66(c_p1, s3)) <=> (node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_idle) | node66(c_p1, s3))),
% 4.30/4.45 inference(rewrite,[status(thm)],[])).
% 4.30/4.45 tff(2456,plain,
% 4.30/4.45 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_idle) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3) | node66(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_idle) | node66(c_p1, s3)))),
% 4.30/4.45 inference(monotonicity,[status(thm)],[2455])).
% 4.30/4.45 tff(2457,plain,
% 4.30/4.45 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_idle) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3) | node66(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_idle) | node66(c_p1, s3))),
% 4.30/4.45 inference(transitivity,[status(thm)],[2456, 2454])).
% 4.30/4.45 tff(2458,plain,
% 4.30/4.45 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_idle) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3) | node66(c_p1, s3))),
% 4.30/4.45 inference(quant_inst,[status(thm)],[])).
% 4.30/4.45 tff(2459,plain,
% 4.30/4.45 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_idle) | node66(c_p1, s3)),
% 4.30/4.45 inference(modus_ponens,[status(thm)],[2458, 2457])).
% 4.30/4.45 tff(2460,plain,
% 4.30/4.45 ($false),
% 4.30/4.45 inference(unit_resolution,[status(thm)],[2459, 773, 2453, 2449, 2445, 2444, 2440, 2436])).
% 4.30/4.45 tff(2461,plain,(m_processor_v_master(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.45 tff(2462,plain,
% 4.30/4.45 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 4.30/4.45 inference(unit_resolution,[status(thm)],[2461, 2431])).
% 4.30/4.45 tff(2463,plain,
% 4.30/4.45 (^[X: $i] : refl(((~node16(X)) | (~m_processor_v_master(c_p0, X))) <=> ((~node16(X)) | (~m_processor_v_master(c_p0, X))))),
% 4.30/4.45 inference(bind,[status(th)],[])).
% 4.30/4.45 tff(2464,plain,
% 4.30/4.45 (![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X))) <=> ![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))),
% 4.30/4.45 inference(quant_intro,[status(thm)],[2463])).
% 4.30/4.45 tff(2465,plain,
% 4.30/4.45 (![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X))) <=> ![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))),
% 4.30/4.45 inference(rewrite,[status(thm)],[])).
% 4.30/4.45 tff(2466,plain,
% 4.30/4.45 (^[X: $i] : rewrite(((~m_processor_v_master(c_p0, X)) | (~node16(X))) <=> ((~node16(X)) | (~m_processor_v_master(c_p0, X))))),
% 4.30/4.45 inference(bind,[status(th)],[])).
% 4.30/4.45 tff(2467,plain,
% 4.30/4.45 (![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node16(X))) <=> ![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))),
% 4.30/4.45 inference(quant_intro,[status(thm)],[2466])).
% 4.30/4.45 tff(2468,axiom,(![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node16(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_118')).
% 4.30/4.45 tff(2469,plain,
% 4.30/4.45 (![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))),
% 4.30/4.45 inference(modus_ponens,[status(thm)],[2468, 2467])).
% 4.30/4.45 tff(2470,plain,
% 4.30/4.45 (![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))),
% 4.30/4.45 inference(modus_ponens,[status(thm)],[2469, 2465])).
% 4.30/4.45 tff(2471,plain,(
% 4.30/4.45 ![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))),
% 4.30/4.45 inference(skolemize,[status(sab)],[2470])).
% 4.30/4.45 tff(2472,plain,
% 4.30/4.45 (![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))),
% 4.30/4.45 inference(modus_ponens,[status(thm)],[2471, 2464])).
% 4.30/4.45 tff(2473,plain,
% 4.30/4.45 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s3)) | (~m_processor_v_master(c_p0, s3)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s3)) | (~m_processor_v_master(c_p0, s3)))),
% 4.30/4.45 inference(rewrite,[status(thm)],[])).
% 4.30/4.45 tff(2474,plain,
% 4.30/4.45 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s3)) | (~m_processor_v_master(c_p0, s3)))),
% 4.30/4.45 inference(quant_inst,[status(thm)],[])).
% 4.30/4.45 tff(2475,plain,
% 4.30/4.45 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s3)) | (~m_processor_v_master(c_p0, s3))),
% 4.30/4.45 inference(modus_ponens,[status(thm)],[2474, 2473])).
% 4.30/4.45 tff(2476,plain,
% 4.30/4.45 (~node16(s3)),
% 4.30/4.45 inference(unit_resolution,[status(thm)],[2475, 2472, 2427])).
% 4.30/4.45 tff(2477,assumption,(~node16(s3)), introduced(assumption)).
% 4.30/4.45 tff(2478,assumption,(m_processor_v_master(c_p2, s3)), introduced(assumption)).
% 4.30/4.45 tff(2479,plain,
% 4.30/4.45 (((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s3) | (~m_processor_v_master(c_p2, s3)))) <=> ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s3) | (~m_processor_v_master(c_p2, s3)))),
% 4.30/4.45 inference(rewrite,[status(thm)],[])).
% 4.30/4.45 tff(2480,plain,
% 4.30/4.45 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s3) | (~m_processor_v_master(c_p2, s3)))),
% 4.30/4.45 inference(quant_inst,[status(thm)],[])).
% 4.30/4.45 tff(2481,plain,
% 4.30/4.45 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s3) | (~m_processor_v_master(c_p2, s3))),
% 4.30/4.45 inference(modus_ponens,[status(thm)],[2480, 2479])).
% 4.30/4.45 tff(2482,plain,
% 4.30/4.45 ($false),
% 4.30/4.45 inference(unit_resolution,[status(thm)],[2481, 710, 2478, 2477])).
% 4.30/4.45 tff(2483,plain,(node16(s3) | (~m_processor_v_master(c_p2, s3))), inference(lemma,lemma(discharge,[]))).
% 4.30/4.45 tff(2484,plain,
% 4.30/4.45 (~m_processor_v_master(c_p2, s3)),
% 4.30/4.45 inference(unit_resolution,[status(thm)],[2483, 2476])).
% 4.30/4.46 tff(2485,assumption,(node65(c_p2, s3)), introduced(assumption)).
% 4.30/4.46 tff(2486,assumption,(~m_processor_v_master(c_p2, s3)), introduced(assumption)).
% 4.30/4.46 tff(2487,plain,
% 4.30/4.46 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node65(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node65(c_p2, s3)))),
% 4.30/4.46 inference(rewrite,[status(thm)],[])).
% 4.30/4.46 tff(2488,plain,
% 4.30/4.46 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node65(c_p2, s3)))),
% 4.30/4.46 inference(quant_inst,[status(thm)],[])).
% 4.30/4.46 tff(2489,plain,
% 4.30/4.46 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node65(c_p2, s3))),
% 4.30/4.46 inference(modus_ponens,[status(thm)],[2488, 2487])).
% 4.30/4.46 tff(2490,plain,
% 4.30/4.46 ($false),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2489, 740, 2486, 2485])).
% 4.30/4.46 tff(2491,plain,((~node65(c_p2, s3)) | m_processor_v_master(c_p2, s3)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.46 tff(2492,plain,
% 4.30/4.46 (~node65(c_p2, s3)),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2491, 2484])).
% 4.30/4.46 tff(2493,assumption,(node64(c_p2, s3)), introduced(assumption)).
% 4.30/4.46 tff(2494,plain,
% 4.30/4.46 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node64(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node64(c_p2, s3)))),
% 4.30/4.46 inference(rewrite,[status(thm)],[])).
% 4.30/4.46 tff(2495,plain,
% 4.30/4.46 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node64(c_p2, s3)))),
% 4.30/4.46 inference(quant_inst,[status(thm)],[])).
% 4.30/4.46 tff(2496,plain,
% 4.30/4.46 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node64(c_p2, s3))),
% 4.30/4.46 inference(modus_ponens,[status(thm)],[2495, 2494])).
% 4.30/4.46 tff(2497,plain,
% 4.30/4.46 ($false),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2496, 726, 2486, 2493])).
% 4.30/4.46 tff(2498,plain,((~node64(c_p2, s3)) | m_processor_v_master(c_p2, s3)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.46 tff(2499,plain,
% 4.30/4.46 (~node64(c_p2, s3)),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2498, 2486])).
% 4.30/4.46 tff(2500,assumption,(node62(c_p2, s3)), introduced(assumption)).
% 4.30/4.46 tff(2501,plain,
% 4.30/4.46 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node62(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node62(c_p2, s3)))),
% 4.30/4.46 inference(rewrite,[status(thm)],[])).
% 4.30/4.46 tff(2502,plain,
% 4.30/4.46 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node62(c_p2, s3)))),
% 4.30/4.46 inference(quant_inst,[status(thm)],[])).
% 4.30/4.46 tff(2503,plain,
% 4.30/4.46 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node62(c_p2, s3))),
% 4.30/4.46 inference(modus_ponens,[status(thm)],[2502, 2501])).
% 4.30/4.46 tff(2504,plain,
% 4.30/4.46 ($false),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2503, 757, 2500, 2486])).
% 4.30/4.46 tff(2505,plain,((~node62(c_p2, s3)) | m_processor_v_master(c_p2, s3)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.46 tff(2506,plain,
% 4.30/4.46 (~node62(c_p2, s3)),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2505, 2486])).
% 4.30/4.46 tff(2507,assumption,(~m_processor_v_cmd(c_p2, s3, c_idle)), introduced(assumption)).
% 4.30/4.46 tff(2508,assumption,(~node65(c_p2, s3)), introduced(assumption)).
% 4.30/4.46 tff(2509,assumption,(node66(c_p2, s3)), introduced(assumption)).
% 4.30/4.46 tff(2510,plain,
% 4.30/4.46 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node66(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node66(c_p2, s3)))),
% 4.30/4.46 inference(rewrite,[status(thm)],[])).
% 4.30/4.46 tff(2511,plain,
% 4.30/4.46 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node66(c_p2, s3)))),
% 4.30/4.46 inference(quant_inst,[status(thm)],[])).
% 4.30/4.46 tff(2512,plain,
% 4.30/4.46 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node66(c_p2, s3))),
% 4.30/4.46 inference(modus_ponens,[status(thm)],[2511, 2510])).
% 4.30/4.46 tff(2513,plain,
% 4.30/4.46 ($false),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2512, 801, 2486, 2509])).
% 4.30/4.46 tff(2514,plain,((~node66(c_p2, s3)) | m_processor_v_master(c_p2, s3)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.46 tff(2515,plain,
% 4.30/4.46 (~node66(c_p2, s3)),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2514, 2486])).
% 4.30/4.46 tff(2516,assumption,(node63(c_p2, s3)), introduced(assumption)).
% 4.30/4.46 tff(2517,plain,
% 4.30/4.46 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node63(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node63(c_p2, s3)))),
% 4.30/4.46 inference(rewrite,[status(thm)],[])).
% 4.30/4.46 tff(2518,plain,
% 4.30/4.46 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node63(c_p2, s3)))),
% 4.30/4.46 inference(quant_inst,[status(thm)],[])).
% 4.30/4.46 tff(2519,plain,
% 4.30/4.46 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node63(c_p2, s3))),
% 4.30/4.46 inference(modus_ponens,[status(thm)],[2518, 2517])).
% 4.30/4.46 tff(2520,plain,
% 4.30/4.46 ($false),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2519, 788, 2516, 2486])).
% 4.30/4.46 tff(2521,plain,((~node63(c_p2, s3)) | m_processor_v_master(c_p2, s3)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.46 tff(2522,plain,
% 4.30/4.46 (~node63(c_p2, s3)),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2521, 2486])).
% 4.30/4.46 tff(2523,assumption,(~node64(c_p2, s3)), introduced(assumption)).
% 4.30/4.46 tff(2524,assumption,(~node66(c_p2, s3)), introduced(assumption)).
% 4.30/4.46 tff(2525,assumption,(~node62(c_p2, s3)), introduced(assumption)).
% 4.30/4.46 tff(2526,assumption,(~node63(c_p2, s3)), introduced(assumption)).
% 4.30/4.46 tff(2527,plain,
% 4.30/4.46 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s3, c_idle) | node66(c_p2, s3) | node65(c_p2, s3) | node64(c_p2, s3) | node63(c_p2, s3) | node62(c_p2, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s3, c_idle) | node66(c_p2, s3) | node65(c_p2, s3) | node64(c_p2, s3) | node63(c_p2, s3) | node62(c_p2, s3))),
% 4.30/4.46 inference(rewrite,[status(thm)],[])).
% 4.30/4.46 tff(2528,plain,
% 4.30/4.46 ((m_processor_v_cmd(c_p2, s3, c_idle) | node62(c_p2, s3) | node63(c_p2, s3) | node64(c_p2, s3) | node65(c_p2, s3) | node66(c_p2, s3)) <=> (m_processor_v_cmd(c_p2, s3, c_idle) | node66(c_p2, s3) | node65(c_p2, s3) | node64(c_p2, s3) | node63(c_p2, s3) | node62(c_p2, s3))),
% 4.30/4.46 inference(rewrite,[status(thm)],[])).
% 4.30/4.46 tff(2529,plain,
% 4.30/4.46 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s3, c_idle) | node62(c_p2, s3) | node63(c_p2, s3) | node64(c_p2, s3) | node65(c_p2, s3) | node66(c_p2, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s3, c_idle) | node66(c_p2, s3) | node65(c_p2, s3) | node64(c_p2, s3) | node63(c_p2, s3) | node62(c_p2, s3)))),
% 4.30/4.46 inference(monotonicity,[status(thm)],[2528])).
% 4.30/4.46 tff(2530,plain,
% 4.30/4.46 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s3, c_idle) | node62(c_p2, s3) | node63(c_p2, s3) | node64(c_p2, s3) | node65(c_p2, s3) | node66(c_p2, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s3, c_idle) | node66(c_p2, s3) | node65(c_p2, s3) | node64(c_p2, s3) | node63(c_p2, s3) | node62(c_p2, s3))),
% 4.30/4.46 inference(transitivity,[status(thm)],[2529, 2527])).
% 4.30/4.46 tff(2531,plain,
% 4.30/4.46 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s3, c_idle) | node62(c_p2, s3) | node63(c_p2, s3) | node64(c_p2, s3) | node65(c_p2, s3) | node66(c_p2, s3))),
% 4.30/4.46 inference(quant_inst,[status(thm)],[])).
% 4.30/4.46 tff(2532,plain,
% 4.30/4.46 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s3, c_idle) | node66(c_p2, s3) | node65(c_p2, s3) | node64(c_p2, s3) | node63(c_p2, s3) | node62(c_p2, s3)),
% 4.30/4.46 inference(modus_ponens,[status(thm)],[2531, 2530])).
% 4.30/4.46 tff(2533,plain,
% 4.30/4.46 ($false),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2532, 773, 2526, 2525, 2507, 2524, 2508, 2523])).
% 4.30/4.46 tff(2534,plain,(m_processor_v_cmd(c_p2, s3, c_idle) | node63(c_p2, s3) | node62(c_p2, s3) | node66(c_p2, s3) | node65(c_p2, s3) | node64(c_p2, s3)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.46 tff(2535,plain,
% 4.30/4.46 ($false),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2534, 2522, 2515, 2508, 2507, 2506, 2499])).
% 4.30/4.46 tff(2536,plain,(m_processor_v_master(c_p2, s3) | node65(c_p2, s3) | m_processor_v_cmd(c_p2, s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.46 tff(2537,plain,
% 4.30/4.46 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2536, 2484, 2492])).
% 4.30/4.46 tff(2538,assumption,(node17(s3)), introduced(assumption)).
% 4.30/4.46 tff(2539,assumption,(m_processor_v_master(c_p0, s3)), introduced(assumption)).
% 4.30/4.46 tff(2540,plain,
% 4.30/4.46 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s3)) | (~node17(s3)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s3)) | (~node17(s3)))),
% 4.30/4.46 inference(rewrite,[status(thm)],[])).
% 4.30/4.46 tff(2541,plain,
% 4.30/4.46 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s3)) | (~node17(s3)))),
% 4.30/4.46 inference(quant_inst,[status(thm)],[])).
% 4.30/4.46 tff(2542,plain,
% 4.30/4.46 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s3)) | (~node17(s3))),
% 4.30/4.46 inference(modus_ponens,[status(thm)],[2541, 2540])).
% 4.30/4.46 tff(2543,plain,
% 4.30/4.46 ($false),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2542, 1572, 2539, 2538])).
% 4.30/4.46 tff(2544,plain,((~m_processor_v_master(c_p0, s3)) | (~node17(s3))), inference(lemma,lemma(discharge,[]))).
% 4.30/4.46 tff(2545,plain,
% 4.30/4.46 (~node17(s3)),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2544, 2427])).
% 4.30/4.46 tff(2546,assumption,(m_memory_v_master(c_m, s3)), introduced(assumption)).
% 4.30/4.46 tff(2547,assumption,(~node17(s3)), introduced(assumption)).
% 4.30/4.46 tff(2548,plain,
% 4.30/4.46 (((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s3) | (~m_memory_v_master(c_m, s3)))) <=> ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s3) | (~m_memory_v_master(c_m, s3)))),
% 4.30/4.46 inference(rewrite,[status(thm)],[])).
% 4.30/4.46 tff(2549,plain,
% 4.30/4.46 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s3) | (~m_memory_v_master(c_m, s3)))),
% 4.30/4.46 inference(quant_inst,[status(thm)],[])).
% 4.30/4.46 tff(2550,plain,
% 4.30/4.46 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s3) | (~m_memory_v_master(c_m, s3))),
% 4.30/4.46 inference(modus_ponens,[status(thm)],[2549, 2548])).
% 4.30/4.46 tff(2551,plain,
% 4.30/4.46 ($false),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2550, 167, 2547, 2546])).
% 4.30/4.46 tff(2552,plain,((~m_memory_v_master(c_m, s3)) | node17(s3)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.46 tff(2553,plain,
% 4.30/4.46 (~m_memory_v_master(c_m, s3)),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2552, 2545])).
% 4.30/4.46 tff(2554,assumption,(node29(c_m, s3)), introduced(assumption)).
% 4.30/4.46 tff(2555,assumption,(~m_memory_v_master(c_m, s3)), introduced(assumption)).
% 4.30/4.46 tff(2556,plain,
% 4.30/4.46 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s3) | (~node29(c_m, s3)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s3) | (~node29(c_m, s3)))),
% 4.30/4.46 inference(rewrite,[status(thm)],[])).
% 4.30/4.46 tff(2557,plain,
% 4.30/4.46 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s3) | (~node29(c_m, s3)))),
% 4.30/4.46 inference(quant_inst,[status(thm)],[])).
% 4.30/4.46 tff(2558,plain,
% 4.30/4.46 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s3) | (~node29(c_m, s3))),
% 4.30/4.46 inference(modus_ponens,[status(thm)],[2557, 2556])).
% 4.30/4.46 tff(2559,plain,
% 4.30/4.46 ($false),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2558, 1085, 2555, 2554])).
% 4.30/4.46 tff(2560,plain,(m_memory_v_master(c_m, s3) | (~node29(c_m, s3))), inference(lemma,lemma(discharge,[]))).
% 4.30/4.46 tff(2561,plain,
% 4.30/4.46 (~node29(c_m, s3)),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2560, 2553])).
% 4.30/4.46 tff(2562,assumption,(~node29(c_m, s3)), introduced(assumption)).
% 4.30/4.46 tff(2563,assumption,(~m_memory_v_cmd(c_m, s3, c_idle)), introduced(assumption)).
% 4.30/4.46 tff(2564,plain,
% 4.30/4.46 (((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s3) | m_memory_v_cmd(c_m, s3, c_idle))) <=> ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s3) | m_memory_v_cmd(c_m, s3, c_idle))),
% 4.30/4.46 inference(rewrite,[status(thm)],[])).
% 4.30/4.46 tff(2565,plain,
% 4.30/4.46 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s3) | m_memory_v_cmd(c_m, s3, c_idle))),
% 4.30/4.46 inference(quant_inst,[status(thm)],[])).
% 4.30/4.46 tff(2566,plain,
% 4.30/4.46 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s3) | m_memory_v_cmd(c_m, s3, c_idle)),
% 4.30/4.46 inference(modus_ponens,[status(thm)],[2565, 2564])).
% 4.30/4.46 tff(2567,plain,
% 4.30/4.46 ($false),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2566, 948, 2563, 2562])).
% 4.30/4.46 tff(2568,plain,(m_memory_v_cmd(c_m, s3, c_idle) | node29(c_m, s3)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.46 tff(2569,plain,
% 4.30/4.46 (m_memory_v_cmd(c_m, s3, c_idle)),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2568, 2561])).
% 4.30/4.46 tff(2570,plain,
% 4.30/4.46 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node8(s3))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node8(s3))),
% 4.30/4.46 inference(rewrite,[status(thm)],[])).
% 4.30/4.46 tff(2571,plain,
% 4.30/4.46 ((node8(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle))) <=> ((~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node8(s3))),
% 4.30/4.46 inference(rewrite,[status(thm)],[])).
% 4.30/4.46 tff(2572,plain,
% 4.30/4.46 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node8(s3)))),
% 4.30/4.46 inference(monotonicity,[status(thm)],[2571])).
% 4.30/4.46 tff(2573,plain,
% 4.30/4.46 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node8(s3))),
% 4.30/4.46 inference(transitivity,[status(thm)],[2572, 2570])).
% 4.30/4.46 tff(2574,plain,
% 4.30/4.46 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)))),
% 4.30/4.46 inference(quant_inst,[status(thm)],[])).
% 4.30/4.46 tff(2575,plain,
% 4.30/4.46 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node8(s3)),
% 4.30/4.46 inference(modus_ponens,[status(thm)],[2574, 2573])).
% 4.30/4.46 tff(2576,plain,
% 4.30/4.46 (node8(s3)),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2575, 1130, 2569, 2537, 2462])).
% 4.30/4.46 tff(2577,plain,
% 4.30/4.46 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2330, 2321, 2311])).
% 4.30/4.46 tff(2578,plain,
% 4.30/4.46 (m_processor_v_state(c_p0, s3, c_shared)),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2319, 2577])).
% 4.30/4.46 tff(2579,plain,
% 4.30/4.46 ($false),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2408, 28, 2578, 2312, 2321])).
% 4.30/4.46 tff(2580,plain,((~node32(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_state(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.46 tff(2581,plain,
% 4.30/4.46 (~node32(c_p0, s3, s4)),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2580, 2312, 2247, 2311])).
% 4.30/4.46 tff(2582,plain,
% 4.30/4.46 (~m_processor_v_abort(c_p0, s3)),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2351, 2581])).
% 4.30/4.46 tff(2583,plain,
% 4.30/4.46 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | (~node38(c_p0, s3, s4)) | node34(c_p0, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | (~node38(c_p0, s3, s4)) | node34(c_p0, s3, s4))),
% 4.30/4.46 inference(rewrite,[status(thm)],[])).
% 4.30/4.46 tff(2584,plain,
% 4.30/4.46 ((node34(c_p0, s3, s4) | (~m_processor_v_master(c_p0, s3)) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3)) <=> ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | (~node38(c_p0, s3, s4)) | node34(c_p0, s3, s4))),
% 4.30/4.46 inference(rewrite,[status(thm)],[])).
% 4.30/4.46 tff(2585,plain,
% 4.30/4.46 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s3, s4) | (~m_processor_v_master(c_p0, s3)) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | (~node38(c_p0, s3, s4)) | node34(c_p0, s3, s4)))),
% 4.30/4.46 inference(monotonicity,[status(thm)],[2584])).
% 4.30/4.46 tff(2586,plain,
% 4.30/4.46 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s3, s4) | (~m_processor_v_master(c_p0, s3)) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | (~node38(c_p0, s3, s4)) | node34(c_p0, s3, s4))),
% 4.30/4.46 inference(transitivity,[status(thm)],[2585, 2583])).
% 4.30/4.46 tff(2587,plain,
% 4.30/4.46 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s3, s4) | (~m_processor_v_master(c_p0, s3)) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))),
% 4.30/4.46 inference(quant_inst,[status(thm)],[])).
% 4.30/4.46 tff(2588,plain,
% 4.30/4.46 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | (~node38(c_p0, s3, s4)) | node34(c_p0, s3, s4)),
% 4.30/4.46 inference(modus_ponens,[status(thm)],[2587, 2586])).
% 4.30/4.46 tff(2589,plain,
% 4.30/4.46 ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node34(c_p0, s3, s4)),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2588, 640, 2344])).
% 4.30/4.46 tff(2590,plain,
% 4.30/4.46 (node34(c_p0, s3, s4)),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2589, 2427, 2582])).
% 4.30/4.46 tff(2591,assumption,(~m_processor_v_CMD(c_p0, s3, c_read_h_owned)), introduced(assumption)).
% 4.30/4.46 tff(2592,assumption,(node34(c_p0, s3, s4)), introduced(assumption)).
% 4.30/4.46 tff(2593,plain,
% 4.30/4.46 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))),
% 4.30/4.46 inference(rewrite,[status(thm)],[])).
% 4.30/4.46 tff(2594,plain,
% 4.30/4.46 (((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared))) <=> (m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))),
% 4.30/4.46 inference(rewrite,[status(thm)],[])).
% 4.30/4.46 tff(2595,plain,
% 4.30/4.46 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared))))),
% 4.30/4.46 inference(monotonicity,[status(thm)],[2594])).
% 4.30/4.46 tff(2596,plain,
% 4.30/4.46 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))),
% 4.30/4.46 inference(transitivity,[status(thm)],[2595, 2593])).
% 4.30/4.46 tff(2597,plain,
% 4.30/4.46 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))),
% 4.30/4.46 inference(quant_inst,[status(thm)],[])).
% 4.30/4.46 tff(2598,plain,
% 4.30/4.46 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared))),
% 4.30/4.46 inference(modus_ponens,[status(thm)],[2597, 2596])).
% 4.30/4.46 tff(2599,plain,
% 4.30/4.46 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 4.30/4.46 inference(unit_resolution,[status(thm)],[2598, 1393, 2312, 2592])).
% 4.30/4.46 tff(2600,plain,
% 4.30/4.46 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid)))),
% 4.30/4.47 inference(rewrite,[status(thm)],[])).
% 4.30/4.47 tff(2601,plain,
% 4.30/4.47 (((~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid))) <=> (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid)))),
% 4.30/4.47 inference(rewrite,[status(thm)],[])).
% 4.30/4.47 tff(2602,plain,
% 4.30/4.47 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid))))),
% 4.30/4.47 inference(monotonicity,[status(thm)],[2601])).
% 4.30/4.47 tff(2603,plain,
% 4.30/4.47 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid)))),
% 4.30/4.47 inference(transitivity,[status(thm)],[2602, 2600])).
% 4.30/4.47 tff(2604,plain,
% 4.30/4.47 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid)))),
% 4.30/4.47 inference(quant_inst,[status(thm)],[])).
% 4.30/4.47 tff(2605,plain,
% 4.30/4.47 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid))),
% 4.30/4.47 inference(modus_ponens,[status(thm)],[2604, 2603])).
% 4.30/4.47 tff(2606,plain,
% 4.30/4.47 (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid))),
% 4.30/4.47 inference(unit_resolution,[status(thm)],[2605, 1209, 2311, 2592])).
% 4.30/4.47 tff(2607,plain,
% 4.30/4.47 (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid)),
% 4.30/4.47 inference(unit_resolution,[status(thm)],[2606, 2591, 2599])).
% 4.30/4.47 tff(2608,plain,
% 4.30/4.47 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))),
% 4.30/4.47 inference(rewrite,[status(thm)],[])).
% 4.30/4.47 tff(2609,plain,
% 4.30/4.47 (((~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))),
% 4.30/4.47 inference(rewrite,[status(thm)],[])).
% 4.30/4.47 tff(2610,plain,
% 4.30/4.47 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid))))),
% 4.30/4.47 inference(monotonicity,[status(thm)],[2609])).
% 4.30/4.47 tff(2611,plain,
% 4.30/4.47 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))),
% 4.30/4.47 inference(transitivity,[status(thm)],[2610, 2608])).
% 4.30/4.47 tff(2612,plain,
% 4.30/4.47 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))),
% 4.30/4.47 inference(quant_inst,[status(thm)],[])).
% 4.30/4.47 tff(2613,plain,
% 4.30/4.47 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid))),
% 4.30/4.47 inference(modus_ponens,[status(thm)],[2612, 2611])).
% 4.30/4.47 tff(2614,plain,
% 4.30/4.47 (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid))),
% 4.30/4.47 inference(unit_resolution,[status(thm)],[2613, 1415, 2311, 2592])).
% 4.30/4.47 tff(2615,plain,
% 4.30/4.47 (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)),
% 4.30/4.47 inference(unit_resolution,[status(thm)],[2614, 2607, 2591, 2599])).
% 4.30/4.47 tff(2616,plain,
% 4.30/4.47 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared)))),
% 4.30/4.47 inference(rewrite,[status(thm)],[])).
% 4.30/4.47 tff(2617,plain,
% 4.30/4.47 (((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared))) <=> (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared)))),
% 4.30/4.47 inference(rewrite,[status(thm)],[])).
% 4.30/4.47 tff(2618,plain,
% 4.30/4.47 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared))))),
% 4.30/4.47 inference(monotonicity,[status(thm)],[2617])).
% 4.30/4.47 tff(2619,plain,
% 4.30/4.47 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared)))),
% 4.30/4.47 inference(transitivity,[status(thm)],[2618, 2616])).
% 4.30/4.47 tff(2620,plain,
% 4.30/4.47 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared)))),
% 4.30/4.47 inference(quant_inst,[status(thm)],[])).
% 4.30/4.47 tff(2621,plain,
% 4.30/4.47 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared))),
% 4.30/4.47 inference(modus_ponens,[status(thm)],[2620, 2619])).
% 4.30/4.47 tff(2622,plain,
% 4.30/4.47 (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared))),
% 4.30/4.47 inference(unit_resolution,[status(thm)],[2621, 1444, 2312, 2592])).
% 4.30/4.47 tff(2623,plain,
% 4.30/4.47 (~m_processor_v_CMD(c_p0, s3, c_write_h_shared)),
% 4.30/4.47 inference(unit_resolution,[status(thm)],[2622, 2615, 2591, 2607, 2599])).
% 4.30/4.47 tff(2624,assumption,(~node33(c_p0, s3, s4)), introduced(assumption)).
% 4.30/4.47 tff(2625,plain,
% 4.30/4.47 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | node33(c_p0, s3, s4) | (~node34(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | node33(c_p0, s3, s4) | (~node34(c_p0, s3, s4)))),
% 4.30/4.47 inference(rewrite,[status(thm)],[])).
% 4.30/4.47 tff(2626,plain,
% 4.30/4.47 ((node33(c_p0, s3, s4) | (~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | node33(c_p0, s3, s4) | (~node34(c_p0, s3, s4)))),
% 4.30/4.47 inference(rewrite,[status(thm)],[])).
% 4.30/4.47 tff(2627,plain,
% 4.30/4.47 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s3, s4) | (~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | node33(c_p0, s3, s4) | (~node34(c_p0, s3, s4))))),
% 4.30/4.47 inference(monotonicity,[status(thm)],[2626])).
% 4.30/4.47 tff(2628,plain,
% 4.30/4.47 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s3, s4) | (~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | node33(c_p0, s3, s4) | (~node34(c_p0, s3, s4)))),
% 4.30/4.47 inference(transitivity,[status(thm)],[2627, 2625])).
% 4.30/4.47 tff(2629,plain,
% 4.30/4.47 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s3, s4) | (~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))),
% 4.30/4.47 inference(quant_inst,[status(thm)],[])).
% 4.30/4.47 tff(2630,plain,
% 4.30/4.47 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | node33(c_p0, s3, s4) | (~node34(c_p0, s3, s4))),
% 4.30/4.47 inference(modus_ponens,[status(thm)],[2629, 2628])).
% 4.30/4.47 tff(2631,plain,
% 4.30/4.47 (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~node34(c_p0, s3, s4))),
% 4.30/4.47 inference(unit_resolution,[status(thm)],[2630, 1265, 2624])).
% 4.30/4.47 tff(2632,plain,
% 4.30/4.47 (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)),
% 4.30/4.47 inference(unit_resolution,[status(thm)],[2631, 2623, 2592, 2591, 2607, 2615, 2599])).
% 4.30/4.47 tff(2633,plain,
% 4.30/4.47 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)) | (~node34(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)) | (~node34(c_p0, s3, s4)))),
% 4.30/4.47 inference(rewrite,[status(thm)],[])).
% 4.30/4.47 tff(2634,plain,
% 4.30/4.47 (((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)) | (~node34(c_p0, s3, s4)))),
% 4.30/4.47 inference(rewrite,[status(thm)],[])).
% 4.30/4.47 tff(2635,plain,
% 4.30/4.47 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)) | (~node34(c_p0, s3, s4))))),
% 4.30/4.47 inference(monotonicity,[status(thm)],[2634])).
% 4.30/4.47 tff(2636,plain,
% 4.30/4.47 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)) | (~node34(c_p0, s3, s4)))),
% 4.30/4.48 inference(transitivity,[status(thm)],[2635, 2633])).
% 4.30/4.48 tff(2637,plain,
% 4.30/4.48 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)))),
% 4.30/4.48 inference(quant_inst,[status(thm)],[])).
% 4.30/4.48 tff(2638,plain,
% 4.30/4.48 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)) | (~node34(c_p0, s3, s4))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2637, 2636])).
% 4.30/4.48 tff(2639,plain,
% 4.30/4.48 (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))),
% 4.30/4.48 inference(unit_resolution,[status(thm)],[2638, 1486, 2312, 2592])).
% 4.30/4.48 tff(2640,plain,
% 4.30/4.48 ($false),
% 4.30/4.48 inference(unit_resolution,[status(thm)],[2639, 2632, 2623, 2591, 2607, 2615, 2599])).
% 4.30/4.48 tff(2641,plain,(m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | node33(c_p0, s3, s4) | m_processor_v_state(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.48 tff(2642,plain,
% 4.30/4.48 (node33(c_p0, s3, s4)),
% 4.30/4.48 inference(unit_resolution,[status(thm)],[2641, 2591, 2312, 2590, 2311])).
% 4.30/4.48 tff(2643,assumption,(node33(c_p0, s3, s4)), introduced(assumption)).
% 4.30/4.48 tff(2644,plain,
% 4.30/4.48 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid))),
% 4.30/4.48 inference(rewrite,[status(thm)],[])).
% 4.30/4.48 tff(2645,plain,
% 4.30/4.48 (((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node33(c_p0, s3, s4))) <=> ((~m_processor_v_state(c_p0, s3, c_invalid)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid))),
% 4.30/4.48 inference(rewrite,[status(thm)],[])).
% 4.30/4.48 tff(2646,plain,
% 4.30/4.48 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node33(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid)))),
% 4.30/4.48 inference(monotonicity,[status(thm)],[2645])).
% 4.30/4.48 tff(2647,plain,
% 4.30/4.48 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node33(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid))),
% 4.30/4.48 inference(transitivity,[status(thm)],[2646, 2644])).
% 4.30/4.48 tff(2648,plain,
% 4.30/4.48 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node33(c_p0, s3, s4)))),
% 4.30/4.48 inference(quant_inst,[status(thm)],[])).
% 4.30/4.48 tff(2649,plain,
% 4.30/4.48 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid)),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2648, 2647])).
% 4.30/4.48 tff(2650,plain,
% 4.30/4.48 ($false),
% 4.30/4.48 inference(unit_resolution,[status(thm)],[2649, 1231, 2322, 2311, 2643])).
% 4.30/4.48 tff(2651,plain,((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node33(c_p0, s3, s4))), inference(lemma,lemma(discharge,[]))).
% 4.30/4.48 tff(2652,plain,
% 4.30/4.48 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 4.30/4.48 inference(unit_resolution,[status(thm)],[2651, 2642, 2311])).
% 4.30/4.48 tff(2653,plain,
% 4.30/4.48 (m_processor_v_state(c_p0, s3, c_shared)),
% 4.30/4.48 inference(unit_resolution,[status(thm)],[2319, 2652])).
% 4.30/4.48 tff(2654,plain,
% 4.30/4.48 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X))) <=> (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X))))),
% 4.30/4.48 inference(bind,[status(th)],[])).
% 4.30/4.48 tff(2655,plain,
% 4.30/4.48 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))),
% 4.30/4.48 inference(quant_intro,[status(thm)],[2654])).
% 4.30/4.48 tff(2656,plain,
% 4.30/4.48 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))),
% 4.30/4.48 inference(rewrite,[status(thm)],[])).
% 4.30/4.48 tff(2657,axiom,(![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_143')).
% 4.30/4.48 tff(2658,plain,
% 4.30/4.48 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2657, 2656])).
% 4.30/4.48 tff(2659,plain,(
% 4.30/4.48 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))),
% 4.30/4.48 inference(skolemize,[status(sab)],[2658])).
% 4.30/4.48 tff(2660,plain,
% 4.30/4.48 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2659, 2655])).
% 4.30/4.48 tff(2661,plain,
% 4.30/4.48 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p0, s3, c_invalid) | (~node62(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p0, s3, c_invalid) | (~node62(c_p0, s3)))),
% 4.30/4.48 inference(rewrite,[status(thm)],[])).
% 4.30/4.48 tff(2662,plain,
% 4.30/4.48 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p0, s3, c_invalid) | (~node62(c_p0, s3)))),
% 4.30/4.48 inference(quant_inst,[status(thm)],[])).
% 4.30/4.48 tff(2663,plain,
% 4.30/4.48 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p0, s3, c_invalid) | (~node62(c_p0, s3))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2662, 2661])).
% 4.30/4.48 tff(2664,plain,
% 4.30/4.48 (~node62(c_p0, s3)),
% 4.30/4.48 inference(unit_resolution,[status(thm)],[2663, 2660, 2652])).
% 4.30/4.48 tff(2665,plain,
% 4.30/4.48 (^[I0: $i, X: $i] : refl((m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X)) <=> (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X)))),
% 4.30/4.48 inference(bind,[status(th)],[])).
% 4.30/4.48 tff(2666,plain,
% 4.30/4.48 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))),
% 4.30/4.48 inference(quant_intro,[status(thm)],[2665])).
% 4.30/4.48 tff(2667,plain,
% 4.30/4.48 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))),
% 4.30/4.48 inference(rewrite,[status(thm)],[])).
% 4.30/4.48 tff(2668,plain,
% 4.30/4.48 (^[I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite((node62(I0, X) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | node62(I0, X))), (((node62(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_shared))) <=> (((~m_processor_v_master(I0, X)) | node62(I0, X)) | (~m_processor_v_state(I0, X, c_shared))))), rewrite((((~m_processor_v_master(I0, X)) | node62(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) <=> ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))), (((node62(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_shared))) <=> ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X)))), ((((node62(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_shared))) | m_processor_v_cmd(I0, X, c_read_h_owned)) <=> (((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X)) | m_processor_v_cmd(I0, X, c_read_h_owned)))), rewrite((((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X)) | m_processor_v_cmd(I0, X, c_read_h_owned)) <=> (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))), ((((node62(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_shared))) | m_processor_v_cmd(I0, X, c_read_h_owned)) <=> (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))))),
% 4.30/4.48 inference(bind,[status(th)],[])).
% 4.30/4.48 tff(2669,plain,
% 4.30/4.48 (![I0: $i, X: $i] : (((node62(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_shared))) | m_processor_v_cmd(I0, X, c_read_h_owned)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))),
% 4.30/4.48 inference(quant_intro,[status(thm)],[2668])).
% 4.30/4.48 tff(2670,axiom,(![I0: $i, X: $i] : (((node62(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_shared))) | m_processor_v_cmd(I0, X, c_read_h_owned))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_156')).
% 4.30/4.48 tff(2671,plain,
% 4.30/4.48 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2670, 2669])).
% 4.30/4.48 tff(2672,plain,
% 4.30/4.48 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2671, 2667])).
% 4.30/4.48 tff(2673,plain,(
% 4.30/4.48 ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))),
% 4.30/4.48 inference(skolemize,[status(sab)],[2672])).
% 4.30/4.48 tff(2674,plain,
% 4.30/4.48 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2673, 2666])).
% 4.30/4.48 tff(2675,plain,
% 4.30/4.48 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | ((~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned))),
% 4.30/4.48 inference(rewrite,[status(thm)],[])).
% 4.30/4.48 tff(2676,plain,
% 4.30/4.48 ((m_processor_v_cmd(c_p0, s3, c_read_h_owned) | (~m_processor_v_state(c_p0, s3, c_shared)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3)) <=> ((~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned))),
% 4.30/4.48 inference(rewrite,[status(thm)],[])).
% 4.30/4.48 tff(2677,plain,
% 4.30/4.48 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_read_h_owned) | (~m_processor_v_state(c_p0, s3, c_shared)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | ((~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned)))),
% 4.30/4.48 inference(monotonicity,[status(thm)],[2676])).
% 4.30/4.48 tff(2678,plain,
% 4.30/4.48 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_read_h_owned) | (~m_processor_v_state(c_p0, s3, c_shared)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned))),
% 4.30/4.48 inference(transitivity,[status(thm)],[2677, 2675])).
% 4.30/4.48 tff(2679,plain,
% 4.30/4.48 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_read_h_owned) | (~m_processor_v_state(c_p0, s3, c_shared)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3))),
% 4.30/4.48 inference(quant_inst,[status(thm)],[])).
% 4.30/4.48 tff(2680,plain,
% 4.30/4.48 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned)),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2679, 2678])).
% 4.30/4.48 tff(2681,plain,
% 4.30/4.48 (node62(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned)),
% 4.30/4.48 inference(unit_resolution,[status(thm)],[2680, 2674, 2427])).
% 4.30/4.48 tff(2682,plain,
% 4.30/4.48 (m_processor_v_cmd(c_p0, s3, c_read_h_owned)),
% 4.30/4.48 inference(unit_resolution,[status(thm)],[2681, 2664, 2653])).
% 4.30/4.48 tff(2683,assumption,(m_main_v_CMD(s3, c_read_h_owned)), introduced(assumption)).
% 4.30/4.48 tff(2684,assumption,(~node2(s3)), introduced(assumption)).
% 4.30/4.48 tff(2685,plain,
% 4.30/4.48 ((~![X: $i] : node2(X)) | node2(s3)),
% 4.30/4.48 inference(quant_inst,[status(thm)],[])).
% 4.30/4.48 tff(2686,plain,
% 4.30/4.48 ($false),
% 4.30/4.48 inference(unit_resolution,[status(thm)],[2685, 1736, 2684])).
% 4.30/4.48 tff(2687,plain,(node2(s3)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.48 tff(2688,plain,
% 4.30/4.48 (^[V: $i, X: $i] : refl(((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V)) <=> ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V)))),
% 4.30/4.48 inference(bind,[status(th)],[])).
% 4.30/4.48 tff(2689,plain,
% 4.30/4.48 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V)) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))),
% 4.30/4.48 inference(quant_intro,[status(thm)],[2688])).
% 4.30/4.48 tff(2690,plain,
% 4.30/4.48 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V)) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))),
% 4.30/4.48 inference(rewrite,[status(thm)],[])).
% 4.30/4.48 tff(2691,plain,
% 4.30/4.48 (^[V: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_CMD(c_p0, X, V) | (~m_main_v_CMD(X, V))) <=> ((~m_main_v_CMD(X, V)) | m_processor_v_CMD(c_p0, X, V))), (((m_processor_v_CMD(c_p0, X, V) | (~m_main_v_CMD(X, V))) | (~node2(X))) <=> (((~m_main_v_CMD(X, V)) | m_processor_v_CMD(c_p0, X, V)) | (~node2(X))))), rewrite((((~m_main_v_CMD(X, V)) | m_processor_v_CMD(c_p0, X, V)) | (~node2(X))) <=> ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))), (((m_processor_v_CMD(c_p0, X, V) | (~m_main_v_CMD(X, V))) | (~node2(X))) <=> ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))))),
% 4.30/4.48 inference(bind,[status(th)],[])).
% 4.30/4.48 tff(2692,plain,
% 4.30/4.48 (![V: $i, X: $i] : ((m_processor_v_CMD(c_p0, X, V) | (~m_main_v_CMD(X, V))) | (~node2(X))) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))),
% 4.30/4.48 inference(quant_intro,[status(thm)],[2691])).
% 4.30/4.48 tff(2693,axiom,(![V: $i, X: $i] : ((m_processor_v_CMD(c_p0, X, V) | (~m_main_v_CMD(X, V))) | (~node2(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_47')).
% 4.30/4.48 tff(2694,plain,
% 4.30/4.48 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2693, 2692])).
% 4.30/4.48 tff(2695,plain,
% 4.30/4.48 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2694, 2690])).
% 4.30/4.48 tff(2696,plain,(
% 4.30/4.48 ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))),
% 4.30/4.48 inference(skolemize,[status(sab)],[2695])).
% 4.30/4.48 tff(2697,plain,
% 4.30/4.48 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2696, 2689])).
% 4.30/4.48 tff(2698,plain,
% 4.30/4.48 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~node2(s3)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~node2(s3)))),
% 4.30/4.48 inference(rewrite,[status(thm)],[])).
% 4.30/4.48 tff(2699,plain,
% 4.30/4.48 (((~m_main_v_CMD(s3, c_read_h_owned)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~node2(s3)))),
% 4.30/4.48 inference(rewrite,[status(thm)],[])).
% 4.30/4.48 tff(2700,plain,
% 4.30/4.48 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~node2(s3))))),
% 4.30/4.48 inference(monotonicity,[status(thm)],[2699])).
% 4.30/4.48 tff(2701,plain,
% 4.30/4.48 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~node2(s3)))),
% 4.30/4.48 inference(transitivity,[status(thm)],[2700, 2698])).
% 4.30/4.48 tff(2702,plain,
% 4.30/4.48 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned))),
% 4.30/4.48 inference(quant_inst,[status(thm)],[])).
% 4.30/4.48 tff(2703,plain,
% 4.30/4.48 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~node2(s3))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2702, 2701])).
% 4.30/4.48 tff(2704,plain,
% 4.30/4.48 ($false),
% 4.30/4.48 inference(unit_resolution,[status(thm)],[2703, 2697, 2687, 2591, 2683])).
% 4.30/4.48 tff(2705,plain,(m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~m_main_v_CMD(s3, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.30/4.48 tff(2706,plain,
% 4.30/4.48 (~m_main_v_CMD(s3, c_read_h_owned)),
% 4.30/4.48 inference(unit_resolution,[status(thm)],[2705, 2591])).
% 4.30/4.48 tff(2707,plain,
% 4.30/4.48 (^[V: $i, X: $i] : refl((m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V))) <=> (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V))))),
% 4.30/4.48 inference(bind,[status(th)],[])).
% 4.30/4.48 tff(2708,plain,
% 4.30/4.48 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))),
% 4.30/4.48 inference(quant_intro,[status(thm)],[2707])).
% 4.30/4.48 tff(2709,plain,
% 4.30/4.48 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))),
% 4.30/4.48 inference(rewrite,[status(thm)],[])).
% 4.30/4.48 tff(2710,plain,
% 4.30/4.48 (^[V: $i, X: $i] : trans(monotonicity(rewrite((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) <=> (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)))), (((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node8(X))) <=> ((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node8(X))))), rewrite(((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node8(X))) <=> (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))), (((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node8(X))) <=> (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))))),
% 4.30/4.48 inference(bind,[status(th)],[])).
% 4.30/4.48 tff(2711,plain,
% 4.30/4.48 (![V: $i, X: $i] : ((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node8(X))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))),
% 4.30/4.48 inference(quant_intro,[status(thm)],[2710])).
% 4.30/4.48 tff(2712,axiom,(![V: $i, X: $i] : ((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_90')).
% 4.30/4.48 tff(2713,plain,
% 4.30/4.48 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2712, 2711])).
% 4.30/4.48 tff(2714,plain,
% 4.30/4.48 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2713, 2709])).
% 4.30/4.48 tff(2715,plain,(
% 4.30/4.48 ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))),
% 4.30/4.48 inference(skolemize,[status(sab)],[2714])).
% 4.30/4.48 tff(2716,plain,
% 4.30/4.48 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2715, 2708])).
% 4.30/4.48 tff(2717,plain,
% 4.30/4.48 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s3, c_read_h_owned) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_owned)))),
% 4.30/4.48 inference(rewrite,[status(thm)],[])).
% 4.30/4.48 tff(2718,plain,
% 4.30/4.48 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_owned)))),
% 4.30/4.48 inference(quant_inst,[status(thm)],[])).
% 4.30/4.48 tff(2719,plain,
% 4.30/4.48 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s3, c_read_h_owned) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_owned))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2718, 2717])).
% 4.30/4.48 tff(2720,plain,
% 4.30/4.48 ($false),
% 4.30/4.48 inference(unit_resolution,[status(thm)],[2719, 2716, 2706, 2682, 2576])).
% 4.30/4.48 tff(2721,plain,(m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_state(c_p0, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.48 tff(2722,plain,
% 4.30/4.48 (m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 4.30/4.48 inference(unit_resolution,[status(thm)],[2721, 2310, 2247, 2303])).
% 4.30/4.48 tff(2723,plain,
% 4.30/4.48 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~node37(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~node37(c_p0, s3, s4)))),
% 4.30/4.48 inference(rewrite,[status(thm)],[])).
% 4.30/4.48 tff(2724,plain,
% 4.30/4.48 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~node37(c_p0, s3, s4)))),
% 4.30/4.48 inference(quant_inst,[status(thm)],[])).
% 4.30/4.48 tff(2725,plain,
% 4.30/4.48 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~node37(c_p0, s3, s4))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2724, 2723])).
% 4.30/4.48 tff(2726,plain,
% 4.30/4.48 (~node37(c_p0, s3, s4)),
% 4.30/4.48 inference(unit_resolution,[status(thm)],[2725, 1612, 2247, 2299])).
% 4.30/4.48 tff(2727,plain,
% 4.30/4.48 (m_processor_v_master(c_p0, s3)),
% 4.30/4.48 inference(unit_resolution,[status(thm)],[2412, 2310, 2247, 2726, 2303])).
% 4.30/4.48 tff(2728,plain,
% 4.30/4.48 (^[I0: $i, X: $i] : refl(((~m_processor_v_waiting(I0, X)) | (~node56(I0, X))) <=> ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X))))),
% 4.30/4.48 inference(bind,[status(th)],[])).
% 4.30/4.48 tff(2729,plain,
% 4.30/4.48 (![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))),
% 4.30/4.48 inference(quant_intro,[status(thm)],[2728])).
% 4.30/4.48 tff(2730,plain,
% 4.30/4.48 (![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))),
% 4.30/4.48 inference(rewrite,[status(thm)],[])).
% 4.30/4.48 tff(2731,axiom,(![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_123')).
% 4.30/4.48 tff(2732,plain,
% 4.30/4.48 (![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2731, 2730])).
% 4.30/4.48 tff(2733,plain,(
% 4.30/4.48 ![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))),
% 4.30/4.48 inference(skolemize,[status(sab)],[2732])).
% 4.30/4.48 tff(2734,plain,
% 4.30/4.48 (![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2733, 2729])).
% 4.30/4.48 tff(2735,plain,
% 4.30/4.48 (((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p0, s4)) | (~node56(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p0, s4)) | (~node56(c_p0, s4)))),
% 4.30/4.48 inference(rewrite,[status(thm)],[])).
% 4.30/4.48 tff(2736,plain,
% 4.30/4.48 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p0, s4)) | (~node56(c_p0, s4)))),
% 4.30/4.48 inference(quant_inst,[status(thm)],[])).
% 4.30/4.48 tff(2737,plain,
% 4.30/4.48 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p0, s4)) | (~node56(c_p0, s4))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2736, 2735])).
% 4.30/4.48 tff(2738,plain,
% 4.30/4.48 (~m_processor_v_waiting(c_p0, s4)),
% 4.30/4.48 inference(unit_resolution,[status(thm)],[2737, 2734, 2292])).
% 4.30/4.48 tff(2739,assumption,(~node53(c_p0, s3, s4)), introduced(assumption)).
% 4.30/4.48 tff(2740,plain,
% 4.30/4.48 (^[Y: $i, I0: $i, X: $i] : refl(((~trans(X, Y)) | node53(I0, X, Y)) <=> ((~trans(X, Y)) | node53(I0, X, Y)))),
% 4.30/4.48 inference(bind,[status(th)],[])).
% 4.30/4.48 tff(2741,plain,
% 4.30/4.48 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y)) <=> ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))),
% 4.30/4.48 inference(quant_intro,[status(thm)],[2740])).
% 4.30/4.48 tff(2742,plain,
% 4.30/4.48 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y)) <=> ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))),
% 4.30/4.48 inference(rewrite,[status(thm)],[])).
% 4.30/4.48 tff(2743,axiom,(![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_115')).
% 4.30/4.48 tff(2744,plain,
% 4.30/4.48 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2743, 2742])).
% 4.30/4.48 tff(2745,plain,(
% 4.30/4.48 ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))),
% 4.30/4.48 inference(skolemize,[status(sab)],[2744])).
% 4.30/4.48 tff(2746,plain,
% 4.30/4.48 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2745, 2741])).
% 4.30/4.48 tff(2747,plain,
% 4.30/4.48 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s3, s4)) | node53(c_p0, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s3, s4)) | node53(c_p0, s3, s4))),
% 4.30/4.48 inference(rewrite,[status(thm)],[])).
% 4.30/4.48 tff(2748,plain,
% 4.30/4.48 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s3, s4)) | node53(c_p0, s3, s4))),
% 4.30/4.48 inference(quant_inst,[status(thm)],[])).
% 4.30/4.48 tff(2749,plain,
% 4.30/4.48 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s3, s4)) | node53(c_p0, s3, s4)),
% 4.30/4.48 inference(modus_ponens,[status(thm)],[2748, 2747])).
% 4.30/4.48 tff(2750,plain,
% 4.30/4.48 ($false),
% 4.30/4.48 inference(unit_resolution,[status(thm)],[2749, 2746, 2339, 2739])).
% 4.30/4.48 tff(2751,plain,(node53(c_p0, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.48 tff(2752,plain,
% 4.30/4.48 (~node32(c_p0, s3, s4)),
% 4.30/4.48 inference(unit_resolution,[status(thm)],[2580, 2303, 2247, 2310])).
% 4.30/4.48 tff(2753,plain,
% 4.30/4.48 (~m_processor_v_abort(c_p0, s3)),
% 4.30/4.48 inference(unit_resolution,[status(thm)],[2351, 2752])).
% 4.30/4.48 tff(2754,plain,
% 4.30/4.48 (^[Y: $i, I0: $i, X: $i] : refl((m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y))))),
% 4.30/4.48 inference(bind,[status(th)],[])).
% 4.30/4.48 tff(2755,plain,
% 4.30/4.48 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))),
% 4.30/4.48 inference(quant_intro,[status(thm)],[2754])).
% 4.30/4.48 tff(2756,plain,
% 4.30/4.48 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))),
% 4.30/4.48 inference(rewrite,[status(thm)],[])).
% 4.30/4.48 tff(2757,plain,
% 4.30/4.48 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X))), ((((m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) <=> (((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_CMD(I0, X, c_read_h_owned))))), rewrite((((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) <=> ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X))), ((((m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) <=> ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X)))), (((((m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_waiting(I0, Y)) <=> (((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X)) | m_processor_v_waiting(I0, Y)))), rewrite((((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X)) | m_processor_v_waiting(I0, Y)) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X))), (((((m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_waiting(I0, Y)) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X)))), ((((((m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_waiting(I0, Y)) | (~node53(I0, X, Y))) <=> ((m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X)) | (~node53(I0, X, Y))))), rewrite(((m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X)) | (~node53(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))), ((((((m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_waiting(I0, Y)) | (~node53(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))))),
% 4.30/4.48 inference(bind,[status(th)],[])).
% 4.30/4.48 tff(2758,plain,
% 4.30/4.48 (![Y: $i, I0: $i, X: $i] : (((((m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_waiting(I0, Y)) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))),
% 4.30/4.49 inference(quant_intro,[status(thm)],[2757])).
% 4.30/4.49 tff(2759,axiom,(![Y: $i, I0: $i, X: $i] : (((((m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_waiting(I0, Y)) | (~node53(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_110')).
% 4.30/4.49 tff(2760,plain,
% 4.30/4.49 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2759, 2758])).
% 4.30/4.49 tff(2761,plain,
% 4.30/4.49 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2760, 2756])).
% 4.30/4.49 tff(2762,plain,(
% 4.30/4.49 ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))),
% 4.30/4.49 inference(skolemize,[status(sab)],[2761])).
% 4.30/4.49 tff(2763,plain,
% 4.30/4.49 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2762, 2755])).
% 4.30/4.49 tff(2764,plain,
% 4.30/4.49 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | m_processor_v_waiting(c_p0, s4) | (~node53(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | m_processor_v_waiting(c_p0, s4) | (~node53(c_p0, s3, s4)))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2765,plain,
% 4.30/4.49 ((m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | (~node53(c_p0, s3, s4))) <=> ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | m_processor_v_waiting(c_p0, s4) | (~node53(c_p0, s3, s4)))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2766,plain,
% 4.30/4.49 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | (~node53(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | m_processor_v_waiting(c_p0, s4) | (~node53(c_p0, s3, s4))))),
% 4.30/4.49 inference(monotonicity,[status(thm)],[2765])).
% 4.30/4.49 tff(2767,plain,
% 4.30/4.49 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | (~node53(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | m_processor_v_waiting(c_p0, s4) | (~node53(c_p0, s3, s4)))),
% 4.30/4.49 inference(transitivity,[status(thm)],[2766, 2764])).
% 4.30/4.49 tff(2768,plain,
% 4.30/4.49 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | (~node53(c_p0, s3, s4)))),
% 4.30/4.49 inference(quant_inst,[status(thm)],[])).
% 4.30/4.49 tff(2769,plain,
% 4.30/4.49 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | m_processor_v_waiting(c_p0, s4) | (~node53(c_p0, s3, s4))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2768, 2767])).
% 4.30/4.49 tff(2770,plain,
% 4.30/4.49 ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | m_processor_v_waiting(c_p0, s4) | (~node53(c_p0, s3, s4))),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2769, 2763])).
% 4.30/4.49 tff(2771,plain,
% 4.30/4.49 (node47(c_p0, s3)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2770, 2753, 2751, 2738, 2727, 2722])).
% 4.30/4.49 tff(2772,plain,
% 4.30/4.49 (^[Y: $i, I0: $i, X: $i] : refl((m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y))))),
% 4.30/4.49 inference(bind,[status(th)],[])).
% 4.30/4.49 tff(2773,plain,
% 4.30/4.49 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))),
% 4.30/4.49 inference(quant_intro,[status(thm)],[2772])).
% 4.30/4.49 tff(2774,plain,
% 4.30/4.49 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2775,plain,
% 4.30/4.49 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X))), (((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> (((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)) | (~m_processor_v_CMD(I0, X, c_read_h_shared))))), rewrite((((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X))), (((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)))), ((((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_waiting(I0, Y)) <=> (((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)) | m_processor_v_waiting(I0, Y)))), rewrite((((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)) | m_processor_v_waiting(I0, Y)) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X))), ((((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_waiting(I0, Y)) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)))), (((((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_waiting(I0, Y)) | (~node53(I0, X, Y))) <=> ((m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)) | (~node53(I0, X, Y))))), rewrite(((m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)) | (~node53(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))), (((((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_waiting(I0, Y)) | (~node53(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))))),
% 4.30/4.49 inference(bind,[status(th)],[])).
% 4.30/4.49 tff(2776,plain,
% 4.30/4.49 (![Y: $i, I0: $i, X: $i] : ((((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_waiting(I0, Y)) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))),
% 4.30/4.49 inference(quant_intro,[status(thm)],[2775])).
% 4.30/4.49 tff(2777,axiom,(![Y: $i, I0: $i, X: $i] : ((((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_waiting(I0, Y)) | (~node53(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_109')).
% 4.30/4.49 tff(2778,plain,
% 4.30/4.49 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2777, 2776])).
% 4.30/4.49 tff(2779,plain,
% 4.30/4.49 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2778, 2774])).
% 4.30/4.49 tff(2780,plain,(
% 4.30/4.49 ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))),
% 4.30/4.49 inference(skolemize,[status(sab)],[2779])).
% 4.30/4.49 tff(2781,plain,
% 4.30/4.49 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2780, 2773])).
% 4.30/4.49 tff(2782,plain,
% 4.30/4.49 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~node53(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~node53(c_p0, s3, s4)))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2783,plain,
% 4.30/4.49 ((m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | (~node53(c_p0, s3, s4))) <=> ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~node53(c_p0, s3, s4)))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2784,plain,
% 4.30/4.49 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | (~node53(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~node53(c_p0, s3, s4))))),
% 4.30/4.49 inference(monotonicity,[status(thm)],[2783])).
% 4.30/4.49 tff(2785,plain,
% 4.30/4.49 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | (~node53(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~node53(c_p0, s3, s4)))),
% 4.30/4.49 inference(transitivity,[status(thm)],[2784, 2782])).
% 4.30/4.49 tff(2786,plain,
% 4.30/4.49 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | (~node53(c_p0, s3, s4)))),
% 4.30/4.49 inference(quant_inst,[status(thm)],[])).
% 4.30/4.49 tff(2787,plain,
% 4.30/4.49 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~node53(c_p0, s3, s4))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2786, 2785])).
% 4.30/4.49 tff(2788,plain,
% 4.30/4.49 ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared))),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2787, 2781, 2751])).
% 4.30/4.49 tff(2789,plain,
% 4.30/4.49 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2788, 2753, 2727, 2738])).
% 4.30/4.49 tff(2790,plain,
% 4.30/4.49 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X))))),
% 4.30/4.49 inference(bind,[status(th)],[])).
% 4.30/4.49 tff(2791,plain,
% 4.30/4.49 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))),
% 4.30/4.49 inference(quant_intro,[status(thm)],[2790])).
% 4.30/4.49 tff(2792,plain,
% 4.30/4.49 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2793,axiom,(![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_97')).
% 4.30/4.49 tff(2794,plain,
% 4.30/4.49 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2793, 2792])).
% 4.30/4.49 tff(2795,plain,(
% 4.30/4.49 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))),
% 4.30/4.49 inference(skolemize,[status(sab)],[2794])).
% 4.30/4.49 tff(2796,plain,
% 4.30/4.49 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2795, 2791])).
% 4.30/4.49 tff(2797,plain,
% 4.30/4.49 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node47(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node47(c_p0, s3)))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2798,plain,
% 4.30/4.49 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node47(c_p0, s3)))),
% 4.30/4.49 inference(quant_inst,[status(thm)],[])).
% 4.30/4.49 tff(2799,plain,
% 4.30/4.49 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node47(c_p0, s3))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2798, 2797])).
% 4.30/4.49 tff(2800,plain,
% 4.30/4.49 ($false),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2799, 2796, 2789, 2771])).
% 4.30/4.49 tff(2801,plain,((~node56(c_p0, s4)) | m_processor_v_state(c_p0, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.49 tff(2802,plain,
% 4.30/4.49 (~node56(c_p0, s4)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2801, 2247])).
% 4.30/4.49 tff(2803,assumption,(m_processor_v_writable(c_p0, s4)), introduced(assumption)).
% 4.30/4.49 tff(2804,assumption,(~node56(c_p0, s4)), introduced(assumption)).
% 4.30/4.49 tff(2805,plain,
% 4.30/4.49 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s4)) | node56(c_p0, s4))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s4)) | node56(c_p0, s4))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2806,plain,
% 4.30/4.49 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s4)) | node56(c_p0, s4))),
% 4.30/4.49 inference(quant_inst,[status(thm)],[])).
% 4.30/4.49 tff(2807,plain,
% 4.30/4.49 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s4)) | node56(c_p0, s4)),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2806, 2805])).
% 4.30/4.49 tff(2808,plain,
% 4.30/4.49 ($false),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2807, 2270, 2804, 2803])).
% 4.30/4.49 tff(2809,plain,((~m_processor_v_writable(c_p0, s4)) | node56(c_p0, s4)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.49 tff(2810,plain,
% 4.30/4.49 (~m_processor_v_writable(c_p0, s4)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2809, 2802])).
% 4.30/4.49 tff(2811,plain,
% 4.30/4.49 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s4) | (~node67(s4)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s4) | (~node67(s4)))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2812,plain,
% 4.30/4.49 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s4) | (~node67(s4)))),
% 4.30/4.49 inference(quant_inst,[status(thm)],[])).
% 4.30/4.49 tff(2813,plain,
% 4.30/4.49 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s4) | (~node67(s4))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2812, 2811])).
% 4.30/4.49 tff(2814,plain,
% 4.30/4.49 (~node67(s4)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2813, 2285, 2810])).
% 4.30/4.49 tff(2815,assumption,(node67(s1)), introduced(assumption)).
% 4.30/4.49 tff(2816,plain,
% 4.30/4.49 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s1) | (~node67(s1)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s1) | (~node67(s1)))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2817,plain,
% 4.30/4.49 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s1) | (~node67(s1)))),
% 4.30/4.49 inference(quant_inst,[status(thm)],[])).
% 4.30/4.49 tff(2818,plain,
% 4.30/4.49 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s1) | (~node67(s1))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2817, 2816])).
% 4.30/4.49 tff(2819,plain,
% 4.30/4.49 (m_processor_v_writable(c_p0, s1)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2818, 2285, 2815])).
% 4.30/4.49 tff(2820,assumption,(~m_processor_v_writable(c_p1, s1)), introduced(assumption)).
% 4.30/4.49 tff(2821,plain,
% 4.30/4.49 (^[X: $i] : refl((m_processor_v_writable(c_p1, X) | (~node67(X))) <=> (m_processor_v_writable(c_p1, X) | (~node67(X))))),
% 4.30/4.49 inference(bind,[status(th)],[])).
% 4.30/4.49 tff(2822,plain,
% 4.30/4.49 (![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X))) <=> ![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))),
% 4.30/4.49 inference(quant_intro,[status(thm)],[2821])).
% 4.30/4.49 tff(2823,plain,
% 4.30/4.49 (![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X))) <=> ![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2824,axiom,(![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty2')).
% 4.30/4.49 tff(2825,plain,
% 4.30/4.49 (![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2824, 2823])).
% 4.30/4.49 tff(2826,plain,(
% 4.30/4.49 ![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))),
% 4.30/4.49 inference(skolemize,[status(sab)],[2825])).
% 4.30/4.49 tff(2827,plain,
% 4.30/4.49 (![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2826, 2822])).
% 4.30/4.49 tff(2828,plain,
% 4.30/4.49 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | ((~node67(s1)) | m_processor_v_writable(c_p1, s1))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s1)) | m_processor_v_writable(c_p1, s1))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2829,plain,
% 4.30/4.49 ((m_processor_v_writable(c_p1, s1) | (~node67(s1))) <=> ((~node67(s1)) | m_processor_v_writable(c_p1, s1))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2830,plain,
% 4.30/4.49 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s1) | (~node67(s1)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | ((~node67(s1)) | m_processor_v_writable(c_p1, s1)))),
% 4.30/4.49 inference(monotonicity,[status(thm)],[2829])).
% 4.30/4.49 tff(2831,plain,
% 4.30/4.49 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s1) | (~node67(s1)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s1)) | m_processor_v_writable(c_p1, s1))),
% 4.30/4.49 inference(transitivity,[status(thm)],[2830, 2828])).
% 4.30/4.49 tff(2832,plain,
% 4.30/4.49 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s1) | (~node67(s1)))),
% 4.30/4.49 inference(quant_inst,[status(thm)],[])).
% 4.30/4.49 tff(2833,plain,
% 4.30/4.49 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s1)) | m_processor_v_writable(c_p1, s1)),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2832, 2831])).
% 4.30/4.49 tff(2834,plain,
% 4.30/4.49 ($false),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2833, 2827, 2815, 2820])).
% 4.30/4.49 tff(2835,plain,((~node67(s1)) | m_processor_v_writable(c_p1, s1)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.49 tff(2836,plain,
% 4.30/4.49 (m_processor_v_writable(c_p1, s1)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2835, 2815])).
% 4.30/4.49 tff(2837,assumption,(m_processor_v_writable(c_p1, s1)), introduced(assumption)).
% 4.30/4.49 tff(2838,assumption,(~node56(c_p1, s1)), introduced(assumption)).
% 4.30/4.49 tff(2839,plain,
% 4.30/4.49 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s1)) | node56(c_p1, s1))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s1)) | node56(c_p1, s1))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2840,plain,
% 4.30/4.49 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s1)) | node56(c_p1, s1))),
% 4.30/4.49 inference(quant_inst,[status(thm)],[])).
% 4.30/4.49 tff(2841,plain,
% 4.30/4.49 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s1)) | node56(c_p1, s1)),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2840, 2839])).
% 4.30/4.49 tff(2842,plain,
% 4.30/4.49 ($false),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2841, 2270, 2838, 2837])).
% 4.30/4.49 tff(2843,plain,((~m_processor_v_writable(c_p1, s1)) | node56(c_p1, s1)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.49 tff(2844,plain,
% 4.30/4.49 (node56(c_p1, s1)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2843, 2836])).
% 4.30/4.49 tff(2845,assumption,(node56(c_p1, s1)), introduced(assumption)).
% 4.30/4.49 tff(2846,plain,
% 4.30/4.49 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s1, c_owned) | (~node56(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p1, s1, c_owned) | (~node56(c_p1, s1)))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2847,plain,
% 4.30/4.49 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s1, c_owned) | (~node56(c_p1, s1)))),
% 4.30/4.49 inference(quant_inst,[status(thm)],[])).
% 4.30/4.49 tff(2848,plain,
% 4.30/4.49 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p1, s1, c_owned) | (~node56(c_p1, s1))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2847, 2846])).
% 4.30/4.49 tff(2849,plain,
% 4.30/4.49 ($false),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2848, 2255, 629, 2845])).
% 4.30/4.49 tff(2850,plain,((~node56(c_p1, s1)) | m_processor_v_state(c_p1, s1, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.49 tff(2851,plain,
% 4.30/4.49 (m_processor_v_state(c_p1, s1, c_owned)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2850, 2844])).
% 4.30/4.49 tff(2852,plain,
% 4.30/4.49 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_owned)))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2853,plain,
% 4.30/4.49 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_owned)))),
% 4.30/4.49 inference(quant_inst,[status(thm)],[])).
% 4.30/4.49 tff(2854,plain,
% 4.30/4.49 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_owned))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2853, 2852])).
% 4.30/4.49 tff(2855,plain,
% 4.30/4.49 ($false),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2854, 228, 1366, 1508])).
% 4.30/4.49 tff(2856,plain,((~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_state(c_p1, s1, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 4.30/4.49 tff(2857,plain,
% 4.30/4.49 (~m_processor_v_state(c_p1, s1, c_invalid)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2856, 2851])).
% 4.30/4.49 tff(2858,plain,
% 4.30/4.49 (m_processor_v_master(c_p1, s0)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[142, 2857])).
% 4.30/4.49 tff(2859,plain,
% 4.30/4.49 (~m_processor_v_master(c_p0, s0)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[820, 2858])).
% 4.30/4.49 tff(2860,plain,
% 4.30/4.49 (~m_processor_v_state(c_p0, s1, c_owned)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[1626, 2859])).
% 4.30/4.49 tff(2861,assumption,(node56(c_p0, s1)), introduced(assumption)).
% 4.30/4.49 tff(2862,plain,
% 4.30/4.49 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s1, c_owned) | (~node56(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s1, c_owned) | (~node56(c_p0, s1)))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2863,plain,
% 4.30/4.49 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s1, c_owned) | (~node56(c_p0, s1)))),
% 4.30/4.49 inference(quant_inst,[status(thm)],[])).
% 4.30/4.49 tff(2864,plain,
% 4.30/4.49 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s1, c_owned) | (~node56(c_p0, s1))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2863, 2862])).
% 4.30/4.49 tff(2865,plain,
% 4.30/4.49 ($false),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2864, 2255, 1796, 2861])).
% 4.30/4.49 tff(2866,plain,((~node56(c_p0, s1)) | m_processor_v_state(c_p0, s1, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.49 tff(2867,plain,
% 4.30/4.49 (~node56(c_p0, s1)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2866, 2860])).
% 4.30/4.49 tff(2868,plain,
% 4.30/4.49 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s1)) | node56(c_p0, s1))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s1)) | node56(c_p0, s1))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2869,plain,
% 4.30/4.49 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s1)) | node56(c_p0, s1))),
% 4.30/4.49 inference(quant_inst,[status(thm)],[])).
% 4.30/4.49 tff(2870,plain,
% 4.30/4.49 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s1)) | node56(c_p0, s1)),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2869, 2868])).
% 4.30/4.49 tff(2871,plain,
% 4.30/4.49 ($false),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2870, 2270, 2867, 2819])).
% 4.30/4.49 tff(2872,plain,(~node67(s1)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.49 tff(2873,assumption,(~node67(s2)), introduced(assumption)).
% 4.30/4.49 tff(2874,assumption,(~node67(s1)), introduced(assumption)).
% 4.30/4.49 tff(2875,plain,
% 4.30/4.49 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node56(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s0, c_owned) | (~node56(c_p0, s0)))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2876,plain,
% 4.30/4.49 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node56(c_p0, s0)))),
% 4.30/4.49 inference(quant_inst,[status(thm)],[])).
% 4.30/4.49 tff(2877,plain,
% 4.30/4.49 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s0, c_owned) | (~node56(c_p0, s0))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2876, 2875])).
% 4.30/4.49 tff(2878,plain,
% 4.30/4.49 (~node56(c_p0, s0)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2877, 2255, 291])).
% 4.30/4.49 tff(2879,plain,
% 4.30/4.49 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s0)) | node56(c_p0, s0))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s0)) | node56(c_p0, s0))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2880,plain,
% 4.30/4.49 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s0)) | node56(c_p0, s0))),
% 4.30/4.49 inference(quant_inst,[status(thm)],[])).
% 4.30/4.49 tff(2881,plain,
% 4.30/4.49 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s0)) | node56(c_p0, s0)),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2880, 2879])).
% 4.30/4.49 tff(2882,plain,
% 4.30/4.49 (~m_processor_v_writable(c_p0, s0)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2881, 2270, 2878])).
% 4.30/4.49 tff(2883,plain,
% 4.30/4.49 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s0) | (~node67(s0)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s0) | (~node67(s0)))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2884,plain,
% 4.30/4.49 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s0) | (~node67(s0)))),
% 4.30/4.49 inference(quant_inst,[status(thm)],[])).
% 4.30/4.49 tff(2885,plain,
% 4.30/4.49 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s0) | (~node67(s0))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2884, 2883])).
% 4.30/4.49 tff(2886,plain,
% 4.30/4.49 (~node67(s0)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2885, 2285, 2882])).
% 4.30/4.49 tff(2887,plain,
% 4.30/4.49 (until68(s0) <=> until68(s0)),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2888,axiom,(until68(s0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty10')).
% 4.30/4.49 tff(2889,plain,
% 4.30/4.49 (until68(s0)),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2888, 2887])).
% 4.30/4.49 tff(2890,plain,
% 4.30/4.49 (^[X: $i] : refl((node67(X) | (~until68(X)) | xuntil69(X)) <=> (node67(X) | (~until68(X)) | xuntil69(X)))),
% 4.30/4.49 inference(bind,[status(th)],[])).
% 4.30/4.49 tff(2891,plain,
% 4.30/4.49 (![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X)) <=> ![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))),
% 4.30/4.49 inference(quant_intro,[status(thm)],[2890])).
% 4.30/4.49 tff(2892,plain,
% 4.30/4.49 (![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X)) <=> ![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2893,plain,
% 4.30/4.49 (^[X: $i] : rewrite(((node67(X) | xuntil69(X)) | (~until68(X))) <=> (node67(X) | (~until68(X)) | xuntil69(X)))),
% 4.30/4.49 inference(bind,[status(th)],[])).
% 4.30/4.49 tff(2894,plain,
% 4.30/4.49 (![X: $i] : ((node67(X) | xuntil69(X)) | (~until68(X))) <=> ![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))),
% 4.30/4.49 inference(quant_intro,[status(thm)],[2893])).
% 4.30/4.49 tff(2895,axiom,(![X: $i] : ((node67(X) | xuntil69(X)) | (~until68(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty3')).
% 4.30/4.49 tff(2896,plain,
% 4.30/4.49 (![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2895, 2894])).
% 4.30/4.49 tff(2897,plain,
% 4.30/4.49 (![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2896, 2892])).
% 4.30/4.49 tff(2898,plain,(
% 4.30/4.49 ![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))),
% 4.30/4.49 inference(skolemize,[status(sab)],[2897])).
% 4.30/4.49 tff(2899,plain,
% 4.30/4.49 (![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2898, 2891])).
% 4.30/4.49 tff(2900,plain,
% 4.30/4.49 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s0) | node67(s0) | (~until68(s0)))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s0) | node67(s0) | (~until68(s0)))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2901,plain,
% 4.30/4.49 ((node67(s0) | (~until68(s0)) | xuntil69(s0)) <=> (xuntil69(s0) | node67(s0) | (~until68(s0)))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2902,plain,
% 4.30/4.49 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s0) | (~until68(s0)) | xuntil69(s0))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s0) | node67(s0) | (~until68(s0))))),
% 4.30/4.49 inference(monotonicity,[status(thm)],[2901])).
% 4.30/4.49 tff(2903,plain,
% 4.30/4.49 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s0) | (~until68(s0)) | xuntil69(s0))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s0) | node67(s0) | (~until68(s0)))),
% 4.30/4.49 inference(transitivity,[status(thm)],[2902, 2900])).
% 4.30/4.49 tff(2904,plain,
% 4.30/4.49 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s0) | (~until68(s0)) | xuntil69(s0))),
% 4.30/4.49 inference(quant_inst,[status(thm)],[])).
% 4.30/4.49 tff(2905,plain,
% 4.30/4.49 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s0) | node67(s0) | (~until68(s0))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2904, 2903])).
% 4.30/4.49 tff(2906,plain,
% 4.30/4.49 (xuntil69(s0) | node67(s0)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2905, 2899, 2889])).
% 4.30/4.49 tff(2907,plain,
% 4.30/4.49 (xuntil69(s0)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2906, 2886])).
% 4.30/4.49 tff(2908,plain,
% 4.30/4.49 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil69(X)) | until68(Y)) <=> ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y)))),
% 4.30/4.49 inference(bind,[status(th)],[])).
% 4.30/4.49 tff(2909,plain,
% 4.30/4.49 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))),
% 4.30/4.49 inference(quant_intro,[status(thm)],[2908])).
% 4.30/4.49 tff(2910,plain,
% 4.30/4.49 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2911,plain,
% 4.30/4.49 (^[Y: $i, X: $i] : rewrite(((until68(Y) | (~succ(X, Y))) | (~xuntil69(X))) <=> ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y)))),
% 4.30/4.49 inference(bind,[status(th)],[])).
% 4.30/4.49 tff(2912,plain,
% 4.30/4.49 (![Y: $i, X: $i] : ((until68(Y) | (~succ(X, Y))) | (~xuntil69(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))),
% 4.30/4.49 inference(quant_intro,[status(thm)],[2911])).
% 4.30/4.49 tff(2913,axiom,(![Y: $i, X: $i] : ((until68(Y) | (~succ(X, Y))) | (~xuntil69(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty4')).
% 4.30/4.49 tff(2914,plain,
% 4.30/4.49 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2913, 2912])).
% 4.30/4.49 tff(2915,plain,
% 4.30/4.49 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2914, 2910])).
% 4.30/4.49 tff(2916,plain,(
% 4.30/4.49 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))),
% 4.30/4.49 inference(skolemize,[status(sab)],[2915])).
% 4.30/4.49 tff(2917,plain,
% 4.30/4.49 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2916, 2909])).
% 4.30/4.49 tff(2918,plain,
% 4.30/4.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s0, s1)) | (~xuntil69(s0)) | until68(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s0, s1)) | (~xuntil69(s0)) | until68(s1))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2919,plain,
% 4.30/4.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s0, s1)) | (~xuntil69(s0)) | until68(s1))),
% 4.30/4.49 inference(quant_inst,[status(thm)],[])).
% 4.30/4.49 tff(2920,plain,
% 4.30/4.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s0, s1)) | (~xuntil69(s0)) | until68(s1)),
% 4.30/4.49 inference(modus_ponens,[status(thm)],[2919, 2918])).
% 4.30/4.49 tff(2921,plain,
% 4.30/4.49 ((~xuntil69(s0)) | until68(s1)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2920, 50, 2917])).
% 4.30/4.49 tff(2922,plain,
% 4.30/4.49 (until68(s1)),
% 4.30/4.49 inference(unit_resolution,[status(thm)],[2921, 2907])).
% 4.30/4.49 tff(2923,plain,
% 4.30/4.49 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s1) | node67(s1) | (~until68(s1)))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s1) | node67(s1) | (~until68(s1)))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2924,plain,
% 4.30/4.49 ((node67(s1) | (~until68(s1)) | xuntil69(s1)) <=> (xuntil69(s1) | node67(s1) | (~until68(s1)))),
% 4.30/4.49 inference(rewrite,[status(thm)],[])).
% 4.30/4.49 tff(2925,plain,
% 4.30/4.49 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s1) | (~until68(s1)) | xuntil69(s1))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s1) | node67(s1) | (~until68(s1))))),
% 4.30/4.49 inference(monotonicity,[status(thm)],[2924])).
% 4.30/4.49 tff(2926,plain,
% 4.30/4.49 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s1) | (~until68(s1)) | xuntil69(s1))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s1) | node67(s1) | (~until68(s1)))),
% 4.30/4.49 inference(transitivity,[status(thm)],[2925, 2923])).
% 4.30/4.49 tff(2927,plain,
% 4.30/4.49 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s1) | (~until68(s1)) | xuntil69(s1))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(2928,plain,
% 4.30/4.50 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s1) | node67(s1) | (~until68(s1))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[2927, 2926])).
% 4.30/4.50 tff(2929,plain,
% 4.30/4.50 (xuntil69(s1) | node67(s1)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[2928, 2899, 2922])).
% 4.30/4.50 tff(2930,plain,
% 4.30/4.50 (xuntil69(s1)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[2929, 2874])).
% 4.30/4.50 tff(2931,plain,
% 4.30/4.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s1, s2)) | (~xuntil69(s1)) | until68(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s1, s2)) | (~xuntil69(s1)) | until68(s2))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(2932,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s1, s2)) | (~xuntil69(s1)) | until68(s2))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(2933,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s1, s2)) | (~xuntil69(s1)) | until68(s2)),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[2932, 2931])).
% 4.30/4.50 tff(2934,plain,
% 4.30/4.50 ((~xuntil69(s1)) | until68(s2)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[2933, 1804, 2917])).
% 4.30/4.50 tff(2935,plain,
% 4.30/4.50 (until68(s2)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[2934, 2930])).
% 4.30/4.50 tff(2936,plain,
% 4.30/4.50 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s2) | node67(s2) | (~until68(s2)))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s2) | node67(s2) | (~until68(s2)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(2937,plain,
% 4.30/4.50 ((node67(s2) | (~until68(s2)) | xuntil69(s2)) <=> (xuntil69(s2) | node67(s2) | (~until68(s2)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(2938,plain,
% 4.30/4.50 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s2) | (~until68(s2)) | xuntil69(s2))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s2) | node67(s2) | (~until68(s2))))),
% 4.30/4.50 inference(monotonicity,[status(thm)],[2937])).
% 4.30/4.50 tff(2939,plain,
% 4.30/4.50 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s2) | (~until68(s2)) | xuntil69(s2))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s2) | node67(s2) | (~until68(s2)))),
% 4.30/4.50 inference(transitivity,[status(thm)],[2938, 2936])).
% 4.30/4.50 tff(2940,plain,
% 4.30/4.50 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s2) | (~until68(s2)) | xuntil69(s2))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(2941,plain,
% 4.30/4.50 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s2) | node67(s2) | (~until68(s2))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[2940, 2939])).
% 4.30/4.50 tff(2942,plain,
% 4.30/4.50 (xuntil69(s2) | node67(s2)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[2941, 2899, 2935])).
% 4.30/4.50 tff(2943,plain,
% 4.30/4.50 (xuntil69(s2)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[2942, 2873])).
% 4.30/4.50 tff(2944,plain,
% 4.30/4.50 (succ(s2, s3) <=> succ(s2, s3)),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(2945,axiom,(succ(s2, s3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound3')).
% 4.30/4.50 tff(2946,plain,
% 4.30/4.50 (succ(s2, s3)),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[2945, 2944])).
% 4.30/4.50 tff(2947,plain,
% 4.30/4.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s2, s3)) | (~xuntil69(s2)) | until68(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s2, s3)) | (~xuntil69(s2)) | until68(s3))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(2948,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s2, s3)) | (~xuntil69(s2)) | until68(s3))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(2949,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s2, s3)) | (~xuntil69(s2)) | until68(s3)),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[2948, 2947])).
% 4.30/4.50 tff(2950,plain,
% 4.30/4.50 ((~xuntil69(s2)) | until68(s3)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[2949, 2946, 2917])).
% 4.30/4.50 tff(2951,plain,
% 4.30/4.50 (until68(s3)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[2950, 2943])).
% 4.30/4.50 tff(2952,assumption,(~node67(s3)), introduced(assumption)).
% 4.30/4.50 tff(2953,plain,
% 4.30/4.50 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s3) | node67(s3) | (~until68(s3)))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s3) | node67(s3) | (~until68(s3)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(2954,plain,
% 4.30/4.50 ((node67(s3) | (~until68(s3)) | xuntil69(s3)) <=> (xuntil69(s3) | node67(s3) | (~until68(s3)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(2955,plain,
% 4.30/4.50 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s3) | (~until68(s3)) | xuntil69(s3))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s3) | node67(s3) | (~until68(s3))))),
% 4.30/4.50 inference(monotonicity,[status(thm)],[2954])).
% 4.30/4.50 tff(2956,plain,
% 4.30/4.50 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s3) | (~until68(s3)) | xuntil69(s3))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s3) | node67(s3) | (~until68(s3)))),
% 4.30/4.50 inference(transitivity,[status(thm)],[2955, 2953])).
% 4.30/4.50 tff(2957,plain,
% 4.30/4.50 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s3) | (~until68(s3)) | xuntil69(s3))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(2958,plain,
% 4.30/4.50 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s3) | node67(s3) | (~until68(s3))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[2957, 2956])).
% 4.30/4.50 tff(2959,plain,
% 4.30/4.50 (xuntil69(s3) | (~until68(s3))),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[2958, 2899, 2952])).
% 4.30/4.50 tff(2960,plain,
% 4.30/4.50 (xuntil69(s3)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[2959, 2951])).
% 4.30/4.50 tff(2961,plain,
% 4.30/4.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s3, s4)) | (~xuntil69(s3)) | until68(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s3, s4)) | (~xuntil69(s3)) | until68(s4))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(2962,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s3, s4)) | (~xuntil69(s3)) | until68(s4))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(2963,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s3, s4)) | (~xuntil69(s3)) | until68(s4)),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[2962, 2961])).
% 4.30/4.50 tff(2964,plain,
% 4.30/4.50 ((~xuntil69(s3)) | until68(s4)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[2963, 2335, 2917])).
% 4.30/4.50 tff(2965,plain,
% 4.30/4.50 (until68(s4)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[2964, 2960])).
% 4.30/4.50 tff(2966,assumption,(~node67(s4)), introduced(assumption)).
% 4.30/4.50 tff(2967,plain,
% 4.30/4.50 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s4) | node67(s4) | (~until68(s4)))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s4) | node67(s4) | (~until68(s4)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(2968,plain,
% 4.30/4.50 ((node67(s4) | (~until68(s4)) | xuntil69(s4)) <=> (xuntil69(s4) | node67(s4) | (~until68(s4)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(2969,plain,
% 4.30/4.50 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s4) | (~until68(s4)) | xuntil69(s4))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s4) | node67(s4) | (~until68(s4))))),
% 4.30/4.50 inference(monotonicity,[status(thm)],[2968])).
% 4.30/4.50 tff(2970,plain,
% 4.30/4.50 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s4) | (~until68(s4)) | xuntil69(s4))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s4) | node67(s4) | (~until68(s4)))),
% 4.30/4.50 inference(transitivity,[status(thm)],[2969, 2967])).
% 4.30/4.50 tff(2971,plain,
% 4.30/4.50 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s4) | (~until68(s4)) | xuntil69(s4))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(2972,plain,
% 4.30/4.50 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s4) | node67(s4) | (~until68(s4))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[2971, 2970])).
% 4.30/4.50 tff(2973,plain,
% 4.30/4.50 (xuntil69(s4) | (~until68(s4))),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[2972, 2899, 2966])).
% 4.30/4.50 tff(2974,plain,
% 4.30/4.50 (xuntil69(s4)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[2973, 2965])).
% 4.30/4.50 tff(2975,plain,
% 4.30/4.50 (^[X: $i] : refl(((~last(X)) | (~xuntil2p71(X))) <=> ((~last(X)) | (~xuntil2p71(X))))),
% 4.30/4.50 inference(bind,[status(th)],[])).
% 4.30/4.50 tff(2976,plain,
% 4.30/4.50 (![X: $i] : ((~last(X)) | (~xuntil2p71(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p71(X)))),
% 4.30/4.50 inference(quant_intro,[status(thm)],[2975])).
% 4.30/4.50 tff(2977,plain,
% 4.30/4.50 (![X: $i] : ((~last(X)) | (~xuntil2p71(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p71(X)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(2978,axiom,(![X: $i] : ((~last(X)) | (~xuntil2p71(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty9')).
% 4.30/4.50 tff(2979,plain,
% 4.30/4.50 (![X: $i] : ((~last(X)) | (~xuntil2p71(X)))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[2978, 2977])).
% 4.30/4.50 tff(2980,plain,(
% 4.30/4.50 ![X: $i] : ((~last(X)) | (~xuntil2p71(X)))),
% 4.30/4.50 inference(skolemize,[status(sab)],[2979])).
% 4.30/4.50 tff(2981,plain,
% 4.30/4.50 (![X: $i] : ((~last(X)) | (~xuntil2p71(X)))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[2980, 2976])).
% 4.30/4.50 tff(2982,plain,
% 4.30/4.50 (last(s4) <=> last(s4)),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(2983,axiom,(last(s4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound5')).
% 4.30/4.50 tff(2984,plain,
% 4.30/4.50 (last(s4)),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[2983, 2982])).
% 4.30/4.50 tff(2985,plain,
% 4.30/4.50 (((~![X: $i] : ((~last(X)) | (~xuntil2p71(X)))) | ((~last(s4)) | (~xuntil2p71(s4)))) <=> ((~![X: $i] : ((~last(X)) | (~xuntil2p71(X)))) | (~last(s4)) | (~xuntil2p71(s4)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(2986,plain,
% 4.30/4.50 ((~![X: $i] : ((~last(X)) | (~xuntil2p71(X)))) | ((~last(s4)) | (~xuntil2p71(s4)))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(2987,plain,
% 4.30/4.50 ((~![X: $i] : ((~last(X)) | (~xuntil2p71(X)))) | (~last(s4)) | (~xuntil2p71(s4))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[2986, 2985])).
% 4.30/4.50 tff(2988,plain,
% 4.30/4.50 (~xuntil2p71(s4)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[2987, 2984, 2981])).
% 4.30/4.50 tff(2989,plain,
% 4.30/4.50 (^[X: $i] : refl((node67(X) | xuntil2p71(X) | (~until2p70(X))) <=> (node67(X) | xuntil2p71(X) | (~until2p70(X))))),
% 4.30/4.50 inference(bind,[status(th)],[])).
% 4.30/4.50 tff(2990,plain,
% 4.30/4.50 (![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X))) <=> ![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))),
% 4.30/4.50 inference(quant_intro,[status(thm)],[2989])).
% 4.30/4.50 tff(2991,plain,
% 4.30/4.50 (![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X))) <=> ![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(2992,plain,
% 4.30/4.50 (^[X: $i] : rewrite(((node67(X) | xuntil2p71(X)) | (~until2p70(X))) <=> (node67(X) | xuntil2p71(X) | (~until2p70(X))))),
% 4.30/4.50 inference(bind,[status(th)],[])).
% 4.30/4.50 tff(2993,plain,
% 4.30/4.50 (![X: $i] : ((node67(X) | xuntil2p71(X)) | (~until2p70(X))) <=> ![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))),
% 4.30/4.50 inference(quant_intro,[status(thm)],[2992])).
% 4.30/4.50 tff(2994,axiom,(![X: $i] : ((node67(X) | xuntil2p71(X)) | (~until2p70(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty7')).
% 4.30/4.50 tff(2995,plain,
% 4.30/4.50 (![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[2994, 2993])).
% 4.30/4.50 tff(2996,plain,
% 4.30/4.50 (![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[2995, 2991])).
% 4.30/4.50 tff(2997,plain,(
% 4.30/4.50 ![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))),
% 4.30/4.50 inference(skolemize,[status(sab)],[2996])).
% 4.30/4.50 tff(2998,plain,
% 4.30/4.50 (![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[2997, 2990])).
% 4.30/4.50 tff(2999,plain,
% 4.30/4.50 (((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s4) | xuntil2p71(s4) | (~until2p70(s4)))) <=> ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s4) | xuntil2p71(s4) | (~until2p70(s4)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3000,plain,
% 4.30/4.50 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s4) | xuntil2p71(s4) | (~until2p70(s4)))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(3001,plain,
% 4.30/4.50 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s4) | xuntil2p71(s4) | (~until2p70(s4))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3000, 2999])).
% 4.30/4.50 tff(3002,plain,
% 4.30/4.50 (node67(s4) | (~until2p70(s4))),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3001, 2998, 2988])).
% 4.30/4.50 tff(3003,plain,
% 4.30/4.50 (~until2p70(s4)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3002, 2966])).
% 4.30/4.50 tff(3004,plain,
% 4.30/4.50 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X))) <=> ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X))))),
% 4.30/4.50 inference(bind,[status(th)],[])).
% 4.30/4.50 tff(3005,plain,
% 4.30/4.50 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))),
% 4.30/4.50 inference(quant_intro,[status(thm)],[3004])).
% 4.30/4.50 tff(3006,plain,
% 4.30/4.50 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3007,plain,
% 4.30/4.50 (^[Y: $i, X: $i] : rewrite(((until2p70(Y) | (~succ(X, Y))) | (~xuntil2p71(X))) <=> ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X))))),
% 4.30/4.50 inference(bind,[status(th)],[])).
% 4.30/4.50 tff(3008,plain,
% 4.30/4.50 (![Y: $i, X: $i] : ((until2p70(Y) | (~succ(X, Y))) | (~xuntil2p71(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))),
% 4.30/4.50 inference(quant_intro,[status(thm)],[3007])).
% 4.30/4.50 tff(3009,axiom,(![Y: $i, X: $i] : ((until2p70(Y) | (~succ(X, Y))) | (~xuntil2p71(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty8')).
% 4.30/4.50 tff(3010,plain,
% 4.30/4.50 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3009, 3008])).
% 4.30/4.50 tff(3011,plain,
% 4.30/4.50 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3010, 3006])).
% 4.30/4.50 tff(3012,plain,(
% 4.30/4.50 ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))),
% 4.30/4.50 inference(skolemize,[status(sab)],[3011])).
% 4.30/4.50 tff(3013,plain,
% 4.30/4.50 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3012, 3005])).
% 4.30/4.50 tff(3014,plain,
% 4.30/4.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s3, s4)) | until2p70(s4) | (~xuntil2p71(s3)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s3, s4)) | until2p70(s4) | (~xuntil2p71(s3)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3015,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s3, s4)) | until2p70(s4) | (~xuntil2p71(s3)))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(3016,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s3, s4)) | until2p70(s4) | (~xuntil2p71(s3))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3015, 3014])).
% 4.30/4.50 tff(3017,plain,
% 4.30/4.50 (until2p70(s4) | (~xuntil2p71(s3))),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3016, 2335, 3013])).
% 4.30/4.50 tff(3018,plain,
% 4.30/4.50 (~xuntil2p71(s3)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3017, 3003])).
% 4.30/4.50 tff(3019,plain,
% 4.30/4.50 (((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s3) | xuntil2p71(s3) | (~until2p70(s3)))) <=> ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s3) | xuntil2p71(s3) | (~until2p70(s3)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3020,plain,
% 4.30/4.50 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s3) | xuntil2p71(s3) | (~until2p70(s3)))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(3021,plain,
% 4.30/4.50 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s3) | xuntil2p71(s3) | (~until2p70(s3))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3020, 3019])).
% 4.30/4.50 tff(3022,plain,
% 4.30/4.50 (xuntil2p71(s3) | (~until2p70(s3))),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3021, 2998, 2952])).
% 4.30/4.50 tff(3023,plain,
% 4.30/4.50 (~until2p70(s3)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3022, 3018])).
% 4.30/4.50 tff(3024,plain,
% 4.30/4.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s2, s3)) | until2p70(s3) | (~xuntil2p71(s2)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s2, s3)) | until2p70(s3) | (~xuntil2p71(s2)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3025,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s2, s3)) | until2p70(s3) | (~xuntil2p71(s2)))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(3026,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s2, s3)) | until2p70(s3) | (~xuntil2p71(s2))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3025, 3024])).
% 4.30/4.50 tff(3027,plain,
% 4.30/4.50 (until2p70(s3) | (~xuntil2p71(s2))),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3026, 2946, 3013])).
% 4.30/4.50 tff(3028,plain,
% 4.30/4.50 (~xuntil2p71(s2)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3027, 3023])).
% 4.30/4.50 tff(3029,plain,
% 4.30/4.50 (((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s2) | xuntil2p71(s2) | (~until2p70(s2)))) <=> ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s2) | xuntil2p71(s2) | (~until2p70(s2)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3030,plain,
% 4.30/4.50 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s2) | xuntil2p71(s2) | (~until2p70(s2)))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(3031,plain,
% 4.30/4.50 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s2) | xuntil2p71(s2) | (~until2p70(s2))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3030, 3029])).
% 4.30/4.50 tff(3032,plain,
% 4.30/4.50 (node67(s2) | (~until2p70(s2))),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3031, 2998, 3028])).
% 4.30/4.50 tff(3033,plain,
% 4.30/4.50 (~until2p70(s2)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3032, 2873])).
% 4.30/4.50 tff(3034,plain,
% 4.30/4.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s1, s2)) | until2p70(s2) | (~xuntil2p71(s1)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s1, s2)) | until2p70(s2) | (~xuntil2p71(s1)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3035,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s1, s2)) | until2p70(s2) | (~xuntil2p71(s1)))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(3036,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s1, s2)) | until2p70(s2) | (~xuntil2p71(s1))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3035, 3034])).
% 4.30/4.50 tff(3037,plain,
% 4.30/4.50 (until2p70(s2) | (~xuntil2p71(s1))),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3036, 1804, 3013])).
% 4.30/4.50 tff(3038,plain,
% 4.30/4.50 (~xuntil2p71(s1)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3037, 3033])).
% 4.30/4.50 tff(3039,plain,
% 4.30/4.50 (((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s1) | xuntil2p71(s1) | (~until2p70(s1)))) <=> ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s1) | xuntil2p71(s1) | (~until2p70(s1)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3040,plain,
% 4.30/4.50 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s1) | xuntil2p71(s1) | (~until2p70(s1)))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(3041,plain,
% 4.30/4.50 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s1) | xuntil2p71(s1) | (~until2p70(s1))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3040, 3039])).
% 4.30/4.50 tff(3042,plain,
% 4.30/4.50 (~until2p70(s1)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3041, 2998, 3038, 2874])).
% 4.30/4.50 tff(3043,plain,
% 4.30/4.50 (^[Y: $i, X: $i] : refl(((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y)) <=> ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y)))),
% 4.30/4.50 inference(bind,[status(th)],[])).
% 4.30/4.50 tff(3044,plain,
% 4.30/4.50 (![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y)) <=> ![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))),
% 4.30/4.50 inference(quant_intro,[status(thm)],[3043])).
% 4.30/4.50 tff(3045,plain,
% 4.30/4.50 (![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y)) <=> ![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3046,plain,
% 4.30/4.50 (^[Y: $i, X: $i] : trans(monotonicity(rewrite(((until2p70(Y) | (~trans(X, Y))) | (~last(X))) <=> ((~last(X)) | (~trans(X, Y)) | until2p70(Y))), ((((until2p70(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil69(X))) <=> (((~last(X)) | (~trans(X, Y)) | until2p70(Y)) | (~xuntil69(X))))), rewrite((((~last(X)) | (~trans(X, Y)) | until2p70(Y)) | (~xuntil69(X))) <=> ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))), ((((until2p70(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil69(X))) <=> ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))))),
% 4.30/4.50 inference(bind,[status(th)],[])).
% 4.30/4.50 tff(3047,plain,
% 4.30/4.50 (![Y: $i, X: $i] : (((until2p70(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil69(X))) <=> ![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))),
% 4.30/4.50 inference(quant_intro,[status(thm)],[3046])).
% 4.30/4.50 tff(3048,axiom,(![Y: $i, X: $i] : (((until2p70(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil69(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty6')).
% 4.30/4.50 tff(3049,plain,
% 4.30/4.50 (![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3048, 3047])).
% 4.30/4.50 tff(3050,plain,
% 4.30/4.50 (![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3049, 3045])).
% 4.30/4.50 tff(3051,plain,(
% 4.30/4.50 ![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))),
% 4.30/4.50 inference(skolemize,[status(sab)],[3050])).
% 4.30/4.50 tff(3052,plain,
% 4.30/4.50 (![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3051, 3044])).
% 4.30/4.50 tff(3053,assumption,(xuntil69(s4)), introduced(assumption)).
% 4.30/4.50 tff(3054,assumption,(~until2p70(s3)), introduced(assumption)).
% 4.30/4.50 tff(3055,assumption,(trans(s4, s3)), introduced(assumption)).
% 4.30/4.50 tff(3056,plain,
% 4.30/4.50 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s3) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s3)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s3) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s3)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3057,plain,
% 4.30/4.50 (((~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s3)) | until2p70(s3)) <=> (until2p70(s3) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s3)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3058,plain,
% 4.30/4.50 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s3)) | until2p70(s3))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s3) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s3))))),
% 4.30/4.50 inference(monotonicity,[status(thm)],[3057])).
% 4.30/4.50 tff(3059,plain,
% 4.30/4.50 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s3)) | until2p70(s3))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s3) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s3)))),
% 4.30/4.50 inference(transitivity,[status(thm)],[3058, 3056])).
% 4.30/4.50 tff(3060,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s3)) | until2p70(s3))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(3061,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s3) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s3))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3060, 3059])).
% 4.30/4.50 tff(3062,plain,
% 4.30/4.50 ($false),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3061, 2984, 3055, 3052, 3054, 3053])).
% 4.30/4.50 tff(3063,plain,((~trans(s4, s3)) | until2p70(s3) | (~xuntil69(s4))), inference(lemma,lemma(discharge,[]))).
% 4.30/4.50 tff(3064,plain,
% 4.30/4.50 (~trans(s4, s3)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3063, 2974, 3023])).
% 4.30/4.50 tff(3065,plain,
% 4.30/4.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s0, s1)) | until2p70(s1) | (~xuntil2p71(s0)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s0, s1)) | until2p70(s1) | (~xuntil2p71(s0)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3066,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s0, s1)) | until2p70(s1) | (~xuntil2p71(s0)))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(3067,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s0, s1)) | until2p70(s1) | (~xuntil2p71(s0))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3066, 3065])).
% 4.30/4.50 tff(3068,plain,
% 4.30/4.50 (until2p70(s1) | (~xuntil2p71(s0))),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3067, 50, 3013])).
% 4.30/4.50 tff(3069,plain,
% 4.30/4.50 (~xuntil2p71(s0)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3068, 3042])).
% 4.30/4.50 tff(3070,plain,
% 4.30/4.50 (((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s0) | xuntil2p71(s0) | (~until2p70(s0)))) <=> ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s0) | xuntil2p71(s0) | (~until2p70(s0)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3071,plain,
% 4.30/4.50 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s0) | xuntil2p71(s0) | (~until2p70(s0)))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(3072,plain,
% 4.30/4.50 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s0) | xuntil2p71(s0) | (~until2p70(s0))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3071, 3070])).
% 4.30/4.50 tff(3073,plain,
% 4.30/4.50 (xuntil2p71(s0) | (~until2p70(s0))),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3072, 2998, 2886])).
% 4.30/4.50 tff(3074,plain,
% 4.30/4.50 (~until2p70(s0)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3073, 3069])).
% 4.30/4.50 tff(3075,assumption,(~until2p70(s0)), introduced(assumption)).
% 4.30/4.50 tff(3076,assumption,(trans(s4, s0)), introduced(assumption)).
% 4.30/4.50 tff(3077,plain,
% 4.30/4.50 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s4)) | (~xuntil69(s4)) | until2p70(s0) | (~trans(s4, s0)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (~last(s4)) | (~xuntil69(s4)) | until2p70(s0) | (~trans(s4, s0)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3078,plain,
% 4.30/4.50 (((~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s0)) | until2p70(s0)) <=> ((~last(s4)) | (~xuntil69(s4)) | until2p70(s0) | (~trans(s4, s0)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3079,plain,
% 4.30/4.50 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s0)) | until2p70(s0))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s4)) | (~xuntil69(s4)) | until2p70(s0) | (~trans(s4, s0))))),
% 4.30/4.50 inference(monotonicity,[status(thm)],[3078])).
% 4.30/4.50 tff(3080,plain,
% 4.30/4.50 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s0)) | until2p70(s0))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (~last(s4)) | (~xuntil69(s4)) | until2p70(s0) | (~trans(s4, s0)))),
% 4.30/4.50 inference(transitivity,[status(thm)],[3079, 3077])).
% 4.30/4.50 tff(3081,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s0)) | until2p70(s0))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(3082,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (~last(s4)) | (~xuntil69(s4)) | until2p70(s0) | (~trans(s4, s0))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3081, 3080])).
% 4.30/4.50 tff(3083,plain,
% 4.30/4.50 ($false),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3082, 2984, 3076, 3052, 3053, 3075])).
% 4.30/4.50 tff(3084,plain,((~trans(s4, s0)) | (~xuntil69(s4)) | until2p70(s0)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.50 tff(3085,plain,
% 4.30/4.50 (~trans(s4, s0)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3084, 3074, 2974])).
% 4.30/4.50 tff(3086,plain,
% 4.30/4.50 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil69(X))) <=> (loop | (~last(X)) | (~xuntil69(X))))),
% 4.30/4.50 inference(bind,[status(th)],[])).
% 4.30/4.50 tff(3087,plain,
% 4.30/4.50 (![X: $i] : (loop | (~last(X)) | (~xuntil69(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))),
% 4.30/4.50 inference(quant_intro,[status(thm)],[3086])).
% 4.30/4.50 tff(3088,plain,
% 4.30/4.50 (![X: $i] : (loop | (~last(X)) | (~xuntil69(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3089,plain,
% 4.30/4.50 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil69(X))) <=> (loop | (~last(X)) | (~xuntil69(X))))),
% 4.30/4.50 inference(bind,[status(th)],[])).
% 4.30/4.50 tff(3090,plain,
% 4.30/4.50 (![X: $i] : ((loop | (~last(X))) | (~xuntil69(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))),
% 4.30/4.50 inference(quant_intro,[status(thm)],[3089])).
% 4.30/4.50 tff(3091,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil69(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty5')).
% 4.30/4.50 tff(3092,plain,
% 4.30/4.50 (![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3091, 3090])).
% 4.30/4.50 tff(3093,plain,
% 4.30/4.50 (![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3092, 3088])).
% 4.30/4.50 tff(3094,plain,(
% 4.30/4.50 ![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))),
% 4.30/4.50 inference(skolemize,[status(sab)],[3093])).
% 4.30/4.50 tff(3095,plain,
% 4.30/4.50 (![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3094, 3087])).
% 4.30/4.50 tff(3096,plain,
% 4.30/4.50 (((~![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))) | (loop | (~last(s4)) | (~xuntil69(s4)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))) | loop | (~last(s4)) | (~xuntil69(s4)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3097,plain,
% 4.30/4.50 ((~![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))) | (loop | (~last(s4)) | (~xuntil69(s4)))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(3098,plain,
% 4.30/4.50 ((~![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))) | loop | (~last(s4)) | (~xuntil69(s4))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3097, 3096])).
% 4.30/4.50 tff(3099,plain,
% 4.30/4.50 (loop | (~xuntil69(s4))),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3098, 2984, 3095])).
% 4.30/4.50 tff(3100,plain,
% 4.30/4.50 (loop),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3099, 2974])).
% 4.30/4.50 tff(3101,assumption,(~until2p70(s4)), introduced(assumption)).
% 4.30/4.50 tff(3102,assumption,(trans(s4, s4)), introduced(assumption)).
% 4.30/4.50 tff(3103,plain,
% 4.30/4.50 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s4) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s4)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s4) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s4)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3104,plain,
% 4.30/4.50 (((~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s4)) | until2p70(s4)) <=> (until2p70(s4) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s4)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3105,plain,
% 4.30/4.50 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s4)) | until2p70(s4))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s4) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s4))))),
% 4.30/4.50 inference(monotonicity,[status(thm)],[3104])).
% 4.30/4.50 tff(3106,plain,
% 4.30/4.50 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s4)) | until2p70(s4))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s4) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s4)))),
% 4.30/4.50 inference(transitivity,[status(thm)],[3105, 3103])).
% 4.30/4.50 tff(3107,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s4)) | until2p70(s4))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(3108,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s4) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s4))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3107, 3106])).
% 4.30/4.50 tff(3109,plain,
% 4.30/4.50 ($false),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3108, 2984, 3102, 3052, 3101, 3053])).
% 4.30/4.50 tff(3110,plain,((~trans(s4, s4)) | until2p70(s4) | (~xuntil69(s4))), inference(lemma,lemma(discharge,[]))).
% 4.30/4.50 tff(3111,plain,
% 4.30/4.50 (~trans(s4, s4)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3110, 2974, 3003])).
% 4.30/4.50 tff(3112,assumption,(~until2p70(s2)), introduced(assumption)).
% 4.30/4.50 tff(3113,assumption,(trans(s4, s2)), introduced(assumption)).
% 4.30/4.50 tff(3114,plain,
% 4.30/4.50 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s2) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s2)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s2) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s2)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3115,plain,
% 4.30/4.50 (((~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s2)) | until2p70(s2)) <=> (until2p70(s2) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s2)))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3116,plain,
% 4.30/4.50 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s2)) | until2p70(s2))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s2) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s2))))),
% 4.30/4.50 inference(monotonicity,[status(thm)],[3115])).
% 4.30/4.50 tff(3117,plain,
% 4.30/4.50 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s2)) | until2p70(s2))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s2) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s2)))),
% 4.30/4.50 inference(transitivity,[status(thm)],[3116, 3114])).
% 4.30/4.50 tff(3118,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s2)) | until2p70(s2))),
% 4.30/4.50 inference(quant_inst,[status(thm)],[])).
% 4.30/4.50 tff(3119,plain,
% 4.30/4.50 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s2) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s2))),
% 4.30/4.50 inference(modus_ponens,[status(thm)],[3118, 3117])).
% 4.30/4.50 tff(3120,plain,
% 4.30/4.50 ($false),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3119, 2984, 3113, 3052, 3112, 3053])).
% 4.30/4.50 tff(3121,plain,((~trans(s4, s2)) | until2p70(s2) | (~xuntil69(s4))), inference(lemma,lemma(discharge,[]))).
% 4.30/4.50 tff(3122,plain,
% 4.30/4.50 (~trans(s4, s2)),
% 4.30/4.50 inference(unit_resolution,[status(thm)],[3121, 3033, 2974])).
% 4.30/4.50 tff(3123,plain,
% 4.30/4.50 (((~loop) | trans(s4, s0) | trans(s4, s1) | trans(s4, s2) | trans(s4, s3) | trans(s4, s4)) <=> ((~loop) | trans(s4, s0) | trans(s4, s1) | trans(s4, s2) | trans(s4, s3) | trans(s4, s4))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3124,plain,
% 4.30/4.50 ((((~loop) | trans(s4, s0) | trans(s4, s1) | trans(s4, s2) | trans(s4, s3)) | trans(s4, s4)) <=> ((~loop) | trans(s4, s0) | trans(s4, s1) | trans(s4, s2) | trans(s4, s3) | trans(s4, s4))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3125,plain,
% 4.30/4.50 ((((~loop) | trans(s4, s0) | trans(s4, s1) | trans(s4, s2)) | trans(s4, s3)) <=> ((~loop) | trans(s4, s0) | trans(s4, s1) | trans(s4, s2) | trans(s4, s3))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3126,plain,
% 4.30/4.50 ((((~loop) | trans(s4, s0) | trans(s4, s1)) | trans(s4, s2)) <=> ((~loop) | trans(s4, s0) | trans(s4, s1) | trans(s4, s2))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3127,plain,
% 4.30/4.50 ((((~loop) | trans(s4, s0)) | trans(s4, s1)) <=> ((~loop) | trans(s4, s0) | trans(s4, s1))),
% 4.30/4.50 inference(rewrite,[status(thm)],[])).
% 4.30/4.50 tff(3128,plain,
% 4.30/4.50 (((((~loop) | trans(s4, s0)) | trans(s4, s1)) | trans(s4, s2)) <=> (((~loop) | trans(s4, s0) | trans(s4, s1)) | trans(s4, s2))),
% 4.30/4.50 inference(monotonicity,[status(thm)],[3127])).
% 4.30/4.50 tff(3129,plain,
% 4.30/4.50 (((((~loop) | trans(s4, s0)) | trans(s4, s1)) | trans(s4, s2)) <=> ((~loop) | trans(s4, s0) | trans(s4, s1) | trans(s4, s2))),
% 4.30/4.50 inference(transitivity,[status(thm)],[3128, 3126])).
% 4.30/4.50 tff(3130,plain,
% 4.30/4.50 ((((((~loop) | trans(s4, s0)) | trans(s4, s1)) | trans(s4, s2)) | trans(s4, s3)) <=> (((~loop) | trans(s4, s0) | trans(s4, s1) | trans(s4, s2)) | trans(s4, s3))),
% 4.30/4.51 inference(monotonicity,[status(thm)],[3129])).
% 4.30/4.51 tff(3131,plain,
% 4.30/4.51 ((((((~loop) | trans(s4, s0)) | trans(s4, s1)) | trans(s4, s2)) | trans(s4, s3)) <=> ((~loop) | trans(s4, s0) | trans(s4, s1) | trans(s4, s2) | trans(s4, s3))),
% 4.30/4.51 inference(transitivity,[status(thm)],[3130, 3125])).
% 4.30/4.51 tff(3132,plain,
% 4.30/4.51 (((((((~loop) | trans(s4, s0)) | trans(s4, s1)) | trans(s4, s2)) | trans(s4, s3)) | trans(s4, s4)) <=> (((~loop) | trans(s4, s0) | trans(s4, s1) | trans(s4, s2) | trans(s4, s3)) | trans(s4, s4))),
% 4.30/4.51 inference(monotonicity,[status(thm)],[3131])).
% 4.30/4.51 tff(3133,plain,
% 4.30/4.51 (((((((~loop) | trans(s4, s0)) | trans(s4, s1)) | trans(s4, s2)) | trans(s4, s3)) | trans(s4, s4)) <=> ((~loop) | trans(s4, s0) | trans(s4, s1) | trans(s4, s2) | trans(s4, s3) | trans(s4, s4))),
% 4.30/4.51 inference(transitivity,[status(thm)],[3132, 3124])).
% 4.30/4.51 tff(3134,axiom,((((((~loop) | trans(s4, s0)) | trans(s4, s1)) | trans(s4, s2)) | trans(s4, s3)) | trans(s4, s4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound7')).
% 4.30/4.51 tff(3135,plain,
% 4.30/4.51 ((~loop) | trans(s4, s0) | trans(s4, s1) | trans(s4, s2) | trans(s4, s3) | trans(s4, s4)),
% 4.30/4.51 inference(modus_ponens,[status(thm)],[3134, 3133])).
% 4.30/4.51 tff(3136,plain,
% 4.30/4.51 ((~loop) | trans(s4, s0) | trans(s4, s1) | trans(s4, s2) | trans(s4, s3) | trans(s4, s4)),
% 4.30/4.51 inference(modus_ponens,[status(thm)],[3135, 3123])).
% 4.30/4.51 tff(3137,plain,
% 4.30/4.51 (trans(s4, s1)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3136, 3122, 3111, 3100, 3085, 3064])).
% 4.30/4.51 tff(3138,plain,
% 4.30/4.51 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s1) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s1)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s1) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s1)))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3139,plain,
% 4.30/4.51 (((~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s1)) | until2p70(s1)) <=> (until2p70(s1) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s1)))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3140,plain,
% 4.30/4.51 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s1)) | until2p70(s1))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s1) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s1))))),
% 4.30/4.51 inference(monotonicity,[status(thm)],[3139])).
% 4.30/4.51 tff(3141,plain,
% 4.30/4.51 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s1)) | until2p70(s1))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s1) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s1)))),
% 4.30/4.51 inference(transitivity,[status(thm)],[3140, 3138])).
% 4.30/4.51 tff(3142,plain,
% 4.30/4.51 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s1)) | until2p70(s1))),
% 4.30/4.51 inference(quant_inst,[status(thm)],[])).
% 4.30/4.51 tff(3143,plain,
% 4.30/4.51 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s1) | (~last(s4)) | (~xuntil69(s4)) | (~trans(s4, s1))),
% 4.30/4.51 inference(modus_ponens,[status(thm)],[3142, 3141])).
% 4.30/4.51 tff(3144,plain,
% 4.30/4.51 ($false),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3143, 2984, 3137, 3052, 3042, 2974])).
% 4.30/4.51 tff(3145,plain,(node67(s2) | node67(s1) | node67(s4) | node67(s3)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.51 tff(3146,plain,
% 4.30/4.51 (node67(s2) | node67(s4) | node67(s3)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3145, 2872])).
% 4.30/4.51 tff(3147,plain,
% 4.30/4.51 (node67(s2)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3146, 2814, 2291])).
% 4.30/4.51 tff(3148,assumption,(~m_processor_v_writable(c_p0, s2)), introduced(assumption)).
% 4.30/4.51 tff(3149,assumption,(node67(s2)), introduced(assumption)).
% 4.30/4.51 tff(3150,plain,
% 4.30/4.51 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | ((~node67(s2)) | m_processor_v_writable(c_p0, s2))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (~node67(s2)) | m_processor_v_writable(c_p0, s2))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3151,plain,
% 4.30/4.51 ((m_processor_v_writable(c_p0, s2) | (~node67(s2))) <=> ((~node67(s2)) | m_processor_v_writable(c_p0, s2))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3152,plain,
% 4.30/4.51 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s2) | (~node67(s2)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | ((~node67(s2)) | m_processor_v_writable(c_p0, s2)))),
% 4.30/4.51 inference(monotonicity,[status(thm)],[3151])).
% 4.30/4.51 tff(3153,plain,
% 4.30/4.51 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s2) | (~node67(s2)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (~node67(s2)) | m_processor_v_writable(c_p0, s2))),
% 4.30/4.51 inference(transitivity,[status(thm)],[3152, 3150])).
% 4.30/4.51 tff(3154,plain,
% 4.30/4.51 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s2) | (~node67(s2)))),
% 4.30/4.51 inference(quant_inst,[status(thm)],[])).
% 4.30/4.51 tff(3155,plain,
% 4.30/4.51 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (~node67(s2)) | m_processor_v_writable(c_p0, s2)),
% 4.30/4.51 inference(modus_ponens,[status(thm)],[3154, 3153])).
% 4.30/4.51 tff(3156,plain,
% 4.30/4.51 ($false),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3155, 2285, 3149, 3148])).
% 4.30/4.51 tff(3157,plain,((~node67(s2)) | m_processor_v_writable(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.51 tff(3158,plain,
% 4.30/4.51 (m_processor_v_writable(c_p0, s2)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3157, 3147])).
% 4.30/4.51 tff(3159,assumption,(m_processor_v_writable(c_p0, s2)), introduced(assumption)).
% 4.30/4.51 tff(3160,assumption,(~node56(c_p0, s2)), introduced(assumption)).
% 4.30/4.51 tff(3161,plain,
% 4.30/4.51 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s2)) | node56(c_p0, s2))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s2)) | node56(c_p0, s2))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3162,plain,
% 4.30/4.51 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s2)) | node56(c_p0, s2))),
% 4.30/4.51 inference(quant_inst,[status(thm)],[])).
% 4.30/4.51 tff(3163,plain,
% 4.30/4.51 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s2)) | node56(c_p0, s2)),
% 4.30/4.51 inference(modus_ponens,[status(thm)],[3162, 3161])).
% 4.30/4.51 tff(3164,plain,
% 4.30/4.51 ($false),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3163, 2270, 3160, 3159])).
% 4.30/4.51 tff(3165,plain,((~m_processor_v_writable(c_p0, s2)) | node56(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.51 tff(3166,plain,
% 4.30/4.51 (node56(c_p0, s2)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3165, 3158])).
% 4.30/4.51 tff(3167,assumption,(node56(c_p0, s2)), introduced(assumption)).
% 4.30/4.51 tff(3168,plain,
% 4.30/4.51 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s2, c_owned) | (~node56(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s2, c_owned) | (~node56(c_p0, s2)))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3169,plain,
% 4.30/4.51 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s2, c_owned) | (~node56(c_p0, s2)))),
% 4.30/4.51 inference(quant_inst,[status(thm)],[])).
% 4.30/4.51 tff(3170,plain,
% 4.30/4.51 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s2, c_owned) | (~node56(c_p0, s2))),
% 4.30/4.51 inference(modus_ponens,[status(thm)],[3169, 3168])).
% 4.30/4.51 tff(3171,plain,
% 4.30/4.51 ($false),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3170, 2255, 2221, 3167])).
% 4.30/4.51 tff(3172,plain,((~node56(c_p0, s2)) | m_processor_v_state(c_p0, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.51 tff(3173,plain,
% 4.30/4.51 (m_processor_v_state(c_p0, s2, c_owned)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3172, 3166])).
% 4.30/4.51 tff(3174,plain,
% 4.30/4.51 (((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p0, s2)) | (~node56(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p0, s2)) | (~node56(c_p0, s2)))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3175,plain,
% 4.30/4.51 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p0, s2)) | (~node56(c_p0, s2)))),
% 4.30/4.51 inference(quant_inst,[status(thm)],[])).
% 4.30/4.51 tff(3176,plain,
% 4.30/4.51 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p0, s2)) | (~node56(c_p0, s2))),
% 4.30/4.51 inference(modus_ponens,[status(thm)],[3175, 3174])).
% 4.30/4.51 tff(3177,plain,
% 4.30/4.51 (~m_processor_v_waiting(c_p0, s2)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3176, 2734, 3166])).
% 4.30/4.51 tff(3178,plain,
% 4.30/4.51 (^[V: $i, Y: $i, I0: $i, X: $i] : refl(((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V))) <=> ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V))))),
% 4.30/4.51 inference(bind,[status(th)],[])).
% 4.30/4.51 tff(3179,plain,
% 4.30/4.51 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))),
% 4.30/4.51 inference(quant_intro,[status(thm)],[3178])).
% 4.30/4.51 tff(3180,plain,
% 4.30/4.51 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3181,plain,
% 4.30/4.51 (^[V: $i, Y: $i, I0: $i, X: $i] : rewrite((((~m_processor_v_state(I0, Y, V)) | m_processor_v_state(I0, X, V)) | (~node32(I0, X, Y))) <=> ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V))))),
% 4.30/4.51 inference(bind,[status(th)],[])).
% 4.30/4.51 tff(3182,plain,
% 4.30/4.51 (![V: $i, Y: $i, I0: $i, X: $i] : (((~m_processor_v_state(I0, Y, V)) | m_processor_v_state(I0, X, V)) | (~node32(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))),
% 4.30/4.51 inference(quant_intro,[status(thm)],[3181])).
% 4.30/4.51 tff(3183,axiom,(![V: $i, Y: $i, I0: $i, X: $i] : (((~m_processor_v_state(I0, Y, V)) | m_processor_v_state(I0, X, V)) | (~node32(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_50')).
% 4.30/4.51 tff(3184,plain,
% 4.30/4.51 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))),
% 4.30/4.51 inference(modus_ponens,[status(thm)],[3183, 3182])).
% 4.30/4.51 tff(3185,plain,
% 4.30/4.51 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))),
% 4.30/4.51 inference(modus_ponens,[status(thm)],[3184, 3180])).
% 4.30/4.51 tff(3186,plain,(
% 4.30/4.51 ![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))),
% 4.30/4.51 inference(skolemize,[status(sab)],[3185])).
% 4.30/4.51 tff(3187,plain,
% 4.30/4.51 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))),
% 4.30/4.51 inference(modus_ponens,[status(thm)],[3186, 3179])).
% 4.30/4.51 tff(3188,plain,
% 4.30/4.51 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~node32(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~node32(c_p0, s1, s2)))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3189,plain,
% 4.30/4.51 (((~node32(c_p0, s1, s2)) | m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned))) <=> (m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~node32(c_p0, s1, s2)))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3190,plain,
% 4.30/4.51 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s1, s2)) | m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~node32(c_p0, s1, s2))))),
% 4.30/4.51 inference(monotonicity,[status(thm)],[3189])).
% 4.30/4.51 tff(3191,plain,
% 4.30/4.51 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s1, s2)) | m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~node32(c_p0, s1, s2)))),
% 4.30/4.51 inference(transitivity,[status(thm)],[3190, 3188])).
% 4.30/4.51 tff(3192,plain,
% 4.30/4.51 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s1, s2)) | m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned)))),
% 4.30/4.51 inference(quant_inst,[status(thm)],[])).
% 4.30/4.51 tff(3193,plain,
% 4.30/4.51 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~node32(c_p0, s1, s2))),
% 4.30/4.51 inference(modus_ponens,[status(thm)],[3192, 3191])).
% 4.30/4.51 tff(3194,plain,
% 4.30/4.51 ($false),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3193, 3187, 1796, 2006, 1769])).
% 4.30/4.51 tff(3195,plain,((~node32(c_p0, s1, s2)) | m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.30/4.51 tff(3196,plain,
% 4.30/4.51 (~node32(c_p0, s1, s2)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3195, 1796, 1769])).
% 4.30/4.51 tff(3197,plain,
% 4.30/4.51 (~m_processor_v_abort(c_p0, s1)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[1828, 3196])).
% 4.30/4.51 tff(3198,assumption,(~m_processor_v_waiting(c_p0, s2)), introduced(assumption)).
% 4.30/4.51 tff(3199,plain,
% 4.30/4.51 (m_processor_v_master(c_p0, s1)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[2088, 1796, 1936, 1833])).
% 4.30/4.51 tff(3200,plain,
% 4.30/4.51 (~m_processor_v_master(c_p1, s1)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[1850, 3199])).
% 4.30/4.51 tff(3201,plain,
% 4.30/4.51 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s1, s2)) | node53(c_p0, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s1, s2)) | node53(c_p0, s1, s2))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3202,plain,
% 4.30/4.51 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s1, s2)) | node53(c_p0, s1, s2))),
% 4.30/4.51 inference(quant_inst,[status(thm)],[])).
% 4.30/4.51 tff(3203,plain,
% 4.30/4.51 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s1, s2)) | node53(c_p0, s1, s2)),
% 4.30/4.51 inference(modus_ponens,[status(thm)],[3202, 3201])).
% 4.30/4.51 tff(3204,plain,
% 4.30/4.51 (node53(c_p0, s1, s2)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3203, 2746, 1808])).
% 4.30/4.51 tff(3205,plain,
% 4.30/4.51 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node53(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node53(c_p0, s1, s2)))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3206,plain,
% 4.30/4.51 ((m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | (~node53(c_p0, s1, s2))) <=> ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node53(c_p0, s1, s2)))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3207,plain,
% 4.30/4.51 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | (~node53(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node53(c_p0, s1, s2))))),
% 4.30/4.51 inference(monotonicity,[status(thm)],[3206])).
% 4.30/4.51 tff(3208,plain,
% 4.30/4.51 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | (~node53(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node53(c_p0, s1, s2)))),
% 4.30/4.51 inference(transitivity,[status(thm)],[3207, 3205])).
% 4.30/4.51 tff(3209,plain,
% 4.30/4.51 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | (~node53(c_p0, s1, s2)))),
% 4.30/4.51 inference(quant_inst,[status(thm)],[])).
% 4.30/4.51 tff(3210,plain,
% 4.30/4.51 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node53(c_p0, s1, s2))),
% 4.30/4.51 inference(modus_ponens,[status(thm)],[3209, 3208])).
% 4.30/4.51 tff(3211,plain,
% 4.30/4.51 ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared))),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3210, 2781, 3204])).
% 4.30/4.51 tff(3212,plain,
% 4.30/4.51 (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3211, 3197, 3199, 3198])).
% 4.30/4.51 tff(3213,assumption,(m_main_v_CMD(s1, c_read_h_shared)), introduced(assumption)).
% 4.30/4.51 tff(3214,plain,
% 4.30/4.51 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)) | (~node2(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)) | (~node2(s1)))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3215,plain,
% 4.30/4.51 (((~m_main_v_CMD(s1, c_read_h_shared)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared)) <=> (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)) | (~node2(s1)))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3216,plain,
% 4.30/4.51 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_read_h_shared)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)) | (~node2(s1))))),
% 4.30/4.51 inference(monotonicity,[status(thm)],[3215])).
% 4.30/4.51 tff(3217,plain,
% 4.30/4.51 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_read_h_shared)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)) | (~node2(s1)))),
% 4.30/4.51 inference(transitivity,[status(thm)],[3216, 3214])).
% 4.30/4.51 tff(3218,plain,
% 4.30/4.51 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_read_h_shared)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared))),
% 4.30/4.51 inference(quant_inst,[status(thm)],[])).
% 4.30/4.51 tff(3219,plain,
% 4.30/4.51 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)) | (~node2(s1))),
% 4.30/4.51 inference(modus_ponens,[status(thm)],[3218, 3217])).
% 4.30/4.51 tff(3220,plain,
% 4.30/4.51 ($false),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3219, 2697, 1993, 2111, 3213])).
% 4.30/4.51 tff(3221,plain,((~m_main_v_CMD(s1, c_read_h_shared)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.51 tff(3222,plain,
% 4.30/4.51 (~m_main_v_CMD(s1, c_read_h_shared)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3221, 3212])).
% 4.30/4.51 tff(3223,plain,
% 4.30/4.51 (~m_processor_v_state(c_p1, s1, c_owned)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[2856, 1508])).
% 4.30/4.51 tff(3224,plain,
% 4.30/4.51 (~node56(c_p1, s1)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[2850, 3223])).
% 4.30/4.51 tff(3225,plain,
% 4.30/4.51 (~m_processor_v_writable(c_p1, s1)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[2843, 3224])).
% 4.30/4.51 tff(3226,plain,
% 4.30/4.51 (~node67(s1)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[2835, 3225])).
% 4.30/4.51 tff(3227,plain,
% 4.30/4.51 (node67(s2)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3145, 3226, 2966, 2952])).
% 4.30/4.51 tff(3228,plain,
% 4.30/4.51 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | ((~node67(s2)) | m_processor_v_writable(c_p1, s2))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s2)) | m_processor_v_writable(c_p1, s2))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3229,plain,
% 4.30/4.51 ((m_processor_v_writable(c_p1, s2) | (~node67(s2))) <=> ((~node67(s2)) | m_processor_v_writable(c_p1, s2))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3230,plain,
% 4.30/4.51 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s2) | (~node67(s2)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | ((~node67(s2)) | m_processor_v_writable(c_p1, s2)))),
% 4.30/4.51 inference(monotonicity,[status(thm)],[3229])).
% 4.30/4.51 tff(3231,plain,
% 4.30/4.51 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s2) | (~node67(s2)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s2)) | m_processor_v_writable(c_p1, s2))),
% 4.30/4.51 inference(transitivity,[status(thm)],[3230, 3228])).
% 4.30/4.51 tff(3232,plain,
% 4.30/4.51 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s2) | (~node67(s2)))),
% 4.30/4.51 inference(quant_inst,[status(thm)],[])).
% 4.30/4.51 tff(3233,plain,
% 4.30/4.51 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s2)) | m_processor_v_writable(c_p1, s2)),
% 4.30/4.51 inference(modus_ponens,[status(thm)],[3232, 3231])).
% 4.30/4.51 tff(3234,plain,
% 4.30/4.51 (m_processor_v_writable(c_p1, s2)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3233, 2827, 3227])).
% 4.30/4.51 tff(3235,assumption,(m_processor_v_writable(c_p1, s2)), introduced(assumption)).
% 4.30/4.51 tff(3236,assumption,(~node56(c_p1, s2)), introduced(assumption)).
% 4.30/4.51 tff(3237,plain,
% 4.30/4.51 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s2)) | node56(c_p1, s2))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s2)) | node56(c_p1, s2))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3238,plain,
% 4.30/4.51 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s2)) | node56(c_p1, s2))),
% 4.30/4.51 inference(quant_inst,[status(thm)],[])).
% 4.30/4.51 tff(3239,plain,
% 4.30/4.51 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s2)) | node56(c_p1, s2)),
% 4.30/4.51 inference(modus_ponens,[status(thm)],[3238, 3237])).
% 4.30/4.51 tff(3240,plain,
% 4.30/4.51 ($false),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3239, 2270, 3236, 3235])).
% 4.30/4.51 tff(3241,plain,((~m_processor_v_writable(c_p1, s2)) | node56(c_p1, s2)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.51 tff(3242,plain,
% 4.30/4.51 (node56(c_p1, s2)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3241, 3234])).
% 4.30/4.51 tff(3243,assumption,(node56(c_p1, s2)), introduced(assumption)).
% 4.30/4.51 tff(3244,plain,
% 4.30/4.51 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s2, c_owned) | (~node56(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p1, s2, c_owned) | (~node56(c_p1, s2)))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3245,plain,
% 4.30/4.51 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s2, c_owned) | (~node56(c_p1, s2)))),
% 4.30/4.51 inference(quant_inst,[status(thm)],[])).
% 4.30/4.51 tff(3246,plain,
% 4.30/4.51 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p1, s2, c_owned) | (~node56(c_p1, s2))),
% 4.30/4.51 inference(modus_ponens,[status(thm)],[3245, 3244])).
% 4.30/4.51 tff(3247,plain,
% 4.30/4.51 ($false),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3246, 2255, 1515, 3243])).
% 4.30/4.51 tff(3248,plain,((~node56(c_p1, s2)) | m_processor_v_state(c_p1, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.51 tff(3249,plain,
% 4.30/4.51 (m_processor_v_state(c_p1, s2, c_owned)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3248, 3242])).
% 4.30/4.51 tff(3250,assumption,(m_processor_v_state(c_p1, s2, c_owned)), introduced(assumption)).
% 4.30/4.51 tff(3251,plain,
% 4.30/4.51 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s1, c_owned) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~node37(c_p1, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s1, c_owned) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~node37(c_p1, s1, s2)))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3252,plain,
% 4.30/4.51 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s1, c_owned) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~node37(c_p1, s1, s2)))),
% 4.30/4.51 inference(quant_inst,[status(thm)],[])).
% 4.30/4.51 tff(3253,plain,
% 4.30/4.51 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s1, c_owned) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~node37(c_p1, s1, s2))),
% 4.30/4.51 inference(modus_ponens,[status(thm)],[3252, 3251])).
% 4.30/4.51 tff(3254,plain,
% 4.30/4.51 ($false),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3253, 1612, 3250, 629, 1855])).
% 4.30/4.51 tff(3255,plain,((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s1, c_owned) | (~node37(c_p1, s1, s2))), inference(lemma,lemma(discharge,[]))).
% 4.30/4.51 tff(3256,plain,
% 4.30/4.51 (~node37(c_p1, s1, s2)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3255, 3249, 3223])).
% 4.30/4.51 tff(3257,plain,
% 4.30/4.51 (m_processor_v_abort(c_p1, s1)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[1882, 3256, 1853, 1852])).
% 4.30/4.51 tff(3258,plain,
% 4.30/4.51 (node32(c_p1, s1, s2)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[1893, 3257])).
% 4.30/4.51 tff(3259,plain,
% 4.30/4.51 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_owned)))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3260,plain,
% 4.30/4.51 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_owned)))),
% 4.30/4.51 inference(quant_inst,[status(thm)],[])).
% 4.30/4.51 tff(3261,plain,
% 4.30/4.51 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_owned))),
% 4.30/4.51 inference(modus_ponens,[status(thm)],[3260, 3259])).
% 4.30/4.51 tff(3262,plain,
% 4.30/4.51 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3261, 228, 3249])).
% 4.30/4.51 tff(3263,plain,
% 4.30/4.51 ($false),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[1900, 28, 3262, 1508, 3258])).
% 4.30/4.51 tff(3264,plain,((~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_master(c_p1, s1) | node67(s4) | node67(s3)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.51 tff(3265,plain,
% 4.30/4.51 (~m_processor_v_state(c_p1, s1, c_invalid)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3264, 2952, 2966, 1853])).
% 4.30/4.51 tff(3266,plain,
% 4.30/4.51 (m_processor_v_master(c_p1, s0)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[142, 3265])).
% 4.30/4.51 tff(3267,plain,
% 4.30/4.51 (~m_processor_v_master(c_p0, s0)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[820, 3266])).
% 4.30/4.51 tff(3268,plain,
% 4.30/4.51 (~m_processor_v_state(c_p0, s1, c_owned)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[1626, 3267])).
% 4.30/4.51 tff(3269,plain,
% 4.30/4.51 (~node56(c_p0, s1)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[2864, 2255, 3268])).
% 4.30/4.51 tff(3270,plain,
% 4.30/4.51 (~m_processor_v_writable(c_p0, s1)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[2870, 2270, 3269])).
% 4.30/4.51 tff(3271,plain,
% 4.30/4.51 (~node67(s1)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[2818, 2285, 3270])).
% 4.30/4.51 tff(3272,plain,
% 4.30/4.51 (node67(s2)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3145, 3271, 2966, 2952])).
% 4.30/4.51 tff(3273,plain,
% 4.30/4.51 (m_processor_v_writable(c_p0, s2)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3155, 2285, 3272])).
% 4.30/4.51 tff(3274,plain,
% 4.30/4.51 (m_processor_v_state(c_p0, s1, c_invalid)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[1564, 3267])).
% 4.30/4.51 tff(3275,plain,
% 4.30/4.51 (~m_processor_v_state(c_p0, s1, c_shared)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[1789, 107, 3274])).
% 4.30/4.51 tff(3276,plain,
% 4.30/4.51 (~m_processor_v_state(c_p0, s2, c_owned)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[1842, 3275, 1791, 3268, 3274])).
% 4.30/4.51 tff(3277,plain,
% 4.30/4.51 (~node56(c_p0, s2)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3172, 3276])).
% 4.30/4.51 tff(3278,plain,
% 4.30/4.51 ($false),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3163, 2270, 3277, 3273])).
% 4.30/4.51 tff(3279,plain,(node67(s3) | node67(s4) | m_processor_v_master(c_p0, s1) | m_processor_v_master(c_p1, s1)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.51 tff(3280,plain,
% 4.30/4.51 (m_processor_v_master(c_p0, s1)),
% 4.30/4.51 inference(unit_resolution,[status(thm)],[3279, 2966, 1853, 2952])).
% 4.30/4.51 tff(3281,assumption,(node17(s1)), introduced(assumption)).
% 4.30/4.51 tff(3282,plain,
% 4.30/4.51 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s1)) | (~node17(s1)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s1)) | (~node17(s1)))),
% 4.30/4.51 inference(rewrite,[status(thm)],[])).
% 4.30/4.51 tff(3283,plain,
% 4.30/4.51 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s1)) | (~node17(s1)))),
% 4.30/4.52 inference(quant_inst,[status(thm)],[])).
% 4.30/4.52 tff(3284,plain,
% 4.30/4.52 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s1)) | (~node17(s1))),
% 4.30/4.52 inference(modus_ponens,[status(thm)],[3283, 3282])).
% 4.30/4.52 tff(3285,plain,
% 4.30/4.52 ($false),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3284, 1572, 1845, 3281])).
% 4.30/4.52 tff(3286,plain,((~m_processor_v_master(c_p0, s1)) | (~node17(s1))), inference(lemma,lemma(discharge,[]))).
% 4.30/4.52 tff(3287,plain,
% 4.30/4.52 (~node17(s1)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3286, 3280])).
% 4.30/4.52 tff(3288,assumption,(m_memory_v_master(c_m, s1)), introduced(assumption)).
% 4.30/4.52 tff(3289,assumption,(~node17(s1)), introduced(assumption)).
% 4.30/4.52 tff(3290,plain,
% 4.30/4.52 (((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s1) | (~m_memory_v_master(c_m, s1)))) <=> ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s1) | (~m_memory_v_master(c_m, s1)))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3291,plain,
% 4.30/4.52 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s1) | (~m_memory_v_master(c_m, s1)))),
% 4.30/4.52 inference(quant_inst,[status(thm)],[])).
% 4.30/4.52 tff(3292,plain,
% 4.30/4.52 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s1) | (~m_memory_v_master(c_m, s1))),
% 4.30/4.52 inference(modus_ponens,[status(thm)],[3291, 3290])).
% 4.30/4.52 tff(3293,plain,
% 4.30/4.52 ($false),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3292, 167, 3289, 3288])).
% 4.30/4.52 tff(3294,plain,((~m_memory_v_master(c_m, s1)) | node17(s1)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.52 tff(3295,plain,
% 4.30/4.52 (~m_memory_v_master(c_m, s1)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3294, 3287])).
% 4.30/4.52 tff(3296,assumption,(~m_memory_v_master(c_m, s1)), introduced(assumption)).
% 4.30/4.52 tff(3297,assumption,(node29(c_m, s1)), introduced(assumption)).
% 4.30/4.52 tff(3298,plain,
% 4.30/4.52 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s1) | (~node29(c_m, s1)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s1) | (~node29(c_m, s1)))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3299,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s1) | (~node29(c_m, s1)))),
% 4.30/4.52 inference(quant_inst,[status(thm)],[])).
% 4.30/4.52 tff(3300,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s1) | (~node29(c_m, s1))),
% 4.30/4.52 inference(modus_ponens,[status(thm)],[3299, 3298])).
% 4.30/4.52 tff(3301,plain,
% 4.30/4.52 ($false),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3300, 1085, 3297, 3296])).
% 4.30/4.52 tff(3302,plain,(m_memory_v_master(c_m, s1) | (~node29(c_m, s1))), inference(lemma,lemma(discharge,[]))).
% 4.30/4.52 tff(3303,plain,
% 4.30/4.52 (~node29(c_m, s1)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3302, 3295])).
% 4.30/4.52 tff(3304,assumption,(~node29(c_m, s1)), introduced(assumption)).
% 4.30/4.52 tff(3305,assumption,(~m_memory_v_cmd(c_m, s1, c_idle)), introduced(assumption)).
% 4.30/4.52 tff(3306,plain,
% 4.30/4.52 (((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s1) | m_memory_v_cmd(c_m, s1, c_idle))) <=> ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s1) | m_memory_v_cmd(c_m, s1, c_idle))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3307,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s1) | m_memory_v_cmd(c_m, s1, c_idle))),
% 4.30/4.52 inference(quant_inst,[status(thm)],[])).
% 4.30/4.52 tff(3308,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s1) | m_memory_v_cmd(c_m, s1, c_idle)),
% 4.30/4.52 inference(modus_ponens,[status(thm)],[3307, 3306])).
% 4.30/4.52 tff(3309,plain,
% 4.30/4.52 ($false),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3308, 948, 3305, 3304])).
% 4.30/4.52 tff(3310,plain,(m_memory_v_cmd(c_m, s1, c_idle) | node29(c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.52 tff(3311,plain,
% 4.30/4.52 (m_memory_v_cmd(c_m, s1, c_idle)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3310, 3303])).
% 4.30/4.52 tff(3312,assumption,(~m_processor_v_cmd(c_p1, s1, c_idle)), introduced(assumption)).
% 4.30/4.52 tff(3313,assumption,(node66(c_p1, s1)), introduced(assumption)).
% 4.30/4.52 tff(3314,plain,
% 4.30/4.52 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node66(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node66(c_p1, s1)))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3315,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node66(c_p1, s1)))),
% 4.30/4.52 inference(quant_inst,[status(thm)],[])).
% 4.30/4.52 tff(3316,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node66(c_p1, s1))),
% 4.30/4.52 inference(modus_ponens,[status(thm)],[3315, 3314])).
% 4.30/4.52 tff(3317,plain,
% 4.30/4.52 ($false),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3316, 801, 1853, 3313])).
% 4.30/4.52 tff(3318,plain,((~node66(c_p1, s1)) | m_processor_v_master(c_p1, s1)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.52 tff(3319,plain,
% 4.30/4.52 (~node66(c_p1, s1)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3318, 1853])).
% 4.30/4.52 tff(3320,assumption,(~node66(c_p1, s1)), introduced(assumption)).
% 4.30/4.52 tff(3321,plain,
% 4.30/4.52 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node65(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node65(c_p1, s1)))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3322,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node65(c_p1, s1)))),
% 4.30/4.52 inference(quant_inst,[status(thm)],[])).
% 4.30/4.52 tff(3323,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node65(c_p1, s1))),
% 4.30/4.52 inference(modus_ponens,[status(thm)],[3322, 3321])).
% 4.30/4.52 tff(3324,plain,
% 4.30/4.52 (~node65(c_p1, s1)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3323, 740, 1853])).
% 4.30/4.52 tff(3325,plain,
% 4.30/4.52 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node64(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node64(c_p1, s1)))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3326,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node64(c_p1, s1)))),
% 4.30/4.52 inference(quant_inst,[status(thm)],[])).
% 4.30/4.52 tff(3327,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node64(c_p1, s1))),
% 4.30/4.52 inference(modus_ponens,[status(thm)],[3326, 3325])).
% 4.30/4.52 tff(3328,plain,
% 4.30/4.52 (~node64(c_p1, s1)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3327, 726, 1853])).
% 4.30/4.52 tff(3329,plain,
% 4.30/4.52 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node63(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node63(c_p1, s1)))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3330,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node63(c_p1, s1)))),
% 4.30/4.52 inference(quant_inst,[status(thm)],[])).
% 4.30/4.52 tff(3331,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node63(c_p1, s1))),
% 4.30/4.52 inference(modus_ponens,[status(thm)],[3330, 3329])).
% 4.30/4.52 tff(3332,plain,
% 4.30/4.52 (~node63(c_p1, s1)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3331, 788, 1853])).
% 4.30/4.52 tff(3333,plain,
% 4.30/4.52 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node62(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node62(c_p1, s1)))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3334,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node62(c_p1, s1)))),
% 4.30/4.52 inference(quant_inst,[status(thm)],[])).
% 4.30/4.52 tff(3335,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node62(c_p1, s1))),
% 4.30/4.52 inference(modus_ponens,[status(thm)],[3334, 3333])).
% 4.30/4.52 tff(3336,plain,
% 4.30/4.52 (~node62(c_p1, s1)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3335, 757, 1853])).
% 4.30/4.52 tff(3337,plain,
% 4.30/4.52 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_idle) | node66(c_p1, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_idle) | node66(c_p1, s1))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3338,plain,
% 4.30/4.52 ((m_processor_v_cmd(c_p1, s1, c_idle) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | node66(c_p1, s1)) <=> (node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_idle) | node66(c_p1, s1))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3339,plain,
% 4.30/4.52 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s1, c_idle) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | node66(c_p1, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_idle) | node66(c_p1, s1)))),
% 4.30/4.52 inference(monotonicity,[status(thm)],[3338])).
% 4.30/4.52 tff(3340,plain,
% 4.30/4.52 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s1, c_idle) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | node66(c_p1, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_idle) | node66(c_p1, s1))),
% 4.30/4.52 inference(transitivity,[status(thm)],[3339, 3337])).
% 4.30/4.52 tff(3341,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s1, c_idle) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | node66(c_p1, s1))),
% 4.30/4.52 inference(quant_inst,[status(thm)],[])).
% 4.30/4.52 tff(3342,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_idle) | node66(c_p1, s1)),
% 4.30/4.52 inference(modus_ponens,[status(thm)],[3341, 3340])).
% 4.30/4.52 tff(3343,plain,
% 4.30/4.52 (node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | node66(c_p1, s1)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3342, 773, 3312])).
% 4.30/4.52 tff(3344,plain,
% 4.30/4.52 ($false),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3343, 3336, 3332, 3328, 3324, 3320])).
% 4.30/4.52 tff(3345,plain,(node66(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_idle) | m_processor_v_master(c_p1, s1)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.52 tff(3346,plain,
% 4.30/4.52 ($false),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3345, 3319, 1853, 3312])).
% 4.30/4.52 tff(3347,plain,(m_processor_v_master(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_idle)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.52 tff(3348,plain,
% 4.30/4.52 (m_processor_v_cmd(c_p1, s1, c_idle)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3347, 1853])).
% 4.30/4.52 tff(3349,plain,
% 4.30/4.52 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s1)) | (~m_processor_v_master(c_p0, s1)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s1)) | (~m_processor_v_master(c_p0, s1)))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3350,plain,
% 4.30/4.52 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s1)) | (~m_processor_v_master(c_p0, s1)))),
% 4.30/4.52 inference(quant_inst,[status(thm)],[])).
% 4.30/4.52 tff(3351,plain,
% 4.30/4.52 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s1)) | (~m_processor_v_master(c_p0, s1))),
% 4.30/4.52 inference(modus_ponens,[status(thm)],[3350, 3349])).
% 4.30/4.52 tff(3352,plain,
% 4.30/4.52 (~node16(s1)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3351, 2472, 3280])).
% 4.30/4.52 tff(3353,assumption,(~node16(s1)), introduced(assumption)).
% 4.30/4.52 tff(3354,assumption,(m_processor_v_master(c_p2, s1)), introduced(assumption)).
% 4.30/4.52 tff(3355,plain,
% 4.30/4.52 (((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s1) | (~m_processor_v_master(c_p2, s1)))) <=> ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s1) | (~m_processor_v_master(c_p2, s1)))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3356,plain,
% 4.30/4.52 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s1) | (~m_processor_v_master(c_p2, s1)))),
% 4.30/4.52 inference(quant_inst,[status(thm)],[])).
% 4.30/4.52 tff(3357,plain,
% 4.30/4.52 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s1) | (~m_processor_v_master(c_p2, s1))),
% 4.30/4.52 inference(modus_ponens,[status(thm)],[3356, 3355])).
% 4.30/4.52 tff(3358,plain,
% 4.30/4.52 ($false),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3357, 710, 3354, 3353])).
% 4.30/4.52 tff(3359,plain,(node16(s1) | (~m_processor_v_master(c_p2, s1))), inference(lemma,lemma(discharge,[]))).
% 4.30/4.52 tff(3360,plain,
% 4.30/4.52 (~m_processor_v_master(c_p2, s1)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3359, 3352])).
% 4.30/4.52 tff(3361,assumption,(~m_processor_v_master(c_p2, s1)), introduced(assumption)).
% 4.30/4.52 tff(3362,assumption,(~m_processor_v_cmd(c_p2, s1, c_idle)), introduced(assumption)).
% 4.30/4.52 tff(3363,plain,
% 4.30/4.52 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s1) | (~node62(c_p2, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s1) | (~node62(c_p2, s1)))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3364,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s1) | (~node62(c_p2, s1)))),
% 4.30/4.52 inference(quant_inst,[status(thm)],[])).
% 4.30/4.52 tff(3365,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s1) | (~node62(c_p2, s1))),
% 4.30/4.52 inference(modus_ponens,[status(thm)],[3364, 3363])).
% 4.30/4.52 tff(3366,plain,
% 4.30/4.52 (~node62(c_p2, s1)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3365, 757, 3361])).
% 4.30/4.52 tff(3367,assumption,(node64(c_p2, s1)), introduced(assumption)).
% 4.30/4.52 tff(3368,plain,
% 4.30/4.52 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s1) | (~node64(c_p2, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s1) | (~node64(c_p2, s1)))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3369,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s1) | (~node64(c_p2, s1)))),
% 4.30/4.52 inference(quant_inst,[status(thm)],[])).
% 4.30/4.52 tff(3370,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s1) | (~node64(c_p2, s1))),
% 4.30/4.52 inference(modus_ponens,[status(thm)],[3369, 3368])).
% 4.30/4.52 tff(3371,plain,
% 4.30/4.52 ($false),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3370, 726, 3367, 3361])).
% 4.30/4.52 tff(3372,plain,((~node64(c_p2, s1)) | m_processor_v_master(c_p2, s1)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.52 tff(3373,plain,
% 4.30/4.52 (~node64(c_p2, s1)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3372, 3361])).
% 4.30/4.52 tff(3374,plain,
% 4.30/4.52 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s1) | (~node66(c_p2, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s1) | (~node66(c_p2, s1)))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3375,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s1) | (~node66(c_p2, s1)))),
% 4.30/4.52 inference(quant_inst,[status(thm)],[])).
% 4.30/4.52 tff(3376,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s1) | (~node66(c_p2, s1))),
% 4.30/4.52 inference(modus_ponens,[status(thm)],[3375, 3374])).
% 4.30/4.52 tff(3377,plain,
% 4.30/4.52 (~node66(c_p2, s1)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3376, 801, 3361])).
% 4.30/4.52 tff(3378,plain,
% 4.30/4.52 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s1) | (~node65(c_p2, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s1) | (~node65(c_p2, s1)))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3379,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s1) | (~node65(c_p2, s1)))),
% 4.30/4.52 inference(quant_inst,[status(thm)],[])).
% 4.30/4.52 tff(3380,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s1) | (~node65(c_p2, s1))),
% 4.30/4.52 inference(modus_ponens,[status(thm)],[3379, 3378])).
% 4.30/4.52 tff(3381,plain,
% 4.30/4.52 (~node65(c_p2, s1)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3380, 740, 3361])).
% 4.30/4.52 tff(3382,assumption,(~node62(c_p2, s1)), introduced(assumption)).
% 4.30/4.52 tff(3383,assumption,(~node66(c_p2, s1)), introduced(assumption)).
% 4.30/4.52 tff(3384,assumption,(~node65(c_p2, s1)), introduced(assumption)).
% 4.30/4.52 tff(3385,assumption,(~node64(c_p2, s1)), introduced(assumption)).
% 4.30/4.52 tff(3386,plain,
% 4.30/4.52 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s1) | (~node63(c_p2, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s1) | (~node63(c_p2, s1)))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3387,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s1) | (~node63(c_p2, s1)))),
% 4.30/4.52 inference(quant_inst,[status(thm)],[])).
% 4.30/4.52 tff(3388,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s1) | (~node63(c_p2, s1))),
% 4.30/4.52 inference(modus_ponens,[status(thm)],[3387, 3386])).
% 4.30/4.52 tff(3389,plain,
% 4.30/4.52 (~node63(c_p2, s1)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3388, 788, 3361])).
% 4.30/4.52 tff(3390,plain,
% 4.30/4.52 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s1, c_idle) | node66(c_p2, s1) | node65(c_p2, s1) | node64(c_p2, s1) | node63(c_p2, s1) | node62(c_p2, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s1, c_idle) | node66(c_p2, s1) | node65(c_p2, s1) | node64(c_p2, s1) | node63(c_p2, s1) | node62(c_p2, s1))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3391,plain,
% 4.30/4.52 ((m_processor_v_cmd(c_p2, s1, c_idle) | node62(c_p2, s1) | node63(c_p2, s1) | node64(c_p2, s1) | node65(c_p2, s1) | node66(c_p2, s1)) <=> (m_processor_v_cmd(c_p2, s1, c_idle) | node66(c_p2, s1) | node65(c_p2, s1) | node64(c_p2, s1) | node63(c_p2, s1) | node62(c_p2, s1))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3392,plain,
% 4.30/4.52 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s1, c_idle) | node62(c_p2, s1) | node63(c_p2, s1) | node64(c_p2, s1) | node65(c_p2, s1) | node66(c_p2, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s1, c_idle) | node66(c_p2, s1) | node65(c_p2, s1) | node64(c_p2, s1) | node63(c_p2, s1) | node62(c_p2, s1)))),
% 4.30/4.52 inference(monotonicity,[status(thm)],[3391])).
% 4.30/4.52 tff(3393,plain,
% 4.30/4.52 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s1, c_idle) | node62(c_p2, s1) | node63(c_p2, s1) | node64(c_p2, s1) | node65(c_p2, s1) | node66(c_p2, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s1, c_idle) | node66(c_p2, s1) | node65(c_p2, s1) | node64(c_p2, s1) | node63(c_p2, s1) | node62(c_p2, s1))),
% 4.30/4.52 inference(transitivity,[status(thm)],[3392, 3390])).
% 4.30/4.52 tff(3394,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s1, c_idle) | node62(c_p2, s1) | node63(c_p2, s1) | node64(c_p2, s1) | node65(c_p2, s1) | node66(c_p2, s1))),
% 4.30/4.52 inference(quant_inst,[status(thm)],[])).
% 4.30/4.52 tff(3395,plain,
% 4.30/4.52 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s1, c_idle) | node66(c_p2, s1) | node65(c_p2, s1) | node64(c_p2, s1) | node63(c_p2, s1) | node62(c_p2, s1)),
% 4.30/4.52 inference(modus_ponens,[status(thm)],[3394, 3393])).
% 4.30/4.52 tff(3396,plain,
% 4.30/4.52 (node66(c_p2, s1) | node65(c_p2, s1) | node64(c_p2, s1) | node63(c_p2, s1) | node62(c_p2, s1)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3395, 773, 3362])).
% 4.30/4.52 tff(3397,plain,
% 4.30/4.52 ($false),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3396, 3389, 3385, 3384, 3383, 3382])).
% 4.30/4.52 tff(3398,plain,(node64(c_p2, s1) | node65(c_p2, s1) | node66(c_p2, s1) | node62(c_p2, s1) | m_processor_v_cmd(c_p2, s1, c_idle) | m_processor_v_master(c_p2, s1)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.52 tff(3399,plain,
% 4.30/4.52 ($false),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3398, 3381, 3377, 3373, 3366, 3362, 3361])).
% 4.30/4.52 tff(3400,plain,(m_processor_v_master(c_p2, s1) | m_processor_v_cmd(c_p2, s1, c_idle)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.52 tff(3401,plain,
% 4.30/4.52 (m_processor_v_cmd(c_p2, s1, c_idle)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3400, 3360])).
% 4.30/4.52 tff(3402,assumption,(m_memory_v_cmd(c_m, s1, c_idle)), introduced(assumption)).
% 4.30/4.52 tff(3403,assumption,(m_processor_v_cmd(c_p2, s1, c_idle)), introduced(assumption)).
% 4.30/4.52 tff(3404,assumption,(m_processor_v_cmd(c_p1, s1, c_idle)), introduced(assumption)).
% 4.30/4.52 tff(3405,assumption,(~node8(s1)), introduced(assumption)).
% 4.30/4.52 tff(3406,plain,
% 4.30/4.52 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node8(s1))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node8(s1))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3407,plain,
% 4.30/4.52 ((node8(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle))) <=> ((~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node8(s1))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3408,plain,
% 4.30/4.52 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node8(s1)))),
% 4.30/4.52 inference(monotonicity,[status(thm)],[3407])).
% 4.30/4.52 tff(3409,plain,
% 4.30/4.52 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node8(s1))),
% 4.30/4.52 inference(transitivity,[status(thm)],[3408, 3406])).
% 4.30/4.52 tff(3410,plain,
% 4.30/4.52 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)))),
% 4.30/4.52 inference(quant_inst,[status(thm)],[])).
% 4.30/4.52 tff(3411,plain,
% 4.30/4.52 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node8(s1)),
% 4.30/4.52 inference(modus_ponens,[status(thm)],[3410, 3409])).
% 4.30/4.52 tff(3412,plain,
% 4.30/4.52 ($false),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3411, 1130, 3405, 3404, 3403, 3402])).
% 4.30/4.52 tff(3413,plain,(node8(s1) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle))), inference(lemma,lemma(discharge,[]))).
% 4.30/4.52 tff(3414,plain,
% 4.30/4.52 (node8(s1)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3413, 3401, 3348, 3311])).
% 4.30/4.52 tff(3415,assumption,(m_processor_v_cmd(c_p0, s1, c_read_h_owned)), introduced(assumption)).
% 4.30/4.52 tff(3416,assumption,(node8(s1)), introduced(assumption)).
% 4.30/4.52 tff(3417,plain,
% 4.30/4.52 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s1, c_read_h_owned) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3418,plain,
% 4.30/4.52 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)))),
% 4.30/4.52 inference(quant_inst,[status(thm)],[])).
% 4.30/4.52 tff(3419,plain,
% 4.30/4.52 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s1, c_read_h_owned) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned))),
% 4.30/4.52 inference(modus_ponens,[status(thm)],[3418, 3417])).
% 4.30/4.52 tff(3420,plain,
% 4.30/4.52 ($false),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3419, 2716, 3416, 1988, 3415])).
% 4.30/4.52 tff(3421,plain,((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~node8(s1)) | m_main_v_CMD(s1, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.52 tff(3422,plain,
% 4.30/4.52 (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)),
% 4.30/4.52 inference(unit_resolution,[status(thm)],[3421, 3414, 1988])).
% 4.30/4.52 tff(3423,assumption,(~m_main_v_CMD(s1, c_read_h_shared)), introduced(assumption)).
% 4.30/4.52 tff(3424,assumption,(m_processor_v_cmd(c_p0, s1, c_read_h_shared)), introduced(assumption)).
% 4.30/4.52 tff(3425,plain,
% 4.30/4.52 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s1, c_read_h_shared) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)))),
% 4.30/4.52 inference(rewrite,[status(thm)],[])).
% 4.30/4.52 tff(3426,plain,
% 4.30/4.52 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)))),
% 4.30/4.53 inference(quant_inst,[status(thm)],[])).
% 4.30/4.53 tff(3427,plain,
% 4.30/4.53 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s1, c_read_h_shared) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared))),
% 4.30/4.53 inference(modus_ponens,[status(thm)],[3426, 3425])).
% 4.30/4.53 tff(3428,plain,
% 4.30/4.53 ($false),
% 4.30/4.53 inference(unit_resolution,[status(thm)],[3427, 2716, 3416, 3423, 3424])).
% 4.30/4.53 tff(3429,plain,((~m_processor_v_cmd(c_p0, s1, c_read_h_shared)) | (~node8(s1)) | m_main_v_CMD(s1, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.53 tff(3430,plain,
% 4.30/4.53 (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)),
% 4.30/4.53 inference(unit_resolution,[status(thm)],[3429, 3414, 3423])).
% 4.30/4.53 tff(3431,plain,
% 4.30/4.53 (~m_processor_v_state(c_p1, s1, c_invalid)),
% 4.30/4.53 inference(unit_resolution,[status(thm)],[3264, 2966, 2952, 1853])).
% 4.30/4.53 tff(3432,plain,
% 4.30/4.53 (m_processor_v_master(c_p1, s0)),
% 4.30/4.53 inference(unit_resolution,[status(thm)],[142, 3431])).
% 4.30/4.53 tff(3433,plain,
% 4.30/4.53 (~m_processor_v_master(c_p0, s0)),
% 4.30/4.53 inference(unit_resolution,[status(thm)],[820, 3432])).
% 4.30/4.53 tff(3434,plain,
% 4.30/4.53 (m_processor_v_state(c_p0, s1, c_invalid)),
% 4.30/4.53 inference(unit_resolution,[status(thm)],[1564, 3433])).
% 4.30/4.53 tff(3435,plain,
% 4.30/4.53 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s1)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared))),
% 4.30/4.53 inference(rewrite,[status(thm)],[])).
% 4.30/4.53 tff(3436,plain,
% 4.30/4.53 ((m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_master(c_p0, s1))) <=> ((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared))),
% 4.30/4.53 inference(rewrite,[status(thm)],[])).
% 4.30/4.53 tff(3437,plain,
% 4.30/4.53 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_master(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared)))),
% 4.30/4.53 inference(monotonicity,[status(thm)],[3436])).
% 4.30/4.53 tff(3438,plain,
% 4.30/4.53 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_master(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s1)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared))),
% 4.30/4.53 inference(transitivity,[status(thm)],[3437, 3435])).
% 4.30/4.53 tff(3439,plain,
% 4.30/4.53 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_master(c_p0, s1)))),
% 4.30/4.53 inference(quant_inst,[status(thm)],[])).
% 4.30/4.53 tff(3440,plain,
% 4.30/4.53 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s1)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared)),
% 4.30/4.53 inference(modus_ponens,[status(thm)],[3439, 3438])).
% 4.30/4.53 tff(3441,plain,
% 4.30/4.53 (m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared)),
% 4.30/4.53 inference(unit_resolution,[status(thm)],[3440, 1029, 3280, 3434])).
% 4.30/4.53 tff(3442,plain,
% 4.30/4.53 ($false),
% 4.30/4.53 inference(unit_resolution,[status(thm)],[3441, 3430, 3422])).
% 4.30/4.53 tff(3443,plain,(node67(s4) | m_main_v_CMD(s1, c_read_h_shared) | m_main_v_CMD(s1, c_read_h_owned) | node67(s3) | m_processor_v_master(c_p1, s1)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.53 tff(3444,plain,
% 4.30/4.53 (m_main_v_CMD(s1, c_read_h_owned)),
% 4.30/4.53 inference(unit_resolution,[status(thm)],[3443, 3222, 2966, 2952, 3200])).
% 4.30/4.53 tff(3445,plain,
% 4.30/4.53 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~node2(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~node2(s1)))),
% 4.30/4.53 inference(rewrite,[status(thm)],[])).
% 4.30/4.53 tff(3446,plain,
% 4.30/4.53 (((~m_main_v_CMD(s1, c_read_h_owned)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~node2(s1)))),
% 4.30/4.53 inference(rewrite,[status(thm)],[])).
% 4.30/4.53 tff(3447,plain,
% 4.30/4.53 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~node2(s1))))),
% 4.30/4.53 inference(monotonicity,[status(thm)],[3446])).
% 4.30/4.53 tff(3448,plain,
% 4.30/4.53 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~node2(s1)))),
% 4.30/4.53 inference(transitivity,[status(thm)],[3447, 3445])).
% 4.30/4.53 tff(3449,plain,
% 4.30/4.53 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_owned))),
% 4.30/4.53 inference(quant_inst,[status(thm)],[])).
% 4.30/4.53 tff(3450,plain,
% 4.30/4.53 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~node2(s1))),
% 4.30/4.53 inference(modus_ponens,[status(thm)],[3449, 3448])).
% 4.30/4.53 tff(3451,plain,
% 4.30/4.53 ($false),
% 4.30/4.53 inference(unit_resolution,[status(thm)],[3450, 2697, 1993, 2090, 1974])).
% 4.30/4.53 tff(3452,plain,((~m_main_v_CMD(s1, c_read_h_owned)) | m_processor_v_CMD(c_p0, s1, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 4.30/4.53 tff(3453,plain,
% 4.30/4.53 (m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 4.30/4.53 inference(unit_resolution,[status(thm)],[3452, 3444])).
% 4.30/4.53 tff(3454,plain,
% 4.30/4.53 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | node47(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node53(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | node47(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node53(c_p0, s1, s2)))),
% 4.30/4.53 inference(rewrite,[status(thm)],[])).
% 4.30/4.53 tff(3455,plain,
% 4.30/4.53 ((m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | node47(c_p0, s1) | (~node53(c_p0, s1, s2))) <=> ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | node47(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node53(c_p0, s1, s2)))),
% 4.30/4.53 inference(rewrite,[status(thm)],[])).
% 4.30/4.53 tff(3456,plain,
% 4.30/4.53 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | node47(c_p0, s1) | (~node53(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | node47(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node53(c_p0, s1, s2))))),
% 4.30/4.53 inference(monotonicity,[status(thm)],[3455])).
% 4.30/4.53 tff(3457,plain,
% 4.30/4.53 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | node47(c_p0, s1) | (~node53(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | node47(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node53(c_p0, s1, s2)))),
% 4.30/4.53 inference(transitivity,[status(thm)],[3456, 3454])).
% 4.30/4.53 tff(3458,plain,
% 4.30/4.53 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | node47(c_p0, s1) | (~node53(c_p0, s1, s2)))),
% 4.30/4.53 inference(quant_inst,[status(thm)],[])).
% 4.30/4.53 tff(3459,plain,
% 4.30/4.53 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | node47(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node53(c_p0, s1, s2))),
% 4.30/4.53 inference(modus_ponens,[status(thm)],[3458, 3457])).
% 4.37/4.53 tff(3460,plain,
% 4.37/4.53 ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | node47(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned))),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3459, 2763, 3204])).
% 4.37/4.53 tff(3461,plain,
% 4.37/4.53 (node47(c_p0, s1)),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3460, 3453, 3199, 3198, 3197])).
% 4.37/4.53 tff(3462,plain,
% 4.37/4.53 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node47(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node47(c_p0, s1)))),
% 4.37/4.53 inference(rewrite,[status(thm)],[])).
% 4.37/4.53 tff(3463,plain,
% 4.37/4.53 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node47(c_p0, s1)))),
% 4.37/4.53 inference(quant_inst,[status(thm)],[])).
% 4.37/4.53 tff(3464,plain,
% 4.37/4.53 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node47(c_p0, s1))),
% 4.37/4.53 inference(modus_ponens,[status(thm)],[3463, 3462])).
% 4.37/4.53 tff(3465,plain,
% 4.37/4.53 ($false),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3464, 2796, 3212, 3461])).
% 4.37/4.53 tff(3466,plain,(m_processor_v_state(c_p0, s1, c_owned) | m_processor_v_waiting(c_p0, s2) | node67(s4) | node67(s3) | (~m_processor_v_state(c_p0, s2, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.37/4.53 tff(3467,plain,
% 4.37/4.53 (m_processor_v_state(c_p0, s1, c_owned)),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3466, 3177, 2814, 2291, 3173])).
% 4.37/4.53 tff(3468,plain,
% 4.37/4.53 (m_processor_v_master(c_p0, s0)),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[1626, 3467])).
% 4.37/4.53 tff(3469,plain,
% 4.37/4.53 (~m_processor_v_master(c_p1, s0)),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[820, 3468])).
% 4.37/4.53 tff(3470,plain,
% 4.37/4.53 (m_processor_v_state(c_p1, s1, c_invalid)),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[142, 3469])).
% 4.37/4.53 tff(3471,plain,
% 4.37/4.53 (m_processor_v_master(c_p1, s1)),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3264, 3470, 2814, 2291])).
% 4.37/4.53 tff(3472,plain,
% 4.37/4.53 (m_processor_v_writable(c_p1, s2)),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3233, 2827, 3147])).
% 4.37/4.53 tff(3473,plain,
% 4.37/4.53 (node56(c_p1, s2)),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3241, 3472])).
% 4.37/4.53 tff(3474,plain,
% 4.37/4.53 (m_processor_v_state(c_p1, s2, c_owned)),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3248, 3473])).
% 4.37/4.53 tff(3475,assumption,(m_processor_v_state(c_p1, s2, c_invalid)), introduced(assumption)).
% 4.37/4.53 tff(3476,plain,
% 4.37/4.53 ($false),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3261, 228, 3250, 3475])).
% 4.37/4.53 tff(3477,plain,((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_state(c_p1, s2, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 4.37/4.53 tff(3478,plain,
% 4.37/4.53 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3477, 3474])).
% 4.37/4.53 tff(3479,plain,
% 4.37/4.53 (~node32(c_p1, s1, s2)),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[1927, 3470, 3478])).
% 4.37/4.53 tff(3480,plain,
% 4.37/4.53 (~m_processor_v_abort(c_p1, s1)),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[1893, 3479])).
% 4.37/4.53 tff(3481,plain,
% 4.37/4.53 (((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p1, s2)) | (~node56(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p1, s2)) | (~node56(c_p1, s2)))),
% 4.37/4.53 inference(rewrite,[status(thm)],[])).
% 4.37/4.53 tff(3482,plain,
% 4.37/4.53 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p1, s2)) | (~node56(c_p1, s2)))),
% 4.37/4.53 inference(quant_inst,[status(thm)],[])).
% 4.37/4.53 tff(3483,plain,
% 4.37/4.53 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p1, s2)) | (~node56(c_p1, s2))),
% 4.37/4.53 inference(modus_ponens,[status(thm)],[3482, 3481])).
% 4.37/4.53 tff(3484,plain,
% 4.37/4.53 (~m_processor_v_waiting(c_p1, s2)),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3483, 2734, 3473])).
% 4.37/4.53 tff(3485,plain,
% 4.37/4.53 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s1, s2)) | node53(c_p1, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s1, s2)) | node53(c_p1, s1, s2))),
% 4.37/4.53 inference(rewrite,[status(thm)],[])).
% 4.37/4.53 tff(3486,plain,
% 4.37/4.53 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s1, s2)) | node53(c_p1, s1, s2))),
% 4.37/4.53 inference(quant_inst,[status(thm)],[])).
% 4.37/4.53 tff(3487,plain,
% 4.37/4.53 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s1, s2)) | node53(c_p1, s1, s2)),
% 4.37/4.53 inference(modus_ponens,[status(thm)],[3486, 3485])).
% 4.37/4.53 tff(3488,plain,
% 4.37/4.53 (node53(c_p1, s1, s2)),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3487, 2746, 1808])).
% 4.37/4.53 tff(3489,plain,
% 4.37/4.53 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s1)) | m_processor_v_waiting(c_p1, s2) | m_processor_v_abort(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node53(c_p1, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_waiting(c_p1, s2) | m_processor_v_abort(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node53(c_p1, s1, s2)))),
% 4.37/4.53 inference(rewrite,[status(thm)],[])).
% 4.37/4.53 tff(3490,plain,
% 4.37/4.53 ((m_processor_v_waiting(c_p1, s2) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_abort(c_p1, s1) | (~node53(c_p1, s1, s2))) <=> ((~m_processor_v_master(c_p1, s1)) | m_processor_v_waiting(c_p1, s2) | m_processor_v_abort(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node53(c_p1, s1, s2)))),
% 4.37/4.53 inference(rewrite,[status(thm)],[])).
% 4.37/4.53 tff(3491,plain,
% 4.37/4.53 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s2) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_abort(c_p1, s1) | (~node53(c_p1, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s1)) | m_processor_v_waiting(c_p1, s2) | m_processor_v_abort(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node53(c_p1, s1, s2))))),
% 4.37/4.53 inference(monotonicity,[status(thm)],[3490])).
% 4.37/4.53 tff(3492,plain,
% 4.37/4.53 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s2) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_abort(c_p1, s1) | (~node53(c_p1, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_waiting(c_p1, s2) | m_processor_v_abort(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node53(c_p1, s1, s2)))),
% 4.37/4.53 inference(transitivity,[status(thm)],[3491, 3489])).
% 4.37/4.53 tff(3493,plain,
% 4.37/4.53 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s2) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_abort(c_p1, s1) | (~node53(c_p1, s1, s2)))),
% 4.37/4.53 inference(quant_inst,[status(thm)],[])).
% 4.37/4.53 tff(3494,plain,
% 4.37/4.53 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_waiting(c_p1, s2) | m_processor_v_abort(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node53(c_p1, s1, s2))),
% 4.37/4.53 inference(modus_ponens,[status(thm)],[3493, 3492])).
% 4.37/4.53 tff(3495,plain,
% 4.37/4.53 ((~m_processor_v_master(c_p1, s1)) | m_processor_v_waiting(c_p1, s2) | m_processor_v_abort(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared))),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3494, 2781, 3488])).
% 4.37/4.53 tff(3496,plain,
% 4.37/4.53 (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3495, 3471, 3484, 3480])).
% 4.37/4.53 tff(3497,assumption,(node47(c_p1, s1)), introduced(assumption)).
% 4.37/4.53 tff(3498,assumption,(~m_processor_v_CMD(c_p1, s1, c_read_h_shared)), introduced(assumption)).
% 4.37/4.53 tff(3499,plain,
% 4.37/4.53 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | ((~node47(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (~node47(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared))),
% 4.37/4.53 inference(rewrite,[status(thm)],[])).
% 4.37/4.53 tff(3500,plain,
% 4.37/4.53 ((m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node47(c_p1, s1))) <=> ((~node47(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared))),
% 4.37/4.53 inference(rewrite,[status(thm)],[])).
% 4.37/4.53 tff(3501,plain,
% 4.37/4.53 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node47(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | ((~node47(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared)))),
% 4.37/4.53 inference(monotonicity,[status(thm)],[3500])).
% 4.37/4.53 tff(3502,plain,
% 4.37/4.53 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node47(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (~node47(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared))),
% 4.37/4.53 inference(transitivity,[status(thm)],[3501, 3499])).
% 4.37/4.53 tff(3503,plain,
% 4.37/4.53 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node47(c_p1, s1)))),
% 4.37/4.53 inference(quant_inst,[status(thm)],[])).
% 4.37/4.53 tff(3504,plain,
% 4.37/4.53 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (~node47(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared)),
% 4.37/4.53 inference(modus_ponens,[status(thm)],[3503, 3502])).
% 4.37/4.53 tff(3505,plain,
% 4.37/4.53 ($false),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3504, 2796, 3498, 3497])).
% 4.37/4.53 tff(3506,plain,((~node47(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.37/4.53 tff(3507,plain,
% 4.37/4.53 (~node47(c_p1, s1)),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3506, 3496])).
% 4.37/4.53 tff(3508,plain,
% 4.37/4.53 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s1)) | node47(c_p1, s1) | m_processor_v_waiting(c_p1, s2) | m_processor_v_abort(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node53(c_p1, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s1)) | node47(c_p1, s1) | m_processor_v_waiting(c_p1, s2) | m_processor_v_abort(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node53(c_p1, s1, s2)))),
% 4.37/4.53 inference(rewrite,[status(thm)],[])).
% 4.37/4.53 tff(3509,plain,
% 4.37/4.53 ((m_processor_v_waiting(c_p1, s2) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_abort(c_p1, s1) | node47(c_p1, s1) | (~node53(c_p1, s1, s2))) <=> ((~m_processor_v_master(c_p1, s1)) | node47(c_p1, s1) | m_processor_v_waiting(c_p1, s2) | m_processor_v_abort(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node53(c_p1, s1, s2)))),
% 4.37/4.53 inference(rewrite,[status(thm)],[])).
% 4.37/4.53 tff(3510,plain,
% 4.37/4.53 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s2) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_abort(c_p1, s1) | node47(c_p1, s1) | (~node53(c_p1, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s1)) | node47(c_p1, s1) | m_processor_v_waiting(c_p1, s2) | m_processor_v_abort(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node53(c_p1, s1, s2))))),
% 4.37/4.53 inference(monotonicity,[status(thm)],[3509])).
% 4.37/4.53 tff(3511,plain,
% 4.37/4.53 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s2) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_abort(c_p1, s1) | node47(c_p1, s1) | (~node53(c_p1, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s1)) | node47(c_p1, s1) | m_processor_v_waiting(c_p1, s2) | m_processor_v_abort(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node53(c_p1, s1, s2)))),
% 4.37/4.53 inference(transitivity,[status(thm)],[3510, 3508])).
% 4.37/4.53 tff(3512,plain,
% 4.37/4.53 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s2) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_abort(c_p1, s1) | node47(c_p1, s1) | (~node53(c_p1, s1, s2)))),
% 4.37/4.53 inference(quant_inst,[status(thm)],[])).
% 4.37/4.53 tff(3513,plain,
% 4.37/4.53 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s1)) | node47(c_p1, s1) | m_processor_v_waiting(c_p1, s2) | m_processor_v_abort(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node53(c_p1, s1, s2))),
% 4.37/4.53 inference(modus_ponens,[status(thm)],[3512, 3511])).
% 4.37/4.53 tff(3514,plain,
% 4.37/4.53 ((~m_processor_v_master(c_p1, s1)) | node47(c_p1, s1) | m_processor_v_waiting(c_p1, s2) | m_processor_v_abort(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned))),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3513, 2763, 3488])).
% 4.37/4.53 tff(3515,plain,
% 4.37/4.53 (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3514, 3507, 3484, 3480, 3471])).
% 4.37/4.53 tff(3516,plain,
% 4.37/4.53 (~m_processor_v_state(c_p1, s1, c_owned)),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[2856, 3470])).
% 4.37/4.53 tff(3517,plain,
% 4.37/4.53 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_read_h_shared)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node3(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s1, c_read_h_shared)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node3(s1)))),
% 4.37/4.53 inference(rewrite,[status(thm)],[])).
% 4.37/4.53 tff(3518,plain,
% 4.37/4.53 (((~m_main_v_CMD(s1, c_read_h_shared)) | (~node3(s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared)) <=> ((~m_main_v_CMD(s1, c_read_h_shared)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node3(s1)))),
% 4.37/4.53 inference(rewrite,[status(thm)],[])).
% 4.37/4.53 tff(3519,plain,
% 4.37/4.53 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_read_h_shared)) | (~node3(s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_read_h_shared)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node3(s1))))),
% 4.37/4.53 inference(monotonicity,[status(thm)],[3518])).
% 4.37/4.53 tff(3520,plain,
% 4.37/4.53 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_read_h_shared)) | (~node3(s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s1, c_read_h_shared)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node3(s1)))),
% 4.37/4.53 inference(transitivity,[status(thm)],[3519, 3517])).
% 4.37/4.53 tff(3521,plain,
% 4.37/4.53 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_read_h_shared)) | (~node3(s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared))),
% 4.37/4.53 inference(quant_inst,[status(thm)],[])).
% 4.37/4.53 tff(3522,plain,
% 4.37/4.53 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s1, c_read_h_shared)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node3(s1))),
% 4.37/4.53 inference(modus_ponens,[status(thm)],[3521, 3520])).
% 4.37/4.53 tff(3523,plain,
% 4.37/4.53 ($false),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3522, 901, 1978, 3213, 3498])).
% 4.37/4.53 tff(3524,plain,((~m_main_v_CMD(s1, c_read_h_shared)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.37/4.53 tff(3525,plain,
% 4.37/4.53 (~m_main_v_CMD(s1, c_read_h_shared)),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3524, 3496])).
% 4.37/4.53 tff(3526,plain,
% 4.37/4.53 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)))),
% 4.37/4.53 inference(rewrite,[status(thm)],[])).
% 4.37/4.53 tff(3527,plain,
% 4.37/4.53 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)))),
% 4.37/4.53 inference(quant_inst,[status(thm)],[])).
% 4.37/4.53 tff(3528,plain,
% 4.37/4.53 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned))),
% 4.37/4.53 inference(modus_ponens,[status(thm)],[3527, 3526])).
% 4.37/4.53 tff(3529,plain,
% 4.37/4.53 (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)),
% 4.37/4.53 inference(unit_resolution,[status(thm)],[3528, 963, 3404])).
% 4.37/4.53 tff(3530,plain,
% 4.37/4.53 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)))),
% 4.37/4.53 inference(rewrite,[status(thm)],[])).
% 4.37/4.53 tff(3531,plain,
% 4.37/4.53 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)))),
% 4.37/4.53 inference(quant_inst,[status(thm)],[])).
% 4.37/4.53 tff(3532,plain,
% 4.37/4.53 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared))),
% 4.37/4.54 inference(modus_ponens,[status(thm)],[3531, 3530])).
% 4.37/4.54 tff(3533,plain,
% 4.37/4.54 (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3532, 1292, 3404])).
% 4.37/4.54 tff(3534,assumption,(~m_processor_v_cmd(c_p1, s1, c_read_h_owned)), introduced(assumption)).
% 4.37/4.54 tff(3535,assumption,(~m_processor_v_cmd(c_p1, s1, c_read_h_shared)), introduced(assumption)).
% 4.37/4.54 tff(3536,plain,
% 4.37/4.54 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p1, s1)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s1)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3537,plain,
% 4.37/4.54 ((m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared) | (~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_master(c_p1, s1))) <=> ((~m_processor_v_master(c_p1, s1)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3538,plain,
% 4.37/4.54 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared) | (~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_master(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p1, s1)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared)))),
% 4.37/4.54 inference(monotonicity,[status(thm)],[3537])).
% 4.37/4.54 tff(3539,plain,
% 4.37/4.54 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared) | (~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_master(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s1)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared))),
% 4.37/4.54 inference(transitivity,[status(thm)],[3538, 3536])).
% 4.37/4.54 tff(3540,plain,
% 4.37/4.54 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared) | (~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_master(c_p1, s1)))),
% 4.37/4.54 inference(quant_inst,[status(thm)],[])).
% 4.37/4.54 tff(3541,plain,
% 4.37/4.54 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s1)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared)),
% 4.37/4.54 inference(modus_ponens,[status(thm)],[3540, 3539])).
% 4.37/4.54 tff(3542,plain,
% 4.37/4.54 ($false),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3541, 1029, 1844, 3534, 3535, 1508])).
% 4.37/4.54 tff(3543,plain,((~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.37/4.54 tff(3544,plain,
% 4.37/4.54 (~m_processor_v_state(c_p1, s1, c_invalid)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3543, 3534, 1844, 3535])).
% 4.37/4.54 tff(3545,plain,
% 4.37/4.54 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p1, s1, c_invalid) | (~node62(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p1, s1, c_invalid) | (~node62(c_p1, s1)))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3546,plain,
% 4.37/4.54 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p1, s1, c_invalid) | (~node62(c_p1, s1)))),
% 4.37/4.54 inference(quant_inst,[status(thm)],[])).
% 4.37/4.54 tff(3547,plain,
% 4.37/4.54 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p1, s1, c_invalid) | (~node62(c_p1, s1))),
% 4.37/4.54 inference(modus_ponens,[status(thm)],[3546, 3545])).
% 4.37/4.54 tff(3548,plain,
% 4.37/4.54 (~node62(c_p1, s1)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3547, 2660, 3544])).
% 4.37/4.54 tff(3549,plain,
% 4.37/4.54 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s1, c_owned) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_state(c_p1, s1, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s1, c_owned) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_state(c_p1, s1, c_invalid))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3550,plain,
% 4.37/4.54 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s1, c_owned) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_state(c_p1, s1, c_invalid))),
% 4.37/4.54 inference(quant_inst,[status(thm)],[])).
% 4.37/4.54 tff(3551,plain,
% 4.37/4.54 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s1, c_owned) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_state(c_p1, s1, c_invalid)),
% 4.37/4.54 inference(modus_ponens,[status(thm)],[3550, 3549])).
% 4.37/4.54 tff(3552,plain,
% 4.37/4.54 (m_processor_v_state(c_p1, s1, c_shared)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3551, 1780, 629, 3544])).
% 4.37/4.54 tff(3553,plain,
% 4.37/4.54 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | ((~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_cmd(c_p1, s1, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_cmd(c_p1, s1, c_read_h_owned))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3554,plain,
% 4.37/4.54 ((m_processor_v_cmd(c_p1, s1, c_read_h_owned) | (~m_processor_v_state(c_p1, s1, c_shared)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1)) <=> ((~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_cmd(c_p1, s1, c_read_h_owned))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3555,plain,
% 4.37/4.54 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p1, s1, c_read_h_owned) | (~m_processor_v_state(c_p1, s1, c_shared)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | ((~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_cmd(c_p1, s1, c_read_h_owned)))),
% 4.37/4.54 inference(monotonicity,[status(thm)],[3554])).
% 4.37/4.54 tff(3556,plain,
% 4.37/4.54 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p1, s1, c_read_h_owned) | (~m_processor_v_state(c_p1, s1, c_shared)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_cmd(c_p1, s1, c_read_h_owned))),
% 4.37/4.54 inference(transitivity,[status(thm)],[3555, 3553])).
% 4.37/4.54 tff(3557,plain,
% 4.37/4.54 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p1, s1, c_read_h_owned) | (~m_processor_v_state(c_p1, s1, c_shared)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1))),
% 4.37/4.54 inference(quant_inst,[status(thm)],[])).
% 4.37/4.54 tff(3558,plain,
% 4.37/4.54 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_cmd(c_p1, s1, c_read_h_owned)),
% 4.37/4.54 inference(modus_ponens,[status(thm)],[3557, 3556])).
% 4.37/4.54 tff(3559,plain,
% 4.37/4.54 ($false),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3558, 2674, 1844, 3552, 3548, 3534])).
% 4.37/4.54 tff(3560,plain,(m_processor_v_cmd(c_p1, s1, c_read_h_owned) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_state(c_p1, s1, c_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.37/4.54 tff(3561,plain,
% 4.37/4.54 ($false),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3560, 3533, 3529, 629, 1844])).
% 4.37/4.54 tff(3562,plain,((~m_processor_v_cmd(c_p1, s1, c_idle)) | m_processor_v_state(c_p1, s1, c_owned) | (~m_processor_v_master(c_p1, s1))), inference(lemma,lemma(discharge,[]))).
% 4.37/4.54 tff(3563,plain,
% 4.37/4.54 (~m_processor_v_cmd(c_p1, s1, c_idle)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3562, 1844, 629])).
% 4.37/4.54 tff(3564,assumption,(node10(s1)), introduced(assumption)).
% 4.37/4.54 tff(3565,assumption,(m_processor_v_cmd(c_p1, s1, c_read_h_owned)), introduced(assumption)).
% 4.37/4.54 tff(3566,plain,
% 4.37/4.54 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | m_main_v_CMD(s1, c_read_h_owned))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | m_main_v_CMD(s1, c_read_h_owned))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3567,plain,
% 4.37/4.54 ((m_main_v_CMD(s1, c_read_h_owned) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned))) <=> ((~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | m_main_v_CMD(s1, c_read_h_owned))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3568,plain,
% 4.37/4.54 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | m_main_v_CMD(s1, c_read_h_owned)))),
% 4.37/4.54 inference(monotonicity,[status(thm)],[3567])).
% 4.37/4.54 tff(3569,plain,
% 4.37/4.54 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | m_main_v_CMD(s1, c_read_h_owned))),
% 4.37/4.54 inference(transitivity,[status(thm)],[3568, 3566])).
% 4.37/4.54 tff(3570,plain,
% 4.37/4.54 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)))),
% 4.37/4.54 inference(quant_inst,[status(thm)],[])).
% 4.37/4.54 tff(3571,plain,
% 4.37/4.54 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | m_main_v_CMD(s1, c_read_h_owned)),
% 4.37/4.54 inference(modus_ponens,[status(thm)],[3570, 3569])).
% 4.37/4.54 tff(3572,plain,
% 4.37/4.54 ($false),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3571, 1012, 1988, 3565, 3564])).
% 4.37/4.54 tff(3573,plain,((~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | m_main_v_CMD(s1, c_read_h_owned) | (~node10(s1))), inference(lemma,lemma(discharge,[]))).
% 4.37/4.54 tff(3574,plain,
% 4.37/4.54 (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3573, 3564, 1988])).
% 4.37/4.54 tff(3575,assumption,(m_processor_v_cmd(c_p1, s1, c_read_h_shared)), introduced(assumption)).
% 4.37/4.54 tff(3576,plain,
% 4.37/4.54 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)) | m_main_v_CMD(s1, c_read_h_shared))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)) | m_main_v_CMD(s1, c_read_h_shared))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3577,plain,
% 4.37/4.54 ((m_main_v_CMD(s1, c_read_h_shared) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared))) <=> ((~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)) | m_main_v_CMD(s1, c_read_h_shared))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3578,plain,
% 4.37/4.54 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)) | m_main_v_CMD(s1, c_read_h_shared)))),
% 4.37/4.54 inference(monotonicity,[status(thm)],[3577])).
% 4.37/4.54 tff(3579,plain,
% 4.37/4.54 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)) | m_main_v_CMD(s1, c_read_h_shared))),
% 4.37/4.54 inference(transitivity,[status(thm)],[3578, 3576])).
% 4.37/4.54 tff(3580,plain,
% 4.37/4.54 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)))),
% 4.37/4.54 inference(quant_inst,[status(thm)],[])).
% 4.37/4.54 tff(3581,plain,
% 4.37/4.54 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)) | m_main_v_CMD(s1, c_read_h_shared)),
% 4.37/4.54 inference(modus_ponens,[status(thm)],[3580, 3579])).
% 4.37/4.54 tff(3582,plain,
% 4.37/4.54 ($false),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3581, 1012, 3423, 3575, 3564])).
% 4.37/4.54 tff(3583,plain,((~m_processor_v_cmd(c_p1, s1, c_read_h_shared)) | m_main_v_CMD(s1, c_read_h_shared) | (~node10(s1))), inference(lemma,lemma(discharge,[]))).
% 4.37/4.54 tff(3584,plain,
% 4.37/4.54 (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3583, 3564, 3423])).
% 4.37/4.54 tff(3585,plain,
% 4.37/4.54 ($false),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3560, 3584, 3574, 629, 1844])).
% 4.37/4.54 tff(3586,plain,((~node10(s1)) | m_processor_v_state(c_p1, s1, c_owned) | (~m_processor_v_master(c_p1, s1)) | m_main_v_CMD(s1, c_read_h_shared) | m_main_v_CMD(s1, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 4.37/4.54 tff(3587,plain,
% 4.37/4.54 (~node10(s1)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3586, 1844, 1988, 3423, 629])).
% 4.37/4.54 tff(3588,assumption,(~node10(s1)), introduced(assumption)).
% 4.37/4.54 tff(3589,plain,
% 4.37/4.54 (m_processor_v_master(c_p1, s1)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3347, 3312])).
% 4.37/4.54 tff(3590,plain,
% 4.37/4.54 (((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s1)) | (~node17(s1)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s1)) | (~node17(s1)))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3591,plain,
% 4.37/4.54 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s1)) | (~node17(s1)))),
% 4.37/4.54 inference(quant_inst,[status(thm)],[])).
% 4.37/4.54 tff(3592,plain,
% 4.37/4.54 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s1)) | (~node17(s1))),
% 4.37/4.54 inference(modus_ponens,[status(thm)],[3591, 3590])).
% 4.37/4.54 tff(3593,plain,
% 4.37/4.54 ($false),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3592, 152, 1844, 3281])).
% 4.37/4.54 tff(3594,plain,((~node17(s1)) | (~m_processor_v_master(c_p1, s1))), inference(lemma,lemma(discharge,[]))).
% 4.37/4.54 tff(3595,plain,
% 4.37/4.54 (~node17(s1)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3594, 3589])).
% 4.37/4.54 tff(3596,plain,
% 4.37/4.54 (~m_memory_v_master(c_m, s1)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3294, 3595])).
% 4.37/4.54 tff(3597,plain,
% 4.37/4.54 (~node29(c_m, s1)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3302, 3596])).
% 4.37/4.54 tff(3598,plain,
% 4.37/4.54 (m_memory_v_cmd(c_m, s1, c_idle)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3310, 3597])).
% 4.37/4.54 tff(3599,assumption,(node16(s1)), introduced(assumption)).
% 4.37/4.54 tff(3600,plain,
% 4.37/4.54 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s1)) | (~m_processor_v_master(c_p1, s1)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s1)) | (~m_processor_v_master(c_p1, s1)))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3601,plain,
% 4.37/4.54 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s1)) | (~m_processor_v_master(c_p1, s1)))),
% 4.37/4.54 inference(quant_inst,[status(thm)],[])).
% 4.37/4.54 tff(3602,plain,
% 4.37/4.54 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s1)) | (~m_processor_v_master(c_p1, s1))),
% 4.37/4.54 inference(modus_ponens,[status(thm)],[3601, 3600])).
% 4.37/4.54 tff(3603,plain,
% 4.37/4.54 ($false),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3602, 695, 1844, 3599])).
% 4.37/4.54 tff(3604,plain,((~node16(s1)) | (~m_processor_v_master(c_p1, s1))), inference(lemma,lemma(discharge,[]))).
% 4.37/4.54 tff(3605,plain,
% 4.37/4.54 (~node16(s1)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3604, 3589])).
% 4.37/4.54 tff(3606,plain,
% 4.37/4.54 (~m_processor_v_master(c_p2, s1)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3359, 3605])).
% 4.37/4.54 tff(3607,plain,
% 4.37/4.54 (m_processor_v_cmd(c_p2, s1, c_idle)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3400, 3606])).
% 4.37/4.54 tff(3608,plain,
% 4.37/4.54 (~m_processor_v_master(c_p0, s1)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[1850, 3589])).
% 4.37/4.54 tff(3609,assumption,(~m_processor_v_cmd(c_p0, s1, c_idle)), introduced(assumption)).
% 4.37/4.54 tff(3610,plain,
% 4.37/4.54 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node63(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node63(c_p0, s1)))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3611,plain,
% 4.37/4.54 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node63(c_p0, s1)))),
% 4.37/4.54 inference(quant_inst,[status(thm)],[])).
% 4.37/4.54 tff(3612,plain,
% 4.37/4.54 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node63(c_p0, s1))),
% 4.37/4.54 inference(modus_ponens,[status(thm)],[3611, 3610])).
% 4.37/4.54 tff(3613,plain,
% 4.37/4.54 (~node63(c_p0, s1)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3612, 788, 1791])).
% 4.37/4.54 tff(3614,plain,
% 4.37/4.54 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node62(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node62(c_p0, s1)))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3615,plain,
% 4.37/4.54 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node62(c_p0, s1)))),
% 4.37/4.54 inference(quant_inst,[status(thm)],[])).
% 4.37/4.54 tff(3616,plain,
% 4.37/4.54 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node62(c_p0, s1))),
% 4.37/4.54 inference(modus_ponens,[status(thm)],[3615, 3614])).
% 4.37/4.54 tff(3617,plain,
% 4.37/4.54 (~node62(c_p0, s1)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3616, 757, 1791])).
% 4.37/4.54 tff(3618,plain,
% 4.37/4.54 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node66(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node66(c_p0, s1)))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3619,plain,
% 4.37/4.54 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node66(c_p0, s1)))),
% 4.37/4.54 inference(quant_inst,[status(thm)],[])).
% 4.37/4.54 tff(3620,plain,
% 4.37/4.54 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node66(c_p0, s1))),
% 4.37/4.54 inference(modus_ponens,[status(thm)],[3619, 3618])).
% 4.37/4.54 tff(3621,plain,
% 4.37/4.54 (~node66(c_p0, s1)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3620, 801, 1791])).
% 4.37/4.54 tff(3622,plain,
% 4.37/4.54 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node65(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node65(c_p0, s1)))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3623,plain,
% 4.37/4.54 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node65(c_p0, s1)))),
% 4.37/4.54 inference(quant_inst,[status(thm)],[])).
% 4.37/4.54 tff(3624,plain,
% 4.37/4.54 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node65(c_p0, s1))),
% 4.37/4.54 inference(modus_ponens,[status(thm)],[3623, 3622])).
% 4.37/4.54 tff(3625,plain,
% 4.37/4.54 (~node65(c_p0, s1)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3624, 740, 1791])).
% 4.37/4.54 tff(3626,plain,
% 4.37/4.54 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node64(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node64(c_p0, s1)))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3627,plain,
% 4.37/4.54 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node64(c_p0, s1)))),
% 4.37/4.54 inference(quant_inst,[status(thm)],[])).
% 4.37/4.54 tff(3628,plain,
% 4.37/4.54 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node64(c_p0, s1))),
% 4.37/4.54 inference(modus_ponens,[status(thm)],[3627, 3626])).
% 4.37/4.54 tff(3629,plain,
% 4.37/4.54 (~node64(c_p0, s1)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3628, 726, 1791])).
% 4.37/4.54 tff(3630,assumption,(~node63(c_p0, s1)), introduced(assumption)).
% 4.37/4.54 tff(3631,assumption,(~node62(c_p0, s1)), introduced(assumption)).
% 4.37/4.54 tff(3632,plain,
% 4.37/4.54 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_idle) | node66(c_p0, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_idle) | node66(c_p0, s1))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3633,plain,
% 4.37/4.54 ((m_processor_v_cmd(c_p0, s1, c_idle) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | node66(c_p0, s1)) <=> (node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_idle) | node66(c_p0, s1))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3634,plain,
% 4.37/4.54 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s1, c_idle) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | node66(c_p0, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_idle) | node66(c_p0, s1)))),
% 4.37/4.54 inference(monotonicity,[status(thm)],[3633])).
% 4.37/4.54 tff(3635,plain,
% 4.37/4.54 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s1, c_idle) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | node66(c_p0, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_idle) | node66(c_p0, s1))),
% 4.37/4.54 inference(transitivity,[status(thm)],[3634, 3632])).
% 4.37/4.54 tff(3636,plain,
% 4.37/4.54 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s1, c_idle) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | node66(c_p0, s1))),
% 4.37/4.54 inference(quant_inst,[status(thm)],[])).
% 4.37/4.54 tff(3637,plain,
% 4.37/4.54 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_idle) | node66(c_p0, s1)),
% 4.37/4.54 inference(modus_ponens,[status(thm)],[3636, 3635])).
% 4.37/4.54 tff(3638,plain,
% 4.37/4.54 (node64(c_p0, s1) | node65(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_idle) | node66(c_p0, s1)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3637, 773, 3631, 3630])).
% 4.37/4.54 tff(3639,plain,
% 4.37/4.54 ($false),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3638, 3629, 3625, 3609, 3621])).
% 4.37/4.54 tff(3640,plain,(m_processor_v_master(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_idle) | node62(c_p0, s1) | node63(c_p0, s1)), inference(lemma,lemma(discharge,[]))).
% 4.37/4.54 tff(3641,plain,
% 4.37/4.54 ($false),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3640, 3617, 3613, 3609, 1791])).
% 4.37/4.54 tff(3642,plain,(m_processor_v_master(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_idle)), inference(lemma,lemma(discharge,[]))).
% 4.37/4.54 tff(3643,plain,
% 4.37/4.54 (m_processor_v_cmd(c_p0, s1, c_idle)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3642, 3608])).
% 4.37/4.54 tff(3644,plain,
% 4.37/4.54 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s1) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node10(s1))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s1) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node10(s1))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3645,plain,
% 4.37/4.54 ((node9(s1) | node10(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle))) <=> (node9(s1) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node10(s1))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3646,plain,
% 4.37/4.54 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s1) | node10(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s1) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node10(s1)))),
% 4.37/4.54 inference(monotonicity,[status(thm)],[3645])).
% 4.37/4.54 tff(3647,plain,
% 4.37/4.54 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s1) | node10(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s1) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node10(s1))),
% 4.37/4.54 inference(transitivity,[status(thm)],[3646, 3644])).
% 4.37/4.54 tff(3648,plain,
% 4.37/4.54 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s1) | node10(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)))),
% 4.37/4.54 inference(quant_inst,[status(thm)],[])).
% 4.37/4.54 tff(3649,plain,
% 4.37/4.54 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s1) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node10(s1)),
% 4.37/4.54 inference(modus_ponens,[status(thm)],[3648, 3647])).
% 4.37/4.54 tff(3650,plain,
% 4.37/4.54 (node9(s1)),
% 4.37/4.54 inference(unit_resolution,[status(thm)],[3649, 993, 3643, 3607, 3598, 3588])).
% 4.37/4.54 tff(3651,plain,
% 4.37/4.54 (((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s1, c_idle) | (~node9(s1)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s1, c_idle) | (~node9(s1)))),
% 4.37/4.54 inference(rewrite,[status(thm)],[])).
% 4.37/4.54 tff(3652,plain,
% 4.37/4.54 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s1, c_idle) | (~node9(s1)))),
% 4.37/4.54 inference(quant_inst,[status(thm)],[])).
% 4.37/4.54 tff(3653,plain,
% 4.37/4.54 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s1, c_idle) | (~node9(s1))),
% 4.37/4.55 inference(modus_ponens,[status(thm)],[3652, 3651])).
% 4.37/4.55 tff(3654,plain,
% 4.37/4.55 ($false),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3653, 976, 3312, 3650])).
% 4.37/4.55 tff(3655,plain,(m_processor_v_cmd(c_p1, s1, c_idle) | node10(s1)), inference(lemma,lemma(discharge,[]))).
% 4.37/4.55 tff(3656,plain,
% 4.37/4.55 ($false),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3655, 3587, 3563])).
% 4.37/4.55 tff(3657,plain,((~m_processor_v_master(c_p1, s1)) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared) | m_processor_v_state(c_p1, s1, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.37/4.55 tff(3658,plain,
% 4.37/4.55 (m_main_v_CMD(s1, c_read_h_owned)),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3657, 3525, 3471, 3516])).
% 4.37/4.55 tff(3659,plain,
% 4.37/4.55 ($false),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[1986, 3658, 3515])).
% 4.37/4.55 tff(3660,plain,(m_processor_v_state(c_p0, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.37/4.55 tff(3661,assumption,(m_processor_v_state(c_p0, s3, c_owned)), introduced(assumption)).
% 4.37/4.55 tff(3662,assumption,(node32(c_p0, s2, s3)), introduced(assumption)).
% 4.37/4.55 tff(3663,plain,
% 4.37/4.55 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node32(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node32(c_p0, s2, s3)))),
% 4.37/4.55 inference(rewrite,[status(thm)],[])).
% 4.37/4.55 tff(3664,plain,
% 4.37/4.55 (((~node32(c_p0, s2, s3)) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned))) <=> (m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node32(c_p0, s2, s3)))),
% 4.37/4.55 inference(rewrite,[status(thm)],[])).
% 4.37/4.55 tff(3665,plain,
% 4.37/4.55 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s2, s3)) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node32(c_p0, s2, s3))))),
% 4.37/4.55 inference(monotonicity,[status(thm)],[3664])).
% 4.37/4.55 tff(3666,plain,
% 4.37/4.55 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s2, s3)) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node32(c_p0, s2, s3)))),
% 4.37/4.55 inference(transitivity,[status(thm)],[3665, 3663])).
% 4.37/4.55 tff(3667,plain,
% 4.37/4.55 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s2, s3)) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)))),
% 4.37/4.55 inference(quant_inst,[status(thm)],[])).
% 4.37/4.55 tff(3668,plain,
% 4.37/4.55 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node32(c_p0, s2, s3))),
% 4.37/4.55 inference(modus_ponens,[status(thm)],[3667, 3666])).
% 4.37/4.55 tff(3669,plain,
% 4.37/4.55 ($false),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3668, 3187, 2221, 3662, 3661])).
% 4.37/4.55 tff(3670,plain,((~node32(c_p0, s2, s3)) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.37/4.55 tff(3671,plain,
% 4.37/4.55 ((~node32(c_p0, s2, s3)) | m_processor_v_state(c_p0, s2, c_owned)),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3670, 3660])).
% 4.37/4.55 tff(3672,plain,
% 4.37/4.55 (~node32(c_p0, s2, s3)),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3671, 2217])).
% 4.37/4.55 tff(3673,assumption,(~node38(c_p0, s2, s3)), introduced(assumption)).
% 4.37/4.55 tff(3674,plain,
% 4.37/4.55 (((~![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))),
% 4.37/4.55 inference(rewrite,[status(thm)],[])).
% 4.37/4.55 tff(3675,plain,
% 4.37/4.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))),
% 4.37/4.55 inference(quant_inst,[status(thm)],[])).
% 4.37/4.55 tff(3676,plain,
% 4.37/4.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3)),
% 4.37/4.55 inference(modus_ponens,[status(thm)],[3675, 3674])).
% 4.37/4.55 tff(3677,plain,
% 4.37/4.55 (trans(s2, s3)),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3676, 2946, 47])).
% 4.37/4.55 tff(3678,plain,
% 4.37/4.55 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s2, s3)) | node38(c_p0, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s2, s3)) | node38(c_p0, s2, s3))),
% 4.37/4.55 inference(rewrite,[status(thm)],[])).
% 4.37/4.55 tff(3679,plain,
% 4.37/4.55 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s2, s3)) | node38(c_p0, s2, s3))),
% 4.37/4.55 inference(quant_inst,[status(thm)],[])).
% 4.37/4.55 tff(3680,plain,
% 4.37/4.55 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s2, s3)) | node38(c_p0, s2, s3)),
% 4.37/4.55 inference(modus_ponens,[status(thm)],[3679, 3678])).
% 4.37/4.55 tff(3681,plain,
% 4.37/4.55 ($false),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3680, 61, 3677, 3673])).
% 4.37/4.55 tff(3682,plain,(node38(c_p0, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 4.37/4.55 tff(3683,plain,
% 4.37/4.55 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s2, s3) | (~node38(c_p0, s2, s3)) | (~m_processor_v_abort(c_p0, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s2, s3) | (~node38(c_p0, s2, s3)) | (~m_processor_v_abort(c_p0, s2)))),
% 4.37/4.55 inference(rewrite,[status(thm)],[])).
% 4.37/4.55 tff(3684,plain,
% 4.37/4.55 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s2, s3) | (~node38(c_p0, s2, s3)) | (~m_processor_v_abort(c_p0, s2)))),
% 4.37/4.55 inference(quant_inst,[status(thm)],[])).
% 4.37/4.55 tff(3685,plain,
% 4.37/4.55 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s2, s3) | (~node38(c_p0, s2, s3)) | (~m_processor_v_abort(c_p0, s2))),
% 4.37/4.55 inference(modus_ponens,[status(thm)],[3684, 3683])).
% 4.37/4.55 tff(3686,plain,
% 4.37/4.55 (node32(c_p0, s2, s3) | (~m_processor_v_abort(c_p0, s2))),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3685, 76, 3682])).
% 4.37/4.55 tff(3687,plain,
% 4.37/4.55 (~m_processor_v_abort(c_p0, s2)),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3686, 3672])).
% 4.37/4.55 tff(3688,plain,
% 4.37/4.55 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_owned)))),
% 4.37/4.55 inference(rewrite,[status(thm)],[])).
% 4.37/4.55 tff(3689,plain,
% 4.37/4.55 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_owned)))),
% 4.37/4.55 inference(quant_inst,[status(thm)],[])).
% 4.37/4.55 tff(3690,plain,
% 4.37/4.55 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_owned))),
% 4.37/4.55 inference(modus_ponens,[status(thm)],[3689, 3688])).
% 4.37/4.55 tff(3691,plain,
% 4.37/4.55 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3690, 228, 3660])).
% 4.37/4.55 tff(3692,assumption,(~m_processor_v_master(c_p0, s2)), introduced(assumption)).
% 4.37/4.55 tff(3693,plain,
% 4.37/4.55 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_state(c_p0, s3, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_state(c_p0, s3, c_shared)))),
% 4.37/4.55 inference(rewrite,[status(thm)],[])).
% 4.37/4.55 tff(3694,plain,
% 4.37/4.55 (((~m_processor_v_state(c_p0, s3, c_shared)) | (~m_processor_v_state(c_p0, s3, c_owned))) <=> ((~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_state(c_p0, s3, c_shared)))),
% 4.37/4.55 inference(rewrite,[status(thm)],[])).
% 4.37/4.55 tff(3695,plain,
% 4.37/4.55 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | (~m_processor_v_state(c_p0, s3, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_state(c_p0, s3, c_shared))))),
% 4.37/4.55 inference(monotonicity,[status(thm)],[3694])).
% 4.37/4.55 tff(3696,plain,
% 4.37/4.55 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | (~m_processor_v_state(c_p0, s3, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_state(c_p0, s3, c_shared)))),
% 4.37/4.55 inference(transitivity,[status(thm)],[3695, 3693])).
% 4.37/4.55 tff(3697,plain,
% 4.37/4.55 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | (~m_processor_v_state(c_p0, s3, c_owned)))),
% 4.37/4.55 inference(quant_inst,[status(thm)],[])).
% 4.37/4.55 tff(3698,plain,
% 4.37/4.55 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_state(c_p0, s3, c_shared))),
% 4.37/4.55 inference(modus_ponens,[status(thm)],[3697, 3696])).
% 4.37/4.55 tff(3699,plain,
% 4.37/4.55 (~m_processor_v_state(c_p0, s3, c_shared)),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3698, 1373, 3661])).
% 4.37/4.55 tff(3700,plain,
% 4.37/4.55 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3690, 228, 3661])).
% 4.37/4.55 tff(3701,assumption,(~m_processor_v_state(c_p0, s3, c_invalid)), introduced(assumption)).
% 4.37/4.55 tff(3702,assumption,(~m_processor_v_abort(c_p0, s2)), introduced(assumption)).
% 4.37/4.55 tff(3703,plain,
% 4.37/4.55 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p0, s2) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s2) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)))),
% 4.37/4.55 inference(rewrite,[status(thm)],[])).
% 4.37/4.55 tff(3704,plain,
% 4.37/4.55 (((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_master(c_p0, s2) | node35(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2)) <=> (node35(c_p0, s2) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)))),
% 4.37/4.55 inference(rewrite,[status(thm)],[])).
% 4.37/4.55 tff(3705,plain,
% 4.37/4.55 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_master(c_p0, s2) | node35(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p0, s2) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3))))),
% 4.37/4.55 inference(monotonicity,[status(thm)],[3704])).
% 4.37/4.55 tff(3706,plain,
% 4.37/4.55 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_master(c_p0, s2) | node35(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s2) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)))),
% 4.37/4.55 inference(transitivity,[status(thm)],[3705, 3703])).
% 4.37/4.55 tff(3707,plain,
% 4.37/4.55 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_master(c_p0, s2) | node35(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))),
% 4.37/4.55 inference(quant_inst,[status(thm)],[])).
% 4.37/4.55 tff(3708,plain,
% 4.37/4.55 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s2) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3))),
% 4.37/4.55 inference(modus_ponens,[status(thm)],[3707, 3706])).
% 4.37/4.55 tff(3709,plain,
% 4.37/4.55 (node35(c_p0, s2) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid)),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3708, 1948, 3682])).
% 4.37/4.55 tff(3710,plain,
% 4.37/4.55 (node35(c_p0, s2)),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3709, 3702, 2240, 3692, 3701])).
% 4.37/4.55 tff(3711,plain,
% 4.37/4.55 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node35(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node35(c_p0, s2)))),
% 4.37/4.55 inference(rewrite,[status(thm)],[])).
% 4.37/4.55 tff(3712,plain,
% 4.37/4.55 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node35(c_p0, s2)))),
% 4.37/4.55 inference(quant_inst,[status(thm)],[])).
% 4.37/4.55 tff(3713,plain,
% 4.37/4.55 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node35(c_p0, s2))),
% 4.37/4.55 inference(modus_ponens,[status(thm)],[3712, 3711])).
% 4.37/4.55 tff(3714,plain,
% 4.37/4.55 (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3713, 1966, 3710])).
% 4.37/4.55 tff(3715,plain,
% 4.37/4.55 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s2, c_invalidate)) | (~node35(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s2, c_invalidate)) | (~node35(c_p0, s2)))),
% 4.37/4.55 inference(rewrite,[status(thm)],[])).
% 4.37/4.55 tff(3716,plain,
% 4.37/4.55 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s2, c_invalidate)) | (~node35(c_p0, s2)))),
% 4.37/4.55 inference(quant_inst,[status(thm)],[])).
% 4.37/4.55 tff(3717,plain,
% 4.37/4.55 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s2, c_invalidate)) | (~node35(c_p0, s2))),
% 4.37/4.55 inference(modus_ponens,[status(thm)],[3716, 3715])).
% 4.37/4.55 tff(3718,plain,
% 4.37/4.55 (~m_processor_v_CMD(c_p0, s2, c_invalidate)),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3717, 2031, 3710])).
% 4.37/4.55 tff(3719,plain,
% 4.37/4.55 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)))),
% 4.37/4.55 inference(rewrite,[status(thm)],[])).
% 4.37/4.55 tff(3720,plain,
% 4.37/4.55 (((~m_processor_v_state(c_p0, s2, c_shared)) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2)) <=> (m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)))),
% 4.37/4.55 inference(rewrite,[status(thm)],[])).
% 4.37/4.55 tff(3721,plain,
% 4.37/4.55 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3))))),
% 4.37/4.55 inference(monotonicity,[status(thm)],[3720])).
% 4.37/4.55 tff(3722,plain,
% 4.37/4.55 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)))),
% 4.37/4.55 inference(transitivity,[status(thm)],[3721, 3719])).
% 4.37/4.55 tff(3723,plain,
% 4.37/4.55 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))),
% 4.37/4.55 inference(quant_inst,[status(thm)],[])).
% 4.37/4.55 tff(3724,plain,
% 4.37/4.55 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3))),
% 4.37/4.55 inference(modus_ponens,[status(thm)],[3723, 3722])).
% 4.37/4.55 tff(3725,plain,
% 4.37/4.55 (m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid)),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3724, 2049, 3682])).
% 4.37/4.55 tff(3726,plain,
% 4.37/4.55 (node36(c_p0, s2)),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3725, 3702, 2240, 3692, 2315, 3701])).
% 4.37/4.55 tff(3727,plain,
% 4.37/4.55 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | (~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_invalidate))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | (~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_invalidate))),
% 4.37/4.55 inference(rewrite,[status(thm)],[])).
% 4.37/4.55 tff(3728,plain,
% 4.37/4.55 ((m_processor_v_CMD(c_p0, s2, c_invalidate) | (~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | (~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_invalidate))),
% 4.37/4.55 inference(rewrite,[status(thm)],[])).
% 4.37/4.55 tff(3729,plain,
% 4.37/4.55 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s2, c_invalidate) | (~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | (~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_invalidate)))),
% 4.37/4.55 inference(monotonicity,[status(thm)],[3728])).
% 4.37/4.55 tff(3730,plain,
% 4.37/4.55 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s2, c_invalidate) | (~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | (~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_invalidate))),
% 4.37/4.55 inference(transitivity,[status(thm)],[3729, 3727])).
% 4.37/4.55 tff(3731,plain,
% 4.37/4.55 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s2, c_invalidate) | (~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_owned))),
% 4.37/4.55 inference(quant_inst,[status(thm)],[])).
% 4.37/4.55 tff(3732,plain,
% 4.37/4.55 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | (~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_invalidate)),
% 4.37/4.55 inference(modus_ponens,[status(thm)],[3731, 3730])).
% 4.37/4.55 tff(3733,plain,
% 4.37/4.55 (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_invalidate)),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3732, 2067, 3726])).
% 4.37/4.55 tff(3734,plain,
% 4.37/4.55 ($false),
% 4.37/4.55 inference(unit_resolution,[status(thm)],[3733, 3718, 3714])).
% 4.37/4.55 tff(3735,plain,(m_processor_v_abort(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | m_processor_v_state(c_p0, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.37/4.56 tff(3736,plain,
% 4.37/4.56 (m_processor_v_abort(c_p0, s2)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3735, 3700, 3692, 2240, 3699])).
% 4.37/4.56 tff(3737,plain,
% 4.37/4.56 (node32(c_p0, s2, s3)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3686, 3736])).
% 4.37/4.56 tff(3738,plain,
% 4.37/4.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | (~node32(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | (~node32(c_p0, s2, s3)))),
% 4.37/4.56 inference(rewrite,[status(thm)],[])).
% 4.37/4.56 tff(3739,plain,
% 4.37/4.56 (((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared)) <=> ((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | (~node32(c_p0, s2, s3)))),
% 4.37/4.56 inference(rewrite,[status(thm)],[])).
% 4.37/4.56 tff(3740,plain,
% 4.37/4.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | (~node32(c_p0, s2, s3))))),
% 4.37/4.56 inference(monotonicity,[status(thm)],[3739])).
% 4.37/4.56 tff(3741,plain,
% 4.37/4.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | (~node32(c_p0, s2, s3)))),
% 4.37/4.56 inference(transitivity,[status(thm)],[3740, 3738])).
% 4.37/4.56 tff(3742,plain,
% 4.37/4.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared))),
% 4.37/4.56 inference(quant_inst,[status(thm)],[])).
% 4.37/4.56 tff(3743,plain,
% 4.37/4.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | (~node32(c_p0, s2, s3))),
% 4.37/4.56 inference(modus_ponens,[status(thm)],[3742, 3741])).
% 4.37/4.56 tff(3744,plain,
% 4.37/4.56 ($false),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3743, 28, 2240, 3699, 3737])).
% 4.37/4.56 tff(3745,plain,((~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_master(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 4.37/4.56 tff(3746,plain,
% 4.37/4.56 (~m_processor_v_state(c_p0, s2, c_shared)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3745, 3692, 3661])).
% 4.37/4.56 tff(3747,assumption,(node37(c_p0, s2, s3)), introduced(assumption)).
% 4.37/4.56 tff(3748,plain,
% 4.37/4.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node37(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node37(c_p0, s2, s3)))),
% 4.37/4.56 inference(rewrite,[status(thm)],[])).
% 4.37/4.56 tff(3749,plain,
% 4.37/4.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node37(c_p0, s2, s3)))),
% 4.37/4.56 inference(quant_inst,[status(thm)],[])).
% 4.37/4.56 tff(3750,plain,
% 4.37/4.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node37(c_p0, s2, s3))),
% 4.37/4.56 inference(modus_ponens,[status(thm)],[3749, 3748])).
% 4.37/4.56 tff(3751,plain,
% 4.37/4.56 ($false),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3750, 1612, 2221, 3747, 3661])).
% 4.37/4.56 tff(3752,plain,((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s2, c_owned) | (~node37(c_p0, s2, s3))), inference(lemma,lemma(discharge,[]))).
% 4.37/4.56 tff(3753,plain,
% 4.37/4.56 (~node37(c_p0, s2, s3)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3752, 2221, 3661])).
% 4.37/4.56 tff(3754,plain,
% 4.37/4.56 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s2, c_shared) | (~node36(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s2, c_shared) | (~node36(c_p0, s2)))),
% 4.37/4.56 inference(rewrite,[status(thm)],[])).
% 4.37/4.56 tff(3755,plain,
% 4.37/4.56 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s2, c_shared) | (~node36(c_p0, s2)))),
% 4.37/4.56 inference(quant_inst,[status(thm)],[])).
% 4.37/4.56 tff(3756,plain,
% 4.37/4.56 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s2, c_shared) | (~node36(c_p0, s2))),
% 4.37/4.56 inference(modus_ponens,[status(thm)],[3755, 3754])).
% 4.37/4.56 tff(3757,plain,
% 4.37/4.56 (~node36(c_p0, s2)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3756, 118, 3746])).
% 4.37/4.56 tff(3758,plain,
% 4.37/4.56 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | node37(c_p0, s2, s3) | (~node38(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | node37(c_p0, s2, s3) | (~node38(c_p0, s2, s3)))),
% 4.37/4.56 inference(rewrite,[status(thm)],[])).
% 4.37/4.56 tff(3759,plain,
% 4.37/4.56 ((m_processor_v_state(c_p0, s2, c_shared) | node36(c_p0, s2) | m_processor_v_master(c_p0, s2) | node37(c_p0, s2, s3) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2)) <=> (m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | node37(c_p0, s2, s3) | (~node38(c_p0, s2, s3)))),
% 4.37/4.56 inference(rewrite,[status(thm)],[])).
% 4.37/4.56 tff(3760,plain,
% 4.37/4.56 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s2, c_shared) | node36(c_p0, s2) | m_processor_v_master(c_p0, s2) | node37(c_p0, s2, s3) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | node37(c_p0, s2, s3) | (~node38(c_p0, s2, s3))))),
% 4.37/4.56 inference(monotonicity,[status(thm)],[3759])).
% 4.37/4.56 tff(3761,plain,
% 4.37/4.56 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s2, c_shared) | node36(c_p0, s2) | m_processor_v_master(c_p0, s2) | node37(c_p0, s2, s3) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | node37(c_p0, s2, s3) | (~node38(c_p0, s2, s3)))),
% 4.37/4.56 inference(transitivity,[status(thm)],[3760, 3758])).
% 4.37/4.56 tff(3762,plain,
% 4.37/4.56 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s2, c_shared) | node36(c_p0, s2) | m_processor_v_master(c_p0, s2) | node37(c_p0, s2, s3) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))),
% 4.37/4.56 inference(quant_inst,[status(thm)],[])).
% 4.37/4.56 tff(3763,plain,
% 4.37/4.56 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | node37(c_p0, s2, s3) | (~node38(c_p0, s2, s3))),
% 4.37/4.56 inference(modus_ponens,[status(thm)],[3762, 3761])).
% 4.37/4.56 tff(3764,plain,
% 4.37/4.56 (m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | node37(c_p0, s2, s3)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3763, 134, 3682])).
% 4.37/4.56 tff(3765,plain,
% 4.37/4.56 (m_processor_v_abort(c_p0, s2)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3764, 3757, 3753, 3692, 3746])).
% 4.37/4.56 tff(3766,plain,
% 4.37/4.56 (m_processor_v_state(c_p0, s2, c_invalid)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[2079, 1780, 3746, 2221])).
% 4.37/4.56 tff(3767,plain,
% 4.37/4.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid) | (~node32(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid) | (~node32(c_p0, s2, s3)))),
% 4.37/4.56 inference(rewrite,[status(thm)],[])).
% 4.37/4.56 tff(3768,plain,
% 4.37/4.56 (((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid)) <=> ((~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid) | (~node32(c_p0, s2, s3)))),
% 4.37/4.56 inference(rewrite,[status(thm)],[])).
% 4.37/4.56 tff(3769,plain,
% 4.37/4.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid) | (~node32(c_p0, s2, s3))))),
% 4.37/4.56 inference(monotonicity,[status(thm)],[3768])).
% 4.37/4.56 tff(3770,plain,
% 4.37/4.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid) | (~node32(c_p0, s2, s3)))),
% 4.37/4.56 inference(transitivity,[status(thm)],[3769, 3767])).
% 4.37/4.56 tff(3771,plain,
% 4.37/4.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid))),
% 4.37/4.56 inference(quant_inst,[status(thm)],[])).
% 4.37/4.56 tff(3772,plain,
% 4.37/4.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid) | (~node32(c_p0, s2, s3))),
% 4.37/4.56 inference(modus_ponens,[status(thm)],[3771, 3770])).
% 4.37/4.56 tff(3773,plain,
% 4.37/4.56 ($false),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3772, 28, 2239, 3701, 3662])).
% 4.37/4.56 tff(3774,plain,((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.37/4.56 tff(3775,plain,
% 4.37/4.56 (~node32(c_p0, s2, s3)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3774, 3766, 3701])).
% 4.37/4.56 tff(3776,plain,
% 4.37/4.56 ($false),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3686, 3775, 3765])).
% 4.37/4.56 tff(3777,plain,(m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.37/4.56 tff(3778,plain,
% 4.37/4.56 (m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s2, c_owned)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3777, 3660, 3691])).
% 4.37/4.56 tff(3779,plain,
% 4.37/4.56 (m_processor_v_master(c_p0, s2)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3778, 2217])).
% 4.37/4.56 tff(3780,plain,
% 4.37/4.56 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | (~node38(c_p0, s2, s3)) | node34(c_p0, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | (~node38(c_p0, s2, s3)) | node34(c_p0, s2, s3))),
% 4.37/4.56 inference(rewrite,[status(thm)],[])).
% 4.37/4.56 tff(3781,plain,
% 4.37/4.56 ((node34(c_p0, s2, s3) | (~m_processor_v_master(c_p0, s2)) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2)) <=> ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | (~node38(c_p0, s2, s3)) | node34(c_p0, s2, s3))),
% 4.37/4.56 inference(rewrite,[status(thm)],[])).
% 4.37/4.56 tff(3782,plain,
% 4.37/4.56 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s2, s3) | (~m_processor_v_master(c_p0, s2)) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | (~node38(c_p0, s2, s3)) | node34(c_p0, s2, s3)))),
% 4.37/4.56 inference(monotonicity,[status(thm)],[3781])).
% 4.37/4.56 tff(3783,plain,
% 4.37/4.56 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s2, s3) | (~m_processor_v_master(c_p0, s2)) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | (~node38(c_p0, s2, s3)) | node34(c_p0, s2, s3))),
% 4.37/4.56 inference(transitivity,[status(thm)],[3782, 3780])).
% 4.37/4.56 tff(3784,plain,
% 4.37/4.56 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s2, s3) | (~m_processor_v_master(c_p0, s2)) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))),
% 4.37/4.56 inference(quant_inst,[status(thm)],[])).
% 4.37/4.56 tff(3785,plain,
% 4.37/4.56 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | (~node38(c_p0, s2, s3)) | node34(c_p0, s2, s3)),
% 4.37/4.56 inference(modus_ponens,[status(thm)],[3784, 3783])).
% 4.37/4.56 tff(3786,plain,
% 4.37/4.56 ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node34(c_p0, s2, s3)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3785, 640, 3682])).
% 4.37/4.56 tff(3787,plain,
% 4.37/4.56 (node34(c_p0, s2, s3)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3786, 3779, 3687])).
% 4.37/4.56 tff(3788,plain,
% 4.37/4.56 (~m_processor_v_state(c_p0, s3, c_shared)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3698, 1373, 3660])).
% 4.37/4.56 tff(3789,assumption,(m_processor_v_CMD(c_p0, s2, c_read_h_shared)), introduced(assumption)).
% 4.37/4.56 tff(3790,assumption,(node34(c_p0, s2, s3)), introduced(assumption)).
% 4.37/4.56 tff(3791,plain,
% 4.37/4.56 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))),
% 4.37/4.56 inference(rewrite,[status(thm)],[])).
% 4.37/4.56 tff(3792,plain,
% 4.37/4.56 (((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared))) <=> (m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))),
% 4.37/4.56 inference(rewrite,[status(thm)],[])).
% 4.37/4.56 tff(3793,plain,
% 4.37/4.56 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared))))),
% 4.37/4.56 inference(monotonicity,[status(thm)],[3792])).
% 4.37/4.56 tff(3794,plain,
% 4.37/4.56 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))),
% 4.37/4.56 inference(transitivity,[status(thm)],[3793, 3791])).
% 4.37/4.56 tff(3795,plain,
% 4.37/4.56 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))),
% 4.37/4.56 inference(quant_inst,[status(thm)],[])).
% 4.37/4.56 tff(3796,plain,
% 4.37/4.56 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared))),
% 4.37/4.56 inference(modus_ponens,[status(thm)],[3795, 3794])).
% 4.37/4.56 tff(3797,plain,
% 4.37/4.56 ($false),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3796, 1393, 2315, 3790, 3789])).
% 4.37/4.56 tff(3798,plain,((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 4.37/4.56 tff(3799,plain,
% 4.37/4.56 ((~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared))),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3798, 3788])).
% 4.37/4.56 tff(3800,plain,
% 4.37/4.56 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3799, 3787])).
% 4.37/4.56 tff(3801,assumption,(~m_processor_v_CMD(c_p0, s2, c_read_h_shared)), introduced(assumption)).
% 4.37/4.56 tff(3802,assumption,(~m_processor_v_CMD(c_p0, s2, c_read_h_owned)), introduced(assumption)).
% 4.37/4.56 tff(3803,plain,
% 4.37/4.56 (~node32(c_p0, s2, s3)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3774, 3701, 2239])).
% 4.37/4.56 tff(3804,plain,
% 4.37/4.56 (~m_processor_v_abort(c_p0, s2)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3686, 3803])).
% 4.37/4.56 tff(3805,plain,
% 4.37/4.56 (~node36(c_p0, s2)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3756, 118, 2000])).
% 4.37/4.56 tff(3806,plain,
% 4.37/4.56 (m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_state(c_p0, s3, c_invalid)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[2318, 1780, 2315])).
% 4.37/4.56 tff(3807,plain,
% 4.37/4.56 (m_processor_v_state(c_p0, s3, c_owned)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3806, 3701])).
% 4.37/4.56 tff(3808,plain,
% 4.37/4.56 (~node37(c_p0, s2, s3)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3752, 3807, 2221])).
% 4.37/4.56 tff(3809,plain,
% 4.37/4.56 (m_processor_v_master(c_p0, s2)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3764, 3808, 2000, 3805, 3804])).
% 4.37/4.56 tff(3810,plain,
% 4.37/4.56 (node34(c_p0, s2, s3)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3786, 3809, 3804])).
% 4.37/4.56 tff(3811,plain,
% 4.37/4.56 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)))),
% 4.37/4.56 inference(rewrite,[status(thm)],[])).
% 4.37/4.56 tff(3812,plain,
% 4.37/4.56 (((~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid))) <=> (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)))),
% 4.37/4.56 inference(rewrite,[status(thm)],[])).
% 4.37/4.56 tff(3813,plain,
% 4.37/4.56 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid))))),
% 4.37/4.56 inference(monotonicity,[status(thm)],[3812])).
% 4.37/4.56 tff(3814,plain,
% 4.37/4.56 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)))),
% 4.37/4.56 inference(transitivity,[status(thm)],[3813, 3811])).
% 4.37/4.56 tff(3815,plain,
% 4.37/4.56 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)))),
% 4.37/4.56 inference(quant_inst,[status(thm)],[])).
% 4.37/4.56 tff(3816,plain,
% 4.37/4.56 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid))),
% 4.37/4.56 inference(modus_ponens,[status(thm)],[3815, 3814])).
% 4.37/4.56 tff(3817,plain,
% 4.37/4.56 (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3816, 1209, 3701, 3810, 3802, 3801])).
% 4.37/4.56 tff(3818,plain,
% 4.37/4.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node33(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node33(c_p0, s2, s3)))),
% 4.37/4.56 inference(rewrite,[status(thm)],[])).
% 4.37/4.56 tff(3819,plain,
% 4.37/4.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node33(c_p0, s2, s3)))),
% 4.37/4.56 inference(quant_inst,[status(thm)],[])).
% 4.37/4.56 tff(3820,plain,
% 4.37/4.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node33(c_p0, s2, s3))),
% 4.37/4.56 inference(modus_ponens,[status(thm)],[3819, 3818])).
% 4.37/4.56 tff(3821,plain,
% 4.37/4.56 (~node33(c_p0, s2, s3)),
% 4.37/4.56 inference(unit_resolution,[status(thm)],[3820, 1654, 2221, 3807])).
% 4.37/4.56 tff(3822,assumption,(~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)), introduced(assumption)).
% 4.37/4.56 tff(3823,assumption,(~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)), introduced(assumption)).
% 4.37/4.56 tff(3824,plain,
% 4.37/4.56 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared)))),
% 4.37/4.57 inference(rewrite,[status(thm)],[])).
% 4.37/4.57 tff(3825,plain,
% 4.37/4.57 (((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared))) <=> (m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared)))),
% 4.37/4.57 inference(rewrite,[status(thm)],[])).
% 4.37/4.57 tff(3826,plain,
% 4.37/4.57 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared))))),
% 4.37/4.57 inference(monotonicity,[status(thm)],[3825])).
% 4.37/4.57 tff(3827,plain,
% 4.37/4.57 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared)))),
% 4.37/4.57 inference(transitivity,[status(thm)],[3826, 3824])).
% 4.37/4.57 tff(3828,plain,
% 4.37/4.57 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared)))),
% 4.37/4.57 inference(quant_inst,[status(thm)],[])).
% 4.37/4.57 tff(3829,plain,
% 4.37/4.57 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared))),
% 4.37/4.57 inference(modus_ponens,[status(thm)],[3828, 3827])).
% 4.37/4.57 tff(3830,plain,
% 4.37/4.57 (m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared))),
% 4.37/4.57 inference(unit_resolution,[status(thm)],[3829, 1444, 3790, 3802, 3801])).
% 4.37/4.57 tff(3831,plain,
% 4.37/4.57 (~m_processor_v_CMD(c_p0, s2, c_write_h_shared)),
% 4.37/4.57 inference(unit_resolution,[status(thm)],[3830, 2315, 3823, 3822])).
% 4.37/4.57 tff(3832,assumption,(~node33(c_p0, s2, s3)), introduced(assumption)).
% 4.37/4.57 tff(3833,plain,
% 4.37/4.57 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | node33(c_p0, s2, s3) | (~node34(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | node33(c_p0, s2, s3) | (~node34(c_p0, s2, s3)))),
% 4.37/4.57 inference(rewrite,[status(thm)],[])).
% 4.37/4.57 tff(3834,plain,
% 4.37/4.57 ((node33(c_p0, s2, s3) | (~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | node33(c_p0, s2, s3) | (~node34(c_p0, s2, s3)))),
% 4.37/4.57 inference(rewrite,[status(thm)],[])).
% 4.37/4.57 tff(3835,plain,
% 4.37/4.57 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s2, s3) | (~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | node33(c_p0, s2, s3) | (~node34(c_p0, s2, s3))))),
% 4.37/4.57 inference(monotonicity,[status(thm)],[3834])).
% 4.37/4.57 tff(3836,plain,
% 4.37/4.57 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s2, s3) | (~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | node33(c_p0, s2, s3) | (~node34(c_p0, s2, s3)))),
% 4.37/4.57 inference(transitivity,[status(thm)],[3835, 3833])).
% 4.37/4.57 tff(3837,plain,
% 4.37/4.57 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s2, s3) | (~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared))),
% 4.37/4.57 inference(quant_inst,[status(thm)],[])).
% 4.37/4.57 tff(3838,plain,
% 4.37/4.57 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | node33(c_p0, s2, s3) | (~node34(c_p0, s2, s3))),
% 4.37/4.57 inference(modus_ponens,[status(thm)],[3837, 3836])).
% 4.37/4.57 tff(3839,plain,
% 4.37/4.57 (m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)),
% 4.37/4.57 inference(unit_resolution,[status(thm)],[3838, 1265, 3790, 3802, 3801, 3832])).
% 4.37/4.57 tff(3840,plain,
% 4.37/4.57 (m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)),
% 4.37/4.57 inference(unit_resolution,[status(thm)],[3839, 3831, 3823, 3822])).
% 4.37/4.57 tff(3841,plain,
% 4.37/4.57 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)))),
% 4.37/4.57 inference(rewrite,[status(thm)],[])).
% 4.37/4.57 tff(3842,plain,
% 4.37/4.57 (((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)))),
% 4.37/4.57 inference(rewrite,[status(thm)],[])).
% 4.37/4.57 tff(3843,plain,
% 4.37/4.57 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared))))),
% 4.37/4.57 inference(monotonicity,[status(thm)],[3842])).
% 4.37/4.57 tff(3844,plain,
% 4.37/4.57 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)))),
% 4.37/4.57 inference(transitivity,[status(thm)],[3843, 3841])).
% 4.37/4.57 tff(3845,plain,
% 4.37/4.57 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)))),
% 4.37/4.57 inference(quant_inst,[status(thm)],[])).
% 4.37/4.57 tff(3846,plain,
% 4.37/4.57 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared))),
% 4.37/4.57 inference(modus_ponens,[status(thm)],[3845, 3844])).
% 4.37/4.57 tff(3847,plain,
% 4.37/4.57 (m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_state(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared))),
% 4.37/4.57 inference(unit_resolution,[status(thm)],[3846, 1486, 3790, 3802, 3801])).
% 4.37/4.57 tff(3848,plain,
% 4.37/4.57 ($false),
% 4.37/4.57 inference(unit_resolution,[status(thm)],[3847, 3840, 3831, 3823, 3822, 2315])).
% 4.37/4.57 tff(3849,plain,(m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | node33(c_p0, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 4.37/4.57 tff(3850,plain,
% 4.37/4.57 (m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)),
% 4.37/4.57 inference(unit_resolution,[status(thm)],[3849, 3821, 2315, 3810, 3802, 3801, 3817])).
% 4.37/4.57 tff(3851,plain,
% 4.37/4.57 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)))),
% 4.37/4.57 inference(rewrite,[status(thm)],[])).
% 4.37/4.57 tff(3852,plain,
% 4.37/4.57 (((~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)))),
% 4.37/4.57 inference(rewrite,[status(thm)],[])).
% 4.37/4.57 tff(3853,plain,
% 4.37/4.57 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid))))),
% 4.37/4.57 inference(monotonicity,[status(thm)],[3852])).
% 4.37/4.57 tff(3854,plain,
% 4.37/4.57 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)))),
% 4.42/4.57 inference(transitivity,[status(thm)],[3853, 3851])).
% 4.42/4.57 tff(3855,plain,
% 4.42/4.57 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)))),
% 4.42/4.57 inference(quant_inst,[status(thm)],[])).
% 4.42/4.57 tff(3856,plain,
% 4.42/4.57 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid))),
% 4.42/4.57 inference(modus_ponens,[status(thm)],[3855, 3854])).
% 4.42/4.57 tff(3857,plain,
% 4.42/4.57 (m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid))),
% 4.42/4.57 inference(unit_resolution,[status(thm)],[3856, 1415, 3701, 3810, 3802, 3801])).
% 4.42/4.57 tff(3858,plain,
% 4.42/4.57 ($false),
% 4.42/4.57 inference(unit_resolution,[status(thm)],[3857, 3850, 3817])).
% 4.42/4.57 tff(3859,plain,(m_processor_v_state(c_p0, s3, c_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_state(c_p0, s2, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 4.42/4.57 tff(3860,plain,
% 4.42/4.57 (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_state(c_p0, s2, c_invalid))),
% 4.42/4.57 inference(unit_resolution,[status(thm)],[3859, 3788, 3691])).
% 4.42/4.57 tff(3861,plain,
% 4.42/4.57 (m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 4.42/4.57 inference(unit_resolution,[status(thm)],[3860, 2238, 2217, 3800, 2246])).
% 4.42/4.57 tff(3862,plain,
% 4.42/4.57 (^[I0: $i, X: $i] : refl(((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X))) <=> ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X))))),
% 4.42/4.57 inference(bind,[status(th)],[])).
% 4.42/4.57 tff(3863,plain,
% 4.42/4.57 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))),
% 4.42/4.57 inference(quant_intro,[status(thm)],[3862])).
% 4.42/4.57 tff(3864,plain,
% 4.42/4.57 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))),
% 4.42/4.57 inference(rewrite,[status(thm)],[])).
% 4.42/4.57 tff(3865,axiom,(![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_135')).
% 4.42/4.57 tff(3866,plain,
% 4.42/4.57 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))),
% 4.42/4.57 inference(modus_ponens,[status(thm)],[3865, 3864])).
% 4.42/4.57 tff(3867,plain,(
% 4.42/4.57 ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))),
% 4.42/4.57 inference(skolemize,[status(sab)],[3866])).
% 4.42/4.57 tff(3868,plain,
% 4.42/4.57 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))),
% 4.42/4.57 inference(modus_ponens,[status(thm)],[3867, 3863])).
% 4.42/4.57 tff(3869,plain,
% 4.42/4.57 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node59(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node59(c_p0, s2)))),
% 4.42/4.57 inference(rewrite,[status(thm)],[])).
% 4.42/4.57 tff(3870,plain,
% 4.42/4.57 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node59(c_p0, s2)))),
% 4.42/4.57 inference(quant_inst,[status(thm)],[])).
% 4.42/4.57 tff(3871,plain,
% 4.42/4.57 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node59(c_p0, s2))),
% 4.42/4.57 inference(modus_ponens,[status(thm)],[3870, 3869])).
% 4.42/4.57 tff(3872,plain,
% 4.42/4.57 (~node59(c_p0, s2)),
% 4.42/4.57 inference(unit_resolution,[status(thm)],[3871, 3868, 3861])).
% 4.42/4.57 tff(3873,assumption,(~node60(c_p0, s2)), introduced(assumption)).
% 4.42/4.57 tff(3874,plain,
% 4.42/4.57 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s2) | node60(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s2) | node60(c_p0, s2))),
% 4.42/4.57 inference(rewrite,[status(thm)],[])).
% 4.42/4.57 tff(3875,plain,
% 4.42/4.57 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s2) | node60(c_p0, s2))),
% 4.42/4.57 inference(quant_inst,[status(thm)],[])).
% 4.42/4.57 tff(3876,plain,
% 4.42/4.57 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s2) | node60(c_p0, s2)),
% 4.42/4.57 inference(modus_ponens,[status(thm)],[3875, 3874])).
% 4.42/4.57 tff(3877,plain,
% 4.42/4.57 ($false),
% 4.42/4.57 inference(unit_resolution,[status(thm)],[3876, 491, 3702, 3873])).
% 4.42/4.57 tff(3878,plain,(m_processor_v_abort(c_p0, s2) | node60(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.57 tff(3879,plain,
% 4.42/4.57 (node60(c_p0, s2)),
% 4.42/4.57 inference(unit_resolution,[status(thm)],[3878, 3687])).
% 4.42/4.57 tff(3880,plain,
% 4.42/4.57 (^[I0: $i, X: $i] : refl((node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X))) <=> (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X))))),
% 4.42/4.57 inference(bind,[status(th)],[])).
% 4.42/4.57 tff(3881,plain,
% 4.42/4.57 (![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X))) <=> ![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))),
% 4.42/4.57 inference(quant_intro,[status(thm)],[3880])).
% 4.42/4.57 tff(3882,plain,
% 4.42/4.57 (![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X))) <=> ![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))),
% 4.42/4.57 inference(rewrite,[status(thm)],[])).
% 4.42/4.57 tff(3883,plain,
% 4.42/4.57 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((node59(I0, X) | (~m_processor_v_REPLY_h_WAITING(I0, X))) <=> (node59(I0, X) | (~m_processor_v_REPLY_h_WAITING(I0, X)))), (((node59(I0, X) | (~m_processor_v_REPLY_h_WAITING(I0, X))) | (~node60(I0, X))) <=> ((node59(I0, X) | (~m_processor_v_REPLY_h_WAITING(I0, X))) | (~node60(I0, X))))), rewrite(((node59(I0, X) | (~m_processor_v_REPLY_h_WAITING(I0, X))) | (~node60(I0, X))) <=> (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))), (((node59(I0, X) | (~m_processor_v_REPLY_h_WAITING(I0, X))) | (~node60(I0, X))) <=> (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))))),
% 4.42/4.57 inference(bind,[status(th)],[])).
% 4.42/4.57 tff(3884,plain,
% 4.42/4.57 (![I0: $i, X: $i] : ((node59(I0, X) | (~m_processor_v_REPLY_h_WAITING(I0, X))) | (~node60(I0, X))) <=> ![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))),
% 4.42/4.57 inference(quant_intro,[status(thm)],[3883])).
% 4.42/4.57 tff(3885,axiom,(![I0: $i, X: $i] : ((node59(I0, X) | (~m_processor_v_REPLY_h_WAITING(I0, X))) | (~node60(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_137')).
% 4.42/4.58 tff(3886,plain,
% 4.42/4.58 (![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3885, 3884])).
% 4.42/4.58 tff(3887,plain,
% 4.42/4.58 (![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3886, 3882])).
% 4.42/4.58 tff(3888,plain,(
% 4.42/4.58 ![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))),
% 4.42/4.58 inference(skolemize,[status(sab)],[3887])).
% 4.42/4.58 tff(3889,plain,
% 4.42/4.58 (![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3888, 3881])).
% 4.42/4.58 tff(3890,plain,
% 4.42/4.58 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~node60(c_p0, s2)) | node59(c_p0, s2) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~node60(c_p0, s2)) | node59(c_p0, s2) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(3891,plain,
% 4.42/4.58 ((node59(c_p0, s2) | (~node60(c_p0, s2)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2))) <=> ((~node60(c_p0, s2)) | node59(c_p0, s2) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(3892,plain,
% 4.42/4.58 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s2) | (~node60(c_p0, s2)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~node60(c_p0, s2)) | node59(c_p0, s2) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2))))),
% 4.42/4.58 inference(monotonicity,[status(thm)],[3891])).
% 4.42/4.58 tff(3893,plain,
% 4.42/4.58 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s2) | (~node60(c_p0, s2)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~node60(c_p0, s2)) | node59(c_p0, s2) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)))),
% 4.42/4.58 inference(transitivity,[status(thm)],[3892, 3890])).
% 4.42/4.58 tff(3894,plain,
% 4.42/4.58 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s2) | (~node60(c_p0, s2)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)))),
% 4.42/4.58 inference(quant_inst,[status(thm)],[])).
% 4.42/4.58 tff(3895,plain,
% 4.42/4.58 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~node60(c_p0, s2)) | node59(c_p0, s2) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3894, 3893])).
% 4.42/4.58 tff(3896,plain,
% 4.42/4.58 (node59(c_p0, s2) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2))),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[3895, 3889, 3879])).
% 4.42/4.58 tff(3897,plain,
% 4.42/4.58 (~m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[3896, 3872])).
% 4.42/4.58 tff(3898,assumption,(~m_processor_v_REPLY_h_WAITING(c_p0, s2)), introduced(assumption)).
% 4.42/4.58 tff(3899,assumption,(m_main_v_REPLY_h_WAITING(s2)), introduced(assumption)).
% 4.42/4.58 tff(3900,plain,
% 4.42/4.58 (^[X: $i] : refl(((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X)) <=> ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X)))),
% 4.42/4.58 inference(bind,[status(th)],[])).
% 4.42/4.58 tff(3901,plain,
% 4.42/4.58 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))),
% 4.42/4.58 inference(quant_intro,[status(thm)],[3900])).
% 4.42/4.58 tff(3902,plain,
% 4.42/4.58 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(3903,plain,
% 4.42/4.58 (^[X: $i] : rewrite((m_processor_v_REPLY_h_WAITING(c_p0, X) | (~m_main_v_REPLY_h_WAITING(X))) <=> ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X)))),
% 4.42/4.58 inference(bind,[status(th)],[])).
% 4.42/4.58 tff(3904,plain,
% 4.42/4.58 (![X: $i] : (m_processor_v_REPLY_h_WAITING(c_p0, X) | (~m_main_v_REPLY_h_WAITING(X))) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))),
% 4.42/4.58 inference(quant_intro,[status(thm)],[3903])).
% 4.42/4.58 tff(3905,axiom,(![X: $i] : (m_processor_v_REPLY_h_WAITING(c_p0, X) | (~m_main_v_REPLY_h_WAITING(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_52')).
% 4.42/4.58 tff(3906,plain,
% 4.42/4.58 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3905, 3904])).
% 4.42/4.58 tff(3907,plain,
% 4.42/4.58 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3906, 3902])).
% 4.42/4.58 tff(3908,plain,(
% 4.42/4.58 ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))),
% 4.42/4.58 inference(skolemize,[status(sab)],[3907])).
% 4.42/4.58 tff(3909,plain,
% 4.42/4.58 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3908, 3901])).
% 4.42/4.58 tff(3910,plain,
% 4.42/4.58 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s2)) | m_processor_v_REPLY_h_WAITING(c_p0, s2))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s2)) | m_processor_v_REPLY_h_WAITING(c_p0, s2))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(3911,plain,
% 4.42/4.58 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s2)) | m_processor_v_REPLY_h_WAITING(c_p0, s2))),
% 4.42/4.58 inference(quant_inst,[status(thm)],[])).
% 4.42/4.58 tff(3912,plain,
% 4.42/4.58 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s2)) | m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3911, 3910])).
% 4.42/4.58 tff(3913,plain,
% 4.42/4.58 ($false),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[3912, 3909, 3899, 3898])).
% 4.42/4.58 tff(3914,plain,((~m_main_v_REPLY_h_WAITING(s2)) | m_processor_v_REPLY_h_WAITING(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.58 tff(3915,plain,
% 4.42/4.58 (~m_main_v_REPLY_h_WAITING(s2)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[3914, 3897])).
% 4.42/4.58 tff(3916,assumption,(~node6(s2)), introduced(assumption)).
% 4.42/4.58 tff(3917,assumption,(~m_main_v_REPLY_h_WAITING(s2)), introduced(assumption)).
% 4.42/4.58 tff(3918,plain,
% 4.42/4.58 (^[X: $i] : refl((m_main_v_REPLY_h_WAITING(X) | node6(X)) <=> (m_main_v_REPLY_h_WAITING(X) | node6(X)))),
% 4.42/4.58 inference(bind,[status(th)],[])).
% 4.42/4.58 tff(3919,plain,
% 4.42/4.58 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X)) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))),
% 4.42/4.58 inference(quant_intro,[status(thm)],[3918])).
% 4.42/4.58 tff(3920,plain,
% 4.42/4.58 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X)) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(3921,axiom,(![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_82')).
% 4.42/4.58 tff(3922,plain,
% 4.42/4.58 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3921, 3920])).
% 4.42/4.58 tff(3923,plain,(
% 4.42/4.58 ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))),
% 4.42/4.58 inference(skolemize,[status(sab)],[3922])).
% 4.42/4.58 tff(3924,plain,
% 4.42/4.58 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3923, 3919])).
% 4.42/4.58 tff(3925,plain,
% 4.42/4.58 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | (m_main_v_REPLY_h_WAITING(s2) | node6(s2))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | m_main_v_REPLY_h_WAITING(s2) | node6(s2))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(3926,plain,
% 4.42/4.58 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | (m_main_v_REPLY_h_WAITING(s2) | node6(s2))),
% 4.42/4.58 inference(quant_inst,[status(thm)],[])).
% 4.42/4.58 tff(3927,plain,
% 4.42/4.58 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | m_main_v_REPLY_h_WAITING(s2) | node6(s2)),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3926, 3925])).
% 4.42/4.58 tff(3928,plain,
% 4.42/4.58 ($false),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[3927, 3924, 3917, 3916])).
% 4.42/4.58 tff(3929,plain,(m_main_v_REPLY_h_WAITING(s2) | node6(s2)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.58 tff(3930,plain,
% 4.42/4.58 (node6(s2)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[3929, 3915])).
% 4.42/4.58 tff(3931,assumption,(node6(s2)), introduced(assumption)).
% 4.42/4.58 tff(3932,assumption,(m_processor_v_reply_h_waiting(c_p1, s2)), introduced(assumption)).
% 4.42/4.58 tff(3933,plain,
% 4.42/4.58 (^[X: $i] : refl(((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X))) <=> ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X))))),
% 4.42/4.58 inference(bind,[status(th)],[])).
% 4.42/4.58 tff(3934,plain,
% 4.42/4.58 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X))) <=> ![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))),
% 4.42/4.58 inference(quant_intro,[status(thm)],[3933])).
% 4.42/4.58 tff(3935,plain,
% 4.42/4.58 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X))) <=> ![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(3936,plain,
% 4.42/4.58 (^[X: $i] : rewrite(((~m_processor_v_reply_h_waiting(c_p1, X)) | (~node6(X))) <=> ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X))))),
% 4.42/4.58 inference(bind,[status(th)],[])).
% 4.42/4.58 tff(3937,plain,
% 4.42/4.58 (![X: $i] : ((~m_processor_v_reply_h_waiting(c_p1, X)) | (~node6(X))) <=> ![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))),
% 4.42/4.58 inference(quant_intro,[status(thm)],[3936])).
% 4.42/4.58 tff(3938,axiom,(![X: $i] : ((~m_processor_v_reply_h_waiting(c_p1, X)) | (~node6(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_80')).
% 4.42/4.58 tff(3939,plain,
% 4.42/4.58 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3938, 3937])).
% 4.42/4.58 tff(3940,plain,
% 4.42/4.58 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3939, 3935])).
% 4.42/4.58 tff(3941,plain,(
% 4.42/4.58 ![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))),
% 4.42/4.58 inference(skolemize,[status(sab)],[3940])).
% 4.42/4.58 tff(3942,plain,
% 4.42/4.58 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3941, 3934])).
% 4.42/4.58 tff(3943,plain,
% 4.42/4.58 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | ((~node6(s2)) | (~m_processor_v_reply_h_waiting(c_p1, s2)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | (~node6(s2)) | (~m_processor_v_reply_h_waiting(c_p1, s2)))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(3944,plain,
% 4.42/4.58 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | ((~node6(s2)) | (~m_processor_v_reply_h_waiting(c_p1, s2)))),
% 4.42/4.58 inference(quant_inst,[status(thm)],[])).
% 4.42/4.58 tff(3945,plain,
% 4.42/4.58 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | (~node6(s2)) | (~m_processor_v_reply_h_waiting(c_p1, s2))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3944, 3943])).
% 4.42/4.58 tff(3946,plain,
% 4.42/4.58 ($false),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[3945, 3942, 3932, 3931])).
% 4.42/4.58 tff(3947,plain,((~m_processor_v_reply_h_waiting(c_p1, s2)) | (~node6(s2))), inference(lemma,lemma(discharge,[]))).
% 4.42/4.58 tff(3948,plain,
% 4.42/4.58 (~m_processor_v_reply_h_waiting(c_p1, s2)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[3947, 3930])).
% 4.42/4.58 tff(3949,plain,
% 4.42/4.58 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s2)) | (~m_processor_v_master(c_p1, s2)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s2)) | (~m_processor_v_master(c_p1, s2)))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(3950,plain,
% 4.42/4.58 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s2)) | (~m_processor_v_master(c_p1, s2)))),
% 4.42/4.58 inference(quant_inst,[status(thm)],[])).
% 4.42/4.58 tff(3951,plain,
% 4.42/4.58 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s2)) | (~m_processor_v_master(c_p1, s2))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3950, 3949])).
% 4.42/4.58 tff(3952,plain,
% 4.42/4.58 (~m_processor_v_master(c_p1, s2)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[3951, 815, 3779])).
% 4.42/4.58 tff(3953,plain,
% 4.42/4.58 (^[I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X)) <=> (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X)))),
% 4.42/4.58 inference(bind,[status(th)],[])).
% 4.42/4.58 tff(3954,plain,
% 4.42/4.58 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))),
% 4.42/4.58 inference(quant_intro,[status(thm)],[3953])).
% 4.42/4.58 tff(3955,plain,
% 4.42/4.58 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(3956,plain,
% 4.42/4.58 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_reply_h_waiting(I0, X) | m_processor_v_master(I0, X)) <=> (m_processor_v_master(I0, X) | m_processor_v_reply_h_waiting(I0, X))), (((m_processor_v_reply_h_waiting(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_waiting(I0, X))) <=> ((m_processor_v_master(I0, X) | m_processor_v_reply_h_waiting(I0, X)) | (~m_processor_v_waiting(I0, X))))), rewrite(((m_processor_v_master(I0, X) | m_processor_v_reply_h_waiting(I0, X)) | (~m_processor_v_waiting(I0, X))) <=> (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))), (((m_processor_v_reply_h_waiting(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_waiting(I0, X))) <=> (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))))),
% 4.42/4.58 inference(bind,[status(th)],[])).
% 4.42/4.58 tff(3957,plain,
% 4.42/4.58 (![I0: $i, X: $i] : ((m_processor_v_reply_h_waiting(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_waiting(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))),
% 4.42/4.58 inference(quant_intro,[status(thm)],[3956])).
% 4.42/4.58 tff(3958,axiom,(![I0: $i, X: $i] : ((m_processor_v_reply_h_waiting(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_waiting(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_132')).
% 4.42/4.58 tff(3959,plain,
% 4.42/4.58 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3958, 3957])).
% 4.42/4.58 tff(3960,plain,
% 4.42/4.58 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3959, 3955])).
% 4.42/4.58 tff(3961,plain,(
% 4.42/4.58 ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))),
% 4.42/4.58 inference(skolemize,[status(sab)],[3960])).
% 4.42/4.58 tff(3962,plain,
% 4.42/4.58 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3961, 3954])).
% 4.42/4.58 tff(3963,plain,
% 4.42/4.58 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p1, s2)) | m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_waiting(c_p1, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s2)) | m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_waiting(c_p1, s2))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(3964,plain,
% 4.42/4.58 ((m_processor_v_master(c_p1, s2) | (~m_processor_v_waiting(c_p1, s2)) | m_processor_v_reply_h_waiting(c_p1, s2)) <=> ((~m_processor_v_waiting(c_p1, s2)) | m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_waiting(c_p1, s2))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(3965,plain,
% 4.42/4.58 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s2) | (~m_processor_v_waiting(c_p1, s2)) | m_processor_v_reply_h_waiting(c_p1, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p1, s2)) | m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_waiting(c_p1, s2)))),
% 4.42/4.58 inference(monotonicity,[status(thm)],[3964])).
% 4.42/4.58 tff(3966,plain,
% 4.42/4.58 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s2) | (~m_processor_v_waiting(c_p1, s2)) | m_processor_v_reply_h_waiting(c_p1, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s2)) | m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_waiting(c_p1, s2))),
% 4.42/4.58 inference(transitivity,[status(thm)],[3965, 3963])).
% 4.42/4.58 tff(3967,plain,
% 4.42/4.58 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s2) | (~m_processor_v_waiting(c_p1, s2)) | m_processor_v_reply_h_waiting(c_p1, s2))),
% 4.42/4.58 inference(quant_inst,[status(thm)],[])).
% 4.42/4.58 tff(3968,plain,
% 4.42/4.58 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s2)) | m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_waiting(c_p1, s2)),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3967, 3966])).
% 4.42/4.58 tff(3969,plain,
% 4.42/4.58 ((~m_processor_v_waiting(c_p1, s2)) | m_processor_v_reply_h_waiting(c_p1, s2)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[3968, 3962, 3952])).
% 4.42/4.58 tff(3970,plain,
% 4.42/4.58 (~m_processor_v_waiting(c_p1, s2)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[3969, 3948])).
% 4.42/4.58 tff(3971,plain,
% 4.42/4.58 (~node32(c_p1, s1, s2)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[1927, 2218, 3])).
% 4.42/4.58 tff(3972,plain,
% 4.42/4.58 (~m_processor_v_abort(c_p1, s1)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[1893, 3971])).
% 4.42/4.58 tff(3973,plain,
% 4.42/4.58 (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[3495, 3970, 2219, 3972])).
% 4.42/4.58 tff(3974,plain,
% 4.42/4.58 (~node47(c_p1, s1)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[3506, 3973])).
% 4.42/4.58 tff(3975,plain,
% 4.42/4.58 (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[3514, 3974, 2219, 3972, 3970])).
% 4.42/4.58 tff(3976,plain,
% 4.42/4.58 (~m_processor_v_state(c_p1, s1, c_owned)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[2856, 2218])).
% 4.42/4.58 tff(3977,plain,
% 4.42/4.58 (~m_main_v_CMD(s1, c_read_h_shared)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[3524, 3973])).
% 4.42/4.58 tff(3978,plain,
% 4.42/4.58 (m_main_v_CMD(s1, c_read_h_owned)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[3657, 3977, 2219, 3976])).
% 4.42/4.58 tff(3979,plain,
% 4.42/4.58 ($false),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[1986, 3978, 3975])).
% 4.42/4.58 tff(3980,plain,(node20(c_m, s0) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_state(c_p1, s2, c_owned) | m_memory_v_busy(c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.58 tff(3981,plain,
% 4.42/4.58 (node20(c_m, s0)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[3980, 4, 1515, 3])).
% 4.42/4.58 tff(3982,plain,
% 4.42/4.58 (~m_processor_v_master(c_p1, s0)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[820, 808])).
% 4.42/4.58 tff(3983,assumption,(node66(c_p1, s0)), introduced(assumption)).
% 4.42/4.58 tff(3984,plain,
% 4.42/4.58 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | (m_processor_v_state(c_p1, s0, c_owned) | (~node66(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | m_processor_v_state(c_p1, s0, c_owned) | (~node66(c_p1, s0)))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(3985,plain,
% 4.42/4.58 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | (m_processor_v_state(c_p1, s0, c_owned) | (~node66(c_p1, s0)))),
% 4.42/4.58 inference(quant_inst,[status(thm)],[])).
% 4.42/4.58 tff(3986,plain,
% 4.42/4.58 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | m_processor_v_state(c_p1, s0, c_owned) | (~node66(c_p1, s0))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3985, 3984])).
% 4.42/4.58 tff(3987,plain,
% 4.42/4.58 ($false),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[3986, 875, 232, 3983])).
% 4.42/4.58 tff(3988,plain,(~node66(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.58 tff(3989,plain,
% 4.42/4.58 (~m_processor_v_cmd(c_p1, s0, c_idle)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[1133, 1130, 982, 981, 1120])).
% 4.42/4.58 tff(3990,plain,
% 4.42/4.58 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s0) | (~node62(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s0) | (~node62(c_p1, s0)))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(3991,plain,
% 4.42/4.58 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s0) | (~node62(c_p1, s0)))),
% 4.42/4.58 inference(quant_inst,[status(thm)],[])).
% 4.42/4.58 tff(3992,plain,
% 4.42/4.58 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s0) | (~node62(c_p1, s0))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3991, 3990])).
% 4.42/4.58 tff(3993,plain,
% 4.42/4.58 (~node62(c_p1, s0)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[3992, 757, 124])).
% 4.42/4.58 tff(3994,plain,
% 4.42/4.58 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s0, c_shared) | (~node63(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s0, c_shared) | (~node63(c_p1, s0)))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(3995,plain,
% 4.42/4.58 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s0, c_shared) | (~node63(c_p1, s0)))),
% 4.42/4.58 inference(quant_inst,[status(thm)],[])).
% 4.42/4.58 tff(3996,plain,
% 4.42/4.58 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s0, c_shared) | (~node63(c_p1, s0))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3995, 3994])).
% 4.42/4.58 tff(3997,plain,
% 4.42/4.58 (~node63(c_p1, s0)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[3996, 836, 111])).
% 4.42/4.58 tff(3998,plain,
% 4.42/4.58 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_state(c_p1, s0, c_owned) | (~node64(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_state(c_p1, s0, c_owned) | (~node64(c_p1, s0)))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(3999,plain,
% 4.42/4.58 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_state(c_p1, s0, c_owned) | (~node64(c_p1, s0)))),
% 4.42/4.58 inference(quant_inst,[status(thm)],[])).
% 4.42/4.58 tff(4000,plain,
% 4.42/4.58 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_state(c_p1, s0, c_owned) | (~node64(c_p1, s0))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[3999, 3998])).
% 4.42/4.58 tff(4001,plain,
% 4.42/4.58 (~node64(c_p1, s0)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[4000, 847, 232])).
% 4.42/4.58 tff(4002,plain,
% 4.42/4.58 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | (m_processor_v_state(c_p1, s0, c_owned) | (~node65(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | m_processor_v_state(c_p1, s0, c_owned) | (~node65(c_p1, s0)))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(4003,plain,
% 4.42/4.58 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | (m_processor_v_state(c_p1, s0, c_owned) | (~node65(c_p1, s0)))),
% 4.42/4.58 inference(quant_inst,[status(thm)],[])).
% 4.42/4.58 tff(4004,plain,
% 4.42/4.58 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | m_processor_v_state(c_p1, s0, c_owned) | (~node65(c_p1, s0))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[4003, 4002])).
% 4.42/4.58 tff(4005,plain,
% 4.42/4.58 (~node65(c_p1, s0)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[4004, 861, 232])).
% 4.42/4.58 tff(4006,assumption,(~node66(c_p1, s0)), introduced(assumption)).
% 4.42/4.58 tff(4007,plain,
% 4.42/4.58 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p1, s0) | node63(c_p1, s0) | node64(c_p1, s0) | node65(c_p1, s0) | node66(c_p1, s0) | m_processor_v_cmd(c_p1, s0, c_idle))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s0) | node63(c_p1, s0) | node64(c_p1, s0) | node65(c_p1, s0) | node66(c_p1, s0) | m_processor_v_cmd(c_p1, s0, c_idle))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(4008,plain,
% 4.42/4.58 ((m_processor_v_cmd(c_p1, s0, c_idle) | node62(c_p1, s0) | node63(c_p1, s0) | node64(c_p1, s0) | node65(c_p1, s0) | node66(c_p1, s0)) <=> (node62(c_p1, s0) | node63(c_p1, s0) | node64(c_p1, s0) | node65(c_p1, s0) | node66(c_p1, s0) | m_processor_v_cmd(c_p1, s0, c_idle))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(4009,plain,
% 4.42/4.58 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s0, c_idle) | node62(c_p1, s0) | node63(c_p1, s0) | node64(c_p1, s0) | node65(c_p1, s0) | node66(c_p1, s0))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p1, s0) | node63(c_p1, s0) | node64(c_p1, s0) | node65(c_p1, s0) | node66(c_p1, s0) | m_processor_v_cmd(c_p1, s0, c_idle)))),
% 4.42/4.58 inference(monotonicity,[status(thm)],[4008])).
% 4.42/4.58 tff(4010,plain,
% 4.42/4.58 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s0, c_idle) | node62(c_p1, s0) | node63(c_p1, s0) | node64(c_p1, s0) | node65(c_p1, s0) | node66(c_p1, s0))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s0) | node63(c_p1, s0) | node64(c_p1, s0) | node65(c_p1, s0) | node66(c_p1, s0) | m_processor_v_cmd(c_p1, s0, c_idle))),
% 4.42/4.58 inference(transitivity,[status(thm)],[4009, 4007])).
% 4.42/4.58 tff(4011,plain,
% 4.42/4.58 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s0, c_idle) | node62(c_p1, s0) | node63(c_p1, s0) | node64(c_p1, s0) | node65(c_p1, s0) | node66(c_p1, s0))),
% 4.42/4.58 inference(quant_inst,[status(thm)],[])).
% 4.42/4.58 tff(4012,plain,
% 4.42/4.58 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s0) | node63(c_p1, s0) | node64(c_p1, s0) | node65(c_p1, s0) | node66(c_p1, s0) | m_processor_v_cmd(c_p1, s0, c_idle)),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[4011, 4010])).
% 4.42/4.58 tff(4013,plain,
% 4.42/4.58 ($false),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[4012, 773, 4006, 4005, 4001, 3997, 3993, 3989])).
% 4.42/4.58 tff(4014,plain,(node66(c_p1, s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | node8(s0) | m_processor_v_master(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.58 tff(4015,plain,
% 4.42/4.58 ((~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | node8(s0) | m_processor_v_master(c_p1, s0)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[4014, 3988])).
% 4.42/4.58 tff(4016,plain,
% 4.42/4.58 ((~m_processor_v_cmd(c_p2, s0, c_idle)) | node8(s0) | m_processor_v_master(c_p1, s0)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[4015, 954])).
% 4.42/4.58 tff(4017,plain,
% 4.42/4.58 (~m_processor_v_cmd(c_p2, s0, c_idle)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[4016, 3982, 1120])).
% 4.42/4.58 tff(4018,plain,
% 4.42/4.58 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s0)) | (~m_processor_v_master(c_p0, s0)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s0)) | (~m_processor_v_master(c_p0, s0)))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(4019,plain,
% 4.42/4.58 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s0)) | (~m_processor_v_master(c_p0, s0)))),
% 4.42/4.58 inference(quant_inst,[status(thm)],[])).
% 4.42/4.58 tff(4020,plain,
% 4.42/4.58 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s0)) | (~m_processor_v_master(c_p0, s0))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[4019, 4018])).
% 4.42/4.58 tff(4021,plain,
% 4.42/4.58 ($false),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[4020, 2472, 808, 685])).
% 4.42/4.58 tff(4022,plain,((~m_processor_v_master(c_p0, s0)) | (~node16(s0))), inference(lemma,lemma(discharge,[]))).
% 4.42/4.58 tff(4023,plain,
% 4.42/4.58 (~node16(s0)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[4022, 808])).
% 4.42/4.58 tff(4024,plain,
% 4.42/4.58 (~m_processor_v_master(c_p2, s0)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[715, 4023])).
% 4.42/4.58 tff(4025,plain,
% 4.42/4.58 ($false),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[806, 4024, 4017])).
% 4.42/4.58 tff(4026,plain,((~m_processor_v_master(c_p0, s0)) | node8(s0)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.58 tff(4027,plain,
% 4.42/4.58 (node8(s0)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[4026, 808])).
% 4.42/4.58 tff(4028,plain,
% 4.42/4.58 (~m_memory_v_CMD(c_m, s0, c_read_h_owned)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[598, 582])).
% 4.42/4.58 tff(4029,plain,
% 4.42/4.58 (~m_main_v_CMD(s0, c_read_h_owned)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[627, 4028])).
% 4.42/4.58 tff(4030,plain,
% 4.42/4.58 (~m_memory_v_CMD(c_m, s0, c_read_h_shared)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[1358, 582])).
% 4.42/4.58 tff(4031,plain,
% 4.42/4.58 (~m_main_v_CMD(s0, c_read_h_shared)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[1341, 4030])).
% 4.42/4.58 tff(4032,plain,
% 4.42/4.58 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s0, c_read_h_shared)) | m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)) | m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0)))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(4033,plain,
% 4.42/4.58 ((m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared))) <=> ((~m_processor_v_cmd(c_p0, s0, c_read_h_shared)) | m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0)))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(4034,plain,
% 4.42/4.58 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s0, c_read_h_shared)) | m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0))))),
% 4.42/4.58 inference(monotonicity,[status(thm)],[4033])).
% 4.42/4.58 tff(4035,plain,
% 4.42/4.58 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)) | m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0)))),
% 4.42/4.58 inference(transitivity,[status(thm)],[4034, 4032])).
% 4.42/4.58 tff(4036,plain,
% 4.42/4.58 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)))),
% 4.42/4.58 inference(quant_inst,[status(thm)],[])).
% 4.42/4.58 tff(4037,plain,
% 4.42/4.58 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)) | m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[4036, 4035])).
% 4.42/4.58 tff(4038,plain,
% 4.42/4.58 (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[4037, 2716, 4027, 4031])).
% 4.42/4.58 tff(4039,plain,
% 4.42/4.58 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_master(c_p0, s0)) | (~m_processor_v_state(c_p0, s0, c_invalid)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_master(c_p0, s0)) | (~m_processor_v_state(c_p0, s0, c_invalid)))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(4040,plain,
% 4.42/4.58 ((m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_master(c_p0, s0))) <=> (m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_master(c_p0, s0)) | (~m_processor_v_state(c_p0, s0, c_invalid)))),
% 4.42/4.58 inference(rewrite,[status(thm)],[])).
% 4.42/4.58 tff(4041,plain,
% 4.42/4.58 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_master(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_master(c_p0, s0)) | (~m_processor_v_state(c_p0, s0, c_invalid))))),
% 4.42/4.58 inference(monotonicity,[status(thm)],[4040])).
% 4.42/4.58 tff(4042,plain,
% 4.42/4.58 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_master(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_master(c_p0, s0)) | (~m_processor_v_state(c_p0, s0, c_invalid)))),
% 4.42/4.58 inference(transitivity,[status(thm)],[4041, 4039])).
% 4.42/4.58 tff(4043,plain,
% 4.42/4.58 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_master(c_p0, s0)))),
% 4.42/4.58 inference(quant_inst,[status(thm)],[])).
% 4.42/4.58 tff(4044,plain,
% 4.42/4.58 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_master(c_p0, s0)) | (~m_processor_v_state(c_p0, s0, c_invalid))),
% 4.42/4.58 inference(modus_ponens,[status(thm)],[4043, 4042])).
% 4.42/4.58 tff(4045,plain,
% 4.42/4.58 (m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_master(c_p0, s0))),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[4044, 1029, 287])).
% 4.42/4.58 tff(4046,plain,
% 4.42/4.58 (m_processor_v_cmd(c_p0, s0, c_read_h_owned)),
% 4.42/4.58 inference(unit_resolution,[status(thm)],[4045, 4038, 808])).
% 4.42/4.59 tff(4047,plain,
% 4.42/4.59 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s0, c_read_h_owned)) | (~node8(s0)) | m_main_v_CMD(s0, c_read_h_owned))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s0, c_read_h_owned)) | (~node8(s0)) | m_main_v_CMD(s0, c_read_h_owned))),
% 4.42/4.59 inference(rewrite,[status(thm)],[])).
% 4.42/4.59 tff(4048,plain,
% 4.42/4.59 ((m_main_v_CMD(s0, c_read_h_owned) | (~node8(s0)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_owned))) <=> ((~m_processor_v_cmd(c_p0, s0, c_read_h_owned)) | (~node8(s0)) | m_main_v_CMD(s0, c_read_h_owned))),
% 4.42/4.59 inference(rewrite,[status(thm)],[])).
% 4.42/4.59 tff(4049,plain,
% 4.42/4.59 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node8(s0)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s0, c_read_h_owned)) | (~node8(s0)) | m_main_v_CMD(s0, c_read_h_owned)))),
% 4.42/4.59 inference(monotonicity,[status(thm)],[4048])).
% 4.42/4.59 tff(4050,plain,
% 4.42/4.59 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node8(s0)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s0, c_read_h_owned)) | (~node8(s0)) | m_main_v_CMD(s0, c_read_h_owned))),
% 4.42/4.59 inference(transitivity,[status(thm)],[4049, 4047])).
% 4.42/4.59 tff(4051,plain,
% 4.42/4.59 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node8(s0)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_owned)))),
% 4.42/4.59 inference(quant_inst,[status(thm)],[])).
% 4.42/4.59 tff(4052,plain,
% 4.42/4.59 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s0, c_read_h_owned)) | (~node8(s0)) | m_main_v_CMD(s0, c_read_h_owned)),
% 4.42/4.59 inference(modus_ponens,[status(thm)],[4051, 4050])).
% 4.42/4.59 tff(4053,plain,
% 4.42/4.59 ($false),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4052, 2716, 4046, 4029, 4027])).
% 4.42/4.59 tff(4054,plain,((~node20(c_m, s0)) | (~m_processor_v_master(c_p0, s0))), inference(lemma,lemma(discharge,[]))).
% 4.42/4.59 tff(4055,plain,
% 4.42/4.59 (~m_processor_v_master(c_p0, s0)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4054, 3981])).
% 4.42/4.59 tff(4056,plain,
% 4.42/4.59 (m_processor_v_state(c_p0, s1, c_invalid)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[1564, 4055])).
% 4.42/4.59 tff(4057,plain,
% 4.42/4.59 (~m_memory_v_CMD(c_m, s0, c_read_h_shared)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[1358, 3981])).
% 4.42/4.59 tff(4058,plain,
% 4.42/4.59 (~m_main_v_CMD(s0, c_read_h_shared)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[1341, 4057])).
% 4.42/4.59 tff(4059,plain,
% 4.42/4.59 (~m_memory_v_CMD(c_m, s0, c_read_h_owned)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[598, 3981])).
% 4.42/4.59 tff(4060,plain,
% 4.42/4.59 (~m_main_v_CMD(s0, c_read_h_owned)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[627, 4059])).
% 4.42/4.59 tff(4061,plain,
% 4.42/4.59 (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[1504, 4060])).
% 4.42/4.59 tff(4062,plain,
% 4.42/4.59 (m_processor_v_state(c_p1, s1, c_invalid)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[1311, 4061, 4058])).
% 4.42/4.59 tff(4063,plain,
% 4.42/4.59 (m_processor_v_master(c_p1, s1)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[1902, 4062, 3, 1515])).
% 4.42/4.59 tff(4064,plain,
% 4.42/4.59 (~m_processor_v_master(c_p0, s1)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[1850, 4063])).
% 4.42/4.59 tff(4065,plain,
% 4.42/4.59 (m_processor_v_state(c_p0, s2, c_invalid)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[2237, 4064, 2217, 4056])).
% 4.42/4.59 tff(4066,plain,
% 4.42/4.59 (~m_processor_v_state(c_p0, s2, c_shared)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[2245, 4065])).
% 4.42/4.59 tff(4067,plain,
% 4.42/4.59 (m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3860, 4065, 2217, 3800, 4066])).
% 4.42/4.59 tff(4068,plain,
% 4.42/4.59 (~node59(c_p0, s2)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3871, 3868, 4067])).
% 4.42/4.59 tff(4069,plain,
% 4.42/4.59 (~m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3896, 4068])).
% 4.42/4.59 tff(4070,plain,
% 4.42/4.59 (~m_main_v_REPLY_h_WAITING(s2)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3914, 4069])).
% 4.42/4.59 tff(4071,plain,
% 4.42/4.59 (node6(s2)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3929, 4070])).
% 4.42/4.59 tff(4072,plain,
% 4.42/4.59 (~m_processor_v_reply_h_waiting(c_p1, s2)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3947, 4071])).
% 4.42/4.59 tff(4073,plain,
% 4.42/4.59 (~m_processor_v_waiting(c_p1, s2)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3969, 4072])).
% 4.42/4.59 tff(4074,plain,
% 4.42/4.59 (~node32(c_p1, s1, s2)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[1927, 4062, 3])).
% 4.42/4.59 tff(4075,plain,
% 4.42/4.59 (~m_processor_v_abort(c_p1, s1)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[1893, 4074])).
% 4.42/4.59 tff(4076,plain,
% 4.42/4.59 (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3495, 4073, 4063, 4075])).
% 4.42/4.59 tff(4077,plain,
% 4.42/4.59 (~node47(c_p1, s1)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3506, 4076])).
% 4.42/4.59 tff(4078,plain,
% 4.42/4.59 (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3514, 4077, 4063, 4075, 4073])).
% 4.42/4.59 tff(4079,plain,
% 4.42/4.59 (~m_processor_v_state(c_p1, s1, c_owned)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[2856, 4062])).
% 4.42/4.59 tff(4080,plain,
% 4.42/4.59 (~m_main_v_CMD(s1, c_read_h_shared)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3524, 4076])).
% 4.42/4.59 tff(4081,plain,
% 4.42/4.59 (m_main_v_CMD(s1, c_read_h_owned)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3657, 4080, 4063, 4079])).
% 4.42/4.59 tff(4082,plain,
% 4.42/4.59 ($false),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[1986, 4081, 4078])).
% 4.42/4.59 tff(4083,plain,(m_memory_v_busy(c_m, s1) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_state(c_p1, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.59 tff(4084,plain,
% 4.42/4.59 (m_memory_v_busy(c_m, s1)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4083, 1515, 3])).
% 4.42/4.59 tff(4085,plain,
% 4.42/4.59 (~node56(c_p1, s2)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3248, 1515])).
% 4.42/4.59 tff(4086,plain,
% 4.42/4.59 (~m_processor_v_writable(c_p1, s2)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3241, 4085])).
% 4.42/4.59 tff(4087,plain,
% 4.42/4.59 (~node67(s2)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3233, 2827, 4086])).
% 4.42/4.59 tff(4088,plain,
% 4.42/4.59 (m_processor_v_master(c_p0, s2)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3777, 2221, 3661, 3700])).
% 4.42/4.59 tff(4089,assumption,(~m_processor_v_waiting(c_p0, s3)), introduced(assumption)).
% 4.42/4.59 tff(4090,plain,
% 4.42/4.59 (~node32(c_p0, s2, s3)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3670, 2221, 3661])).
% 4.42/4.59 tff(4091,plain,
% 4.42/4.59 (~m_processor_v_abort(c_p0, s2)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3686, 4090])).
% 4.42/4.59 tff(4092,assumption,(~node53(c_p0, s2, s3)), introduced(assumption)).
% 4.42/4.59 tff(4093,plain,
% 4.42/4.59 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s2, s3)) | node53(c_p0, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s2, s3)) | node53(c_p0, s2, s3))),
% 4.42/4.59 inference(rewrite,[status(thm)],[])).
% 4.42/4.59 tff(4094,plain,
% 4.42/4.59 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s2, s3)) | node53(c_p0, s2, s3))),
% 4.42/4.59 inference(quant_inst,[status(thm)],[])).
% 4.42/4.59 tff(4095,plain,
% 4.42/4.59 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s2, s3)) | node53(c_p0, s2, s3)),
% 4.42/4.59 inference(modus_ponens,[status(thm)],[4094, 4093])).
% 4.42/4.59 tff(4096,plain,
% 4.42/4.59 ($false),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4095, 2746, 3677, 4092])).
% 4.42/4.59 tff(4097,plain,(node53(c_p0, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.59 tff(4098,plain,
% 4.42/4.59 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node53(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node53(c_p0, s2, s3)))),
% 4.42/4.59 inference(rewrite,[status(thm)],[])).
% 4.42/4.59 tff(4099,plain,
% 4.42/4.59 ((m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | (~node53(c_p0, s2, s3))) <=> ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node53(c_p0, s2, s3)))),
% 4.42/4.59 inference(rewrite,[status(thm)],[])).
% 4.42/4.59 tff(4100,plain,
% 4.42/4.59 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | (~node53(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node53(c_p0, s2, s3))))),
% 4.42/4.59 inference(monotonicity,[status(thm)],[4099])).
% 4.42/4.59 tff(4101,plain,
% 4.42/4.59 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | (~node53(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node53(c_p0, s2, s3)))),
% 4.42/4.59 inference(transitivity,[status(thm)],[4100, 4098])).
% 4.42/4.59 tff(4102,plain,
% 4.42/4.59 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | (~node53(c_p0, s2, s3)))),
% 4.42/4.59 inference(quant_inst,[status(thm)],[])).
% 4.42/4.59 tff(4103,plain,
% 4.42/4.59 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node53(c_p0, s2, s3))),
% 4.42/4.59 inference(modus_ponens,[status(thm)],[4102, 4101])).
% 4.42/4.59 tff(4104,plain,
% 4.42/4.59 ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared))),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4103, 2781, 4097])).
% 4.42/4.59 tff(4105,plain,
% 4.42/4.59 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4104, 4091, 4089, 4088])).
% 4.42/4.59 tff(4106,assumption,(node47(c_p0, s2)), introduced(assumption)).
% 4.42/4.59 tff(4107,plain,
% 4.42/4.59 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node47(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node47(c_p0, s2)))),
% 4.42/4.59 inference(rewrite,[status(thm)],[])).
% 4.42/4.59 tff(4108,plain,
% 4.42/4.59 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node47(c_p0, s2)))),
% 4.42/4.59 inference(quant_inst,[status(thm)],[])).
% 4.42/4.59 tff(4109,plain,
% 4.42/4.59 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node47(c_p0, s2))),
% 4.42/4.59 inference(modus_ponens,[status(thm)],[4108, 4107])).
% 4.42/4.59 tff(4110,plain,
% 4.42/4.59 ($false),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4109, 2796, 3801, 4106])).
% 4.42/4.59 tff(4111,plain,((~node47(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.59 tff(4112,plain,
% 4.42/4.59 (~node47(c_p0, s2)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4111, 4105])).
% 4.42/4.59 tff(4113,plain,
% 4.42/4.59 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node53(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node53(c_p0, s2, s3)))),
% 4.42/4.59 inference(rewrite,[status(thm)],[])).
% 4.42/4.59 tff(4114,plain,
% 4.42/4.59 ((m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | (~node53(c_p0, s2, s3))) <=> ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node53(c_p0, s2, s3)))),
% 4.42/4.59 inference(rewrite,[status(thm)],[])).
% 4.42/4.59 tff(4115,plain,
% 4.42/4.59 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | (~node53(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node53(c_p0, s2, s3))))),
% 4.42/4.59 inference(monotonicity,[status(thm)],[4114])).
% 4.42/4.59 tff(4116,plain,
% 4.42/4.59 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | (~node53(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node53(c_p0, s2, s3)))),
% 4.42/4.59 inference(transitivity,[status(thm)],[4115, 4113])).
% 4.42/4.59 tff(4117,plain,
% 4.42/4.59 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | (~node53(c_p0, s2, s3)))),
% 4.42/4.59 inference(quant_inst,[status(thm)],[])).
% 4.42/4.59 tff(4118,plain,
% 4.42/4.59 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node53(c_p0, s2, s3))),
% 4.42/4.59 inference(modus_ponens,[status(thm)],[4117, 4116])).
% 4.42/4.59 tff(4119,plain,
% 4.42/4.59 ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned))),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4118, 2763, 4097])).
% 4.42/4.59 tff(4120,plain,
% 4.42/4.59 (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4119, 4112, 4089, 4088, 4091])).
% 4.42/4.59 tff(4121,plain,
% 4.42/4.59 (m_processor_v_master(c_p0, s2)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3745, 2240, 3661])).
% 4.42/4.59 tff(4122,plain,
% 4.42/4.59 (node34(c_p0, s2, s3)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3786, 4121, 3702])).
% 4.42/4.59 tff(4123,plain,
% 4.42/4.59 (m_processor_v_state(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared))),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3796, 1393, 4122])).
% 4.42/4.59 tff(4124,plain,
% 4.42/4.59 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4123, 3699])).
% 4.42/4.59 tff(4125,plain,
% 4.42/4.59 (m_processor_v_master(c_p0, s2)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3745, 2240, 3807])).
% 4.42/4.59 tff(4126,plain,
% 4.42/4.59 ($false),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3743, 28, 2240, 2315, 3662])).
% 4.42/4.59 tff(4127,plain,((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.59 tff(4128,plain,
% 4.42/4.59 (~node32(c_p0, s2, s3)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4127, 2240, 2315])).
% 4.42/4.59 tff(4129,plain,
% 4.42/4.59 (~m_processor_v_abort(c_p0, s2)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3686, 4128])).
% 4.42/4.59 tff(4130,plain,
% 4.42/4.59 (node34(c_p0, s2, s3)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3786, 4129, 4125])).
% 4.42/4.59 tff(4131,plain,
% 4.42/4.59 (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3816, 1209, 3701, 4130, 3802, 3801])).
% 4.42/4.59 tff(4132,plain,
% 4.42/4.59 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | (~node33(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s2, c_shared)) | (~node33(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared))),
% 4.42/4.59 inference(rewrite,[status(thm)],[])).
% 4.42/4.59 tff(4133,plain,
% 4.42/4.59 (((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | (~node33(c_p0, s2, s3))) <=> ((~m_processor_v_state(c_p0, s2, c_shared)) | (~node33(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared))),
% 4.42/4.59 inference(rewrite,[status(thm)],[])).
% 4.42/4.59 tff(4134,plain,
% 4.42/4.59 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | (~node33(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | (~node33(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared)))),
% 4.42/4.59 inference(monotonicity,[status(thm)],[4133])).
% 4.42/4.59 tff(4135,plain,
% 4.42/4.59 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | (~node33(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s2, c_shared)) | (~node33(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared))),
% 4.42/4.59 inference(transitivity,[status(thm)],[4134, 4132])).
% 4.42/4.59 tff(4136,plain,
% 4.42/4.59 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | (~node33(c_p0, s2, s3)))),
% 4.42/4.59 inference(quant_inst,[status(thm)],[])).
% 4.42/4.59 tff(4137,plain,
% 4.42/4.59 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s2, c_shared)) | (~node33(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared)),
% 4.42/4.59 inference(modus_ponens,[status(thm)],[4136, 4135])).
% 4.42/4.59 tff(4138,plain,
% 4.42/4.59 (~node33(c_p0, s2, s3)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4137, 1231, 2240, 2315])).
% 4.42/4.59 tff(4139,plain,
% 4.42/4.59 (m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3849, 4131, 2315, 4138, 3802, 3801, 4130])).
% 4.42/4.59 tff(4140,plain,
% 4.42/4.59 (m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid))),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3856, 1415, 3701, 4130, 3802, 3801])).
% 4.42/4.59 tff(4141,plain,
% 4.42/4.59 ($false),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4140, 4139, 4131])).
% 4.42/4.59 tff(4142,plain,((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_state(c_p0, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.59 tff(4143,plain,
% 4.42/4.59 ($false),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4142, 4124, 3700, 3802, 2240, 3699])).
% 4.42/4.59 tff(4144,plain,((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_abort(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.59 tff(4145,plain,
% 4.42/4.59 (~m_processor_v_state(c_p0, s2, c_shared)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4144, 4120, 3661, 4091])).
% 4.42/4.59 tff(4146,plain,
% 4.42/4.59 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3859, 2221, 2315, 3701, 3802, 3801, 2000])).
% 4.42/4.59 tff(4147,plain,
% 4.42/4.59 ($false),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[2080, 4146, 2221])).
% 4.42/4.59 tff(4148,plain,(m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.59 tff(4149,plain,
% 4.42/4.59 ($false),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4148, 4145, 4120, 2315, 3700, 2221, 4105])).
% 4.42/4.59 tff(4150,plain,(m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s3, c_shared) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_waiting(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.59 tff(4151,plain,
% 4.42/4.59 (m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_waiting(c_p0, s3)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4150, 3660, 3788])).
% 4.42/4.59 tff(4152,plain,
% 4.42/4.59 (m_processor_v_waiting(c_p0, s3)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4151, 2221])).
% 4.42/4.59 tff(4153,assumption,(m_processor_v_waiting(c_p0, s3)), introduced(assumption)).
% 4.42/4.59 tff(4154,plain,
% 4.42/4.59 (((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p0, s3)) | (~node56(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p0, s3)) | (~node56(c_p0, s3)))),
% 4.42/4.59 inference(rewrite,[status(thm)],[])).
% 4.42/4.59 tff(4155,plain,
% 4.42/4.59 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p0, s3)) | (~node56(c_p0, s3)))),
% 4.42/4.59 inference(quant_inst,[status(thm)],[])).
% 4.42/4.59 tff(4156,plain,
% 4.42/4.59 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p0, s3)) | (~node56(c_p0, s3))),
% 4.42/4.59 inference(modus_ponens,[status(thm)],[4155, 4154])).
% 4.42/4.59 tff(4157,plain,
% 4.42/4.59 ($false),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4156, 2734, 2248, 4153])).
% 4.42/4.59 tff(4158,plain,((~m_processor_v_waiting(c_p0, s3)) | (~node56(c_p0, s3))), inference(lemma,lemma(discharge,[]))).
% 4.42/4.59 tff(4159,plain,
% 4.42/4.59 (~node56(c_p0, s3)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4158, 4152])).
% 4.42/4.59 tff(4160,plain,
% 4.42/4.59 (~m_processor_v_writable(c_p0, s3)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[2275, 4159])).
% 4.42/4.59 tff(4161,plain,
% 4.42/4.59 (~node67(s3)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[2290, 4160])).
% 4.42/4.59 tff(4162,plain,
% 4.42/4.59 (node67(s4)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3146, 4161, 2873])).
% 4.42/4.59 tff(4163,assumption,(~m_processor_v_writable(c_p1, s4)), introduced(assumption)).
% 4.42/4.59 tff(4164,assumption,(node67(s4)), introduced(assumption)).
% 4.42/4.59 tff(4165,plain,
% 4.42/4.59 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | ((~node67(s4)) | m_processor_v_writable(c_p1, s4))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s4)) | m_processor_v_writable(c_p1, s4))),
% 4.42/4.59 inference(rewrite,[status(thm)],[])).
% 4.42/4.59 tff(4166,plain,
% 4.42/4.59 ((m_processor_v_writable(c_p1, s4) | (~node67(s4))) <=> ((~node67(s4)) | m_processor_v_writable(c_p1, s4))),
% 4.42/4.59 inference(rewrite,[status(thm)],[])).
% 4.42/4.59 tff(4167,plain,
% 4.42/4.59 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s4) | (~node67(s4)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | ((~node67(s4)) | m_processor_v_writable(c_p1, s4)))),
% 4.42/4.59 inference(monotonicity,[status(thm)],[4166])).
% 4.42/4.59 tff(4168,plain,
% 4.42/4.59 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s4) | (~node67(s4)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s4)) | m_processor_v_writable(c_p1, s4))),
% 4.42/4.59 inference(transitivity,[status(thm)],[4167, 4165])).
% 4.42/4.59 tff(4169,plain,
% 4.42/4.59 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s4) | (~node67(s4)))),
% 4.42/4.59 inference(quant_inst,[status(thm)],[])).
% 4.42/4.59 tff(4170,plain,
% 4.42/4.59 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s4)) | m_processor_v_writable(c_p1, s4)),
% 4.42/4.59 inference(modus_ponens,[status(thm)],[4169, 4168])).
% 4.42/4.59 tff(4171,plain,
% 4.42/4.59 ($false),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4170, 2827, 4164, 4163])).
% 4.42/4.59 tff(4172,plain,((~node67(s4)) | m_processor_v_writable(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.59 tff(4173,plain,
% 4.42/4.59 (m_processor_v_writable(c_p1, s4)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4172, 4162])).
% 4.42/4.59 tff(4174,assumption,(m_processor_v_writable(c_p1, s4)), introduced(assumption)).
% 4.42/4.59 tff(4175,assumption,(~node56(c_p1, s4)), introduced(assumption)).
% 4.42/4.59 tff(4176,plain,
% 4.42/4.59 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s4)) | node56(c_p1, s4))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s4)) | node56(c_p1, s4))),
% 4.42/4.59 inference(rewrite,[status(thm)],[])).
% 4.42/4.59 tff(4177,plain,
% 4.42/4.59 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s4)) | node56(c_p1, s4))),
% 4.42/4.59 inference(quant_inst,[status(thm)],[])).
% 4.42/4.59 tff(4178,plain,
% 4.42/4.59 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s4)) | node56(c_p1, s4)),
% 4.42/4.59 inference(modus_ponens,[status(thm)],[4177, 4176])).
% 4.42/4.59 tff(4179,plain,
% 4.42/4.59 ($false),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4178, 2270, 4175, 4174])).
% 4.42/4.59 tff(4180,plain,((~m_processor_v_writable(c_p1, s4)) | node56(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.59 tff(4181,plain,
% 4.42/4.59 (node56(c_p1, s4)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4180, 4173])).
% 4.42/4.59 tff(4182,assumption,(node56(c_p1, s4)), introduced(assumption)).
% 4.42/4.59 tff(4183,assumption,(~m_processor_v_state(c_p1, s4, c_owned)), introduced(assumption)).
% 4.42/4.59 tff(4184,plain,
% 4.42/4.59 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s4, c_owned) | (~node56(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p1, s4, c_owned) | (~node56(c_p1, s4)))),
% 4.42/4.59 inference(rewrite,[status(thm)],[])).
% 4.42/4.59 tff(4185,plain,
% 4.42/4.59 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s4, c_owned) | (~node56(c_p1, s4)))),
% 4.42/4.59 inference(quant_inst,[status(thm)],[])).
% 4.42/4.59 tff(4186,plain,
% 4.42/4.59 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p1, s4, c_owned) | (~node56(c_p1, s4))),
% 4.42/4.59 inference(modus_ponens,[status(thm)],[4185, 4184])).
% 4.42/4.59 tff(4187,plain,
% 4.42/4.59 ($false),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4186, 2255, 4183, 4182])).
% 4.42/4.59 tff(4188,plain,((~node56(c_p1, s4)) | m_processor_v_state(c_p1, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.59 tff(4189,plain,
% 4.42/4.59 (m_processor_v_state(c_p1, s4, c_owned)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4188, 4181])).
% 4.42/4.59 tff(4190,plain,
% 4.42/4.59 (m_processor_v_master(c_p0, s2)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3778, 2221])).
% 4.42/4.59 tff(4191,plain,
% 4.42/4.59 (~m_processor_v_master(c_p1, s2)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[3951, 815, 4190])).
% 4.42/4.59 tff(4192,plain,
% 4.42/4.59 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s4, c_invalid)) | (~m_processor_v_state(c_p1, s4, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s4, c_invalid)) | (~m_processor_v_state(c_p1, s4, c_owned)))),
% 4.42/4.59 inference(rewrite,[status(thm)],[])).
% 4.42/4.59 tff(4193,plain,
% 4.42/4.59 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s4, c_invalid)) | (~m_processor_v_state(c_p1, s4, c_owned)))),
% 4.42/4.59 inference(quant_inst,[status(thm)],[])).
% 4.42/4.59 tff(4194,plain,
% 4.42/4.59 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s4, c_invalid)) | (~m_processor_v_state(c_p1, s4, c_owned))),
% 4.42/4.59 inference(modus_ponens,[status(thm)],[4193, 4192])).
% 4.42/4.59 tff(4195,plain,
% 4.42/4.59 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 4.42/4.59 inference(unit_resolution,[status(thm)],[4194, 228, 4189])).
% 4.42/4.59 tff(4196,plain,
% 4.42/4.59 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_state(c_p1, s4, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_state(c_p1, s4, c_shared)))),
% 4.42/4.59 inference(rewrite,[status(thm)],[])).
% 4.42/4.59 tff(4197,plain,
% 4.42/4.59 (((~m_processor_v_state(c_p1, s4, c_shared)) | (~m_processor_v_state(c_p1, s4, c_owned))) <=> ((~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_state(c_p1, s4, c_shared)))),
% 4.42/4.59 inference(rewrite,[status(thm)],[])).
% 4.42/4.59 tff(4198,plain,
% 4.42/4.59 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s4, c_shared)) | (~m_processor_v_state(c_p1, s4, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_state(c_p1, s4, c_shared))))),
% 4.42/4.59 inference(monotonicity,[status(thm)],[4197])).
% 4.42/4.59 tff(4199,plain,
% 4.42/4.59 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s4, c_shared)) | (~m_processor_v_state(c_p1, s4, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_state(c_p1, s4, c_shared)))),
% 4.42/4.60 inference(transitivity,[status(thm)],[4198, 4196])).
% 4.42/4.60 tff(4200,plain,
% 4.42/4.60 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s4, c_shared)) | (~m_processor_v_state(c_p1, s4, c_owned)))),
% 4.42/4.60 inference(quant_inst,[status(thm)],[])).
% 4.42/4.60 tff(4201,plain,
% 4.42/4.60 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_state(c_p1, s4, c_shared))),
% 4.42/4.60 inference(modus_ponens,[status(thm)],[4200, 4199])).
% 4.42/4.60 tff(4202,plain,
% 4.42/4.60 (~m_processor_v_state(c_p1, s4, c_shared)),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4201, 1373, 4189])).
% 4.42/4.60 tff(4203,assumption,(~m_processor_v_state(c_p1, s4, c_shared)), introduced(assumption)).
% 4.42/4.60 tff(4204,assumption,(~m_processor_v_state(c_p1, s4, c_invalid)), introduced(assumption)).
% 4.42/4.60 tff(4205,assumption,(m_processor_v_state(c_p1, s3, c_shared)), introduced(assumption)).
% 4.42/4.60 tff(4206,assumption,(~m_processor_v_abort(c_p1, s3)), introduced(assumption)).
% 4.42/4.60 tff(4207,assumption,(~node38(c_p1, s3, s4)), introduced(assumption)).
% 4.42/4.60 tff(4208,plain,
% 4.42/4.60 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s3, s4)) | node38(c_p1, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s3, s4)) | node38(c_p1, s3, s4))),
% 4.42/4.60 inference(rewrite,[status(thm)],[])).
% 4.42/4.60 tff(4209,plain,
% 4.42/4.60 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s3, s4)) | node38(c_p1, s3, s4))),
% 4.42/4.60 inference(quant_inst,[status(thm)],[])).
% 4.42/4.60 tff(4210,plain,
% 4.42/4.60 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s3, s4)) | node38(c_p1, s3, s4)),
% 4.42/4.60 inference(modus_ponens,[status(thm)],[4209, 4208])).
% 4.42/4.60 tff(4211,plain,
% 4.42/4.60 ($false),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4210, 61, 2339, 4207])).
% 4.42/4.60 tff(4212,plain,(node38(c_p1, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.60 tff(4213,plain,
% 4.42/4.60 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_abort(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | node35(c_p1, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_abort(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | node35(c_p1, s3))),
% 4.42/4.60 inference(rewrite,[status(thm)],[])).
% 4.42/4.60 tff(4214,plain,
% 4.42/4.60 (((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_master(c_p1, s3) | node35(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3)) <=> (m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_abort(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | node35(c_p1, s3))),
% 4.42/4.60 inference(rewrite,[status(thm)],[])).
% 4.42/4.60 tff(4215,plain,
% 4.42/4.60 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_master(c_p1, s3) | node35(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_abort(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | node35(c_p1, s3)))),
% 4.42/4.60 inference(monotonicity,[status(thm)],[4214])).
% 4.42/4.60 tff(4216,plain,
% 4.42/4.60 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_master(c_p1, s3) | node35(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_abort(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | node35(c_p1, s3))),
% 4.42/4.60 inference(transitivity,[status(thm)],[4215, 4213])).
% 4.42/4.60 tff(4217,plain,
% 4.42/4.60 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_master(c_p1, s3) | node35(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))),
% 4.42/4.60 inference(quant_inst,[status(thm)],[])).
% 4.42/4.60 tff(4218,plain,
% 4.42/4.60 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_abort(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | node35(c_p1, s3)),
% 4.42/4.60 inference(modus_ponens,[status(thm)],[4217, 4216])).
% 4.42/4.60 tff(4219,plain,
% 4.42/4.60 (m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_abort(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | node35(c_p1, s3)),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4218, 1948, 4212])).
% 4.42/4.60 tff(4220,plain,
% 4.42/4.60 (node35(c_p1, s3)),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4219, 4206, 4205, 4204, 2432])).
% 4.42/4.60 tff(4221,plain,
% 4.42/4.60 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s3, c_invalidate)) | (~node35(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s3, c_invalidate)) | (~node35(c_p1, s3)))),
% 4.42/4.60 inference(rewrite,[status(thm)],[])).
% 4.42/4.60 tff(4222,plain,
% 4.42/4.60 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s3, c_invalidate)) | (~node35(c_p1, s3)))),
% 4.42/4.60 inference(quant_inst,[status(thm)],[])).
% 4.42/4.60 tff(4223,plain,
% 4.42/4.60 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s3, c_invalidate)) | (~node35(c_p1, s3))),
% 4.42/4.60 inference(modus_ponens,[status(thm)],[4222, 4221])).
% 4.42/4.60 tff(4224,plain,
% 4.42/4.60 (~m_processor_v_CMD(c_p1, s3, c_invalidate)),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4223, 2031, 4220])).
% 4.42/4.60 tff(4225,plain,
% 4.42/4.60 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~node35(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~node35(c_p1, s3)))),
% 4.42/4.60 inference(rewrite,[status(thm)],[])).
% 4.42/4.60 tff(4226,plain,
% 4.42/4.60 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~node35(c_p1, s3)))),
% 4.42/4.60 inference(quant_inst,[status(thm)],[])).
% 4.42/4.60 tff(4227,plain,
% 4.42/4.60 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~node35(c_p1, s3))),
% 4.42/4.60 inference(modus_ponens,[status(thm)],[4226, 4225])).
% 4.42/4.60 tff(4228,plain,
% 4.42/4.60 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4227, 1966, 4220])).
% 4.42/4.60 tff(4229,plain,
% 4.42/4.60 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_state(c_p1, s4, c_shared) | (~node38(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_state(c_p1, s4, c_shared) | (~node38(c_p1, s3, s4)))),
% 4.42/4.60 inference(rewrite,[status(thm)],[])).
% 4.42/4.60 tff(4230,plain,
% 4.42/4.60 (((~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3)) <=> (m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_state(c_p1, s4, c_shared) | (~node38(c_p1, s3, s4)))),
% 4.42/4.60 inference(rewrite,[status(thm)],[])).
% 4.42/4.60 tff(4231,plain,
% 4.42/4.60 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_state(c_p1, s4, c_shared) | (~node38(c_p1, s3, s4))))),
% 4.42/4.60 inference(monotonicity,[status(thm)],[4230])).
% 4.42/4.60 tff(4232,plain,
% 4.42/4.60 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_state(c_p1, s4, c_shared) | (~node38(c_p1, s3, s4)))),
% 4.42/4.60 inference(transitivity,[status(thm)],[4231, 4229])).
% 4.42/4.60 tff(4233,plain,
% 4.42/4.60 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))),
% 4.42/4.60 inference(quant_inst,[status(thm)],[])).
% 4.42/4.60 tff(4234,plain,
% 4.42/4.60 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_state(c_p1, s4, c_shared) | (~node38(c_p1, s3, s4))),
% 4.42/4.60 inference(modus_ponens,[status(thm)],[4233, 4232])).
% 4.42/4.60 tff(4235,plain,
% 4.42/4.60 (m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_state(c_p1, s4, c_shared)),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4234, 2049, 4212])).
% 4.42/4.60 tff(4236,plain,
% 4.42/4.60 (node36(c_p1, s3)),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4235, 4206, 4205, 2432, 4204, 4203])).
% 4.42/4.60 tff(4237,plain,
% 4.42/4.60 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | ((~node36(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_invalidate))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (~node36(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_invalidate))),
% 4.42/4.60 inference(rewrite,[status(thm)],[])).
% 4.42/4.60 tff(4238,plain,
% 4.42/4.60 ((m_processor_v_CMD(c_p1, s3, c_invalidate) | (~node36(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned)) <=> ((~node36(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_invalidate))),
% 4.42/4.60 inference(rewrite,[status(thm)],[])).
% 4.42/4.60 tff(4239,plain,
% 4.42/4.60 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s3, c_invalidate) | (~node36(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | ((~node36(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_invalidate)))),
% 4.42/4.60 inference(monotonicity,[status(thm)],[4238])).
% 4.42/4.60 tff(4240,plain,
% 4.42/4.60 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s3, c_invalidate) | (~node36(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (~node36(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_invalidate))),
% 4.42/4.60 inference(transitivity,[status(thm)],[4239, 4237])).
% 4.42/4.60 tff(4241,plain,
% 4.42/4.60 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s3, c_invalidate) | (~node36(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned))),
% 4.42/4.60 inference(quant_inst,[status(thm)],[])).
% 4.42/4.60 tff(4242,plain,
% 4.42/4.60 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (~node36(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_invalidate)),
% 4.42/4.60 inference(modus_ponens,[status(thm)],[4241, 4240])).
% 4.42/4.60 tff(4243,plain,
% 4.42/4.60 ($false),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4242, 2067, 4236, 4228, 4224])).
% 4.42/4.60 tff(4244,plain,(m_processor_v_abort(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_state(c_p1, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.60 tff(4245,plain,
% 4.42/4.60 (m_processor_v_abort(c_p1, s3)),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4244, 4205, 4204, 2432, 4203])).
% 4.42/4.60 tff(4246,assumption,(node32(c_p1, s3, s4)), introduced(assumption)).
% 4.42/4.60 tff(4247,plain,
% 4.42/4.60 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | (~node32(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | (~node32(c_p1, s3, s4)))),
% 4.42/4.60 inference(rewrite,[status(thm)],[])).
% 4.42/4.60 tff(4248,plain,
% 4.42/4.60 (((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared)) <=> ((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | (~node32(c_p1, s3, s4)))),
% 4.42/4.60 inference(rewrite,[status(thm)],[])).
% 4.42/4.60 tff(4249,plain,
% 4.42/4.60 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | (~node32(c_p1, s3, s4))))),
% 4.42/4.60 inference(monotonicity,[status(thm)],[4248])).
% 4.42/4.60 tff(4250,plain,
% 4.42/4.60 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | (~node32(c_p1, s3, s4)))),
% 4.42/4.60 inference(transitivity,[status(thm)],[4249, 4247])).
% 4.42/4.60 tff(4251,plain,
% 4.42/4.60 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared))),
% 4.42/4.60 inference(quant_inst,[status(thm)],[])).
% 4.42/4.60 tff(4252,plain,
% 4.42/4.60 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | (~node32(c_p1, s3, s4))),
% 4.42/4.60 inference(modus_ponens,[status(thm)],[4251, 4250])).
% 4.42/4.60 tff(4253,plain,
% 4.42/4.60 ($false),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4252, 28, 4205, 4203, 4246])).
% 4.42/4.60 tff(4254,plain,((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.60 tff(4255,plain,
% 4.42/4.60 (~node32(c_p1, s3, s4)),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4254, 4205, 4203])).
% 4.42/4.60 tff(4256,plain,
% 4.42/4.60 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s3, s4) | (~node38(c_p1, s3, s4)) | (~m_processor_v_abort(c_p1, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p1, s3, s4) | (~node38(c_p1, s3, s4)) | (~m_processor_v_abort(c_p1, s3)))),
% 4.42/4.60 inference(rewrite,[status(thm)],[])).
% 4.42/4.60 tff(4257,plain,
% 4.42/4.60 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s3, s4) | (~node38(c_p1, s3, s4)) | (~m_processor_v_abort(c_p1, s3)))),
% 4.42/4.60 inference(quant_inst,[status(thm)],[])).
% 4.42/4.60 tff(4258,plain,
% 4.42/4.60 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p1, s3, s4) | (~node38(c_p1, s3, s4)) | (~m_processor_v_abort(c_p1, s3))),
% 4.42/4.60 inference(modus_ponens,[status(thm)],[4257, 4256])).
% 4.42/4.60 tff(4259,plain,
% 4.42/4.60 (node32(c_p1, s3, s4) | (~m_processor_v_abort(c_p1, s3))),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4258, 76, 4212])).
% 4.42/4.60 tff(4260,plain,
% 4.42/4.60 ($false),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4259, 4255, 4245])).
% 4.42/4.60 tff(4261,plain,((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_master(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.60 tff(4262,plain,
% 4.42/4.60 (m_processor_v_master(c_p1, s3)),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4261, 4205, 4204, 4203])).
% 4.42/4.60 tff(4263,plain,
% 4.42/4.60 (~m_processor_v_master(c_p0, s3)),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[2430, 815, 4262])).
% 4.42/4.60 tff(4264,plain,
% 4.42/4.60 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_waiting(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_waiting(c_p0, s3))),
% 4.42/4.60 inference(rewrite,[status(thm)],[])).
% 4.42/4.60 tff(4265,plain,
% 4.42/4.60 ((m_processor_v_master(c_p0, s3) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_reply_h_waiting(c_p0, s3)) <=> ((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_waiting(c_p0, s3))),
% 4.42/4.60 inference(rewrite,[status(thm)],[])).
% 4.42/4.60 tff(4266,plain,
% 4.42/4.60 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s3) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_reply_h_waiting(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_waiting(c_p0, s3)))),
% 4.42/4.60 inference(monotonicity,[status(thm)],[4265])).
% 4.42/4.60 tff(4267,plain,
% 4.42/4.60 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s3) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_reply_h_waiting(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_waiting(c_p0, s3))),
% 4.42/4.60 inference(transitivity,[status(thm)],[4266, 4264])).
% 4.42/4.60 tff(4268,plain,
% 4.42/4.60 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s3) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_reply_h_waiting(c_p0, s3))),
% 4.42/4.60 inference(quant_inst,[status(thm)],[])).
% 4.42/4.60 tff(4269,plain,
% 4.42/4.60 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_waiting(c_p0, s3)),
% 4.42/4.60 inference(modus_ponens,[status(thm)],[4268, 4267])).
% 4.42/4.60 tff(4270,plain,
% 4.42/4.60 (m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_waiting(c_p0, s3)),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4269, 3962, 4153])).
% 4.42/4.60 tff(4271,plain,
% 4.42/4.60 (m_processor_v_reply_h_waiting(c_p0, s3)),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4270, 4263])).
% 4.42/4.60 tff(4272,assumption,(m_processor_v_reply_h_waiting(c_p0, s3)), introduced(assumption)).
% 4.42/4.60 tff(4273,assumption,(node6(s3)), introduced(assumption)).
% 4.42/4.60 tff(4274,plain,
% 4.42/4.60 (^[X: $i] : refl(((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X))) <=> ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X))))),
% 4.42/4.60 inference(bind,[status(th)],[])).
% 4.42/4.60 tff(4275,plain,
% 4.42/4.60 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X))) <=> ![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))),
% 4.42/4.60 inference(quant_intro,[status(thm)],[4274])).
% 4.42/4.60 tff(4276,plain,
% 4.42/4.60 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X))) <=> ![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))),
% 4.42/4.60 inference(rewrite,[status(thm)],[])).
% 4.42/4.60 tff(4277,plain,
% 4.42/4.60 (^[X: $i] : rewrite(((~m_processor_v_reply_h_waiting(c_p0, X)) | (~node6(X))) <=> ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X))))),
% 4.42/4.60 inference(bind,[status(th)],[])).
% 4.42/4.60 tff(4278,plain,
% 4.42/4.60 (![X: $i] : ((~m_processor_v_reply_h_waiting(c_p0, X)) | (~node6(X))) <=> ![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))),
% 4.42/4.60 inference(quant_intro,[status(thm)],[4277])).
% 4.42/4.60 tff(4279,axiom,(![X: $i] : ((~m_processor_v_reply_h_waiting(c_p0, X)) | (~node6(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_79')).
% 4.42/4.60 tff(4280,plain,
% 4.42/4.60 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))),
% 4.42/4.60 inference(modus_ponens,[status(thm)],[4279, 4278])).
% 4.42/4.60 tff(4281,plain,
% 4.42/4.60 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))),
% 4.42/4.60 inference(modus_ponens,[status(thm)],[4280, 4276])).
% 4.42/4.60 tff(4282,plain,(
% 4.42/4.60 ![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))),
% 4.42/4.60 inference(skolemize,[status(sab)],[4281])).
% 4.42/4.60 tff(4283,plain,
% 4.42/4.60 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))),
% 4.42/4.60 inference(modus_ponens,[status(thm)],[4282, 4275])).
% 4.42/4.60 tff(4284,plain,
% 4.42/4.60 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | ((~node6(s3)) | (~m_processor_v_reply_h_waiting(c_p0, s3)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | (~node6(s3)) | (~m_processor_v_reply_h_waiting(c_p0, s3)))),
% 4.42/4.60 inference(rewrite,[status(thm)],[])).
% 4.42/4.60 tff(4285,plain,
% 4.42/4.60 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | ((~node6(s3)) | (~m_processor_v_reply_h_waiting(c_p0, s3)))),
% 4.42/4.60 inference(quant_inst,[status(thm)],[])).
% 4.42/4.60 tff(4286,plain,
% 4.42/4.60 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | (~node6(s3)) | (~m_processor_v_reply_h_waiting(c_p0, s3))),
% 4.42/4.60 inference(modus_ponens,[status(thm)],[4285, 4284])).
% 4.42/4.60 tff(4287,plain,
% 4.42/4.60 ($false),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4286, 4283, 4273, 4272])).
% 4.42/4.60 tff(4288,plain,((~m_processor_v_reply_h_waiting(c_p0, s3)) | (~node6(s3))), inference(lemma,lemma(discharge,[]))).
% 4.42/4.60 tff(4289,plain,
% 4.42/4.60 (~node6(s3)),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4288, 4271])).
% 4.42/4.60 tff(4290,assumption,(~node6(s3)), introduced(assumption)).
% 4.42/4.60 tff(4291,assumption,(~m_main_v_REPLY_h_WAITING(s3)), introduced(assumption)).
% 4.42/4.60 tff(4292,plain,
% 4.42/4.60 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | (m_main_v_REPLY_h_WAITING(s3) | node6(s3))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | m_main_v_REPLY_h_WAITING(s3) | node6(s3))),
% 4.42/4.60 inference(rewrite,[status(thm)],[])).
% 4.42/4.60 tff(4293,plain,
% 4.42/4.60 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | (m_main_v_REPLY_h_WAITING(s3) | node6(s3))),
% 4.42/4.60 inference(quant_inst,[status(thm)],[])).
% 4.42/4.60 tff(4294,plain,
% 4.42/4.60 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | m_main_v_REPLY_h_WAITING(s3) | node6(s3)),
% 4.42/4.60 inference(modus_ponens,[status(thm)],[4293, 4292])).
% 4.42/4.60 tff(4295,plain,
% 4.42/4.60 ($false),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4294, 3924, 4291, 4290])).
% 4.42/4.60 tff(4296,plain,(node6(s3) | m_main_v_REPLY_h_WAITING(s3)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.60 tff(4297,plain,
% 4.42/4.60 (m_main_v_REPLY_h_WAITING(s3)),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4296, 4289])).
% 4.42/4.60 tff(4298,assumption,(~m_processor_v_REPLY_h_WAITING(c_p1, s3)), introduced(assumption)).
% 4.42/4.60 tff(4299,assumption,(m_main_v_REPLY_h_WAITING(s3)), introduced(assumption)).
% 4.42/4.60 tff(4300,plain,
% 4.42/4.60 (^[X: $i] : refl(((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X)) <=> ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X)))),
% 4.42/4.60 inference(bind,[status(th)],[])).
% 4.42/4.60 tff(4301,plain,
% 4.42/4.60 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))),
% 4.42/4.60 inference(quant_intro,[status(thm)],[4300])).
% 4.42/4.60 tff(4302,plain,
% 4.42/4.60 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))),
% 4.42/4.60 inference(rewrite,[status(thm)],[])).
% 4.42/4.60 tff(4303,plain,
% 4.42/4.60 (^[X: $i] : rewrite((m_processor_v_REPLY_h_WAITING(c_p1, X) | (~m_main_v_REPLY_h_WAITING(X))) <=> ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X)))),
% 4.42/4.60 inference(bind,[status(th)],[])).
% 4.42/4.60 tff(4304,plain,
% 4.42/4.60 (![X: $i] : (m_processor_v_REPLY_h_WAITING(c_p1, X) | (~m_main_v_REPLY_h_WAITING(X))) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))),
% 4.42/4.60 inference(quant_intro,[status(thm)],[4303])).
% 4.42/4.60 tff(4305,axiom,(![X: $i] : (m_processor_v_REPLY_h_WAITING(c_p1, X) | (~m_main_v_REPLY_h_WAITING(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_61')).
% 4.42/4.60 tff(4306,plain,
% 4.42/4.60 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))),
% 4.42/4.60 inference(modus_ponens,[status(thm)],[4305, 4304])).
% 4.42/4.60 tff(4307,plain,
% 4.42/4.60 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))),
% 4.42/4.60 inference(modus_ponens,[status(thm)],[4306, 4302])).
% 4.42/4.60 tff(4308,plain,(
% 4.42/4.60 ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))),
% 4.42/4.60 inference(skolemize,[status(sab)],[4307])).
% 4.42/4.60 tff(4309,plain,
% 4.42/4.60 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))),
% 4.42/4.60 inference(modus_ponens,[status(thm)],[4308, 4301])).
% 4.42/4.60 tff(4310,plain,
% 4.42/4.60 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s3)) | m_processor_v_REPLY_h_WAITING(c_p1, s3))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s3)) | m_processor_v_REPLY_h_WAITING(c_p1, s3))),
% 4.42/4.60 inference(rewrite,[status(thm)],[])).
% 4.42/4.60 tff(4311,plain,
% 4.42/4.60 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s3)) | m_processor_v_REPLY_h_WAITING(c_p1, s3))),
% 4.42/4.60 inference(quant_inst,[status(thm)],[])).
% 4.42/4.60 tff(4312,plain,
% 4.42/4.60 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s3)) | m_processor_v_REPLY_h_WAITING(c_p1, s3)),
% 4.42/4.60 inference(modus_ponens,[status(thm)],[4311, 4310])).
% 4.42/4.60 tff(4313,plain,
% 4.42/4.60 ($false),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4312, 4309, 4299, 4298])).
% 4.42/4.60 tff(4314,plain,(m_processor_v_REPLY_h_WAITING(c_p1, s3) | (~m_main_v_REPLY_h_WAITING(s3))), inference(lemma,lemma(discharge,[]))).
% 4.42/4.60 tff(4315,plain,
% 4.42/4.60 (m_processor_v_REPLY_h_WAITING(c_p1, s3)),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4314, 4297])).
% 4.42/4.60 tff(4316,plain,
% 4.42/4.60 (~m_processor_v_abort(c_p1, s3)),
% 4.42/4.60 inference(unit_resolution,[status(thm)],[4259, 4255])).
% 4.42/4.60 tff(4317,assumption,(~node60(c_p1, s3)), introduced(assumption)).
% 4.42/4.60 tff(4318,plain,
% 4.42/4.60 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s3) | node60(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s3) | node60(c_p1, s3))),
% 4.42/4.60 inference(rewrite,[status(thm)],[])).
% 4.42/4.60 tff(4319,plain,
% 4.42/4.60 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s3) | node60(c_p1, s3))),
% 4.42/4.61 inference(quant_inst,[status(thm)],[])).
% 4.42/4.61 tff(4320,plain,
% 4.42/4.61 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s3) | node60(c_p1, s3)),
% 4.42/4.61 inference(modus_ponens,[status(thm)],[4319, 4318])).
% 4.42/4.61 tff(4321,plain,
% 4.42/4.61 ($false),
% 4.42/4.61 inference(unit_resolution,[status(thm)],[4320, 491, 4206, 4317])).
% 4.42/4.61 tff(4322,plain,(m_processor_v_abort(c_p1, s3) | node60(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.61 tff(4323,plain,
% 4.42/4.61 (node60(c_p1, s3)),
% 4.42/4.61 inference(unit_resolution,[status(thm)],[4322, 4316])).
% 4.42/4.61 tff(4324,plain,
% 4.42/4.61 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p1, s3)) | (~node60(c_p1, s3)) | node59(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s3)) | (~node60(c_p1, s3)) | node59(c_p1, s3))),
% 4.42/4.61 inference(rewrite,[status(thm)],[])).
% 4.42/4.61 tff(4325,plain,
% 4.42/4.61 ((node59(c_p1, s3) | (~node60(c_p1, s3)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s3))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p1, s3)) | (~node60(c_p1, s3)) | node59(c_p1, s3))),
% 4.42/4.61 inference(rewrite,[status(thm)],[])).
% 4.42/4.61 tff(4326,plain,
% 4.42/4.61 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s3) | (~node60(c_p1, s3)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p1, s3)) | (~node60(c_p1, s3)) | node59(c_p1, s3)))),
% 4.42/4.61 inference(monotonicity,[status(thm)],[4325])).
% 4.42/4.61 tff(4327,plain,
% 4.42/4.61 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s3) | (~node60(c_p1, s3)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s3)) | (~node60(c_p1, s3)) | node59(c_p1, s3))),
% 4.42/4.61 inference(transitivity,[status(thm)],[4326, 4324])).
% 4.42/4.61 tff(4328,plain,
% 4.42/4.61 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s3) | (~node60(c_p1, s3)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s3)))),
% 4.42/4.61 inference(quant_inst,[status(thm)],[])).
% 4.42/4.61 tff(4329,plain,
% 4.42/4.61 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s3)) | (~node60(c_p1, s3)) | node59(c_p1, s3)),
% 4.42/4.61 inference(modus_ponens,[status(thm)],[4328, 4327])).
% 4.42/4.61 tff(4330,plain,
% 4.42/4.61 (node59(c_p1, s3)),
% 4.42/4.61 inference(unit_resolution,[status(thm)],[4329, 3889, 4323, 4315])).
% 4.42/4.61 tff(4331,assumption,(node59(c_p1, s3)), introduced(assumption)).
% 4.42/4.61 tff(4332,assumption,(m_processor_v_CMD(c_p1, s3, c_read_h_owned)), introduced(assumption)).
% 4.42/4.61 tff(4333,plain,
% 4.42/4.61 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~node59(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~node59(c_p1, s3)))),
% 4.42/4.61 inference(rewrite,[status(thm)],[])).
% 4.42/4.61 tff(4334,plain,
% 4.42/4.61 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~node59(c_p1, s3)))),
% 4.42/4.61 inference(quant_inst,[status(thm)],[])).
% 4.42/4.61 tff(4335,plain,
% 4.42/4.61 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~node59(c_p1, s3))),
% 4.42/4.61 inference(modus_ponens,[status(thm)],[4334, 4333])).
% 4.42/4.61 tff(4336,plain,
% 4.42/4.61 ($false),
% 4.42/4.61 inference(unit_resolution,[status(thm)],[4335, 3868, 4332, 4331])).
% 4.42/4.61 tff(4337,plain,((~node59(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.42/4.61 tff(4338,plain,
% 4.42/4.61 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 4.42/4.61 inference(unit_resolution,[status(thm)],[4337, 4330])).
% 4.42/4.61 tff(4339,plain,
% 4.42/4.61 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node34(c_p1, s3, s4) | (~node38(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node34(c_p1, s3, s4) | (~node38(c_p1, s3, s4)))),
% 4.42/4.61 inference(rewrite,[status(thm)],[])).
% 4.42/4.61 tff(4340,plain,
% 4.42/4.61 ((node34(c_p1, s3, s4) | (~m_processor_v_master(c_p1, s3)) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3)) <=> ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node34(c_p1, s3, s4) | (~node38(c_p1, s3, s4)))),
% 4.42/4.61 inference(rewrite,[status(thm)],[])).
% 4.42/4.61 tff(4341,plain,
% 4.42/4.61 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s3, s4) | (~m_processor_v_master(c_p1, s3)) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node34(c_p1, s3, s4) | (~node38(c_p1, s3, s4))))),
% 4.42/4.61 inference(monotonicity,[status(thm)],[4340])).
% 4.42/4.61 tff(4342,plain,
% 4.42/4.61 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s3, s4) | (~m_processor_v_master(c_p1, s3)) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node34(c_p1, s3, s4) | (~node38(c_p1, s3, s4)))),
% 4.42/4.61 inference(transitivity,[status(thm)],[4341, 4339])).
% 4.42/4.61 tff(4343,plain,
% 4.42/4.61 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s3, s4) | (~m_processor_v_master(c_p1, s3)) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))),
% 4.42/4.61 inference(quant_inst,[status(thm)],[])).
% 4.42/4.61 tff(4344,plain,
% 4.42/4.61 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node34(c_p1, s3, s4) | (~node38(c_p1, s3, s4))),
% 4.42/4.61 inference(modus_ponens,[status(thm)],[4343, 4342])).
% 4.42/4.61 tff(4345,plain,
% 4.42/4.61 ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node34(c_p1, s3, s4)),
% 4.42/4.61 inference(unit_resolution,[status(thm)],[4344, 640, 4212])).
% 4.42/4.61 tff(4346,plain,
% 4.42/4.61 (node34(c_p1, s3, s4)),
% 4.42/4.61 inference(unit_resolution,[status(thm)],[4345, 4262, 4316])).
% 4.42/4.61 tff(4347,assumption,(m_processor_v_CMD(c_p1, s3, c_read_h_shared)), introduced(assumption)).
% 4.42/4.61 tff(4348,assumption,(node34(c_p1, s3, s4)), introduced(assumption)).
% 4.42/4.61 tff(4349,plain,
% 4.42/4.61 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))),
% 4.42/4.61 inference(rewrite,[status(thm)],[])).
% 4.42/4.61 tff(4350,plain,
% 4.42/4.61 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))),
% 4.42/4.61 inference(quant_inst,[status(thm)],[])).
% 4.42/4.61 tff(4351,plain,
% 4.42/4.61 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared))),
% 4.42/4.61 inference(modus_ponens,[status(thm)],[4350, 4349])).
% 4.42/4.61 tff(4352,plain,
% 4.42/4.61 ($false),
% 4.42/4.61 inference(unit_resolution,[status(thm)],[4351, 1393, 4203, 4348, 4347])).
% 4.42/4.61 tff(4353,plain,((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 4.42/4.61 tff(4354,plain,
% 4.42/4.61 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 4.42/4.61 inference(unit_resolution,[status(thm)],[4353, 4346, 4203])).
% 4.42/4.61 tff(4355,plain,
% 4.42/4.61 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)))),
% 4.42/4.61 inference(rewrite,[status(thm)],[])).
% 4.42/4.61 tff(4356,plain,
% 4.42/4.61 (((~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_state(c_p1, s4, c_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid))) <=> (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)))),
% 4.42/4.61 inference(rewrite,[status(thm)],[])).
% 4.42/4.61 tff(4357,plain,
% 4.42/4.61 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_state(c_p1, s4, c_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid))))),
% 4.42/4.61 inference(monotonicity,[status(thm)],[4356])).
% 4.42/4.61 tff(4358,plain,
% 4.42/4.61 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_state(c_p1, s4, c_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)))),
% 4.42/4.61 inference(transitivity,[status(thm)],[4357, 4355])).
% 4.42/4.61 tff(4359,plain,
% 4.42/4.61 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_state(c_p1, s4, c_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)))),
% 4.42/4.61 inference(quant_inst,[status(thm)],[])).
% 4.42/4.61 tff(4360,plain,
% 4.42/4.61 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid))),
% 4.42/4.61 inference(modus_ponens,[status(thm)],[4359, 4358])).
% 4.42/4.61 tff(4361,plain,
% 4.42/4.61 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid))),
% 4.42/4.61 inference(unit_resolution,[status(thm)],[4360, 1209, 4204, 4346, 4354])).
% 4.42/4.61 tff(4362,plain,
% 4.42/4.61 (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)),
% 4.42/4.61 inference(unit_resolution,[status(thm)],[4361, 4338])).
% 4.42/4.61 tff(4363,plain,
% 4.42/4.61 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)))),
% 4.42/4.61 inference(rewrite,[status(thm)],[])).
% 4.42/4.61 tff(4364,plain,
% 4.42/4.61 (((~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)))),
% 4.42/4.61 inference(rewrite,[status(thm)],[])).
% 4.42/4.61 tff(4365,plain,
% 4.42/4.61 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))))),
% 4.42/4.61 inference(monotonicity,[status(thm)],[4364])).
% 4.42/4.61 tff(4366,plain,
% 4.42/4.61 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)))),
% 4.42/4.61 inference(transitivity,[status(thm)],[4365, 4363])).
% 4.42/4.61 tff(4367,plain,
% 4.42/4.61 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)))),
% 4.42/4.61 inference(quant_inst,[status(thm)],[])).
% 4.42/4.61 tff(4368,plain,
% 4.42/4.61 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))),
% 4.42/4.61 inference(modus_ponens,[status(thm)],[4367, 4366])).
% 4.42/4.61 tff(4369,plain,
% 4.42/4.61 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))),
% 4.42/4.61 inference(unit_resolution,[status(thm)],[4368, 1415, 4204, 4346, 4354])).
% 4.42/4.61 tff(4370,plain,
% 4.42/4.61 (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)),
% 4.42/4.61 inference(unit_resolution,[status(thm)],[4369, 4362, 4338])).
% 4.42/4.61 tff(4371,plain,
% 4.42/4.61 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | (~node33(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | (~node33(c_p1, s3, s4)))),
% 4.42/4.61 inference(rewrite,[status(thm)],[])).
% 4.42/4.61 tff(4372,plain,
% 4.42/4.61 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | (~node33(c_p1, s3, s4)))),
% 4.42/4.61 inference(quant_inst,[status(thm)],[])).
% 4.42/4.61 tff(4373,plain,
% 4.42/4.61 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | (~node33(c_p1, s3, s4))),
% 4.42/4.61 inference(modus_ponens,[status(thm)],[4372, 4371])).
% 4.42/4.61 tff(4374,plain,
% 4.42/4.61 (~node33(c_p1, s3, s4)),
% 4.42/4.61 inference(unit_resolution,[status(thm)],[4373, 1231, 4205, 4203])).
% 4.42/4.61 tff(4375,assumption,(~m_processor_v_CMD(c_p1, s3, c_read_h_owned)), introduced(assumption)).
% 4.42/4.61 tff(4376,assumption,(~m_processor_v_CMD(c_p1, s3, c_write_h_shared)), introduced(assumption)).
% 4.42/4.61 tff(4377,plain,
% 4.42/4.61 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 4.42/4.61 inference(unit_resolution,[status(thm)],[4351, 1393, 4203, 4348])).
% 4.42/4.61 tff(4378,assumption,(~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)), introduced(assumption)).
% 4.42/4.61 tff(4379,plain,
% 4.42/4.61 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))),
% 4.42/4.61 inference(unit_resolution,[status(thm)],[4368, 1415, 4204, 4348])).
% 4.42/4.61 tff(4380,plain,
% 4.42/4.61 (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)),
% 4.42/4.61 inference(unit_resolution,[status(thm)],[4379, 4375, 4378, 4377])).
% 4.42/4.61 tff(4381,assumption,(~node33(c_p1, s3, s4)), introduced(assumption)).
% 4.42/4.61 tff(4382,plain,
% 4.42/4.61 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~node34(c_p1, s3, s4)) | node33(c_p1, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~node34(c_p1, s3, s4)) | node33(c_p1, s3, s4))),
% 4.42/4.61 inference(rewrite,[status(thm)],[])).
% 4.42/4.61 tff(4383,plain,
% 4.42/4.61 ((node33(c_p1, s3, s4) | (~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~node34(c_p1, s3, s4)) | node33(c_p1, s3, s4))),
% 4.42/4.61 inference(rewrite,[status(thm)],[])).
% 4.42/4.61 tff(4384,plain,
% 4.42/4.61 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s3, s4) | (~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~node34(c_p1, s3, s4)) | node33(c_p1, s3, s4)))),
% 4.42/4.61 inference(monotonicity,[status(thm)],[4383])).
% 4.42/4.61 tff(4385,plain,
% 4.42/4.61 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s3, s4) | (~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~node34(c_p1, s3, s4)) | node33(c_p1, s3, s4))),
% 4.42/4.61 inference(transitivity,[status(thm)],[4384, 4382])).
% 4.42/4.61 tff(4386,plain,
% 4.42/4.61 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s3, s4) | (~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))),
% 4.42/4.61 inference(quant_inst,[status(thm)],[])).
% 4.42/4.61 tff(4387,plain,
% 4.42/4.61 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~node34(c_p1, s3, s4)) | node33(c_p1, s3, s4)),
% 4.42/4.61 inference(modus_ponens,[status(thm)],[4386, 4385])).
% 4.42/4.61 tff(4388,plain,
% 4.42/4.61 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~node34(c_p1, s3, s4))),
% 4.42/4.61 inference(unit_resolution,[status(thm)],[4387, 1265, 4381])).
% 4.42/4.61 tff(4389,plain,
% 4.42/4.61 (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)),
% 4.42/4.61 inference(unit_resolution,[status(thm)],[4388, 4380, 4348, 4378, 4377, 4376, 4375])).
% 4.42/4.61 tff(4390,plain,
% 4.42/4.61 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | (~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | (~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)))),
% 4.42/4.61 inference(rewrite,[status(thm)],[])).
% 4.42/4.61 tff(4391,plain,
% 4.42/4.61 (((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | (~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)))),
% 4.42/4.61 inference(rewrite,[status(thm)],[])).
% 4.42/4.61 tff(4392,plain,
% 4.42/4.61 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | (~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))))),
% 4.42/4.62 inference(monotonicity,[status(thm)],[4391])).
% 4.42/4.62 tff(4393,plain,
% 4.42/4.62 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | (~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)))),
% 4.42/4.62 inference(transitivity,[status(thm)],[4392, 4390])).
% 4.42/4.62 tff(4394,plain,
% 4.42/4.62 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)))),
% 4.42/4.62 inference(quant_inst,[status(thm)],[])).
% 4.42/4.62 tff(4395,plain,
% 4.42/4.62 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | (~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))),
% 4.42/4.62 inference(modus_ponens,[status(thm)],[4394, 4393])).
% 4.42/4.62 tff(4396,plain,
% 4.42/4.62 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))),
% 4.42/4.62 inference(unit_resolution,[status(thm)],[4395, 1486, 4203, 4348])).
% 4.42/4.62 tff(4397,plain,
% 4.42/4.62 ($false),
% 4.42/4.62 inference(unit_resolution,[status(thm)],[4396, 4389, 4380, 4378, 4377, 4376, 4375])).
% 4.42/4.62 tff(4398,plain,(m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | node33(c_p1, s3, s4) | m_processor_v_state(c_p1, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.62 tff(4399,plain,
% 4.42/4.62 (m_processor_v_CMD(c_p1, s3, c_write_h_shared)),
% 4.42/4.62 inference(unit_resolution,[status(thm)],[4398, 4362, 4203, 4374, 4346, 4204, 4338])).
% 4.42/4.62 tff(4400,plain,
% 4.42/4.62 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)))),
% 4.42/4.62 inference(rewrite,[status(thm)],[])).
% 4.42/4.62 tff(4401,plain,
% 4.42/4.62 (((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared))) <=> (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)))),
% 4.42/4.62 inference(rewrite,[status(thm)],[])).
% 4.42/4.62 tff(4402,plain,
% 4.42/4.62 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared))))),
% 4.42/4.62 inference(monotonicity,[status(thm)],[4401])).
% 4.42/4.62 tff(4403,plain,
% 4.42/4.62 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)))),
% 4.42/4.62 inference(transitivity,[status(thm)],[4402, 4400])).
% 4.42/4.62 tff(4404,plain,
% 4.42/4.62 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)))),
% 4.42/4.62 inference(quant_inst,[status(thm)],[])).
% 4.42/4.62 tff(4405,plain,
% 4.42/4.62 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared))),
% 4.42/4.62 inference(modus_ponens,[status(thm)],[4404, 4403])).
% 4.42/4.62 tff(4406,plain,
% 4.42/4.62 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared))),
% 4.42/4.62 inference(unit_resolution,[status(thm)],[4405, 1444, 4203, 4346, 4354])).
% 4.42/4.62 tff(4407,plain,
% 4.42/4.62 ($false),
% 4.42/4.62 inference(unit_resolution,[status(thm)],[4406, 4399, 4370, 4338, 4362])).
% 4.42/4.62 tff(4408,plain,((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~m_processor_v_waiting(c_p0, s3))), inference(lemma,lemma(discharge,[]))).
% 4.42/4.62 tff(4409,plain,
% 4.42/4.62 (~m_processor_v_state(c_p1, s3, c_shared)),
% 4.42/4.62 inference(unit_resolution,[status(thm)],[4408, 4202, 4195, 4152])).
% 4.42/4.62 tff(4410,assumption,(~m_processor_v_state(c_p1, s3, c_invalid)), introduced(assumption)).
% 4.42/4.62 tff(4411,assumption,(~m_processor_v_abort(c_p1, s2)), introduced(assumption)).
% 4.42/4.62 tff(4412,assumption,(~node38(c_p1, s2, s3)), introduced(assumption)).
% 4.42/4.62 tff(4413,plain,
% 4.42/4.62 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s2, s3)) | node38(c_p1, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s2, s3)) | node38(c_p1, s2, s3))),
% 4.42/4.62 inference(rewrite,[status(thm)],[])).
% 4.42/4.62 tff(4414,plain,
% 4.42/4.62 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s2, s3)) | node38(c_p1, s2, s3))),
% 4.42/4.62 inference(quant_inst,[status(thm)],[])).
% 4.42/4.62 tff(4415,plain,
% 4.42/4.62 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s2, s3)) | node38(c_p1, s2, s3)),
% 4.42/4.62 inference(modus_ponens,[status(thm)],[4414, 4413])).
% 4.42/4.62 tff(4416,plain,
% 4.42/4.62 ($false),
% 4.42/4.62 inference(unit_resolution,[status(thm)],[4415, 61, 3677, 4412])).
% 4.42/4.62 tff(4417,plain,(node38(c_p1, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.62 tff(4418,plain,
% 4.42/4.62 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p1, s2) | m_processor_v_master(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s2) | m_processor_v_master(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))),
% 4.42/4.62 inference(rewrite,[status(thm)],[])).
% 4.42/4.62 tff(4419,plain,
% 4.42/4.62 (((~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_master(c_p1, s2) | node35(c_p1, s2) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2)) <=> (node35(c_p1, s2) | m_processor_v_master(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))),
% 4.42/4.62 inference(rewrite,[status(thm)],[])).
% 4.42/4.62 tff(4420,plain,
% 4.42/4.62 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_master(c_p1, s2) | node35(c_p1, s2) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p1, s2) | m_processor_v_master(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2)))),
% 4.42/4.62 inference(monotonicity,[status(thm)],[4419])).
% 4.42/4.62 tff(4421,plain,
% 4.42/4.62 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_master(c_p1, s2) | node35(c_p1, s2) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s2) | m_processor_v_master(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))),
% 4.42/4.62 inference(transitivity,[status(thm)],[4420, 4418])).
% 4.42/4.62 tff(4422,plain,
% 4.42/4.62 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_master(c_p1, s2) | node35(c_p1, s2) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))),
% 4.42/4.62 inference(quant_inst,[status(thm)],[])).
% 4.42/4.62 tff(4423,plain,
% 4.42/4.62 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s2) | m_processor_v_master(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2)),
% 4.42/4.62 inference(modus_ponens,[status(thm)],[4422, 4421])).
% 4.42/4.62 tff(4424,plain,
% 4.42/4.62 (node35(c_p1, s2) | m_processor_v_master(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_invalid) | m_processor_v_abort(c_p1, s2)),
% 4.42/4.62 inference(unit_resolution,[status(thm)],[4423, 1948, 4417])).
% 4.42/4.62 tff(4425,plain,
% 4.42/4.62 (node35(c_p1, s2)),
% 4.42/4.62 inference(unit_resolution,[status(thm)],[4424, 4411, 2, 4410, 1856])).
% 4.42/4.62 tff(4426,plain,
% 4.42/4.62 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node35(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node35(c_p1, s2)))),
% 4.42/4.62 inference(rewrite,[status(thm)],[])).
% 4.42/4.62 tff(4427,plain,
% 4.42/4.62 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node35(c_p1, s2)))),
% 4.42/4.62 inference(quant_inst,[status(thm)],[])).
% 4.42/4.62 tff(4428,plain,
% 4.42/4.62 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node35(c_p1, s2))),
% 4.42/4.62 inference(modus_ponens,[status(thm)],[4427, 4426])).
% 4.42/4.62 tff(4429,plain,
% 4.42/4.62 (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 4.42/4.62 inference(unit_resolution,[status(thm)],[4428, 1966, 4425])).
% 4.42/4.62 tff(4430,plain,
% 4.42/4.62 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s2, c_invalidate)) | (~node35(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s2, c_invalidate)) | (~node35(c_p1, s2)))),
% 4.42/4.62 inference(rewrite,[status(thm)],[])).
% 4.42/4.62 tff(4431,plain,
% 4.42/4.62 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s2, c_invalidate)) | (~node35(c_p1, s2)))),
% 4.42/4.62 inference(quant_inst,[status(thm)],[])).
% 4.42/4.62 tff(4432,plain,
% 4.42/4.62 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s2, c_invalidate)) | (~node35(c_p1, s2))),
% 4.42/4.62 inference(modus_ponens,[status(thm)],[4431, 4430])).
% 4.42/4.62 tff(4433,plain,
% 4.42/4.62 (~m_processor_v_CMD(c_p1, s2, c_invalidate)),
% 4.42/4.62 inference(unit_resolution,[status(thm)],[4432, 2031, 4425])).
% 4.42/4.62 tff(4434,plain,
% 4.42/4.62 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))),
% 4.42/4.62 inference(rewrite,[status(thm)],[])).
% 4.42/4.62 tff(4435,plain,
% 4.42/4.62 (((~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2)) <=> (m_processor_v_master(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))),
% 4.42/4.62 inference(rewrite,[status(thm)],[])).
% 4.42/4.62 tff(4436,plain,
% 4.42/4.62 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2)))),
% 4.42/4.62 inference(monotonicity,[status(thm)],[4435])).
% 4.42/4.62 tff(4437,plain,
% 4.42/4.62 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))),
% 4.42/4.62 inference(transitivity,[status(thm)],[4436, 4434])).
% 4.42/4.62 tff(4438,plain,
% 4.42/4.62 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))),
% 4.42/4.62 inference(quant_inst,[status(thm)],[])).
% 4.42/4.62 tff(4439,plain,
% 4.42/4.62 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2)),
% 4.42/4.62 inference(modus_ponens,[status(thm)],[4438, 4437])).
% 4.42/4.62 tff(4440,plain,
% 4.42/4.62 (m_processor_v_master(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | m_processor_v_abort(c_p1, s2)),
% 4.42/4.62 inference(unit_resolution,[status(thm)],[4439, 2049, 4417])).
% 4.42/4.62 tff(4441,plain,
% 4.42/4.62 (node36(c_p1, s2)),
% 4.42/4.62 inference(unit_resolution,[status(thm)],[4440, 4411, 1, 1856, 2, 4410])).
% 4.42/4.62 tff(4442,plain,
% 4.42/4.62 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | ((~node36(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_invalidate) | m_processor_v_CMD(c_p1, s2, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (~node36(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_invalidate) | m_processor_v_CMD(c_p1, s2, c_read_h_owned))),
% 4.42/4.62 inference(rewrite,[status(thm)],[])).
% 4.42/4.62 tff(4443,plain,
% 4.42/4.62 ((m_processor_v_CMD(c_p1, s2, c_invalidate) | (~node36(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_owned)) <=> ((~node36(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_invalidate) | m_processor_v_CMD(c_p1, s2, c_read_h_owned))),
% 4.42/4.62 inference(rewrite,[status(thm)],[])).
% 4.42/4.62 tff(4444,plain,
% 4.42/4.62 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s2, c_invalidate) | (~node36(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | ((~node36(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_invalidate) | m_processor_v_CMD(c_p1, s2, c_read_h_owned)))),
% 4.42/4.62 inference(monotonicity,[status(thm)],[4443])).
% 4.42/4.62 tff(4445,plain,
% 4.42/4.62 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s2, c_invalidate) | (~node36(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (~node36(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_invalidate) | m_processor_v_CMD(c_p1, s2, c_read_h_owned))),
% 4.42/4.62 inference(transitivity,[status(thm)],[4444, 4442])).
% 4.42/4.62 tff(4446,plain,
% 4.42/4.62 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s2, c_invalidate) | (~node36(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_owned))),
% 4.42/4.62 inference(quant_inst,[status(thm)],[])).
% 4.42/4.62 tff(4447,plain,
% 4.42/4.62 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (~node36(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_invalidate) | m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 4.42/4.62 inference(modus_ponens,[status(thm)],[4446, 4445])).
% 4.42/4.62 tff(4448,plain,
% 4.42/4.62 (m_processor_v_CMD(c_p1, s2, c_invalidate) | m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 4.42/4.62 inference(unit_resolution,[status(thm)],[4447, 2067, 4441])).
% 4.42/4.62 tff(4449,plain,
% 4.42/4.62 ($false),
% 4.42/4.62 inference(unit_resolution,[status(thm)],[4448, 4433, 4429])).
% 4.42/4.62 tff(4450,plain,(m_processor_v_abort(c_p1, s2) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.62 tff(4451,plain,
% 4.42/4.62 (m_processor_v_abort(c_p1, s2)),
% 4.42/4.62 inference(unit_resolution,[status(thm)],[4450, 1856, 4410, 2, 1])).
% 4.42/4.62 tff(4452,plain,
% 4.42/4.62 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~m_processor_v_abort(c_p1, s2)) | node32(c_p1, s2, s3) | (~node38(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p1, s2)) | node32(c_p1, s2, s3) | (~node38(c_p1, s2, s3)))),
% 4.42/4.62 inference(rewrite,[status(thm)],[])).
% 4.42/4.62 tff(4453,plain,
% 4.42/4.62 ((node32(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | (~m_processor_v_abort(c_p1, s2))) <=> ((~m_processor_v_abort(c_p1, s2)) | node32(c_p1, s2, s3) | (~node38(c_p1, s2, s3)))),
% 4.42/4.62 inference(rewrite,[status(thm)],[])).
% 4.42/4.62 tff(4454,plain,
% 4.42/4.62 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | (~m_processor_v_abort(c_p1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~m_processor_v_abort(c_p1, s2)) | node32(c_p1, s2, s3) | (~node38(c_p1, s2, s3))))),
% 4.42/4.63 inference(monotonicity,[status(thm)],[4453])).
% 4.42/4.63 tff(4455,plain,
% 4.42/4.63 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | (~m_processor_v_abort(c_p1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p1, s2)) | node32(c_p1, s2, s3) | (~node38(c_p1, s2, s3)))),
% 4.42/4.63 inference(transitivity,[status(thm)],[4454, 4452])).
% 4.42/4.63 tff(4456,plain,
% 4.42/4.63 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | (~m_processor_v_abort(c_p1, s2)))),
% 4.42/4.63 inference(quant_inst,[status(thm)],[])).
% 4.42/4.63 tff(4457,plain,
% 4.42/4.63 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p1, s2)) | node32(c_p1, s2, s3) | (~node38(c_p1, s2, s3))),
% 4.42/4.63 inference(modus_ponens,[status(thm)],[4456, 4455])).
% 4.42/4.63 tff(4458,plain,
% 4.42/4.63 ((~m_processor_v_abort(c_p1, s2)) | node32(c_p1, s2, s3)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4457, 76, 4417])).
% 4.42/4.63 tff(4459,plain,
% 4.42/4.63 (node32(c_p1, s2, s3)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4458, 4451])).
% 4.42/4.63 tff(4460,plain,
% 4.42/4.63 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared) | (~node32(c_p1, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared) | (~node32(c_p1, s2, s3)))),
% 4.42/4.63 inference(rewrite,[status(thm)],[])).
% 4.42/4.63 tff(4461,plain,
% 4.42/4.63 (((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared)) <=> ((~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared) | (~node32(c_p1, s2, s3)))),
% 4.42/4.63 inference(rewrite,[status(thm)],[])).
% 4.42/4.63 tff(4462,plain,
% 4.42/4.63 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared) | (~node32(c_p1, s2, s3))))),
% 4.42/4.63 inference(monotonicity,[status(thm)],[4461])).
% 4.42/4.63 tff(4463,plain,
% 4.42/4.63 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared) | (~node32(c_p1, s2, s3)))),
% 4.42/4.63 inference(transitivity,[status(thm)],[4462, 4460])).
% 4.42/4.63 tff(4464,plain,
% 4.42/4.63 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared))),
% 4.42/4.63 inference(quant_inst,[status(thm)],[])).
% 4.42/4.63 tff(4465,plain,
% 4.42/4.63 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared) | (~node32(c_p1, s2, s3))),
% 4.42/4.63 inference(modus_ponens,[status(thm)],[4464, 4463])).
% 4.42/4.63 tff(4466,plain,
% 4.42/4.63 ($false),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4465, 28, 1856, 1, 4459])).
% 4.42/4.63 tff(4467,plain,((~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | m_processor_v_master(c_p1, s2)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.63 tff(4468,plain,
% 4.42/4.63 (m_processor_v_state(c_p1, s3, c_invalid)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4467, 4409, 1856, 4191])).
% 4.42/4.63 tff(4469,assumption,(m_processor_v_state(c_p1, s3, c_invalid)), introduced(assumption)).
% 4.42/4.63 tff(4470,assumption,(m_processor_v_state(c_p1, s3, c_owned)), introduced(assumption)).
% 4.42/4.63 tff(4471,plain,
% 4.42/4.63 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)))),
% 4.42/4.63 inference(rewrite,[status(thm)],[])).
% 4.42/4.63 tff(4472,plain,
% 4.42/4.63 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)))),
% 4.42/4.63 inference(quant_inst,[status(thm)],[])).
% 4.42/4.63 tff(4473,plain,
% 4.42/4.63 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned))),
% 4.42/4.63 inference(modus_ponens,[status(thm)],[4472, 4471])).
% 4.42/4.63 tff(4474,plain,
% 4.42/4.63 ($false),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4473, 228, 4470, 4469])).
% 4.42/4.63 tff(4475,plain,((~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.42/4.63 tff(4476,plain,
% 4.42/4.63 (~m_processor_v_state(c_p1, s3, c_owned)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4475, 4468])).
% 4.42/4.63 tff(4477,plain,
% 4.42/4.63 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s3, c_shared) | (~node36(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s3, c_shared) | (~node36(c_p1, s3)))),
% 4.42/4.63 inference(rewrite,[status(thm)],[])).
% 4.42/4.63 tff(4478,plain,
% 4.42/4.63 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s3, c_shared) | (~node36(c_p1, s3)))),
% 4.42/4.63 inference(quant_inst,[status(thm)],[])).
% 4.42/4.63 tff(4479,plain,
% 4.42/4.63 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s3, c_shared) | (~node36(c_p1, s3))),
% 4.42/4.63 inference(modus_ponens,[status(thm)],[4478, 4477])).
% 4.42/4.63 tff(4480,plain,
% 4.42/4.63 (~node36(c_p1, s3)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4479, 118, 1])).
% 4.42/4.63 tff(4481,assumption,(m_processor_v_state(c_p1, s4, c_owned)), introduced(assumption)).
% 4.42/4.63 tff(4482,assumption,(~m_processor_v_state(c_p1, s3, c_owned)), introduced(assumption)).
% 4.42/4.63 tff(4483,plain,
% 4.42/4.63 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node37(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node37(c_p1, s3, s4)))),
% 4.42/4.63 inference(rewrite,[status(thm)],[])).
% 4.42/4.63 tff(4484,plain,
% 4.42/4.63 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node37(c_p1, s3, s4)))),
% 4.42/4.63 inference(quant_inst,[status(thm)],[])).
% 4.42/4.63 tff(4485,plain,
% 4.42/4.63 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node37(c_p1, s3, s4))),
% 4.42/4.63 inference(modus_ponens,[status(thm)],[4484, 4483])).
% 4.42/4.63 tff(4486,plain,
% 4.42/4.63 (~node37(c_p1, s3, s4)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4485, 1612, 4482, 4481])).
% 4.42/4.63 tff(4487,plain,
% 4.42/4.63 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | node37(c_p1, s3, s4) | (~node38(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | node37(c_p1, s3, s4) | (~node38(c_p1, s3, s4)))),
% 4.42/4.63 inference(rewrite,[status(thm)],[])).
% 4.42/4.63 tff(4488,plain,
% 4.42/4.63 ((m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_master(c_p1, s3) | node37(c_p1, s3, s4) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3)) <=> (m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | node37(c_p1, s3, s4) | (~node38(c_p1, s3, s4)))),
% 4.42/4.63 inference(rewrite,[status(thm)],[])).
% 4.42/4.63 tff(4489,plain,
% 4.42/4.63 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_master(c_p1, s3) | node37(c_p1, s3, s4) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | node37(c_p1, s3, s4) | (~node38(c_p1, s3, s4))))),
% 4.42/4.63 inference(monotonicity,[status(thm)],[4488])).
% 4.42/4.63 tff(4490,plain,
% 4.42/4.63 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_master(c_p1, s3) | node37(c_p1, s3, s4) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | node37(c_p1, s3, s4) | (~node38(c_p1, s3, s4)))),
% 4.42/4.63 inference(transitivity,[status(thm)],[4489, 4487])).
% 4.42/4.63 tff(4491,plain,
% 4.42/4.63 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_master(c_p1, s3) | node37(c_p1, s3, s4) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))),
% 4.42/4.63 inference(quant_inst,[status(thm)],[])).
% 4.42/4.63 tff(4492,plain,
% 4.42/4.63 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | node37(c_p1, s3, s4) | (~node38(c_p1, s3, s4))),
% 4.42/4.63 inference(modus_ponens,[status(thm)],[4491, 4490])).
% 4.42/4.63 tff(4493,plain,
% 4.42/4.63 (m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | node37(c_p1, s3, s4)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4492, 134, 4212])).
% 4.42/4.63 tff(4494,plain,
% 4.42/4.63 (m_processor_v_abort(c_p1, s3)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4493, 4486, 1, 4480, 2432])).
% 4.42/4.63 tff(4495,plain,
% 4.42/4.63 (node32(c_p1, s3, s4)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4259, 4494])).
% 4.42/4.63 tff(4496,plain,
% 4.42/4.63 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4194, 228, 4481])).
% 4.42/4.63 tff(4497,plain,
% 4.42/4.63 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid) | (~node32(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid) | (~node32(c_p1, s3, s4)))),
% 4.42/4.63 inference(rewrite,[status(thm)],[])).
% 4.42/4.63 tff(4498,plain,
% 4.42/4.63 (((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid)) <=> ((~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid) | (~node32(c_p1, s3, s4)))),
% 4.42/4.63 inference(rewrite,[status(thm)],[])).
% 4.42/4.63 tff(4499,plain,
% 4.42/4.63 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid) | (~node32(c_p1, s3, s4))))),
% 4.42/4.63 inference(monotonicity,[status(thm)],[4498])).
% 4.42/4.63 tff(4500,plain,
% 4.42/4.63 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid) | (~node32(c_p1, s3, s4)))),
% 4.42/4.63 inference(transitivity,[status(thm)],[4499, 4497])).
% 4.42/4.63 tff(4501,plain,
% 4.42/4.63 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid))),
% 4.42/4.63 inference(quant_inst,[status(thm)],[])).
% 4.42/4.63 tff(4502,plain,
% 4.42/4.63 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid) | (~node32(c_p1, s3, s4))),
% 4.42/4.63 inference(modus_ponens,[status(thm)],[4501, 4500])).
% 4.42/4.63 tff(4503,plain,
% 4.42/4.63 ($false),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4502, 28, 4469, 4496, 4495])).
% 4.42/4.63 tff(4504,plain,((~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.63 tff(4505,plain,
% 4.42/4.63 (m_processor_v_master(c_p1, s3)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4504, 4476, 4409, 4468, 4189])).
% 4.42/4.63 tff(4506,plain,
% 4.42/4.63 (~m_processor_v_master(c_p0, s3)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[2430, 815, 4505])).
% 4.42/4.63 tff(4507,plain,
% 4.42/4.63 (m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_waiting(c_p0, s3)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4269, 3962, 4152])).
% 4.42/4.63 tff(4508,plain,
% 4.42/4.63 (m_processor_v_reply_h_waiting(c_p0, s3)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4507, 4506])).
% 4.42/4.63 tff(4509,plain,
% 4.42/4.63 (~node6(s3)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4288, 4508])).
% 4.42/4.63 tff(4510,plain,
% 4.42/4.63 (m_main_v_REPLY_h_WAITING(s3)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4296, 4509])).
% 4.42/4.63 tff(4511,plain,
% 4.42/4.63 (m_processor_v_REPLY_h_WAITING(c_p1, s3)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4314, 4510])).
% 4.42/4.63 tff(4512,plain,
% 4.42/4.63 ($false),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4502, 28, 4469, 4204, 4246])).
% 4.42/4.63 tff(4513,plain,((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.63 tff(4514,plain,
% 4.42/4.63 (~node32(c_p1, s3, s4)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4513, 4468, 4195])).
% 4.42/4.63 tff(4515,plain,
% 4.42/4.63 (~m_processor_v_abort(c_p1, s3)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4259, 4514])).
% 4.42/4.63 tff(4516,plain,
% 4.42/4.63 (node60(c_p1, s3)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4322, 4515])).
% 4.42/4.63 tff(4517,plain,
% 4.42/4.63 (node59(c_p1, s3)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4329, 3889, 4516, 4511])).
% 4.42/4.63 tff(4518,plain,
% 4.42/4.63 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4337, 4517])).
% 4.42/4.63 tff(4519,plain,
% 4.42/4.63 (node34(c_p1, s3, s4)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4345, 4505, 4515])).
% 4.42/4.63 tff(4520,plain,
% 4.42/4.63 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4353, 4519, 4202])).
% 4.42/4.63 tff(4521,plain,
% 4.42/4.63 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid))),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4360, 1209, 4195, 4519, 4520])).
% 4.42/4.63 tff(4522,plain,
% 4.42/4.63 (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4521, 4518])).
% 4.42/4.63 tff(4523,plain,
% 4.42/4.63 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid) | (~node33(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid) | (~node33(c_p1, s3, s4)))),
% 4.42/4.63 inference(rewrite,[status(thm)],[])).
% 4.42/4.63 tff(4524,plain,
% 4.42/4.63 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid) | (~node33(c_p1, s3, s4)))),
% 4.42/4.63 inference(quant_inst,[status(thm)],[])).
% 4.42/4.63 tff(4525,plain,
% 4.42/4.63 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid) | (~node33(c_p1, s3, s4))),
% 4.42/4.63 inference(modus_ponens,[status(thm)],[4524, 4523])).
% 4.42/4.63 tff(4526,plain,
% 4.42/4.63 (~node33(c_p1, s3, s4)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4525, 1231, 4468, 4195])).
% 4.42/4.63 tff(4527,plain,
% 4.42/4.63 (m_processor_v_CMD(c_p1, s3, c_write_h_shared)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4398, 4522, 4202, 4526, 4519, 4195, 4518])).
% 4.42/4.63 tff(4528,plain,
% 4.42/4.63 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4368, 1415, 4195, 4519, 4520])).
% 4.42/4.63 tff(4529,plain,
% 4.42/4.63 (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4528, 4522, 4518])).
% 4.42/4.63 tff(4530,plain,
% 4.42/4.63 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared))),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4405, 1444, 4202, 4519, 4520])).
% 4.42/4.63 tff(4531,plain,
% 4.42/4.63 ($false),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4530, 4529, 4527, 4518, 4522])).
% 4.42/4.63 tff(4532,plain,(m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p1, s2, c_shared)) | node67(s2)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.63 tff(4533,plain,
% 4.42/4.63 (m_processor_v_state(c_p0, s2, c_owned)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4532, 1786, 4087])).
% 4.42/4.63 tff(4534,plain,
% 4.42/4.63 (~m_processor_v_state(c_p0, s2, c_shared)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[1935, 1373, 4533])).
% 4.42/4.63 tff(4535,plain,
% 4.42/4.63 ($false),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[1832, 228, 2239, 1769])).
% 4.42/4.63 tff(4536,plain,((~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.42/4.63 tff(4537,plain,
% 4.42/4.63 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4536, 1769])).
% 4.42/4.63 tff(4538,plain,
% 4.42/4.63 (~m_processor_v_state(c_p0, s1, c_owned)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[1626, 1517])).
% 4.42/4.63 tff(4539,plain,
% 4.42/4.63 (m_processor_v_master(c_p0, s1)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[2088, 4538, 4537, 2000])).
% 4.42/4.63 tff(4540,plain,
% 4.42/4.63 (~m_processor_v_master(c_p1, s1)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[1850, 4539])).
% 4.42/4.63 tff(4541,plain,
% 4.42/4.63 (m_processor_v_master(c_p0, s1)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[2088, 4538, 2000, 2005])).
% 4.42/4.63 tff(4542,plain,
% 4.42/4.63 (m_processor_v_state(c_p0, s1, c_invalid)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[1564, 1517])).
% 4.42/4.63 tff(4543,plain,
% 4.42/4.63 (~node32(c_p0, s1, s2)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[2196, 4542, 2005])).
% 4.42/4.63 tff(4544,plain,
% 4.42/4.63 (~m_processor_v_abort(c_p0, s1)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[1828, 4543])).
% 4.42/4.63 tff(4545,plain,
% 4.42/4.63 (node34(c_p0, s1, s2)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[2098, 4544, 4541])).
% 4.42/4.63 tff(4546,plain,
% 4.42/4.63 (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[2109, 4545, 2000])).
% 4.42/4.63 tff(4547,plain,
% 4.42/4.63 (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[2137, 4545, 4546, 2005])).
% 4.42/4.63 tff(4548,plain,
% 4.42/4.63 (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[2144, 1415, 2005, 4545, 4547, 4546, 2090])).
% 4.42/4.63 tff(4549,plain,
% 4.42/4.63 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s1, c_invalid)) | (~node33(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~node33(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_invalid))),
% 4.42/4.63 inference(rewrite,[status(thm)],[])).
% 4.42/4.63 tff(4550,plain,
% 4.42/4.63 (((~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node33(c_p0, s1, s2))) <=> ((~m_processor_v_state(c_p0, s1, c_invalid)) | (~node33(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_invalid))),
% 4.42/4.63 inference(rewrite,[status(thm)],[])).
% 4.42/4.63 tff(4551,plain,
% 4.42/4.63 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node33(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s1, c_invalid)) | (~node33(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_invalid)))),
% 4.42/4.63 inference(monotonicity,[status(thm)],[4550])).
% 4.42/4.63 tff(4552,plain,
% 4.42/4.63 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node33(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~node33(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_invalid))),
% 4.42/4.63 inference(transitivity,[status(thm)],[4551, 4549])).
% 4.42/4.63 tff(4553,plain,
% 4.42/4.63 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node33(c_p0, s1, s2)))),
% 4.42/4.63 inference(quant_inst,[status(thm)],[])).
% 4.42/4.63 tff(4554,plain,
% 4.42/4.63 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~node33(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_invalid)),
% 4.42/4.63 inference(modus_ponens,[status(thm)],[4553, 4552])).
% 4.42/4.63 tff(4555,plain,
% 4.42/4.63 (~node33(c_p0, s1, s2)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4554, 1231, 4542, 2005])).
% 4.42/4.63 tff(4556,plain,
% 4.42/4.63 (m_processor_v_CMD(c_p0, s1, c_write_h_shared)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[2181, 4555, 2090, 2005, 2000, 4545])).
% 4.42/4.63 tff(4557,plain,
% 4.42/4.63 (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s1, c_write_h_shared))),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[2188, 1444, 2000, 4545, 4547, 4546, 2090])).
% 4.42/4.63 tff(4558,plain,
% 4.42/4.63 ($false),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4557, 4556, 4548])).
% 4.42/4.63 tff(4559,plain,(m_processor_v_master(c_p0, s0) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.63 tff(4560,plain,
% 4.42/4.63 (m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4559, 1517, 4537, 2000])).
% 4.42/4.63 tff(4561,plain,
% 4.42/4.63 (m_main_v_CMD(s1, c_read_h_owned)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[1998, 4560])).
% 4.42/4.63 tff(4562,plain,
% 4.42/4.63 (m_processor_v_CMD(c_p1, s1, c_read_h_owned)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[1986, 4561])).
% 4.42/4.63 tff(4563,plain,
% 4.42/4.63 (~node35(c_p1, s1)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[1971, 4562])).
% 4.42/4.63 tff(4564,plain,
% 4.42/4.63 (m_processor_v_cmd(c_p1, s1, c_idle)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[3347, 4540])).
% 4.42/4.63 tff(4565,plain,
% 4.42/4.63 (m_processor_v_master(c_p0, s1)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[2088, 4538, 1833, 2000])).
% 4.42/4.63 tff(4566,plain,
% 4.42/4.63 (~node32(c_p0, s1, s2)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[2196, 4542, 1833])).
% 4.42/4.63 tff(4567,plain,
% 4.42/4.63 (~m_processor_v_abort(c_p0, s1)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[1828, 4566])).
% 4.42/4.63 tff(4568,plain,
% 4.42/4.63 (node34(c_p0, s1, s2)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[2098, 4567, 4565])).
% 4.42/4.63 tff(4569,plain,
% 4.42/4.63 (~node33(c_p0, s1, s2)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[2205, 1654, 4538, 1769])).
% 4.42/4.63 tff(4570,plain,
% 4.42/4.63 (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[2109, 4568, 2000])).
% 4.42/4.63 tff(4571,plain,
% 4.42/4.63 (~m_main_v_CMD(s1, c_read_h_shared)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[3219, 2697, 1993, 4570])).
% 4.42/4.63 tff(4572,plain,
% 4.42/4.63 (~node17(s1)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[3284, 1572, 4565])).
% 4.42/4.63 tff(4573,plain,
% 4.42/4.63 (~m_memory_v_master(c_m, s1)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[3294, 4572])).
% 4.42/4.63 tff(4574,plain,
% 4.42/4.63 (~node29(c_m, s1)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[3302, 4573])).
% 4.42/4.63 tff(4575,plain,
% 4.42/4.63 (m_memory_v_cmd(c_m, s1, c_idle)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[3310, 4574])).
% 4.42/4.63 tff(4576,plain,
% 4.42/4.63 (~node16(s1)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[3351, 2472, 4565])).
% 4.42/4.63 tff(4577,plain,
% 4.42/4.63 (~m_processor_v_master(c_p2, s1)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[3359, 4576])).
% 4.42/4.63 tff(4578,plain,
% 4.42/4.63 (m_processor_v_cmd(c_p2, s1, c_idle)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[3400, 4577])).
% 4.42/4.63 tff(4579,plain,
% 4.42/4.63 (node8(s1)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[3413, 4578, 3404, 4575])).
% 4.42/4.63 tff(4580,plain,
% 4.42/4.63 (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[3427, 2716, 4579, 4571])).
% 4.42/4.63 tff(4581,plain,
% 4.42/4.63 ((~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[3440, 1029, 4565])).
% 4.42/4.63 tff(4582,plain,
% 4.42/4.63 (m_processor_v_cmd(c_p0, s1, c_read_h_owned)),
% 4.42/4.63 inference(unit_resolution,[status(thm)],[4581, 4580, 4542])).
% 4.42/4.63 tff(4583,plain,
% 4.42/4.63 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))) <=> ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))))),
% 4.42/4.64 inference(bind,[status(th)],[])).
% 4.42/4.64 tff(4584,plain,
% 4.42/4.64 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 4.42/4.64 inference(quant_intro,[status(thm)],[4583])).
% 4.42/4.64 tff(4585,plain,
% 4.42/4.64 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 4.42/4.64 inference(rewrite,[status(thm)],[])).
% 4.42/4.64 tff(4586,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_18')).
% 4.42/4.64 tff(4587,plain,
% 4.42/4.64 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4586, 4585])).
% 4.42/4.64 tff(4588,plain,(
% 4.42/4.64 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 4.42/4.64 inference(skolemize,[status(sab)],[4587])).
% 4.42/4.64 tff(4589,plain,
% 4.42/4.64 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4588, 4584])).
% 4.42/4.64 tff(4590,plain,
% 4.42/4.64 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_shared)))),
% 4.42/4.64 inference(rewrite,[status(thm)],[])).
% 4.42/4.64 tff(4591,plain,
% 4.42/4.64 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_shared)))),
% 4.42/4.64 inference(quant_inst,[status(thm)],[])).
% 4.42/4.64 tff(4592,plain,
% 4.42/4.64 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_shared))),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4591, 4590])).
% 4.42/4.64 tff(4593,plain,
% 4.42/4.64 (~m_processor_v_cmd(c_p0, s1, c_write_h_shared)),
% 4.42/4.64 inference(unit_resolution,[status(thm)],[4592, 4589, 4582])).
% 4.42/4.64 tff(4594,plain,
% 4.42/4.64 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_shared)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s1, c_write_h_shared)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared))),
% 4.42/4.64 inference(rewrite,[status(thm)],[])).
% 4.42/4.64 tff(4595,plain,
% 4.42/4.64 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_shared)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared))),
% 4.42/4.64 inference(quant_inst,[status(thm)],[])).
% 4.42/4.64 tff(4596,plain,
% 4.42/4.64 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s1, c_write_h_shared)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared)),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4595, 4594])).
% 4.42/4.64 tff(4597,plain,
% 4.42/4.64 (~m_main_v_CMD(s1, c_write_h_shared)),
% 4.42/4.64 inference(unit_resolution,[status(thm)],[4596, 1069, 4579, 4593])).
% 4.42/4.64 tff(4598,plain,
% 4.42/4.64 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_write_h_shared) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s1, c_write_h_shared) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_shared)))),
% 4.42/4.64 inference(rewrite,[status(thm)],[])).
% 4.42/4.64 tff(4599,plain,
% 4.42/4.64 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_write_h_shared) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_shared)))),
% 4.42/4.64 inference(quant_inst,[status(thm)],[])).
% 4.42/4.64 tff(4600,plain,
% 4.42/4.64 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s1, c_write_h_shared) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_shared))),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4599, 4598])).
% 4.42/4.64 tff(4601,plain,
% 4.42/4.64 (~m_processor_v_CMD(c_p0, s1, c_write_h_shared)),
% 4.42/4.64 inference(unit_resolution,[status(thm)],[4600, 1749, 1993, 4597])).
% 4.42/4.64 tff(4602,plain,
% 4.42/4.64 (m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 4.42/4.64 inference(unit_resolution,[status(thm)],[2181, 4601, 1833, 4569, 4568, 2000])).
% 4.42/4.64 tff(4603,plain,
% 4.42/4.64 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node59(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node59(c_p0, s1)))),
% 4.42/4.64 inference(rewrite,[status(thm)],[])).
% 4.42/4.64 tff(4604,plain,
% 4.42/4.64 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node59(c_p0, s1)))),
% 4.42/4.64 inference(quant_inst,[status(thm)],[])).
% 4.42/4.64 tff(4605,plain,
% 4.42/4.64 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node59(c_p0, s1))),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4604, 4603])).
% 4.42/4.64 tff(4606,plain,
% 4.42/4.64 (~node59(c_p0, s1)),
% 4.42/4.64 inference(unit_resolution,[status(thm)],[4605, 3868, 4602])).
% 4.42/4.64 tff(4607,plain,
% 4.42/4.64 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s1) | node60(c_p0, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s1) | node60(c_p0, s1))),
% 4.42/4.64 inference(rewrite,[status(thm)],[])).
% 4.42/4.64 tff(4608,plain,
% 4.42/4.64 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s1) | node60(c_p0, s1))),
% 4.42/4.64 inference(quant_inst,[status(thm)],[])).
% 4.42/4.64 tff(4609,plain,
% 4.42/4.64 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s1) | node60(c_p0, s1)),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4608, 4607])).
% 4.42/4.64 tff(4610,plain,
% 4.42/4.64 (node60(c_p0, s1)),
% 4.42/4.64 inference(unit_resolution,[status(thm)],[4609, 491, 4567])).
% 4.42/4.64 tff(4611,plain,
% 4.42/4.64 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p0, s1)) | (~node60(c_p0, s1)) | node59(c_p0, s1))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s1)) | (~node60(c_p0, s1)) | node59(c_p0, s1))),
% 4.42/4.64 inference(rewrite,[status(thm)],[])).
% 4.42/4.64 tff(4612,plain,
% 4.42/4.64 ((node59(c_p0, s1) | (~node60(c_p0, s1)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s1))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p0, s1)) | (~node60(c_p0, s1)) | node59(c_p0, s1))),
% 4.42/4.64 inference(rewrite,[status(thm)],[])).
% 4.42/4.64 tff(4613,plain,
% 4.42/4.64 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s1) | (~node60(c_p0, s1)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p0, s1)) | (~node60(c_p0, s1)) | node59(c_p0, s1)))),
% 4.42/4.64 inference(monotonicity,[status(thm)],[4612])).
% 4.42/4.64 tff(4614,plain,
% 4.42/4.64 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s1) | (~node60(c_p0, s1)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s1)) | (~node60(c_p0, s1)) | node59(c_p0, s1))),
% 4.42/4.64 inference(transitivity,[status(thm)],[4613, 4611])).
% 4.42/4.64 tff(4615,plain,
% 4.42/4.64 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s1) | (~node60(c_p0, s1)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s1)))),
% 4.42/4.64 inference(quant_inst,[status(thm)],[])).
% 4.42/4.64 tff(4616,plain,
% 4.42/4.64 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s1)) | (~node60(c_p0, s1)) | node59(c_p0, s1)),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4615, 4614])).
% 4.42/4.64 tff(4617,plain,
% 4.42/4.64 ((~m_processor_v_REPLY_h_WAITING(c_p0, s1)) | node59(c_p0, s1)),
% 4.42/4.64 inference(unit_resolution,[status(thm)],[4616, 3889, 4610])).
% 4.42/4.64 tff(4618,plain,
% 4.42/4.64 (~m_processor_v_REPLY_h_WAITING(c_p0, s1)),
% 4.42/4.64 inference(unit_resolution,[status(thm)],[4617, 4606])).
% 4.42/4.64 tff(4619,assumption,(~m_processor_v_REPLY_h_WAITING(c_p0, s1)), introduced(assumption)).
% 4.42/4.64 tff(4620,assumption,(m_main_v_REPLY_h_WAITING(s1)), introduced(assumption)).
% 4.42/4.64 tff(4621,plain,
% 4.42/4.64 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s1)) | m_processor_v_REPLY_h_WAITING(c_p0, s1))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s1)) | m_processor_v_REPLY_h_WAITING(c_p0, s1))),
% 4.42/4.64 inference(rewrite,[status(thm)],[])).
% 4.42/4.64 tff(4622,plain,
% 4.42/4.64 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s1)) | m_processor_v_REPLY_h_WAITING(c_p0, s1))),
% 4.42/4.64 inference(quant_inst,[status(thm)],[])).
% 4.42/4.64 tff(4623,plain,
% 4.42/4.64 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s1)) | m_processor_v_REPLY_h_WAITING(c_p0, s1)),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4622, 4621])).
% 4.42/4.64 tff(4624,plain,
% 4.42/4.64 ($false),
% 4.42/4.64 inference(unit_resolution,[status(thm)],[4623, 3909, 4620, 4619])).
% 4.42/4.64 tff(4625,plain,((~m_main_v_REPLY_h_WAITING(s1)) | m_processor_v_REPLY_h_WAITING(c_p0, s1)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.64 tff(4626,plain,
% 4.42/4.64 (~m_main_v_REPLY_h_WAITING(s1)),
% 4.42/4.64 inference(unit_resolution,[status(thm)],[4625, 4618])).
% 4.42/4.64 tff(4627,assumption,(node60(c_p0, s1)), introduced(assumption)).
% 4.42/4.64 tff(4628,assumption,(m_processor_v_REPLY_h_STALL(c_p0, s1)), introduced(assumption)).
% 4.42/4.64 tff(4629,plain,
% 4.42/4.64 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s1)) | (~node60(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s1)) | (~node60(c_p0, s1)))),
% 4.42/4.64 inference(rewrite,[status(thm)],[])).
% 4.42/4.64 tff(4630,plain,
% 4.42/4.64 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s1)) | (~node60(c_p0, s1)))),
% 4.42/4.64 inference(quant_inst,[status(thm)],[])).
% 4.42/4.64 tff(4631,plain,
% 4.42/4.64 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s1)) | (~node60(c_p0, s1))),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4630, 4629])).
% 4.42/4.64 tff(4632,plain,
% 4.42/4.64 ($false),
% 4.42/4.64 inference(unit_resolution,[status(thm)],[4631, 538, 4628, 4627])).
% 4.42/4.64 tff(4633,plain,((~node60(c_p0, s1)) | (~m_processor_v_REPLY_h_STALL(c_p0, s1))), inference(lemma,lemma(discharge,[]))).
% 4.42/4.64 tff(4634,plain,
% 4.42/4.64 (~m_processor_v_REPLY_h_STALL(c_p0, s1)),
% 4.42/4.64 inference(unit_resolution,[status(thm)],[4633, 4610])).
% 4.42/4.64 tff(4635,assumption,(m_main_v_REPLY_h_STALL(s1)), introduced(assumption)).
% 4.42/4.64 tff(4636,assumption,(~m_processor_v_REPLY_h_STALL(c_p0, s1)), introduced(assumption)).
% 4.42/4.64 tff(4637,plain,
% 4.42/4.64 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s1)) | m_processor_v_REPLY_h_STALL(c_p0, s1))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s1)) | m_processor_v_REPLY_h_STALL(c_p0, s1))),
% 4.42/4.64 inference(rewrite,[status(thm)],[])).
% 4.42/4.64 tff(4638,plain,
% 4.42/4.64 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s1)) | m_processor_v_REPLY_h_STALL(c_p0, s1))),
% 4.42/4.64 inference(quant_inst,[status(thm)],[])).
% 4.42/4.64 tff(4639,plain,
% 4.42/4.64 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s1)) | m_processor_v_REPLY_h_STALL(c_p0, s1)),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4638, 4637])).
% 4.42/4.64 tff(4640,plain,
% 4.42/4.64 ($false),
% 4.42/4.64 inference(unit_resolution,[status(thm)],[4639, 555, 4636, 4635])).
% 4.42/4.64 tff(4641,plain,((~m_main_v_REPLY_h_STALL(s1)) | m_processor_v_REPLY_h_STALL(c_p0, s1)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.64 tff(4642,plain,
% 4.42/4.64 (~m_main_v_REPLY_h_STALL(s1)),
% 4.42/4.64 inference(unit_resolution,[status(thm)],[4641, 4634])).
% 4.42/4.64 tff(4643,assumption,(m_processor_v_REPLY_h_STALL(c_p1, s1)), introduced(assumption)).
% 4.42/4.64 tff(4644,assumption,(~m_main_v_REPLY_h_STALL(s1)), introduced(assumption)).
% 4.42/4.64 tff(4645,plain,
% 4.42/4.64 (^[X: $i] : refl((m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X))) <=> (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X))))),
% 4.42/4.64 inference(bind,[status(th)],[])).
% 4.42/4.64 tff(4646,plain,
% 4.42/4.64 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X))) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))),
% 4.42/4.64 inference(quant_intro,[status(thm)],[4645])).
% 4.42/4.64 tff(4647,plain,
% 4.42/4.64 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X))) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))),
% 4.42/4.64 inference(rewrite,[status(thm)],[])).
% 4.42/4.64 tff(4648,plain,
% 4.42/4.64 (^[X: $i] : rewrite(((~m_processor_v_REPLY_h_STALL(c_p1, X)) | m_main_v_REPLY_h_STALL(X)) <=> (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X))))),
% 4.42/4.64 inference(bind,[status(th)],[])).
% 4.42/4.64 tff(4649,plain,
% 4.42/4.64 (![X: $i] : ((~m_processor_v_REPLY_h_STALL(c_p1, X)) | m_main_v_REPLY_h_STALL(X)) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))),
% 4.42/4.64 inference(quant_intro,[status(thm)],[4648])).
% 4.42/4.64 tff(4650,axiom,(![X: $i] : ((~m_processor_v_REPLY_h_STALL(c_p1, X)) | m_main_v_REPLY_h_STALL(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_64')).
% 4.42/4.64 tff(4651,plain,
% 4.42/4.64 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4650, 4649])).
% 4.42/4.64 tff(4652,plain,
% 4.42/4.64 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4651, 4647])).
% 4.42/4.64 tff(4653,plain,(
% 4.42/4.64 ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))),
% 4.42/4.64 inference(skolemize,[status(sab)],[4652])).
% 4.42/4.64 tff(4654,plain,
% 4.42/4.64 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4653, 4646])).
% 4.42/4.64 tff(4655,plain,
% 4.42/4.64 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s1) | (~m_processor_v_REPLY_h_STALL(c_p1, s1)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s1) | (~m_processor_v_REPLY_h_STALL(c_p1, s1)))),
% 4.42/4.64 inference(rewrite,[status(thm)],[])).
% 4.42/4.64 tff(4656,plain,
% 4.42/4.64 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s1) | (~m_processor_v_REPLY_h_STALL(c_p1, s1)))),
% 4.42/4.64 inference(quant_inst,[status(thm)],[])).
% 4.42/4.64 tff(4657,plain,
% 4.42/4.64 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s1) | (~m_processor_v_REPLY_h_STALL(c_p1, s1))),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4656, 4655])).
% 4.42/4.64 tff(4658,plain,
% 4.42/4.64 ($false),
% 4.42/4.64 inference(unit_resolution,[status(thm)],[4657, 4654, 4644, 4643])).
% 4.42/4.64 tff(4659,plain,(m_main_v_REPLY_h_STALL(s1) | (~m_processor_v_REPLY_h_STALL(c_p1, s1))), inference(lemma,lemma(discharge,[]))).
% 4.42/4.64 tff(4660,plain,
% 4.42/4.64 (~m_processor_v_REPLY_h_STALL(c_p1, s1)),
% 4.42/4.64 inference(unit_resolution,[status(thm)],[4659, 4642])).
% 4.42/4.64 tff(4661,assumption,(~node61(c_p1, s1)), introduced(assumption)).
% 4.42/4.64 tff(4662,assumption,(~m_processor_v_REPLY_h_STALL(c_p1, s1)), introduced(assumption)).
% 4.42/4.64 tff(4663,plain,
% 4.42/4.64 (^[I0: $i, X: $i] : refl(((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X)) <=> ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X)))),
% 4.42/4.64 inference(bind,[status(th)],[])).
% 4.42/4.64 tff(4664,plain,
% 4.42/4.64 (![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))),
% 4.42/4.64 inference(quant_intro,[status(thm)],[4663])).
% 4.42/4.64 tff(4665,plain,
% 4.42/4.64 (![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))),
% 4.42/4.64 inference(rewrite,[status(thm)],[])).
% 4.42/4.64 tff(4666,plain,
% 4.42/4.64 (^[I0: $i, X: $i] : rewrite((((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X)) | node61(I0, X)) <=> ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X)))),
% 4.42/4.64 inference(bind,[status(th)],[])).
% 4.42/4.64 tff(4667,plain,
% 4.42/4.64 (![I0: $i, X: $i] : (((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X)) | node61(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))),
% 4.42/4.64 inference(quant_intro,[status(thm)],[4666])).
% 4.42/4.64 tff(4668,axiom,(![I0: $i, X: $i] : (((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X)) | node61(I0, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_141')).
% 4.42/4.64 tff(4669,plain,
% 4.42/4.64 (![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4668, 4667])).
% 4.42/4.64 tff(4670,plain,
% 4.42/4.64 (![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4669, 4665])).
% 4.42/4.64 tff(4671,plain,(
% 4.42/4.64 ![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))),
% 4.42/4.64 inference(skolemize,[status(sab)],[4670])).
% 4.42/4.64 tff(4672,plain,
% 4.42/4.64 (![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4671, 4664])).
% 4.42/4.64 tff(4673,plain,
% 4.42/4.64 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s1)) | m_processor_v_REPLY_h_STALL(c_p1, s1) | node61(c_p1, s1))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s1)) | m_processor_v_REPLY_h_STALL(c_p1, s1) | node61(c_p1, s1))),
% 4.42/4.64 inference(rewrite,[status(thm)],[])).
% 4.42/4.64 tff(4674,plain,
% 4.42/4.64 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s1)) | m_processor_v_REPLY_h_STALL(c_p1, s1) | node61(c_p1, s1))),
% 4.42/4.64 inference(quant_inst,[status(thm)],[])).
% 4.42/4.64 tff(4675,plain,
% 4.42/4.64 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s1)) | m_processor_v_REPLY_h_STALL(c_p1, s1) | node61(c_p1, s1)),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4674, 4673])).
% 4.42/4.64 tff(4676,plain,
% 4.42/4.64 ($false),
% 4.42/4.64 inference(unit_resolution,[status(thm)],[4675, 4672, 1885, 4662, 4661])).
% 4.42/4.64 tff(4677,plain,(node61(c_p1, s1) | (~m_processor_v_abort(c_p1, s1)) | m_processor_v_REPLY_h_STALL(c_p1, s1)), inference(lemma,lemma(discharge,[]))).
% 4.42/4.64 tff(4678,plain,
% 4.42/4.64 (node61(c_p1, s1)),
% 4.42/4.64 inference(unit_resolution,[status(thm)],[4677, 4660, 1885])).
% 4.42/4.64 tff(4679,assumption,(~m_processor_v_REPLY_h_WAITING(c_p1, s1)), introduced(assumption)).
% 4.42/4.64 tff(4680,assumption,(node61(c_p1, s1)), introduced(assumption)).
% 4.42/4.64 tff(4681,plain,
% 4.42/4.64 (^[I0: $i, X: $i] : refl((m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X))) <=> (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X))))),
% 4.42/4.64 inference(bind,[status(th)],[])).
% 4.42/4.64 tff(4682,plain,
% 4.42/4.64 (![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))),
% 4.42/4.64 inference(quant_intro,[status(thm)],[4681])).
% 4.42/4.64 tff(4683,plain,
% 4.42/4.64 (![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))),
% 4.42/4.64 inference(rewrite,[status(thm)],[])).
% 4.42/4.64 tff(4684,axiom,(![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_139')).
% 4.42/4.64 tff(4685,plain,
% 4.42/4.64 (![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4684, 4683])).
% 4.42/4.64 tff(4686,plain,(
% 4.42/4.64 ![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))),
% 4.42/4.64 inference(skolemize,[status(sab)],[4685])).
% 4.42/4.64 tff(4687,plain,
% 4.42/4.64 (![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4686, 4682])).
% 4.42/4.64 tff(4688,plain,
% 4.42/4.64 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p1, s1) | (~node61(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p1, s1) | (~node61(c_p1, s1)))),
% 4.42/4.64 inference(rewrite,[status(thm)],[])).
% 4.42/4.64 tff(4689,plain,
% 4.42/4.64 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p1, s1) | (~node61(c_p1, s1)))),
% 4.42/4.64 inference(quant_inst,[status(thm)],[])).
% 4.42/4.64 tff(4690,plain,
% 4.42/4.64 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p1, s1) | (~node61(c_p1, s1))),
% 4.42/4.64 inference(modus_ponens,[status(thm)],[4689, 4688])).
% 4.42/4.64 tff(4691,plain,
% 4.42/4.64 ($false),
% 4.42/4.64 inference(unit_resolution,[status(thm)],[4690, 4687, 4680, 4679])).
% 4.42/4.64 tff(4692,plain,(m_processor_v_REPLY_h_WAITING(c_p1, s1) | (~node61(c_p1, s1))), inference(lemma,lemma(discharge,[]))).
% 4.42/4.64 tff(4693,plain,
% 4.42/4.64 (m_processor_v_REPLY_h_WAITING(c_p1, s1)),
% 4.42/4.64 inference(unit_resolution,[status(thm)],[4692, 4678])).
% 4.42/4.64 tff(4694,plain,
% 4.42/4.64 (^[X: $i] : refl((m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X))) <=> (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X))))),
% 4.42/4.64 inference(bind,[status(th)],[])).
% 4.42/4.64 tff(4695,plain,
% 4.42/4.64 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X))) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))),
% 4.42/4.64 inference(quant_intro,[status(thm)],[4694])).
% 4.42/4.64 tff(4696,plain,
% 4.42/4.64 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X))) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))),
% 4.42/4.64 inference(rewrite,[status(thm)],[])).
% 4.42/4.64 tff(4697,plain,
% 4.42/4.64 (^[X: $i] : rewrite(((~m_processor_v_REPLY_h_WAITING(c_p1, X)) | m_main_v_REPLY_h_WAITING(X)) <=> (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X))))),
% 4.42/4.64 inference(bind,[status(th)],[])).
% 4.42/4.64 tff(4698,plain,
% 4.42/4.64 (![X: $i] : ((~m_processor_v_REPLY_h_WAITING(c_p1, X)) | m_main_v_REPLY_h_WAITING(X)) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))),
% 4.42/4.64 inference(quant_intro,[status(thm)],[4697])).
% 4.42/4.64 tff(4699,axiom,(![X: $i] : ((~m_processor_v_REPLY_h_WAITING(c_p1, X)) | m_main_v_REPLY_h_WAITING(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_62')).
% 4.42/4.64 tff(4700,plain,
% 4.42/4.64 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))),
% 4.48/4.64 inference(modus_ponens,[status(thm)],[4699, 4698])).
% 4.48/4.64 tff(4701,plain,
% 4.48/4.64 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))),
% 4.48/4.64 inference(modus_ponens,[status(thm)],[4700, 4696])).
% 4.48/4.64 tff(4702,plain,(
% 4.48/4.64 ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))),
% 4.48/4.64 inference(skolemize,[status(sab)],[4701])).
% 4.48/4.64 tff(4703,plain,
% 4.48/4.64 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))),
% 4.48/4.64 inference(modus_ponens,[status(thm)],[4702, 4695])).
% 4.48/4.64 tff(4704,plain,
% 4.48/4.64 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | (m_main_v_REPLY_h_WAITING(s1) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | m_main_v_REPLY_h_WAITING(s1) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1)))),
% 4.48/4.64 inference(rewrite,[status(thm)],[])).
% 4.48/4.64 tff(4705,plain,
% 4.48/4.64 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | (m_main_v_REPLY_h_WAITING(s1) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1)))),
% 4.48/4.64 inference(quant_inst,[status(thm)],[])).
% 4.48/4.64 tff(4706,plain,
% 4.48/4.64 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | m_main_v_REPLY_h_WAITING(s1) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1))),
% 4.48/4.64 inference(modus_ponens,[status(thm)],[4705, 4704])).
% 4.48/4.64 tff(4707,plain,
% 4.48/4.64 ($false),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[4706, 4703, 4693, 4626])).
% 4.48/4.64 tff(4708,plain,(m_processor_v_master(c_p0, s0) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_abort(c_p1, s1)) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_cmd(c_p1, s1, c_idle))), inference(lemma,lemma(discharge,[]))).
% 4.48/4.64 tff(4709,plain,
% 4.48/4.64 (~m_processor_v_abort(c_p1, s1)),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[4708, 4564, 1769, 2000, 1517])).
% 4.48/4.64 tff(4710,plain,
% 4.48/4.64 (~m_processor_v_state(c_p1, s1, c_invalid)),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[1902, 3, 1853, 1515])).
% 4.48/4.64 tff(4711,plain,
% 4.48/4.64 (~m_processor_v_state(c_p1, s1, c_shared)),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[1956, 3, 1853, 1938, 1863])).
% 4.48/4.64 tff(4712,plain,
% 4.48/4.64 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s1, c_owned)) | m_processor_v_state(c_p1, s2, c_owned) | (~node37(c_p1, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s1, c_owned)) | m_processor_v_state(c_p1, s2, c_owned) | (~node37(c_p1, s1, s2)))),
% 4.48/4.64 inference(rewrite,[status(thm)],[])).
% 4.48/4.64 tff(4713,plain,
% 4.48/4.64 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s1, c_owned)) | m_processor_v_state(c_p1, s2, c_owned) | (~node37(c_p1, s1, s2)))),
% 4.48/4.64 inference(quant_inst,[status(thm)],[])).
% 4.48/4.64 tff(4714,plain,
% 4.48/4.64 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s1, c_owned)) | m_processor_v_state(c_p1, s2, c_owned) | (~node37(c_p1, s1, s2))),
% 4.48/4.64 inference(modus_ponens,[status(thm)],[4713, 4712])).
% 4.48/4.64 tff(4715,plain,
% 4.48/4.64 (~node37(c_p1, s1, s2)),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[4714, 95, 1515, 1366])).
% 4.48/4.64 tff(4716,plain,
% 4.48/4.64 (~m_processor_v_state(c_p1, s1, c_shared)),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[1379, 1373, 1366])).
% 4.48/4.64 tff(4717,plain,
% 4.48/4.64 ($false),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[1882, 4716, 4715, 1863, 1853])).
% 4.48/4.64 tff(4718,plain,((~m_processor_v_state(c_p1, s1, c_owned)) | m_processor_v_abort(c_p1, s1) | m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.48/4.64 tff(4719,plain,
% 4.48/4.64 (~m_processor_v_state(c_p1, s1, c_owned)),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[4718, 1515, 1863, 1853])).
% 4.48/4.64 tff(4720,plain,
% 4.48/4.64 (m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_state(c_p1, s1, c_invalid)),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[3551, 1780, 4719])).
% 4.48/4.64 tff(4721,plain,
% 4.48/4.64 ($false),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[4720, 4711, 4710])).
% 4.48/4.64 tff(4722,plain,(m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_master(c_p1, s1) | node35(c_p1, s1) | m_processor_v_abort(c_p1, s1) | m_processor_v_state(c_p1, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.48/4.64 tff(4723,plain,
% 4.48/4.64 ($false),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[4722, 4709, 4563, 3, 1515, 4540])).
% 4.48/4.64 tff(4724,plain,(m_processor_v_master(c_p0, s0) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_state(c_p0, s2, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.48/4.64 tff(4725,plain,
% 4.48/4.64 (m_processor_v_master(c_p0, s0)),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[4724, 4534, 3, 1515, 4533])).
% 4.48/4.64 tff(4726,plain,
% 4.48/4.64 (~m_processor_v_master(c_p1, s0)),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[820, 4725])).
% 4.48/4.64 tff(4727,plain,
% 4.48/4.64 (m_processor_v_state(c_p1, s1, c_invalid)),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[142, 4726])).
% 4.48/4.64 tff(4728,plain,
% 4.48/4.64 (~node32(c_p1, s1, s2)),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[1927, 4727, 3])).
% 4.48/4.64 tff(4729,plain,
% 4.48/4.64 (~m_processor_v_abort(c_p1, s1)),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[1893, 4728])).
% 4.48/4.64 tff(4730,assumption,(~node60(c_p1, s1)), introduced(assumption)).
% 4.48/4.64 tff(4731,plain,
% 4.48/4.64 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s1) | node60(c_p1, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s1) | node60(c_p1, s1))),
% 4.48/4.64 inference(rewrite,[status(thm)],[])).
% 4.48/4.64 tff(4732,plain,
% 4.48/4.64 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s1) | node60(c_p1, s1))),
% 4.48/4.64 inference(quant_inst,[status(thm)],[])).
% 4.48/4.64 tff(4733,plain,
% 4.48/4.64 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s1) | node60(c_p1, s1)),
% 4.48/4.64 inference(modus_ponens,[status(thm)],[4732, 4731])).
% 4.48/4.64 tff(4734,plain,
% 4.48/4.64 ($false),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[4733, 491, 1863, 4730])).
% 4.48/4.64 tff(4735,plain,(node60(c_p1, s1) | m_processor_v_abort(c_p1, s1)), inference(lemma,lemma(discharge,[]))).
% 4.48/4.64 tff(4736,plain,
% 4.48/4.64 (node60(c_p1, s1)),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[4735, 4729])).
% 4.48/4.64 tff(4737,assumption,(node60(c_p1, s1)), introduced(assumption)).
% 4.48/4.64 tff(4738,plain,
% 4.48/4.64 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s1)) | (~node60(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s1)) | (~node60(c_p1, s1)))),
% 4.48/4.64 inference(rewrite,[status(thm)],[])).
% 4.48/4.64 tff(4739,plain,
% 4.48/4.64 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s1)) | (~node60(c_p1, s1)))),
% 4.48/4.64 inference(quant_inst,[status(thm)],[])).
% 4.48/4.64 tff(4740,plain,
% 4.48/4.64 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s1)) | (~node60(c_p1, s1))),
% 4.48/4.64 inference(modus_ponens,[status(thm)],[4739, 4738])).
% 4.48/4.64 tff(4741,plain,
% 4.48/4.64 ($false),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[4740, 538, 4643, 4737])).
% 4.48/4.64 tff(4742,plain,((~node60(c_p1, s1)) | (~m_processor_v_REPLY_h_STALL(c_p1, s1))), inference(lemma,lemma(discharge,[]))).
% 4.48/4.64 tff(4743,plain,
% 4.48/4.64 (~m_processor_v_REPLY_h_STALL(c_p1, s1)),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[4742, 4736])).
% 4.48/4.64 tff(4744,plain,
% 4.48/4.64 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s1)) | m_processor_v_REPLY_h_STALL(c_p1, s1))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s1)) | m_processor_v_REPLY_h_STALL(c_p1, s1))),
% 4.48/4.64 inference(rewrite,[status(thm)],[])).
% 4.48/4.64 tff(4745,plain,
% 4.48/4.64 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s1)) | m_processor_v_REPLY_h_STALL(c_p1, s1))),
% 4.48/4.64 inference(quant_inst,[status(thm)],[])).
% 4.48/4.64 tff(4746,plain,
% 4.48/4.64 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s1)) | m_processor_v_REPLY_h_STALL(c_p1, s1)),
% 4.48/4.64 inference(modus_ponens,[status(thm)],[4745, 4744])).
% 4.48/4.64 tff(4747,plain,
% 4.48/4.64 ($false),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[4746, 524, 4635, 4662])).
% 4.48/4.64 tff(4748,plain,(m_processor_v_REPLY_h_STALL(c_p1, s1) | (~m_main_v_REPLY_h_STALL(s1))), inference(lemma,lemma(discharge,[]))).
% 4.48/4.64 tff(4749,plain,
% 4.48/4.64 (~m_main_v_REPLY_h_STALL(s1)),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[4748, 4743])).
% 4.48/4.64 tff(4750,plain,
% 4.48/4.64 (^[X: $i] : refl((m_main_v_REPLY_h_STALL(X) | node7(X)) <=> (m_main_v_REPLY_h_STALL(X) | node7(X)))),
% 4.48/4.64 inference(bind,[status(th)],[])).
% 4.48/4.64 tff(4751,plain,
% 4.48/4.64 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X)) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))),
% 4.48/4.64 inference(quant_intro,[status(thm)],[4750])).
% 4.48/4.64 tff(4752,plain,
% 4.48/4.64 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X)) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))),
% 4.48/4.64 inference(rewrite,[status(thm)],[])).
% 4.48/4.64 tff(4753,axiom,(![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_88')).
% 4.48/4.64 tff(4754,plain,
% 4.48/4.64 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))),
% 4.48/4.64 inference(modus_ponens,[status(thm)],[4753, 4752])).
% 4.48/4.64 tff(4755,plain,(
% 4.48/4.64 ![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))),
% 4.48/4.64 inference(skolemize,[status(sab)],[4754])).
% 4.48/4.64 tff(4756,plain,
% 4.48/4.64 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))),
% 4.48/4.64 inference(modus_ponens,[status(thm)],[4755, 4751])).
% 4.48/4.64 tff(4757,plain,
% 4.48/4.64 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | (m_main_v_REPLY_h_STALL(s1) | node7(s1))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | m_main_v_REPLY_h_STALL(s1) | node7(s1))),
% 4.48/4.64 inference(rewrite,[status(thm)],[])).
% 4.48/4.64 tff(4758,plain,
% 4.48/4.64 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | (m_main_v_REPLY_h_STALL(s1) | node7(s1))),
% 4.48/4.64 inference(quant_inst,[status(thm)],[])).
% 4.48/4.64 tff(4759,plain,
% 4.48/4.64 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | m_main_v_REPLY_h_STALL(s1) | node7(s1)),
% 4.48/4.64 inference(modus_ponens,[status(thm)],[4758, 4757])).
% 4.48/4.64 tff(4760,plain,
% 4.48/4.64 (node7(s1)),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[4759, 4756, 4644])).
% 4.48/4.64 tff(4761,assumption,(m_memory_v_reply_h_stall(c_m, s1)), introduced(assumption)).
% 4.48/4.64 tff(4762,plain,
% 4.48/4.64 (^[X: $i] : refl(((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X))) <=> ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X))))),
% 4.48/4.64 inference(bind,[status(th)],[])).
% 4.48/4.64 tff(4763,plain,
% 4.48/4.64 (![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X))) <=> ![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))),
% 4.48/4.64 inference(quant_intro,[status(thm)],[4762])).
% 4.48/4.64 tff(4764,plain,
% 4.48/4.64 (![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X))) <=> ![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))),
% 4.48/4.64 inference(rewrite,[status(thm)],[])).
% 4.48/4.64 tff(4765,plain,
% 4.48/4.64 (^[X: $i] : rewrite(((~m_memory_v_reply_h_stall(c_m, X)) | (~node7(X))) <=> ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X))))),
% 4.48/4.64 inference(bind,[status(th)],[])).
% 4.48/4.64 tff(4766,plain,
% 4.48/4.64 (![X: $i] : ((~m_memory_v_reply_h_stall(c_m, X)) | (~node7(X))) <=> ![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))),
% 4.48/4.64 inference(quant_intro,[status(thm)],[4765])).
% 4.48/4.64 tff(4767,axiom,(![X: $i] : ((~m_memory_v_reply_h_stall(c_m, X)) | (~node7(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_87')).
% 4.48/4.64 tff(4768,plain,
% 4.48/4.64 (![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))),
% 4.48/4.64 inference(modus_ponens,[status(thm)],[4767, 4766])).
% 4.48/4.64 tff(4769,plain,
% 4.48/4.64 (![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))),
% 4.48/4.64 inference(modus_ponens,[status(thm)],[4768, 4764])).
% 4.48/4.64 tff(4770,plain,(
% 4.48/4.64 ![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))),
% 4.48/4.64 inference(skolemize,[status(sab)],[4769])).
% 4.48/4.64 tff(4771,plain,
% 4.48/4.64 (![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))),
% 4.48/4.64 inference(modus_ponens,[status(thm)],[4770, 4763])).
% 4.48/4.64 tff(4772,plain,
% 4.48/4.64 (((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | ((~node7(s1)) | (~m_memory_v_reply_h_stall(c_m, s1)))) <=> ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | (~node7(s1)) | (~m_memory_v_reply_h_stall(c_m, s1)))),
% 4.48/4.64 inference(rewrite,[status(thm)],[])).
% 4.48/4.64 tff(4773,plain,
% 4.48/4.64 ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | ((~node7(s1)) | (~m_memory_v_reply_h_stall(c_m, s1)))),
% 4.48/4.64 inference(quant_inst,[status(thm)],[])).
% 4.48/4.64 tff(4774,plain,
% 4.48/4.64 ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | (~node7(s1)) | (~m_memory_v_reply_h_stall(c_m, s1))),
% 4.48/4.64 inference(modus_ponens,[status(thm)],[4773, 4772])).
% 4.48/4.64 tff(4775,plain,
% 4.48/4.64 ($false),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[4774, 4771, 4761, 4760])).
% 4.48/4.64 tff(4776,plain,((~m_memory_v_reply_h_stall(c_m, s1)) | m_main_v_REPLY_h_STALL(s1)), inference(lemma,lemma(discharge,[]))).
% 4.48/4.64 tff(4777,plain,
% 4.48/4.64 (~m_memory_v_reply_h_stall(c_m, s1)),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[4776, 4749])).
% 4.48/4.64 tff(4778,assumption,(~m_memory_v_reply_h_stall(c_m, s1)), introduced(assumption)).
% 4.48/4.64 tff(4779,assumption,(~node30(c_m, s1)), introduced(assumption)).
% 4.48/4.64 tff(4780,assumption,(m_memory_v_busy(c_m, s1)), introduced(assumption)).
% 4.48/4.64 tff(4781,plain,
% 4.48/4.64 (^[I0: $i, X: $i] : refl(((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X)) <=> ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X)))),
% 4.48/4.64 inference(bind,[status(th)],[])).
% 4.48/4.64 tff(4782,plain,
% 4.48/4.64 (![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X)) <=> ![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))),
% 4.48/4.64 inference(quant_intro,[status(thm)],[4781])).
% 4.48/4.64 tff(4783,plain,
% 4.48/4.64 (![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X)) <=> ![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))),
% 4.48/4.64 inference(rewrite,[status(thm)],[])).
% 4.48/4.64 tff(4784,plain,
% 4.48/4.64 (^[I0: $i, X: $i] : rewrite((((~m_memory_v_busy(I0, X)) | node30(I0, X)) | m_memory_v_reply_h_stall(I0, X)) <=> ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X)))),
% 4.48/4.64 inference(bind,[status(th)],[])).
% 4.48/4.64 tff(4785,plain,
% 4.48/4.64 (![I0: $i, X: $i] : (((~m_memory_v_busy(I0, X)) | node30(I0, X)) | m_memory_v_reply_h_stall(I0, X)) <=> ![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))),
% 4.48/4.64 inference(quant_intro,[status(thm)],[4784])).
% 4.48/4.64 tff(4786,axiom,(![I0: $i, X: $i] : (((~m_memory_v_busy(I0, X)) | node30(I0, X)) | m_memory_v_reply_h_stall(I0, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_81')).
% 4.48/4.64 tff(4787,plain,
% 4.48/4.64 (![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))),
% 4.48/4.64 inference(modus_ponens,[status(thm)],[4786, 4785])).
% 4.48/4.64 tff(4788,plain,
% 4.48/4.64 (![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))),
% 4.48/4.64 inference(modus_ponens,[status(thm)],[4787, 4783])).
% 4.48/4.64 tff(4789,plain,(
% 4.48/4.64 ![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))),
% 4.48/4.64 inference(skolemize,[status(sab)],[4788])).
% 4.48/4.64 tff(4790,plain,
% 4.48/4.64 (![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))),
% 4.48/4.64 inference(modus_ponens,[status(thm)],[4789, 4782])).
% 4.48/4.64 tff(4791,plain,
% 4.48/4.64 (((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s1)) | m_memory_v_reply_h_stall(c_m, s1) | node30(c_m, s1))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (~m_memory_v_busy(c_m, s1)) | m_memory_v_reply_h_stall(c_m, s1) | node30(c_m, s1))),
% 4.48/4.64 inference(rewrite,[status(thm)],[])).
% 4.48/4.64 tff(4792,plain,
% 4.48/4.64 (((~m_memory_v_busy(c_m, s1)) | node30(c_m, s1) | m_memory_v_reply_h_stall(c_m, s1)) <=> ((~m_memory_v_busy(c_m, s1)) | m_memory_v_reply_h_stall(c_m, s1) | node30(c_m, s1))),
% 4.48/4.64 inference(rewrite,[status(thm)],[])).
% 4.48/4.64 tff(4793,plain,
% 4.48/4.64 (((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s1)) | node30(c_m, s1) | m_memory_v_reply_h_stall(c_m, s1))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s1)) | m_memory_v_reply_h_stall(c_m, s1) | node30(c_m, s1)))),
% 4.48/4.64 inference(monotonicity,[status(thm)],[4792])).
% 4.48/4.64 tff(4794,plain,
% 4.48/4.64 (((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s1)) | node30(c_m, s1) | m_memory_v_reply_h_stall(c_m, s1))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (~m_memory_v_busy(c_m, s1)) | m_memory_v_reply_h_stall(c_m, s1) | node30(c_m, s1))),
% 4.48/4.64 inference(transitivity,[status(thm)],[4793, 4791])).
% 4.48/4.64 tff(4795,plain,
% 4.48/4.64 ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s1)) | node30(c_m, s1) | m_memory_v_reply_h_stall(c_m, s1))),
% 4.48/4.64 inference(quant_inst,[status(thm)],[])).
% 4.48/4.64 tff(4796,plain,
% 4.48/4.64 ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (~m_memory_v_busy(c_m, s1)) | m_memory_v_reply_h_stall(c_m, s1) | node30(c_m, s1)),
% 4.48/4.64 inference(modus_ponens,[status(thm)],[4795, 4794])).
% 4.48/4.64 tff(4797,plain,
% 4.48/4.64 ($false),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[4796, 4790, 4780, 4779, 4778])).
% 4.48/4.64 tff(4798,plain,(node30(c_m, s1) | (~m_memory_v_busy(c_m, s1)) | m_memory_v_reply_h_stall(c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 4.48/4.64 tff(4799,plain,
% 4.48/4.64 (node30(c_m, s1)),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[4798, 4777, 4084])).
% 4.48/4.64 tff(4800,plain,
% 4.48/4.64 (~m_processor_v_state(c_p1, s1, c_owned)),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[2856, 4727])).
% 4.48/4.64 tff(4801,plain,
% 4.48/4.64 (m_processor_v_master(c_p1, s1)),
% 4.48/4.64 inference(unit_resolution,[status(thm)],[1902, 4727, 3, 1515])).
% 4.48/4.64 tff(4802,assumption,(node30(c_m, s1)), introduced(assumption)).
% 4.48/4.64 tff(4803,assumption,(m_memory_v_CMD(c_m, s1, c_read_h_owned)), introduced(assumption)).
% 4.48/4.64 tff(4804,plain,
% 4.48/4.64 (^[I0: $i, X: $i] : refl(((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X))) <=> ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X))))),
% 4.48/4.64 inference(bind,[status(th)],[])).
% 4.48/4.64 tff(4805,plain,
% 4.48/4.64 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))),
% 4.48/4.64 inference(quant_intro,[status(thm)],[4804])).
% 4.48/4.64 tff(4806,plain,
% 4.48/4.64 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))),
% 4.48/4.65 inference(rewrite,[status(thm)],[])).
% 4.48/4.65 tff(4807,axiom,(![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_74')).
% 4.48/4.65 tff(4808,plain,
% 4.48/4.65 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))),
% 4.48/4.65 inference(modus_ponens,[status(thm)],[4807, 4806])).
% 4.48/4.65 tff(4809,plain,(
% 4.48/4.65 ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))),
% 4.48/4.65 inference(skolemize,[status(sab)],[4808])).
% 4.48/4.65 tff(4810,plain,
% 4.48/4.65 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))),
% 4.48/4.65 inference(modus_ponens,[status(thm)],[4809, 4805])).
% 4.48/4.65 tff(4811,plain,
% 4.48/4.65 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s1, c_read_h_owned)) | (~node30(c_m, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s1, c_read_h_owned)) | (~node30(c_m, s1)))),
% 4.48/4.65 inference(rewrite,[status(thm)],[])).
% 4.48/4.65 tff(4812,plain,
% 4.48/4.65 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s1, c_read_h_owned)) | (~node30(c_m, s1)))),
% 4.48/4.65 inference(quant_inst,[status(thm)],[])).
% 4.48/4.65 tff(4813,plain,
% 4.48/4.65 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s1, c_read_h_owned)) | (~node30(c_m, s1))),
% 4.48/4.65 inference(modus_ponens,[status(thm)],[4812, 4811])).
% 4.48/4.65 tff(4814,plain,
% 4.48/4.65 ($false),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4813, 4810, 4803, 4802])).
% 4.48/4.65 tff(4815,plain,((~node30(c_m, s1)) | (~m_memory_v_CMD(c_m, s1, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.48/4.65 tff(4816,plain,
% 4.48/4.65 (~m_memory_v_CMD(c_m, s1, c_read_h_owned)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4815, 4799])).
% 4.48/4.65 tff(4817,assumption,(~m_memory_v_CMD(c_m, s1, c_read_h_owned)), introduced(assumption)).
% 4.48/4.65 tff(4818,assumption,(~node1(s1)), introduced(assumption)).
% 4.48/4.65 tff(4819,plain,
% 4.48/4.65 ((~![X: $i] : node1(X)) | node1(s1)),
% 4.48/4.65 inference(quant_inst,[status(thm)],[])).
% 4.48/4.65 tff(4820,plain,
% 4.48/4.65 ($false),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4819, 609, 4818])).
% 4.48/4.65 tff(4821,plain,(node1(s1)), inference(lemma,lemma(discharge,[]))).
% 4.48/4.65 tff(4822,plain,
% 4.48/4.65 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s1)) | (~m_main_v_CMD(s1, c_read_h_owned)) | m_memory_v_CMD(c_m, s1, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s1)) | (~m_main_v_CMD(s1, c_read_h_owned)) | m_memory_v_CMD(c_m, s1, c_read_h_owned))),
% 4.48/4.65 inference(rewrite,[status(thm)],[])).
% 4.48/4.65 tff(4823,plain,
% 4.48/4.65 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s1)) | (~m_main_v_CMD(s1, c_read_h_owned)) | m_memory_v_CMD(c_m, s1, c_read_h_owned))),
% 4.48/4.65 inference(quant_inst,[status(thm)],[])).
% 4.48/4.65 tff(4824,plain,
% 4.48/4.65 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s1)) | (~m_main_v_CMD(s1, c_read_h_owned)) | m_memory_v_CMD(c_m, s1, c_read_h_owned)),
% 4.48/4.65 inference(modus_ponens,[status(thm)],[4823, 4822])).
% 4.48/4.65 tff(4825,plain,
% 4.48/4.65 ($false),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4824, 622, 4821, 1974, 4817])).
% 4.48/4.65 tff(4826,plain,(m_memory_v_CMD(c_m, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.48/4.65 tff(4827,plain,
% 4.48/4.65 (~m_main_v_CMD(s1, c_read_h_owned)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4826, 4816])).
% 4.48/4.65 tff(4828,plain,
% 4.48/4.65 (m_main_v_CMD(s1, c_read_h_shared)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[3657, 4827, 4801, 4800])).
% 4.48/4.65 tff(4829,plain,
% 4.48/4.65 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s1)) | (~m_main_v_CMD(s1, c_read_h_shared)) | m_memory_v_CMD(c_m, s1, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s1)) | (~m_main_v_CMD(s1, c_read_h_shared)) | m_memory_v_CMD(c_m, s1, c_read_h_shared))),
% 4.48/4.65 inference(rewrite,[status(thm)],[])).
% 4.48/4.65 tff(4830,plain,
% 4.48/4.65 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s1)) | (~m_main_v_CMD(s1, c_read_h_shared)) | m_memory_v_CMD(c_m, s1, c_read_h_shared))),
% 4.48/4.65 inference(quant_inst,[status(thm)],[])).
% 4.48/4.65 tff(4831,plain,
% 4.48/4.65 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s1)) | (~m_main_v_CMD(s1, c_read_h_shared)) | m_memory_v_CMD(c_m, s1, c_read_h_shared)),
% 4.48/4.65 inference(modus_ponens,[status(thm)],[4830, 4829])).
% 4.48/4.65 tff(4832,plain,
% 4.48/4.65 (m_memory_v_CMD(c_m, s1, c_read_h_shared)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4831, 622, 4821, 4828])).
% 4.48/4.65 tff(4833,plain,
% 4.48/4.65 (^[I0: $i, X: $i] : refl(((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X))) <=> ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X))))),
% 4.48/4.65 inference(bind,[status(th)],[])).
% 4.48/4.65 tff(4834,plain,
% 4.48/4.65 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))),
% 4.48/4.65 inference(quant_intro,[status(thm)],[4833])).
% 4.48/4.65 tff(4835,plain,
% 4.48/4.65 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))),
% 4.48/4.65 inference(rewrite,[status(thm)],[])).
% 4.48/4.65 tff(4836,axiom,(![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_73')).
% 4.48/4.65 tff(4837,plain,
% 4.48/4.65 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))),
% 4.48/4.65 inference(modus_ponens,[status(thm)],[4836, 4835])).
% 4.48/4.65 tff(4838,plain,(
% 4.48/4.65 ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))),
% 4.48/4.65 inference(skolemize,[status(sab)],[4837])).
% 4.48/4.65 tff(4839,plain,
% 4.48/4.65 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))),
% 4.48/4.65 inference(modus_ponens,[status(thm)],[4838, 4834])).
% 4.48/4.65 tff(4840,plain,
% 4.48/4.65 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s1, c_read_h_shared)) | (~node30(c_m, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared)) | (~node30(c_m, s1)))),
% 4.48/4.65 inference(rewrite,[status(thm)],[])).
% 4.48/4.65 tff(4841,plain,
% 4.48/4.65 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s1, c_read_h_shared)) | (~node30(c_m, s1)))),
% 4.48/4.65 inference(quant_inst,[status(thm)],[])).
% 4.48/4.65 tff(4842,plain,
% 4.48/4.65 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared)) | (~node30(c_m, s1))),
% 4.48/4.65 inference(modus_ponens,[status(thm)],[4841, 4840])).
% 4.48/4.65 tff(4843,plain,
% 4.48/4.65 ($false),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4842, 4839, 4832, 4799])).
% 4.48/4.65 tff(4844,plain,(m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_state(c_p1, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.48/4.65 tff(4845,plain,
% 4.48/4.65 (m_processor_v_state(c_p1, s2, c_owned)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4844, 3])).
% 4.48/4.65 tff(4846,plain,
% 4.48/4.65 (~m_processor_v_state(c_p1, s1, c_owned)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[2856, 1507])).
% 4.48/4.65 tff(4847,plain,
% 4.48/4.65 (~node37(c_p1, s1, s2)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[3255, 629, 3250])).
% 4.48/4.65 tff(4848,plain,
% 4.48/4.65 (m_processor_v_abort(c_p1, s1)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[1882, 4847, 1383, 1853])).
% 4.48/4.65 tff(4849,plain,
% 4.48/4.65 (node32(c_p1, s1, s2)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[1893, 4848])).
% 4.48/4.65 tff(4850,plain,
% 4.48/4.65 (~m_processor_v_state(c_p1, s1, c_invalid)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[1927, 4849, 3])).
% 4.48/4.65 tff(4851,plain,
% 4.48/4.65 (node34(c_p1, s0, s1)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[651, 4850])).
% 4.48/4.65 tff(4852,plain,
% 4.48/4.65 (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[1401, 4851, 1383])).
% 4.48/4.65 tff(4853,plain,
% 4.48/4.65 (m_processor_v_CMD(c_p1, s0, c_read_h_owned)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[1498, 4850, 1383])).
% 4.48/4.65 tff(4854,plain,
% 4.48/4.65 ($false),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[1331, 4853, 4851, 629, 4852])).
% 4.48/4.65 tff(4855,plain,(m_processor_v_state(c_p1, s1, c_owned) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s2, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.48/4.65 tff(4856,plain,
% 4.48/4.65 (m_processor_v_state(c_p1, s2, c_invalid)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4855, 3250, 629, 1853, 1383])).
% 4.48/4.65 tff(4857,plain,
% 4.48/4.65 ($false),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[3477, 4856, 3250])).
% 4.48/4.65 tff(4858,plain,((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s1, c_owned) | m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s1, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.48/4.65 tff(4859,plain,
% 4.48/4.65 (m_processor_v_master(c_p1, s1)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4858, 4846, 4845, 1514])).
% 4.48/4.65 tff(4860,plain,
% 4.48/4.65 (~m_processor_v_master(c_p0, s1)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[1850, 4859])).
% 4.48/4.65 tff(4861,plain,
% 4.48/4.65 (m_processor_v_state(c_p1, s2, c_owned)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[2216, 4, 3, 1769])).
% 4.48/4.65 tff(4862,plain,
% 4.48/4.65 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_state(c_p1, s2, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_state(c_p1, s2, c_shared)))),
% 4.48/4.65 inference(rewrite,[status(thm)],[])).
% 4.48/4.65 tff(4863,plain,
% 4.48/4.65 (((~m_processor_v_state(c_p1, s2, c_shared)) | (~m_processor_v_state(c_p1, s2, c_owned))) <=> ((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_state(c_p1, s2, c_shared)))),
% 4.48/4.65 inference(rewrite,[status(thm)],[])).
% 4.48/4.65 tff(4864,plain,
% 4.48/4.65 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | (~m_processor_v_state(c_p1, s2, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_state(c_p1, s2, c_shared))))),
% 4.48/4.65 inference(monotonicity,[status(thm)],[4863])).
% 4.48/4.65 tff(4865,plain,
% 4.48/4.65 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | (~m_processor_v_state(c_p1, s2, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_state(c_p1, s2, c_shared)))),
% 4.48/4.65 inference(transitivity,[status(thm)],[4864, 4862])).
% 4.48/4.65 tff(4866,plain,
% 4.48/4.65 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | (~m_processor_v_state(c_p1, s2, c_owned)))),
% 4.48/4.65 inference(quant_inst,[status(thm)],[])).
% 4.48/4.65 tff(4867,plain,
% 4.48/4.65 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_state(c_p1, s2, c_shared))),
% 4.48/4.65 inference(modus_ponens,[status(thm)],[4866, 4865])).
% 4.48/4.65 tff(4868,plain,
% 4.48/4.65 (~m_processor_v_state(c_p1, s2, c_shared)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4867, 1373, 4861])).
% 4.48/4.65 tff(4869,plain,
% 4.48/4.65 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_shared) | (~node32(c_p1, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_shared) | (~node32(c_p1, s1, s2)))),
% 4.48/4.65 inference(rewrite,[status(thm)],[])).
% 4.48/4.65 tff(4870,plain,
% 4.48/4.65 (((~node32(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_shared)) <=> ((~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_shared) | (~node32(c_p1, s1, s2)))),
% 4.48/4.65 inference(rewrite,[status(thm)],[])).
% 4.48/4.65 tff(4871,plain,
% 4.48/4.65 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_shared) | (~node32(c_p1, s1, s2))))),
% 4.48/4.65 inference(monotonicity,[status(thm)],[4870])).
% 4.48/4.65 tff(4872,plain,
% 4.48/4.65 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_shared) | (~node32(c_p1, s1, s2)))),
% 4.48/4.65 inference(transitivity,[status(thm)],[4871, 4869])).
% 4.48/4.65 tff(4873,plain,
% 4.48/4.65 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_shared))),
% 4.48/4.65 inference(quant_inst,[status(thm)],[])).
% 4.48/4.65 tff(4874,plain,
% 4.48/4.65 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_shared) | (~node32(c_p1, s1, s2))),
% 4.48/4.65 inference(modus_ponens,[status(thm)],[4873, 4872])).
% 4.48/4.65 tff(4875,plain,
% 4.48/4.65 ($false),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4874, 28, 1770, 1365, 1925])).
% 4.48/4.65 tff(4876,plain,((~node32(c_p1, s1, s2)) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s1, c_shared))), inference(lemma,lemma(discharge,[]))).
% 4.48/4.65 tff(4877,plain,
% 4.48/4.65 (~node32(c_p1, s1, s2)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4876, 1365, 1770])).
% 4.48/4.65 tff(4878,plain,
% 4.48/4.65 (m_processor_v_abort(c_p1, s1)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[1956, 1365, 1853, 3, 1938])).
% 4.48/4.65 tff(4879,plain,
% 4.48/4.65 ($false),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[1891, 76, 1874, 4878, 4877])).
% 4.48/4.65 tff(4880,plain,((~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s2, c_invalid) | node35(c_p1, s1)), inference(lemma,lemma(discharge,[]))).
% 4.48/4.65 tff(4881,plain,
% 4.48/4.65 (node35(c_p1, s1)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4880, 1853, 1365, 3, 1770])).
% 4.48/4.65 tff(4882,plain,
% 4.48/4.65 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s1, c_invalidate)) | (~node35(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s1, c_invalidate)) | (~node35(c_p1, s1)))),
% 4.48/4.65 inference(rewrite,[status(thm)],[])).
% 4.48/4.65 tff(4883,plain,
% 4.48/4.65 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s1, c_invalidate)) | (~node35(c_p1, s1)))),
% 4.48/4.65 inference(quant_inst,[status(thm)],[])).
% 4.48/4.65 tff(4884,plain,
% 4.48/4.65 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s1, c_invalidate)) | (~node35(c_p1, s1))),
% 4.48/4.65 inference(modus_ponens,[status(thm)],[4883, 4882])).
% 4.48/4.65 tff(4885,plain,
% 4.48/4.65 (~m_processor_v_CMD(c_p1, s1, c_invalidate)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4884, 2031, 1958])).
% 4.48/4.65 tff(4886,assumption,(node36(c_p1, s1)), introduced(assumption)).
% 4.48/4.65 tff(4887,plain,
% 4.48/4.65 (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[1971, 1958])).
% 4.48/4.65 tff(4888,plain,
% 4.48/4.65 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | ((~node36(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned) | m_processor_v_CMD(c_p1, s1, c_invalidate))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (~node36(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned) | m_processor_v_CMD(c_p1, s1, c_invalidate))),
% 4.48/4.65 inference(rewrite,[status(thm)],[])).
% 4.48/4.65 tff(4889,plain,
% 4.48/4.65 ((m_processor_v_CMD(c_p1, s1, c_invalidate) | (~node36(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned)) <=> ((~node36(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned) | m_processor_v_CMD(c_p1, s1, c_invalidate))),
% 4.48/4.65 inference(rewrite,[status(thm)],[])).
% 4.48/4.65 tff(4890,plain,
% 4.48/4.65 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s1, c_invalidate) | (~node36(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | ((~node36(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned) | m_processor_v_CMD(c_p1, s1, c_invalidate)))),
% 4.48/4.65 inference(monotonicity,[status(thm)],[4889])).
% 4.48/4.65 tff(4891,plain,
% 4.48/4.65 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s1, c_invalidate) | (~node36(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (~node36(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned) | m_processor_v_CMD(c_p1, s1, c_invalidate))),
% 4.48/4.65 inference(transitivity,[status(thm)],[4890, 4888])).
% 4.48/4.65 tff(4892,plain,
% 4.48/4.65 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s1, c_invalidate) | (~node36(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned))),
% 4.48/4.65 inference(quant_inst,[status(thm)],[])).
% 4.48/4.65 tff(4893,plain,
% 4.48/4.65 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (~node36(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned) | m_processor_v_CMD(c_p1, s1, c_invalidate)),
% 4.48/4.65 inference(modus_ponens,[status(thm)],[4892, 4891])).
% 4.48/4.65 tff(4894,plain,
% 4.48/4.65 ($false),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4893, 2067, 4887, 4886, 4885])).
% 4.48/4.65 tff(4895,plain,((~node36(c_p1, s1)) | (~node35(c_p1, s1))), inference(lemma,lemma(discharge,[]))).
% 4.48/4.65 tff(4896,plain,
% 4.48/4.65 (~node36(c_p1, s1)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4895, 4881])).
% 4.48/4.65 tff(4897,plain,
% 4.48/4.65 (~m_processor_v_abort(c_p1, s1)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[1893, 4877])).
% 4.48/4.65 tff(4898,plain,
% 4.48/4.65 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | node36(c_p1, s1) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | (~node38(c_p1, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | node36(c_p1, s1) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | (~node38(c_p1, s1, s2)))),
% 4.48/4.65 inference(rewrite,[status(thm)],[])).
% 4.48/4.65 tff(4899,plain,
% 4.48/4.65 (((~m_processor_v_state(c_p1, s1, c_shared)) | node36(c_p1, s1) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s2, c_invalid) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1)) <=> (m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | node36(c_p1, s1) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | (~node38(c_p1, s1, s2)))),
% 4.48/4.65 inference(rewrite,[status(thm)],[])).
% 4.48/4.65 tff(4900,plain,
% 4.48/4.65 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s1, c_shared)) | node36(c_p1, s1) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s2, c_invalid) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | node36(c_p1, s1) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | (~node38(c_p1, s1, s2))))),
% 4.48/4.65 inference(monotonicity,[status(thm)],[4899])).
% 4.48/4.65 tff(4901,plain,
% 4.48/4.65 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s1, c_shared)) | node36(c_p1, s1) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s2, c_invalid) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | node36(c_p1, s1) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | (~node38(c_p1, s1, s2)))),
% 4.48/4.65 inference(transitivity,[status(thm)],[4900, 4898])).
% 4.48/4.65 tff(4902,plain,
% 4.48/4.65 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s1, c_shared)) | node36(c_p1, s1) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s2, c_invalid) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))),
% 4.48/4.65 inference(quant_inst,[status(thm)],[])).
% 4.48/4.65 tff(4903,plain,
% 4.48/4.65 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | node36(c_p1, s1) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | (~node38(c_p1, s1, s2))),
% 4.48/4.65 inference(modus_ponens,[status(thm)],[4902, 4901])).
% 4.48/4.65 tff(4904,plain,
% 4.48/4.65 ($false),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4903, 2049, 1770, 1874, 1853, 4897, 1365, 3, 4896])).
% 4.48/4.65 tff(4905,plain,(m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.48/4.65 tff(4906,plain,
% 4.48/4.65 (~m_processor_v_state(c_p1, s1, c_shared)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4905, 1851, 3, 4868])).
% 4.48/4.65 tff(4907,plain,
% 4.48/4.65 (m_processor_v_state(c_p1, s1, c_owned)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4858, 4906, 4861, 1851])).
% 4.48/4.65 tff(4908,plain,
% 4.48/4.65 (~m_processor_v_state(c_p1, s1, c_invalid)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[2856, 4907])).
% 4.48/4.65 tff(4909,plain,
% 4.48/4.65 (m_processor_v_master(c_p1, s0)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[142, 4908])).
% 4.48/4.65 tff(4910,plain,
% 4.48/4.65 (~node17(s0)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[157, 4909])).
% 4.48/4.65 tff(4911,plain,
% 4.48/4.65 (~m_memory_v_master(c_m, s0)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[172, 4910])).
% 4.48/4.65 tff(4912,plain,
% 4.48/4.65 (m_memory_v_abort(c_m, s0)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[219, 4911, 4, 6])).
% 4.48/4.65 tff(4913,plain,
% 4.48/4.65 (m_memory_v_REPLY_h_STALL(c_m, s0)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[481, 4912])).
% 4.48/4.65 tff(4914,plain,
% 4.48/4.65 (~node32(c_p1, s0, s1)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[36, 4908])).
% 4.48/4.65 tff(4915,plain,
% 4.48/4.65 (~m_processor_v_abort(c_p1, s0)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[84, 4914])).
% 4.48/4.65 tff(4916,plain,
% 4.48/4.65 (node60(c_p1, s0)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[496, 4915])).
% 4.48/4.65 tff(4917,plain,
% 4.48/4.65 (~m_processor_v_REPLY_h_STALL(c_p0, s0)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[543, 4916])).
% 4.48/4.65 tff(4918,plain,
% 4.48/4.65 (~m_main_v_REPLY_h_STALL(s0)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[560, 4917])).
% 4.48/4.65 tff(4919,plain,
% 4.48/4.65 ($false),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[578, 4918, 4913])).
% 4.48/4.65 tff(4920,plain,(node20(c_m, s0) | m_memory_v_busy(c_m, s1) | m_processor_v_state(c_p1, s2, c_invalid) | (~m_processor_v_state(c_p0, s2, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.48/4.65 tff(4921,plain,
% 4.48/4.65 (node20(c_m, s0)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4920, 4, 3, 1769])).
% 4.48/4.65 tff(4922,plain,
% 4.48/4.65 (~m_memory_v_CMD(c_m, s0, c_read_h_shared)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[1358, 4921])).
% 4.48/4.65 tff(4923,plain,
% 4.48/4.65 (~m_main_v_CMD(s0, c_read_h_shared)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[1341, 4922])).
% 4.48/4.65 tff(4924,plain,
% 4.48/4.65 (~m_memory_v_CMD(c_m, s0, c_read_h_owned)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[598, 4921])).
% 4.48/4.65 tff(4925,plain,
% 4.48/4.65 (~m_main_v_CMD(s0, c_read_h_owned)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[627, 4924])).
% 4.48/4.65 tff(4926,plain,
% 4.48/4.65 (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[1504, 4925])).
% 4.48/4.65 tff(4927,plain,
% 4.48/4.65 (m_processor_v_state(c_p1, s1, c_invalid)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[1311, 4926, 4923])).
% 4.48/4.65 tff(4928,plain,
% 4.48/4.65 (~m_processor_v_state(c_p1, s1, c_owned)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[2856, 4927])).
% 4.48/4.65 tff(4929,plain,
% 4.48/4.65 (~node37(c_p1, s1, s2)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[3255, 4928, 4861])).
% 4.48/4.65 tff(4930,plain,
% 4.48/4.65 (~node32(c_p1, s1, s2)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[1927, 4927, 3])).
% 4.48/4.65 tff(4931,plain,
% 4.48/4.65 (~m_processor_v_abort(c_p1, s1)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[1893, 4930])).
% 4.48/4.65 tff(4932,plain,
% 4.48/4.65 ($false),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[2214, 4931, 4929, 1769, 3, 1768])).
% 4.48/4.65 tff(4933,plain,(m_memory_v_busy(c_m, s1) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_state(c_p1, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.48/4.65 tff(4934,plain,
% 4.48/4.65 (~m_processor_v_state(c_p0, s2, c_owned)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4933, 4, 3])).
% 4.48/4.65 tff(4935,plain,
% 4.48/4.65 (~node32(c_p1, s1, s2)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[1927, 1507, 3])).
% 4.48/4.65 tff(4936,plain,
% 4.48/4.65 (~m_processor_v_abort(c_p1, s1)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[1893, 4935])).
% 4.48/4.65 tff(4937,plain,
% 4.48/4.65 (~m_processor_v_state(c_p1, s2, c_shared)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4867, 1373, 4845])).
% 4.48/4.65 tff(4938,assumption,(node57(c_p1, s1)), introduced(assumption)).
% 4.48/4.65 tff(4939,plain,
% 4.48/4.65 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p1, s1, c_owned) | (~node57(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | m_processor_v_state(c_p1, s1, c_owned) | (~node57(c_p1, s1)))),
% 4.48/4.65 inference(rewrite,[status(thm)],[])).
% 4.48/4.65 tff(4940,plain,
% 4.48/4.65 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p1, s1, c_owned) | (~node57(c_p1, s1)))),
% 4.48/4.65 inference(quant_inst,[status(thm)],[])).
% 4.48/4.65 tff(4941,plain,
% 4.48/4.65 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | m_processor_v_state(c_p1, s1, c_owned) | (~node57(c_p1, s1))),
% 4.48/4.65 inference(modus_ponens,[status(thm)],[4940, 4939])).
% 4.48/4.65 tff(4942,plain,
% 4.48/4.65 ($false),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4941, 239, 629, 4938])).
% 4.48/4.65 tff(4943,plain,((~node57(c_p1, s1)) | m_processor_v_state(c_p1, s1, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.48/4.65 tff(4944,plain,
% 4.48/4.65 (~node57(c_p1, s1)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4943, 4846])).
% 4.48/4.65 tff(4945,assumption,(m_processor_v_reply_h_owned(c_p1, s1)), introduced(assumption)).
% 4.48/4.65 tff(4946,assumption,(~node57(c_p1, s1)), introduced(assumption)).
% 4.48/4.65 tff(4947,plain,
% 4.48/4.65 (((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p1, s1)) | node57(c_p1, s1))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p1, s1)) | node57(c_p1, s1))),
% 4.48/4.65 inference(rewrite,[status(thm)],[])).
% 4.48/4.65 tff(4948,plain,
% 4.48/4.65 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p1, s1)) | node57(c_p1, s1))),
% 4.48/4.65 inference(quant_inst,[status(thm)],[])).
% 4.48/4.65 tff(4949,plain,
% 4.48/4.65 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p1, s1)) | node57(c_p1, s1)),
% 4.48/4.65 inference(modus_ponens,[status(thm)],[4948, 4947])).
% 4.48/4.65 tff(4950,plain,
% 4.48/4.65 ($false),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4949, 252, 4946, 4945])).
% 4.48/4.65 tff(4951,plain,((~m_processor_v_reply_h_owned(c_p1, s1)) | node57(c_p1, s1)), inference(lemma,lemma(discharge,[]))).
% 4.48/4.65 tff(4952,plain,
% 4.48/4.65 (~m_processor_v_reply_h_owned(c_p1, s1)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4951, 4944])).
% 4.48/4.65 tff(4953,plain,
% 4.48/4.65 (~m_processor_v_cmd(c_p1, s1, c_idle)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[3562, 1844, 4846])).
% 4.48/4.65 tff(4954,plain,
% 4.48/4.65 (node10(s1)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[3655, 4953])).
% 4.48/4.65 tff(4955,assumption,(m_main_v_CMD(s1, c_response)), introduced(assumption)).
% 4.48/4.65 tff(4956,plain,
% 4.48/4.65 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_response) | (~m_main_v_CMD(s1, c_response)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_response) | (~m_main_v_CMD(s1, c_response)))),
% 4.48/4.65 inference(rewrite,[status(thm)],[])).
% 4.48/4.65 tff(4957,plain,
% 4.48/4.65 (((~m_main_v_CMD(s1, c_response)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_response)) <=> ((~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_response) | (~m_main_v_CMD(s1, c_response)))),
% 4.48/4.65 inference(rewrite,[status(thm)],[])).
% 4.48/4.65 tff(4958,plain,
% 4.48/4.65 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_response)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_response))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_response) | (~m_main_v_CMD(s1, c_response))))),
% 4.48/4.65 inference(monotonicity,[status(thm)],[4957])).
% 4.48/4.65 tff(4959,plain,
% 4.48/4.65 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_response)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_response))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_response) | (~m_main_v_CMD(s1, c_response)))),
% 4.48/4.65 inference(transitivity,[status(thm)],[4958, 4956])).
% 4.48/4.65 tff(4960,plain,
% 4.48/4.65 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_response)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_response))),
% 4.48/4.65 inference(quant_inst,[status(thm)],[])).
% 4.48/4.65 tff(4961,plain,
% 4.48/4.65 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_response) | (~m_main_v_CMD(s1, c_response))),
% 4.48/4.65 inference(modus_ponens,[status(thm)],[4960, 4959])).
% 4.48/4.65 tff(4962,plain,
% 4.48/4.65 (m_processor_v_cmd(c_p1, s1, c_response)),
% 4.48/4.65 inference(unit_resolution,[status(thm)],[4961, 1150, 4955, 3564])).
% 4.48/4.65 tff(4963,plain,
% 4.48/4.65 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response))))),
% 4.48/4.66 inference(bind,[status(th)],[])).
% 4.48/4.66 tff(4964,plain,
% 4.48/4.66 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.48/4.66 inference(quant_intro,[status(thm)],[4963])).
% 4.48/4.66 tff(4965,plain,
% 4.48/4.66 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.48/4.66 inference(rewrite,[status(thm)],[])).
% 4.48/4.66 tff(4966,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_27')).
% 4.48/4.66 tff(4967,plain,
% 4.48/4.66 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[4966, 4965])).
% 4.48/4.66 tff(4968,plain,(
% 4.48/4.66 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.48/4.66 inference(skolemize,[status(sab)],[4967])).
% 4.48/4.66 tff(4969,plain,
% 4.48/4.66 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[4968, 4964])).
% 4.48/4.66 tff(4970,plain,
% 4.48/4.66 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s1, c_response)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p1, s1, c_response)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_invalid)))),
% 4.48/4.66 inference(rewrite,[status(thm)],[])).
% 4.48/4.66 tff(4971,plain,
% 4.48/4.66 (((~m_processor_v_cmd(c_p1, s1, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s1, c_response))) <=> ((~m_processor_v_cmd(c_p1, s1, c_response)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_invalid)))),
% 4.48/4.66 inference(rewrite,[status(thm)],[])).
% 4.48/4.66 tff(4972,plain,
% 4.48/4.66 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s1, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s1, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s1, c_response)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_invalid))))),
% 4.48/4.66 inference(monotonicity,[status(thm)],[4971])).
% 4.48/4.66 tff(4973,plain,
% 4.48/4.66 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s1, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s1, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p1, s1, c_response)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_invalid)))),
% 4.48/4.66 inference(transitivity,[status(thm)],[4972, 4970])).
% 4.48/4.66 tff(4974,plain,
% 4.48/4.66 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s1, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s1, c_response)))),
% 4.48/4.66 inference(quant_inst,[status(thm)],[])).
% 4.48/4.66 tff(4975,plain,
% 4.48/4.66 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p1, s1, c_response)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_invalid))),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[4974, 4973])).
% 4.48/4.66 tff(4976,plain,
% 4.48/4.66 (~m_processor_v_cmd(c_p1, s1, c_write_h_invalid)),
% 4.48/4.66 inference(unit_resolution,[status(thm)],[4975, 4969, 4962])).
% 4.48/4.66 tff(4977,assumption,(m_processor_v_cmd(c_p1, s1, c_response)), introduced(assumption)).
% 4.48/4.66 tff(4978,plain,
% 4.48/4.66 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response))))),
% 4.48/4.66 inference(bind,[status(th)],[])).
% 4.48/4.66 tff(4979,plain,
% 4.48/4.66 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.48/4.66 inference(quant_intro,[status(thm)],[4978])).
% 4.48/4.66 tff(4980,plain,
% 4.48/4.66 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.48/4.66 inference(rewrite,[status(thm)],[])).
% 4.48/4.66 tff(4981,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_22')).
% 4.48/4.66 tff(4982,plain,
% 4.48/4.66 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[4981, 4980])).
% 4.48/4.66 tff(4983,plain,(
% 4.48/4.66 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.48/4.66 inference(skolemize,[status(sab)],[4982])).
% 4.48/4.66 tff(4984,plain,
% 4.48/4.66 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[4983, 4979])).
% 4.48/4.66 tff(4985,plain,
% 4.48/4.66 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_response)))),
% 4.48/4.66 inference(rewrite,[status(thm)],[])).
% 4.48/4.66 tff(4986,plain,
% 4.48/4.66 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_response)))),
% 4.48/4.66 inference(quant_inst,[status(thm)],[])).
% 4.48/4.66 tff(4987,plain,
% 4.48/4.66 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_response))),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[4986, 4985])).
% 4.48/4.66 tff(4988,plain,
% 4.48/4.66 (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)),
% 4.48/4.66 inference(unit_resolution,[status(thm)],[4987, 4984, 4977])).
% 4.48/4.66 tff(4989,plain,
% 4.48/4.66 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response))))),
% 4.48/4.66 inference(bind,[status(th)],[])).
% 4.48/4.66 tff(4990,plain,
% 4.48/4.66 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.48/4.66 inference(quant_intro,[status(thm)],[4989])).
% 4.48/4.66 tff(4991,plain,
% 4.48/4.66 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.48/4.66 inference(rewrite,[status(thm)],[])).
% 4.48/4.66 tff(4992,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_16')).
% 4.48/4.66 tff(4993,plain,
% 4.48/4.66 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[4992, 4991])).
% 4.48/4.66 tff(4994,plain,(
% 4.48/4.66 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.48/4.66 inference(skolemize,[status(sab)],[4993])).
% 4.48/4.66 tff(4995,plain,
% 4.48/4.66 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[4994, 4990])).
% 4.48/4.66 tff(4996,plain,
% 4.48/4.66 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s1, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s1, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s1, c_response)))),
% 4.48/4.66 inference(rewrite,[status(thm)],[])).
% 4.48/4.66 tff(4997,plain,
% 4.48/4.66 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s1, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s1, c_response)))),
% 4.48/4.66 inference(quant_inst,[status(thm)],[])).
% 4.48/4.66 tff(4998,plain,
% 4.48/4.66 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s1, c_response))),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[4997, 4996])).
% 4.48/4.66 tff(4999,plain,
% 4.48/4.66 (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)),
% 4.48/4.66 inference(unit_resolution,[status(thm)],[4998, 4995, 4977])).
% 4.48/4.66 tff(5000,plain,
% 4.48/4.66 ($false),
% 4.48/4.66 inference(unit_resolution,[status(thm)],[3560, 4999, 4988, 629, 1844])).
% 4.48/4.66 tff(5001,plain,((~m_processor_v_cmd(c_p1, s1, c_response)) | m_processor_v_state(c_p1, s1, c_owned) | (~m_processor_v_master(c_p1, s1))), inference(lemma,lemma(discharge,[]))).
% 4.48/4.66 tff(5002,plain,
% 4.48/4.66 (m_processor_v_state(c_p1, s1, c_owned)),
% 4.48/4.66 inference(unit_resolution,[status(thm)],[5001, 4962, 1844])).
% 4.48/4.66 tff(5003,plain,
% 4.48/4.66 (~m_processor_v_state(c_p1, s1, c_shared)),
% 4.48/4.66 inference(unit_resolution,[status(thm)],[1381, 5002])).
% 4.48/4.66 tff(5004,assumption,(node63(c_p1, s1)), introduced(assumption)).
% 4.48/4.66 tff(5005,plain,
% 4.48/4.66 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~node63(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s1, c_shared) | (~node63(c_p1, s1)))),
% 4.48/4.66 inference(rewrite,[status(thm)],[])).
% 4.48/4.66 tff(5006,plain,
% 4.48/4.66 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~node63(c_p1, s1)))),
% 4.48/4.66 inference(quant_inst,[status(thm)],[])).
% 4.48/4.66 tff(5007,plain,
% 4.48/4.66 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s1, c_shared) | (~node63(c_p1, s1))),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[5006, 5005])).
% 4.48/4.66 tff(5008,plain,
% 4.48/4.66 ($false),
% 4.48/4.66 inference(unit_resolution,[status(thm)],[5007, 836, 1383, 5004])).
% 4.48/4.66 tff(5009,plain,((~node63(c_p1, s1)) | m_processor_v_state(c_p1, s1, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.48/4.66 tff(5010,plain,
% 4.48/4.66 (~node63(c_p1, s1)),
% 4.48/4.66 inference(unit_resolution,[status(thm)],[5009, 5003])).
% 4.48/4.66 tff(5011,plain,
% 4.48/4.66 (^[X: $i] : refl(((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response))) <=> ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response))))),
% 4.48/4.66 inference(bind,[status(th)],[])).
% 4.48/4.66 tff(5012,plain,
% 4.48/4.66 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))),
% 4.48/4.66 inference(quant_intro,[status(thm)],[5011])).
% 4.48/4.66 tff(5013,plain,
% 4.48/4.66 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))),
% 4.48/4.66 inference(rewrite,[status(thm)],[])).
% 4.48/4.66 tff(5014,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_34')).
% 4.48/4.66 tff(5015,plain,
% 4.48/4.66 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[5014, 5013])).
% 4.48/4.66 tff(5016,plain,(
% 4.48/4.66 ![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))),
% 4.48/4.66 inference(skolemize,[status(sab)],[5015])).
% 4.48/4.66 tff(5017,plain,
% 4.48/4.66 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[5016, 5012])).
% 4.48/4.66 tff(5018,plain,
% 4.48/4.66 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s1, c_response)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s1, c_response)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)))),
% 4.48/4.66 inference(rewrite,[status(thm)],[])).
% 4.48/4.66 tff(5019,plain,
% 4.48/4.66 (((~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s1, c_response))) <=> ((~m_main_v_CMD(s1, c_response)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)))),
% 4.48/4.66 inference(rewrite,[status(thm)],[])).
% 4.48/4.66 tff(5020,plain,
% 4.48/4.66 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s1, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s1, c_response)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid))))),
% 4.48/4.66 inference(monotonicity,[status(thm)],[5019])).
% 4.48/4.66 tff(5021,plain,
% 4.48/4.66 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s1, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s1, c_response)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)))),
% 4.48/4.66 inference(transitivity,[status(thm)],[5020, 5018])).
% 4.48/4.66 tff(5022,plain,
% 4.48/4.66 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s1, c_response)))),
% 4.48/4.66 inference(quant_inst,[status(thm)],[])).
% 4.48/4.66 tff(5023,plain,
% 4.48/4.66 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s1, c_response)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid))),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[5022, 5021])).
% 4.48/4.66 tff(5024,plain,
% 4.48/4.66 (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)),
% 4.48/4.66 inference(unit_resolution,[status(thm)],[5023, 5017, 4955])).
% 4.48/4.66 tff(5025,assumption,(m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid)), introduced(assumption)).
% 4.48/4.66 tff(5026,assumption,(~m_main_v_CMD(s1, c_write_h_resp_h_invalid)), introduced(assumption)).
% 4.48/4.66 tff(5027,plain,
% 4.48/4.66 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid)) | m_main_v_CMD(s1, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid)) | m_main_v_CMD(s1, c_write_h_resp_h_invalid))),
% 4.48/4.66 inference(rewrite,[status(thm)],[])).
% 4.48/4.66 tff(5028,plain,
% 4.48/4.66 ((m_main_v_CMD(s1, c_write_h_resp_h_invalid) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid))) <=> ((~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid)) | m_main_v_CMD(s1, c_write_h_resp_h_invalid))),
% 4.48/4.66 inference(rewrite,[status(thm)],[])).
% 4.48/4.66 tff(5029,plain,
% 4.48/4.66 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s1, c_write_h_resp_h_invalid) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid)) | m_main_v_CMD(s1, c_write_h_resp_h_invalid)))),
% 4.48/4.66 inference(monotonicity,[status(thm)],[5028])).
% 4.48/4.66 tff(5030,plain,
% 4.48/4.66 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s1, c_write_h_resp_h_invalid) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid)) | m_main_v_CMD(s1, c_write_h_resp_h_invalid))),
% 4.48/4.66 inference(transitivity,[status(thm)],[5029, 5027])).
% 4.48/4.66 tff(5031,plain,
% 4.48/4.66 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s1, c_write_h_resp_h_invalid) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid)))),
% 4.48/4.66 inference(quant_inst,[status(thm)],[])).
% 4.48/4.66 tff(5032,plain,
% 4.48/4.66 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid)) | m_main_v_CMD(s1, c_write_h_resp_h_invalid)),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[5031, 5030])).
% 4.48/4.66 tff(5033,plain,
% 4.48/4.66 ($false),
% 4.48/4.66 inference(unit_resolution,[status(thm)],[5032, 1012, 5026, 5025, 3564])).
% 4.48/4.66 tff(5034,plain,((~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid)) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | (~node10(s1))), inference(lemma,lemma(discharge,[]))).
% 4.48/4.66 tff(5035,plain,
% 4.48/4.66 (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid)),
% 4.48/4.66 inference(unit_resolution,[status(thm)],[5034, 5024, 3564])).
% 4.48/4.66 tff(5036,plain,
% 4.48/4.66 (~m_processor_v_state(c_p1, s1, c_invalid)),
% 4.48/4.66 inference(unit_resolution,[status(thm)],[2856, 5002])).
% 4.48/4.66 tff(5037,plain,
% 4.48/4.66 (~node62(c_p1, s1)),
% 4.48/4.66 inference(unit_resolution,[status(thm)],[3547, 2660, 5036])).
% 4.48/4.66 tff(5038,plain,
% 4.48/4.66 (^[I0: $i, X: $i] : refl((m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)) <=> (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)))),
% 4.48/4.66 inference(bind,[status(th)],[])).
% 4.48/4.66 tff(5039,plain,
% 4.48/4.66 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))),
% 4.48/4.66 inference(quant_intro,[status(thm)],[5038])).
% 4.48/4.66 tff(5040,plain,
% 4.48/4.66 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))),
% 4.48/4.66 inference(rewrite,[status(thm)],[])).
% 4.48/4.66 tff(5041,plain,
% 4.48/4.66 (^[I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node62(I0, X) | node63(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))), ((((node62(I0, X) | node63(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) <=> (((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)) | (~m_processor_v_state(I0, X, c_owned))))), rewrite((((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))), ((((node62(I0, X) | node63(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)))), (((((node62(I0, X) | node63(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_owned))) <=> (((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)) | (~m_processor_v_snoop(I0, X, c_owned))))), rewrite((((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)) | (~m_processor_v_snoop(I0, X, c_owned))) <=> ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))), (((((node62(I0, X) | node63(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_owned))) <=> ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)))), ((((((node62(I0, X) | node63(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_owned))) | m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) <=> (((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)) | m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))), rewrite((((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)) | m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) <=> (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))), ((((((node62(I0, X) | node63(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_owned))) | m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) <=> (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))))),
% 4.48/4.66 inference(bind,[status(th)],[])).
% 4.48/4.66 tff(5042,plain,
% 4.48/4.66 (![I0: $i, X: $i] : (((((node62(I0, X) | node63(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_owned))) | m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))),
% 4.48/4.66 inference(quant_intro,[status(thm)],[5041])).
% 4.48/4.66 tff(5043,axiom,(![I0: $i, X: $i] : (((((node62(I0, X) | node63(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_owned))) | m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_157')).
% 4.48/4.66 tff(5044,plain,
% 4.48/4.66 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[5043, 5042])).
% 4.48/4.66 tff(5045,plain,
% 4.48/4.66 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[5044, 5040])).
% 4.48/4.66 tff(5046,plain,(
% 4.48/4.66 ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))),
% 4.48/4.66 inference(skolemize,[status(sab)],[5045])).
% 4.48/4.66 tff(5047,plain,
% 4.48/4.66 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[5046, 5039])).
% 4.48/4.66 tff(5048,plain,
% 4.48/4.66 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s1, c_owned)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s1, c_owned)))),
% 4.48/4.66 inference(rewrite,[status(thm)],[])).
% 4.48/4.66 tff(5049,plain,
% 4.48/4.66 ((m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s1, c_owned)) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1)) <=> ((~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s1, c_owned)))),
% 4.48/4.66 inference(rewrite,[status(thm)],[])).
% 4.48/4.66 tff(5050,plain,
% 4.48/4.66 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s1, c_owned)) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s1, c_owned))))),
% 4.48/4.66 inference(monotonicity,[status(thm)],[5049])).
% 4.48/4.66 tff(5051,plain,
% 4.48/4.66 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s1, c_owned)) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s1, c_owned)))),
% 4.48/4.66 inference(transitivity,[status(thm)],[5050, 5048])).
% 4.48/4.66 tff(5052,plain,
% 4.48/4.66 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s1, c_owned)) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1))),
% 4.48/4.66 inference(quant_inst,[status(thm)],[])).
% 4.48/4.66 tff(5053,plain,
% 4.48/4.66 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s1, c_owned))),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[5052, 5051])).
% 4.48/4.66 tff(5054,plain,
% 4.48/4.66 ((~m_processor_v_state(c_p1, s1, c_owned)) | node62(c_p1, s1) | node63(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s1, c_owned))),
% 4.48/4.66 inference(unit_resolution,[status(thm)],[5053, 5047, 1844])).
% 4.48/4.66 tff(5055,plain,
% 4.48/4.66 (~m_processor_v_snoop(c_p1, s1, c_owned)),
% 4.48/4.66 inference(unit_resolution,[status(thm)],[5054, 5037, 5002, 5035, 5010])).
% 4.48/4.66 tff(5056,plain,
% 4.48/4.66 (^[I0: $i, X: $i] : refl((m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X))) <=> (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X))))),
% 4.48/4.66 inference(bind,[status(th)],[])).
% 4.48/4.66 tff(5057,plain,
% 4.48/4.66 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))),
% 4.48/4.66 inference(quant_intro,[status(thm)],[5056])).
% 4.48/4.66 tff(5058,plain,
% 4.48/4.66 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))),
% 4.48/4.66 inference(rewrite,[status(thm)],[])).
% 4.48/4.66 tff(5059,axiom,(![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_148')).
% 4.48/4.66 tff(5060,plain,
% 4.48/4.66 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[5059, 5058])).
% 4.48/4.66 tff(5061,plain,(
% 4.48/4.66 ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))),
% 4.48/4.66 inference(skolemize,[status(sab)],[5060])).
% 4.48/4.66 tff(5062,plain,
% 4.48/4.66 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[5061, 5057])).
% 4.48/4.66 tff(5063,plain,
% 4.48/4.66 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p1, s1, c_owned) | (~node64(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p1, s1, c_owned) | (~node64(c_p1, s1)))),
% 4.48/4.66 inference(rewrite,[status(thm)],[])).
% 4.48/4.66 tff(5064,plain,
% 4.48/4.66 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p1, s1, c_owned) | (~node64(c_p1, s1)))),
% 4.48/4.66 inference(quant_inst,[status(thm)],[])).
% 4.48/4.66 tff(5065,plain,
% 4.48/4.66 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p1, s1, c_owned) | (~node64(c_p1, s1))),
% 4.48/4.66 inference(modus_ponens,[status(thm)],[5064, 5063])).
% 4.51/4.66 tff(5066,plain,
% 4.51/4.66 (~node64(c_p1, s1)),
% 4.51/4.66 inference(unit_resolution,[status(thm)],[5065, 5062, 5055])).
% 4.51/4.66 tff(5067,plain,
% 4.51/4.66 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response))))),
% 4.51/4.66 inference(bind,[status(th)],[])).
% 4.51/4.66 tff(5068,plain,
% 4.51/4.66 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.51/4.66 inference(quant_intro,[status(thm)],[5067])).
% 4.51/4.66 tff(5069,plain,
% 4.51/4.66 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.51/4.66 inference(rewrite,[status(thm)],[])).
% 4.51/4.66 tff(5070,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_36')).
% 4.51/4.66 tff(5071,plain,
% 4.51/4.66 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.51/4.66 inference(modus_ponens,[status(thm)],[5070, 5069])).
% 4.51/4.66 tff(5072,plain,(
% 4.51/4.66 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.51/4.66 inference(skolemize,[status(sab)],[5071])).
% 4.51/4.66 tff(5073,plain,
% 4.51/4.66 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.51/4.66 inference(modus_ponens,[status(thm)],[5072, 5068])).
% 4.51/4.66 tff(5074,plain,
% 4.51/4.66 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s1, c_response)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p1, s1, c_response)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared)))),
% 4.51/4.66 inference(rewrite,[status(thm)],[])).
% 4.51/4.66 tff(5075,plain,
% 4.51/4.66 (((~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p1, s1, c_response))) <=> ((~m_processor_v_cmd(c_p1, s1, c_response)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared)))),
% 4.51/4.66 inference(rewrite,[status(thm)],[])).
% 4.51/4.66 tff(5076,plain,
% 4.51/4.66 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p1, s1, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s1, c_response)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared))))),
% 4.51/4.66 inference(monotonicity,[status(thm)],[5075])).
% 4.51/4.66 tff(5077,plain,
% 4.51/4.66 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p1, s1, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p1, s1, c_response)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared)))),
% 4.51/4.66 inference(transitivity,[status(thm)],[5076, 5074])).
% 4.51/4.66 tff(5078,plain,
% 4.51/4.66 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p1, s1, c_response)))),
% 4.51/4.66 inference(quant_inst,[status(thm)],[])).
% 4.51/4.66 tff(5079,plain,
% 4.51/4.66 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p1, s1, c_response)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared))),
% 4.51/4.66 inference(modus_ponens,[status(thm)],[5078, 5077])).
% 4.51/4.66 tff(5080,plain,
% 4.51/4.66 (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared)),
% 4.51/4.66 inference(unit_resolution,[status(thm)],[5079, 5073, 4962])).
% 4.51/4.66 tff(5081,plain,
% 4.51/4.66 (^[I0: $i, X: $i] : refl((m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)) <=> (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)))),
% 4.51/4.66 inference(bind,[status(th)],[])).
% 4.51/4.66 tff(5082,plain,
% 4.51/4.66 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))),
% 4.51/4.66 inference(quant_intro,[status(thm)],[5081])).
% 4.51/4.66 tff(5083,plain,
% 4.51/4.66 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))),
% 4.51/4.66 inference(rewrite,[status(thm)],[])).
% 4.51/4.66 tff(5084,plain,
% 4.51/4.66 (^[I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node62(I0, X) | node63(I0, X)) | node64(I0, X)) <=> (node62(I0, X) | node63(I0, X) | node64(I0, X))), ((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((node62(I0, X) | node63(I0, X) | node64(I0, X)) | (~m_processor_v_master(I0, X))))), rewrite(((node62(I0, X) | node63(I0, X) | node64(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))), ((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)))), (((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) <=> (((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)) | (~m_processor_v_state(I0, X, c_owned))))), rewrite((((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))), (((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)))), ((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_shared))) <=> (((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)) | (~m_processor_v_snoop(I0, X, c_shared))))), rewrite((((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)) | (~m_processor_v_snoop(I0, X, c_shared))) <=> ((~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))), ((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_shared))) <=> ((~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)))), (((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_shared))) | m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) <=> (((~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)) | m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))), rewrite((((~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)) | m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) <=> (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))), (((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_shared))) | m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) <=> (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))))),
% 4.51/4.67 inference(bind,[status(th)],[])).
% 4.51/4.67 tff(5085,plain,
% 4.51/4.67 (![I0: $i, X: $i] : ((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_shared))) | m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))),
% 4.51/4.67 inference(quant_intro,[status(thm)],[5084])).
% 4.51/4.67 tff(5086,axiom,(![I0: $i, X: $i] : ((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_shared))) | m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_158')).
% 4.51/4.67 tff(5087,plain,
% 4.51/4.67 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5086, 5085])).
% 4.51/4.67 tff(5088,plain,
% 4.51/4.67 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5087, 5083])).
% 4.51/4.67 tff(5089,plain,(
% 4.51/4.67 ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))),
% 4.51/4.67 inference(skolemize,[status(sab)],[5088])).
% 4.51/4.67 tff(5090,plain,
% 4.51/4.67 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5089, 5082])).
% 4.51/4.67 tff(5091,plain,
% 4.51/4.67 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s1, c_shared)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s1, c_shared)))),
% 4.51/4.67 inference(rewrite,[status(thm)],[])).
% 4.51/4.67 tff(5092,plain,
% 4.51/4.67 ((m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s1, c_shared)) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1)) <=> ((~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s1, c_shared)))),
% 4.51/4.67 inference(rewrite,[status(thm)],[])).
% 4.51/4.67 tff(5093,plain,
% 4.51/4.67 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s1, c_shared)) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s1, c_shared))))),
% 4.51/4.67 inference(monotonicity,[status(thm)],[5092])).
% 4.51/4.67 tff(5094,plain,
% 4.51/4.67 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s1, c_shared)) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s1, c_shared)))),
% 4.51/4.67 inference(transitivity,[status(thm)],[5093, 5091])).
% 4.51/4.67 tff(5095,plain,
% 4.51/4.67 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s1, c_shared)) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1))),
% 4.51/4.67 inference(quant_inst,[status(thm)],[])).
% 4.51/4.67 tff(5096,plain,
% 4.51/4.67 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s1, c_shared))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5095, 5094])).
% 4.51/4.67 tff(5097,plain,
% 4.51/4.67 ((~m_processor_v_state(c_p1, s1, c_owned)) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s1, c_shared))),
% 4.51/4.67 inference(unit_resolution,[status(thm)],[5096, 5090, 1844])).
% 4.51/4.67 tff(5098,plain,
% 4.51/4.67 (~m_processor_v_snoop(c_p1, s1, c_shared)),
% 4.51/4.67 inference(unit_resolution,[status(thm)],[5097, 5066, 5002, 5010, 5037, 5080])).
% 4.51/4.67 tff(5099,plain,
% 4.51/4.67 (^[I0: $i, X: $i] : refl((m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid)) <=> (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid)))),
% 4.51/4.67 inference(bind,[status(th)],[])).
% 4.51/4.67 tff(5100,plain,
% 4.51/4.67 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid)) <=> ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))),
% 4.51/4.67 inference(quant_intro,[status(thm)],[5099])).
% 4.51/4.67 tff(5101,plain,
% 4.51/4.67 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid)) <=> ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))),
% 4.51/4.67 inference(rewrite,[status(thm)],[])).
% 4.51/4.67 tff(5102,plain,
% 4.51/4.67 (^[I0: $i, X: $i] : rewrite(((m_processor_v_snoop(I0, X, c_invalid) | m_processor_v_snoop(I0, X, c_owned)) | m_processor_v_snoop(I0, X, c_shared)) <=> (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid)))),
% 4.51/4.67 inference(bind,[status(th)],[])).
% 4.51/4.67 tff(5103,plain,
% 4.51/4.67 (![I0: $i, X: $i] : ((m_processor_v_snoop(I0, X, c_invalid) | m_processor_v_snoop(I0, X, c_owned)) | m_processor_v_snoop(I0, X, c_shared)) <=> ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))),
% 4.51/4.67 inference(quant_intro,[status(thm)],[5102])).
% 4.51/4.67 tff(5104,axiom,(![I0: $i, X: $i] : ((m_processor_v_snoop(I0, X, c_invalid) | m_processor_v_snoop(I0, X, c_owned)) | m_processor_v_snoop(I0, X, c_shared))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_38')).
% 4.51/4.67 tff(5105,plain,
% 4.51/4.67 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5104, 5103])).
% 4.51/4.67 tff(5106,plain,
% 4.51/4.67 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5105, 5101])).
% 4.51/4.67 tff(5107,plain,(
% 4.51/4.67 ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))),
% 4.51/4.67 inference(skolemize,[status(sab)],[5106])).
% 4.51/4.67 tff(5108,plain,
% 4.51/4.67 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5107, 5100])).
% 4.51/4.67 tff(5109,plain,
% 4.51/4.67 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s1, c_invalid) | m_processor_v_snoop(c_p1, s1, c_shared) | m_processor_v_snoop(c_p1, s1, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s1, c_invalid) | m_processor_v_snoop(c_p1, s1, c_shared) | m_processor_v_snoop(c_p1, s1, c_owned))),
% 4.51/4.67 inference(rewrite,[status(thm)],[])).
% 4.51/4.67 tff(5110,plain,
% 4.51/4.67 ((m_processor_v_snoop(c_p1, s1, c_shared) | m_processor_v_snoop(c_p1, s1, c_owned) | m_processor_v_snoop(c_p1, s1, c_invalid)) <=> (m_processor_v_snoop(c_p1, s1, c_invalid) | m_processor_v_snoop(c_p1, s1, c_shared) | m_processor_v_snoop(c_p1, s1, c_owned))),
% 4.51/4.67 inference(rewrite,[status(thm)],[])).
% 4.51/4.67 tff(5111,plain,
% 4.51/4.67 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s1, c_shared) | m_processor_v_snoop(c_p1, s1, c_owned) | m_processor_v_snoop(c_p1, s1, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s1, c_invalid) | m_processor_v_snoop(c_p1, s1, c_shared) | m_processor_v_snoop(c_p1, s1, c_owned)))),
% 4.51/4.67 inference(monotonicity,[status(thm)],[5110])).
% 4.51/4.67 tff(5112,plain,
% 4.51/4.67 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s1, c_shared) | m_processor_v_snoop(c_p1, s1, c_owned) | m_processor_v_snoop(c_p1, s1, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s1, c_invalid) | m_processor_v_snoop(c_p1, s1, c_shared) | m_processor_v_snoop(c_p1, s1, c_owned))),
% 4.51/4.67 inference(transitivity,[status(thm)],[5111, 5109])).
% 4.51/4.67 tff(5113,plain,
% 4.51/4.67 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s1, c_shared) | m_processor_v_snoop(c_p1, s1, c_owned) | m_processor_v_snoop(c_p1, s1, c_invalid))),
% 4.51/4.67 inference(quant_inst,[status(thm)],[])).
% 4.51/4.67 tff(5114,plain,
% 4.51/4.67 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s1, c_invalid) | m_processor_v_snoop(c_p1, s1, c_shared) | m_processor_v_snoop(c_p1, s1, c_owned)),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5113, 5112])).
% 4.51/4.67 tff(5115,plain,
% 4.51/4.67 (m_processor_v_snoop(c_p1, s1, c_invalid) | m_processor_v_snoop(c_p1, s1, c_shared)),
% 4.51/4.67 inference(unit_resolution,[status(thm)],[5114, 5108, 5055])).
% 4.51/4.67 tff(5116,plain,
% 4.51/4.67 (m_processor_v_snoop(c_p1, s1, c_invalid)),
% 4.51/4.67 inference(unit_resolution,[status(thm)],[5115, 5098])).
% 4.51/4.67 tff(5117,plain,
% 4.51/4.67 (^[I0: $i, X: $i] : refl((m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) <=> (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)))),
% 4.51/4.67 inference(bind,[status(th)],[])).
% 4.51/4.67 tff(5118,plain,
% 4.51/4.67 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))),
% 4.51/4.67 inference(quant_intro,[status(thm)],[5117])).
% 4.51/4.67 tff(5119,plain,
% 4.51/4.67 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))),
% 4.51/4.67 inference(rewrite,[status(thm)],[])).
% 4.51/4.67 tff(5120,plain,
% 4.51/4.67 (^[I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node62(I0, X) | node63(I0, X)) | node64(I0, X)) <=> (node62(I0, X) | node63(I0, X) | node64(I0, X))), ((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) <=> ((node62(I0, X) | node63(I0, X) | node64(I0, X)) | node65(I0, X)))), rewrite(((node62(I0, X) | node63(I0, X) | node64(I0, X)) | node65(I0, X)) <=> (node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))), ((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) <=> (node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)))), (((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) | (~m_processor_v_master(I0, X))))), rewrite(((node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))), (((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)))), ((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) <=> (((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) | (~m_processor_v_state(I0, X, c_owned))))), rewrite((((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))), ((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)))), (((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_invalid))) <=> (((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) | (~m_processor_v_snoop(I0, X, c_invalid))))), rewrite((((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) | (~m_processor_v_snoop(I0, X, c_invalid))) <=> ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))), (((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_invalid))) <=> ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)))), ((((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_cmd(I0, X, c_write_h_invalid)) <=> (((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) | m_processor_v_cmd(I0, X, c_write_h_invalid)))), rewrite((((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) | m_processor_v_cmd(I0, X, c_write_h_invalid)) <=> (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))), ((((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_cmd(I0, X, c_write_h_invalid)) <=> (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))))),
% 4.51/4.67 inference(bind,[status(th)],[])).
% 4.51/4.67 tff(5121,plain,
% 4.51/4.67 (![I0: $i, X: $i] : (((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_cmd(I0, X, c_write_h_invalid)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))),
% 4.51/4.67 inference(quant_intro,[status(thm)],[5120])).
% 4.51/4.67 tff(5122,axiom,(![I0: $i, X: $i] : (((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_cmd(I0, X, c_write_h_invalid))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_159')).
% 4.51/4.67 tff(5123,plain,
% 4.51/4.67 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5122, 5121])).
% 4.51/4.67 tff(5124,plain,
% 4.51/4.67 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5123, 5119])).
% 4.51/4.67 tff(5125,plain,(
% 4.51/4.67 ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))),
% 4.51/4.67 inference(skolemize,[status(sab)],[5124])).
% 4.51/4.67 tff(5126,plain,
% 4.51/4.67 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5125, 5118])).
% 4.51/4.67 tff(5127,plain,
% 4.51/4.67 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s1, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | m_processor_v_cmd(c_p1, s1, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1))),
% 4.51/4.67 inference(rewrite,[status(thm)],[])).
% 4.51/4.67 tff(5128,plain,
% 4.51/4.67 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s1, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1))),
% 4.51/4.67 inference(quant_inst,[status(thm)],[])).
% 4.51/4.67 tff(5129,plain,
% 4.51/4.67 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | m_processor_v_cmd(c_p1, s1, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_master(c_p1, s1)) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1)),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5128, 5127])).
% 4.51/4.67 tff(5130,plain,
% 4.51/4.67 (m_processor_v_cmd(c_p1, s1, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_owned)) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1)),
% 4.51/4.67 inference(unit_resolution,[status(thm)],[5129, 5126, 1844])).
% 4.51/4.67 tff(5131,plain,
% 4.51/4.67 (node65(c_p1, s1)),
% 4.51/4.67 inference(unit_resolution,[status(thm)],[5130, 5116, 5002, 5010, 5037, 5066, 4976])).
% 4.51/4.67 tff(5132,plain,
% 4.51/4.67 (^[I0: $i, X: $i] : refl((m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X))) <=> (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X))))),
% 4.51/4.67 inference(bind,[status(th)],[])).
% 4.51/4.67 tff(5133,plain,
% 4.51/4.67 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))),
% 4.51/4.67 inference(quant_intro,[status(thm)],[5132])).
% 4.51/4.67 tff(5134,plain,
% 4.51/4.67 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))),
% 4.51/4.67 inference(rewrite,[status(thm)],[])).
% 4.51/4.67 tff(5135,axiom,(![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_151')).
% 4.51/4.67 tff(5136,plain,
% 4.51/4.67 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5135, 5134])).
% 4.51/4.67 tff(5137,plain,(
% 4.51/4.67 ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))),
% 4.51/4.67 inference(skolemize,[status(sab)],[5136])).
% 4.51/4.67 tff(5138,plain,
% 4.51/4.67 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5137, 5133])).
% 4.51/4.67 tff(5139,plain,
% 4.51/4.67 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p1, s1, c_shared) | (~node65(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p1, s1, c_shared) | (~node65(c_p1, s1)))),
% 4.51/4.67 inference(rewrite,[status(thm)],[])).
% 4.51/4.67 tff(5140,plain,
% 4.51/4.67 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p1, s1, c_shared) | (~node65(c_p1, s1)))),
% 4.51/4.67 inference(quant_inst,[status(thm)],[])).
% 4.51/4.67 tff(5141,plain,
% 4.51/4.67 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p1, s1, c_shared) | (~node65(c_p1, s1))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5140, 5139])).
% 4.51/4.67 tff(5142,plain,
% 4.51/4.67 ($false),
% 4.51/4.67 inference(unit_resolution,[status(thm)],[5141, 5138, 5098, 5131])).
% 4.51/4.67 tff(5143,plain,((~m_main_v_CMD(s1, c_response)) | (~m_processor_v_master(c_p1, s1)) | (~node10(s1))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.67 tff(5144,plain,
% 4.51/4.67 (~m_main_v_CMD(s1, c_response)),
% 4.51/4.67 inference(unit_resolution,[status(thm)],[5143, 4954, 1844])).
% 4.51/4.67 tff(5145,plain,
% 4.51/4.67 (^[V: $i, X: $i] : refl(((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V))) <=> ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V))))),
% 4.51/4.67 inference(bind,[status(th)],[])).
% 4.51/4.67 tff(5146,plain,
% 4.51/4.67 (![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V))) <=> ![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))),
% 4.51/4.67 inference(quant_intro,[status(thm)],[5145])).
% 4.51/4.67 tff(5147,plain,
% 4.51/4.67 (![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V))) <=> ![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))),
% 4.51/4.67 inference(rewrite,[status(thm)],[])).
% 4.51/4.67 tff(5148,plain,
% 4.51/4.67 (^[V: $i, X: $i] : rewrite((((~m_memory_v_CMD(c_m, X, V)) | m_main_v_CMD(X, V)) | (~node1(X))) <=> ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V))))),
% 4.51/4.67 inference(bind,[status(th)],[])).
% 4.51/4.67 tff(5149,plain,
% 4.51/4.67 (![V: $i, X: $i] : (((~m_memory_v_CMD(c_m, X, V)) | m_main_v_CMD(X, V)) | (~node1(X))) <=> ![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))),
% 4.51/4.67 inference(quant_intro,[status(thm)],[5148])).
% 4.51/4.67 tff(5150,axiom,(![V: $i, X: $i] : (((~m_memory_v_CMD(c_m, X, V)) | m_main_v_CMD(X, V)) | (~node1(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_39')).
% 4.51/4.67 tff(5151,plain,
% 4.51/4.67 (![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5150, 5149])).
% 4.51/4.67 tff(5152,plain,
% 4.51/4.67 (![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5151, 5147])).
% 4.51/4.67 tff(5153,plain,(
% 4.51/4.67 ![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))),
% 4.51/4.67 inference(skolemize,[status(sab)],[5152])).
% 4.51/4.67 tff(5154,plain,
% 4.51/4.67 (![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5153, 5146])).
% 4.51/4.67 tff(5155,plain,
% 4.51/4.67 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s1, c_response) | (~node1(s1)) | (~m_memory_v_CMD(c_m, s1, c_response)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s1, c_response) | (~node1(s1)) | (~m_memory_v_CMD(c_m, s1, c_response)))),
% 4.51/4.67 inference(rewrite,[status(thm)],[])).
% 4.51/4.67 tff(5156,plain,
% 4.51/4.67 (((~node1(s1)) | m_main_v_CMD(s1, c_response) | (~m_memory_v_CMD(c_m, s1, c_response))) <=> (m_main_v_CMD(s1, c_response) | (~node1(s1)) | (~m_memory_v_CMD(c_m, s1, c_response)))),
% 4.51/4.67 inference(rewrite,[status(thm)],[])).
% 4.51/4.67 tff(5157,plain,
% 4.51/4.67 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s1)) | m_main_v_CMD(s1, c_response) | (~m_memory_v_CMD(c_m, s1, c_response)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s1, c_response) | (~node1(s1)) | (~m_memory_v_CMD(c_m, s1, c_response))))),
% 4.51/4.67 inference(monotonicity,[status(thm)],[5156])).
% 4.51/4.67 tff(5158,plain,
% 4.51/4.67 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s1)) | m_main_v_CMD(s1, c_response) | (~m_memory_v_CMD(c_m, s1, c_response)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s1, c_response) | (~node1(s1)) | (~m_memory_v_CMD(c_m, s1, c_response)))),
% 4.51/4.67 inference(transitivity,[status(thm)],[5157, 5155])).
% 4.51/4.67 tff(5159,plain,
% 4.51/4.67 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s1)) | m_main_v_CMD(s1, c_response) | (~m_memory_v_CMD(c_m, s1, c_response)))),
% 4.51/4.67 inference(quant_inst,[status(thm)],[])).
% 4.51/4.67 tff(5160,plain,
% 4.51/4.67 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s1, c_response) | (~node1(s1)) | (~m_memory_v_CMD(c_m, s1, c_response))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5159, 5158])).
% 4.51/4.67 tff(5161,plain,
% 4.51/4.67 (~m_memory_v_CMD(c_m, s1, c_response)),
% 4.51/4.67 inference(unit_resolution,[status(thm)],[5160, 5154, 4821, 5144])).
% 4.51/4.67 tff(5162,plain,
% 4.51/4.67 (^[I0: $i, X: $i] : refl(((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response)) <=> ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response)))),
% 4.51/4.67 inference(bind,[status(th)],[])).
% 4.51/4.67 tff(5163,plain,
% 4.51/4.67 (![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response)) <=> ![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))),
% 4.51/4.67 inference(quant_intro,[status(thm)],[5162])).
% 4.51/4.67 tff(5164,plain,
% 4.51/4.67 (![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response)) <=> ![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))),
% 4.51/4.67 inference(rewrite,[status(thm)],[])).
% 4.51/4.67 tff(5165,plain,
% 4.51/4.67 (^[I0: $i, X: $i] : rewrite((m_memory_v_CMD(I0, X, c_response) | (~node19(I0, X))) <=> ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response)))),
% 4.51/4.67 inference(bind,[status(th)],[])).
% 4.51/4.67 tff(5166,plain,
% 4.51/4.67 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_response) | (~node19(I0, X))) <=> ![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))),
% 4.51/4.67 inference(quant_intro,[status(thm)],[5165])).
% 4.51/4.67 tff(5167,axiom,(![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_response) | (~node19(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_42')).
% 4.51/4.67 tff(5168,plain,
% 4.51/4.67 (![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5167, 5166])).
% 4.51/4.67 tff(5169,plain,
% 4.51/4.67 (![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5168, 5164])).
% 4.51/4.67 tff(5170,plain,(
% 4.51/4.67 ![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))),
% 4.51/4.67 inference(skolemize,[status(sab)],[5169])).
% 4.51/4.67 tff(5171,plain,
% 4.51/4.67 (![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5170, 5163])).
% 4.51/4.67 tff(5172,plain,
% 4.51/4.67 (((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | ((~node19(c_m, s1)) | m_memory_v_CMD(c_m, s1, c_response))) <=> ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | (~node19(c_m, s1)) | m_memory_v_CMD(c_m, s1, c_response))),
% 4.51/4.67 inference(rewrite,[status(thm)],[])).
% 4.51/4.67 tff(5173,plain,
% 4.51/4.67 ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | ((~node19(c_m, s1)) | m_memory_v_CMD(c_m, s1, c_response))),
% 4.51/4.67 inference(quant_inst,[status(thm)],[])).
% 4.51/4.67 tff(5174,plain,
% 4.51/4.67 ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | (~node19(c_m, s1)) | m_memory_v_CMD(c_m, s1, c_response)),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[5173, 5172])).
% 4.51/4.67 tff(5175,plain,
% 4.51/4.67 (~node19(c_m, s1)),
% 4.51/4.67 inference(unit_resolution,[status(thm)],[5174, 5171, 5161])).
% 4.51/4.67 tff(5176,plain,
% 4.51/4.67 (~m_processor_v_master(c_p0, s1)),
% 4.51/4.67 inference(unit_resolution,[status(thm)],[1850, 1844])).
% 4.51/4.68 tff(5177,plain,
% 4.51/4.68 (m_processor_v_state(c_p0, s2, c_invalid)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[2237, 1601, 2221, 5176])).
% 4.51/4.68 tff(5178,plain,
% 4.51/4.68 (~m_processor_v_state(c_p0, s2, c_shared)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[2245, 5177])).
% 4.51/4.68 tff(5179,plain,
% 4.51/4.68 (~node32(c_p0, s2, s3)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[3671, 2221])).
% 4.51/4.68 tff(5180,plain,
% 4.51/4.68 (~m_processor_v_abort(c_p0, s2)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[3686, 5179])).
% 4.51/4.68 tff(5181,plain,
% 4.51/4.68 (node34(c_p0, s2, s3)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[3786, 4190, 5180])).
% 4.51/4.68 tff(5182,plain,
% 4.51/4.68 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[3799, 5181])).
% 4.51/4.68 tff(5183,plain,
% 4.51/4.68 (m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[3860, 5177, 2221, 5182, 5178])).
% 4.51/4.68 tff(5184,assumption,(m_processor_v_CMD(c_p0, s2, c_read_h_owned)), introduced(assumption)).
% 4.51/4.68 tff(5185,assumption,(~m_main_v_CMD(s2, c_read_h_owned)), introduced(assumption)).
% 4.51/4.68 tff(5186,assumption,(~node2(s2)), introduced(assumption)).
% 4.51/4.68 tff(5187,plain,
% 4.51/4.68 ((~![X: $i] : node2(X)) | node2(s2)),
% 4.51/4.68 inference(quant_inst,[status(thm)],[])).
% 4.51/4.68 tff(5188,plain,
% 4.51/4.68 ($false),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5187, 1736, 5186])).
% 4.51/4.68 tff(5189,plain,(node2(s2)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.68 tff(5190,plain,
% 4.51/4.68 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s2, c_read_h_owned) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s2, c_read_h_owned) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5191,plain,
% 4.51/4.68 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s2, c_read_h_owned) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)))),
% 4.51/4.68 inference(quant_inst,[status(thm)],[])).
% 4.51/4.68 tff(5192,plain,
% 4.51/4.68 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s2, c_read_h_owned) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned))),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5191, 5190])).
% 4.51/4.68 tff(5193,plain,
% 4.51/4.68 ($false),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5192, 1749, 5189, 5185, 5184])).
% 4.51/4.68 tff(5194,plain,((~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | m_main_v_CMD(s2, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.68 tff(5195,plain,
% 4.51/4.68 (m_main_v_CMD(s2, c_read_h_owned)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5194, 5183])).
% 4.51/4.68 tff(5196,assumption,(~m_memory_v_CMD(c_m, s2, c_read_h_owned)), introduced(assumption)).
% 4.51/4.68 tff(5197,assumption,(~node1(s2)), introduced(assumption)).
% 4.51/4.68 tff(5198,plain,
% 4.51/4.68 ((~![X: $i] : node1(X)) | node1(s2)),
% 4.51/4.68 inference(quant_inst,[status(thm)],[])).
% 4.51/4.68 tff(5199,plain,
% 4.51/4.68 ($false),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5198, 609, 5197])).
% 4.51/4.68 tff(5200,plain,(node1(s2)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.68 tff(5201,assumption,(m_main_v_CMD(s2, c_read_h_owned)), introduced(assumption)).
% 4.51/4.68 tff(5202,plain,
% 4.51/4.68 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s2)) | (~m_main_v_CMD(s2, c_read_h_owned)) | m_memory_v_CMD(c_m, s2, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s2)) | (~m_main_v_CMD(s2, c_read_h_owned)) | m_memory_v_CMD(c_m, s2, c_read_h_owned))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5203,plain,
% 4.51/4.68 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s2)) | (~m_main_v_CMD(s2, c_read_h_owned)) | m_memory_v_CMD(c_m, s2, c_read_h_owned))),
% 4.51/4.68 inference(quant_inst,[status(thm)],[])).
% 4.51/4.68 tff(5204,plain,
% 4.51/4.68 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s2)) | (~m_main_v_CMD(s2, c_read_h_owned)) | m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5203, 5202])).
% 4.51/4.68 tff(5205,plain,
% 4.51/4.68 ($false),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5204, 622, 5201, 5200, 5196])).
% 4.51/4.68 tff(5206,plain,(m_memory_v_CMD(c_m, s2, c_read_h_owned) | (~m_main_v_CMD(s2, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.68 tff(5207,plain,
% 4.51/4.68 (m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5206, 5195])).
% 4.51/4.68 tff(5208,assumption,(node30(c_m, s2)), introduced(assumption)).
% 4.51/4.68 tff(5209,assumption,(m_memory_v_CMD(c_m, s2, c_read_h_owned)), introduced(assumption)).
% 4.51/4.68 tff(5210,plain,
% 4.51/4.68 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s2, c_read_h_owned)) | (~node30(c_m, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned)) | (~node30(c_m, s2)))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5211,plain,
% 4.51/4.68 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s2, c_read_h_owned)) | (~node30(c_m, s2)))),
% 4.51/4.68 inference(quant_inst,[status(thm)],[])).
% 4.51/4.68 tff(5212,plain,
% 4.51/4.68 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned)) | (~node30(c_m, s2))),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5211, 5210])).
% 4.51/4.68 tff(5213,plain,
% 4.51/4.68 ($false),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5212, 4810, 5209, 5208])).
% 4.51/4.68 tff(5214,plain,((~node30(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.68 tff(5215,plain,
% 4.51/4.68 (~node30(c_m, s2)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5214, 5207])).
% 4.51/4.68 tff(5216,plain,
% 4.51/4.68 (node60(c_p0, s2)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[3878, 5180])).
% 4.51/4.68 tff(5217,assumption,(node60(c_p0, s2)), introduced(assumption)).
% 4.51/4.68 tff(5218,assumption,(m_processor_v_REPLY_h_STALL(c_p0, s2)), introduced(assumption)).
% 4.51/4.68 tff(5219,plain,
% 4.51/4.68 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s2)) | (~node60(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s2)) | (~node60(c_p0, s2)))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5220,plain,
% 4.51/4.68 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s2)) | (~node60(c_p0, s2)))),
% 4.51/4.68 inference(quant_inst,[status(thm)],[])).
% 4.51/4.68 tff(5221,plain,
% 4.51/4.68 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s2)) | (~node60(c_p0, s2))),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5220, 5219])).
% 4.51/4.68 tff(5222,plain,
% 4.51/4.68 ($false),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5221, 538, 5218, 5217])).
% 4.51/4.68 tff(5223,plain,((~node60(c_p0, s2)) | (~m_processor_v_REPLY_h_STALL(c_p0, s2))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.68 tff(5224,plain,
% 4.51/4.68 (~m_processor_v_REPLY_h_STALL(c_p0, s2)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5223, 5216])).
% 4.51/4.68 tff(5225,assumption,(~m_processor_v_REPLY_h_STALL(c_p0, s2)), introduced(assumption)).
% 4.51/4.68 tff(5226,assumption,(m_main_v_REPLY_h_STALL(s2)), introduced(assumption)).
% 4.51/4.68 tff(5227,plain,
% 4.51/4.68 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s2)) | m_processor_v_REPLY_h_STALL(c_p0, s2))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s2)) | m_processor_v_REPLY_h_STALL(c_p0, s2))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5228,plain,
% 4.51/4.68 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s2)) | m_processor_v_REPLY_h_STALL(c_p0, s2))),
% 4.51/4.68 inference(quant_inst,[status(thm)],[])).
% 4.51/4.68 tff(5229,plain,
% 4.51/4.68 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s2)) | m_processor_v_REPLY_h_STALL(c_p0, s2)),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5228, 5227])).
% 4.51/4.68 tff(5230,plain,
% 4.51/4.68 ($false),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5229, 555, 5226, 5225])).
% 4.51/4.68 tff(5231,plain,(m_processor_v_REPLY_h_STALL(c_p0, s2) | (~m_main_v_REPLY_h_STALL(s2))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.68 tff(5232,plain,
% 4.51/4.68 (~m_main_v_REPLY_h_STALL(s2)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5231, 5224])).
% 4.51/4.68 tff(5233,assumption,(~node7(s2)), introduced(assumption)).
% 4.51/4.68 tff(5234,assumption,(~m_main_v_REPLY_h_STALL(s2)), introduced(assumption)).
% 4.51/4.68 tff(5235,plain,
% 4.51/4.68 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | (m_main_v_REPLY_h_STALL(s2) | node7(s2))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | m_main_v_REPLY_h_STALL(s2) | node7(s2))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5236,plain,
% 4.51/4.68 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | (m_main_v_REPLY_h_STALL(s2) | node7(s2))),
% 4.51/4.68 inference(quant_inst,[status(thm)],[])).
% 4.51/4.68 tff(5237,plain,
% 4.51/4.68 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | m_main_v_REPLY_h_STALL(s2) | node7(s2)),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5236, 5235])).
% 4.51/4.68 tff(5238,plain,
% 4.51/4.68 ($false),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5237, 4756, 5234, 5233])).
% 4.51/4.68 tff(5239,plain,(node7(s2) | m_main_v_REPLY_h_STALL(s2)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.68 tff(5240,plain,
% 4.51/4.68 (node7(s2)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5239, 5232])).
% 4.51/4.68 tff(5241,assumption,(node7(s2)), introduced(assumption)).
% 4.51/4.68 tff(5242,assumption,(m_memory_v_reply_h_stall(c_m, s2)), introduced(assumption)).
% 4.51/4.68 tff(5243,plain,
% 4.51/4.68 (((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | ((~node7(s2)) | (~m_memory_v_reply_h_stall(c_m, s2)))) <=> ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | (~node7(s2)) | (~m_memory_v_reply_h_stall(c_m, s2)))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5244,plain,
% 4.51/4.68 ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | ((~node7(s2)) | (~m_memory_v_reply_h_stall(c_m, s2)))),
% 4.51/4.68 inference(quant_inst,[status(thm)],[])).
% 4.51/4.68 tff(5245,plain,
% 4.51/4.68 ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | (~node7(s2)) | (~m_memory_v_reply_h_stall(c_m, s2))),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5244, 5243])).
% 4.51/4.68 tff(5246,plain,
% 4.51/4.68 ($false),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5245, 4771, 5242, 5241])).
% 4.51/4.68 tff(5247,plain,((~m_memory_v_reply_h_stall(c_m, s2)) | (~node7(s2))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.68 tff(5248,plain,
% 4.51/4.68 (~m_memory_v_reply_h_stall(c_m, s2)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5247, 5240])).
% 4.51/4.68 tff(5249,plain,
% 4.51/4.68 (((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s2)) | node30(c_m, s2) | m_memory_v_reply_h_stall(c_m, s2))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (~m_memory_v_busy(c_m, s2)) | node30(c_m, s2) | m_memory_v_reply_h_stall(c_m, s2))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5250,plain,
% 4.51/4.68 ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s2)) | node30(c_m, s2) | m_memory_v_reply_h_stall(c_m, s2))),
% 4.51/4.68 inference(quant_inst,[status(thm)],[])).
% 4.51/4.68 tff(5251,plain,
% 4.51/4.68 ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (~m_memory_v_busy(c_m, s2)) | node30(c_m, s2) | m_memory_v_reply_h_stall(c_m, s2)),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5250, 5249])).
% 4.51/4.68 tff(5252,plain,
% 4.51/4.68 (~m_memory_v_busy(c_m, s2)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5251, 4790, 5248, 5215])).
% 4.51/4.68 tff(5253,assumption,(~m_memory_v_busy(c_m, s2)), introduced(assumption)).
% 4.51/4.68 tff(5254,assumption,(~node19(c_m, s1)), introduced(assumption)).
% 4.51/4.68 tff(5255,plain,
% 4.51/4.68 (~node17(s1)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[3594, 1844])).
% 4.51/4.68 tff(5256,plain,
% 4.51/4.68 (~m_memory_v_master(c_m, s1)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[3294, 5255])).
% 4.51/4.68 tff(5257,assumption,(~m_memory_v_abort(c_m, s1)), introduced(assumption)).
% 4.51/4.68 tff(5258,plain,
% 4.51/4.68 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s1, s2)) | node23(c_m, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s1, s2)) | node23(c_m, s1, s2))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5259,plain,
% 4.51/4.68 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s1, s2)) | node23(c_m, s1, s2))),
% 4.51/4.68 inference(quant_inst,[status(thm)],[])).
% 4.51/4.68 tff(5260,plain,
% 4.51/4.68 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s1, s2)) | node23(c_m, s1, s2)),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5259, 5258])).
% 4.51/4.68 tff(5261,plain,
% 4.51/4.68 (node23(c_m, s1, s2)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5260, 196, 1808])).
% 4.51/4.68 tff(5262,plain,
% 4.51/4.68 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s1) | node19(c_m, s1) | m_memory_v_busy(c_m, s2) | m_memory_v_abort(c_m, s1) | node20(c_m, s1) | (~node23(c_m, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | m_memory_v_master(c_m, s1) | node19(c_m, s1) | m_memory_v_busy(c_m, s2) | m_memory_v_abort(c_m, s1) | node20(c_m, s1) | (~node23(c_m, s1, s2)))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5263,plain,
% 4.51/4.68 ((m_memory_v_master(c_m, s1) | node19(c_m, s1) | m_memory_v_busy(c_m, s2) | node20(c_m, s1) | (~node23(c_m, s1, s2)) | m_memory_v_abort(c_m, s1)) <=> (m_memory_v_master(c_m, s1) | node19(c_m, s1) | m_memory_v_busy(c_m, s2) | m_memory_v_abort(c_m, s1) | node20(c_m, s1) | (~node23(c_m, s1, s2)))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5264,plain,
% 4.51/4.68 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s1) | node19(c_m, s1) | m_memory_v_busy(c_m, s2) | node20(c_m, s1) | (~node23(c_m, s1, s2)) | m_memory_v_abort(c_m, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s1) | node19(c_m, s1) | m_memory_v_busy(c_m, s2) | m_memory_v_abort(c_m, s1) | node20(c_m, s1) | (~node23(c_m, s1, s2))))),
% 4.51/4.68 inference(monotonicity,[status(thm)],[5263])).
% 4.51/4.68 tff(5265,plain,
% 4.51/4.68 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s1) | node19(c_m, s1) | m_memory_v_busy(c_m, s2) | node20(c_m, s1) | (~node23(c_m, s1, s2)) | m_memory_v_abort(c_m, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | m_memory_v_master(c_m, s1) | node19(c_m, s1) | m_memory_v_busy(c_m, s2) | m_memory_v_abort(c_m, s1) | node20(c_m, s1) | (~node23(c_m, s1, s2)))),
% 4.51/4.68 inference(transitivity,[status(thm)],[5264, 5262])).
% 4.51/4.68 tff(5266,plain,
% 4.51/4.68 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s1) | node19(c_m, s1) | m_memory_v_busy(c_m, s2) | node20(c_m, s1) | (~node23(c_m, s1, s2)) | m_memory_v_abort(c_m, s1))),
% 4.51/4.68 inference(quant_inst,[status(thm)],[])).
% 4.51/4.68 tff(5267,plain,
% 4.51/4.68 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | m_memory_v_master(c_m, s1) | node19(c_m, s1) | m_memory_v_busy(c_m, s2) | m_memory_v_abort(c_m, s1) | node20(c_m, s1) | (~node23(c_m, s1, s2))),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5266, 5265])).
% 4.51/4.68 tff(5268,plain,
% 4.51/4.68 (m_memory_v_master(c_m, s1) | node19(c_m, s1) | m_memory_v_busy(c_m, s2) | m_memory_v_abort(c_m, s1) | node20(c_m, s1)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5267, 210, 5261])).
% 4.51/4.68 tff(5269,plain,
% 4.51/4.68 (node20(c_m, s1)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5268, 5257, 5256, 5254, 5253])).
% 4.51/4.68 tff(5270,assumption,(node20(c_m, s1)), introduced(assumption)).
% 4.51/4.68 tff(5271,assumption,(m_memory_v_CMD(c_m, s1, c_read_h_shared)), introduced(assumption)).
% 4.51/4.68 tff(5272,plain,
% 4.51/4.68 (((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | ((~node20(c_m, s1)) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | (~node20(c_m, s1)) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared)))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5273,plain,
% 4.51/4.68 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | ((~node20(c_m, s1)) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared)))),
% 4.51/4.68 inference(quant_inst,[status(thm)],[])).
% 4.51/4.68 tff(5274,plain,
% 4.51/4.68 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | (~node20(c_m, s1)) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared))),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5273, 5272])).
% 4.51/4.68 tff(5275,plain,
% 4.51/4.68 ($false),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5274, 1353, 5271, 5270])).
% 4.51/4.68 tff(5276,plain,((~node20(c_m, s1)) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.68 tff(5277,plain,
% 4.51/4.68 (~m_memory_v_CMD(c_m, s1, c_read_h_shared)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5276, 5269])).
% 4.51/4.68 tff(5278,plain,
% 4.51/4.68 (node20(c_m, s1)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5268, 5254, 5256, 5253, 5257])).
% 4.51/4.68 tff(5279,plain,
% 4.51/4.68 (((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | ((~node20(c_m, s1)) | (~m_memory_v_CMD(c_m, s1, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | (~node20(c_m, s1)) | (~m_memory_v_CMD(c_m, s1, c_read_h_owned)))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5280,plain,
% 4.51/4.68 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | ((~node20(c_m, s1)) | (~m_memory_v_CMD(c_m, s1, c_read_h_owned)))),
% 4.51/4.68 inference(quant_inst,[status(thm)],[])).
% 4.51/4.68 tff(5281,plain,
% 4.51/4.68 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | (~node20(c_m, s1)) | (~m_memory_v_CMD(c_m, s1, c_read_h_owned))),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5280, 5279])).
% 4.51/4.68 tff(5282,plain,
% 4.51/4.68 ($false),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5281, 593, 4803, 5270])).
% 4.51/4.68 tff(5283,plain,((~node20(c_m, s1)) | (~m_memory_v_CMD(c_m, s1, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.68 tff(5284,plain,
% 4.51/4.68 (~m_memory_v_CMD(c_m, s1, c_read_h_owned)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5283, 5278])).
% 4.51/4.68 tff(5285,plain,
% 4.51/4.68 (~m_main_v_CMD(s1, c_read_h_owned)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[4826, 5284])).
% 4.51/4.68 tff(5286,plain,
% 4.51/4.68 (m_processor_v_state(c_p1, s1, c_owned)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[3657, 5285, 1844, 3423])).
% 4.51/4.68 tff(5287,plain,
% 4.51/4.68 (~m_processor_v_state(c_p1, s1, c_invalid)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[2856, 5286])).
% 4.51/4.68 tff(5288,plain,
% 4.51/4.68 (m_processor_v_master(c_p1, s0)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[142, 5287])).
% 4.51/4.68 tff(5289,plain,
% 4.51/4.68 (~node17(s0)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[157, 5288])).
% 4.51/4.68 tff(5290,plain,
% 4.51/4.68 (~m_memory_v_master(c_m, s0)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[172, 5289])).
% 4.51/4.68 tff(5291,plain,
% 4.51/4.68 (~node19(c_m, s0)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[188, 5290])).
% 4.51/4.68 tff(5292,plain,
% 4.51/4.68 (~m_memory_v_CMD(c_m, s1, c_read_h_shared)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5276, 5278])).
% 4.51/4.68 tff(5293,assumption,(node21(c_m, s1)), introduced(assumption)).
% 4.51/4.68 tff(5294,assumption,(~m_memory_v_CMD(c_m, s1, c_read_h_shared)), introduced(assumption)).
% 4.51/4.68 tff(5295,plain,
% 4.51/4.68 (^[I0: $i, X: $i] : refl((m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X))) <=> (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X))))),
% 4.51/4.68 inference(bind,[status(th)],[])).
% 4.51/4.68 tff(5296,plain,
% 4.51/4.68 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))),
% 4.51/4.68 inference(quant_intro,[status(thm)],[5295])).
% 4.51/4.68 tff(5297,plain,
% 4.51/4.68 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5298,plain,
% 4.51/4.68 (^[I0: $i, X: $i] : rewrite(((m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node21(I0, X))) <=> (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X))))),
% 4.51/4.68 inference(bind,[status(th)],[])).
% 4.51/4.68 tff(5299,plain,
% 4.51/4.68 (![I0: $i, X: $i] : ((m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node21(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))),
% 4.51/4.68 inference(quant_intro,[status(thm)],[5298])).
% 4.51/4.68 tff(5300,axiom,(![I0: $i, X: $i] : ((m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node21(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_46')).
% 4.51/4.68 tff(5301,plain,
% 4.51/4.68 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5300, 5299])).
% 4.51/4.68 tff(5302,plain,
% 4.51/4.68 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5301, 5297])).
% 4.51/4.68 tff(5303,plain,(
% 4.51/4.68 ![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))),
% 4.51/4.68 inference(skolemize,[status(sab)],[5302])).
% 4.51/4.68 tff(5304,plain,
% 4.51/4.68 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5303, 5296])).
% 4.51/4.68 tff(5305,plain,
% 4.51/4.68 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (m_memory_v_CMD(c_m, s1, c_read_h_owned) | m_memory_v_CMD(c_m, s1, c_read_h_shared) | (~node21(c_m, s1)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | m_memory_v_CMD(c_m, s1, c_read_h_owned) | m_memory_v_CMD(c_m, s1, c_read_h_shared) | (~node21(c_m, s1)))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5306,plain,
% 4.51/4.68 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (m_memory_v_CMD(c_m, s1, c_read_h_owned) | m_memory_v_CMD(c_m, s1, c_read_h_shared) | (~node21(c_m, s1)))),
% 4.51/4.68 inference(quant_inst,[status(thm)],[])).
% 4.51/4.68 tff(5307,plain,
% 4.51/4.68 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | m_memory_v_CMD(c_m, s1, c_read_h_owned) | m_memory_v_CMD(c_m, s1, c_read_h_shared) | (~node21(c_m, s1))),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5306, 5305])).
% 4.51/4.68 tff(5308,plain,
% 4.51/4.68 ($false),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5307, 5304, 4817, 5294, 5293])).
% 4.51/4.68 tff(5309,plain,((~node21(c_m, s1)) | m_memory_v_CMD(c_m, s1, c_read_h_owned) | m_memory_v_CMD(c_m, s1, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.68 tff(5310,plain,
% 4.51/4.68 (~node21(c_m, s1)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5309, 5284, 5292])).
% 4.51/4.68 tff(5311,assumption,(~node21(c_m, s1)), introduced(assumption)).
% 4.51/4.68 tff(5312,assumption,(node22(c_m, s1, s2)), introduced(assumption)).
% 4.51/4.68 tff(5313,plain,
% 4.51/4.68 (^[Y: $i, I0: $i, X: $i] : refl(((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y))) <=> ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y))))),
% 4.51/4.68 inference(bind,[status(th)],[])).
% 4.51/4.68 tff(5314,plain,
% 4.51/4.68 (![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))),
% 4.51/4.68 inference(quant_intro,[status(thm)],[5313])).
% 4.51/4.68 tff(5315,plain,
% 4.51/4.68 (![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5316,plain,
% 4.51/4.68 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(rewrite((m_memory_v_busy(I0, Y) | (~m_memory_v_busy(I0, X))) <=> ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))), (((m_memory_v_busy(I0, Y) | (~m_memory_v_busy(I0, X))) | (~node22(I0, X, Y))) <=> (((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y))))), rewrite((((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y))) <=> ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))), (((m_memory_v_busy(I0, Y) | (~m_memory_v_busy(I0, X))) | (~node22(I0, X, Y))) <=> ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))))),
% 4.51/4.68 inference(bind,[status(th)],[])).
% 4.51/4.68 tff(5317,plain,
% 4.51/4.68 (![Y: $i, I0: $i, X: $i] : ((m_memory_v_busy(I0, Y) | (~m_memory_v_busy(I0, X))) | (~node22(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))),
% 4.51/4.68 inference(quant_intro,[status(thm)],[5316])).
% 4.51/4.68 tff(5318,axiom,(![Y: $i, I0: $i, X: $i] : ((m_memory_v_busy(I0, Y) | (~m_memory_v_busy(I0, X))) | (~node22(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_47')).
% 4.51/4.68 tff(5319,plain,
% 4.51/4.68 (![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5318, 5317])).
% 4.51/4.68 tff(5320,plain,
% 4.51/4.68 (![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5319, 5315])).
% 4.51/4.68 tff(5321,plain,(
% 4.51/4.68 ![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))),
% 4.51/4.68 inference(skolemize,[status(sab)],[5320])).
% 4.51/4.68 tff(5322,plain,
% 4.51/4.68 (![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5321, 5314])).
% 4.51/4.68 tff(5323,plain,
% 4.51/4.68 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | (m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s1)) | (~node22(c_m, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s1)) | (~node22(c_m, s1, s2)))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5324,plain,
% 4.51/4.68 (((~m_memory_v_busy(c_m, s1)) | m_memory_v_busy(c_m, s2) | (~node22(c_m, s1, s2))) <=> (m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s1)) | (~node22(c_m, s1, s2)))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5325,plain,
% 4.51/4.68 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | ((~m_memory_v_busy(c_m, s1)) | m_memory_v_busy(c_m, s2) | (~node22(c_m, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | (m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s1)) | (~node22(c_m, s1, s2))))),
% 4.51/4.68 inference(monotonicity,[status(thm)],[5324])).
% 4.51/4.68 tff(5326,plain,
% 4.51/4.68 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | ((~m_memory_v_busy(c_m, s1)) | m_memory_v_busy(c_m, s2) | (~node22(c_m, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s1)) | (~node22(c_m, s1, s2)))),
% 4.51/4.68 inference(transitivity,[status(thm)],[5325, 5323])).
% 4.51/4.68 tff(5327,plain,
% 4.51/4.68 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | ((~m_memory_v_busy(c_m, s1)) | m_memory_v_busy(c_m, s2) | (~node22(c_m, s1, s2)))),
% 4.51/4.68 inference(quant_inst,[status(thm)],[])).
% 4.51/4.68 tff(5328,plain,
% 4.51/4.68 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s1)) | (~node22(c_m, s1, s2))),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5327, 5326])).
% 4.51/4.68 tff(5329,plain,
% 4.51/4.68 ($false),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5328, 5322, 4780, 5253, 5312])).
% 4.51/4.68 tff(5330,plain,((~node22(c_m, s1, s2)) | (~m_memory_v_busy(c_m, s1)) | m_memory_v_busy(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.68 tff(5331,plain,
% 4.51/4.68 (~node22(c_m, s1, s2)),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[5330, 5253, 4780])).
% 4.51/4.68 tff(5332,plain,
% 4.51/4.68 (^[Y: $i, I0: $i, X: $i] : refl((node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X)) <=> (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X)))),
% 4.51/4.68 inference(bind,[status(th)],[])).
% 4.51/4.68 tff(5333,plain,
% 4.51/4.68 (![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 4.51/4.68 inference(quant_intro,[status(thm)],[5332])).
% 4.51/4.68 tff(5334,plain,
% 4.51/4.68 (![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5335,plain,
% 4.51/4.68 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((m_memory_v_abort(I0, X) | node19(I0, X)) | node21(I0, X)) <=> (node19(I0, X) | node21(I0, X) | m_memory_v_abort(I0, X))), ((((m_memory_v_abort(I0, X) | node19(I0, X)) | node21(I0, X)) | node22(I0, X, Y)) <=> ((node19(I0, X) | node21(I0, X) | m_memory_v_abort(I0, X)) | node22(I0, X, Y)))), rewrite(((node19(I0, X) | node21(I0, X) | m_memory_v_abort(I0, X)) | node22(I0, X, Y)) <=> (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | m_memory_v_abort(I0, X))), ((((m_memory_v_abort(I0, X) | node19(I0, X)) | node21(I0, X)) | node22(I0, X, Y)) <=> (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | m_memory_v_abort(I0, X)))), (((((m_memory_v_abort(I0, X) | node19(I0, X)) | node21(I0, X)) | node22(I0, X, Y)) | (~node23(I0, X, Y))) <=> ((node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | m_memory_v_abort(I0, X)) | (~node23(I0, X, Y))))), rewrite(((node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | m_memory_v_abort(I0, X)) | (~node23(I0, X, Y))) <=> (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))), (((((m_memory_v_abort(I0, X) | node19(I0, X)) | node21(I0, X)) | node22(I0, X, Y)) | (~node23(I0, X, Y))) <=> (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))))),
% 4.51/4.68 inference(bind,[status(th)],[])).
% 4.51/4.68 tff(5336,plain,
% 4.51/4.68 (![Y: $i, I0: $i, X: $i] : ((((m_memory_v_abort(I0, X) | node19(I0, X)) | node21(I0, X)) | node22(I0, X, Y)) | (~node23(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 4.51/4.68 inference(quant_intro,[status(thm)],[5335])).
% 4.51/4.68 tff(5337,axiom,(![Y: $i, I0: $i, X: $i] : ((((m_memory_v_abort(I0, X) | node19(I0, X)) | node21(I0, X)) | node22(I0, X, Y)) | (~node23(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_52')).
% 4.51/4.68 tff(5338,plain,
% 4.51/4.68 (![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5337, 5336])).
% 4.51/4.68 tff(5339,plain,
% 4.51/4.68 (![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5338, 5334])).
% 4.51/4.68 tff(5340,plain,(
% 4.51/4.68 ![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 4.51/4.68 inference(skolemize,[status(sab)],[5339])).
% 4.51/4.68 tff(5341,plain,
% 4.51/4.68 (![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 4.51/4.68 inference(modus_ponens,[status(thm)],[5340, 5333])).
% 4.51/4.68 tff(5342,plain,
% 4.51/4.68 (((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s1) | m_memory_v_abort(c_m, s1) | node21(c_m, s1) | (~node23(c_m, s1, s2)) | node22(c_m, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | node19(c_m, s1) | m_memory_v_abort(c_m, s1) | node21(c_m, s1) | (~node23(c_m, s1, s2)) | node22(c_m, s1, s2))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5343,plain,
% 4.51/4.68 ((node19(c_m, s1) | node21(c_m, s1) | node22(c_m, s1, s2) | (~node23(c_m, s1, s2)) | m_memory_v_abort(c_m, s1)) <=> (node19(c_m, s1) | m_memory_v_abort(c_m, s1) | node21(c_m, s1) | (~node23(c_m, s1, s2)) | node22(c_m, s1, s2))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(5344,plain,
% 4.51/4.68 (((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s1) | node21(c_m, s1) | node22(c_m, s1, s2) | (~node23(c_m, s1, s2)) | m_memory_v_abort(c_m, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s1) | m_memory_v_abort(c_m, s1) | node21(c_m, s1) | (~node23(c_m, s1, s2)) | node22(c_m, s1, s2)))),
% 4.51/4.68 inference(monotonicity,[status(thm)],[5343])).
% 4.51/4.68 tff(5345,plain,
% 4.51/4.68 (((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s1) | node21(c_m, s1) | node22(c_m, s1, s2) | (~node23(c_m, s1, s2)) | m_memory_v_abort(c_m, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | node19(c_m, s1) | m_memory_v_abort(c_m, s1) | node21(c_m, s1) | (~node23(c_m, s1, s2)) | node22(c_m, s1, s2))),
% 4.51/4.69 inference(transitivity,[status(thm)],[5344, 5342])).
% 4.51/4.69 tff(5346,plain,
% 4.51/4.69 ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s1) | node21(c_m, s1) | node22(c_m, s1, s2) | (~node23(c_m, s1, s2)) | m_memory_v_abort(c_m, s1))),
% 4.51/4.69 inference(quant_inst,[status(thm)],[])).
% 4.51/4.69 tff(5347,plain,
% 4.51/4.69 ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | node19(c_m, s1) | m_memory_v_abort(c_m, s1) | node21(c_m, s1) | (~node23(c_m, s1, s2)) | node22(c_m, s1, s2)),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5346, 5345])).
% 4.51/4.69 tff(5348,plain,
% 4.51/4.69 (node19(c_m, s1) | m_memory_v_abort(c_m, s1) | node21(c_m, s1) | node22(c_m, s1, s2)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5347, 5341, 5261])).
% 4.51/4.69 tff(5349,plain,
% 4.51/4.69 (m_memory_v_abort(c_m, s1)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5348, 5331, 5254, 5311])).
% 4.51/4.69 tff(5350,plain,
% 4.51/4.69 (^[Y: $i, I0: $i, X: $i] : refl((node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X))) <=> (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X))))),
% 4.51/4.69 inference(bind,[status(th)],[])).
% 4.51/4.69 tff(5351,plain,
% 4.51/4.69 (![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X))) <=> ![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))),
% 4.51/4.69 inference(quant_intro,[status(thm)],[5350])).
% 4.51/4.69 tff(5352,plain,
% 4.51/4.69 (![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X))) <=> ![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5353,plain,
% 4.51/4.69 (^[Y: $i, I0: $i, X: $i] : rewrite((((~m_memory_v_abort(I0, X)) | node18(I0, X, Y)) | (~node23(I0, X, Y))) <=> (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X))))),
% 4.51/4.69 inference(bind,[status(th)],[])).
% 4.51/4.69 tff(5354,plain,
% 4.51/4.69 (![Y: $i, I0: $i, X: $i] : (((~m_memory_v_abort(I0, X)) | node18(I0, X, Y)) | (~node23(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))),
% 4.51/4.69 inference(quant_intro,[status(thm)],[5353])).
% 4.51/4.69 tff(5355,axiom,(![Y: $i, I0: $i, X: $i] : (((~m_memory_v_abort(I0, X)) | node18(I0, X, Y)) | (~node23(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_49')).
% 4.51/4.69 tff(5356,plain,
% 4.51/4.69 (![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5355, 5354])).
% 4.51/4.69 tff(5357,plain,
% 4.51/4.69 (![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5356, 5352])).
% 4.51/4.69 tff(5358,plain,(
% 4.51/4.69 ![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))),
% 4.51/4.69 inference(skolemize,[status(sab)],[5357])).
% 4.51/4.69 tff(5359,plain,
% 4.51/4.69 (![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5358, 5351])).
% 4.51/4.69 tff(5360,plain,
% 4.51/4.69 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | ((~m_memory_v_abort(c_m, s1)) | (~node23(c_m, s1, s2)) | node18(c_m, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~m_memory_v_abort(c_m, s1)) | (~node23(c_m, s1, s2)) | node18(c_m, s1, s2))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5361,plain,
% 4.51/4.69 ((node18(c_m, s1, s2) | (~node23(c_m, s1, s2)) | (~m_memory_v_abort(c_m, s1))) <=> ((~m_memory_v_abort(c_m, s1)) | (~node23(c_m, s1, s2)) | node18(c_m, s1, s2))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5362,plain,
% 4.51/4.69 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s1, s2) | (~node23(c_m, s1, s2)) | (~m_memory_v_abort(c_m, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | ((~m_memory_v_abort(c_m, s1)) | (~node23(c_m, s1, s2)) | node18(c_m, s1, s2)))),
% 4.51/4.69 inference(monotonicity,[status(thm)],[5361])).
% 4.51/4.69 tff(5363,plain,
% 4.51/4.69 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s1, s2) | (~node23(c_m, s1, s2)) | (~m_memory_v_abort(c_m, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~m_memory_v_abort(c_m, s1)) | (~node23(c_m, s1, s2)) | node18(c_m, s1, s2))),
% 4.51/4.69 inference(transitivity,[status(thm)],[5362, 5360])).
% 4.51/4.69 tff(5364,plain,
% 4.51/4.69 ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s1, s2) | (~node23(c_m, s1, s2)) | (~m_memory_v_abort(c_m, s1)))),
% 4.51/4.69 inference(quant_inst,[status(thm)],[])).
% 4.51/4.69 tff(5365,plain,
% 4.51/4.69 ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~m_memory_v_abort(c_m, s1)) | (~node23(c_m, s1, s2)) | node18(c_m, s1, s2)),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5364, 5363])).
% 4.51/4.69 tff(5366,plain,
% 4.51/4.69 ((~m_memory_v_abort(c_m, s1)) | node18(c_m, s1, s2)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5365, 5359, 5261])).
% 4.51/4.69 tff(5367,plain,
% 4.51/4.69 (node18(c_m, s1, s2)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5366, 5349])).
% 4.51/4.69 tff(5368,plain,
% 4.51/4.69 (^[Y: $i, I0: $i, X: $i] : refl(((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y)) <=> ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y)))),
% 4.51/4.69 inference(bind,[status(th)],[])).
% 4.51/4.69 tff(5369,plain,
% 4.51/4.69 (![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y)) <=> ![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))),
% 4.51/4.69 inference(quant_intro,[status(thm)],[5368])).
% 4.51/4.69 tff(5370,plain,
% 4.51/4.69 (![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y)) <=> ![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5371,plain,
% 4.51/4.69 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(rewrite((m_memory_v_busy(I0, Y) | (~m_memory_v_busy(I0, X))) <=> ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))), (((m_memory_v_busy(I0, Y) | (~m_memory_v_busy(I0, X))) | (~node18(I0, X, Y))) <=> (((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y)) | (~node18(I0, X, Y))))), rewrite((((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y)) | (~node18(I0, X, Y))) <=> ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))), (((m_memory_v_busy(I0, Y) | (~m_memory_v_busy(I0, X))) | (~node18(I0, X, Y))) <=> ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))))),
% 4.51/4.69 inference(bind,[status(th)],[])).
% 4.51/4.69 tff(5372,plain,
% 4.51/4.69 (![Y: $i, I0: $i, X: $i] : ((m_memory_v_busy(I0, Y) | (~m_memory_v_busy(I0, X))) | (~node18(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))),
% 4.51/4.69 inference(quant_intro,[status(thm)],[5371])).
% 4.51/4.69 tff(5373,axiom,(![Y: $i, I0: $i, X: $i] : ((m_memory_v_busy(I0, Y) | (~m_memory_v_busy(I0, X))) | (~node18(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_39')).
% 4.51/4.69 tff(5374,plain,
% 4.51/4.69 (![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5373, 5372])).
% 4.51/4.69 tff(5375,plain,
% 4.51/4.69 (![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5374, 5370])).
% 4.51/4.69 tff(5376,plain,(
% 4.51/4.69 ![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))),
% 4.51/4.69 inference(skolemize,[status(sab)],[5375])).
% 4.51/4.69 tff(5377,plain,
% 4.51/4.69 (![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5376, 5369])).
% 4.51/4.69 tff(5378,plain,
% 4.51/4.69 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | (m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s1)) | (~node18(c_m, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s1)) | (~node18(c_m, s1, s2)))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5379,plain,
% 4.51/4.69 (((~node18(c_m, s1, s2)) | (~m_memory_v_busy(c_m, s1)) | m_memory_v_busy(c_m, s2)) <=> (m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s1)) | (~node18(c_m, s1, s2)))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5380,plain,
% 4.51/4.69 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~node18(c_m, s1, s2)) | (~m_memory_v_busy(c_m, s1)) | m_memory_v_busy(c_m, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | (m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s1)) | (~node18(c_m, s1, s2))))),
% 4.51/4.69 inference(monotonicity,[status(thm)],[5379])).
% 4.51/4.69 tff(5381,plain,
% 4.51/4.69 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~node18(c_m, s1, s2)) | (~m_memory_v_busy(c_m, s1)) | m_memory_v_busy(c_m, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s1)) | (~node18(c_m, s1, s2)))),
% 4.51/4.69 inference(transitivity,[status(thm)],[5380, 5378])).
% 4.51/4.69 tff(5382,plain,
% 4.51/4.69 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~node18(c_m, s1, s2)) | (~m_memory_v_busy(c_m, s1)) | m_memory_v_busy(c_m, s2))),
% 4.51/4.69 inference(quant_inst,[status(thm)],[])).
% 4.51/4.69 tff(5383,plain,
% 4.51/4.69 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s1)) | (~node18(c_m, s1, s2))),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5382, 5381])).
% 4.51/4.69 tff(5384,plain,
% 4.51/4.69 ($false),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5383, 5377, 4780, 5253, 5367])).
% 4.51/4.69 tff(5385,plain,(m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s1)) | node19(c_m, s1) | node21(c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.69 tff(5386,plain,
% 4.51/4.69 (~m_memory_v_busy(c_m, s1)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5385, 5310, 5253, 5254])).
% 4.51/4.69 tff(5387,plain,
% 4.51/4.69 (~m_processor_v_state(c_p1, s1, c_shared)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[1381, 5286])).
% 4.51/4.69 tff(5388,plain,
% 4.51/4.69 (m_processor_v_CMD(c_p1, s0, c_read_h_owned)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[1498, 5287, 5387])).
% 4.51/4.69 tff(5389,plain,
% 4.51/4.69 (m_main_v_CMD(s0, c_read_h_owned)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[1504, 5388])).
% 4.51/4.69 tff(5390,plain,
% 4.51/4.69 (m_memory_v_CMD(c_m, s0, c_read_h_owned)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[627, 5389])).
% 4.51/4.69 tff(5391,plain,
% 4.51/4.69 (~node20(c_m, s0)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[598, 5390])).
% 4.51/4.69 tff(5392,plain,
% 4.51/4.69 (m_memory_v_abort(c_m, s0)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[217, 5391, 5386, 5291, 5290])).
% 4.51/4.69 tff(5393,plain,
% 4.51/4.69 (~node32(c_p1, s0, s1)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[36, 5287])).
% 4.51/4.69 tff(5394,plain,
% 4.51/4.69 (~m_processor_v_abort(c_p1, s0)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[84, 5393])).
% 4.51/4.69 tff(5395,plain,
% 4.51/4.69 (node60(c_p1, s0)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[496, 5394])).
% 4.51/4.69 tff(5396,plain,
% 4.51/4.69 (~m_processor_v_REPLY_h_STALL(c_p0, s0)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[543, 5395])).
% 4.51/4.69 tff(5397,plain,
% 4.51/4.69 (~m_main_v_REPLY_h_STALL(s0)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[560, 5396])).
% 4.51/4.69 tff(5398,plain,
% 4.51/4.69 (~m_memory_v_REPLY_h_STALL(c_m, s0)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[578, 5397])).
% 4.51/4.69 tff(5399,plain,
% 4.51/4.69 ($false),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[481, 5398, 5392])).
% 4.51/4.69 tff(5400,plain,(node19(c_m, s1) | m_memory_v_busy(c_m, s2) | (~m_processor_v_master(c_p1, s1)) | m_main_v_CMD(s1, c_read_h_shared) | m_memory_v_abort(c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.69 tff(5401,plain,
% 4.51/4.69 (m_main_v_CMD(s1, c_read_h_shared)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5400, 5257, 1844, 5254, 5253])).
% 4.51/4.69 tff(5402,plain,
% 4.51/4.69 ($false),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[4831, 622, 4821, 5401, 5277])).
% 4.51/4.69 tff(5403,plain,(m_memory_v_abort(c_m, s1) | node19(c_m, s1) | m_memory_v_busy(c_m, s2) | (~m_processor_v_master(c_p1, s1))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.69 tff(5404,plain,
% 4.51/4.69 (m_memory_v_abort(c_m, s1)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5403, 5252, 1844, 5175])).
% 4.51/4.69 tff(5405,assumption,(~node34(c_p1, s1, s2)), introduced(assumption)).
% 4.51/4.69 tff(5406,plain,
% 4.51/4.69 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s1)) | m_processor_v_abort(c_p1, s1) | (~node38(c_p1, s1, s2)) | node34(c_p1, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_abort(c_p1, s1) | (~node38(c_p1, s1, s2)) | node34(c_p1, s1, s2))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5407,plain,
% 4.51/4.69 ((node34(c_p1, s1, s2) | (~m_processor_v_master(c_p1, s1)) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1)) <=> ((~m_processor_v_master(c_p1, s1)) | m_processor_v_abort(c_p1, s1) | (~node38(c_p1, s1, s2)) | node34(c_p1, s1, s2))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5408,plain,
% 4.51/4.69 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s1, s2) | (~m_processor_v_master(c_p1, s1)) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s1)) | m_processor_v_abort(c_p1, s1) | (~node38(c_p1, s1, s2)) | node34(c_p1, s1, s2)))),
% 4.51/4.69 inference(monotonicity,[status(thm)],[5407])).
% 4.51/4.69 tff(5409,plain,
% 4.51/4.69 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s1, s2) | (~m_processor_v_master(c_p1, s1)) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_abort(c_p1, s1) | (~node38(c_p1, s1, s2)) | node34(c_p1, s1, s2))),
% 4.51/4.69 inference(transitivity,[status(thm)],[5408, 5406])).
% 4.51/4.69 tff(5410,plain,
% 4.51/4.69 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s1, s2) | (~m_processor_v_master(c_p1, s1)) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))),
% 4.51/4.69 inference(quant_inst,[status(thm)],[])).
% 4.51/4.69 tff(5411,plain,
% 4.51/4.69 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_abort(c_p1, s1) | (~node38(c_p1, s1, s2)) | node34(c_p1, s1, s2)),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5410, 5409])).
% 4.51/4.69 tff(5412,plain,
% 4.51/4.69 ($false),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5411, 640, 1874, 1844, 1863, 5405])).
% 4.51/4.69 tff(5413,plain,(node34(c_p1, s1, s2) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_abort(c_p1, s1)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.69 tff(5414,plain,
% 4.51/4.69 (node34(c_p1, s1, s2)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5413, 1863, 1844])).
% 4.51/4.69 tff(5415,assumption,(node34(c_p1, s1, s2)), introduced(assumption)).
% 4.51/4.69 tff(5416,assumption,(m_processor_v_CMD(c_p1, s1, c_read_h_shared)), introduced(assumption)).
% 4.51/4.69 tff(5417,plain,
% 4.51/4.69 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node34(c_p1, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node34(c_p1, s1, s2)))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5418,plain,
% 4.51/4.69 (((~node34(c_p1, s1, s2)) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared))) <=> (m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node34(c_p1, s1, s2)))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5419,plain,
% 4.51/4.69 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s1, s2)) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node34(c_p1, s1, s2))))),
% 4.51/4.69 inference(monotonicity,[status(thm)],[5418])).
% 4.51/4.69 tff(5420,plain,
% 4.51/4.69 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s1, s2)) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node34(c_p1, s1, s2)))),
% 4.51/4.69 inference(transitivity,[status(thm)],[5419, 5417])).
% 4.51/4.69 tff(5421,plain,
% 4.51/4.69 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s1, s2)) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)))),
% 4.51/4.69 inference(quant_inst,[status(thm)],[])).
% 4.51/4.69 tff(5422,plain,
% 4.51/4.69 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node34(c_p1, s1, s2))),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5421, 5420])).
% 4.51/4.69 tff(5423,plain,
% 4.51/4.69 ($false),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5422, 1393, 1770, 5416, 5415])).
% 4.51/4.69 tff(5424,plain,(m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node34(c_p1, s1, s2))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.69 tff(5425,plain,
% 4.51/4.69 (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5424, 5414, 1770])).
% 4.51/4.69 tff(5426,plain,
% 4.51/4.69 (~m_main_v_CMD(s1, c_read_h_shared)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[3524, 5425])).
% 4.51/4.69 tff(5427,assumption,(~node28(c_m, s1)), introduced(assumption)).
% 4.51/4.69 tff(5428,assumption,(m_memory_v_abort(c_m, s1)), introduced(assumption)).
% 4.51/4.69 tff(5429,plain,
% 4.51/4.69 (node60(c_p1, s1)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[4735, 1863])).
% 4.51/4.69 tff(5430,plain,
% 4.51/4.69 (~m_processor_v_REPLY_h_STALL(c_p1, s1)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[4742, 4737])).
% 4.51/4.69 tff(5431,plain,
% 4.51/4.69 (~m_main_v_REPLY_h_STALL(s1)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[4748, 5430])).
% 4.51/4.69 tff(5432,assumption,(m_memory_v_REPLY_h_STALL(c_m, s1)), introduced(assumption)).
% 4.51/4.69 tff(5433,plain,
% 4.51/4.69 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | (m_main_v_REPLY_h_STALL(s1) | (~m_memory_v_REPLY_h_STALL(c_m, s1)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | m_main_v_REPLY_h_STALL(s1) | (~m_memory_v_REPLY_h_STALL(c_m, s1)))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5434,plain,
% 4.51/4.69 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | (m_main_v_REPLY_h_STALL(s1) | (~m_memory_v_REPLY_h_STALL(c_m, s1)))),
% 4.51/4.69 inference(quant_inst,[status(thm)],[])).
% 4.51/4.69 tff(5435,plain,
% 4.51/4.69 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | m_main_v_REPLY_h_STALL(s1) | (~m_memory_v_REPLY_h_STALL(c_m, s1))),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5434, 5433])).
% 4.51/4.69 tff(5436,plain,
% 4.51/4.69 ($false),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5435, 573, 4644, 5432])).
% 4.51/4.69 tff(5437,plain,((~m_memory_v_REPLY_h_STALL(c_m, s1)) | m_main_v_REPLY_h_STALL(s1)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.69 tff(5438,plain,
% 4.51/4.69 (~m_memory_v_REPLY_h_STALL(c_m, s1)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5437, 5431])).
% 4.51/4.69 tff(5439,assumption,(~node27(c_m, s1)), introduced(assumption)).
% 4.51/4.69 tff(5440,assumption,(~m_memory_v_REPLY_h_STALL(c_m, s1)), introduced(assumption)).
% 4.51/4.69 tff(5441,plain,
% 4.51/4.69 (((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | ((~m_memory_v_abort(c_m, s1)) | m_memory_v_REPLY_h_STALL(c_m, s1) | node27(c_m, s1) | node28(c_m, s1))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | (~m_memory_v_abort(c_m, s1)) | m_memory_v_REPLY_h_STALL(c_m, s1) | node27(c_m, s1) | node28(c_m, s1))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5442,plain,
% 4.51/4.69 ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | ((~m_memory_v_abort(c_m, s1)) | m_memory_v_REPLY_h_STALL(c_m, s1) | node27(c_m, s1) | node28(c_m, s1))),
% 4.51/4.69 inference(quant_inst,[status(thm)],[])).
% 4.51/4.69 tff(5443,plain,
% 4.51/4.69 ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | (~m_memory_v_abort(c_m, s1)) | m_memory_v_REPLY_h_STALL(c_m, s1) | node27(c_m, s1) | node28(c_m, s1)),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5442, 5441])).
% 4.51/4.69 tff(5444,plain,
% 4.51/4.69 ($false),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5443, 474, 5428, 5427, 5440, 5439])).
% 4.51/4.69 tff(5445,plain,(node27(c_m, s1) | (~m_memory_v_abort(c_m, s1)) | node28(c_m, s1) | m_memory_v_REPLY_h_STALL(c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.69 tff(5446,plain,
% 4.51/4.69 (node27(c_m, s1)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5445, 5438, 5428, 5427])).
% 4.51/4.69 tff(5447,assumption,(node27(c_m, s1)), introduced(assumption)).
% 4.51/4.69 tff(5448,assumption,(~m_memory_v_REPLY_h_WAITING(c_m, s1)), introduced(assumption)).
% 4.51/4.69 tff(5449,plain,
% 4.51/4.69 (((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))) | (m_memory_v_REPLY_h_WAITING(c_m, s1) | (~node27(c_m, s1)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))) | m_memory_v_REPLY_h_WAITING(c_m, s1) | (~node27(c_m, s1)))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5450,plain,
% 4.51/4.69 ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))) | (m_memory_v_REPLY_h_WAITING(c_m, s1) | (~node27(c_m, s1)))),
% 4.51/4.69 inference(quant_inst,[status(thm)],[])).
% 4.51/4.69 tff(5451,plain,
% 4.51/4.69 ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))) | m_memory_v_REPLY_h_WAITING(c_m, s1) | (~node27(c_m, s1))),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5450, 5449])).
% 4.51/4.69 tff(5452,plain,
% 4.51/4.69 ($false),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5451, 454, 5448, 5447])).
% 4.51/4.69 tff(5453,plain,((~node27(c_m, s1)) | m_memory_v_REPLY_h_WAITING(c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.69 tff(5454,plain,
% 4.51/4.69 (m_memory_v_REPLY_h_WAITING(c_m, s1)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5453, 5446])).
% 4.51/4.69 tff(5455,assumption,(~node59(c_p1, s1)), introduced(assumption)).
% 4.51/4.69 tff(5456,assumption,(m_processor_v_REPLY_h_WAITING(c_p1, s1)), introduced(assumption)).
% 4.51/4.69 tff(5457,plain,
% 4.51/4.69 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p1, s1)) | node59(c_p1, s1) | (~node60(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1)) | node59(c_p1, s1) | (~node60(c_p1, s1)))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5458,plain,
% 4.51/4.69 ((node59(c_p1, s1) | (~node60(c_p1, s1)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p1, s1)) | node59(c_p1, s1) | (~node60(c_p1, s1)))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5459,plain,
% 4.51/4.69 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s1) | (~node60(c_p1, s1)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p1, s1)) | node59(c_p1, s1) | (~node60(c_p1, s1))))),
% 4.51/4.69 inference(monotonicity,[status(thm)],[5458])).
% 4.51/4.69 tff(5460,plain,
% 4.51/4.69 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s1) | (~node60(c_p1, s1)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1)) | node59(c_p1, s1) | (~node60(c_p1, s1)))),
% 4.51/4.69 inference(transitivity,[status(thm)],[5459, 5457])).
% 4.51/4.69 tff(5461,plain,
% 4.51/4.69 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s1) | (~node60(c_p1, s1)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1)))),
% 4.51/4.69 inference(quant_inst,[status(thm)],[])).
% 4.51/4.69 tff(5462,plain,
% 4.51/4.69 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1)) | node59(c_p1, s1) | (~node60(c_p1, s1))),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5461, 5460])).
% 4.51/4.69 tff(5463,plain,
% 4.51/4.69 ($false),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5462, 3889, 5456, 4737, 5455])).
% 4.51/4.69 tff(5464,plain,((~node60(c_p1, s1)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1)) | node59(c_p1, s1)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.69 tff(5465,plain,
% 4.51/4.69 (~m_processor_v_REPLY_h_WAITING(c_p1, s1)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5464, 4737, 5455])).
% 4.51/4.69 tff(5466,plain,
% 4.51/4.69 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s1)) | m_processor_v_REPLY_h_WAITING(c_p1, s1))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s1)) | m_processor_v_REPLY_h_WAITING(c_p1, s1))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5467,plain,
% 4.51/4.69 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s1)) | m_processor_v_REPLY_h_WAITING(c_p1, s1))),
% 4.51/4.69 inference(quant_inst,[status(thm)],[])).
% 4.51/4.69 tff(5468,plain,
% 4.51/4.69 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s1)) | m_processor_v_REPLY_h_WAITING(c_p1, s1)),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5467, 5466])).
% 4.51/4.69 tff(5469,plain,
% 4.51/4.69 ($false),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5468, 4309, 4679, 4620])).
% 4.51/4.69 tff(5470,plain,(m_processor_v_REPLY_h_WAITING(c_p1, s1) | (~m_main_v_REPLY_h_WAITING(s1))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.69 tff(5471,plain,
% 4.51/4.69 (~m_main_v_REPLY_h_WAITING(s1)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5470, 5465])).
% 4.51/4.69 tff(5472,plain,
% 4.51/4.69 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))) | (m_main_v_REPLY_h_WAITING(s1) | (~m_memory_v_REPLY_h_WAITING(c_m, s1)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))) | m_main_v_REPLY_h_WAITING(s1) | (~m_memory_v_REPLY_h_WAITING(c_m, s1)))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5473,plain,
% 4.51/4.69 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))) | (m_main_v_REPLY_h_WAITING(s1) | (~m_memory_v_REPLY_h_WAITING(c_m, s1)))),
% 4.51/4.69 inference(quant_inst,[status(thm)],[])).
% 4.51/4.69 tff(5474,plain,
% 4.51/4.69 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))) | m_main_v_REPLY_h_WAITING(s1) | (~m_memory_v_REPLY_h_WAITING(c_m, s1))),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5473, 5472])).
% 4.51/4.69 tff(5475,plain,
% 4.51/4.69 ($false),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5474, 439, 5471, 5454])).
% 4.51/4.69 tff(5476,plain,((~node60(c_p1, s1)) | (~m_memory_v_abort(c_m, s1)) | node28(c_m, s1) | node59(c_p1, s1)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.69 tff(5477,plain,
% 4.51/4.69 (node59(c_p1, s1)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5476, 5429, 5428, 5427])).
% 4.51/4.69 tff(5478,assumption,(node59(c_p1, s1)), introduced(assumption)).
% 4.51/4.69 tff(5479,plain,
% 4.51/4.69 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node59(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node59(c_p1, s1)))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5480,plain,
% 4.51/4.69 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node59(c_p1, s1)))),
% 4.51/4.69 inference(quant_inst,[status(thm)],[])).
% 4.51/4.69 tff(5481,plain,
% 4.51/4.69 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node59(c_p1, s1))),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5480, 5479])).
% 4.51/4.69 tff(5482,plain,
% 4.51/4.69 ($false),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5481, 3868, 1959, 5478])).
% 4.51/4.69 tff(5483,plain,((~node59(c_p1, s1)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.69 tff(5484,plain,
% 4.51/4.69 (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5483, 5477])).
% 4.51/4.69 tff(5485,plain,
% 4.51/4.69 (~m_main_v_CMD(s1, c_read_h_owned)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[1986, 5484])).
% 4.51/4.69 tff(5486,plain,
% 4.51/4.69 ($false),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[3657, 5485, 5426, 1844, 629])).
% 4.51/4.69 tff(5487,plain,(m_processor_v_abort(c_p1, s1) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_state(c_p1, s1, c_owned) | m_processor_v_state(c_p1, s2, c_shared) | (~m_memory_v_abort(c_m, s1)) | node28(c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.69 tff(5488,plain,
% 4.51/4.69 (node28(c_m, s1)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5487, 5404, 1770, 4846, 1844, 1863])).
% 4.51/4.69 tff(5489,assumption,(~m_memory_v_REPLY_h_OWNED(c_m, s1)), introduced(assumption)).
% 4.51/4.69 tff(5490,assumption,(node28(c_m, s1)), introduced(assumption)).
% 4.51/4.69 tff(5491,plain,
% 4.51/4.69 (((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))) | (m_memory_v_REPLY_h_OWNED(c_m, s1) | (~node28(c_m, s1)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))) | m_memory_v_REPLY_h_OWNED(c_m, s1) | (~node28(c_m, s1)))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5492,plain,
% 4.51/4.69 ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))) | (m_memory_v_REPLY_h_OWNED(c_m, s1) | (~node28(c_m, s1)))),
% 4.51/4.69 inference(quant_inst,[status(thm)],[])).
% 4.51/4.69 tff(5493,plain,
% 4.51/4.69 ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))) | m_memory_v_REPLY_h_OWNED(c_m, s1) | (~node28(c_m, s1))),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5492, 5491])).
% 4.51/4.69 tff(5494,plain,
% 4.51/4.69 ($false),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5493, 344, 5490, 5489])).
% 4.51/4.69 tff(5495,plain,(m_memory_v_REPLY_h_OWNED(c_m, s1) | (~node28(c_m, s1))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.69 tff(5496,plain,
% 4.51/4.69 (m_memory_v_REPLY_h_OWNED(c_m, s1)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5495, 5488])).
% 4.51/4.69 tff(5497,assumption,(m_memory_v_REPLY_h_OWNED(c_m, s1)), introduced(assumption)).
% 4.51/4.69 tff(5498,assumption,(~m_main_v_REPLY_h_OWNED(s1)), introduced(assumption)).
% 4.51/4.69 tff(5499,plain,
% 4.51/4.69 (((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))) | (m_main_v_REPLY_h_OWNED(s1) | (~m_memory_v_REPLY_h_OWNED(c_m, s1)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))) | m_main_v_REPLY_h_OWNED(s1) | (~m_memory_v_REPLY_h_OWNED(c_m, s1)))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5500,plain,
% 4.51/4.69 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))) | (m_main_v_REPLY_h_OWNED(s1) | (~m_memory_v_REPLY_h_OWNED(c_m, s1)))),
% 4.51/4.69 inference(quant_inst,[status(thm)],[])).
% 4.51/4.69 tff(5501,plain,
% 4.51/4.69 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))) | m_main_v_REPLY_h_OWNED(s1) | (~m_memory_v_REPLY_h_OWNED(c_m, s1))),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5500, 5499])).
% 4.51/4.69 tff(5502,plain,
% 4.51/4.69 ($false),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5501, 329, 5498, 5497])).
% 4.51/4.69 tff(5503,plain,(m_main_v_REPLY_h_OWNED(s1) | (~m_memory_v_REPLY_h_OWNED(c_m, s1))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.69 tff(5504,plain,
% 4.51/4.69 (m_main_v_REPLY_h_OWNED(s1)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5503, 5496])).
% 4.51/4.69 tff(5505,plain,
% 4.51/4.69 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p0, s1, c_owned) | (~node57(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | m_processor_v_state(c_p0, s1, c_owned) | (~node57(c_p0, s1)))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5506,plain,
% 4.51/4.69 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p0, s1, c_owned) | (~node57(c_p0, s1)))),
% 4.51/4.69 inference(quant_inst,[status(thm)],[])).
% 4.51/4.69 tff(5507,plain,
% 4.51/4.69 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | m_processor_v_state(c_p0, s1, c_owned) | (~node57(c_p0, s1))),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5506, 5505])).
% 4.51/4.69 tff(5508,plain,
% 4.51/4.69 (~node57(c_p0, s1)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5507, 239, 1768])).
% 4.51/4.69 tff(5509,plain,
% 4.51/4.69 (((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p0, s1)) | node57(c_p0, s1))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p0, s1)) | node57(c_p0, s1))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5510,plain,
% 4.51/4.69 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p0, s1)) | node57(c_p0, s1))),
% 4.51/4.69 inference(quant_inst,[status(thm)],[])).
% 4.51/4.69 tff(5511,plain,
% 4.51/4.69 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p0, s1)) | node57(c_p0, s1)),
% 4.51/4.69 inference(modus_ponens,[status(thm)],[5510, 5509])).
% 4.51/4.69 tff(5512,plain,
% 4.51/4.69 (~m_processor_v_reply_h_owned(c_p0, s1)),
% 4.51/4.69 inference(unit_resolution,[status(thm)],[5511, 252, 5508])).
% 4.51/4.69 tff(5513,plain,
% 4.51/4.69 (((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))) | ((~m_main_v_REPLY_h_OWNED(s1)) | m_processor_v_reply_h_owned(c_p0, s1) | m_processor_v_reply_h_owned(c_p1, s1) | m_processor_v_reply_h_owned(c_p2, s1))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))) | (~m_main_v_REPLY_h_OWNED(s1)) | m_processor_v_reply_h_owned(c_p0, s1) | m_processor_v_reply_h_owned(c_p1, s1) | m_processor_v_reply_h_owned(c_p2, s1))),
% 4.51/4.69 inference(rewrite,[status(thm)],[])).
% 4.51/4.69 tff(5514,plain,
% 4.51/4.69 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))) | ((~m_main_v_REPLY_h_OWNED(s1)) | m_processor_v_reply_h_owned(c_p0, s1) | m_processor_v_reply_h_owned(c_p1, s1) | m_processor_v_reply_h_owned(c_p2, s1))),
% 4.51/4.69 inference(quant_inst,[status(thm)],[])).
% 4.51/4.69 tff(5515,plain,
% 4.51/4.70 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))) | (~m_main_v_REPLY_h_OWNED(s1)) | m_processor_v_reply_h_owned(c_p0, s1) | m_processor_v_reply_h_owned(c_p1, s1) | m_processor_v_reply_h_owned(c_p2, s1)),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5514, 5513])).
% 4.51/4.70 tff(5516,plain,
% 4.51/4.70 ((~m_main_v_REPLY_h_OWNED(s1)) | m_processor_v_reply_h_owned(c_p1, s1) | m_processor_v_reply_h_owned(c_p2, s1)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5515, 312, 5512])).
% 4.51/4.70 tff(5517,plain,
% 4.51/4.70 (m_processor_v_reply_h_owned(c_p2, s1)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5516, 5504, 4952])).
% 4.51/4.70 tff(5518,assumption,(m_processor_v_reply_h_owned(c_p2, s1)), introduced(assumption)).
% 4.51/4.70 tff(5519,assumption,(~node57(c_p2, s1)), introduced(assumption)).
% 4.51/4.70 tff(5520,plain,
% 4.51/4.70 (((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p2, s1)) | node57(c_p2, s1))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p2, s1)) | node57(c_p2, s1))),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5521,plain,
% 4.51/4.70 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p2, s1)) | node57(c_p2, s1))),
% 4.51/4.70 inference(quant_inst,[status(thm)],[])).
% 4.51/4.70 tff(5522,plain,
% 4.51/4.70 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p2, s1)) | node57(c_p2, s1)),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5521, 5520])).
% 4.51/4.70 tff(5523,plain,
% 4.51/4.70 ($false),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5522, 252, 5519, 5518])).
% 4.51/4.70 tff(5524,plain,((~m_processor_v_reply_h_owned(c_p2, s1)) | node57(c_p2, s1)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.70 tff(5525,plain,
% 4.51/4.70 (node57(c_p2, s1)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5524, 5517])).
% 4.51/4.70 tff(5526,assumption,(node57(c_p2, s1)), introduced(assumption)).
% 4.51/4.70 tff(5527,assumption,(~m_processor_v_state(c_p2, s1, c_owned)), introduced(assumption)).
% 4.51/4.70 tff(5528,plain,
% 4.51/4.70 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p2, s1, c_owned) | (~node57(c_p2, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | m_processor_v_state(c_p2, s1, c_owned) | (~node57(c_p2, s1)))),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5529,plain,
% 4.51/4.70 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p2, s1, c_owned) | (~node57(c_p2, s1)))),
% 4.51/4.70 inference(quant_inst,[status(thm)],[])).
% 4.51/4.70 tff(5530,plain,
% 4.51/4.70 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | m_processor_v_state(c_p2, s1, c_owned) | (~node57(c_p2, s1))),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5529, 5528])).
% 4.51/4.70 tff(5531,plain,
% 4.51/4.70 ($false),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5530, 239, 5527, 5526])).
% 4.51/4.70 tff(5532,plain,((~node57(c_p2, s1)) | m_processor_v_state(c_p2, s1, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.70 tff(5533,plain,
% 4.51/4.70 (m_processor_v_state(c_p2, s1, c_owned)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5532, 5525])).
% 4.51/4.70 tff(5534,assumption,(node32(c_p2, s0, s1)), introduced(assumption)).
% 4.51/4.70 tff(5535,assumption,(m_processor_v_state(c_p2, s1, c_owned)), introduced(assumption)).
% 4.51/4.70 tff(5536,plain,
% 4.51/4.70 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node32(c_p2, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node32(c_p2, s0, s1)))),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5537,plain,
% 4.51/4.70 (((~node32(c_p2, s0, s1)) | m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned))) <=> (m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node32(c_p2, s0, s1)))),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5538,plain,
% 4.51/4.70 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p2, s0, s1)) | m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node32(c_p2, s0, s1))))),
% 4.51/4.70 inference(monotonicity,[status(thm)],[5537])).
% 4.51/4.70 tff(5539,plain,
% 4.51/4.70 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p2, s0, s1)) | m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node32(c_p2, s0, s1)))),
% 4.51/4.70 inference(transitivity,[status(thm)],[5538, 5536])).
% 4.51/4.70 tff(5540,plain,
% 4.51/4.70 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p2, s0, s1)) | m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)))),
% 4.51/4.70 inference(quant_inst,[status(thm)],[])).
% 4.51/4.70 tff(5541,plain,
% 4.51/4.70 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node32(c_p2, s0, s1))),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5540, 5539])).
% 4.51/4.70 tff(5542,plain,
% 4.51/4.70 ($false),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5541, 3187, 5535, 5534, 267])).
% 4.51/4.70 tff(5543,plain,((~node32(c_p2, s0, s1)) | (~m_processor_v_state(c_p2, s1, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.70 tff(5544,plain,
% 4.51/4.70 (~node32(c_p2, s0, s1)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5543, 5533])).
% 4.51/4.70 tff(5545,plain,
% 4.51/4.70 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s0, s1)) | node38(c_p2, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s0, s1)) | node38(c_p2, s0, s1))),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5546,plain,
% 4.51/4.70 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s0, s1)) | node38(c_p2, s0, s1))),
% 4.51/4.70 inference(quant_inst,[status(thm)],[])).
% 4.51/4.70 tff(5547,plain,
% 4.51/4.70 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s0, s1)) | node38(c_p2, s0, s1)),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5546, 5545])).
% 4.51/4.70 tff(5548,plain,
% 4.51/4.70 (node38(c_p2, s0, s1)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5547, 61, 54])).
% 4.51/4.70 tff(5549,plain,
% 4.51/4.70 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~m_processor_v_abort(c_p2, s0)) | (~node38(c_p2, s0, s1)) | node32(c_p2, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p2, s0)) | (~node38(c_p2, s0, s1)) | node32(c_p2, s0, s1))),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5550,plain,
% 4.51/4.70 ((node32(c_p2, s0, s1) | (~node38(c_p2, s0, s1)) | (~m_processor_v_abort(c_p2, s0))) <=> ((~m_processor_v_abort(c_p2, s0)) | (~node38(c_p2, s0, s1)) | node32(c_p2, s0, s1))),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5551,plain,
% 4.51/4.70 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p2, s0, s1) | (~node38(c_p2, s0, s1)) | (~m_processor_v_abort(c_p2, s0)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~m_processor_v_abort(c_p2, s0)) | (~node38(c_p2, s0, s1)) | node32(c_p2, s0, s1)))),
% 4.51/4.70 inference(monotonicity,[status(thm)],[5550])).
% 4.51/4.70 tff(5552,plain,
% 4.51/4.70 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p2, s0, s1) | (~node38(c_p2, s0, s1)) | (~m_processor_v_abort(c_p2, s0)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p2, s0)) | (~node38(c_p2, s0, s1)) | node32(c_p2, s0, s1))),
% 4.51/4.70 inference(transitivity,[status(thm)],[5551, 5549])).
% 4.51/4.70 tff(5553,plain,
% 4.51/4.70 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p2, s0, s1) | (~node38(c_p2, s0, s1)) | (~m_processor_v_abort(c_p2, s0)))),
% 4.51/4.70 inference(quant_inst,[status(thm)],[])).
% 4.51/4.70 tff(5554,plain,
% 4.51/4.70 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p2, s0)) | (~node38(c_p2, s0, s1)) | node32(c_p2, s0, s1)),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5553, 5552])).
% 4.51/4.70 tff(5555,plain,
% 4.51/4.70 ((~m_processor_v_abort(c_p2, s0)) | node32(c_p2, s0, s1)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5554, 76, 5548])).
% 4.51/4.70 tff(5556,plain,
% 4.51/4.70 (~m_processor_v_abort(c_p2, s0)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5555, 5544])).
% 4.51/4.70 tff(5557,assumption,(~m_processor_v_abort(c_p2, s0)), introduced(assumption)).
% 4.51/4.70 tff(5558,assumption,(~node60(c_p2, s0)), introduced(assumption)).
% 4.51/4.70 tff(5559,plain,
% 4.51/4.70 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p2, s0) | node60(c_p2, s0))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p2, s0) | node60(c_p2, s0))),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5560,plain,
% 4.51/4.70 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p2, s0) | node60(c_p2, s0))),
% 4.51/4.70 inference(quant_inst,[status(thm)],[])).
% 4.51/4.70 tff(5561,plain,
% 4.51/4.70 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p2, s0) | node60(c_p2, s0)),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5560, 5559])).
% 4.51/4.70 tff(5562,plain,
% 4.51/4.70 ($false),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5561, 491, 5558, 5557])).
% 4.51/4.70 tff(5563,plain,(m_processor_v_abort(c_p2, s0) | node60(c_p2, s0)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.70 tff(5564,plain,
% 4.51/4.70 (node60(c_p2, s0)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5563, 5556])).
% 4.51/4.70 tff(5565,assumption,(node60(c_p2, s0)), introduced(assumption)).
% 4.51/4.70 tff(5566,assumption,(m_processor_v_REPLY_h_STALL(c_p2, s0)), introduced(assumption)).
% 4.51/4.70 tff(5567,plain,
% 4.51/4.70 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p2, s0)) | (~node60(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p2, s0)) | (~node60(c_p2, s0)))),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5568,plain,
% 4.51/4.70 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p2, s0)) | (~node60(c_p2, s0)))),
% 4.51/4.70 inference(quant_inst,[status(thm)],[])).
% 4.51/4.70 tff(5569,plain,
% 4.51/4.70 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p2, s0)) | (~node60(c_p2, s0))),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5568, 5567])).
% 4.51/4.70 tff(5570,plain,
% 4.51/4.70 ($false),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5569, 538, 5566, 5565])).
% 4.51/4.70 tff(5571,plain,((~m_processor_v_REPLY_h_STALL(c_p2, s0)) | (~node60(c_p2, s0))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.70 tff(5572,plain,
% 4.51/4.70 (~m_processor_v_REPLY_h_STALL(c_p2, s0)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5571, 5564])).
% 4.51/4.70 tff(5573,assumption,(~m_processor_v_REPLY_h_STALL(c_p2, s0)), introduced(assumption)).
% 4.51/4.70 tff(5574,plain,
% 4.51/4.70 (^[X: $i] : refl(((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X)) <=> ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X)))),
% 4.51/4.70 inference(bind,[status(th)],[])).
% 4.51/4.70 tff(5575,plain,
% 4.51/4.70 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))),
% 4.51/4.70 inference(quant_intro,[status(thm)],[5574])).
% 4.51/4.70 tff(5576,plain,
% 4.51/4.70 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5577,plain,
% 4.51/4.70 (^[X: $i] : rewrite((m_processor_v_REPLY_h_STALL(c_p2, X) | (~m_main_v_REPLY_h_STALL(X))) <=> ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X)))),
% 4.51/4.70 inference(bind,[status(th)],[])).
% 4.51/4.70 tff(5578,plain,
% 4.51/4.70 (![X: $i] : (m_processor_v_REPLY_h_STALL(c_p2, X) | (~m_main_v_REPLY_h_STALL(X))) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))),
% 4.51/4.70 inference(quant_intro,[status(thm)],[5577])).
% 4.51/4.70 tff(5579,axiom,(![X: $i] : (m_processor_v_REPLY_h_STALL(c_p2, X) | (~m_main_v_REPLY_h_STALL(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_72')).
% 4.51/4.70 tff(5580,plain,
% 4.51/4.70 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5579, 5578])).
% 4.51/4.70 tff(5581,plain,
% 4.51/4.70 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5580, 5576])).
% 4.51/4.70 tff(5582,plain,(
% 4.51/4.70 ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))),
% 4.51/4.70 inference(skolemize,[status(sab)],[5581])).
% 4.51/4.70 tff(5583,plain,
% 4.51/4.70 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5582, 5575])).
% 4.51/4.70 tff(5584,plain,
% 4.51/4.70 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))) | ((~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p2, s0))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))) | (~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p2, s0))),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5585,plain,
% 4.51/4.70 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))) | ((~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p2, s0))),
% 4.51/4.70 inference(quant_inst,[status(thm)],[])).
% 4.51/4.70 tff(5586,plain,
% 4.51/4.70 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))) | (~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p2, s0)),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5585, 5584])).
% 4.51/4.70 tff(5587,plain,
% 4.51/4.70 ($false),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5586, 5583, 514, 5573])).
% 4.51/4.70 tff(5588,plain,(m_processor_v_REPLY_h_STALL(c_p2, s0) | (~m_main_v_REPLY_h_STALL(s0))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.70 tff(5589,plain,
% 4.51/4.70 (~m_main_v_REPLY_h_STALL(s0)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5588, 5572])).
% 4.51/4.70 tff(5590,plain,
% 4.51/4.70 (~node32(c_p2, s0, s1)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5543, 5535])).
% 4.51/4.70 tff(5591,assumption,(node37(c_p2, s0, s1)), introduced(assumption)).
% 4.51/4.70 tff(5592,plain,
% 4.51/4.70 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node37(c_p2, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node37(c_p2, s0, s1)))),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5593,plain,
% 4.51/4.70 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node37(c_p2, s0, s1)))),
% 4.51/4.70 inference(quant_inst,[status(thm)],[])).
% 4.51/4.70 tff(5594,plain,
% 4.51/4.70 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node37(c_p2, s0, s1))),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5593, 5592])).
% 4.51/4.70 tff(5595,plain,
% 4.51/4.70 ($false),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5594, 1612, 5535, 5591, 267])).
% 4.51/4.70 tff(5596,plain,((~node37(c_p2, s0, s1)) | (~m_processor_v_state(c_p2, s1, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.70 tff(5597,plain,
% 4.51/4.70 (~node37(c_p2, s0, s1)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5596, 5535])).
% 4.51/4.70 tff(5598,assumption,(m_processor_v_state(c_p2, s0, c_shared)), introduced(assumption)).
% 4.51/4.70 tff(5599,plain,
% 4.51/4.70 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p2, s0, c_invalid)) | (~m_processor_v_state(c_p2, s0, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p2, s0, c_invalid)) | (~m_processor_v_state(c_p2, s0, c_shared)))),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5600,plain,
% 4.51/4.70 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p2, s0, c_invalid)) | (~m_processor_v_state(c_p2, s0, c_shared)))),
% 4.51/4.70 inference(quant_inst,[status(thm)],[])).
% 4.51/4.70 tff(5601,plain,
% 4.51/4.70 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p2, s0, c_invalid)) | (~m_processor_v_state(c_p2, s0, c_shared))),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5600, 5599])).
% 4.51/4.70 tff(5602,plain,
% 4.51/4.70 ($false),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5601, 107, 262, 5598])).
% 4.51/4.70 tff(5603,plain,(~m_processor_v_state(c_p2, s0, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.70 tff(5604,assumption,(~node37(c_p2, s0, s1)), introduced(assumption)).
% 4.51/4.70 tff(5605,assumption,(~m_processor_v_state(c_p2, s0, c_shared)), introduced(assumption)).
% 4.51/4.70 tff(5606,assumption,(node36(c_p2, s0)), introduced(assumption)).
% 4.51/4.70 tff(5607,plain,
% 4.51/4.70 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p2, s0, c_shared) | (~node36(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p2, s0, c_shared) | (~node36(c_p2, s0)))),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5608,plain,
% 4.51/4.70 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p2, s0, c_shared) | (~node36(c_p2, s0)))),
% 4.51/4.70 inference(quant_inst,[status(thm)],[])).
% 4.51/4.70 tff(5609,plain,
% 4.51/4.70 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p2, s0, c_shared) | (~node36(c_p2, s0))),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5608, 5607])).
% 4.51/4.70 tff(5610,plain,
% 4.51/4.70 ($false),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5609, 118, 5605, 5606])).
% 4.51/4.70 tff(5611,plain,((~node36(c_p2, s0)) | m_processor_v_state(c_p2, s0, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.70 tff(5612,plain,
% 4.51/4.70 (~node36(c_p2, s0)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5611, 5605])).
% 4.51/4.70 tff(5613,plain,
% 4.51/4.70 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p2, s0) | m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | node37(c_p2, s0, s1) | (~node38(c_p2, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s0) | m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | node37(c_p2, s0, s1) | (~node38(c_p2, s0, s1)))),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5614,plain,
% 4.51/4.70 ((m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_master(c_p2, s0) | node37(c_p2, s0, s1) | (~node38(c_p2, s0, s1)) | m_processor_v_abort(c_p2, s0)) <=> (m_processor_v_master(c_p2, s0) | m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | node37(c_p2, s0, s1) | (~node38(c_p2, s0, s1)))),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5615,plain,
% 4.51/4.70 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_master(c_p2, s0) | node37(c_p2, s0, s1) | (~node38(c_p2, s0, s1)) | m_processor_v_abort(c_p2, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p2, s0) | m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | node37(c_p2, s0, s1) | (~node38(c_p2, s0, s1))))),
% 4.51/4.70 inference(monotonicity,[status(thm)],[5614])).
% 4.51/4.70 tff(5616,plain,
% 4.51/4.70 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_master(c_p2, s0) | node37(c_p2, s0, s1) | (~node38(c_p2, s0, s1)) | m_processor_v_abort(c_p2, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s0) | m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | node37(c_p2, s0, s1) | (~node38(c_p2, s0, s1)))),
% 4.51/4.70 inference(transitivity,[status(thm)],[5615, 5613])).
% 4.51/4.70 tff(5617,plain,
% 4.51/4.70 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_master(c_p2, s0) | node37(c_p2, s0, s1) | (~node38(c_p2, s0, s1)) | m_processor_v_abort(c_p2, s0))),
% 4.51/4.70 inference(quant_inst,[status(thm)],[])).
% 4.51/4.70 tff(5618,plain,
% 4.51/4.70 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s0) | m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | node37(c_p2, s0, s1) | (~node38(c_p2, s0, s1))),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5617, 5616])).
% 4.51/4.70 tff(5619,plain,
% 4.51/4.70 (m_processor_v_master(c_p2, s0) | m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | node37(c_p2, s0, s1)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5618, 134, 5548])).
% 4.51/4.70 tff(5620,plain,
% 4.51/4.70 ($false),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5619, 5612, 5605, 5604, 717, 5557])).
% 4.51/4.70 tff(5621,plain,(m_processor_v_state(c_p2, s0, c_shared) | node37(c_p2, s0, s1) | m_processor_v_master(c_p2, s0) | m_processor_v_abort(c_p2, s0)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.70 tff(5622,plain,
% 4.51/4.70 (node37(c_p2, s0, s1) | m_processor_v_master(c_p2, s0) | m_processor_v_abort(c_p2, s0)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5621, 5603])).
% 4.51/4.70 tff(5623,plain,
% 4.51/4.70 (m_processor_v_abort(c_p2, s0)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5622, 5597, 717])).
% 4.51/4.70 tff(5624,plain,
% 4.51/4.70 ($false),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5555, 5623, 5590])).
% 4.51/4.70 tff(5625,plain,((~m_processor_v_state(c_p2, s1, c_owned)) | m_processor_v_master(c_p2, s0)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.70 tff(5626,plain,
% 4.51/4.70 (m_processor_v_master(c_p2, s0)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5625, 5533])).
% 4.51/4.70 tff(5627,plain,
% 4.51/4.70 (^[X: $i] : refl(((~m_processor_v_master(c_p2, X)) | (~node17(X))) <=> ((~m_processor_v_master(c_p2, X)) | (~node17(X))))),
% 4.51/4.70 inference(bind,[status(th)],[])).
% 4.51/4.70 tff(5628,plain,
% 4.51/4.70 (![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X))) <=> ![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))),
% 4.51/4.70 inference(quant_intro,[status(thm)],[5627])).
% 4.51/4.70 tff(5629,plain,
% 4.51/4.70 (![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X))) <=> ![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5630,axiom,(![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_124')).
% 4.51/4.70 tff(5631,plain,
% 4.51/4.70 (![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5630, 5629])).
% 4.51/4.70 tff(5632,plain,(
% 4.51/4.70 ![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))),
% 4.51/4.70 inference(skolemize,[status(sab)],[5631])).
% 4.51/4.70 tff(5633,plain,
% 4.51/4.70 (![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5632, 5628])).
% 4.51/4.70 tff(5634,plain,
% 4.51/4.70 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~node17(s0)) | (~m_processor_v_master(c_p2, s0)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s0)) | (~m_processor_v_master(c_p2, s0)))),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5635,plain,
% 4.51/4.70 (((~m_processor_v_master(c_p2, s0)) | (~node17(s0))) <=> ((~node17(s0)) | (~m_processor_v_master(c_p2, s0)))),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5636,plain,
% 4.51/4.70 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s0)) | (~node17(s0)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~node17(s0)) | (~m_processor_v_master(c_p2, s0))))),
% 4.51/4.70 inference(monotonicity,[status(thm)],[5635])).
% 4.51/4.70 tff(5637,plain,
% 4.51/4.70 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s0)) | (~node17(s0)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s0)) | (~m_processor_v_master(c_p2, s0)))),
% 4.51/4.70 inference(transitivity,[status(thm)],[5636, 5634])).
% 4.51/4.70 tff(5638,plain,
% 4.51/4.70 ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s0)) | (~node17(s0)))),
% 4.51/4.70 inference(quant_inst,[status(thm)],[])).
% 4.51/4.70 tff(5639,plain,
% 4.51/4.70 ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s0)) | (~m_processor_v_master(c_p2, s0))),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5638, 5637])).
% 4.51/4.70 tff(5640,plain,
% 4.51/4.70 ($false),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5639, 5633, 144, 702])).
% 4.51/4.70 tff(5641,plain,((~node17(s0)) | (~m_processor_v_master(c_p2, s0))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.70 tff(5642,plain,
% 4.51/4.70 (~node17(s0)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5641, 5626])).
% 4.51/4.70 tff(5643,plain,
% 4.51/4.70 (~m_memory_v_master(c_m, s0)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[172, 5642])).
% 4.51/4.70 tff(5644,plain,
% 4.51/4.70 (m_memory_v_abort(c_m, s0)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[219, 5643, 4, 6])).
% 4.51/4.70 tff(5645,plain,
% 4.51/4.70 (m_memory_v_REPLY_h_STALL(c_m, s0)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[481, 5644])).
% 4.51/4.70 tff(5646,plain,
% 4.51/4.70 ($false),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[578, 5645, 5589])).
% 4.51/4.70 tff(5647,plain,(node20(c_m, s0) | m_memory_v_busy(c_m, s1) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_abort(c_p1, s1) | m_processor_v_state(c_p0, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.70 tff(5648,plain,
% 4.51/4.70 (node20(c_m, s0)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5647, 4, 4937, 4859, 4936, 4934])).
% 4.51/4.70 tff(5649,plain,
% 4.51/4.70 (~m_processor_v_master(c_p0, s0)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[4054, 5648])).
% 4.51/4.70 tff(5650,plain,
% 4.51/4.70 (m_processor_v_state(c_p0, s1, c_invalid)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[1564, 5649])).
% 4.51/4.70 tff(5651,plain,
% 4.51/4.70 (m_processor_v_state(c_p0, s2, c_invalid)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[2237, 5650, 4934, 4860])).
% 4.51/4.70 tff(5652,plain,
% 4.51/4.70 (~m_processor_v_state(c_p0, s2, c_shared)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[2245, 5651])).
% 4.51/4.70 tff(5653,plain,
% 4.51/4.70 (~node32(c_p0, s2, s3)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[3671, 4934])).
% 4.51/4.70 tff(5654,plain,
% 4.51/4.70 (~m_processor_v_abort(c_p0, s2)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[3686, 5653])).
% 4.51/4.70 tff(5655,plain,
% 4.51/4.70 (m_processor_v_master(c_p0, s2)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[3778, 4934])).
% 4.51/4.70 tff(5656,plain,
% 4.51/4.70 (node34(c_p0, s2, s3)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[3786, 5655, 5654])).
% 4.51/4.70 tff(5657,plain,
% 4.51/4.70 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[3799, 5656])).
% 4.51/4.70 tff(5658,plain,
% 4.51/4.70 (m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[3860, 5651, 4934, 5657, 5652])).
% 4.51/4.70 tff(5659,plain,
% 4.51/4.70 (m_main_v_CMD(s2, c_read_h_owned)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5194, 5658])).
% 4.51/4.70 tff(5660,plain,
% 4.51/4.70 (m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5206, 5659])).
% 4.51/4.70 tff(5661,plain,
% 4.51/4.70 (~node30(c_m, s2)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5214, 5660])).
% 4.51/4.70 tff(5662,plain,
% 4.51/4.70 (node60(c_p0, s2)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[3878, 5654])).
% 4.51/4.70 tff(5663,plain,
% 4.51/4.70 (~m_processor_v_REPLY_h_STALL(c_p0, s2)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5223, 5662])).
% 4.51/4.70 tff(5664,plain,
% 4.51/4.70 (~m_main_v_REPLY_h_STALL(s2)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5231, 5663])).
% 4.51/4.70 tff(5665,plain,
% 4.51/4.70 (node7(s2)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5239, 5664])).
% 4.51/4.70 tff(5666,plain,
% 4.51/4.70 (~m_memory_v_reply_h_stall(c_m, s2)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5247, 5665])).
% 4.51/4.70 tff(5667,plain,
% 4.51/4.70 (node34(c_p1, s1, s2)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5413, 4936, 4859])).
% 4.51/4.70 tff(5668,plain,
% 4.51/4.70 (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5424, 5667, 4937])).
% 4.51/4.70 tff(5669,plain,
% 4.51/4.70 (~m_main_v_CMD(s1, c_read_h_shared)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[3524, 5668])).
% 4.51/4.70 tff(5670,plain,
% 4.51/4.70 (m_main_v_CMD(s1, c_read_h_owned)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[3657, 5669, 4859, 4846])).
% 4.51/4.70 tff(5671,plain,
% 4.51/4.70 (m_memory_v_CMD(c_m, s1, c_read_h_owned)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[4826, 5670])).
% 4.51/4.70 tff(5672,plain,
% 4.51/4.70 (~node20(c_m, s1)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5283, 5671])).
% 4.51/4.70 tff(5673,plain,
% 4.51/4.70 (~m_processor_v_cmd(c_p1, s1, c_idle)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[3562, 4859, 4846])).
% 4.51/4.70 tff(5674,plain,
% 4.51/4.70 (node10(s1)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[3655, 5673])).
% 4.51/4.70 tff(5675,plain,
% 4.51/4.70 (~m_main_v_CMD(s1, c_response)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5143, 5674, 4859])).
% 4.51/4.70 tff(5676,plain,
% 4.51/4.70 (~m_memory_v_CMD(c_m, s1, c_response)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5160, 5154, 4821, 5675])).
% 4.51/4.70 tff(5677,plain,
% 4.51/4.70 (~node19(c_m, s1)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5174, 5171, 5676])).
% 4.51/4.70 tff(5678,plain,
% 4.51/4.70 (~node17(s1)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[3594, 4859])).
% 4.51/4.70 tff(5679,plain,
% 4.51/4.70 (~m_memory_v_master(c_m, s1)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[3294, 5678])).
% 4.51/4.70 tff(5680,plain,
% 4.51/4.70 (node60(c_p1, s1)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[4735, 4936])).
% 4.51/4.70 tff(5681,plain,
% 4.51/4.70 (m_processor_v_CMD(c_p1, s1, c_read_h_owned)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[1986, 5670])).
% 4.51/4.70 tff(5682,plain,
% 4.51/4.70 (~node59(c_p1, s1)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5483, 5681])).
% 4.51/4.70 tff(5683,plain,
% 4.51/4.70 (~m_memory_v_CMD(c_m, s0, c_read_h_owned)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[598, 5648])).
% 4.51/4.70 tff(5684,plain,
% 4.51/4.70 (~m_main_v_CMD(s0, c_read_h_owned)),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[627, 5683])).
% 4.51/4.70 tff(5685,assumption,(m_processor_v_CMD(c_p2, s0, c_read_h_owned)), introduced(assumption)).
% 4.51/4.70 tff(5686,assumption,(~node4(s0)), introduced(assumption)).
% 4.51/4.70 tff(5687,plain,
% 4.51/4.70 (^[X: $i] : refl(node4(X) <=> node4(X))),
% 4.51/4.70 inference(bind,[status(th)],[])).
% 4.51/4.70 tff(5688,plain,
% 4.51/4.70 (![X: $i] : node4(X) <=> ![X: $i] : node4(X)),
% 4.51/4.70 inference(quant_intro,[status(thm)],[5687])).
% 4.51/4.70 tff(5689,plain,
% 4.51/4.70 (![X: $i] : node4(X) <=> ![X: $i] : node4(X)),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5690,axiom,(![X: $i] : node4(X)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_67')).
% 4.51/4.70 tff(5691,plain,
% 4.51/4.70 (![X: $i] : node4(X)),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5690, 5689])).
% 4.51/4.70 tff(5692,plain,(
% 4.51/4.70 ![X: $i] : node4(X)),
% 4.51/4.70 inference(skolemize,[status(sab)],[5691])).
% 4.51/4.70 tff(5693,plain,
% 4.51/4.70 (![X: $i] : node4(X)),
% 4.51/4.70 inference(modus_ponens,[status(thm)],[5692, 5688])).
% 4.51/4.70 tff(5694,plain,
% 4.51/4.70 ((~![X: $i] : node4(X)) | node4(s0)),
% 4.51/4.70 inference(quant_inst,[status(thm)],[])).
% 4.51/4.70 tff(5695,plain,
% 4.51/4.70 ($false),
% 4.51/4.70 inference(unit_resolution,[status(thm)],[5694, 5693, 5686])).
% 4.51/4.70 tff(5696,plain,(node4(s0)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.70 tff(5697,plain,
% 4.51/4.70 (^[V: $i, X: $i] : refl((m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V))) <=> (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V))))),
% 4.51/4.70 inference(bind,[status(th)],[])).
% 4.51/4.70 tff(5698,plain,
% 4.51/4.70 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))),
% 4.51/4.70 inference(quant_intro,[status(thm)],[5697])).
% 4.51/4.70 tff(5699,plain,
% 4.51/4.70 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))),
% 4.51/4.70 inference(rewrite,[status(thm)],[])).
% 4.51/4.70 tff(5700,plain,
% 4.51/4.70 (^[V: $i, X: $i] : rewrite((((~m_processor_v_CMD(c_p2, X, V)) | m_main_v_CMD(X, V)) | (~node4(X))) <=> (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V))))),
% 4.51/4.70 inference(bind,[status(th)],[])).
% 4.51/4.70 tff(5701,plain,
% 4.51/4.70 (![V: $i, X: $i] : (((~m_processor_v_CMD(c_p2, X, V)) | m_main_v_CMD(X, V)) | (~node4(X))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))),
% 4.51/4.70 inference(quant_intro,[status(thm)],[5700])).
% 4.51/4.70 tff(5702,axiom,(![V: $i, X: $i] : (((~m_processor_v_CMD(c_p2, X, V)) | m_main_v_CMD(X, V)) | (~node4(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_66')).
% 4.51/4.70 tff(5703,plain,
% 4.51/4.71 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5702, 5701])).
% 4.51/4.71 tff(5704,plain,
% 4.51/4.71 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5703, 5699])).
% 4.51/4.71 tff(5705,plain,(
% 4.51/4.71 ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))),
% 4.51/4.71 inference(skolemize,[status(sab)],[5704])).
% 4.51/4.71 tff(5706,plain,
% 4.51/4.71 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5705, 5698])).
% 4.51/4.71 tff(5707,plain,
% 4.51/4.71 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_read_h_owned) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_read_h_owned)))),
% 4.51/4.71 inference(rewrite,[status(thm)],[])).
% 4.51/4.71 tff(5708,plain,
% 4.51/4.71 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_read_h_owned)))),
% 4.51/4.71 inference(quant_inst,[status(thm)],[])).
% 4.51/4.71 tff(5709,plain,
% 4.51/4.71 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_read_h_owned) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_read_h_owned))),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5708, 5707])).
% 4.51/4.71 tff(5710,plain,
% 4.51/4.71 ($false),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5709, 5706, 5696, 1002, 5685])).
% 4.51/4.71 tff(5711,plain,((~m_processor_v_CMD(c_p2, s0, c_read_h_owned)) | m_main_v_CMD(s0, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.71 tff(5712,plain,
% 4.51/4.71 (~m_processor_v_CMD(c_p2, s0, c_read_h_owned)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5711, 5684])).
% 4.51/4.71 tff(5713,assumption,(m_processor_v_state(c_p2, s1, c_shared)), introduced(assumption)).
% 4.51/4.71 tff(5714,plain,
% 4.51/4.71 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node37(c_p2, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node37(c_p2, s0, s1)))),
% 4.51/4.71 inference(rewrite,[status(thm)],[])).
% 4.51/4.71 tff(5715,plain,
% 4.51/4.71 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node37(c_p2, s0, s1)))),
% 4.51/4.71 inference(quant_inst,[status(thm)],[])).
% 4.51/4.71 tff(5716,plain,
% 4.51/4.71 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node37(c_p2, s0, s1))),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5715, 5714])).
% 4.51/4.71 tff(5717,plain,
% 4.51/4.71 ($false),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5716, 1612, 5713, 5603, 5591])).
% 4.51/4.71 tff(5718,plain,((~node37(c_p2, s0, s1)) | (~m_processor_v_state(c_p2, s1, c_shared))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.71 tff(5719,plain,
% 4.51/4.71 (~node37(c_p2, s0, s1)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5718, 5713])).
% 4.51/4.71 tff(5720,plain,
% 4.51/4.71 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node32(c_p2, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node32(c_p2, s0, s1)))),
% 4.51/4.71 inference(rewrite,[status(thm)],[])).
% 4.51/4.71 tff(5721,plain,
% 4.51/4.71 (((~node32(c_p2, s0, s1)) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared))) <=> (m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node32(c_p2, s0, s1)))),
% 4.51/4.71 inference(rewrite,[status(thm)],[])).
% 4.51/4.71 tff(5722,plain,
% 4.51/4.71 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p2, s0, s1)) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node32(c_p2, s0, s1))))),
% 4.51/4.71 inference(monotonicity,[status(thm)],[5721])).
% 4.51/4.71 tff(5723,plain,
% 4.51/4.71 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p2, s0, s1)) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node32(c_p2, s0, s1)))),
% 4.51/4.71 inference(transitivity,[status(thm)],[5722, 5720])).
% 4.51/4.71 tff(5724,plain,
% 4.51/4.71 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p2, s0, s1)) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)))),
% 4.51/4.71 inference(quant_inst,[status(thm)],[])).
% 4.51/4.71 tff(5725,plain,
% 4.51/4.71 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node32(c_p2, s0, s1))),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5724, 5723])).
% 4.51/4.71 tff(5726,plain,
% 4.51/4.71 ($false),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5725, 3187, 5713, 5603, 5534])).
% 4.51/4.71 tff(5727,plain,((~node32(c_p2, s0, s1)) | (~m_processor_v_state(c_p2, s1, c_shared))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.71 tff(5728,plain,
% 4.51/4.71 (~node32(c_p2, s0, s1)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5727, 5713])).
% 4.51/4.71 tff(5729,plain,
% 4.51/4.71 (~m_processor_v_abort(c_p2, s0)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5555, 5728])).
% 4.51/4.71 tff(5730,plain,
% 4.51/4.71 (m_processor_v_master(c_p2, s0)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5622, 5729, 5719])).
% 4.51/4.71 tff(5731,plain,
% 4.51/4.71 (node16(s0)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[715, 5730])).
% 4.51/4.71 tff(5732,plain,
% 4.51/4.71 (~m_processor_v_master(c_p1, s0)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[700, 5731])).
% 4.51/4.71 tff(5733,assumption,(m_processor_v_state(c_p2, s1, c_invalid)), introduced(assumption)).
% 4.51/4.71 tff(5734,plain,
% 4.51/4.71 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p2, s1, c_invalid)) | (~m_processor_v_state(c_p2, s1, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p2, s1, c_invalid)) | (~m_processor_v_state(c_p2, s1, c_shared)))),
% 4.51/4.71 inference(rewrite,[status(thm)],[])).
% 4.51/4.71 tff(5735,plain,
% 4.51/4.71 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p2, s1, c_invalid)) | (~m_processor_v_state(c_p2, s1, c_shared)))),
% 4.51/4.71 inference(quant_inst,[status(thm)],[])).
% 4.51/4.71 tff(5736,plain,
% 4.51/4.71 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p2, s1, c_invalid)) | (~m_processor_v_state(c_p2, s1, c_shared))),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5735, 5734])).
% 4.51/4.71 tff(5737,plain,
% 4.51/4.71 ($false),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5736, 107, 5713, 5733])).
% 4.51/4.71 tff(5738,plain,((~m_processor_v_state(c_p2, s1, c_invalid)) | (~m_processor_v_state(c_p2, s1, c_shared))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.71 tff(5739,plain,
% 4.51/4.71 (~m_processor_v_state(c_p2, s1, c_invalid)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5738, 5713])).
% 4.51/4.71 tff(5740,plain,
% 4.51/4.71 (~m_processor_v_master(c_p0, s0)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[4022, 5731])).
% 4.51/4.71 tff(5741,plain,
% 4.51/4.71 (~node62(c_p0, s0)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[824, 757, 5740])).
% 4.51/4.71 tff(5742,plain,
% 4.51/4.71 (m_processor_v_cmd(c_p0, s0, c_idle)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[889, 5741])).
% 4.51/4.71 tff(5743,assumption,(node33(c_p2, s0, s1)), introduced(assumption)).
% 4.51/4.71 tff(5744,plain,
% 4.51/4.71 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node33(c_p2, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node33(c_p2, s0, s1)))),
% 4.51/4.71 inference(rewrite,[status(thm)],[])).
% 4.51/4.71 tff(5745,plain,
% 4.51/4.71 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node33(c_p2, s0, s1)))),
% 4.51/4.71 inference(quant_inst,[status(thm)],[])).
% 4.51/4.71 tff(5746,plain,
% 4.51/4.71 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node33(c_p2, s0, s1))),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5745, 5744])).
% 4.51/4.71 tff(5747,plain,
% 4.51/4.71 ($false),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5746, 1654, 5713, 5603, 5743])).
% 4.51/4.71 tff(5748,plain,((~node33(c_p2, s0, s1)) | (~m_processor_v_state(c_p2, s1, c_shared))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.71 tff(5749,plain,
% 4.51/4.71 (~node33(c_p2, s0, s1)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5748, 5713])).
% 4.51/4.71 tff(5750,plain,
% 4.51/4.71 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p2, s0)) | m_processor_v_abort(c_p2, s0) | node34(c_p2, s0, s1) | (~node38(c_p2, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p2, s0)) | m_processor_v_abort(c_p2, s0) | node34(c_p2, s0, s1) | (~node38(c_p2, s0, s1)))),
% 4.51/4.71 inference(rewrite,[status(thm)],[])).
% 4.51/4.71 tff(5751,plain,
% 4.51/4.71 ((node34(c_p2, s0, s1) | (~m_processor_v_master(c_p2, s0)) | (~node38(c_p2, s0, s1)) | m_processor_v_abort(c_p2, s0)) <=> ((~m_processor_v_master(c_p2, s0)) | m_processor_v_abort(c_p2, s0) | node34(c_p2, s0, s1) | (~node38(c_p2, s0, s1)))),
% 4.51/4.71 inference(rewrite,[status(thm)],[])).
% 4.51/4.71 tff(5752,plain,
% 4.51/4.71 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p2, s0, s1) | (~m_processor_v_master(c_p2, s0)) | (~node38(c_p2, s0, s1)) | m_processor_v_abort(c_p2, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p2, s0)) | m_processor_v_abort(c_p2, s0) | node34(c_p2, s0, s1) | (~node38(c_p2, s0, s1))))),
% 4.51/4.71 inference(monotonicity,[status(thm)],[5751])).
% 4.51/4.71 tff(5753,plain,
% 4.51/4.71 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p2, s0, s1) | (~m_processor_v_master(c_p2, s0)) | (~node38(c_p2, s0, s1)) | m_processor_v_abort(c_p2, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p2, s0)) | m_processor_v_abort(c_p2, s0) | node34(c_p2, s0, s1) | (~node38(c_p2, s0, s1)))),
% 4.51/4.71 inference(transitivity,[status(thm)],[5752, 5750])).
% 4.51/4.71 tff(5754,plain,
% 4.51/4.71 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p2, s0, s1) | (~m_processor_v_master(c_p2, s0)) | (~node38(c_p2, s0, s1)) | m_processor_v_abort(c_p2, s0))),
% 4.51/4.71 inference(quant_inst,[status(thm)],[])).
% 4.51/4.71 tff(5755,plain,
% 4.51/4.71 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p2, s0)) | m_processor_v_abort(c_p2, s0) | node34(c_p2, s0, s1) | (~node38(c_p2, s0, s1))),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5754, 5753])).
% 4.51/4.71 tff(5756,plain,
% 4.51/4.71 ((~m_processor_v_master(c_p2, s0)) | m_processor_v_abort(c_p2, s0) | node34(c_p2, s0, s1)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5755, 640, 5548])).
% 4.51/4.71 tff(5757,plain,
% 4.51/4.71 (node34(c_p2, s0, s1)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5756, 5730, 5729])).
% 4.51/4.71 tff(5758,assumption,(node62(c_p1, s0)), introduced(assumption)).
% 4.51/4.71 tff(5759,plain,
% 4.51/4.71 ($false),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[3992, 757, 124, 5758])).
% 4.51/4.71 tff(5760,plain,((~node62(c_p1, s0)) | m_processor_v_master(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.71 tff(5761,plain,
% 4.51/4.71 (~node62(c_p1, s0)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5760, 124])).
% 4.51/4.71 tff(5762,assumption,(node65(c_p1, s0)), introduced(assumption)).
% 4.51/4.71 tff(5763,plain,
% 4.51/4.71 ($false),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[4004, 861, 232, 5762])).
% 4.51/4.71 tff(5764,plain,(~node65(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.71 tff(5765,assumption,(~node65(c_p1, s0)), introduced(assumption)).
% 4.51/4.71 tff(5766,assumption,(~m_processor_v_cmd(c_p1, s0, c_idle)), introduced(assumption)).
% 4.51/4.71 tff(5767,assumption,(~node62(c_p1, s0)), introduced(assumption)).
% 4.51/4.71 tff(5768,plain,
% 4.51/4.71 ($false),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[4012, 773, 3988, 5767, 5766, 5765, 4001, 3997])).
% 4.51/4.71 tff(5769,plain,(node65(c_p1, s0) | node62(c_p1, s0) | m_processor_v_cmd(c_p1, s0, c_idle)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.71 tff(5770,plain,
% 4.51/4.71 (node62(c_p1, s0) | m_processor_v_cmd(c_p1, s0, c_idle)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5769, 5764])).
% 4.51/4.71 tff(5771,plain,
% 4.51/4.71 (m_processor_v_cmd(c_p1, s0, c_idle)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5770, 5761])).
% 4.51/4.71 tff(5772,plain,
% 4.51/4.71 (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[1295, 1292, 983])).
% 4.51/4.71 tff(5773,plain,
% 4.51/4.71 (^[V: $i, X: $i] : refl(((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X))) <=> ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X))))),
% 4.51/4.71 inference(bind,[status(th)],[])).
% 4.51/4.71 tff(5774,plain,
% 4.51/4.71 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X))) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))),
% 4.51/4.71 inference(quant_intro,[status(thm)],[5773])).
% 4.51/4.71 tff(5775,plain,
% 4.51/4.71 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X))) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))),
% 4.51/4.71 inference(rewrite,[status(thm)],[])).
% 4.51/4.71 tff(5776,plain,
% 4.51/4.71 (^[V: $i, X: $i] : rewrite((((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V)) | (~node12(X))) <=> ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X))))),
% 4.51/4.71 inference(bind,[status(th)],[])).
% 4.51/4.71 tff(5777,plain,
% 4.51/4.71 (![V: $i, X: $i] : (((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V)) | (~node12(X))) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))),
% 4.51/4.71 inference(quant_intro,[status(thm)],[5776])).
% 4.51/4.71 tff(5778,axiom,(![V: $i, X: $i] : (((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_101')).
% 4.51/4.71 tff(5779,plain,
% 4.51/4.71 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5778, 5777])).
% 4.51/4.71 tff(5780,plain,
% 4.51/4.71 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5779, 5775])).
% 4.51/4.71 tff(5781,plain,(
% 4.51/4.71 ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))),
% 4.51/4.71 inference(skolemize,[status(sab)],[5780])).
% 4.51/4.71 tff(5782,plain,
% 4.51/4.71 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5781, 5774])).
% 4.51/4.71 tff(5783,plain,
% 4.51/4.71 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node12(s0)) | (~m_main_v_CMD(s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node12(s0)) | (~m_main_v_CMD(s0, c_read_h_shared)))),
% 4.51/4.71 inference(rewrite,[status(thm)],[])).
% 4.51/4.71 tff(5784,plain,
% 4.51/4.71 (((~m_main_v_CMD(s0, c_read_h_shared)) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node12(s0))) <=> (m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node12(s0)) | (~m_main_v_CMD(s0, c_read_h_shared)))),
% 4.51/4.71 inference(rewrite,[status(thm)],[])).
% 4.51/4.71 tff(5785,plain,
% 4.51/4.71 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s0, c_read_h_shared)) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node12(s0)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node12(s0)) | (~m_main_v_CMD(s0, c_read_h_shared))))),
% 4.51/4.71 inference(monotonicity,[status(thm)],[5784])).
% 4.51/4.71 tff(5786,plain,
% 4.51/4.71 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s0, c_read_h_shared)) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node12(s0)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node12(s0)) | (~m_main_v_CMD(s0, c_read_h_shared)))),
% 4.51/4.71 inference(transitivity,[status(thm)],[5785, 5783])).
% 4.51/4.71 tff(5787,plain,
% 4.51/4.71 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s0, c_read_h_shared)) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node12(s0)))),
% 4.51/4.71 inference(quant_inst,[status(thm)],[])).
% 4.51/4.71 tff(5788,plain,
% 4.51/4.71 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node12(s0)) | (~m_main_v_CMD(s0, c_read_h_shared))),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5787, 5786])).
% 4.51/4.71 tff(5789,plain,
% 4.51/4.71 ((~node12(s0)) | (~m_main_v_CMD(s0, c_read_h_shared))),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5788, 5782, 5772])).
% 4.51/4.71 tff(5790,plain,
% 4.51/4.71 (~node12(s0)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5789, 1336])).
% 4.51/4.71 tff(5791,plain,
% 4.51/4.71 ((~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_shared))),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[1302, 1069, 5772])).
% 4.51/4.71 tff(5792,plain,
% 4.51/4.71 (~node8(s0)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5791, 1336])).
% 4.51/4.71 tff(5793,plain,
% 4.51/4.71 (~m_processor_v_cmd(c_p2, s0, c_idle)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[1308, 5792, 956])).
% 4.51/4.71 tff(5794,assumption,(node11(s0)), introduced(assumption)).
% 4.51/4.71 tff(5795,plain,
% 4.51/4.71 (^[X: $i] : refl((m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X))) <=> (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X))))),
% 4.51/4.71 inference(bind,[status(th)],[])).
% 4.51/4.71 tff(5796,plain,
% 4.51/4.71 (![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X))) <=> ![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))),
% 4.51/4.71 inference(quant_intro,[status(thm)],[5795])).
% 4.51/4.71 tff(5797,plain,
% 4.51/4.71 (![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X))) <=> ![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))),
% 4.51/4.71 inference(rewrite,[status(thm)],[])).
% 4.51/4.71 tff(5798,axiom,(![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_98')).
% 4.51/4.71 tff(5799,plain,
% 4.51/4.71 (![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5798, 5797])).
% 4.51/4.71 tff(5800,plain,(
% 4.51/4.71 ![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))),
% 4.51/4.71 inference(skolemize,[status(sab)],[5799])).
% 4.51/4.71 tff(5801,plain,
% 4.51/4.71 (![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5800, 5796])).
% 4.51/4.71 tff(5802,plain,
% 4.51/4.71 (((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | ((~node11(s0)) | m_processor_v_cmd(c_p2, s0, c_idle))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (~node11(s0)) | m_processor_v_cmd(c_p2, s0, c_idle))),
% 4.51/4.71 inference(rewrite,[status(thm)],[])).
% 4.51/4.71 tff(5803,plain,
% 4.51/4.71 ((m_processor_v_cmd(c_p2, s0, c_idle) | (~node11(s0))) <=> ((~node11(s0)) | m_processor_v_cmd(c_p2, s0, c_idle))),
% 4.51/4.71 inference(rewrite,[status(thm)],[])).
% 4.51/4.71 tff(5804,plain,
% 4.51/4.71 (((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s0, c_idle) | (~node11(s0)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | ((~node11(s0)) | m_processor_v_cmd(c_p2, s0, c_idle)))),
% 4.51/4.71 inference(monotonicity,[status(thm)],[5803])).
% 4.51/4.71 tff(5805,plain,
% 4.51/4.71 (((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s0, c_idle) | (~node11(s0)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (~node11(s0)) | m_processor_v_cmd(c_p2, s0, c_idle))),
% 4.51/4.71 inference(transitivity,[status(thm)],[5804, 5802])).
% 4.51/4.71 tff(5806,plain,
% 4.51/4.71 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s0, c_idle) | (~node11(s0)))),
% 4.51/4.71 inference(quant_inst,[status(thm)],[])).
% 4.51/4.71 tff(5807,plain,
% 4.51/4.71 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (~node11(s0)) | m_processor_v_cmd(c_p2, s0, c_idle)),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5806, 5805])).
% 4.51/4.71 tff(5808,plain,
% 4.51/4.71 ($false),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5807, 5801, 718, 5794])).
% 4.51/4.71 tff(5809,plain,((~node11(s0)) | m_processor_v_cmd(c_p2, s0, c_idle)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.71 tff(5810,plain,
% 4.51/4.71 (~node11(s0)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5809, 5793])).
% 4.51/4.71 tff(5811,assumption,(node9(s0)), introduced(assumption)).
% 4.51/4.71 tff(5812,plain,
% 4.51/4.71 (^[X: $i] : refl(((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle)) <=> ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle)))),
% 4.51/4.71 inference(bind,[status(th)],[])).
% 4.51/4.71 tff(5813,plain,
% 4.51/4.71 (![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle)) <=> ![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))),
% 4.51/4.71 inference(quant_intro,[status(thm)],[5812])).
% 4.51/4.71 tff(5814,plain,
% 4.51/4.71 (![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle)) <=> ![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))),
% 4.51/4.71 inference(rewrite,[status(thm)],[])).
% 4.51/4.71 tff(5815,plain,
% 4.51/4.71 (^[X: $i] : rewrite((m_processor_v_cmd(c_p2, X, c_idle) | (~node9(X))) <=> ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle)))),
% 4.51/4.71 inference(bind,[status(th)],[])).
% 4.51/4.71 tff(5816,plain,
% 4.51/4.71 (![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node9(X))) <=> ![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))),
% 4.51/4.71 inference(quant_intro,[status(thm)],[5815])).
% 4.51/4.71 tff(5817,axiom,(![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node9(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_93')).
% 4.51/4.71 tff(5818,plain,
% 4.51/4.71 (![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5817, 5816])).
% 4.51/4.71 tff(5819,plain,
% 4.51/4.71 (![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5818, 5814])).
% 4.51/4.71 tff(5820,plain,(
% 4.51/4.71 ![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))),
% 4.51/4.71 inference(skolemize,[status(sab)],[5819])).
% 4.51/4.71 tff(5821,plain,
% 4.51/4.71 (![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5820, 5813])).
% 4.51/4.71 tff(5822,plain,
% 4.51/4.71 (((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s0)) | m_processor_v_cmd(c_p2, s0, c_idle))) <=> ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s0)) | m_processor_v_cmd(c_p2, s0, c_idle))),
% 4.51/4.71 inference(rewrite,[status(thm)],[])).
% 4.51/4.71 tff(5823,plain,
% 4.51/4.71 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s0)) | m_processor_v_cmd(c_p2, s0, c_idle))),
% 4.51/4.71 inference(quant_inst,[status(thm)],[])).
% 4.51/4.71 tff(5824,plain,
% 4.51/4.71 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s0)) | m_processor_v_cmd(c_p2, s0, c_idle)),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5823, 5822])).
% 4.51/4.71 tff(5825,plain,
% 4.51/4.71 ($false),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5824, 5821, 718, 5811])).
% 4.51/4.71 tff(5826,plain,((~node9(s0)) | m_processor_v_cmd(c_p2, s0, c_idle)), inference(lemma,lemma(discharge,[]))).
% 4.51/4.71 tff(5827,plain,
% 4.51/4.71 (~node9(s0)),
% 4.51/4.71 inference(unit_resolution,[status(thm)],[5826, 5793])).
% 4.51/4.71 tff(5828,plain,
% 4.51/4.71 (^[X: $i] : refl((node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))))),
% 4.51/4.71 inference(bind,[status(th)],[])).
% 4.51/4.71 tff(5829,plain,
% 4.51/4.71 (![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> ![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.51/4.71 inference(quant_intro,[status(thm)],[5828])).
% 4.51/4.71 tff(5830,plain,
% 4.51/4.71 (![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> ![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.51/4.71 inference(rewrite,[status(thm)],[])).
% 4.51/4.71 tff(5831,plain,
% 4.51/4.71 (^[X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((node9(X) | node11(X)) <=> (node9(X) | node11(X))), (((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> ((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))))), rewrite(((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> (node9(X) | node11(X) | (~m_processor_v_cmd(c_p0, X, c_idle)))), (((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> (node9(X) | node11(X) | (~m_processor_v_cmd(c_p0, X, c_idle))))), ((((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) <=> ((node9(X) | node11(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))))), rewrite(((node9(X) | node11(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) <=> (node9(X) | node11(X) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))), ((((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) <=> (node9(X) | node11(X) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))))), (((((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) <=> ((node9(X) | node11(X) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))))), rewrite(((node9(X) | node11(X) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) <=> (node9(X) | node11(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))), (((((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) <=> (node9(X) | node11(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))))), ((((((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node12(X)) <=> ((node9(X) | node11(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | node12(X)))), rewrite(((node9(X) | node11(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | node12(X)) <=> (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))), ((((((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node12(X)) <=> (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))))),
% 4.51/4.71 inference(bind,[status(th)],[])).
% 4.51/4.71 tff(5832,plain,
% 4.51/4.71 (![X: $i] : (((((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node12(X)) <=> ![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.51/4.71 inference(quant_intro,[status(thm)],[5831])).
% 4.51/4.71 tff(5833,axiom,(![X: $i] : (((((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node12(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_112')).
% 4.51/4.71 tff(5834,plain,
% 4.51/4.71 (![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.51/4.71 inference(modus_ponens,[status(thm)],[5833, 5832])).
% 4.51/4.72 tff(5835,plain,
% 4.51/4.72 (![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.51/4.72 inference(modus_ponens,[status(thm)],[5834, 5830])).
% 4.51/4.72 tff(5836,plain,(
% 4.51/4.72 ![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.51/4.72 inference(skolemize,[status(sab)],[5835])).
% 4.51/4.72 tff(5837,plain,
% 4.51/4.72 (![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.51/4.72 inference(modus_ponens,[status(thm)],[5836, 5829])).
% 4.51/4.72 tff(5838,plain,
% 4.51/4.72 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | node12(s0) | node11(s0) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | node12(s0) | node11(s0) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)))),
% 4.51/4.72 inference(rewrite,[status(thm)],[])).
% 4.51/4.72 tff(5839,plain,
% 4.51/4.72 ((node9(s0) | node11(s0) | node12(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_idle))) <=> ((~m_processor_v_cmd(c_p0, s0, c_idle)) | node12(s0) | node11(s0) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)))),
% 4.51/4.72 inference(rewrite,[status(thm)],[])).
% 4.51/4.72 tff(5840,plain,
% 4.51/4.72 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s0) | node11(s0) | node12(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | node12(s0) | node11(s0) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle))))),
% 4.51/4.72 inference(monotonicity,[status(thm)],[5839])).
% 4.51/4.72 tff(5841,plain,
% 4.51/4.72 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s0) | node11(s0) | node12(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | node12(s0) | node11(s0) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)))),
% 4.51/4.72 inference(transitivity,[status(thm)],[5840, 5838])).
% 4.51/4.72 tff(5842,plain,
% 4.51/4.72 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s0) | node11(s0) | node12(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_idle)))),
% 4.51/4.72 inference(quant_inst,[status(thm)],[])).
% 4.51/4.72 tff(5843,plain,
% 4.51/4.72 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | node12(s0) | node11(s0) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle))),
% 4.51/4.72 inference(modus_ponens,[status(thm)],[5842, 5841])).
% 4.51/4.72 tff(5844,plain,
% 4.51/4.72 (node12(s0) | node11(s0) | node9(s0)),
% 4.51/4.72 inference(unit_resolution,[status(thm)],[5843, 5837, 983, 954, 956])).
% 4.51/4.72 tff(5845,plain,
% 4.51/4.72 ($false),
% 4.51/4.72 inference(unit_resolution,[status(thm)],[5844, 5827, 5810, 5790])).
% 4.51/4.72 tff(5846,plain,((~m_main_v_CMD(s0, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle))), inference(lemma,lemma(discharge,[]))).
% 4.51/4.72 tff(5847,plain,
% 4.51/4.72 (~m_main_v_CMD(s0, c_read_h_shared)),
% 4.51/4.72 inference(unit_resolution,[status(thm)],[5846, 983, 5771])).
% 4.51/4.72 tff(5848,plain,
% 4.51/4.72 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | (~node4(s0)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | (~node4(s0)))),
% 4.51/4.72 inference(rewrite,[status(thm)],[])).
% 4.51/4.72 tff(5849,plain,
% 4.51/4.72 ((m_main_v_CMD(s0, c_read_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared))) <=> (m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | (~node4(s0)))),
% 4.51/4.72 inference(rewrite,[status(thm)],[])).
% 4.51/4.72 tff(5850,plain,
% 4.51/4.72 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | (~node4(s0))))),
% 4.51/4.72 inference(monotonicity,[status(thm)],[5849])).
% 4.51/4.72 tff(5851,plain,
% 4.51/4.72 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | (~node4(s0)))),
% 4.51/4.72 inference(transitivity,[status(thm)],[5850, 5848])).
% 4.51/4.72 tff(5852,plain,
% 4.51/4.72 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)))),
% 4.51/4.72 inference(quant_inst,[status(thm)],[])).
% 4.51/4.72 tff(5853,plain,
% 4.51/4.72 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | (~node4(s0))),
% 4.51/4.72 inference(modus_ponens,[status(thm)],[5852, 5851])).
% 4.51/4.72 tff(5854,plain,
% 4.51/4.72 (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)),
% 4.51/4.72 inference(unit_resolution,[status(thm)],[5853, 5706, 5696, 5847])).
% 4.51/4.72 tff(5855,plain,
% 4.51/4.72 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid))) <=> ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid))))),
% 4.51/4.72 inference(bind,[status(th)],[])).
% 4.51/4.72 tff(5856,plain,
% 4.51/4.72 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 4.51/4.72 inference(quant_intro,[status(thm)],[5855])).
% 4.51/4.72 tff(5857,plain,
% 4.51/4.72 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 4.51/4.72 inference(rewrite,[status(thm)],[])).
% 4.51/4.72 tff(5858,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_4')).
% 4.51/4.72 tff(5859,plain,
% 4.51/4.72 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 4.51/4.72 inference(modus_ponens,[status(thm)],[5858, 5857])).
% 4.51/4.72 tff(5860,plain,(
% 4.51/4.72 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 4.51/4.72 inference(skolemize,[status(sab)],[5859])).
% 4.51/4.72 tff(5861,plain,
% 4.51/4.72 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 4.51/4.72 inference(modus_ponens,[status(thm)],[5860, 5856])).
% 4.51/4.72 tff(5862,plain,
% 4.51/4.72 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_invalid)))),
% 4.51/4.72 inference(rewrite,[status(thm)],[])).
% 4.51/4.72 tff(5863,plain,
% 4.51/4.72 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_invalid)))),
% 4.51/4.72 inference(quant_inst,[status(thm)],[])).
% 4.51/4.72 tff(5864,plain,
% 4.51/4.72 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_invalid))),
% 4.51/4.72 inference(modus_ponens,[status(thm)],[5863, 5862])).
% 4.51/4.72 tff(5865,plain,
% 4.51/4.72 (~m_processor_v_cmd(c_p0, s0, c_write_h_invalid)),
% 4.51/4.72 inference(unit_resolution,[status(thm)],[5864, 5861, 983])).
% 4.51/4.72 tff(5866,plain,
% 4.51/4.72 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid)))),
% 4.51/4.72 inference(rewrite,[status(thm)],[])).
% 4.51/4.72 tff(5867,plain,
% 4.51/4.72 (((~m_main_v_CMD(s0, c_write_h_invalid)) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node12(s0))) <=> (m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid)))),
% 4.51/4.72 inference(rewrite,[status(thm)],[])).
% 4.51/4.72 tff(5868,plain,
% 4.51/4.72 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s0, c_write_h_invalid)) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node12(s0)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid))))),
% 4.51/4.72 inference(monotonicity,[status(thm)],[5867])).
% 4.51/4.72 tff(5869,plain,
% 4.51/4.72 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s0, c_write_h_invalid)) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node12(s0)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid)))),
% 4.51/4.72 inference(transitivity,[status(thm)],[5868, 5866])).
% 4.51/4.72 tff(5870,plain,
% 4.51/4.72 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s0, c_write_h_invalid)) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node12(s0)))),
% 4.51/4.72 inference(quant_inst,[status(thm)],[])).
% 4.51/4.72 tff(5871,plain,
% 4.51/4.72 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid))),
% 4.51/4.72 inference(modus_ponens,[status(thm)],[5870, 5869])).
% 4.51/4.72 tff(5872,plain,
% 4.51/4.72 ((~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid))),
% 4.51/4.72 inference(unit_resolution,[status(thm)],[5871, 5782, 5865])).
% 4.51/4.72 tff(5873,plain,
% 4.51/4.72 (~node12(s0)),
% 4.51/4.72 inference(unit_resolution,[status(thm)],[5872, 1274])).
% 4.51/4.72 tff(5874,plain,
% 4.51/4.72 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid)))),
% 4.56/4.72 inference(rewrite,[status(thm)],[])).
% 4.56/4.72 tff(5875,plain,
% 4.56/4.72 (((~m_main_v_CMD(s0, c_write_h_invalid)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid)) <=> (m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid)))),
% 4.56/4.72 inference(rewrite,[status(thm)],[])).
% 4.56/4.72 tff(5876,plain,
% 4.56/4.72 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_invalid)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid))))),
% 4.56/4.72 inference(monotonicity,[status(thm)],[5875])).
% 4.56/4.72 tff(5877,plain,
% 4.56/4.72 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_invalid)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid)))),
% 4.56/4.72 inference(transitivity,[status(thm)],[5876, 5874])).
% 4.56/4.72 tff(5878,plain,
% 4.56/4.72 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_invalid)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid))),
% 4.56/4.72 inference(quant_inst,[status(thm)],[])).
% 4.56/4.72 tff(5879,plain,
% 4.56/4.72 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid))),
% 4.56/4.72 inference(modus_ponens,[status(thm)],[5878, 5877])).
% 4.56/4.72 tff(5880,plain,
% 4.56/4.72 ((~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid))),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[5879, 1069, 5865])).
% 4.56/4.72 tff(5881,plain,
% 4.56/4.72 (~node8(s0)),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[5880, 1274])).
% 4.56/4.72 tff(5882,plain,
% 4.56/4.72 (~m_processor_v_cmd(c_p2, s0, c_idle)),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[1308, 5881, 956])).
% 4.56/4.72 tff(5883,plain,
% 4.56/4.72 (~node11(s0)),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[5809, 5882])).
% 4.56/4.72 tff(5884,plain,
% 4.56/4.72 (~node9(s0)),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[5826, 5882])).
% 4.56/4.72 tff(5885,plain,
% 4.56/4.72 ($false),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[5844, 5884, 5883, 5873])).
% 4.56/4.72 tff(5886,plain,((~m_main_v_CMD(s0, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle))), inference(lemma,lemma(discharge,[]))).
% 4.56/4.72 tff(5887,plain,
% 4.56/4.72 (~m_main_v_CMD(s0, c_write_h_invalid)),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[5886, 983, 5771])).
% 4.56/4.72 tff(5888,assumption,(m_processor_v_CMD(c_p2, s0, c_write_h_invalid)), introduced(assumption)).
% 4.56/4.72 tff(5889,plain,
% 4.56/4.72 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_write_h_invalid) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_write_h_invalid) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)))),
% 4.56/4.72 inference(rewrite,[status(thm)],[])).
% 4.56/4.72 tff(5890,plain,
% 4.56/4.72 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_write_h_invalid) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)))),
% 4.56/4.72 inference(quant_inst,[status(thm)],[])).
% 4.56/4.72 tff(5891,plain,
% 4.56/4.72 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_write_h_invalid) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid))),
% 4.56/4.72 inference(modus_ponens,[status(thm)],[5890, 5889])).
% 4.56/4.72 tff(5892,plain,
% 4.56/4.72 ($false),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[5891, 5706, 5696, 1245, 5888])).
% 4.56/4.72 tff(5893,plain,((~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)) | m_main_v_CMD(s0, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.56/4.72 tff(5894,plain,
% 4.56/4.72 (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[5893, 5887])).
% 4.56/4.72 tff(5895,assumption,(~m_processor_v_state(c_p2, s1, c_invalid)), introduced(assumption)).
% 4.56/4.72 tff(5896,assumption,(~m_processor_v_CMD(c_p2, s0, c_read_h_owned)), introduced(assumption)).
% 4.56/4.72 tff(5897,assumption,(node34(c_p2, s0, s1)), introduced(assumption)).
% 4.56/4.72 tff(5898,plain,
% 4.56/4.72 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid) | (~node34(c_p2, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid) | (~node34(c_p2, s0, s1)))),
% 4.56/4.72 inference(rewrite,[status(thm)],[])).
% 4.56/4.72 tff(5899,plain,
% 4.56/4.72 (((~node34(c_p2, s0, s1)) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid) | (~node34(c_p2, s0, s1)))),
% 4.56/4.72 inference(rewrite,[status(thm)],[])).
% 4.56/4.72 tff(5900,plain,
% 4.56/4.72 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p2, s0, s1)) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid) | (~node34(c_p2, s0, s1))))),
% 4.56/4.72 inference(monotonicity,[status(thm)],[5899])).
% 4.56/4.72 tff(5901,plain,
% 4.56/4.72 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p2, s0, s1)) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid) | (~node34(c_p2, s0, s1)))),
% 4.56/4.72 inference(transitivity,[status(thm)],[5900, 5898])).
% 4.56/4.72 tff(5902,plain,
% 4.56/4.72 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p2, s0, s1)) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid)))),
% 4.56/4.72 inference(quant_inst,[status(thm)],[])).
% 4.56/4.72 tff(5903,plain,
% 4.56/4.72 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid) | (~node34(c_p2, s0, s1))),
% 4.56/4.72 inference(modus_ponens,[status(thm)],[5902, 5901])).
% 4.56/4.72 tff(5904,plain,
% 4.56/4.72 (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid)),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[5903, 1415, 5897])).
% 4.56/4.72 tff(5905,plain,
% 4.56/4.72 (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid)),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[5904, 5896, 5895, 5894, 5854])).
% 4.56/4.72 tff(5906,plain,
% 4.56/4.72 (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared)),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[1110, 1107, 983])).
% 4.56/4.72 tff(5907,plain,
% 4.56/4.72 (~m_processor_v_cmd(c_p0, s0, c_write_h_shared)),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[1187, 1184, 983])).
% 4.56/4.72 tff(5908,assumption,(~node33(c_p2, s0, s1)), introduced(assumption)).
% 4.56/4.72 tff(5909,assumption,(~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid)), introduced(assumption)).
% 4.56/4.72 tff(5910,assumption,(~m_processor_v_CMD(c_p2, s0, c_read_h_shared)), introduced(assumption)).
% 4.56/4.72 tff(5911,assumption,(~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)), introduced(assumption)).
% 4.56/4.72 tff(5912,assumption,(node12(s0)), introduced(assumption)).
% 4.56/4.72 tff(5913,assumption,(~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared)), introduced(assumption)).
% 4.56/4.72 tff(5914,plain,
% 4.56/4.72 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))),
% 4.56/4.72 inference(rewrite,[status(thm)],[])).
% 4.56/4.72 tff(5915,plain,
% 4.56/4.72 (((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node12(s0))) <=> (m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))),
% 4.56/4.72 inference(rewrite,[status(thm)],[])).
% 4.56/4.72 tff(5916,plain,
% 4.56/4.72 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node12(s0)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared))))),
% 4.56/4.72 inference(monotonicity,[status(thm)],[5915])).
% 4.56/4.72 tff(5917,plain,
% 4.56/4.72 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node12(s0)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))),
% 4.56/4.72 inference(transitivity,[status(thm)],[5916, 5914])).
% 4.56/4.72 tff(5918,plain,
% 4.56/4.72 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node12(s0)))),
% 4.56/4.72 inference(quant_inst,[status(thm)],[])).
% 4.56/4.72 tff(5919,plain,
% 4.56/4.72 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared))),
% 4.56/4.72 inference(modus_ponens,[status(thm)],[5918, 5917])).
% 4.56/4.72 tff(5920,plain,
% 4.56/4.72 ((~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared))),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[5919, 5782, 5913])).
% 4.56/4.72 tff(5921,plain,
% 4.56/4.72 (~m_main_v_CMD(s0, c_write_h_resp_h_shared)),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[5920, 5912])).
% 4.56/4.72 tff(5922,assumption,(m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)), introduced(assumption)).
% 4.56/4.72 tff(5923,plain,
% 4.56/4.72 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_write_h_resp_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_write_h_resp_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)))),
% 4.56/4.72 inference(rewrite,[status(thm)],[])).
% 4.56/4.72 tff(5924,plain,
% 4.56/4.72 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_write_h_resp_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)))),
% 4.56/4.72 inference(quant_inst,[status(thm)],[])).
% 4.56/4.72 tff(5925,plain,
% 4.56/4.72 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_write_h_resp_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared))),
% 4.56/4.72 inference(modus_ponens,[status(thm)],[5924, 5923])).
% 4.56/4.72 tff(5926,plain,
% 4.56/4.72 ($false),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[5925, 5706, 5696, 1219, 5922])).
% 4.56/4.72 tff(5927,plain,((~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)) | m_main_v_CMD(s0, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.56/4.72 tff(5928,plain,
% 4.56/4.72 (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[5927, 5921])).
% 4.56/4.72 tff(5929,assumption,(~m_processor_v_cmd(c_p0, s0, c_write_h_shared)), introduced(assumption)).
% 4.56/4.72 tff(5930,plain,
% 4.56/4.72 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_shared)))),
% 4.56/4.72 inference(rewrite,[status(thm)],[])).
% 4.56/4.72 tff(5931,plain,
% 4.56/4.72 (((~m_main_v_CMD(s0, c_write_h_shared)) | m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node12(s0))) <=> (m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_shared)))),
% 4.56/4.72 inference(rewrite,[status(thm)],[])).
% 4.56/4.72 tff(5932,plain,
% 4.56/4.72 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s0, c_write_h_shared)) | m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node12(s0)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_shared))))),
% 4.56/4.72 inference(monotonicity,[status(thm)],[5931])).
% 4.56/4.72 tff(5933,plain,
% 4.56/4.72 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s0, c_write_h_shared)) | m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node12(s0)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_shared)))),
% 4.56/4.72 inference(transitivity,[status(thm)],[5932, 5930])).
% 4.56/4.72 tff(5934,plain,
% 4.56/4.72 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s0, c_write_h_shared)) | m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node12(s0)))),
% 4.56/4.72 inference(quant_inst,[status(thm)],[])).
% 4.56/4.72 tff(5935,plain,
% 4.56/4.72 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_shared))),
% 4.56/4.72 inference(modus_ponens,[status(thm)],[5934, 5933])).
% 4.56/4.72 tff(5936,plain,
% 4.56/4.72 ((~node12(s0)) | (~m_main_v_CMD(s0, c_write_h_shared))),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[5935, 5782, 5929])).
% 4.56/4.72 tff(5937,plain,
% 4.56/4.72 (~m_main_v_CMD(s0, c_write_h_shared)),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[5936, 5912])).
% 4.56/4.72 tff(5938,assumption,(m_processor_v_CMD(c_p2, s0, c_write_h_shared)), introduced(assumption)).
% 4.56/4.72 tff(5939,plain,
% 4.56/4.72 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_write_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_write_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_shared)))),
% 4.56/4.72 inference(rewrite,[status(thm)],[])).
% 4.56/4.72 tff(5940,plain,
% 4.56/4.72 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_write_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_shared)))),
% 4.56/4.72 inference(quant_inst,[status(thm)],[])).
% 4.56/4.72 tff(5941,plain,
% 4.56/4.72 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_write_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_shared))),
% 4.56/4.72 inference(modus_ponens,[status(thm)],[5940, 5939])).
% 4.56/4.72 tff(5942,plain,
% 4.56/4.72 ($false),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[5941, 5706, 5696, 1221, 5938])).
% 4.56/4.72 tff(5943,plain,((~m_processor_v_CMD(c_p2, s0, c_write_h_shared)) | m_main_v_CMD(s0, c_write_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.56/4.72 tff(5944,plain,
% 4.56/4.72 (~m_processor_v_CMD(c_p2, s0, c_write_h_shared)),
% 4.56/4.72 inference(unit_resolution,[status(thm)],[5943, 5937])).
% 4.56/4.72 tff(5945,plain,
% 4.56/4.72 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | node33(c_p2, s0, s1) | (~node34(c_p2, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | node33(c_p2, s0, s1) | (~node34(c_p2, s0, s1)))),
% 4.56/4.73 inference(rewrite,[status(thm)],[])).
% 4.56/4.73 tff(5946,plain,
% 4.56/4.73 ((node33(c_p2, s0, s1) | (~node34(c_p2, s0, s1)) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | node33(c_p2, s0, s1) | (~node34(c_p2, s0, s1)))),
% 4.56/4.73 inference(rewrite,[status(thm)],[])).
% 4.56/4.73 tff(5947,plain,
% 4.56/4.73 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p2, s0, s1) | (~node34(c_p2, s0, s1)) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | node33(c_p2, s0, s1) | (~node34(c_p2, s0, s1))))),
% 4.56/4.73 inference(monotonicity,[status(thm)],[5946])).
% 4.56/4.73 tff(5948,plain,
% 4.56/4.73 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p2, s0, s1) | (~node34(c_p2, s0, s1)) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | node33(c_p2, s0, s1) | (~node34(c_p2, s0, s1)))),
% 4.56/4.73 inference(transitivity,[status(thm)],[5947, 5945])).
% 4.56/4.73 tff(5949,plain,
% 4.56/4.73 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p2, s0, s1) | (~node34(c_p2, s0, s1)) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared))),
% 4.56/4.73 inference(quant_inst,[status(thm)],[])).
% 4.56/4.73 tff(5950,plain,
% 4.56/4.73 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | node33(c_p2, s0, s1) | (~node34(c_p2, s0, s1))),
% 4.56/4.73 inference(modus_ponens,[status(thm)],[5949, 5948])).
% 4.56/4.73 tff(5951,plain,
% 4.56/4.73 (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | (~node34(c_p2, s0, s1))),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5950, 1265, 5908])).
% 4.56/4.73 tff(5952,plain,
% 4.56/4.73 ($false),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5951, 5944, 5928, 5897, 5896, 5911, 5910, 5909])).
% 4.56/4.73 tff(5953,plain,((~node12(s0)) | (~node34(c_p2, s0, s1)) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | node33(c_p2, s0, s1) | m_processor_v_cmd(c_p0, s0, c_write_h_shared) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.56/4.73 tff(5954,plain,
% 4.56/4.73 (~node12(s0)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5953, 5896, 5897, 5894, 5854, 5905, 5908, 5907, 5906])).
% 4.56/4.73 tff(5955,assumption,(~node12(s0)), introduced(assumption)).
% 4.56/4.73 tff(5956,plain,
% 4.56/4.73 (~node11(s0)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5809, 718])).
% 4.56/4.73 tff(5957,plain,
% 4.56/4.73 (~node9(s0)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5826, 718])).
% 4.56/4.73 tff(5958,plain,
% 4.56/4.73 ($false),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5844, 5957, 5956, 5955])).
% 4.56/4.73 tff(5959,plain,(m_processor_v_cmd(c_p2, s0, c_idle) | node12(s0) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle))), inference(lemma,lemma(discharge,[]))).
% 4.56/4.73 tff(5960,plain,
% 4.56/4.73 (m_processor_v_cmd(c_p2, s0, c_idle)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5959, 5954, 5771, 983])).
% 4.56/4.73 tff(5961,plain,
% 4.56/4.73 (node8(s0)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[4016, 5960, 124])).
% 4.56/4.73 tff(5962,plain,
% 4.56/4.73 ((~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared))),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[1117, 1069, 5906])).
% 4.56/4.73 tff(5963,plain,
% 4.56/4.73 (~m_main_v_CMD(s0, c_write_h_resp_h_shared)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5962, 5961])).
% 4.56/4.73 tff(5964,plain,
% 4.56/4.73 (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5927, 5963])).
% 4.56/4.73 tff(5965,plain,
% 4.56/4.73 ((~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_shared))),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[1194, 1069, 5907])).
% 4.56/4.73 tff(5966,plain,
% 4.56/4.73 (~m_main_v_CMD(s0, c_write_h_shared)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5965, 5961])).
% 4.56/4.73 tff(5967,plain,
% 4.56/4.73 (~m_processor_v_CMD(c_p2, s0, c_write_h_shared)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5943, 5966])).
% 4.56/4.73 tff(5968,plain,
% 4.56/4.73 ($false),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5951, 5967, 5964, 5897, 5896, 5894, 5854, 5905])).
% 4.56/4.73 tff(5969,plain,(m_processor_v_CMD(c_p2, s0, c_read_h_owned) | (~node34(c_p2, s0, s1)) | node33(c_p2, s0, s1) | m_processor_v_master(c_p1, s0) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | m_processor_v_state(c_p2, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.56/4.73 tff(5970,plain,
% 4.56/4.73 (m_processor_v_CMD(c_p2, s0, c_read_h_owned)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5969, 5757, 5749, 5732, 5742, 5739])).
% 4.56/4.73 tff(5971,plain,
% 4.56/4.73 (m_main_v_CMD(s0, c_read_h_owned)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5711, 5970])).
% 4.56/4.73 tff(5972,plain,
% 4.56/4.73 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_owned)))),
% 4.56/4.73 inference(rewrite,[status(thm)],[])).
% 4.56/4.73 tff(5973,plain,
% 4.56/4.73 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_owned)))),
% 4.56/4.73 inference(quant_inst,[status(thm)],[])).
% 4.56/4.73 tff(5974,plain,
% 4.56/4.73 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_owned))),
% 4.56/4.73 inference(modus_ponens,[status(thm)],[5973, 5972])).
% 4.56/4.73 tff(5975,plain,
% 4.56/4.73 (~m_processor_v_cmd(c_p0, s0, c_read_h_owned)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5974, 963, 5742])).
% 4.56/4.73 tff(5976,plain,
% 4.56/4.73 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_read_h_owned) | (~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_read_h_owned) | (~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_owned)))),
% 4.56/4.73 inference(rewrite,[status(thm)],[])).
% 4.56/4.73 tff(5977,plain,
% 4.56/4.73 (((~m_main_v_CMD(s0, c_read_h_owned)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_read_h_owned)) <=> (m_processor_v_cmd(c_p0, s0, c_read_h_owned) | (~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_owned)))),
% 4.56/4.73 inference(rewrite,[status(thm)],[])).
% 4.56/4.73 tff(5978,plain,
% 4.56/4.73 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_read_h_owned)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_read_h_owned) | (~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_owned))))),
% 4.56/4.73 inference(monotonicity,[status(thm)],[5977])).
% 4.56/4.73 tff(5979,plain,
% 4.56/4.73 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_read_h_owned)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_read_h_owned) | (~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_owned)))),
% 4.56/4.73 inference(transitivity,[status(thm)],[5978, 5976])).
% 4.56/4.73 tff(5980,plain,
% 4.56/4.73 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_read_h_owned)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_read_h_owned))),
% 4.56/4.73 inference(quant_inst,[status(thm)],[])).
% 4.56/4.73 tff(5981,plain,
% 4.56/4.73 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_read_h_owned) | (~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_owned))),
% 4.56/4.73 inference(modus_ponens,[status(thm)],[5980, 5979])).
% 4.56/4.73 tff(5982,plain,
% 4.56/4.73 ((~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_owned))),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5981, 1069, 5975])).
% 4.56/4.73 tff(5983,plain,
% 4.56/4.73 (~node8(s0)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5982, 5971])).
% 4.56/4.73 tff(5984,plain,
% 4.56/4.73 (~node62(c_p1, s0)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5760, 5732])).
% 4.56/4.73 tff(5985,plain,
% 4.56/4.73 (m_processor_v_cmd(c_p1, s0, c_idle)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5770, 5984])).
% 4.56/4.73 tff(5986,assumption,(~m_processor_v_cmd(c_p0, s0, c_read_h_owned)), introduced(assumption)).
% 4.56/4.73 tff(5987,plain,
% 4.56/4.73 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s0, c_read_h_owned) | (~node12(s0)) | (~m_main_v_CMD(s0, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s0, c_read_h_owned) | (~node12(s0)) | (~m_main_v_CMD(s0, c_read_h_owned)))),
% 4.56/4.73 inference(rewrite,[status(thm)],[])).
% 4.56/4.73 tff(5988,plain,
% 4.56/4.73 (((~m_main_v_CMD(s0, c_read_h_owned)) | m_processor_v_cmd(c_p0, s0, c_read_h_owned) | (~node12(s0))) <=> (m_processor_v_cmd(c_p0, s0, c_read_h_owned) | (~node12(s0)) | (~m_main_v_CMD(s0, c_read_h_owned)))),
% 4.56/4.73 inference(rewrite,[status(thm)],[])).
% 4.56/4.73 tff(5989,plain,
% 4.56/4.73 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s0, c_read_h_owned)) | m_processor_v_cmd(c_p0, s0, c_read_h_owned) | (~node12(s0)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s0, c_read_h_owned) | (~node12(s0)) | (~m_main_v_CMD(s0, c_read_h_owned))))),
% 4.56/4.73 inference(monotonicity,[status(thm)],[5988])).
% 4.56/4.73 tff(5990,plain,
% 4.56/4.73 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s0, c_read_h_owned)) | m_processor_v_cmd(c_p0, s0, c_read_h_owned) | (~node12(s0)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s0, c_read_h_owned) | (~node12(s0)) | (~m_main_v_CMD(s0, c_read_h_owned)))),
% 4.56/4.73 inference(transitivity,[status(thm)],[5989, 5987])).
% 4.56/4.73 tff(5991,plain,
% 4.56/4.73 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s0, c_read_h_owned)) | m_processor_v_cmd(c_p0, s0, c_read_h_owned) | (~node12(s0)))),
% 4.56/4.73 inference(quant_inst,[status(thm)],[])).
% 4.56/4.73 tff(5992,plain,
% 4.56/4.73 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s0, c_read_h_owned) | (~node12(s0)) | (~m_main_v_CMD(s0, c_read_h_owned))),
% 4.56/4.73 inference(modus_ponens,[status(thm)],[5991, 5990])).
% 4.56/4.73 tff(5993,plain,
% 4.56/4.73 ($false),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5992, 5782, 5986, 601, 5912])).
% 4.56/4.73 tff(5994,plain,((~node12(s0)) | m_processor_v_cmd(c_p0, s0, c_read_h_owned) | (~m_main_v_CMD(s0, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.56/4.73 tff(5995,plain,
% 4.56/4.73 (~node12(s0)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5994, 5971, 5975])).
% 4.56/4.73 tff(5996,plain,
% 4.56/4.73 (m_processor_v_cmd(c_p2, s0, c_idle)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5959, 5995, 5985, 5742])).
% 4.56/4.73 tff(5997,plain,
% 4.56/4.73 ($false),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[4016, 5996, 5983, 5732])).
% 4.56/4.73 tff(5998,plain,(~m_processor_v_state(c_p2, s1, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.56/4.73 tff(5999,plain,
% 4.56/4.73 (~m_processor_v_abort(c_p2, s0)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5555, 5590])).
% 4.56/4.73 tff(6000,plain,
% 4.56/4.73 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node33(c_p2, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node33(c_p2, s0, s1)))),
% 4.56/4.73 inference(rewrite,[status(thm)],[])).
% 4.56/4.73 tff(6001,plain,
% 4.56/4.73 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node33(c_p2, s0, s1)))),
% 4.56/4.73 inference(quant_inst,[status(thm)],[])).
% 4.56/4.73 tff(6002,plain,
% 4.56/4.73 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node33(c_p2, s0, s1))),
% 4.56/4.73 inference(modus_ponens,[status(thm)],[6001, 6000])).
% 4.56/4.73 tff(6003,plain,
% 4.56/4.73 ($false),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[6002, 1654, 5535, 267, 5743])).
% 4.56/4.73 tff(6004,plain,((~node33(c_p2, s0, s1)) | (~m_processor_v_state(c_p2, s1, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.56/4.73 tff(6005,plain,
% 4.56/4.73 (~node33(c_p2, s0, s1)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[6004, 5535])).
% 4.56/4.73 tff(6006,plain,
% 4.56/4.73 (m_processor_v_master(c_p2, s0)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5622, 5597, 5557])).
% 4.56/4.73 tff(6007,plain,
% 4.56/4.73 (node34(c_p2, s0, s1)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5756, 6006, 5557])).
% 4.56/4.73 tff(6008,plain,
% 4.56/4.73 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s1, c_invalid)) | (~m_processor_v_state(c_p2, s1, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s1, c_invalid)) | (~m_processor_v_state(c_p2, s1, c_owned)))),
% 4.56/4.73 inference(rewrite,[status(thm)],[])).
% 4.56/4.73 tff(6009,plain,
% 4.56/4.73 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s1, c_invalid)) | (~m_processor_v_state(c_p2, s1, c_owned)))),
% 4.56/4.73 inference(quant_inst,[status(thm)],[])).
% 4.56/4.73 tff(6010,plain,
% 4.56/4.73 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s1, c_invalid)) | (~m_processor_v_state(c_p2, s1, c_owned))),
% 4.56/4.73 inference(modus_ponens,[status(thm)],[6009, 6008])).
% 4.56/4.73 tff(6011,plain,
% 4.56/4.73 ($false),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[6010, 228, 5535, 5733])).
% 4.56/4.73 tff(6012,plain,((~m_processor_v_state(c_p2, s1, c_invalid)) | (~m_processor_v_state(c_p2, s1, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.56/4.73 tff(6013,plain,
% 4.56/4.73 (~m_processor_v_state(c_p2, s1, c_invalid)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[6012, 5535])).
% 4.56/4.73 tff(6014,plain,
% 4.56/4.73 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid) | (~node34(c_p2, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid) | (~node34(c_p2, s0, s1)))),
% 4.56/4.73 inference(rewrite,[status(thm)],[])).
% 4.56/4.73 tff(6015,plain,
% 4.56/4.73 (((~node34(c_p2, s0, s1)) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid) | (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid))) <=> (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid) | (~node34(c_p2, s0, s1)))),
% 4.56/4.73 inference(rewrite,[status(thm)],[])).
% 4.56/4.73 tff(6016,plain,
% 4.56/4.73 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p2, s0, s1)) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid) | (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid) | (~node34(c_p2, s0, s1))))),
% 4.56/4.73 inference(monotonicity,[status(thm)],[6015])).
% 4.56/4.73 tff(6017,plain,
% 4.56/4.73 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p2, s0, s1)) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid) | (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid) | (~node34(c_p2, s0, s1)))),
% 4.56/4.73 inference(transitivity,[status(thm)],[6016, 6014])).
% 4.56/4.73 tff(6018,plain,
% 4.56/4.73 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p2, s0, s1)) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid) | (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)))),
% 4.56/4.73 inference(quant_inst,[status(thm)],[])).
% 4.56/4.73 tff(6019,plain,
% 4.56/4.73 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_invalid) | (~node34(c_p2, s0, s1))),
% 4.56/4.73 inference(modus_ponens,[status(thm)],[6018, 6017])).
% 4.56/4.73 tff(6020,plain,
% 4.56/4.73 (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[6019, 1209, 6013, 5896, 6007, 5910])).
% 4.56/4.73 tff(6021,plain,
% 4.56/4.73 ((~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[5903, 1415, 6013, 5896, 6007, 5910])).
% 4.56/4.73 tff(6022,plain,
% 4.56/4.73 (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid)),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[6021, 6020])).
% 4.56/4.73 tff(6023,assumption,(~m_processor_v_state(c_p2, s1, c_shared)), introduced(assumption)).
% 4.56/4.73 tff(6024,plain,
% 4.56/4.73 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p2, s0, c_write_h_shared)) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p2, s0, c_write_h_shared)) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1)))),
% 4.56/4.73 inference(rewrite,[status(thm)],[])).
% 4.56/4.73 tff(6025,plain,
% 4.56/4.73 (((~node34(c_p2, s0, s1)) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p2, s0, c_write_h_shared))) <=> (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p2, s0, c_write_h_shared)) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1)))),
% 4.56/4.73 inference(rewrite,[status(thm)],[])).
% 4.56/4.73 tff(6026,plain,
% 4.56/4.73 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p2, s0, s1)) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p2, s0, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p2, s0, c_write_h_shared)) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1))))),
% 4.56/4.73 inference(monotonicity,[status(thm)],[6025])).
% 4.56/4.73 tff(6027,plain,
% 4.56/4.73 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p2, s0, s1)) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p2, s0, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p2, s0, c_write_h_shared)) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1)))),
% 4.56/4.74 inference(transitivity,[status(thm)],[6026, 6024])).
% 4.56/4.74 tff(6028,plain,
% 4.56/4.74 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p2, s0, s1)) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p2, s0, c_write_h_shared)))),
% 4.56/4.74 inference(quant_inst,[status(thm)],[])).
% 4.56/4.74 tff(6029,plain,
% 4.56/4.74 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p2, s0, c_write_h_shared)) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1))),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[6028, 6027])).
% 4.56/4.74 tff(6030,plain,
% 4.56/4.74 ((~m_processor_v_CMD(c_p2, s0, c_write_h_shared)) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6029, 1444, 6023, 5897, 5909, 5910])).
% 4.56/4.74 tff(6031,plain,
% 4.56/4.74 (~m_processor_v_CMD(c_p2, s0, c_write_h_shared)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6030, 5896, 5911])).
% 4.56/4.74 tff(6032,plain,
% 4.56/4.74 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1)))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(6033,plain,
% 4.56/4.74 (((~node34(c_p2, s0, s1)) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1)))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(6034,plain,
% 4.56/4.74 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p2, s0, s1)) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1))))),
% 4.56/4.74 inference(monotonicity,[status(thm)],[6033])).
% 4.56/4.74 tff(6035,plain,
% 4.56/4.74 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p2, s0, s1)) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1)))),
% 4.56/4.74 inference(transitivity,[status(thm)],[6034, 6032])).
% 4.56/4.74 tff(6036,plain,
% 4.56/4.74 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p2, s0, s1)) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)))),
% 4.56/4.74 inference(quant_inst,[status(thm)],[])).
% 4.56/4.74 tff(6037,plain,
% 4.56/4.74 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1))),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[6036, 6035])).
% 4.56/4.74 tff(6038,plain,
% 4.56/4.74 ((~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6037, 1486, 6023, 5897, 5909, 5910])).
% 4.56/4.74 tff(6039,plain,
% 4.56/4.74 (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6038, 6031, 5896, 5911])).
% 4.56/4.74 tff(6040,plain,
% 4.56/4.74 (m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | node33(c_p2, s0, s1)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[5950, 1265, 5897, 5909, 5910])).
% 4.56/4.74 tff(6041,plain,
% 4.56/4.74 ($false),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6040, 6039, 6031, 5908, 5911, 5896])).
% 4.56/4.74 tff(6042,plain,(m_processor_v_CMD(c_p2, s0, c_read_h_owned) | node33(c_p2, s0, s1) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | (~node34(c_p2, s0, s1)) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_state(c_p2, s1, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.56/4.74 tff(6043,plain,
% 4.56/4.74 (m_processor_v_state(c_p2, s1, c_shared)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6042, 6022, 5896, 6007, 6020, 5910, 6005])).
% 4.56/4.74 tff(6044,plain,
% 4.56/4.74 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s1, c_owned)) | (~m_processor_v_state(c_p2, s1, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~m_processor_v_state(c_p2, s1, c_shared)))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(6045,plain,
% 4.56/4.74 (((~m_processor_v_state(c_p2, s1, c_shared)) | (~m_processor_v_state(c_p2, s1, c_owned))) <=> ((~m_processor_v_state(c_p2, s1, c_owned)) | (~m_processor_v_state(c_p2, s1, c_shared)))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(6046,plain,
% 4.56/4.74 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s1, c_shared)) | (~m_processor_v_state(c_p2, s1, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s1, c_owned)) | (~m_processor_v_state(c_p2, s1, c_shared))))),
% 4.56/4.74 inference(monotonicity,[status(thm)],[6045])).
% 4.56/4.74 tff(6047,plain,
% 4.56/4.74 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s1, c_shared)) | (~m_processor_v_state(c_p2, s1, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~m_processor_v_state(c_p2, s1, c_shared)))),
% 4.56/4.74 inference(transitivity,[status(thm)],[6046, 6044])).
% 4.56/4.74 tff(6048,plain,
% 4.56/4.74 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s1, c_shared)) | (~m_processor_v_state(c_p2, s1, c_owned)))),
% 4.56/4.74 inference(quant_inst,[status(thm)],[])).
% 4.56/4.74 tff(6049,plain,
% 4.56/4.74 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~m_processor_v_state(c_p2, s1, c_shared))),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[6048, 6047])).
% 4.56/4.74 tff(6050,plain,
% 4.56/4.74 ($false),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6049, 1373, 6043, 5535])).
% 4.56/4.74 tff(6051,plain,((~m_processor_v_state(c_p2, s1, c_owned)) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_abort(c_p2, s0)), inference(lemma,lemma(discharge,[]))).
% 4.56/4.74 tff(6052,plain,
% 4.56/4.74 (m_processor_v_CMD(c_p2, s0, c_read_h_shared)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6051, 5999, 5535, 5896])).
% 4.56/4.74 tff(6053,plain,
% 4.56/4.74 (m_processor_v_master(c_p2, s0)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[5622, 5999, 5597])).
% 4.56/4.74 tff(6054,plain,
% 4.56/4.74 (node34(c_p2, s0, s1)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[5756, 6053, 5999])).
% 4.56/4.74 tff(6055,plain,
% 4.56/4.74 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1)))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(6056,plain,
% 4.56/4.74 (((~node34(c_p2, s0, s1)) | m_processor_v_state(c_p2, s1, c_shared) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared))) <=> ((~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1)))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(6057,plain,
% 4.56/4.74 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p2, s0, s1)) | m_processor_v_state(c_p2, s1, c_shared) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1))))),
% 4.56/4.74 inference(monotonicity,[status(thm)],[6056])).
% 4.56/4.74 tff(6058,plain,
% 4.56/4.74 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p2, s0, s1)) | m_processor_v_state(c_p2, s1, c_shared) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1)))),
% 4.56/4.74 inference(transitivity,[status(thm)],[6057, 6055])).
% 4.56/4.74 tff(6059,plain,
% 4.56/4.74 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p2, s0, s1)) | m_processor_v_state(c_p2, s1, c_shared) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)))),
% 4.56/4.74 inference(quant_inst,[status(thm)],[])).
% 4.56/4.74 tff(6060,plain,
% 4.56/4.74 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1))),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[6059, 6058])).
% 4.56/4.74 tff(6061,plain,
% 4.56/4.74 ($false),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6060, 1393, 6023, 6054, 6052])).
% 4.56/4.74 tff(6062,plain,((~m_processor_v_state(c_p2, s1, c_owned)) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 4.56/4.74 tff(6063,plain,
% 4.56/4.74 ((~m_processor_v_state(c_p2, s1, c_owned)) | m_processor_v_CMD(c_p2, s0, c_read_h_owned)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6062, 5998])).
% 4.56/4.74 tff(6064,plain,
% 4.56/4.74 (~m_processor_v_state(c_p2, s1, c_owned)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6063, 5712])).
% 4.56/4.74 tff(6065,plain,
% 4.56/4.74 (~node57(c_p2, s1)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[5532, 6064])).
% 4.56/4.74 tff(6066,plain,
% 4.56/4.74 (~m_processor_v_reply_h_owned(c_p2, s1)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[5524, 6065])).
% 4.56/4.74 tff(6067,plain,
% 4.56/4.74 (~m_main_v_REPLY_h_OWNED(s1)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[5516, 6066, 4952])).
% 4.56/4.74 tff(6068,plain,
% 4.56/4.74 (~m_memory_v_REPLY_h_OWNED(c_m, s1)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[5503, 6067])).
% 4.56/4.74 tff(6069,plain,
% 4.56/4.74 (~node28(c_m, s1)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[5495, 6068])).
% 4.56/4.74 tff(6070,plain,
% 4.56/4.74 (~m_memory_v_abort(c_m, s1)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[5476, 6069, 5682, 5680])).
% 4.56/4.74 tff(6071,plain,
% 4.56/4.74 (m_memory_v_busy(c_m, s2)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[5268, 6070, 5679, 5677, 5672])).
% 4.56/4.74 tff(6072,plain,
% 4.56/4.74 ($false),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[5251, 4790, 6071, 5666, 5661])).
% 4.56/4.74 tff(6073,plain,(m_memory_v_busy(c_m, s1) | m_processor_v_state(c_p1, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.56/4.74 tff(6074,plain,
% 4.56/4.74 (m_memory_v_busy(c_m, s1)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6073, 3])).
% 4.56/4.74 tff(6075,plain,
% 4.56/4.74 (~node56(c_p0, s2)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[3172, 2221])).
% 4.56/4.74 tff(6076,plain,
% 4.56/4.74 (~m_processor_v_writable(c_p0, s2)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[3165, 6075])).
% 4.56/4.74 tff(6077,plain,
% 4.56/4.74 (~node67(s2)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[3157, 6076])).
% 4.56/4.74 tff(6078,plain,
% 4.56/4.74 (node67(s4)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[3146, 4161, 6077])).
% 4.56/4.74 tff(6079,assumption,(~m_processor_v_writable(c_p0, s4)), introduced(assumption)).
% 4.56/4.74 tff(6080,plain,
% 4.56/4.74 ($false),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[2813, 2285, 4164, 6079])).
% 4.56/4.74 tff(6081,plain,((~node67(s4)) | m_processor_v_writable(c_p0, s4)), inference(lemma,lemma(discharge,[]))).
% 4.56/4.74 tff(6082,plain,
% 4.56/4.74 (m_processor_v_writable(c_p0, s4)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6081, 6078])).
% 4.56/4.74 tff(6083,plain,
% 4.56/4.74 (node56(c_p0, s4)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[2809, 6082])).
% 4.56/4.74 tff(6084,plain,
% 4.56/4.74 (~m_processor_v_waiting(c_p0, s4)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[2737, 2734, 6083])).
% 4.56/4.74 tff(6085,assumption,(node46(c_p0, s3, s4)), introduced(assumption)).
% 4.56/4.74 tff(6086,assumption,(~m_processor_v_waiting(c_p0, s4)), introduced(assumption)).
% 4.56/4.74 tff(6087,plain,
% 4.56/4.74 (^[Y: $i, I0: $i, X: $i] : refl((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y))))),
% 4.56/4.74 inference(bind,[status(th)],[])).
% 4.56/4.74 tff(6088,plain,
% 4.56/4.74 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))),
% 4.56/4.74 inference(quant_intro,[status(thm)],[6087])).
% 4.56/4.74 tff(6089,plain,
% 4.56/4.74 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(6090,plain,
% 4.56/4.74 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)))), (((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node46(I0, X, Y))) <=> ((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node46(I0, X, Y))))), rewrite(((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node46(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))), (((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node46(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))))),
% 4.56/4.74 inference(bind,[status(th)],[])).
% 4.56/4.74 tff(6091,plain,
% 4.56/4.74 (![Y: $i, I0: $i, X: $i] : ((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node46(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))),
% 4.56/4.74 inference(quant_intro,[status(thm)],[6090])).
% 4.56/4.74 tff(6092,axiom,(![Y: $i, I0: $i, X: $i] : ((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node46(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_94')).
% 4.56/4.74 tff(6093,plain,
% 4.56/4.74 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[6092, 6091])).
% 4.56/4.74 tff(6094,plain,
% 4.56/4.74 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[6093, 6089])).
% 4.56/4.74 tff(6095,plain,(
% 4.56/4.74 ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))),
% 4.56/4.74 inference(skolemize,[status(sab)],[6094])).
% 4.56/4.74 tff(6096,plain,
% 4.56/4.74 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[6095, 6088])).
% 4.56/4.74 tff(6097,plain,
% 4.56/4.74 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node46(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node46(c_p0, s3, s4)))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(6098,plain,
% 4.56/4.74 ((m_processor_v_waiting(c_p0, s4) | (~m_processor_v_waiting(c_p0, s3)) | (~node46(c_p0, s3, s4))) <=> ((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node46(c_p0, s3, s4)))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(6099,plain,
% 4.56/4.74 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_waiting(c_p0, s3)) | (~node46(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node46(c_p0, s3, s4))))),
% 4.56/4.74 inference(monotonicity,[status(thm)],[6098])).
% 4.56/4.74 tff(6100,plain,
% 4.56/4.74 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_waiting(c_p0, s3)) | (~node46(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node46(c_p0, s3, s4)))),
% 4.56/4.74 inference(transitivity,[status(thm)],[6099, 6097])).
% 4.56/4.74 tff(6101,plain,
% 4.56/4.74 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_waiting(c_p0, s3)) | (~node46(c_p0, s3, s4)))),
% 4.56/4.74 inference(quant_inst,[status(thm)],[])).
% 4.56/4.74 tff(6102,plain,
% 4.56/4.74 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node46(c_p0, s3, s4))),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[6101, 6100])).
% 4.56/4.74 tff(6103,plain,
% 4.56/4.74 ($false),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6102, 6096, 4153, 6086, 6085])).
% 4.56/4.74 tff(6104,plain,((~node46(c_p0, s3, s4)) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4)), inference(lemma,lemma(discharge,[]))).
% 4.56/4.74 tff(6105,plain,
% 4.56/4.74 (~node46(c_p0, s3, s4)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6104, 4152, 6084])).
% 4.56/4.74 tff(6106,plain,
% 4.56/4.74 (^[Y: $i, I0: $i, X: $i] : refl(((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y))) <=> ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y))))),
% 4.56/4.74 inference(bind,[status(th)],[])).
% 4.56/4.74 tff(6107,plain,
% 4.56/4.74 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))),
% 4.56/4.74 inference(quant_intro,[status(thm)],[6106])).
% 4.56/4.74 tff(6108,plain,
% 4.56/4.74 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(6109,plain,
% 4.56/4.74 (^[Y: $i, I0: $i, X: $i] : rewrite((((~m_processor_v_abort(I0, X)) | node46(I0, X, Y)) | (~node53(I0, X, Y))) <=> ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y))))),
% 4.56/4.74 inference(bind,[status(th)],[])).
% 4.56/4.74 tff(6110,plain,
% 4.56/4.74 (![Y: $i, I0: $i, X: $i] : (((~m_processor_v_abort(I0, X)) | node46(I0, X, Y)) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))),
% 4.56/4.74 inference(quant_intro,[status(thm)],[6109])).
% 4.56/4.74 tff(6111,axiom,(![Y: $i, I0: $i, X: $i] : (((~m_processor_v_abort(I0, X)) | node46(I0, X, Y)) | (~node53(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_108')).
% 4.56/4.74 tff(6112,plain,
% 4.56/4.74 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[6111, 6110])).
% 4.56/4.74 tff(6113,plain,
% 4.56/4.74 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[6112, 6108])).
% 4.56/4.74 tff(6114,plain,(
% 4.56/4.74 ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))),
% 4.56/4.74 inference(skolemize,[status(sab)],[6113])).
% 4.56/4.74 tff(6115,plain,
% 4.56/4.74 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[6114, 6107])).
% 4.56/4.74 tff(6116,plain,
% 4.56/4.74 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s3)) | (~node53(c_p0, s3, s4)) | node46(c_p0, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s3)) | (~node53(c_p0, s3, s4)) | node46(c_p0, s3, s4))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(6117,plain,
% 4.56/4.74 (((~m_processor_v_abort(c_p0, s3)) | node46(c_p0, s3, s4) | (~node53(c_p0, s3, s4))) <=> ((~m_processor_v_abort(c_p0, s3)) | (~node53(c_p0, s3, s4)) | node46(c_p0, s3, s4))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(6118,plain,
% 4.56/4.74 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s3)) | node46(c_p0, s3, s4) | (~node53(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s3)) | (~node53(c_p0, s3, s4)) | node46(c_p0, s3, s4)))),
% 4.56/4.74 inference(monotonicity,[status(thm)],[6117])).
% 4.56/4.74 tff(6119,plain,
% 4.56/4.74 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s3)) | node46(c_p0, s3, s4) | (~node53(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s3)) | (~node53(c_p0, s3, s4)) | node46(c_p0, s3, s4))),
% 4.56/4.74 inference(transitivity,[status(thm)],[6118, 6116])).
% 4.56/4.74 tff(6120,plain,
% 4.56/4.74 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s3)) | node46(c_p0, s3, s4) | (~node53(c_p0, s3, s4)))),
% 4.56/4.74 inference(quant_inst,[status(thm)],[])).
% 4.56/4.74 tff(6121,plain,
% 4.56/4.74 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s3)) | (~node53(c_p0, s3, s4)) | node46(c_p0, s3, s4)),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[6120, 6119])).
% 4.56/4.74 tff(6122,plain,
% 4.56/4.74 ((~m_processor_v_abort(c_p0, s3)) | node46(c_p0, s3, s4)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6121, 6115, 2751])).
% 4.56/4.74 tff(6123,plain,
% 4.56/4.74 (~m_processor_v_abort(c_p0, s3)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6122, 6105])).
% 4.56/4.74 tff(6124,plain,
% 4.56/4.74 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s3) | node60(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s3) | node60(c_p0, s3))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(6125,plain,
% 4.56/4.74 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s3) | node60(c_p0, s3))),
% 4.56/4.74 inference(quant_inst,[status(thm)],[])).
% 4.56/4.74 tff(6126,plain,
% 4.56/4.74 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s3) | node60(c_p0, s3)),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[6125, 6124])).
% 4.56/4.74 tff(6127,plain,
% 4.56/4.74 (node60(c_p0, s3)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6126, 491, 6123])).
% 4.56/4.74 tff(6128,plain,
% 4.56/4.74 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s3)) | (~node60(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s3)) | (~node60(c_p0, s3)))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(6129,plain,
% 4.56/4.74 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s3)) | (~node60(c_p0, s3)))),
% 4.56/4.74 inference(quant_inst,[status(thm)],[])).
% 4.56/4.74 tff(6130,plain,
% 4.56/4.74 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s3)) | (~node60(c_p0, s3))),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[6129, 6128])).
% 4.56/4.74 tff(6131,plain,
% 4.56/4.74 (~m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6130, 538, 6127])).
% 4.56/4.74 tff(6132,plain,
% 4.56/4.74 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p0, s3))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p0, s3))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(6133,plain,
% 4.56/4.74 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p0, s3))),
% 4.56/4.74 inference(quant_inst,[status(thm)],[])).
% 4.56/4.74 tff(6134,plain,
% 4.56/4.74 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[6133, 6132])).
% 4.56/4.74 tff(6135,plain,
% 4.56/4.74 (~m_main_v_REPLY_h_STALL(s3)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6134, 555, 6131])).
% 4.56/4.74 tff(6136,assumption,(~m_main_v_REPLY_h_STALL(s3)), introduced(assumption)).
% 4.56/4.74 tff(6137,assumption,(m_processor_v_REPLY_h_STALL(c_p1, s3)), introduced(assumption)).
% 4.56/4.74 tff(6138,plain,
% 4.56/4.74 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s3) | (~m_processor_v_REPLY_h_STALL(c_p1, s3)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s3) | (~m_processor_v_REPLY_h_STALL(c_p1, s3)))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(6139,plain,
% 4.56/4.74 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s3) | (~m_processor_v_REPLY_h_STALL(c_p1, s3)))),
% 4.56/4.74 inference(quant_inst,[status(thm)],[])).
% 4.56/4.74 tff(6140,plain,
% 4.56/4.74 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s3) | (~m_processor_v_REPLY_h_STALL(c_p1, s3))),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[6139, 6138])).
% 4.56/4.74 tff(6141,plain,
% 4.56/4.74 ($false),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6140, 4654, 6137, 6136])).
% 4.56/4.74 tff(6142,plain,((~m_processor_v_REPLY_h_STALL(c_p1, s3)) | m_main_v_REPLY_h_STALL(s3)), inference(lemma,lemma(discharge,[]))).
% 4.56/4.74 tff(6143,plain,
% 4.56/4.74 (~m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[6142, 6135])).
% 4.56/4.74 tff(6144,assumption,(node52(c_p0, s3, s4)), introduced(assumption)).
% 4.56/4.74 tff(6145,plain,
% 4.56/4.74 (^[Y: $i, I0: $i, X: $i] : refl((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y))))),
% 4.56/4.74 inference(bind,[status(th)],[])).
% 4.56/4.74 tff(6146,plain,
% 4.56/4.74 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))),
% 4.56/4.74 inference(quant_intro,[status(thm)],[6145])).
% 4.56/4.74 tff(6147,plain,
% 4.56/4.74 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(6148,plain,
% 4.56/4.74 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)))), (((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node52(I0, X, Y))) <=> ((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node52(I0, X, Y))))), rewrite(((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node52(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))), (((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node52(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))))),
% 4.56/4.74 inference(bind,[status(th)],[])).
% 4.56/4.74 tff(6149,plain,
% 4.56/4.74 (![Y: $i, I0: $i, X: $i] : ((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node52(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))),
% 4.56/4.74 inference(quant_intro,[status(thm)],[6148])).
% 4.56/4.74 tff(6150,axiom,(![Y: $i, I0: $i, X: $i] : ((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node52(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_106')).
% 4.56/4.74 tff(6151,plain,
% 4.56/4.74 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[6150, 6149])).
% 4.56/4.74 tff(6152,plain,
% 4.56/4.74 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[6151, 6147])).
% 4.56/4.74 tff(6153,plain,(
% 4.56/4.74 ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))),
% 4.56/4.74 inference(skolemize,[status(sab)],[6152])).
% 4.56/4.75 tff(6154,plain,
% 4.56/4.75 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))),
% 4.56/4.75 inference(modus_ponens,[status(thm)],[6153, 6146])).
% 4.56/4.75 tff(6155,plain,
% 4.56/4.75 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node52(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node52(c_p0, s3, s4)))),
% 4.56/4.75 inference(rewrite,[status(thm)],[])).
% 4.56/4.75 tff(6156,plain,
% 4.56/4.75 ((m_processor_v_waiting(c_p0, s4) | (~m_processor_v_waiting(c_p0, s3)) | (~node52(c_p0, s3, s4))) <=> ((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node52(c_p0, s3, s4)))),
% 4.56/4.75 inference(rewrite,[status(thm)],[])).
% 4.56/4.75 tff(6157,plain,
% 4.56/4.75 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_waiting(c_p0, s3)) | (~node52(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node52(c_p0, s3, s4))))),
% 4.56/4.75 inference(monotonicity,[status(thm)],[6156])).
% 4.56/4.75 tff(6158,plain,
% 4.56/4.75 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_waiting(c_p0, s3)) | (~node52(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node52(c_p0, s3, s4)))),
% 4.56/4.75 inference(transitivity,[status(thm)],[6157, 6155])).
% 4.56/4.75 tff(6159,plain,
% 4.56/4.75 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_waiting(c_p0, s3)) | (~node52(c_p0, s3, s4)))),
% 4.56/4.75 inference(quant_inst,[status(thm)],[])).
% 4.56/4.75 tff(6160,plain,
% 4.56/4.75 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node52(c_p0, s3, s4))),
% 4.56/4.75 inference(modus_ponens,[status(thm)],[6159, 6158])).
% 4.56/4.75 tff(6161,plain,
% 4.56/4.75 ($false),
% 4.56/4.75 inference(unit_resolution,[status(thm)],[6160, 6154, 4153, 6086, 6144])).
% 4.56/4.75 tff(6162,plain,((~node52(c_p0, s3, s4)) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4)), inference(lemma,lemma(discharge,[]))).
% 4.56/4.75 tff(6163,plain,
% 4.56/4.75 (~node52(c_p0, s3, s4)),
% 4.56/4.75 inference(unit_resolution,[status(thm)],[6162, 4152, 6084])).
% 4.56/4.75 tff(6164,plain,
% 4.56/4.75 (^[I0: $i, X: $i] : refl(((~m_processor_v_master(I0, X)) | (~node50(I0, X))) <=> ((~m_processor_v_master(I0, X)) | (~node50(I0, X))))),
% 4.56/4.75 inference(bind,[status(th)],[])).
% 4.56/4.75 tff(6165,plain,
% 4.56/4.75 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))),
% 4.56/4.75 inference(quant_intro,[status(thm)],[6164])).
% 4.56/4.75 tff(6166,plain,
% 4.56/4.75 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))),
% 4.56/4.75 inference(rewrite,[status(thm)],[])).
% 4.56/4.75 tff(6167,axiom,(![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_102')).
% 4.56/4.75 tff(6168,plain,
% 4.56/4.75 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))),
% 4.56/4.75 inference(modus_ponens,[status(thm)],[6167, 6166])).
% 4.56/4.75 tff(6169,plain,(
% 4.56/4.75 ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))),
% 4.56/4.75 inference(skolemize,[status(sab)],[6168])).
% 4.56/4.75 tff(6170,plain,
% 4.56/4.75 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))),
% 4.56/4.75 inference(modus_ponens,[status(thm)],[6169, 6165])).
% 4.56/4.75 tff(6171,plain,
% 4.56/4.75 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~node50(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p0, s3)) | (~node50(c_p0, s3)))),
% 4.56/4.75 inference(rewrite,[status(thm)],[])).
% 4.56/4.75 tff(6172,plain,
% 4.56/4.75 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~node50(c_p0, s3)))),
% 4.56/4.75 inference(quant_inst,[status(thm)],[])).
% 4.56/4.75 tff(6173,plain,
% 4.56/4.75 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p0, s3)) | (~node50(c_p0, s3))),
% 4.56/4.75 inference(modus_ponens,[status(thm)],[6172, 6171])).
% 4.56/4.75 tff(6174,plain,
% 4.56/4.75 (~node50(c_p0, s3)),
% 4.56/4.75 inference(unit_resolution,[status(thm)],[6173, 6170, 2539])).
% 4.56/4.75 tff(6175,plain,
% 4.56/4.75 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 4.56/4.75 inference(unit_resolution,[status(thm)],[2788, 2539, 6086, 2368])).
% 4.56/4.75 tff(6176,plain,
% 4.56/4.75 (~node47(c_p0, s3)),
% 4.56/4.75 inference(unit_resolution,[status(thm)],[2799, 2796, 6175])).
% 4.56/4.75 tff(6177,plain,
% 4.56/4.75 (^[I0: $i, X: $i] : refl(((~m_processor_v_master(I0, X)) | (~node51(I0, X))) <=> ((~m_processor_v_master(I0, X)) | (~node51(I0, X))))),
% 4.56/4.75 inference(bind,[status(th)],[])).
% 4.56/4.75 tff(6178,plain,
% 4.56/4.75 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))),
% 4.56/4.75 inference(quant_intro,[status(thm)],[6177])).
% 4.56/4.75 tff(6179,plain,
% 4.56/4.75 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))),
% 4.56/4.75 inference(rewrite,[status(thm)],[])).
% 4.56/4.75 tff(6180,axiom,(![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_104')).
% 4.56/4.75 tff(6181,plain,
% 4.56/4.75 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))),
% 4.56/4.75 inference(modus_ponens,[status(thm)],[6180, 6179])).
% 4.56/4.75 tff(6182,plain,(
% 4.56/4.75 ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))),
% 4.56/4.75 inference(skolemize,[status(sab)],[6181])).
% 4.56/4.75 tff(6183,plain,
% 4.56/4.75 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))),
% 4.56/4.75 inference(modus_ponens,[status(thm)],[6182, 6178])).
% 4.56/4.75 tff(6184,plain,
% 4.56/4.75 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~node51(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p0, s3)) | (~node51(c_p0, s3)))),
% 4.56/4.75 inference(rewrite,[status(thm)],[])).
% 4.56/4.75 tff(6185,plain,
% 4.56/4.75 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~node51(c_p0, s3)))),
% 4.56/4.75 inference(quant_inst,[status(thm)],[])).
% 4.56/4.75 tff(6186,plain,
% 4.56/4.75 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p0, s3)) | (~node51(c_p0, s3))),
% 4.56/4.75 inference(modus_ponens,[status(thm)],[6185, 6184])).
% 4.56/4.75 tff(6187,plain,
% 4.56/4.75 (~node51(c_p0, s3)),
% 4.56/4.75 inference(unit_resolution,[status(thm)],[6186, 6183, 2539])).
% 4.56/4.75 tff(6188,assumption,(~node52(c_p0, s3, s4)), introduced(assumption)).
% 4.56/4.75 tff(6189,plain,
% 4.56/4.75 (^[I0: $i, X: $i] : refl(((~m_processor_v_master(I0, X)) | (~node49(I0, X))) <=> ((~m_processor_v_master(I0, X)) | (~node49(I0, X))))),
% 4.56/4.75 inference(bind,[status(th)],[])).
% 4.56/4.75 tff(6190,plain,
% 4.56/4.75 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))),
% 4.56/4.75 inference(quant_intro,[status(thm)],[6189])).
% 4.56/4.75 tff(6191,plain,
% 4.56/4.75 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))),
% 4.56/4.75 inference(rewrite,[status(thm)],[])).
% 4.56/4.75 tff(6192,axiom,(![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_100')).
% 4.56/4.75 tff(6193,plain,
% 4.56/4.75 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))),
% 4.56/4.75 inference(modus_ponens,[status(thm)],[6192, 6191])).
% 4.56/4.75 tff(6194,plain,(
% 4.56/4.75 ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))),
% 4.56/4.75 inference(skolemize,[status(sab)],[6193])).
% 4.56/4.75 tff(6195,plain,
% 4.56/4.75 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))),
% 4.56/4.75 inference(modus_ponens,[status(thm)],[6194, 6190])).
% 4.56/4.75 tff(6196,plain,
% 4.56/4.75 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~node49(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p0, s3)) | (~node49(c_p0, s3)))),
% 4.56/4.75 inference(rewrite,[status(thm)],[])).
% 4.56/4.75 tff(6197,plain,
% 4.56/4.75 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~node49(c_p0, s3)))),
% 4.56/4.75 inference(quant_inst,[status(thm)],[])).
% 4.56/4.75 tff(6198,plain,
% 4.56/4.75 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p0, s3)) | (~node49(c_p0, s3))),
% 4.56/4.75 inference(modus_ponens,[status(thm)],[6197, 6196])).
% 4.56/4.75 tff(6199,plain,
% 4.56/4.75 (~node49(c_p0, s3)),
% 4.56/4.75 inference(unit_resolution,[status(thm)],[6198, 6195, 2539])).
% 4.56/4.75 tff(6200,plain,
% 4.56/4.75 (^[Y: $i, I0: $i, X: $i] : refl((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y))) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y))))),
% 4.56/4.75 inference(bind,[status(th)],[])).
% 4.56/4.75 tff(6201,plain,
% 4.56/4.75 (![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))),
% 4.56/4.75 inference(quant_intro,[status(thm)],[6200])).
% 4.56/4.75 tff(6202,plain,
% 4.56/4.75 (![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))),
% 4.56/4.75 inference(rewrite,[status(thm)],[])).
% 4.56/4.75 tff(6203,plain,
% 4.56/4.75 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X))), ((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) <=> ((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X)) | node49(I0, X)))), rewrite(((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X)) | node49(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X))), ((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X)))), (((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) <=> ((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X)) | node50(I0, X)))), rewrite(((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X)) | node50(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X))), (((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X)))), ((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | node51(I0, X)) <=> ((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X)) | node51(I0, X)))), rewrite(((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X)) | node51(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X))), ((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | node51(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X)))), (((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | node51(I0, X)) | node52(I0, X, Y)) <=> ((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X)) | node52(I0, X, Y)))), rewrite(((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X)) | node52(I0, X, Y)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y))), (((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | node51(I0, X)) | node52(I0, X, Y)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y)))), ((((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | node51(I0, X)) | node52(I0, X, Y)) | (~node53(I0, X, Y))) <=> ((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y)) | (~node53(I0, X, Y))))), rewrite(((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y)) | (~node53(I0, X, Y))) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))), ((((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | node51(I0, X)) | node52(I0, X, Y)) | (~node53(I0, X, Y))) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))))),
% 4.56/4.75 inference(bind,[status(th)],[])).
% 4.56/4.75 tff(6204,plain,
% 4.56/4.75 (![Y: $i, I0: $i, X: $i] : (((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | node51(I0, X)) | node52(I0, X, Y)) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))),
% 4.56/4.75 inference(quant_intro,[status(thm)],[6203])).
% 4.56/4.75 tff(6205,axiom,(![Y: $i, I0: $i, X: $i] : (((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | node51(I0, X)) | node52(I0, X, Y)) | (~node53(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_114')).
% 4.56/4.75 tff(6206,plain,
% 4.56/4.75 (![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))),
% 4.56/4.75 inference(modus_ponens,[status(thm)],[6205, 6204])).
% 4.56/4.75 tff(6207,plain,
% 4.56/4.75 (![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))),
% 4.56/4.75 inference(modus_ponens,[status(thm)],[6206, 6202])).
% 4.56/4.75 tff(6208,plain,(
% 4.56/4.75 ![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))),
% 4.56/4.75 inference(skolemize,[status(sab)],[6207])).
% 4.56/4.75 tff(6209,plain,
% 4.56/4.75 (![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))),
% 4.56/4.75 inference(modus_ponens,[status(thm)],[6208, 6201])).
% 4.56/4.75 tff(6210,plain,
% 4.56/4.75 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s3) | node48(c_p0, s3) | node47(c_p0, s3) | node51(c_p0, s3) | node50(c_p0, s3) | node49(c_p0, s3) | (~node53(c_p0, s3, s4)) | node52(c_p0, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s3) | node48(c_p0, s3) | node47(c_p0, s3) | node51(c_p0, s3) | node50(c_p0, s3) | node49(c_p0, s3) | (~node53(c_p0, s3, s4)) | node52(c_p0, s3, s4))),
% 4.56/4.75 inference(rewrite,[status(thm)],[])).
% 4.56/4.75 tff(6211,plain,
% 4.56/4.75 ((m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | node48(c_p0, s3) | node49(c_p0, s3) | node50(c_p0, s3) | node51(c_p0, s3) | node52(c_p0, s3, s4) | (~node53(c_p0, s3, s4))) <=> (m_processor_v_abort(c_p0, s3) | node48(c_p0, s3) | node47(c_p0, s3) | node51(c_p0, s3) | node50(c_p0, s3) | node49(c_p0, s3) | (~node53(c_p0, s3, s4)) | node52(c_p0, s3, s4))),
% 4.56/4.75 inference(rewrite,[status(thm)],[])).
% 4.56/4.75 tff(6212,plain,
% 4.56/4.75 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | node48(c_p0, s3) | node49(c_p0, s3) | node50(c_p0, s3) | node51(c_p0, s3) | node52(c_p0, s3, s4) | (~node53(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s3) | node48(c_p0, s3) | node47(c_p0, s3) | node51(c_p0, s3) | node50(c_p0, s3) | node49(c_p0, s3) | (~node53(c_p0, s3, s4)) | node52(c_p0, s3, s4)))),
% 4.56/4.75 inference(monotonicity,[status(thm)],[6211])).
% 4.56/4.75 tff(6213,plain,
% 4.56/4.75 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | node48(c_p0, s3) | node49(c_p0, s3) | node50(c_p0, s3) | node51(c_p0, s3) | node52(c_p0, s3, s4) | (~node53(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s3) | node48(c_p0, s3) | node47(c_p0, s3) | node51(c_p0, s3) | node50(c_p0, s3) | node49(c_p0, s3) | (~node53(c_p0, s3, s4)) | node52(c_p0, s3, s4))),
% 4.56/4.75 inference(transitivity,[status(thm)],[6212, 6210])).
% 4.56/4.75 tff(6214,plain,
% 4.56/4.75 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | node48(c_p0, s3) | node49(c_p0, s3) | node50(c_p0, s3) | node51(c_p0, s3) | node52(c_p0, s3, s4) | (~node53(c_p0, s3, s4)))),
% 4.56/4.75 inference(quant_inst,[status(thm)],[])).
% 4.56/4.75 tff(6215,plain,
% 4.56/4.75 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s3) | node48(c_p0, s3) | node47(c_p0, s3) | node51(c_p0, s3) | node50(c_p0, s3) | node49(c_p0, s3) | (~node53(c_p0, s3, s4)) | node52(c_p0, s3, s4)),
% 4.56/4.75 inference(modus_ponens,[status(thm)],[6214, 6213])).
% 4.56/4.75 tff(6216,plain,
% 4.56/4.75 (m_processor_v_abort(c_p0, s3) | node48(c_p0, s3) | node47(c_p0, s3) | node51(c_p0, s3) | node50(c_p0, s3) | node49(c_p0, s3) | node52(c_p0, s3, s4)),
% 4.56/4.75 inference(unit_resolution,[status(thm)],[6215, 6209, 2751])).
% 4.56/4.75 tff(6217,plain,
% 4.56/4.75 (node48(c_p0, s3)),
% 4.56/4.75 inference(unit_resolution,[status(thm)],[6216, 6199, 6188, 2368, 6187, 6176, 6174])).
% 4.56/4.75 tff(6218,plain,
% 4.59/4.75 ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | m_processor_v_waiting(c_p0, s4)),
% 4.59/4.75 inference(unit_resolution,[status(thm)],[2770, 2751])).
% 4.59/4.75 tff(6219,plain,
% 4.59/4.75 (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 4.59/4.75 inference(unit_resolution,[status(thm)],[6218, 6176, 2539, 2368, 6086])).
% 4.59/4.75 tff(6220,plain,
% 4.59/4.75 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X))) <=> (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X))))),
% 4.59/4.75 inference(bind,[status(th)],[])).
% 4.59/4.75 tff(6221,plain,
% 4.59/4.75 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))),
% 4.59/4.75 inference(quant_intro,[status(thm)],[6220])).
% 4.59/4.75 tff(6222,plain,
% 4.59/4.75 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))),
% 4.59/4.75 inference(rewrite,[status(thm)],[])).
% 4.59/4.75 tff(6223,axiom,(![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_99')).
% 4.59/4.75 tff(6224,plain,
% 4.59/4.75 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))),
% 4.59/4.75 inference(modus_ponens,[status(thm)],[6223, 6222])).
% 4.59/4.75 tff(6225,plain,(
% 4.59/4.75 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))),
% 4.59/4.75 inference(skolemize,[status(sab)],[6224])).
% 4.59/4.75 tff(6226,plain,
% 4.59/4.75 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))),
% 4.59/4.75 inference(modus_ponens,[status(thm)],[6225, 6221])).
% 4.59/4.75 tff(6227,plain,
% 4.59/4.75 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node48(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node48(c_p0, s3)))),
% 4.59/4.75 inference(rewrite,[status(thm)],[])).
% 4.59/4.75 tff(6228,plain,
% 4.59/4.75 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node48(c_p0, s3)))),
% 4.59/4.75 inference(quant_inst,[status(thm)],[])).
% 4.59/4.75 tff(6229,plain,
% 4.59/4.75 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node48(c_p0, s3))),
% 4.59/4.75 inference(modus_ponens,[status(thm)],[6228, 6227])).
% 4.59/4.75 tff(6230,plain,
% 4.59/4.75 ($false),
% 4.59/4.75 inference(unit_resolution,[status(thm)],[6229, 6226, 6219, 6217])).
% 4.59/4.75 tff(6231,plain,((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | node52(c_p0, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.75 tff(6232,plain,
% 4.59/4.75 (~m_processor_v_master(c_p0, s3)),
% 4.59/4.75 inference(unit_resolution,[status(thm)],[6231, 6123, 6084, 6163])).
% 4.59/4.75 tff(6233,plain,
% 4.59/4.75 (^[I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~node47(I0, X))) <=> (m_processor_v_master(I0, X) | (~node47(I0, X))))),
% 4.59/4.75 inference(bind,[status(th)],[])).
% 4.59/4.75 tff(6234,plain,
% 4.59/4.75 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))),
% 4.59/4.75 inference(quant_intro,[status(thm)],[6233])).
% 4.59/4.75 tff(6235,plain,
% 4.59/4.75 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))),
% 4.59/4.75 inference(rewrite,[status(thm)],[])).
% 4.59/4.75 tff(6236,axiom,(![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_96')).
% 4.59/4.75 tff(6237,plain,
% 4.59/4.75 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))),
% 4.59/4.75 inference(modus_ponens,[status(thm)],[6236, 6235])).
% 4.59/4.75 tff(6238,plain,(
% 4.59/4.75 ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))),
% 4.59/4.75 inference(skolemize,[status(sab)],[6237])).
% 4.59/4.75 tff(6239,plain,
% 4.59/4.75 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))),
% 4.59/4.75 inference(modus_ponens,[status(thm)],[6238, 6234])).
% 4.59/4.75 tff(6240,plain,
% 4.59/4.75 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node47(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node47(c_p0, s3)))),
% 4.59/4.75 inference(rewrite,[status(thm)],[])).
% 4.59/4.75 tff(6241,plain,
% 4.59/4.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node47(c_p0, s3)))),
% 4.59/4.75 inference(quant_inst,[status(thm)],[])).
% 4.59/4.75 tff(6242,plain,
% 4.59/4.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node47(c_p0, s3))),
% 4.59/4.75 inference(modus_ponens,[status(thm)],[6241, 6240])).
% 4.59/4.75 tff(6243,plain,
% 4.59/4.75 (~node47(c_p0, s3)),
% 4.59/4.75 inference(unit_resolution,[status(thm)],[6242, 6239, 6232])).
% 4.59/4.75 tff(6244,plain,
% 4.59/4.75 (^[I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~node48(I0, X))) <=> (m_processor_v_master(I0, X) | (~node48(I0, X))))),
% 4.59/4.75 inference(bind,[status(th)],[])).
% 4.59/4.75 tff(6245,plain,
% 4.59/4.75 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))),
% 4.59/4.75 inference(quant_intro,[status(thm)],[6244])).
% 4.59/4.75 tff(6246,plain,
% 4.59/4.75 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))),
% 4.59/4.75 inference(rewrite,[status(thm)],[])).
% 4.59/4.75 tff(6247,axiom,(![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_98')).
% 4.59/4.75 tff(6248,plain,
% 4.59/4.75 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))),
% 4.59/4.75 inference(modus_ponens,[status(thm)],[6247, 6246])).
% 4.59/4.75 tff(6249,plain,(
% 4.59/4.75 ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))),
% 4.59/4.75 inference(skolemize,[status(sab)],[6248])).
% 4.59/4.75 tff(6250,plain,
% 4.59/4.75 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))),
% 4.59/4.75 inference(modus_ponens,[status(thm)],[6249, 6245])).
% 4.59/4.75 tff(6251,plain,
% 4.59/4.75 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node48(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node48(c_p0, s3)))),
% 4.59/4.75 inference(rewrite,[status(thm)],[])).
% 4.59/4.75 tff(6252,plain,
% 4.59/4.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node48(c_p0, s3)))),
% 4.59/4.75 inference(quant_inst,[status(thm)],[])).
% 4.59/4.75 tff(6253,plain,
% 4.59/4.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node48(c_p0, s3))),
% 4.59/4.75 inference(modus_ponens,[status(thm)],[6252, 6251])).
% 4.59/4.75 tff(6254,plain,
% 4.59/4.75 (~node48(c_p0, s3)),
% 4.59/4.75 inference(unit_resolution,[status(thm)],[6253, 6250, 6232])).
% 4.59/4.75 tff(6255,assumption,(~m_processor_v_cmd(c_p0, s3, c_idle)), introduced(assumption)).
% 4.59/4.75 tff(6256,plain,
% 4.59/4.75 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node63(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node63(c_p0, s3)))),
% 4.59/4.75 inference(rewrite,[status(thm)],[])).
% 4.59/4.75 tff(6257,plain,
% 4.59/4.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node63(c_p0, s3)))),
% 4.59/4.75 inference(quant_inst,[status(thm)],[])).
% 4.59/4.75 tff(6258,plain,
% 4.59/4.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node63(c_p0, s3))),
% 4.59/4.75 inference(modus_ponens,[status(thm)],[6257, 6256])).
% 4.59/4.75 tff(6259,plain,
% 4.59/4.75 (~node63(c_p0, s3)),
% 4.59/4.75 inference(unit_resolution,[status(thm)],[6258, 788, 2313])).
% 4.59/4.75 tff(6260,plain,
% 4.59/4.75 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node62(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node62(c_p0, s3)))),
% 4.59/4.75 inference(rewrite,[status(thm)],[])).
% 4.59/4.75 tff(6261,plain,
% 4.59/4.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node62(c_p0, s3)))),
% 4.59/4.75 inference(quant_inst,[status(thm)],[])).
% 4.59/4.75 tff(6262,plain,
% 4.59/4.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node62(c_p0, s3))),
% 4.59/4.75 inference(modus_ponens,[status(thm)],[6261, 6260])).
% 4.59/4.75 tff(6263,plain,
% 4.59/4.75 (~node62(c_p0, s3)),
% 4.59/4.75 inference(unit_resolution,[status(thm)],[6262, 757, 2313])).
% 4.59/4.75 tff(6264,plain,
% 4.59/4.75 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node66(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node66(c_p0, s3)))),
% 4.59/4.75 inference(rewrite,[status(thm)],[])).
% 4.59/4.75 tff(6265,plain,
% 4.59/4.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node66(c_p0, s3)))),
% 4.59/4.75 inference(quant_inst,[status(thm)],[])).
% 4.59/4.75 tff(6266,plain,
% 4.59/4.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node66(c_p0, s3))),
% 4.59/4.75 inference(modus_ponens,[status(thm)],[6265, 6264])).
% 4.59/4.75 tff(6267,plain,
% 4.59/4.75 (~node66(c_p0, s3)),
% 4.59/4.75 inference(unit_resolution,[status(thm)],[6266, 801, 2313])).
% 4.59/4.75 tff(6268,assumption,(~node62(c_p0, s3)), introduced(assumption)).
% 4.59/4.75 tff(6269,plain,
% 4.59/4.75 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node65(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node65(c_p0, s3)))),
% 4.59/4.75 inference(rewrite,[status(thm)],[])).
% 4.59/4.75 tff(6270,plain,
% 4.59/4.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node65(c_p0, s3)))),
% 4.59/4.75 inference(quant_inst,[status(thm)],[])).
% 4.59/4.75 tff(6271,plain,
% 4.59/4.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node65(c_p0, s3))),
% 4.59/4.75 inference(modus_ponens,[status(thm)],[6270, 6269])).
% 4.59/4.75 tff(6272,plain,
% 4.59/4.75 (~node65(c_p0, s3)),
% 4.59/4.75 inference(unit_resolution,[status(thm)],[6271, 740, 2313])).
% 4.59/4.75 tff(6273,plain,
% 4.59/4.75 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node64(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node64(c_p0, s3)))),
% 4.59/4.75 inference(rewrite,[status(thm)],[])).
% 4.59/4.75 tff(6274,plain,
% 4.59/4.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node64(c_p0, s3)))),
% 4.59/4.75 inference(quant_inst,[status(thm)],[])).
% 4.59/4.75 tff(6275,plain,
% 4.59/4.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node64(c_p0, s3))),
% 4.59/4.75 inference(modus_ponens,[status(thm)],[6274, 6273])).
% 4.59/4.75 tff(6276,plain,
% 4.59/4.75 (~node64(c_p0, s3)),
% 4.59/4.75 inference(unit_resolution,[status(thm)],[6275, 726, 2313])).
% 4.59/4.75 tff(6277,assumption,(~node63(c_p0, s3)), introduced(assumption)).
% 4.59/4.75 tff(6278,plain,
% 4.59/4.75 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node64(c_p0, s3) | node63(c_p0, s3) | node65(c_p0, s3) | node62(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_idle) | node66(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node64(c_p0, s3) | node63(c_p0, s3) | node65(c_p0, s3) | node62(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_idle) | node66(c_p0, s3))),
% 4.59/4.75 inference(rewrite,[status(thm)],[])).
% 4.59/4.75 tff(6279,plain,
% 4.59/4.75 ((m_processor_v_cmd(c_p0, s3, c_idle) | node62(c_p0, s3) | node63(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3) | node66(c_p0, s3)) <=> (node64(c_p0, s3) | node63(c_p0, s3) | node65(c_p0, s3) | node62(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_idle) | node66(c_p0, s3))),
% 4.59/4.75 inference(rewrite,[status(thm)],[])).
% 4.59/4.75 tff(6280,plain,
% 4.59/4.75 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_idle) | node62(c_p0, s3) | node63(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3) | node66(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node64(c_p0, s3) | node63(c_p0, s3) | node65(c_p0, s3) | node62(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_idle) | node66(c_p0, s3)))),
% 4.59/4.75 inference(monotonicity,[status(thm)],[6279])).
% 4.59/4.75 tff(6281,plain,
% 4.59/4.75 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_idle) | node62(c_p0, s3) | node63(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3) | node66(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node64(c_p0, s3) | node63(c_p0, s3) | node65(c_p0, s3) | node62(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_idle) | node66(c_p0, s3))),
% 4.59/4.76 inference(transitivity,[status(thm)],[6280, 6278])).
% 4.59/4.76 tff(6282,plain,
% 4.59/4.76 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_idle) | node62(c_p0, s3) | node63(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3) | node66(c_p0, s3))),
% 4.59/4.76 inference(quant_inst,[status(thm)],[])).
% 4.59/4.76 tff(6283,plain,
% 4.59/4.76 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node64(c_p0, s3) | node63(c_p0, s3) | node65(c_p0, s3) | node62(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_idle) | node66(c_p0, s3)),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6282, 6281])).
% 4.59/4.76 tff(6284,plain,
% 4.59/4.76 (node64(c_p0, s3) | node65(c_p0, s3) | node62(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_idle) | node66(c_p0, s3)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6283, 773, 6277])).
% 4.59/4.76 tff(6285,plain,
% 4.59/4.76 ($false),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6284, 6276, 6272, 6255, 6268, 6267])).
% 4.59/4.76 tff(6286,plain,(m_processor_v_master(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_idle) | node62(c_p0, s3) | node63(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.76 tff(6287,plain,
% 4.59/4.76 ($false),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6286, 6263, 6259, 6255, 2313])).
% 4.59/4.76 tff(6288,plain,(m_processor_v_master(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.76 tff(6289,plain,
% 4.59/4.76 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6288, 6232])).
% 4.59/4.76 tff(6290,plain,
% 4.59/4.76 (m_processor_v_writable(c_p1, s4)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[4172, 6078])).
% 4.59/4.76 tff(6291,plain,
% 4.59/4.76 (node56(c_p1, s4)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[4180, 6290])).
% 4.59/4.76 tff(6292,plain,
% 4.59/4.76 (m_processor_v_state(c_p1, s4, c_owned)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[4188, 6291])).
% 4.59/4.76 tff(6293,plain,
% 4.59/4.76 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[4194, 228, 6292])).
% 4.59/4.76 tff(6294,assumption,(m_main_v_CMD(s3, c_write_h_resp_h_invalid)), introduced(assumption)).
% 4.59/4.76 tff(6295,plain,
% 4.59/4.76 (^[X: $i] : refl(((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))))),
% 4.59/4.76 inference(bind,[status(th)],[])).
% 4.59/4.76 tff(6296,plain,
% 4.59/4.76 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(quant_intro,[status(thm)],[6295])).
% 4.59/4.76 tff(6297,plain,
% 4.59/4.76 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6298,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_13')).
% 4.59/4.76 tff(6299,plain,
% 4.59/4.76 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6298, 6297])).
% 4.59/4.76 tff(6300,plain,(
% 4.59/4.76 ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(skolemize,[status(sab)],[6299])).
% 4.59/4.76 tff(6301,plain,
% 4.59/4.76 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6300, 6296])).
% 4.59/4.76 tff(6302,plain,
% 4.59/4.76 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6303,plain,
% 4.59/4.76 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(quant_inst,[status(thm)],[])).
% 4.59/4.76 tff(6304,plain,
% 4.59/4.76 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6303, 6302])).
% 4.59/4.76 tff(6305,plain,
% 4.59/4.76 (~m_main_v_CMD(s3, c_read_h_shared)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6304, 6301, 6294])).
% 4.59/4.76 tff(6306,assumption,(~node3(s3)), introduced(assumption)).
% 4.59/4.76 tff(6307,plain,
% 4.59/4.76 ((~![X: $i] : node3(X)) | node3(s3)),
% 4.59/4.76 inference(quant_inst,[status(thm)],[])).
% 4.59/4.76 tff(6308,plain,
% 4.59/4.76 ($false),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6307, 662, 6306])).
% 4.59/4.76 tff(6309,plain,(node3(s3)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.76 tff(6310,plain,
% 4.59/4.76 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_read_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_read_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6311,plain,
% 4.59/4.76 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_read_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))),
% 4.59/4.76 inference(quant_inst,[status(thm)],[])).
% 4.59/4.76 tff(6312,plain,
% 4.59/4.76 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_read_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6311, 6310])).
% 4.59/4.76 tff(6313,plain,
% 4.59/4.76 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6312, 675, 6309, 6305])).
% 4.59/4.76 tff(6314,plain,
% 4.59/4.76 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node3(s3)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node3(s3)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6315,plain,
% 4.59/4.76 (((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node3(s3)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6316,plain,
% 4.59/4.76 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node3(s3))))),
% 4.59/4.76 inference(monotonicity,[status(thm)],[6315])).
% 4.59/4.76 tff(6317,plain,
% 4.59/4.76 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node3(s3)))),
% 4.59/4.76 inference(transitivity,[status(thm)],[6316, 6314])).
% 4.59/4.76 tff(6318,plain,
% 4.59/4.76 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))),
% 4.59/4.76 inference(quant_inst,[status(thm)],[])).
% 4.59/4.76 tff(6319,plain,
% 4.59/4.76 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node3(s3))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6318, 6317])).
% 4.59/4.76 tff(6320,plain,
% 4.59/4.76 (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6319, 901, 6309, 6294])).
% 4.59/4.76 tff(6321,plain,
% 4.59/4.76 (^[X: $i] : refl(((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))))),
% 4.59/4.76 inference(bind,[status(th)],[])).
% 4.59/4.76 tff(6322,plain,
% 4.59/4.76 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(quant_intro,[status(thm)],[6321])).
% 4.59/4.76 tff(6323,plain,
% 4.59/4.76 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6324,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_24')).
% 4.59/4.76 tff(6325,plain,
% 4.59/4.76 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6324, 6323])).
% 4.59/4.76 tff(6326,plain,(
% 4.59/4.76 ![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(skolemize,[status(sab)],[6325])).
% 4.59/4.76 tff(6327,plain,
% 4.59/4.76 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6326, 6322])).
% 4.59/4.76 tff(6328,plain,
% 4.59/4.76 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6329,plain,
% 4.59/4.76 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(quant_inst,[status(thm)],[])).
% 4.59/4.76 tff(6330,plain,
% 4.59/4.76 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6329, 6328])).
% 4.59/4.76 tff(6331,plain,
% 4.59/4.76 (~m_main_v_CMD(s3, c_write_h_invalid)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6330, 6327, 6294])).
% 4.59/4.76 tff(6332,plain,
% 4.59/4.76 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_invalid) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_write_h_invalid) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6333,plain,
% 4.59/4.76 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_invalid) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)))),
% 4.59/4.76 inference(quant_inst,[status(thm)],[])).
% 4.59/4.76 tff(6334,plain,
% 4.59/4.76 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_write_h_invalid) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6333, 6332])).
% 4.59/4.76 tff(6335,plain,
% 4.59/4.76 (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6334, 675, 6331, 6309])).
% 4.59/4.76 tff(6336,plain,
% 4.59/4.76 (^[X: $i] : refl(((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))))),
% 4.59/4.76 inference(bind,[status(th)],[])).
% 4.59/4.76 tff(6337,plain,
% 4.59/4.76 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(quant_intro,[status(thm)],[6336])).
% 4.59/4.76 tff(6338,plain,
% 4.59/4.76 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6339,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_19')).
% 4.59/4.76 tff(6340,plain,
% 4.59/4.76 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6339, 6338])).
% 4.59/4.76 tff(6341,plain,(
% 4.59/4.76 ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(skolemize,[status(sab)],[6340])).
% 4.59/4.76 tff(6342,plain,
% 4.59/4.76 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6341, 6337])).
% 4.59/4.76 tff(6343,plain,
% 4.59/4.76 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6344,plain,
% 4.59/4.76 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(quant_inst,[status(thm)],[])).
% 4.59/4.76 tff(6345,plain,
% 4.59/4.76 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6344, 6343])).
% 4.59/4.76 tff(6346,plain,
% 4.59/4.76 ($false),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6345, 6342, 6294, 2683])).
% 4.59/4.76 tff(6347,plain,((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s3, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.76 tff(6348,plain,
% 4.59/4.76 (~m_main_v_CMD(s3, c_read_h_owned)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6347, 6294])).
% 4.59/4.76 tff(6349,assumption,(~m_main_v_CMD(s3, c_read_h_owned)), introduced(assumption)).
% 4.59/4.76 tff(6350,plain,
% 4.59/4.76 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_read_h_owned) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6351,plain,
% 4.59/4.76 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))),
% 4.59/4.76 inference(quant_inst,[status(thm)],[])).
% 4.59/4.76 tff(6352,plain,
% 4.59/4.76 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_read_h_owned) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6351, 6350])).
% 4.59/4.76 tff(6353,plain,
% 4.59/4.76 ($false),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6352, 675, 6309, 6349, 4332])).
% 4.59/4.76 tff(6354,plain,((~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | m_main_v_CMD(s3, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.76 tff(6355,plain,
% 4.59/4.76 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6354, 6348])).
% 4.59/4.76 tff(6356,plain,
% 4.59/4.76 (^[X: $i] : refl(((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))))),
% 4.59/4.76 inference(bind,[status(th)],[])).
% 4.59/4.76 tff(6357,plain,
% 4.59/4.76 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(quant_intro,[status(thm)],[6356])).
% 4.59/4.76 tff(6358,plain,
% 4.59/4.76 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6359,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_6')).
% 4.59/4.76 tff(6360,plain,
% 4.59/4.76 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6359, 6358])).
% 4.59/4.76 tff(6361,plain,(
% 4.59/4.76 ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(skolemize,[status(sab)],[6360])).
% 4.59/4.76 tff(6362,plain,
% 4.59/4.76 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6361, 6357])).
% 4.59/4.76 tff(6363,plain,
% 4.59/4.76 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6364,plain,
% 4.59/4.76 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(quant_inst,[status(thm)],[])).
% 4.59/4.76 tff(6365,plain,
% 4.59/4.76 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6364, 6363])).
% 4.59/4.76 tff(6366,plain,
% 4.59/4.76 (~m_main_v_CMD(s3, c_idle)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6365, 6362, 6294])).
% 4.59/4.76 tff(6367,assumption,(m_processor_v_cmd(c_p0, s3, c_idle)), introduced(assumption)).
% 4.59/4.76 tff(6368,plain,
% 4.59/4.76 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6369,plain,
% 4.59/4.76 (((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s3, c_response))) <=> ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6370,plain,
% 4.59/4.76 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s3, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid))))),
% 4.59/4.76 inference(monotonicity,[status(thm)],[6369])).
% 4.59/4.76 tff(6371,plain,
% 4.59/4.76 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s3, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 4.59/4.76 inference(transitivity,[status(thm)],[6370, 6368])).
% 4.59/4.76 tff(6372,plain,
% 4.59/4.76 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s3, c_response)))),
% 4.59/4.76 inference(quant_inst,[status(thm)],[])).
% 4.59/4.76 tff(6373,plain,
% 4.59/4.76 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6372, 6371])).
% 4.59/4.76 tff(6374,plain,
% 4.59/4.76 (~m_main_v_CMD(s3, c_response)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6373, 5017, 6294])).
% 4.59/4.76 tff(6375,assumption,(~m_main_v_CMD(s3, c_idle)), introduced(assumption)).
% 4.59/4.76 tff(6376,assumption,(node12(s3)), introduced(assumption)).
% 4.59/4.76 tff(6377,plain,
% 4.59/4.76 (^[V: $i, X: $i] : refl((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X))) <=> (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X))))),
% 4.59/4.76 inference(bind,[status(th)],[])).
% 4.59/4.76 tff(6378,plain,
% 4.59/4.76 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))),
% 4.59/4.76 inference(quant_intro,[status(thm)],[6377])).
% 4.59/4.76 tff(6379,plain,
% 4.59/4.76 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6380,plain,
% 4.59/4.76 (^[V: $i, X: $i] : trans(monotonicity(rewrite((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) <=> (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)))), (((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node12(X))) <=> ((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node12(X))))), rewrite(((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node12(X))) <=> (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))), (((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node12(X))) <=> (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))))),
% 4.59/4.76 inference(bind,[status(th)],[])).
% 4.59/4.76 tff(6381,plain,
% 4.59/4.76 (![V: $i, X: $i] : ((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node12(X))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))),
% 4.59/4.76 inference(quant_intro,[status(thm)],[6380])).
% 4.59/4.76 tff(6382,axiom,(![V: $i, X: $i] : ((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node12(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_100')).
% 4.59/4.76 tff(6383,plain,
% 4.59/4.76 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6382, 6381])).
% 4.59/4.76 tff(6384,plain,
% 4.59/4.76 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6383, 6379])).
% 4.59/4.76 tff(6385,plain,(
% 4.59/4.76 ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))),
% 4.59/4.76 inference(skolemize,[status(sab)],[6384])).
% 4.59/4.76 tff(6386,plain,
% 4.59/4.76 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6385, 6378])).
% 4.59/4.76 tff(6387,plain,
% 4.59/4.76 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | ((~m_processor_v_cmd(c_p0, s3, c_idle)) | m_main_v_CMD(s3, c_idle) | (~node12(s3)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | m_main_v_CMD(s3, c_idle) | (~node12(s3)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6388,plain,
% 4.59/4.76 ((m_main_v_CMD(s3, c_idle) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~node12(s3))) <=> ((~m_processor_v_cmd(c_p0, s3, c_idle)) | m_main_v_CMD(s3, c_idle) | (~node12(s3)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6389,plain,
% 4.59/4.76 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s3, c_idle) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~node12(s3)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | ((~m_processor_v_cmd(c_p0, s3, c_idle)) | m_main_v_CMD(s3, c_idle) | (~node12(s3))))),
% 4.59/4.76 inference(monotonicity,[status(thm)],[6388])).
% 4.59/4.76 tff(6390,plain,
% 4.59/4.76 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s3, c_idle) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~node12(s3)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | m_main_v_CMD(s3, c_idle) | (~node12(s3)))),
% 4.59/4.76 inference(transitivity,[status(thm)],[6389, 6387])).
% 4.59/4.76 tff(6391,plain,
% 4.59/4.76 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s3, c_idle) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~node12(s3)))),
% 4.59/4.76 inference(quant_inst,[status(thm)],[])).
% 4.59/4.76 tff(6392,plain,
% 4.59/4.76 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | m_main_v_CMD(s3, c_idle) | (~node12(s3))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6391, 6390])).
% 4.59/4.76 tff(6393,plain,
% 4.59/4.76 ($false),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6392, 6386, 6376, 6367, 6375])).
% 4.59/4.76 tff(6394,plain,((~node12(s3)) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | m_main_v_CMD(s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.76 tff(6395,plain,
% 4.59/4.76 (~node12(s3)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6394, 6367, 6375])).
% 4.59/4.76 tff(6396,assumption,(m_processor_v_cmd(c_p1, s3, c_idle)), introduced(assumption)).
% 4.59/4.76 tff(6397,assumption,(node8(s3)), introduced(assumption)).
% 4.59/4.76 tff(6398,plain,
% 4.59/4.76 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s3, c_idle)) | m_main_v_CMD(s3, c_idle) | (~node8(s3)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | m_main_v_CMD(s3, c_idle) | (~node8(s3)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6399,plain,
% 4.59/4.76 ((m_main_v_CMD(s3, c_idle) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_idle))) <=> ((~m_processor_v_cmd(c_p0, s3, c_idle)) | m_main_v_CMD(s3, c_idle) | (~node8(s3)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6400,plain,
% 4.59/4.76 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_idle) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s3, c_idle)) | m_main_v_CMD(s3, c_idle) | (~node8(s3))))),
% 4.59/4.76 inference(monotonicity,[status(thm)],[6399])).
% 4.59/4.76 tff(6401,plain,
% 4.59/4.76 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_idle) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | m_main_v_CMD(s3, c_idle) | (~node8(s3)))),
% 4.59/4.76 inference(transitivity,[status(thm)],[6400, 6398])).
% 4.59/4.76 tff(6402,plain,
% 4.59/4.76 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_idle) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))),
% 4.59/4.76 inference(quant_inst,[status(thm)],[])).
% 4.59/4.76 tff(6403,plain,
% 4.59/4.76 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | m_main_v_CMD(s3, c_idle) | (~node8(s3))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6402, 6401])).
% 4.59/4.76 tff(6404,plain,
% 4.59/4.76 ($false),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6403, 2716, 6367, 6375, 6397])).
% 4.59/4.76 tff(6405,plain,((~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | m_main_v_CMD(s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.76 tff(6406,plain,
% 4.59/4.76 (~node8(s3)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6405, 6367, 6375])).
% 4.59/4.76 tff(6407,assumption,(~node8(s3)), introduced(assumption)).
% 4.59/4.76 tff(6408,assumption,(m_memory_v_cmd(c_m, s3, c_idle)), introduced(assumption)).
% 4.59/4.76 tff(6409,assumption,(~node12(s3)), introduced(assumption)).
% 4.59/4.76 tff(6410,plain,
% 4.59/4.76 (((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s3)) | m_processor_v_cmd(c_p2, s3, c_idle))) <=> ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s3)) | m_processor_v_cmd(c_p2, s3, c_idle))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6411,plain,
% 4.59/4.76 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s3)) | m_processor_v_cmd(c_p2, s3, c_idle))),
% 4.59/4.76 inference(quant_inst,[status(thm)],[])).
% 4.59/4.76 tff(6412,plain,
% 4.59/4.76 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s3)) | m_processor_v_cmd(c_p2, s3, c_idle)),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6411, 6410])).
% 4.59/4.76 tff(6413,plain,
% 4.59/4.76 (~node9(s3)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6412, 5821, 2507])).
% 4.59/4.76 tff(6414,plain,
% 4.59/4.76 (((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s3, c_idle) | (~node11(s3)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | m_processor_v_cmd(c_p2, s3, c_idle) | (~node11(s3)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6415,plain,
% 4.59/4.76 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s3, c_idle) | (~node11(s3)))),
% 4.59/4.76 inference(quant_inst,[status(thm)],[])).
% 4.59/4.76 tff(6416,plain,
% 4.59/4.76 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | m_processor_v_cmd(c_p2, s3, c_idle) | (~node11(s3))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6415, 6414])).
% 4.59/4.76 tff(6417,plain,
% 4.59/4.76 (~node11(s3)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6416, 5801, 2507])).
% 4.59/4.76 tff(6418,plain,
% 4.59/4.76 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | node11(s3) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | node12(s3) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s3) | node11(s3) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | node12(s3) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6419,plain,
% 4.59/4.76 ((node9(s3) | node11(s3) | node12(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle))) <=> (node9(s3) | node11(s3) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | node12(s3) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)))),
% 4.59/4.76 inference(rewrite,[status(thm)],[])).
% 4.59/4.76 tff(6420,plain,
% 4.59/4.76 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | node11(s3) | node12(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | node11(s3) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | node12(s3) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle))))),
% 4.59/4.76 inference(monotonicity,[status(thm)],[6419])).
% 4.59/4.76 tff(6421,plain,
% 4.59/4.76 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | node11(s3) | node12(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s3) | node11(s3) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | node12(s3) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)))),
% 4.59/4.76 inference(transitivity,[status(thm)],[6420, 6418])).
% 4.59/4.76 tff(6422,plain,
% 4.59/4.76 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | node11(s3) | node12(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))),
% 4.59/4.76 inference(quant_inst,[status(thm)],[])).
% 4.59/4.76 tff(6423,plain,
% 4.59/4.76 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s3) | node11(s3) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | node12(s3) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle))),
% 4.59/4.76 inference(modus_ponens,[status(thm)],[6422, 6421])).
% 4.59/4.76 tff(6424,plain,
% 4.59/4.76 (node9(s3) | node11(s3) | node12(s3) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle))),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6423, 5837, 6396])).
% 4.59/4.76 tff(6425,plain,
% 4.59/4.76 ($false),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6424, 6417, 6413, 6409, 6408, 6367])).
% 4.59/4.76 tff(6426,plain,(m_processor_v_cmd(c_p2, s3, c_idle) | node12(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.76 tff(6427,plain,
% 4.59/4.76 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6426, 6408, 6367, 6396, 6409])).
% 4.59/4.76 tff(6428,plain,
% 4.59/4.76 ((~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node8(s3)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[2575, 1130, 6396])).
% 4.59/4.76 tff(6429,plain,
% 4.59/4.76 ($false),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6428, 6427, 6408, 6407])).
% 4.59/4.76 tff(6430,plain,((~m_memory_v_cmd(c_m, s3, c_idle)) | node8(s3) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | node12(s3)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.76 tff(6431,plain,
% 4.59/4.76 (~m_memory_v_cmd(c_m, s3, c_idle)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[6430, 6406, 6396, 6367, 6395])).
% 4.59/4.76 tff(6432,plain,
% 4.59/4.76 (node29(c_m, s3)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[2568, 6431])).
% 4.59/4.76 tff(6433,plain,
% 4.59/4.76 (m_memory_v_master(c_m, s3)),
% 4.59/4.76 inference(unit_resolution,[status(thm)],[2560, 6432])).
% 4.59/4.77 tff(6434,plain,
% 4.59/4.77 (node17(s3)),
% 4.59/4.77 inference(unit_resolution,[status(thm)],[2552, 6433])).
% 4.59/4.77 tff(6435,plain,
% 4.59/4.77 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~node17(s3)) | (~m_processor_v_master(c_p2, s3)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s3)) | (~m_processor_v_master(c_p2, s3)))),
% 4.59/4.77 inference(rewrite,[status(thm)],[])).
% 4.59/4.77 tff(6436,plain,
% 4.59/4.77 (((~m_processor_v_master(c_p2, s3)) | (~node17(s3))) <=> ((~node17(s3)) | (~m_processor_v_master(c_p2, s3)))),
% 4.59/4.77 inference(rewrite,[status(thm)],[])).
% 4.59/4.77 tff(6437,plain,
% 4.59/4.77 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s3)) | (~node17(s3)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~node17(s3)) | (~m_processor_v_master(c_p2, s3))))),
% 4.59/4.77 inference(monotonicity,[status(thm)],[6436])).
% 4.59/4.77 tff(6438,plain,
% 4.59/4.77 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s3)) | (~node17(s3)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s3)) | (~m_processor_v_master(c_p2, s3)))),
% 4.59/4.77 inference(transitivity,[status(thm)],[6437, 6435])).
% 4.59/4.77 tff(6439,plain,
% 4.59/4.77 ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s3)) | (~node17(s3)))),
% 4.59/4.77 inference(quant_inst,[status(thm)],[])).
% 4.59/4.77 tff(6440,plain,
% 4.59/4.77 ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s3)) | (~m_processor_v_master(c_p2, s3))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6439, 6438])).
% 4.59/4.77 tff(6441,plain,
% 4.59/4.77 ($false),
% 4.59/4.77 inference(unit_resolution,[status(thm)],[6440, 5633, 2538, 2478])).
% 4.59/4.77 tff(6442,plain,((~m_processor_v_master(c_p2, s3)) | (~node17(s3))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.77 tff(6443,plain,
% 4.59/4.77 (~m_processor_v_master(c_p2, s3)),
% 4.59/4.77 inference(unit_resolution,[status(thm)],[6442, 6434])).
% 4.59/4.77 tff(6444,plain,
% 4.59/4.77 (~node65(c_p2, s3)),
% 4.59/4.77 inference(unit_resolution,[status(thm)],[2491, 6443])).
% 4.59/4.77 tff(6445,plain,
% 4.59/4.77 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 4.59/4.77 inference(unit_resolution,[status(thm)],[2536, 6443, 6444])).
% 4.59/4.77 tff(6446,plain,
% 4.59/4.77 (^[X: $i] : refl((m_memory_v_cmd(c_m, X, c_idle) | (~node11(X))) <=> (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X))))),
% 4.59/4.77 inference(bind,[status(th)],[])).
% 4.59/4.77 tff(6447,plain,
% 4.59/4.77 (![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X))) <=> ![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))),
% 4.59/4.77 inference(quant_intro,[status(thm)],[6446])).
% 4.59/4.77 tff(6448,plain,
% 4.59/4.77 (![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X))) <=> ![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))),
% 4.59/4.77 inference(rewrite,[status(thm)],[])).
% 4.59/4.77 tff(6449,axiom,(![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_99')).
% 4.59/4.77 tff(6450,plain,
% 4.59/4.77 (![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6449, 6448])).
% 4.59/4.77 tff(6451,plain,(
% 4.59/4.77 ![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))),
% 4.59/4.77 inference(skolemize,[status(sab)],[6450])).
% 4.59/4.77 tff(6452,plain,
% 4.59/4.77 (![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6451, 6447])).
% 4.59/4.77 tff(6453,plain,
% 4.59/4.77 (((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | (m_memory_v_cmd(c_m, s3, c_idle) | (~node11(s3)))) <=> ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | m_memory_v_cmd(c_m, s3, c_idle) | (~node11(s3)))),
% 4.59/4.77 inference(rewrite,[status(thm)],[])).
% 4.59/4.77 tff(6454,plain,
% 4.59/4.77 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | (m_memory_v_cmd(c_m, s3, c_idle) | (~node11(s3)))),
% 4.59/4.77 inference(quant_inst,[status(thm)],[])).
% 4.59/4.77 tff(6455,plain,
% 4.59/4.77 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | m_memory_v_cmd(c_m, s3, c_idle) | (~node11(s3))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6454, 6453])).
% 4.59/4.77 tff(6456,plain,
% 4.59/4.77 (~node11(s3)),
% 4.59/4.77 inference(unit_resolution,[status(thm)],[6455, 6452, 6431])).
% 4.59/4.77 tff(6457,plain,
% 4.59/4.77 (node29(c_m, s3)),
% 4.59/4.77 inference(unit_resolution,[status(thm)],[2566, 948, 2563])).
% 4.59/4.77 tff(6458,plain,
% 4.59/4.77 (m_memory_v_master(c_m, s3)),
% 4.59/4.77 inference(unit_resolution,[status(thm)],[2558, 1085, 6457])).
% 4.59/4.77 tff(6459,plain,
% 4.59/4.77 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s3) | (~node29(c_m, s3)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | m_memory_v_busy(c_m, s3) | (~node29(c_m, s3)))),
% 4.59/4.77 inference(rewrite,[status(thm)],[])).
% 4.59/4.77 tff(6460,plain,
% 4.59/4.77 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s3) | (~node29(c_m, s3)))),
% 4.59/4.77 inference(quant_inst,[status(thm)],[])).
% 4.59/4.77 tff(6461,plain,
% 4.59/4.77 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | m_memory_v_busy(c_m, s3) | (~node29(c_m, s3))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6460, 6459])).
% 4.59/4.77 tff(6462,plain,
% 4.59/4.77 (m_memory_v_busy(c_m, s3)),
% 4.59/4.77 inference(unit_resolution,[status(thm)],[6461, 930, 6457])).
% 4.59/4.77 tff(6463,assumption,(~m_memory_v_cmd(c_m, s3, c_response)), introduced(assumption)).
% 4.59/4.77 tff(6464,plain,
% 4.59/4.77 (^[I0: $i, X: $i] : refl((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X))) <=> (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X))))),
% 4.59/4.77 inference(bind,[status(th)],[])).
% 4.59/4.77 tff(6465,plain,
% 4.59/4.77 (![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))),
% 4.59/4.77 inference(quant_intro,[status(thm)],[6464])).
% 4.59/4.77 tff(6466,plain,
% 4.59/4.77 (![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))),
% 4.59/4.77 inference(rewrite,[status(thm)],[])).
% 4.59/4.77 tff(6467,plain,
% 4.59/4.77 (^[I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle)) <=> (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle))), (((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle)) | (~m_memory_v_master(I0, X))) <=> ((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle)) | (~m_memory_v_master(I0, X))))), rewrite(((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle)) | (~m_memory_v_master(I0, X))) <=> (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_master(I0, X)))), (((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle)) | (~m_memory_v_master(I0, X))) <=> (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_master(I0, X))))), ((((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle)) | (~m_memory_v_master(I0, X))) | (~m_memory_v_busy(I0, X))) <=> ((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_master(I0, X))) | (~m_memory_v_busy(I0, X))))), rewrite(((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_master(I0, X))) | (~m_memory_v_busy(I0, X))) <=> (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))), ((((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle)) | (~m_memory_v_master(I0, X))) | (~m_memory_v_busy(I0, X))) <=> (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))))),
% 4.59/4.77 inference(bind,[status(th)],[])).
% 4.59/4.77 tff(6468,plain,
% 4.59/4.77 (![I0: $i, X: $i] : (((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle)) | (~m_memory_v_master(I0, X))) | (~m_memory_v_busy(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))),
% 4.59/4.77 inference(quant_intro,[status(thm)],[6467])).
% 4.59/4.77 tff(6469,axiom,(![I0: $i, X: $i] : (((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle)) | (~m_memory_v_master(I0, X))) | (~m_memory_v_busy(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_71')).
% 4.59/4.77 tff(6470,plain,
% 4.59/4.77 (![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6469, 6468])).
% 4.59/4.77 tff(6471,plain,
% 4.59/4.77 (![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6470, 6466])).
% 4.59/4.77 tff(6472,plain,(
% 4.59/4.77 ![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))),
% 4.59/4.77 inference(skolemize,[status(sab)],[6471])).
% 4.59/4.77 tff(6473,plain,
% 4.59/4.77 (![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6472, 6465])).
% 4.59/4.77 tff(6474,plain,
% 4.59/4.77 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s3, c_idle) | m_memory_v_cmd(c_m, s3, c_response) | (~m_memory_v_busy(c_m, s3)) | (~m_memory_v_master(c_m, s3)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s3, c_idle) | m_memory_v_cmd(c_m, s3, c_response) | (~m_memory_v_busy(c_m, s3)) | (~m_memory_v_master(c_m, s3)))),
% 4.59/4.77 inference(rewrite,[status(thm)],[])).
% 4.59/4.77 tff(6475,plain,
% 4.59/4.77 ((m_memory_v_cmd(c_m, s3, c_response) | m_memory_v_cmd(c_m, s3, c_idle) | (~m_memory_v_busy(c_m, s3)) | (~m_memory_v_master(c_m, s3))) <=> (m_memory_v_cmd(c_m, s3, c_idle) | m_memory_v_cmd(c_m, s3, c_response) | (~m_memory_v_busy(c_m, s3)) | (~m_memory_v_master(c_m, s3)))),
% 4.59/4.77 inference(rewrite,[status(thm)],[])).
% 4.59/4.77 tff(6476,plain,
% 4.59/4.77 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s3, c_response) | m_memory_v_cmd(c_m, s3, c_idle) | (~m_memory_v_busy(c_m, s3)) | (~m_memory_v_master(c_m, s3)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s3, c_idle) | m_memory_v_cmd(c_m, s3, c_response) | (~m_memory_v_busy(c_m, s3)) | (~m_memory_v_master(c_m, s3))))),
% 4.59/4.77 inference(monotonicity,[status(thm)],[6475])).
% 4.59/4.77 tff(6477,plain,
% 4.59/4.77 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s3, c_response) | m_memory_v_cmd(c_m, s3, c_idle) | (~m_memory_v_busy(c_m, s3)) | (~m_memory_v_master(c_m, s3)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s3, c_idle) | m_memory_v_cmd(c_m, s3, c_response) | (~m_memory_v_busy(c_m, s3)) | (~m_memory_v_master(c_m, s3)))),
% 4.59/4.77 inference(transitivity,[status(thm)],[6476, 6474])).
% 4.59/4.77 tff(6478,plain,
% 4.59/4.77 ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s3, c_response) | m_memory_v_cmd(c_m, s3, c_idle) | (~m_memory_v_busy(c_m, s3)) | (~m_memory_v_master(c_m, s3)))),
% 4.59/4.77 inference(quant_inst,[status(thm)],[])).
% 4.59/4.77 tff(6479,plain,
% 4.59/4.77 ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s3, c_idle) | m_memory_v_cmd(c_m, s3, c_response) | (~m_memory_v_busy(c_m, s3)) | (~m_memory_v_master(c_m, s3))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6478, 6477])).
% 4.59/4.77 tff(6480,plain,
% 4.59/4.77 ((~m_memory_v_busy(c_m, s3)) | (~m_memory_v_master(c_m, s3))),
% 4.59/4.77 inference(unit_resolution,[status(thm)],[6479, 6473, 2563, 6463])).
% 4.59/4.77 tff(6481,plain,
% 4.59/4.77 ($false),
% 4.59/4.77 inference(unit_resolution,[status(thm)],[6480, 6462, 6458])).
% 4.59/4.77 tff(6482,plain,(m_memory_v_cmd(c_m, s3, c_idle) | m_memory_v_cmd(c_m, s3, c_response)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.77 tff(6483,plain,
% 4.59/4.77 (m_memory_v_cmd(c_m, s3, c_response)),
% 4.59/4.77 inference(unit_resolution,[status(thm)],[6482, 6431])).
% 4.59/4.77 tff(6484,assumption,(~m_main_v_CMD(s3, c_response)), introduced(assumption)).
% 4.59/4.77 tff(6485,plain,
% 4.59/4.77 (^[V: $i, X: $i] : refl((m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V))) <=> (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V))))),
% 4.59/4.77 inference(bind,[status(th)],[])).
% 4.59/4.77 tff(6486,plain,
% 4.59/4.77 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))),
% 4.59/4.77 inference(quant_intro,[status(thm)],[6485])).
% 4.59/4.77 tff(6487,plain,
% 4.59/4.77 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))),
% 4.59/4.77 inference(rewrite,[status(thm)],[])).
% 4.59/4.77 tff(6488,plain,
% 4.59/4.77 (^[V: $i, X: $i] : trans(monotonicity(rewrite((m_main_v_CMD(X, V) | (~m_memory_v_cmd(c_m, X, V))) <=> (m_main_v_CMD(X, V) | (~m_memory_v_cmd(c_m, X, V)))), (((m_main_v_CMD(X, V) | (~m_memory_v_cmd(c_m, X, V))) | (~node14(X))) <=> ((m_main_v_CMD(X, V) | (~m_memory_v_cmd(c_m, X, V))) | (~node14(X))))), rewrite(((m_main_v_CMD(X, V) | (~m_memory_v_cmd(c_m, X, V))) | (~node14(X))) <=> (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))), (((m_main_v_CMD(X, V) | (~m_memory_v_cmd(c_m, X, V))) | (~node14(X))) <=> (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))))),
% 4.59/4.77 inference(bind,[status(th)],[])).
% 4.59/4.77 tff(6489,plain,
% 4.59/4.77 (![V: $i, X: $i] : ((m_main_v_CMD(X, V) | (~m_memory_v_cmd(c_m, X, V))) | (~node14(X))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))),
% 4.59/4.77 inference(quant_intro,[status(thm)],[6488])).
% 4.59/4.77 tff(6490,axiom,(![V: $i, X: $i] : ((m_main_v_CMD(X, V) | (~m_memory_v_cmd(c_m, X, V))) | (~node14(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_105')).
% 4.59/4.77 tff(6491,plain,
% 4.59/4.77 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6490, 6489])).
% 4.59/4.77 tff(6492,plain,
% 4.59/4.77 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6491, 6487])).
% 4.59/4.77 tff(6493,plain,(
% 4.59/4.77 ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))),
% 4.59/4.77 inference(skolemize,[status(sab)],[6492])).
% 4.59/4.77 tff(6494,plain,
% 4.59/4.77 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6493, 6486])).
% 4.59/4.77 tff(6495,plain,
% 4.59/4.77 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s3, c_response) | (~node14(s3)) | (~m_memory_v_cmd(c_m, s3, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | m_main_v_CMD(s3, c_response) | (~node14(s3)) | (~m_memory_v_cmd(c_m, s3, c_response)))),
% 4.59/4.77 inference(rewrite,[status(thm)],[])).
% 4.59/4.77 tff(6496,plain,
% 4.59/4.77 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s3, c_response) | (~node14(s3)) | (~m_memory_v_cmd(c_m, s3, c_response)))),
% 4.59/4.77 inference(quant_inst,[status(thm)],[])).
% 4.59/4.77 tff(6497,plain,
% 4.59/4.77 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | m_main_v_CMD(s3, c_response) | (~node14(s3)) | (~m_memory_v_cmd(c_m, s3, c_response))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6496, 6495])).
% 4.59/4.77 tff(6498,plain,
% 4.59/4.77 ((~node14(s3)) | (~m_memory_v_cmd(c_m, s3, c_response))),
% 4.59/4.77 inference(unit_resolution,[status(thm)],[6497, 6494, 6484])).
% 4.59/4.77 tff(6499,plain,
% 4.59/4.77 (~node14(s3)),
% 4.59/4.77 inference(unit_resolution,[status(thm)],[6498, 6483])).
% 4.59/4.77 tff(6500,plain,
% 4.59/4.77 (^[X: $i] : refl((m_memory_v_cmd(c_m, X, c_idle) | (~node13(X))) <=> (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X))))),
% 4.59/4.77 inference(bind,[status(th)],[])).
% 4.59/4.77 tff(6501,plain,
% 4.59/4.77 (![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X))) <=> ![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))),
% 4.59/4.77 inference(quant_intro,[status(thm)],[6500])).
% 4.59/4.77 tff(6502,plain,
% 4.59/4.77 (![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X))) <=> ![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))),
% 4.59/4.77 inference(rewrite,[status(thm)],[])).
% 4.59/4.77 tff(6503,axiom,(![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_104')).
% 4.59/4.77 tff(6504,plain,
% 4.59/4.77 (![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6503, 6502])).
% 4.59/4.77 tff(6505,plain,(
% 4.59/4.77 ![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))),
% 4.59/4.77 inference(skolemize,[status(sab)],[6504])).
% 4.59/4.77 tff(6506,plain,
% 4.59/4.77 (![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6505, 6501])).
% 4.59/4.77 tff(6507,plain,
% 4.59/4.77 (((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | (m_memory_v_cmd(c_m, s3, c_idle) | (~node13(s3)))) <=> ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | m_memory_v_cmd(c_m, s3, c_idle) | (~node13(s3)))),
% 4.59/4.77 inference(rewrite,[status(thm)],[])).
% 4.59/4.77 tff(6508,plain,
% 4.59/4.77 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | (m_memory_v_cmd(c_m, s3, c_idle) | (~node13(s3)))),
% 4.59/4.77 inference(quant_inst,[status(thm)],[])).
% 4.59/4.77 tff(6509,plain,
% 4.59/4.77 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | m_memory_v_cmd(c_m, s3, c_idle) | (~node13(s3))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6508, 6507])).
% 4.59/4.77 tff(6510,plain,
% 4.59/4.77 (~node13(s3)),
% 4.59/4.77 inference(unit_resolution,[status(thm)],[6509, 6506, 6431])).
% 4.59/4.77 tff(6511,plain,
% 4.59/4.77 (^[X: $i] : refl(((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle)) <=> ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle)))),
% 4.59/4.77 inference(bind,[status(th)],[])).
% 4.59/4.77 tff(6512,plain,
% 4.59/4.77 (![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle)) <=> ![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))),
% 4.59/4.77 inference(quant_intro,[status(thm)],[6511])).
% 4.59/4.77 tff(6513,plain,
% 4.59/4.77 (![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle)) <=> ![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))),
% 4.59/4.77 inference(rewrite,[status(thm)],[])).
% 4.59/4.77 tff(6514,plain,
% 4.59/4.77 (^[X: $i] : rewrite((m_memory_v_cmd(c_m, X, c_idle) | (~node9(X))) <=> ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle)))),
% 4.59/4.77 inference(bind,[status(th)],[])).
% 4.59/4.77 tff(6515,plain,
% 4.59/4.77 (![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node9(X))) <=> ![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))),
% 4.59/4.77 inference(quant_intro,[status(thm)],[6514])).
% 4.59/4.77 tff(6516,axiom,(![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node9(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_94')).
% 4.59/4.77 tff(6517,plain,
% 4.59/4.77 (![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6516, 6515])).
% 4.59/4.77 tff(6518,plain,
% 4.59/4.77 (![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6517, 6513])).
% 4.59/4.77 tff(6519,plain,(
% 4.59/4.77 ![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))),
% 4.59/4.77 inference(skolemize,[status(sab)],[6518])).
% 4.59/4.77 tff(6520,plain,
% 4.59/4.77 (![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6519, 6512])).
% 4.59/4.77 tff(6521,plain,
% 4.59/4.77 (((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | ((~node9(s3)) | m_memory_v_cmd(c_m, s3, c_idle))) <=> ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | (~node9(s3)) | m_memory_v_cmd(c_m, s3, c_idle))),
% 4.59/4.77 inference(rewrite,[status(thm)],[])).
% 4.59/4.77 tff(6522,plain,
% 4.59/4.77 ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | ((~node9(s3)) | m_memory_v_cmd(c_m, s3, c_idle))),
% 4.59/4.77 inference(quant_inst,[status(thm)],[])).
% 4.59/4.77 tff(6523,plain,
% 4.59/4.77 ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | (~node9(s3)) | m_memory_v_cmd(c_m, s3, c_idle)),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6522, 6521])).
% 4.59/4.77 tff(6524,plain,
% 4.59/4.77 (~node9(s3)),
% 4.59/4.77 inference(unit_resolution,[status(thm)],[6523, 6520, 6431])).
% 4.59/4.77 tff(6525,assumption,(~node13(s3)), introduced(assumption)).
% 4.59/4.77 tff(6526,assumption,(~node11(s3)), introduced(assumption)).
% 4.59/4.77 tff(6527,assumption,(~node14(s3)), introduced(assumption)).
% 4.59/4.77 tff(6528,assumption,(~node9(s3)), introduced(assumption)).
% 4.59/4.77 tff(6529,assumption,(m_processor_v_cmd(c_p2, s3, c_idle)), introduced(assumption)).
% 4.59/4.77 tff(6530,plain,
% 4.59/4.77 (^[X: $i] : refl((node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))))),
% 4.59/4.77 inference(bind,[status(th)],[])).
% 4.59/4.77 tff(6531,plain,
% 4.59/4.77 (![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> ![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.59/4.77 inference(quant_intro,[status(thm)],[6530])).
% 4.59/4.77 tff(6532,plain,
% 4.59/4.77 (![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> ![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.59/4.77 inference(rewrite,[status(thm)],[])).
% 4.59/4.77 tff(6533,plain,
% 4.59/4.77 (^[X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((node9(X) | node11(X)) <=> (node9(X) | node11(X))), (((node9(X) | node11(X)) | node13(X)) <=> ((node9(X) | node11(X)) | node13(X)))), rewrite(((node9(X) | node11(X)) | node13(X)) <=> (node9(X) | node11(X) | node13(X))), (((node9(X) | node11(X)) | node13(X)) <=> (node9(X) | node11(X) | node13(X)))), ((((node9(X) | node11(X)) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> ((node9(X) | node11(X) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))))), rewrite(((node9(X) | node11(X) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> (node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p0, X, c_idle)))), ((((node9(X) | node11(X)) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> (node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p0, X, c_idle))))), (((((node9(X) | node11(X)) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) <=> ((node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))))), rewrite(((node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) <=> (node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))), (((((node9(X) | node11(X)) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) <=> (node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))))), ((((((node9(X) | node11(X)) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) <=> ((node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))))), rewrite(((node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) <=> (node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))), ((((((node9(X) | node11(X)) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) <=> (node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))))), (((((((node9(X) | node11(X)) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) | node14(X)) <=> ((node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | node14(X)))), rewrite(((node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | node14(X)) <=> (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))), (((((((node9(X) | node11(X)) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) | node14(X)) <=> (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))))),
% 4.59/4.77 inference(bind,[status(th)],[])).
% 4.59/4.77 tff(6534,plain,
% 4.59/4.77 (![X: $i] : ((((((node9(X) | node11(X)) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) | node14(X)) <=> ![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.59/4.77 inference(quant_intro,[status(thm)],[6533])).
% 4.59/4.77 tff(6535,axiom,(![X: $i] : ((((((node9(X) | node11(X)) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) | node14(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_113')).
% 4.59/4.77 tff(6536,plain,
% 4.59/4.77 (![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6535, 6534])).
% 4.59/4.77 tff(6537,plain,
% 4.59/4.77 (![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6536, 6532])).
% 4.59/4.77 tff(6538,plain,(
% 4.59/4.77 ![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.59/4.77 inference(skolemize,[status(sab)],[6537])).
% 4.59/4.77 tff(6539,plain,
% 4.59/4.77 (![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6538, 6531])).
% 4.59/4.77 tff(6540,plain,
% 4.59/4.77 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | node11(s3) | node13(s3) | node14(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s3) | node11(s3) | node13(s3) | node14(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))),
% 4.59/4.77 inference(rewrite,[status(thm)],[])).
% 4.59/4.77 tff(6541,plain,
% 4.59/4.77 ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | node11(s3) | node13(s3) | node14(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))),
% 4.59/4.77 inference(quant_inst,[status(thm)],[])).
% 4.59/4.77 tff(6542,plain,
% 4.59/4.77 ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s3) | node11(s3) | node13(s3) | node14(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle))),
% 4.59/4.77 inference(modus_ponens,[status(thm)],[6541, 6540])).
% 4.59/4.77 tff(6543,plain,
% 4.59/4.77 ($false),
% 4.59/4.77 inference(unit_resolution,[status(thm)],[6542, 6539, 6529, 6367, 6396, 6528, 6527, 6526, 6525])).
% 4.59/4.77 tff(6544,plain,(node14(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | node9(s3) | node11(s3) | node13(s3)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.77 tff(6545,plain,
% 4.59/4.77 ($false),
% 4.59/4.77 inference(unit_resolution,[status(thm)],[6544, 6524, 6510, 6396, 6367, 6499, 6456, 6445])).
% 4.59/4.77 tff(6546,plain,((~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | m_main_v_CMD(s3, c_response) | m_main_v_CMD(s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.77 tff(6547,plain,
% 4.59/4.77 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 4.59/4.77 inference(unit_resolution,[status(thm)],[6546, 6374, 6367, 6366])).
% 4.59/4.77 tff(6548,plain,
% 4.59/4.77 (m_processor_v_master(c_p1, s3)),
% 4.59/4.77 inference(unit_resolution,[status(thm)],[2461, 6547])).
% 4.59/4.77 tff(6549,assumption,(~m_processor_v_REPLY_h_STALL(c_p1, s3)), introduced(assumption)).
% 4.59/4.77 tff(6550,plain,
% 4.59/4.77 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X))))),
% 4.59/4.77 inference(bind,[status(th)],[])).
% 4.59/4.77 tff(6551,plain,
% 4.59/4.77 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))),
% 4.59/4.77 inference(quant_intro,[status(thm)],[6550])).
% 4.59/4.77 tff(6552,plain,
% 4.59/4.77 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))),
% 4.59/4.77 inference(rewrite,[status(thm)],[])).
% 4.59/4.77 tff(6553,plain,
% 4.59/4.77 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node61(I0, X))) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node61(I0, X))))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node61(I0, X))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node61(I0, X))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))))),
% 4.59/4.77 inference(bind,[status(th)],[])).
% 4.59/4.77 tff(6554,plain,
% 4.59/4.77 (![I0: $i, X: $i] : ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node61(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))),
% 4.59/4.78 inference(quant_intro,[status(thm)],[6553])).
% 4.59/4.78 tff(6555,axiom,(![I0: $i, X: $i] : ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node61(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_138')).
% 4.59/4.78 tff(6556,plain,
% 4.59/4.78 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6555, 6554])).
% 4.59/4.78 tff(6557,plain,
% 4.59/4.78 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6556, 6552])).
% 4.59/4.78 tff(6558,plain,(
% 4.59/4.78 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))),
% 4.59/4.78 inference(skolemize,[status(sab)],[6557])).
% 4.59/4.78 tff(6559,plain,
% 4.59/4.78 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6558, 6551])).
% 4.59/4.78 tff(6560,plain,
% 4.59/4.78 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node61(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node61(c_p1, s3)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6561,plain,
% 4.59/4.78 ((m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node61(c_p1, s3))) <=> (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node61(c_p1, s3)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6562,plain,
% 4.59/4.78 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node61(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node61(c_p1, s3))))),
% 4.59/4.78 inference(monotonicity,[status(thm)],[6561])).
% 4.59/4.78 tff(6563,plain,
% 4.59/4.78 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node61(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node61(c_p1, s3)))),
% 4.59/4.78 inference(transitivity,[status(thm)],[6562, 6560])).
% 4.59/4.78 tff(6564,plain,
% 4.59/4.78 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node61(c_p1, s3)))),
% 4.59/4.78 inference(quant_inst,[status(thm)],[])).
% 4.59/4.78 tff(6565,plain,
% 4.59/4.78 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node61(c_p1, s3))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6564, 6563])).
% 4.59/4.78 tff(6566,plain,
% 4.59/4.78 (~node61(c_p1, s3)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6565, 6559, 6355, 6313])).
% 4.59/4.78 tff(6567,assumption,(~node61(c_p1, s3)), introduced(assumption)).
% 4.59/4.78 tff(6568,assumption,(m_processor_v_abort(c_p1, s3)), introduced(assumption)).
% 4.59/4.78 tff(6569,plain,
% 4.59/4.78 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s3)) | m_processor_v_REPLY_h_STALL(c_p1, s3) | node61(c_p1, s3))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s3)) | m_processor_v_REPLY_h_STALL(c_p1, s3) | node61(c_p1, s3))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6570,plain,
% 4.59/4.78 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s3)) | m_processor_v_REPLY_h_STALL(c_p1, s3) | node61(c_p1, s3))),
% 4.59/4.78 inference(quant_inst,[status(thm)],[])).
% 4.59/4.78 tff(6571,plain,
% 4.59/4.78 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s3)) | m_processor_v_REPLY_h_STALL(c_p1, s3) | node61(c_p1, s3)),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6570, 6569])).
% 4.59/4.78 tff(6572,plain,
% 4.59/4.78 ($false),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6571, 4672, 6568, 6549, 6567])).
% 4.59/4.78 tff(6573,plain,((~m_processor_v_abort(c_p1, s3)) | m_processor_v_REPLY_h_STALL(c_p1, s3) | node61(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.78 tff(6574,plain,
% 4.59/4.78 (~m_processor_v_abort(c_p1, s3)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6573, 6566, 6549])).
% 4.59/4.78 tff(6575,plain,
% 4.59/4.78 (node34(c_p1, s3, s4)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[4345, 6574, 6548])).
% 4.59/4.78 tff(6576,plain,
% 4.59/4.78 ($false),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[4368, 1415, 4204, 6575, 6355, 6335, 6320, 6313])).
% 4.59/4.78 tff(6577,plain,((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_REPLY_h_STALL(c_p1, s3) | (~m_processor_v_cmd(c_p0, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.78 tff(6578,plain,
% 4.59/4.78 (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6577, 6293, 6143, 6289])).
% 4.59/4.78 tff(6579,plain,
% 4.59/4.78 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6580,plain,
% 4.59/4.78 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))),
% 4.59/4.78 inference(quant_inst,[status(thm)],[])).
% 4.59/4.78 tff(6581,plain,
% 4.59/4.78 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6580, 6579])).
% 4.59/4.78 tff(6582,plain,
% 4.59/4.78 (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6581, 1749, 2687, 6578])).
% 4.59/4.78 tff(6583,assumption,(node50(c_p0, s3)), introduced(assumption)).
% 4.59/4.78 tff(6584,assumption,(~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)), introduced(assumption)).
% 4.59/4.78 tff(6585,plain,
% 4.59/4.78 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X))) <=> (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X))))),
% 4.59/4.78 inference(bind,[status(th)],[])).
% 4.59/4.78 tff(6586,plain,
% 4.59/4.78 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))),
% 4.59/4.78 inference(quant_intro,[status(thm)],[6585])).
% 4.59/4.78 tff(6587,plain,
% 4.59/4.78 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6588,axiom,(![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_103')).
% 4.59/4.78 tff(6589,plain,
% 4.59/4.78 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6588, 6587])).
% 4.59/4.78 tff(6590,plain,(
% 4.59/4.78 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))),
% 4.59/4.78 inference(skolemize,[status(sab)],[6589])).
% 4.59/4.78 tff(6591,plain,
% 4.59/4.78 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6590, 6586])).
% 4.59/4.78 tff(6592,plain,
% 4.59/4.78 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~node50(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~node50(c_p0, s3)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6593,plain,
% 4.59/4.78 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~node50(c_p0, s3)))),
% 4.59/4.78 inference(quant_inst,[status(thm)],[])).
% 4.59/4.78 tff(6594,plain,
% 4.59/4.78 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~node50(c_p0, s3))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6593, 6592])).
% 4.59/4.78 tff(6595,plain,
% 4.59/4.78 ($false),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6594, 6591, 6584, 6583])).
% 4.59/4.78 tff(6596,plain,((~node50(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.78 tff(6597,plain,
% 4.59/4.78 (~node50(c_p0, s3)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6596, 6582])).
% 4.59/4.78 tff(6598,assumption,(~node50(c_p0, s3)), introduced(assumption)).
% 4.59/4.78 tff(6599,assumption,(~node47(c_p0, s3)), introduced(assumption)).
% 4.59/4.78 tff(6600,assumption,(~node48(c_p0, s3)), introduced(assumption)).
% 4.59/4.78 tff(6601,assumption,(node61(c_p1, s3)), introduced(assumption)).
% 4.59/4.78 tff(6602,assumption,(m_main_v_CMD(s3, c_response)), introduced(assumption)).
% 4.59/4.78 tff(6603,plain,
% 4.59/4.78 (^[X: $i] : refl(((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response))) <=> ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response))))),
% 4.59/4.78 inference(bind,[status(th)],[])).
% 4.59/4.78 tff(6604,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))),
% 4.59/4.78 inference(quant_intro,[status(thm)],[6603])).
% 4.59/4.78 tff(6605,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6606,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_22')).
% 4.59/4.78 tff(6607,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6606, 6605])).
% 4.59/4.78 tff(6608,plain,(
% 4.59/4.78 ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))),
% 4.59/4.78 inference(skolemize,[status(sab)],[6607])).
% 4.59/4.78 tff(6609,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6608, 6604])).
% 4.59/4.78 tff(6610,plain,
% 4.59/4.78 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_response)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6611,plain,
% 4.59/4.78 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_response)))),
% 4.59/4.78 inference(quant_inst,[status(thm)],[])).
% 4.59/4.78 tff(6612,plain,
% 4.59/4.78 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_response))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6611, 6610])).
% 4.59/4.78 tff(6613,plain,
% 4.59/4.78 ($false),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6612, 6609, 2683, 6602])).
% 4.59/4.78 tff(6614,plain,((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.78 tff(6615,plain,
% 4.59/4.78 (~m_main_v_CMD(s3, c_read_h_owned)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6614, 6602])).
% 4.59/4.78 tff(6616,plain,
% 4.59/4.78 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6354, 6615])).
% 4.59/4.78 tff(6617,plain,
% 4.59/4.78 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6565, 6559, 6601])).
% 4.59/4.78 tff(6618,plain,
% 4.59/4.78 (m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6617, 6616])).
% 4.59/4.78 tff(6619,plain,
% 4.59/4.78 (^[X: $i] : refl(((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response))) <=> ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response))))),
% 4.59/4.78 inference(bind,[status(th)],[])).
% 4.59/4.78 tff(6620,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 4.59/4.78 inference(quant_intro,[status(thm)],[6619])).
% 4.59/4.78 tff(6621,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6622,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_16')).
% 4.59/4.78 tff(6623,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6622, 6621])).
% 4.59/4.78 tff(6624,plain,(
% 4.59/4.78 ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 4.59/4.78 inference(skolemize,[status(sab)],[6623])).
% 4.59/4.78 tff(6625,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6624, 6620])).
% 4.59/4.78 tff(6626,plain,
% 4.59/4.78 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_response)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6627,plain,
% 4.59/4.78 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_response)))),
% 4.59/4.78 inference(quant_inst,[status(thm)],[])).
% 4.59/4.78 tff(6628,plain,
% 4.59/4.78 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_response))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6627, 6626])).
% 4.59/4.78 tff(6629,plain,
% 4.59/4.78 (~m_main_v_CMD(s3, c_read_h_shared)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6628, 6625, 6602])).
% 4.59/4.78 tff(6630,plain,
% 4.59/4.78 ($false),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6312, 675, 6309, 6629, 6618])).
% 4.59/4.78 tff(6631,plain,((~m_main_v_CMD(s3, c_response)) | (~node61(c_p1, s3))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.78 tff(6632,plain,
% 4.59/4.78 (~m_main_v_CMD(s3, c_response)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6631, 6601])).
% 4.59/4.78 tff(6633,plain,
% 4.59/4.78 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_response) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s3, c_response) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_response)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6634,plain,
% 4.59/4.78 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_response) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_response)))),
% 4.59/4.78 inference(quant_inst,[status(thm)],[])).
% 4.59/4.78 tff(6635,plain,
% 4.59/4.78 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s3, c_response) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_response))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6634, 6633])).
% 4.59/4.78 tff(6636,plain,
% 4.59/4.78 (~m_processor_v_CMD(c_p0, s3, c_response)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6635, 1749, 2687, 6632])).
% 4.59/4.78 tff(6637,plain,
% 4.59/4.78 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X))) <=> (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X))))),
% 4.59/4.78 inference(bind,[status(th)],[])).
% 4.59/4.78 tff(6638,plain,
% 4.59/4.78 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))),
% 4.59/4.78 inference(quant_intro,[status(thm)],[6637])).
% 4.59/4.78 tff(6639,plain,
% 4.59/4.78 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6640,axiom,(![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_101')).
% 4.59/4.78 tff(6641,plain,
% 4.59/4.78 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6640, 6639])).
% 4.59/4.78 tff(6642,plain,(
% 4.59/4.78 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))),
% 4.59/4.78 inference(skolemize,[status(sab)],[6641])).
% 4.59/4.78 tff(6643,plain,
% 4.59/4.78 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6642, 6638])).
% 4.59/4.78 tff(6644,plain,
% 4.59/4.78 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_response))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_response))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6645,plain,
% 4.59/4.78 ((m_processor_v_CMD(c_p0, s3, c_response) | (~node49(c_p0, s3))) <=> ((~node49(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_response))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6646,plain,
% 4.59/4.78 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_response) | (~node49(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_response)))),
% 4.59/4.78 inference(monotonicity,[status(thm)],[6645])).
% 4.59/4.78 tff(6647,plain,
% 4.59/4.78 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_response) | (~node49(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_response))),
% 4.59/4.78 inference(transitivity,[status(thm)],[6646, 6644])).
% 4.59/4.78 tff(6648,plain,
% 4.59/4.78 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_response) | (~node49(c_p0, s3)))),
% 4.59/4.78 inference(quant_inst,[status(thm)],[])).
% 4.59/4.78 tff(6649,plain,
% 4.59/4.78 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_response)),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6648, 6647])).
% 4.59/4.78 tff(6650,plain,
% 4.59/4.78 (~node49(c_p0, s3)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6649, 6643, 6636])).
% 4.59/4.78 tff(6651,plain,
% 4.59/4.78 (node51(c_p0, s3)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6216, 6650, 6188, 2368, 6600, 6599, 6598])).
% 4.59/4.78 tff(6652,assumption,(node51(c_p0, s3)), introduced(assumption)).
% 4.59/4.78 tff(6653,assumption,(~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)), introduced(assumption)).
% 4.59/4.78 tff(6654,plain,
% 4.59/4.78 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X))) <=> (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X))))),
% 4.59/4.78 inference(bind,[status(th)],[])).
% 4.59/4.78 tff(6655,plain,
% 4.59/4.78 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))),
% 4.59/4.78 inference(quant_intro,[status(thm)],[6654])).
% 4.59/4.78 tff(6656,plain,
% 4.59/4.78 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6657,axiom,(![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_105')).
% 4.59/4.78 tff(6658,plain,
% 4.59/4.78 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6657, 6656])).
% 4.59/4.78 tff(6659,plain,(
% 4.59/4.78 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))),
% 4.59/4.78 inference(skolemize,[status(sab)],[6658])).
% 4.59/4.78 tff(6660,plain,
% 4.59/4.78 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6659, 6655])).
% 4.59/4.78 tff(6661,plain,
% 4.59/4.78 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | (~node51(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | (~node51(c_p0, s3)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6662,plain,
% 4.59/4.78 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | (~node51(c_p0, s3)))),
% 4.59/4.78 inference(quant_inst,[status(thm)],[])).
% 4.59/4.78 tff(6663,plain,
% 4.59/4.78 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | (~node51(c_p0, s3))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6662, 6661])).
% 4.59/4.78 tff(6664,plain,
% 4.59/4.78 ($false),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6663, 6660, 6653, 6652])).
% 4.59/4.78 tff(6665,plain,((~node51(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.78 tff(6666,plain,
% 4.59/4.78 (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6665, 6651])).
% 4.59/4.78 tff(6667,assumption,(m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)), introduced(assumption)).
% 4.59/4.78 tff(6668,assumption,(~m_main_v_CMD(s3, c_write_h_resp_h_shared)), introduced(assumption)).
% 4.59/4.78 tff(6669,plain,
% 4.59/4.78 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6670,plain,
% 4.59/4.78 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)))),
% 4.59/4.78 inference(quant_inst,[status(thm)],[])).
% 4.59/4.78 tff(6671,plain,
% 4.59/4.78 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6670, 6669])).
% 4.59/4.78 tff(6672,plain,
% 4.59/4.78 ($false),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6671, 1749, 2687, 6668, 6667])).
% 4.59/4.78 tff(6673,plain,(m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.78 tff(6674,plain,
% 4.59/4.78 (m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6673, 6666])).
% 4.59/4.78 tff(6675,assumption,(m_main_v_CMD(s3, c_write_h_resp_h_shared)), introduced(assumption)).
% 4.59/4.78 tff(6676,plain,
% 4.59/4.78 (^[X: $i] : refl(((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))))),
% 4.59/4.78 inference(bind,[status(th)],[])).
% 4.59/4.78 tff(6677,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.59/4.78 inference(quant_intro,[status(thm)],[6676])).
% 4.59/4.78 tff(6678,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6679,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_20')).
% 4.59/4.78 tff(6680,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6679, 6678])).
% 4.59/4.78 tff(6681,plain,(
% 4.59/4.78 ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.59/4.78 inference(skolemize,[status(sab)],[6680])).
% 4.59/4.78 tff(6682,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6681, 6677])).
% 4.59/4.78 tff(6683,plain,
% 4.59/4.78 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6684,plain,
% 4.59/4.78 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 4.59/4.78 inference(quant_inst,[status(thm)],[])).
% 4.59/4.78 tff(6685,plain,
% 4.59/4.78 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6684, 6683])).
% 4.59/4.78 tff(6686,plain,
% 4.59/4.78 ($false),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6685, 6682, 2683, 6675])).
% 4.59/4.78 tff(6687,plain,((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s3, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.78 tff(6688,plain,
% 4.59/4.78 (~m_main_v_CMD(s3, c_read_h_owned)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6687, 6674])).
% 4.59/4.78 tff(6689,plain,
% 4.59/4.78 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6354, 6688])).
% 4.59/4.78 tff(6690,plain,
% 4.59/4.78 (m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6617, 6689])).
% 4.59/4.78 tff(6691,plain,
% 4.59/4.78 (m_main_v_CMD(s3, c_read_h_shared)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6312, 675, 6309, 6690])).
% 4.59/4.78 tff(6692,plain,
% 4.59/4.78 (^[X: $i] : refl(((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))))),
% 4.59/4.78 inference(bind,[status(th)],[])).
% 4.59/4.78 tff(6693,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.59/4.78 inference(quant_intro,[status(thm)],[6692])).
% 4.59/4.78 tff(6694,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6695,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_14')).
% 4.59/4.78 tff(6696,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6695, 6694])).
% 4.59/4.78 tff(6697,plain,(
% 4.59/4.78 ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.59/4.78 inference(skolemize,[status(sab)],[6696])).
% 4.59/4.78 tff(6698,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6697, 6693])).
% 4.59/4.78 tff(6699,plain,
% 4.59/4.78 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6700,plain,
% 4.59/4.78 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 4.59/4.78 inference(quant_inst,[status(thm)],[])).
% 4.59/4.78 tff(6701,plain,
% 4.59/4.78 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6700, 6699])).
% 4.59/4.78 tff(6702,plain,
% 4.59/4.78 ($false),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6701, 6698, 6691, 6674])).
% 4.59/4.78 tff(6703,plain,((~node61(c_p1, s3)) | node52(c_p0, s3, s4) | m_processor_v_abort(c_p0, s3) | node48(c_p0, s3) | node47(c_p0, s3) | node50(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.78 tff(6704,plain,
% 4.59/4.78 (~node61(c_p1, s3)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6703, 6597, 6123, 6254, 6243, 6163])).
% 4.59/4.78 tff(6705,plain,
% 4.59/4.78 (~m_processor_v_abort(c_p1, s3)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6573, 6704, 6143])).
% 4.59/4.78 tff(6706,plain,
% 4.59/4.78 (^[I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X)) <=> ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X)))),
% 4.59/4.78 inference(bind,[status(th)],[])).
% 4.59/4.78 tff(6707,plain,
% 4.59/4.78 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))),
% 4.59/4.78 inference(quant_intro,[status(thm)],[6706])).
% 4.59/4.78 tff(6708,plain,
% 4.59/4.78 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6709,plain,
% 4.59/4.78 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_reply_h_owned(I0, X) | m_processor_v_master(I0, X)) <=> (m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))), (((m_processor_v_reply_h_owned(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X)) | (~m_processor_v_state(I0, X, c_owned))))), rewrite(((m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))), (((m_processor_v_reply_h_owned(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))))),
% 4.59/4.78 inference(bind,[status(th)],[])).
% 4.59/4.78 tff(6710,plain,
% 4.59/4.78 (![I0: $i, X: $i] : ((m_processor_v_reply_h_owned(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))),
% 4.59/4.78 inference(quant_intro,[status(thm)],[6709])).
% 4.59/4.78 tff(6711,axiom,(![I0: $i, X: $i] : ((m_processor_v_reply_h_owned(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_128')).
% 4.59/4.78 tff(6712,plain,
% 4.59/4.78 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6711, 6710])).
% 4.59/4.78 tff(6713,plain,
% 4.59/4.78 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6712, 6708])).
% 4.59/4.78 tff(6714,plain,(
% 4.59/4.78 ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))),
% 4.59/4.78 inference(skolemize,[status(sab)],[6713])).
% 4.59/4.78 tff(6715,plain,
% 4.59/4.78 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6714, 6707])).
% 4.59/4.78 tff(6716,plain,
% 4.59/4.78 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_owned(c_p1, s2))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_owned(c_p1, s2))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6717,plain,
% 4.59/4.78 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_owned(c_p1, s2))),
% 4.59/4.78 inference(quant_inst,[status(thm)],[])).
% 4.59/4.78 tff(6718,plain,
% 4.59/4.78 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_owned(c_p1, s2)),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6717, 6716])).
% 4.59/4.78 tff(6719,plain,
% 4.59/4.78 (m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_owned(c_p1, s2)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6718, 6715, 3250])).
% 4.59/4.78 tff(6720,plain,
% 4.59/4.78 (m_processor_v_reply_h_owned(c_p1, s2)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6719, 4191])).
% 4.59/4.78 tff(6721,assumption,(node5(s2)), introduced(assumption)).
% 4.59/4.78 tff(6722,assumption,(m_processor_v_reply_h_owned(c_p1, s2)), introduced(assumption)).
% 4.59/4.78 tff(6723,plain,
% 4.59/4.78 (^[X: $i] : refl(((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X))) <=> ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X))))),
% 4.59/4.78 inference(bind,[status(th)],[])).
% 4.59/4.78 tff(6724,plain,
% 4.59/4.78 (![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X))) <=> ![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))),
% 4.59/4.78 inference(quant_intro,[status(thm)],[6723])).
% 4.59/4.78 tff(6725,plain,
% 4.59/4.78 (![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X))) <=> ![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6726,plain,
% 4.59/4.78 (^[X: $i] : rewrite(((~m_processor_v_reply_h_owned(c_p1, X)) | (~node5(X))) <=> ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X))))),
% 4.59/4.78 inference(bind,[status(th)],[])).
% 4.59/4.78 tff(6727,plain,
% 4.59/4.78 (![X: $i] : ((~m_processor_v_reply_h_owned(c_p1, X)) | (~node5(X))) <=> ![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))),
% 4.59/4.78 inference(quant_intro,[status(thm)],[6726])).
% 4.59/4.78 tff(6728,axiom,(![X: $i] : ((~m_processor_v_reply_h_owned(c_p1, X)) | (~node5(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_75')).
% 4.59/4.78 tff(6729,plain,
% 4.59/4.78 (![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6728, 6727])).
% 4.59/4.78 tff(6730,plain,
% 4.59/4.78 (![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6729, 6725])).
% 4.59/4.78 tff(6731,plain,(
% 4.59/4.78 ![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))),
% 4.59/4.78 inference(skolemize,[status(sab)],[6730])).
% 4.59/4.78 tff(6732,plain,
% 4.59/4.78 (![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6731, 6724])).
% 4.59/4.78 tff(6733,plain,
% 4.59/4.78 (((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | ((~node5(s2)) | (~m_processor_v_reply_h_owned(c_p1, s2)))) <=> ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | (~node5(s2)) | (~m_processor_v_reply_h_owned(c_p1, s2)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6734,plain,
% 4.59/4.78 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | ((~node5(s2)) | (~m_processor_v_reply_h_owned(c_p1, s2)))),
% 4.59/4.78 inference(quant_inst,[status(thm)],[])).
% 4.59/4.78 tff(6735,plain,
% 4.59/4.78 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | (~node5(s2)) | (~m_processor_v_reply_h_owned(c_p1, s2))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6734, 6733])).
% 4.59/4.78 tff(6736,plain,
% 4.59/4.78 ($false),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6735, 6732, 6722, 6721])).
% 4.59/4.78 tff(6737,plain,((~node5(s2)) | (~m_processor_v_reply_h_owned(c_p1, s2))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.78 tff(6738,plain,
% 4.59/4.78 (~node5(s2)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6737, 6720])).
% 4.59/4.78 tff(6739,assumption,(~node5(s2)), introduced(assumption)).
% 4.59/4.78 tff(6740,assumption,(~m_main_v_REPLY_h_OWNED(s2)), introduced(assumption)).
% 4.59/4.78 tff(6741,plain,
% 4.59/4.78 (^[X: $i] : refl((m_main_v_REPLY_h_OWNED(X) | node5(X)) <=> (m_main_v_REPLY_h_OWNED(X) | node5(X)))),
% 4.59/4.78 inference(bind,[status(th)],[])).
% 4.59/4.78 tff(6742,plain,
% 4.59/4.78 (![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X)) <=> ![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))),
% 4.59/4.78 inference(quant_intro,[status(thm)],[6741])).
% 4.59/4.78 tff(6743,plain,
% 4.59/4.78 (![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X)) <=> ![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6744,axiom,(![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_77')).
% 4.59/4.78 tff(6745,plain,
% 4.59/4.78 (![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6744, 6743])).
% 4.59/4.78 tff(6746,plain,(
% 4.59/4.78 ![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))),
% 4.59/4.78 inference(skolemize,[status(sab)],[6745])).
% 4.59/4.78 tff(6747,plain,
% 4.59/4.78 (![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6746, 6742])).
% 4.59/4.78 tff(6748,plain,
% 4.59/4.78 (((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | (m_main_v_REPLY_h_OWNED(s2) | node5(s2))) <=> ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | m_main_v_REPLY_h_OWNED(s2) | node5(s2))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6749,plain,
% 4.59/4.78 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | (m_main_v_REPLY_h_OWNED(s2) | node5(s2))),
% 4.59/4.78 inference(quant_inst,[status(thm)],[])).
% 4.59/4.78 tff(6750,plain,
% 4.59/4.78 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | m_main_v_REPLY_h_OWNED(s2) | node5(s2)),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6749, 6748])).
% 4.59/4.78 tff(6751,plain,
% 4.59/4.78 ($false),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6750, 6747, 6740, 6739])).
% 4.59/4.78 tff(6752,plain,(node5(s2) | m_main_v_REPLY_h_OWNED(s2)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.78 tff(6753,plain,
% 4.59/4.78 (m_main_v_REPLY_h_OWNED(s2)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6752, 6738])).
% 4.59/4.78 tff(6754,assumption,(~m_memory_v_REPLY_h_OWNED(c_m, s2)), introduced(assumption)).
% 4.59/4.78 tff(6755,assumption,(m_main_v_REPLY_h_OWNED(s2)), introduced(assumption)).
% 4.59/4.78 tff(6756,plain,
% 4.59/4.78 (^[X: $i] : refl(((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X)) <=> ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X)))),
% 4.59/4.78 inference(bind,[status(th)],[])).
% 4.59/4.78 tff(6757,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))),
% 4.59/4.78 inference(quant_intro,[status(thm)],[6756])).
% 4.59/4.78 tff(6758,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6759,plain,
% 4.59/4.78 (^[X: $i] : rewrite((m_memory_v_REPLY_h_OWNED(c_m, X) | (~m_main_v_REPLY_h_OWNED(X))) <=> ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X)))),
% 4.59/4.78 inference(bind,[status(th)],[])).
% 4.59/4.78 tff(6760,plain,
% 4.59/4.78 (![X: $i] : (m_memory_v_REPLY_h_OWNED(c_m, X) | (~m_main_v_REPLY_h_OWNED(X))) <=> ![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))),
% 4.59/4.78 inference(quant_intro,[status(thm)],[6759])).
% 4.59/4.78 tff(6761,axiom,(![X: $i] : (m_memory_v_REPLY_h_OWNED(c_m, X) | (~m_main_v_REPLY_h_OWNED(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_41')).
% 4.59/4.78 tff(6762,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6761, 6760])).
% 4.59/4.78 tff(6763,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6762, 6758])).
% 4.59/4.78 tff(6764,plain,(
% 4.59/4.78 ![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))),
% 4.59/4.78 inference(skolemize,[status(sab)],[6763])).
% 4.59/4.78 tff(6765,plain,
% 4.59/4.78 (![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6764, 6757])).
% 4.59/4.78 tff(6766,plain,
% 4.59/4.78 (((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | ((~m_main_v_REPLY_h_OWNED(s2)) | m_memory_v_REPLY_h_OWNED(c_m, s2))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | (~m_main_v_REPLY_h_OWNED(s2)) | m_memory_v_REPLY_h_OWNED(c_m, s2))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6767,plain,
% 4.59/4.78 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | ((~m_main_v_REPLY_h_OWNED(s2)) | m_memory_v_REPLY_h_OWNED(c_m, s2))),
% 4.59/4.78 inference(quant_inst,[status(thm)],[])).
% 4.59/4.78 tff(6768,plain,
% 4.59/4.78 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | (~m_main_v_REPLY_h_OWNED(s2)) | m_memory_v_REPLY_h_OWNED(c_m, s2)),
% 4.59/4.78 inference(modus_ponens,[status(thm)],[6767, 6766])).
% 4.59/4.78 tff(6769,plain,
% 4.59/4.78 ($false),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6768, 6765, 6755, 6754])).
% 4.59/4.78 tff(6770,plain,(m_memory_v_REPLY_h_OWNED(c_m, s2) | (~m_main_v_REPLY_h_OWNED(s2))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.78 tff(6771,plain,
% 4.59/4.78 (m_memory_v_REPLY_h_OWNED(c_m, s2)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[6770, 6753])).
% 4.59/4.78 tff(6772,plain,
% 4.59/4.78 (~m_processor_v_state(c_p1, s2, c_shared)),
% 4.59/4.78 inference(unit_resolution,[status(thm)],[4867, 1373, 3250])).
% 4.59/4.78 tff(6773,plain,
% 4.59/4.78 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s2, c_shared) | (~node36(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s2, c_shared) | (~node36(c_p1, s2)))),
% 4.59/4.78 inference(rewrite,[status(thm)],[])).
% 4.59/4.78 tff(6774,plain,
% 4.59/4.78 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s2, c_shared) | (~node36(c_p1, s2)))),
% 4.59/4.78 inference(quant_inst,[status(thm)],[])).
% 4.59/4.78 tff(6775,plain,
% 4.59/4.78 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s2, c_shared) | (~node36(c_p1, s2))),
% 4.59/4.79 inference(modus_ponens,[status(thm)],[6774, 6773])).
% 4.59/4.79 tff(6776,plain,
% 4.59/4.79 (~node36(c_p1, s2)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6775, 118, 1770])).
% 4.59/4.79 tff(6777,assumption,(node32(c_p1, s2, s3)), introduced(assumption)).
% 4.59/4.79 tff(6778,plain,
% 4.59/4.79 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~node32(c_p1, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~node32(c_p1, s2, s3)))),
% 4.59/4.79 inference(rewrite,[status(thm)],[])).
% 4.59/4.79 tff(6779,plain,
% 4.59/4.79 (((~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared))) <=> (m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~node32(c_p1, s2, s3)))),
% 4.59/4.79 inference(rewrite,[status(thm)],[])).
% 4.59/4.79 tff(6780,plain,
% 4.59/4.79 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~node32(c_p1, s2, s3))))),
% 4.59/4.79 inference(monotonicity,[status(thm)],[6779])).
% 4.59/4.79 tff(6781,plain,
% 4.59/4.79 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~node32(c_p1, s2, s3)))),
% 4.59/4.79 inference(transitivity,[status(thm)],[6780, 6778])).
% 4.59/4.79 tff(6782,plain,
% 4.59/4.79 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared)))),
% 4.59/4.79 inference(quant_inst,[status(thm)],[])).
% 4.59/4.79 tff(6783,plain,
% 4.59/4.79 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~node32(c_p1, s2, s3))),
% 4.59/4.79 inference(modus_ponens,[status(thm)],[6782, 6781])).
% 4.59/4.79 tff(6784,plain,
% 4.59/4.79 ($false),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6783, 3187, 1770, 4205, 6777])).
% 4.59/4.79 tff(6785,plain,((~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.79 tff(6786,plain,
% 4.59/4.79 (~node32(c_p1, s2, s3)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6785, 4205, 1770])).
% 4.59/4.79 tff(6787,plain,
% 4.59/4.79 (~m_processor_v_abort(c_p1, s2)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[4458, 6786])).
% 4.59/4.79 tff(6788,plain,
% 4.59/4.79 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s2, c_shared) | node36(c_p1, s2) | node37(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s2, c_shared) | node36(c_p1, s2) | node37(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))),
% 4.59/4.79 inference(rewrite,[status(thm)],[])).
% 4.59/4.79 tff(6789,plain,
% 4.59/4.79 ((m_processor_v_state(c_p1, s2, c_shared) | node36(c_p1, s2) | m_processor_v_master(c_p1, s2) | node37(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2)) <=> (m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s2, c_shared) | node36(c_p1, s2) | node37(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))),
% 4.59/4.79 inference(rewrite,[status(thm)],[])).
% 4.59/4.79 tff(6790,plain,
% 4.59/4.79 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s2, c_shared) | node36(c_p1, s2) | m_processor_v_master(c_p1, s2) | node37(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s2, c_shared) | node36(c_p1, s2) | node37(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2)))),
% 4.59/4.79 inference(monotonicity,[status(thm)],[6789])).
% 4.59/4.79 tff(6791,plain,
% 4.59/4.79 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s2, c_shared) | node36(c_p1, s2) | m_processor_v_master(c_p1, s2) | node37(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s2, c_shared) | node36(c_p1, s2) | node37(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))),
% 4.59/4.79 inference(transitivity,[status(thm)],[6790, 6788])).
% 4.59/4.79 tff(6792,plain,
% 4.59/4.79 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s2, c_shared) | node36(c_p1, s2) | m_processor_v_master(c_p1, s2) | node37(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))),
% 4.59/4.79 inference(quant_inst,[status(thm)],[])).
% 4.59/4.79 tff(6793,plain,
% 4.59/4.79 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s2, c_shared) | node36(c_p1, s2) | node37(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2)),
% 4.59/4.79 inference(modus_ponens,[status(thm)],[6792, 6791])).
% 4.59/4.79 tff(6794,plain,
% 4.59/4.79 (m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s2, c_shared) | node36(c_p1, s2) | node37(c_p1, s2, s3) | m_processor_v_abort(c_p1, s2)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6793, 134, 4417])).
% 4.59/4.79 tff(6795,plain,
% 4.59/4.79 (node37(c_p1, s2, s3)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6794, 6787, 1770, 2, 6776])).
% 4.59/4.79 tff(6796,plain,
% 4.59/4.79 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~node37(c_p1, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~node37(c_p1, s2, s3)))),
% 4.59/4.79 inference(rewrite,[status(thm)],[])).
% 4.59/4.79 tff(6797,plain,
% 4.59/4.79 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~node37(c_p1, s2, s3)))),
% 4.59/4.79 inference(quant_inst,[status(thm)],[])).
% 4.59/4.79 tff(6798,plain,
% 4.59/4.79 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~node37(c_p1, s2, s3))),
% 4.59/4.79 inference(modus_ponens,[status(thm)],[6797, 6796])).
% 4.59/4.79 tff(6799,plain,
% 4.59/4.79 ($false),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6798, 1612, 1770, 6795, 4205])).
% 4.59/4.79 tff(6800,plain,((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_master(c_p1, s2)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.79 tff(6801,plain,
% 4.59/4.79 (~m_processor_v_state(c_p1, s3, c_shared)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6800, 4191, 6772])).
% 4.59/4.79 tff(6802,plain,
% 4.59/4.79 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | (~node37(c_p1, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | (~node37(c_p1, s2, s3)))),
% 4.59/4.79 inference(rewrite,[status(thm)],[])).
% 4.59/4.79 tff(6803,plain,
% 4.59/4.79 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | (~node37(c_p1, s2, s3)))),
% 4.59/4.79 inference(quant_inst,[status(thm)],[])).
% 4.59/4.79 tff(6804,plain,
% 4.59/4.79 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | (~node37(c_p1, s2, s3))),
% 4.59/4.79 inference(modus_ponens,[status(thm)],[6803, 6802])).
% 4.59/4.79 tff(6805,plain,
% 4.59/4.79 (~node37(c_p1, s2, s3)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6804, 95, 3250, 4482])).
% 4.59/4.79 tff(6806,plain,
% 4.59/4.79 (~node36(c_p1, s2)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6775, 118, 6772])).
% 4.59/4.79 tff(6807,plain,
% 4.59/4.79 (m_processor_v_abort(c_p1, s2)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6794, 6806, 2, 6772, 6805])).
% 4.59/4.79 tff(6808,plain,
% 4.59/4.79 (node32(c_p1, s2, s3)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[4458, 6807])).
% 4.59/4.79 tff(6809,plain,
% 4.59/4.79 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | (~node32(c_p1, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | (~node32(c_p1, s2, s3)))),
% 4.59/4.79 inference(rewrite,[status(thm)],[])).
% 4.59/4.79 tff(6810,plain,
% 4.59/4.79 (((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned)) <=> ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | (~node32(c_p1, s2, s3)))),
% 4.59/4.79 inference(rewrite,[status(thm)],[])).
% 4.59/4.79 tff(6811,plain,
% 4.59/4.79 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | (~node32(c_p1, s2, s3))))),
% 4.59/4.79 inference(monotonicity,[status(thm)],[6810])).
% 4.59/4.79 tff(6812,plain,
% 4.59/4.79 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | (~node32(c_p1, s2, s3)))),
% 4.59/4.79 inference(transitivity,[status(thm)],[6811, 6809])).
% 4.59/4.79 tff(6813,plain,
% 4.59/4.79 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned))),
% 4.59/4.79 inference(quant_inst,[status(thm)],[])).
% 4.59/4.79 tff(6814,plain,
% 4.59/4.79 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | (~node32(c_p1, s2, s3))),
% 4.59/4.79 inference(modus_ponens,[status(thm)],[6813, 6812])).
% 4.59/4.79 tff(6815,plain,
% 4.59/4.79 ($false),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6814, 28, 3250, 4482, 6808])).
% 4.59/4.79 tff(6816,plain,((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_master(c_p1, s2)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.79 tff(6817,plain,
% 4.59/4.79 (m_processor_v_state(c_p1, s3, c_owned)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6816, 4191, 3250])).
% 4.59/4.79 tff(6818,plain,
% 4.59/4.79 (~m_processor_v_state(c_p1, s3, c_invalid)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[4475, 6817])).
% 4.59/4.79 tff(6819,plain,
% 4.59/4.79 (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6673, 6668])).
% 4.59/4.79 tff(6820,plain,
% 4.59/4.79 (~node51(c_p0, s3)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6665, 6819])).
% 4.59/4.79 tff(6821,plain,
% 4.59/4.79 (node49(c_p0, s3)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6216, 6598, 6163, 6123, 6254, 6243, 6820])).
% 4.59/4.79 tff(6822,plain,
% 4.59/4.79 (m_processor_v_CMD(c_p0, s3, c_response)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6649, 6643, 6821])).
% 4.59/4.79 tff(6823,plain,
% 4.59/4.79 (m_main_v_CMD(s3, c_response)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6635, 1749, 2687, 6822])).
% 4.59/4.79 tff(6824,plain,
% 4.59/4.79 (^[X: $i] : refl(((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response))) <=> ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response))))),
% 4.59/4.79 inference(bind,[status(th)],[])).
% 4.59/4.79 tff(6825,plain,
% 4.59/4.79 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))),
% 4.59/4.79 inference(quant_intro,[status(thm)],[6824])).
% 4.59/4.79 tff(6826,plain,
% 4.59/4.79 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))),
% 4.59/4.79 inference(rewrite,[status(thm)],[])).
% 4.59/4.79 tff(6827,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_27')).
% 4.59/4.79 tff(6828,plain,
% 4.59/4.79 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))),
% 4.59/4.79 inference(modus_ponens,[status(thm)],[6827, 6826])).
% 4.59/4.79 tff(6829,plain,(
% 4.59/4.79 ![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))),
% 4.59/4.79 inference(skolemize,[status(sab)],[6828])).
% 4.59/4.79 tff(6830,plain,
% 4.59/4.79 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))),
% 4.59/4.79 inference(modus_ponens,[status(thm)],[6829, 6825])).
% 4.59/4.79 tff(6831,plain,
% 4.59/4.79 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_invalid)))),
% 4.59/4.79 inference(rewrite,[status(thm)],[])).
% 4.59/4.79 tff(6832,plain,
% 4.59/4.79 (((~m_main_v_CMD(s3, c_write_h_invalid)) | (~m_main_v_CMD(s3, c_response))) <=> ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_invalid)))),
% 4.59/4.79 inference(rewrite,[status(thm)],[])).
% 4.59/4.79 tff(6833,plain,
% 4.59/4.79 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~m_main_v_CMD(s3, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_invalid))))),
% 4.59/4.79 inference(monotonicity,[status(thm)],[6832])).
% 4.59/4.79 tff(6834,plain,
% 4.59/4.79 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~m_main_v_CMD(s3, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_invalid)))),
% 4.59/4.79 inference(transitivity,[status(thm)],[6833, 6831])).
% 4.59/4.79 tff(6835,plain,
% 4.59/4.79 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~m_main_v_CMD(s3, c_response)))),
% 4.59/4.79 inference(quant_inst,[status(thm)],[])).
% 4.59/4.79 tff(6836,plain,
% 4.59/4.79 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_invalid))),
% 4.59/4.79 inference(modus_ponens,[status(thm)],[6835, 6834])).
% 4.59/4.79 tff(6837,plain,
% 4.59/4.79 (~m_main_v_CMD(s3, c_write_h_invalid)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6836, 6830, 6823])).
% 4.59/4.79 tff(6838,assumption,(m_processor_v_cmd(c_p0, s3, c_response)), introduced(assumption)).
% 4.59/4.79 tff(6839,plain,
% 4.59/4.79 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response))))),
% 4.59/4.79 inference(bind,[status(th)],[])).
% 4.59/4.79 tff(6840,plain,
% 4.59/4.79 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.59/4.79 inference(quant_intro,[status(thm)],[6839])).
% 4.59/4.79 tff(6841,plain,
% 4.59/4.79 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.59/4.79 inference(rewrite,[status(thm)],[])).
% 4.59/4.79 tff(6842,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_9')).
% 4.59/4.79 tff(6843,plain,
% 4.59/4.79 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.59/4.79 inference(modus_ponens,[status(thm)],[6842, 6841])).
% 4.59/4.79 tff(6844,plain,(
% 4.59/4.79 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.59/4.79 inference(skolemize,[status(sab)],[6843])).
% 4.59/4.79 tff(6845,plain,
% 4.59/4.79 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 4.59/4.79 inference(modus_ponens,[status(thm)],[6844, 6840])).
% 4.59/4.79 tff(6846,plain,
% 4.59/4.79 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_response)))),
% 4.59/4.79 inference(rewrite,[status(thm)],[])).
% 4.59/4.79 tff(6847,plain,
% 4.59/4.79 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_response)))),
% 4.59/4.79 inference(quant_inst,[status(thm)],[])).
% 4.59/4.79 tff(6848,plain,
% 4.59/4.79 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_response))),
% 4.59/4.79 inference(modus_ponens,[status(thm)],[6847, 6846])).
% 4.59/4.79 tff(6849,plain,
% 4.59/4.79 ($false),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6848, 6845, 6367, 6838])).
% 4.59/4.79 tff(6850,plain,((~m_processor_v_cmd(c_p0, s3, c_response)) | (~m_processor_v_cmd(c_p0, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.79 tff(6851,plain,
% 4.59/4.79 (~m_processor_v_cmd(c_p0, s3, c_response)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6850, 6289])).
% 4.59/4.79 tff(6852,assumption,(~m_processor_v_cmd(c_p0, s3, c_response)), introduced(assumption)).
% 4.59/4.79 tff(6853,plain,
% 4.59/4.79 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s3, c_response)) | (~node12(s3)) | m_processor_v_cmd(c_p0, s3, c_response))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s3, c_response)) | (~node12(s3)) | m_processor_v_cmd(c_p0, s3, c_response))),
% 4.59/4.79 inference(rewrite,[status(thm)],[])).
% 4.59/4.79 tff(6854,plain,
% 4.59/4.79 (((~m_main_v_CMD(s3, c_response)) | m_processor_v_cmd(c_p0, s3, c_response) | (~node12(s3))) <=> ((~m_main_v_CMD(s3, c_response)) | (~node12(s3)) | m_processor_v_cmd(c_p0, s3, c_response))),
% 4.59/4.79 inference(rewrite,[status(thm)],[])).
% 4.59/4.79 tff(6855,plain,
% 4.59/4.79 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s3, c_response)) | m_processor_v_cmd(c_p0, s3, c_response) | (~node12(s3)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s3, c_response)) | (~node12(s3)) | m_processor_v_cmd(c_p0, s3, c_response)))),
% 4.59/4.79 inference(monotonicity,[status(thm)],[6854])).
% 4.59/4.79 tff(6856,plain,
% 4.59/4.79 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s3, c_response)) | m_processor_v_cmd(c_p0, s3, c_response) | (~node12(s3)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s3, c_response)) | (~node12(s3)) | m_processor_v_cmd(c_p0, s3, c_response))),
% 4.59/4.79 inference(transitivity,[status(thm)],[6855, 6853])).
% 4.59/4.79 tff(6857,plain,
% 4.59/4.79 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s3, c_response)) | m_processor_v_cmd(c_p0, s3, c_response) | (~node12(s3)))),
% 4.59/4.79 inference(quant_inst,[status(thm)],[])).
% 4.59/4.79 tff(6858,plain,
% 4.59/4.79 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s3, c_response)) | (~node12(s3)) | m_processor_v_cmd(c_p0, s3, c_response)),
% 4.59/4.79 inference(modus_ponens,[status(thm)],[6857, 6856])).
% 4.59/4.79 tff(6859,plain,
% 4.59/4.79 ($false),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6858, 5782, 6376, 6602, 6852])).
% 4.59/4.79 tff(6860,plain,((~m_main_v_CMD(s3, c_response)) | (~node12(s3)) | m_processor_v_cmd(c_p0, s3, c_response)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.79 tff(6861,plain,
% 4.59/4.79 (~node12(s3)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6860, 6823, 6851])).
% 4.59/4.79 tff(6862,plain,
% 4.59/4.79 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_response)) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_response))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s3, c_response)) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_response))),
% 4.59/4.79 inference(rewrite,[status(thm)],[])).
% 4.59/4.79 tff(6863,plain,
% 4.59/4.79 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_response)) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_response))),
% 4.59/4.79 inference(quant_inst,[status(thm)],[])).
% 4.59/4.79 tff(6864,plain,
% 4.59/4.79 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s3, c_response)) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_response)),
% 4.59/4.79 inference(modus_ponens,[status(thm)],[6863, 6862])).
% 4.59/4.79 tff(6865,plain,
% 4.59/4.79 (~node8(s3)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6864, 1069, 6823, 6851])).
% 4.59/4.79 tff(6866,plain,
% 4.59/4.79 (m_processor_v_reply_h_waiting(c_p0, s3)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[4507, 6232])).
% 4.59/4.79 tff(6867,plain,
% 4.59/4.79 (~node6(s3)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[4288, 6866])).
% 4.59/4.79 tff(6868,plain,
% 4.59/4.79 (m_main_v_REPLY_h_WAITING(s3)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[4296, 6867])).
% 4.59/4.79 tff(6869,plain,
% 4.59/4.79 (m_processor_v_REPLY_h_WAITING(c_p1, s3)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[4314, 6868])).
% 4.59/4.79 tff(6870,plain,
% 4.59/4.79 (~node61(c_p1, s3)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6703, 6598, 6123, 6254, 6243, 6163])).
% 4.59/4.79 tff(6871,plain,
% 4.59/4.79 (~m_processor_v_abort(c_p1, s3)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6573, 6870, 6143])).
% 4.59/4.79 tff(6872,plain,
% 4.59/4.79 (node60(c_p1, s3)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[4322, 6871])).
% 4.59/4.79 tff(6873,assumption,(~node59(c_p1, s3)), introduced(assumption)).
% 4.59/4.79 tff(6874,assumption,(m_processor_v_REPLY_h_WAITING(c_p1, s3)), introduced(assumption)).
% 4.59/4.79 tff(6875,assumption,(node60(c_p1, s3)), introduced(assumption)).
% 4.59/4.79 tff(6876,plain,
% 4.59/4.79 ($false),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[4329, 3889, 6875, 6874, 6873])).
% 4.59/4.79 tff(6877,plain,(node59(c_p1, s3) | (~node60(c_p1, s3)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s3))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.79 tff(6878,plain,
% 4.59/4.79 (node59(c_p1, s3)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6877, 6872, 6869])).
% 4.59/4.79 tff(6879,plain,
% 4.59/4.79 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[4337, 6878])).
% 4.59/4.79 tff(6880,plain,
% 4.59/4.79 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~node3(s3)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~node3(s3)))),
% 4.59/4.79 inference(rewrite,[status(thm)],[])).
% 4.59/4.79 tff(6881,plain,
% 4.59/4.79 (((~m_main_v_CMD(s3, c_read_h_owned)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned)) <=> (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~node3(s3)))),
% 4.59/4.79 inference(rewrite,[status(thm)],[])).
% 4.59/4.79 tff(6882,plain,
% 4.59/4.79 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~node3(s3))))),
% 4.59/4.79 inference(monotonicity,[status(thm)],[6881])).
% 4.59/4.79 tff(6883,plain,
% 4.59/4.79 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~node3(s3)))),
% 4.59/4.79 inference(transitivity,[status(thm)],[6882, 6880])).
% 4.59/4.79 tff(6884,plain,
% 4.59/4.79 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned))),
% 4.59/4.79 inference(quant_inst,[status(thm)],[])).
% 4.59/4.79 tff(6885,plain,
% 4.59/4.79 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~node3(s3))),
% 4.59/4.79 inference(modus_ponens,[status(thm)],[6884, 6883])).
% 4.59/4.79 tff(6886,plain,
% 4.59/4.79 ($false),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6885, 901, 6309, 2683, 4375])).
% 4.59/4.79 tff(6887,plain,(m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~m_main_v_CMD(s3, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.79 tff(6888,plain,
% 4.59/4.79 (~m_main_v_CMD(s3, c_read_h_owned)),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6887, 6879])).
% 4.59/4.79 tff(6889,assumption,(m_processor_v_CMD(c_p0, s3, c_read_h_owned)), introduced(assumption)).
% 4.59/4.79 tff(6890,plain,
% 4.59/4.79 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s3, c_read_h_owned) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))),
% 4.59/4.79 inference(rewrite,[status(thm)],[])).
% 4.59/4.79 tff(6891,plain,
% 4.59/4.79 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))),
% 4.59/4.79 inference(quant_inst,[status(thm)],[])).
% 4.59/4.79 tff(6892,plain,
% 4.59/4.79 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s3, c_read_h_owned) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned))),
% 4.59/4.79 inference(modus_ponens,[status(thm)],[6891, 6890])).
% 4.59/4.79 tff(6893,plain,
% 4.59/4.79 ($false),
% 4.59/4.79 inference(unit_resolution,[status(thm)],[6892, 1749, 2687, 6889, 6349])).
% 4.59/4.79 tff(6894,plain,((~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | m_main_v_CMD(s3, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.80 tff(6895,plain,
% 4.59/4.80 (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[6894, 6888])).
% 4.59/4.80 tff(6896,plain,
% 4.59/4.80 (~m_processor_v_writable(c_p0, s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[3163, 2270, 6075])).
% 4.59/4.80 tff(6897,plain,
% 4.59/4.80 (~node67(s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[3155, 2285, 6896])).
% 4.59/4.80 tff(6898,plain,
% 4.59/4.80 (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[5194, 5185])).
% 4.59/4.80 tff(6899,assumption,(m_processor_v_state(c_p0, s4, c_owned)), introduced(assumption)).
% 4.59/4.80 tff(6900,plain,
% 4.59/4.80 (~m_processor_v_state(c_p0, s4, c_shared)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2309, 1373, 6899])).
% 4.59/4.80 tff(6901,plain,
% 4.59/4.80 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2302, 228, 6899])).
% 4.59/4.80 tff(6902,plain,
% 4.59/4.80 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(6903,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid))),
% 4.59/4.80 inference(quant_inst,[status(thm)],[])).
% 4.59/4.80 tff(6904,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid)),
% 4.59/4.80 inference(modus_ponens,[status(thm)],[6903, 6902])).
% 4.59/4.80 tff(6905,plain,
% 4.59/4.80 (m_processor_v_state(c_p0, s4, c_owned)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[6904, 1780, 2312, 2311])).
% 4.59/4.80 tff(6906,plain,
% 4.59/4.80 (m_processor_v_master(c_p0, s3)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2426, 2247, 2311, 2312])).
% 4.59/4.80 tff(6907,plain,
% 4.59/4.80 (~node32(c_p0, s3, s4)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2580, 2247, 2312, 2311])).
% 4.59/4.80 tff(6908,plain,
% 4.59/4.80 (~m_processor_v_abort(c_p0, s3)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2351, 6907])).
% 4.59/4.80 tff(6909,plain,
% 4.59/4.80 (node34(c_p0, s3, s4)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2589, 6908, 6906])).
% 4.59/4.80 tff(6910,plain,
% 4.59/4.80 (node33(c_p0, s3, s4)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2641, 6909, 2312, 2591, 2311])).
% 4.59/4.80 tff(6911,plain,
% 4.59/4.80 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~node33(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~node33(c_p0, s3, s4)))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(6912,plain,
% 4.59/4.80 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~node33(c_p0, s3, s4)))),
% 4.59/4.80 inference(quant_inst,[status(thm)],[])).
% 4.59/4.80 tff(6913,plain,
% 4.59/4.80 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~node33(c_p0, s3, s4))),
% 4.59/4.80 inference(modus_ponens,[status(thm)],[6912, 6911])).
% 4.59/4.80 tff(6914,plain,
% 4.59/4.80 ($false),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[6913, 1654, 2247, 6910, 6899])).
% 4.59/4.80 tff(6915,plain,(m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.80 tff(6916,plain,
% 4.59/4.80 (m_processor_v_state(c_p0, s3, c_owned)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[6915, 6905, 2312, 2591, 2311])).
% 4.59/4.80 tff(6917,plain,
% 4.59/4.80 (~m_processor_v_state(c_p0, s2, c_shared)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[4144, 6916, 3802, 3702])).
% 4.59/4.80 tff(6918,plain,
% 4.59/4.80 (m_processor_v_state(c_p0, s2, c_invalid)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2222, 6917])).
% 4.59/4.80 tff(6919,assumption,(~node34(c_p0, s3, s4)), introduced(assumption)).
% 4.59/4.80 tff(6920,plain,
% 4.59/4.80 (~m_processor_v_master(c_p0, s3)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2589, 2368, 6919])).
% 4.59/4.80 tff(6921,plain,
% 4.59/4.80 (node35(c_p0, s3)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2375, 2368, 2367, 2311, 6920])).
% 4.59/4.80 tff(6922,plain,
% 4.59/4.80 (~m_processor_v_CMD(c_p0, s3, c_invalidate)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2379, 2031, 6921])).
% 4.59/4.80 tff(6923,plain,
% 4.59/4.80 (node36(c_p0, s3)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2391, 6920, 2367, 2368, 2312, 2311])).
% 4.59/4.80 tff(6924,plain,
% 4.59/4.80 ($false),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2398, 2067, 6923, 2591, 6922])).
% 4.59/4.80 tff(6925,plain,(m_processor_v_abort(c_p0, s3) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid) | node34(c_p0, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.80 tff(6926,plain,
% 4.59/4.80 (m_processor_v_abort(c_p0, s3)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[6925, 2367, 2591, 2312, 2311, 6919])).
% 4.59/4.80 tff(6927,plain,
% 4.59/4.80 (node32(c_p0, s3, s4)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2351, 6926])).
% 4.59/4.80 tff(6928,plain,
% 4.59/4.80 ($false),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2408, 28, 2367, 2312, 6927])).
% 4.59/4.80 tff(6929,plain,((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | node34(c_p0, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.80 tff(6930,plain,
% 4.59/4.80 (~m_processor_v_state(c_p0, s3, c_shared)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[6929, 6919, 2591, 2311, 2312])).
% 4.59/4.80 tff(6931,plain,
% 4.59/4.80 (m_processor_v_state(c_p0, s3, c_invalid)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[3859, 6930, 3801, 3802, 2221, 2000, 2239])).
% 4.59/4.80 tff(6932,plain,
% 4.59/4.80 (~node32(c_p0, s3, s4)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2330, 6931, 2311])).
% 4.59/4.80 tff(6933,plain,
% 4.59/4.80 (~m_processor_v_abort(c_p0, s3)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2351, 6932])).
% 4.59/4.80 tff(6934,plain,
% 4.59/4.80 (~node36(c_p0, s3)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2363, 118, 6930])).
% 4.59/4.80 tff(6935,plain,
% 4.59/4.80 (~m_processor_v_master(c_p0, s3)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2589, 6933, 6919])).
% 4.59/4.80 tff(6936,plain,
% 4.59/4.80 (node37(c_p0, s3, s4)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2359, 6935, 6930, 6934, 6933])).
% 4.59/4.80 tff(6937,plain,
% 4.59/4.80 ($false),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2420, 95, 6931, 6936, 2311])).
% 4.59/4.80 tff(6938,plain,(node34(c_p0, s3, s4) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.80 tff(6939,plain,
% 4.59/4.80 (node34(c_p0, s3, s4)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[6938, 2312, 3801, 3802, 2221, 2000, 2239, 2591, 2311])).
% 4.59/4.80 tff(6940,plain,
% 4.59/4.80 (node33(c_p0, s3, s4)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2641, 6939, 2311, 2591, 2312])).
% 4.59/4.80 tff(6941,plain,
% 4.59/4.80 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2651, 6940, 2311])).
% 4.59/4.80 tff(6942,plain,
% 4.59/4.80 (m_processor_v_state(c_p0, s3, c_shared)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[3859, 6941, 3801, 3802, 2221, 2000, 2239])).
% 4.59/4.80 tff(6943,plain,
% 4.59/4.80 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s3, c_shared)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(6944,plain,
% 4.59/4.80 (((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node33(c_p0, s3, s4))) <=> ((~m_processor_v_state(c_p0, s3, c_shared)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(6945,plain,
% 4.59/4.80 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node33(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared)))),
% 4.59/4.80 inference(monotonicity,[status(thm)],[6944])).
% 4.59/4.80 tff(6946,plain,
% 4.59/4.80 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node33(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s3, c_shared)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared))),
% 4.59/4.80 inference(transitivity,[status(thm)],[6945, 6943])).
% 4.59/4.80 tff(6947,plain,
% 4.59/4.80 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node33(c_p0, s3, s4)))),
% 4.59/4.80 inference(quant_inst,[status(thm)],[])).
% 4.59/4.80 tff(6948,plain,
% 4.59/4.80 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s3, c_shared)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared)),
% 4.59/4.80 inference(modus_ponens,[status(thm)],[6947, 6946])).
% 4.59/4.80 tff(6949,plain,
% 4.59/4.80 ($false),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[6948, 1231, 6942, 2312, 6940])).
% 4.59/4.80 tff(6950,plain,(m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_CMD(c_p0, s3, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.80 tff(6951,plain,
% 4.59/4.80 (m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[6950, 6918, 3802, 2221, 2311, 2591, 2312, 6917])).
% 4.59/4.80 tff(6952,plain,
% 4.59/4.80 (~node37(c_p0, s2, s3)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[3752, 6916, 2221])).
% 4.59/4.80 tff(6953,plain,
% 4.59/4.80 (~node36(c_p0, s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[3756, 118, 6917])).
% 4.59/4.80 tff(6954,plain,
% 4.59/4.80 (m_processor_v_master(c_p0, s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[3764, 6953, 3702, 6952, 6917])).
% 4.59/4.80 tff(6955,plain,
% 4.59/4.80 (node34(c_p0, s2, s3)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[3786, 6954, 3702])).
% 4.59/4.80 tff(6956,plain,
% 4.59/4.80 (~m_processor_v_state(c_p0, s3, c_shared)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[3698, 1373, 6916])).
% 4.59/4.80 tff(6957,plain,
% 4.59/4.80 ($false),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[3796, 1393, 6956, 6955, 6951])).
% 4.59/4.80 tff(6958,plain,(m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_abort(c_p0, s2) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_state(c_p0, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.80 tff(6959,plain,
% 4.59/4.80 ($false),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[6958, 6901, 6900, 2591, 3802, 2221, 3702])).
% 4.59/4.80 tff(6960,plain,((~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_abort(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.80 tff(6961,plain,
% 4.59/4.80 (~m_processor_v_state(c_p0, s4, c_owned)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[6960, 2221, 6898, 2591, 3702])).
% 4.59/4.80 tff(6962,plain,
% 4.59/4.80 (~node56(c_p0, s4)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2298, 6961])).
% 4.59/4.80 tff(6963,plain,
% 4.59/4.80 (~m_processor_v_writable(c_p0, s4)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2809, 6962])).
% 4.59/4.80 tff(6964,plain,
% 4.59/4.80 (~node67(s4)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2813, 2285, 6963])).
% 4.59/4.80 tff(6965,plain,
% 4.59/4.80 (node67(s3)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[3146, 6964, 6897])).
% 4.59/4.80 tff(6966,plain,
% 4.59/4.80 (m_processor_v_writable(c_p0, s3)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2290, 6965])).
% 4.59/4.80 tff(6967,plain,
% 4.59/4.80 (node56(c_p0, s3)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2275, 6966])).
% 4.59/4.80 tff(6968,plain,
% 4.59/4.80 (m_processor_v_state(c_p0, s3, c_owned)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2260, 6967])).
% 4.59/4.80 tff(6969,plain,
% 4.59/4.80 (~m_processor_v_state(c_p0, s4, c_owned)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[6960, 2221, 3802, 2591, 3702])).
% 4.59/4.80 tff(6970,plain,
% 4.59/4.80 (~node56(c_p0, s4)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2298, 6969])).
% 4.59/4.80 tff(6971,plain,
% 4.59/4.80 (~m_processor_v_writable(c_p0, s4)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2809, 6970])).
% 4.59/4.80 tff(6972,plain,
% 4.59/4.80 (~node67(s4)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2813, 2285, 6971])).
% 4.59/4.80 tff(6973,plain,
% 4.59/4.80 (node67(s3)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[3146, 6972, 6897])).
% 4.59/4.80 tff(6974,plain,
% 4.59/4.80 (m_processor_v_writable(c_p0, s3)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2290, 6973])).
% 4.59/4.80 tff(6975,plain,
% 4.59/4.80 (node56(c_p0, s3)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2275, 6974])).
% 4.59/4.80 tff(6976,plain,
% 4.59/4.80 (m_processor_v_state(c_p0, s3, c_owned)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[2260, 6975])).
% 4.59/4.80 tff(6977,plain,
% 4.59/4.80 (~m_processor_v_state(c_p0, s2, c_shared)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[3745, 6976, 3692])).
% 4.59/4.80 tff(6978,plain,
% 4.59/4.80 (~node37(c_p0, s2, s3)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[3752, 6976, 2221])).
% 4.59/4.80 tff(6979,plain,
% 4.59/4.80 (node36(c_p0, s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[3764, 6978, 3702, 3692, 6977])).
% 4.59/4.80 tff(6980,plain,
% 4.59/4.80 ($false),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[3756, 118, 6977, 6979])).
% 4.59/4.80 tff(6981,plain,(m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_abort(c_p0, s2) | m_processor_v_master(c_p0, s2) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.80 tff(6982,plain,
% 4.59/4.80 (m_processor_v_master(c_p0, s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[6981, 2221, 3702, 6898, 2591])).
% 4.59/4.80 tff(6983,plain,
% 4.59/4.80 (node34(c_p0, s2, s3)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[3786, 6982, 3702])).
% 4.59/4.80 tff(6984,plain,
% 4.59/4.80 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s2)) | (~node17(s2)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s2)) | (~node17(s2)))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(6985,plain,
% 4.59/4.80 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s2)) | (~node17(s2)))),
% 4.59/4.80 inference(quant_inst,[status(thm)],[])).
% 4.59/4.80 tff(6986,plain,
% 4.59/4.80 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s2)) | (~node17(s2))),
% 4.59/4.80 inference(modus_ponens,[status(thm)],[6985, 6984])).
% 4.59/4.80 tff(6987,plain,
% 4.59/4.80 (~node17(s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[6986, 1572, 6982])).
% 4.59/4.80 tff(6988,assumption,(~node17(s2)), introduced(assumption)).
% 4.59/4.80 tff(6989,assumption,(m_memory_v_master(c_m, s2)), introduced(assumption)).
% 4.59/4.80 tff(6990,plain,
% 4.59/4.80 (((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s2) | (~m_memory_v_master(c_m, s2)))) <=> ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s2) | (~m_memory_v_master(c_m, s2)))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(6991,plain,
% 4.59/4.80 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s2) | (~m_memory_v_master(c_m, s2)))),
% 4.59/4.80 inference(quant_inst,[status(thm)],[])).
% 4.59/4.80 tff(6992,plain,
% 4.59/4.80 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s2) | (~m_memory_v_master(c_m, s2))),
% 4.59/4.80 inference(modus_ponens,[status(thm)],[6991, 6990])).
% 4.59/4.80 tff(6993,plain,
% 4.59/4.80 ($false),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[6992, 167, 6989, 6988])).
% 4.59/4.80 tff(6994,plain,(node17(s2) | (~m_memory_v_master(c_m, s2))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.80 tff(6995,plain,
% 4.59/4.80 (~m_memory_v_master(c_m, s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[6994, 6987])).
% 4.59/4.80 tff(6996,assumption,(node29(c_m, s2)), introduced(assumption)).
% 4.59/4.80 tff(6997,assumption,(~m_memory_v_master(c_m, s2)), introduced(assumption)).
% 4.59/4.80 tff(6998,plain,
% 4.59/4.80 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s2) | (~node29(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s2) | (~node29(c_m, s2)))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(6999,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s2) | (~node29(c_m, s2)))),
% 4.59/4.80 inference(quant_inst,[status(thm)],[])).
% 4.59/4.80 tff(7000,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s2) | (~node29(c_m, s2))),
% 4.59/4.80 inference(modus_ponens,[status(thm)],[6999, 6998])).
% 4.59/4.80 tff(7001,plain,
% 4.59/4.80 ($false),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7000, 1085, 6997, 6996])).
% 4.59/4.80 tff(7002,plain,((~node29(c_m, s2)) | m_memory_v_master(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.80 tff(7003,plain,
% 4.59/4.80 (~node29(c_m, s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7002, 6995])).
% 4.59/4.80 tff(7004,assumption,(~node29(c_m, s2)), introduced(assumption)).
% 4.59/4.80 tff(7005,assumption,(~m_memory_v_cmd(c_m, s2, c_idle)), introduced(assumption)).
% 4.59/4.80 tff(7006,plain,
% 4.59/4.80 (((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s2) | m_memory_v_cmd(c_m, s2, c_idle))) <=> ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s2) | m_memory_v_cmd(c_m, s2, c_idle))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(7007,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s2) | m_memory_v_cmd(c_m, s2, c_idle))),
% 4.59/4.80 inference(quant_inst,[status(thm)],[])).
% 4.59/4.80 tff(7008,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s2) | m_memory_v_cmd(c_m, s2, c_idle)),
% 4.59/4.80 inference(modus_ponens,[status(thm)],[7007, 7006])).
% 4.59/4.80 tff(7009,plain,
% 4.59/4.80 ($false),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7008, 948, 7005, 7004])).
% 4.59/4.80 tff(7010,plain,(m_memory_v_cmd(c_m, s2, c_idle) | node29(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.80 tff(7011,plain,
% 4.59/4.80 (m_memory_v_cmd(c_m, s2, c_idle)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7010, 7003])).
% 4.59/4.80 tff(7012,assumption,(node16(s2)), introduced(assumption)).
% 4.59/4.80 tff(7013,assumption,(m_processor_v_master(c_p0, s2)), introduced(assumption)).
% 4.59/4.80 tff(7014,plain,
% 4.59/4.80 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s2)) | (~m_processor_v_master(c_p0, s2)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s2)) | (~m_processor_v_master(c_p0, s2)))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(7015,plain,
% 4.59/4.80 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s2)) | (~m_processor_v_master(c_p0, s2)))),
% 4.59/4.80 inference(quant_inst,[status(thm)],[])).
% 4.59/4.80 tff(7016,plain,
% 4.59/4.80 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s2)) | (~m_processor_v_master(c_p0, s2))),
% 4.59/4.80 inference(modus_ponens,[status(thm)],[7015, 7014])).
% 4.59/4.80 tff(7017,plain,
% 4.59/4.80 ($false),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7016, 2472, 7013, 7012])).
% 4.59/4.80 tff(7018,plain,((~m_processor_v_master(c_p0, s2)) | (~node16(s2))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.80 tff(7019,plain,
% 4.59/4.80 (~node16(s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7018, 6982])).
% 4.59/4.80 tff(7020,assumption,(~node16(s2)), introduced(assumption)).
% 4.59/4.80 tff(7021,assumption,(m_processor_v_master(c_p2, s2)), introduced(assumption)).
% 4.59/4.80 tff(7022,plain,
% 4.59/4.80 (((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s2) | (~m_processor_v_master(c_p2, s2)))) <=> ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s2) | (~m_processor_v_master(c_p2, s2)))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(7023,plain,
% 4.59/4.80 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s2) | (~m_processor_v_master(c_p2, s2)))),
% 4.59/4.80 inference(quant_inst,[status(thm)],[])).
% 4.59/4.80 tff(7024,plain,
% 4.59/4.80 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s2) | (~m_processor_v_master(c_p2, s2))),
% 4.59/4.80 inference(modus_ponens,[status(thm)],[7023, 7022])).
% 4.59/4.80 tff(7025,plain,
% 4.59/4.80 ($false),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7024, 710, 7021, 7020])).
% 4.59/4.80 tff(7026,plain,(node16(s2) | (~m_processor_v_master(c_p2, s2))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.80 tff(7027,plain,
% 4.59/4.80 (~m_processor_v_master(c_p2, s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7026, 7019])).
% 4.59/4.80 tff(7028,assumption,(~m_processor_v_cmd(c_p2, s2, c_idle)), introduced(assumption)).
% 4.59/4.80 tff(7029,assumption,(~m_processor_v_master(c_p2, s2)), introduced(assumption)).
% 4.59/4.80 tff(7030,assumption,(node63(c_p2, s2)), introduced(assumption)).
% 4.59/4.80 tff(7031,plain,
% 4.59/4.80 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s2) | (~node63(c_p2, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s2) | (~node63(c_p2, s2)))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(7032,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s2) | (~node63(c_p2, s2)))),
% 4.59/4.80 inference(quant_inst,[status(thm)],[])).
% 4.59/4.80 tff(7033,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s2) | (~node63(c_p2, s2))),
% 4.59/4.80 inference(modus_ponens,[status(thm)],[7032, 7031])).
% 4.59/4.80 tff(7034,plain,
% 4.59/4.80 ($false),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7033, 788, 7030, 7029])).
% 4.59/4.80 tff(7035,plain,((~node63(c_p2, s2)) | m_processor_v_master(c_p2, s2)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.80 tff(7036,plain,
% 4.59/4.80 (~node63(c_p2, s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7035, 7029])).
% 4.59/4.80 tff(7037,assumption,(~node63(c_p2, s2)), introduced(assumption)).
% 4.59/4.80 tff(7038,plain,
% 4.59/4.80 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s2) | (~node64(c_p2, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s2) | (~node64(c_p2, s2)))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(7039,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s2) | (~node64(c_p2, s2)))),
% 4.59/4.80 inference(quant_inst,[status(thm)],[])).
% 4.59/4.80 tff(7040,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s2) | (~node64(c_p2, s2))),
% 4.59/4.80 inference(modus_ponens,[status(thm)],[7039, 7038])).
% 4.59/4.80 tff(7041,plain,
% 4.59/4.80 (~node64(c_p2, s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7040, 726, 7029])).
% 4.59/4.80 tff(7042,plain,
% 4.59/4.80 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s2) | (~node62(c_p2, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s2) | (~node62(c_p2, s2)))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(7043,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s2) | (~node62(c_p2, s2)))),
% 4.59/4.80 inference(quant_inst,[status(thm)],[])).
% 4.59/4.80 tff(7044,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s2) | (~node62(c_p2, s2))),
% 4.59/4.80 inference(modus_ponens,[status(thm)],[7043, 7042])).
% 4.59/4.80 tff(7045,plain,
% 4.59/4.80 (~node62(c_p2, s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7044, 757, 7029])).
% 4.59/4.80 tff(7046,plain,
% 4.59/4.80 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s2) | (~node65(c_p2, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s2) | (~node65(c_p2, s2)))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(7047,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s2) | (~node65(c_p2, s2)))),
% 4.59/4.80 inference(quant_inst,[status(thm)],[])).
% 4.59/4.80 tff(7048,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s2) | (~node65(c_p2, s2))),
% 4.59/4.80 inference(modus_ponens,[status(thm)],[7047, 7046])).
% 4.59/4.80 tff(7049,plain,
% 4.59/4.80 (~node65(c_p2, s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7048, 740, 7029])).
% 4.59/4.80 tff(7050,plain,
% 4.59/4.80 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s2) | (~node66(c_p2, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s2) | (~node66(c_p2, s2)))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(7051,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s2) | (~node66(c_p2, s2)))),
% 4.59/4.80 inference(quant_inst,[status(thm)],[])).
% 4.59/4.80 tff(7052,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s2) | (~node66(c_p2, s2))),
% 4.59/4.80 inference(modus_ponens,[status(thm)],[7051, 7050])).
% 4.59/4.80 tff(7053,plain,
% 4.59/4.80 (~node66(c_p2, s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7052, 801, 7029])).
% 4.59/4.80 tff(7054,assumption,(~node64(c_p2, s2)), introduced(assumption)).
% 4.59/4.80 tff(7055,assumption,(~node62(c_p2, s2)), introduced(assumption)).
% 4.59/4.80 tff(7056,plain,
% 4.59/4.80 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node66(c_p2, s2) | node65(c_p2, s2) | node64(c_p2, s2) | node63(c_p2, s2) | node62(c_p2, s2) | m_processor_v_cmd(c_p2, s2, c_idle))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node66(c_p2, s2) | node65(c_p2, s2) | node64(c_p2, s2) | node63(c_p2, s2) | node62(c_p2, s2) | m_processor_v_cmd(c_p2, s2, c_idle))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(7057,plain,
% 4.59/4.80 ((m_processor_v_cmd(c_p2, s2, c_idle) | node62(c_p2, s2) | node63(c_p2, s2) | node64(c_p2, s2) | node65(c_p2, s2) | node66(c_p2, s2)) <=> (node66(c_p2, s2) | node65(c_p2, s2) | node64(c_p2, s2) | node63(c_p2, s2) | node62(c_p2, s2) | m_processor_v_cmd(c_p2, s2, c_idle))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(7058,plain,
% 4.59/4.80 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s2, c_idle) | node62(c_p2, s2) | node63(c_p2, s2) | node64(c_p2, s2) | node65(c_p2, s2) | node66(c_p2, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node66(c_p2, s2) | node65(c_p2, s2) | node64(c_p2, s2) | node63(c_p2, s2) | node62(c_p2, s2) | m_processor_v_cmd(c_p2, s2, c_idle)))),
% 4.59/4.80 inference(monotonicity,[status(thm)],[7057])).
% 4.59/4.80 tff(7059,plain,
% 4.59/4.80 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s2, c_idle) | node62(c_p2, s2) | node63(c_p2, s2) | node64(c_p2, s2) | node65(c_p2, s2) | node66(c_p2, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node66(c_p2, s2) | node65(c_p2, s2) | node64(c_p2, s2) | node63(c_p2, s2) | node62(c_p2, s2) | m_processor_v_cmd(c_p2, s2, c_idle))),
% 4.59/4.80 inference(transitivity,[status(thm)],[7058, 7056])).
% 4.59/4.80 tff(7060,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s2, c_idle) | node62(c_p2, s2) | node63(c_p2, s2) | node64(c_p2, s2) | node65(c_p2, s2) | node66(c_p2, s2))),
% 4.59/4.80 inference(quant_inst,[status(thm)],[])).
% 4.59/4.80 tff(7061,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node66(c_p2, s2) | node65(c_p2, s2) | node64(c_p2, s2) | node63(c_p2, s2) | node62(c_p2, s2) | m_processor_v_cmd(c_p2, s2, c_idle)),
% 4.59/4.80 inference(modus_ponens,[status(thm)],[7060, 7059])).
% 4.59/4.80 tff(7062,plain,
% 4.59/4.80 ($false),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7061, 773, 7028, 7037, 7055, 7054, 7053, 7049])).
% 4.59/4.80 tff(7063,plain,(m_processor_v_master(c_p2, s2) | m_processor_v_cmd(c_p2, s2, c_idle) | node63(c_p2, s2) | node62(c_p2, s2) | node64(c_p2, s2)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.80 tff(7064,plain,
% 4.59/4.80 ($false),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7063, 7045, 7041, 7037, 7029, 7028])).
% 4.59/4.80 tff(7065,plain,(m_processor_v_master(c_p2, s2) | node63(c_p2, s2) | m_processor_v_cmd(c_p2, s2, c_idle)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.80 tff(7066,plain,
% 4.59/4.80 ($false),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7065, 7036, 7029, 7028])).
% 4.59/4.80 tff(7067,plain,(m_processor_v_master(c_p2, s2) | m_processor_v_cmd(c_p2, s2, c_idle)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.80 tff(7068,plain,
% 4.59/4.80 (m_processor_v_cmd(c_p2, s2, c_idle)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7067, 7027])).
% 4.59/4.80 tff(7069,plain,
% 4.59/4.80 (~m_processor_v_master(c_p1, s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[3951, 815, 6982])).
% 4.59/4.80 tff(7070,plain,
% 4.59/4.80 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node64(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node64(c_p1, s2)))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(7071,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node64(c_p1, s2)))),
% 4.59/4.80 inference(quant_inst,[status(thm)],[])).
% 4.59/4.80 tff(7072,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node64(c_p1, s2))),
% 4.59/4.80 inference(modus_ponens,[status(thm)],[7071, 7070])).
% 4.59/4.80 tff(7073,plain,
% 4.59/4.80 (~node64(c_p1, s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7072, 726, 7069])).
% 4.59/4.80 tff(7074,plain,
% 4.59/4.80 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node65(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node65(c_p1, s2)))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(7075,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node65(c_p1, s2)))),
% 4.59/4.80 inference(quant_inst,[status(thm)],[])).
% 4.59/4.80 tff(7076,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node65(c_p1, s2))),
% 4.59/4.80 inference(modus_ponens,[status(thm)],[7075, 7074])).
% 4.59/4.80 tff(7077,plain,
% 4.59/4.80 (~node65(c_p1, s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7076, 740, 7069])).
% 4.59/4.80 tff(7078,plain,
% 4.59/4.80 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node66(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node66(c_p1, s2)))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(7079,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node66(c_p1, s2)))),
% 4.59/4.80 inference(quant_inst,[status(thm)],[])).
% 4.59/4.80 tff(7080,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node66(c_p1, s2))),
% 4.59/4.80 inference(modus_ponens,[status(thm)],[7079, 7078])).
% 4.59/4.80 tff(7081,plain,
% 4.59/4.80 (~node66(c_p1, s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7080, 801, 7069])).
% 4.59/4.80 tff(7082,plain,
% 4.59/4.80 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node63(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node63(c_p1, s2)))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(7083,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node63(c_p1, s2)))),
% 4.59/4.80 inference(quant_inst,[status(thm)],[])).
% 4.59/4.80 tff(7084,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node63(c_p1, s2))),
% 4.59/4.80 inference(modus_ponens,[status(thm)],[7083, 7082])).
% 4.59/4.80 tff(7085,plain,
% 4.59/4.80 (~node63(c_p1, s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7084, 788, 7069])).
% 4.59/4.80 tff(7086,plain,
% 4.59/4.80 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node62(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node62(c_p1, s2)))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(7087,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node62(c_p1, s2)))),
% 4.59/4.80 inference(quant_inst,[status(thm)],[])).
% 4.59/4.80 tff(7088,plain,
% 4.59/4.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node62(c_p1, s2))),
% 4.59/4.80 inference(modus_ponens,[status(thm)],[7087, 7086])).
% 4.59/4.80 tff(7089,plain,
% 4.59/4.80 (~node62(c_p1, s2)),
% 4.59/4.80 inference(unit_resolution,[status(thm)],[7088, 757, 7069])).
% 4.59/4.80 tff(7090,plain,
% 4.59/4.80 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node63(c_p1, s2) | node62(c_p1, s2) | node64(c_p1, s2) | node65(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_idle) | node66(c_p1, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node63(c_p1, s2) | node62(c_p1, s2) | node64(c_p1, s2) | node65(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_idle) | node66(c_p1, s2))),
% 4.59/4.80 inference(rewrite,[status(thm)],[])).
% 4.59/4.80 tff(7091,plain,
% 4.59/4.80 ((m_processor_v_cmd(c_p1, s2, c_idle) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | node65(c_p1, s2) | node66(c_p1, s2)) <=> (node63(c_p1, s2) | node62(c_p1, s2) | node64(c_p1, s2) | node65(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_idle) | node66(c_p1, s2))),
% 4.59/4.81 inference(rewrite,[status(thm)],[])).
% 4.59/4.81 tff(7092,plain,
% 4.59/4.81 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s2, c_idle) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | node65(c_p1, s2) | node66(c_p1, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node63(c_p1, s2) | node62(c_p1, s2) | node64(c_p1, s2) | node65(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_idle) | node66(c_p1, s2)))),
% 4.59/4.81 inference(monotonicity,[status(thm)],[7091])).
% 4.59/4.81 tff(7093,plain,
% 4.59/4.81 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s2, c_idle) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | node65(c_p1, s2) | node66(c_p1, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node63(c_p1, s2) | node62(c_p1, s2) | node64(c_p1, s2) | node65(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_idle) | node66(c_p1, s2))),
% 4.59/4.81 inference(transitivity,[status(thm)],[7092, 7090])).
% 4.59/4.81 tff(7094,plain,
% 4.59/4.81 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s2, c_idle) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | node65(c_p1, s2) | node66(c_p1, s2))),
% 4.59/4.81 inference(quant_inst,[status(thm)],[])).
% 4.59/4.81 tff(7095,plain,
% 4.59/4.81 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node63(c_p1, s2) | node62(c_p1, s2) | node64(c_p1, s2) | node65(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_idle) | node66(c_p1, s2)),
% 4.59/4.81 inference(modus_ponens,[status(thm)],[7094, 7093])).
% 4.59/4.81 tff(7096,plain,
% 4.59/4.81 (m_processor_v_cmd(c_p1, s2, c_idle)),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[7095, 773, 7089, 7085, 7081, 7077, 7073])).
% 4.59/4.81 tff(7097,assumption,(~node8(s2)), introduced(assumption)).
% 4.59/4.81 tff(7098,assumption,(m_processor_v_cmd(c_p1, s2, c_idle)), introduced(assumption)).
% 4.59/4.81 tff(7099,assumption,(m_memory_v_cmd(c_m, s2, c_idle)), introduced(assumption)).
% 4.59/4.81 tff(7100,assumption,(m_processor_v_cmd(c_p2, s2, c_idle)), introduced(assumption)).
% 4.59/4.81 tff(7101,plain,
% 4.59/4.81 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node8(s2))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node8(s2))),
% 4.59/4.81 inference(rewrite,[status(thm)],[])).
% 4.59/4.81 tff(7102,plain,
% 4.59/4.81 ((node8(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle))) <=> ((~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node8(s2))),
% 4.59/4.81 inference(rewrite,[status(thm)],[])).
% 4.59/4.81 tff(7103,plain,
% 4.59/4.81 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node8(s2)))),
% 4.59/4.81 inference(monotonicity,[status(thm)],[7102])).
% 4.59/4.81 tff(7104,plain,
% 4.59/4.81 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node8(s2))),
% 4.59/4.81 inference(transitivity,[status(thm)],[7103, 7101])).
% 4.59/4.81 tff(7105,plain,
% 4.59/4.81 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)))),
% 4.59/4.81 inference(quant_inst,[status(thm)],[])).
% 4.59/4.81 tff(7106,plain,
% 4.59/4.81 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node8(s2)),
% 4.59/4.81 inference(modus_ponens,[status(thm)],[7105, 7104])).
% 4.59/4.81 tff(7107,plain,
% 4.59/4.81 ($false),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[7106, 1130, 7100, 7099, 7098, 7097])).
% 4.59/4.81 tff(7108,plain,(node8(s2) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.81 tff(7109,plain,
% 4.59/4.81 (node8(s2)),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[7108, 7096, 7068, 7011])).
% 4.59/4.81 tff(7110,assumption,(m_processor_v_cmd(c_p0, s2, c_read_h_owned)), introduced(assumption)).
% 4.59/4.81 tff(7111,assumption,(node8(s2)), introduced(assumption)).
% 4.59/4.81 tff(7112,plain,
% 4.59/4.81 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)) | m_main_v_CMD(s2, c_read_h_owned))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)) | m_main_v_CMD(s2, c_read_h_owned))),
% 4.59/4.81 inference(rewrite,[status(thm)],[])).
% 4.59/4.81 tff(7113,plain,
% 4.59/4.81 ((m_main_v_CMD(s2, c_read_h_owned) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned))) <=> ((~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)) | m_main_v_CMD(s2, c_read_h_owned))),
% 4.59/4.81 inference(rewrite,[status(thm)],[])).
% 4.59/4.81 tff(7114,plain,
% 4.59/4.81 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s2, c_read_h_owned) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)) | m_main_v_CMD(s2, c_read_h_owned)))),
% 4.59/4.81 inference(monotonicity,[status(thm)],[7113])).
% 4.59/4.81 tff(7115,plain,
% 4.59/4.81 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s2, c_read_h_owned) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)) | m_main_v_CMD(s2, c_read_h_owned))),
% 4.59/4.81 inference(transitivity,[status(thm)],[7114, 7112])).
% 4.59/4.81 tff(7116,plain,
% 4.59/4.81 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s2, c_read_h_owned) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)))),
% 4.59/4.81 inference(quant_inst,[status(thm)],[])).
% 4.59/4.81 tff(7117,plain,
% 4.59/4.81 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)) | m_main_v_CMD(s2, c_read_h_owned)),
% 4.59/4.81 inference(modus_ponens,[status(thm)],[7116, 7115])).
% 4.59/4.81 tff(7118,plain,
% 4.59/4.81 ($false),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[7117, 2716, 5185, 7111, 7110])).
% 4.59/4.81 tff(7119,plain,((~m_processor_v_cmd(c_p0, s2, c_read_h_owned)) | m_main_v_CMD(s2, c_read_h_owned) | (~node8(s2))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.81 tff(7120,plain,
% 4.59/4.81 (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[7119, 7109, 5185])).
% 4.59/4.81 tff(7121,assumption,(~m_processor_v_cmd(c_p0, s2, c_read_h_owned)), introduced(assumption)).
% 4.59/4.81 tff(7122,assumption,(~m_processor_v_cmd(c_p0, s2, c_read_h_shared)), introduced(assumption)).
% 4.59/4.81 tff(7123,plain,
% 4.59/4.81 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned) | m_processor_v_cmd(c_p0, s2, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned) | m_processor_v_cmd(c_p0, s2, c_read_h_shared))),
% 4.59/4.81 inference(rewrite,[status(thm)],[])).
% 4.59/4.81 tff(7124,plain,
% 4.59/4.81 ((m_processor_v_cmd(c_p0, s2, c_read_h_owned) | m_processor_v_cmd(c_p0, s2, c_read_h_shared) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_master(c_p0, s2))) <=> ((~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned) | m_processor_v_cmd(c_p0, s2, c_read_h_shared))),
% 4.59/4.81 inference(rewrite,[status(thm)],[])).
% 4.59/4.81 tff(7125,plain,
% 4.59/4.81 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s2, c_read_h_owned) | m_processor_v_cmd(c_p0, s2, c_read_h_shared) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_master(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned) | m_processor_v_cmd(c_p0, s2, c_read_h_shared)))),
% 4.59/4.81 inference(monotonicity,[status(thm)],[7124])).
% 4.59/4.81 tff(7126,plain,
% 4.59/4.81 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s2, c_read_h_owned) | m_processor_v_cmd(c_p0, s2, c_read_h_shared) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_master(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned) | m_processor_v_cmd(c_p0, s2, c_read_h_shared))),
% 4.59/4.81 inference(transitivity,[status(thm)],[7125, 7123])).
% 4.59/4.81 tff(7127,plain,
% 4.59/4.81 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s2, c_read_h_owned) | m_processor_v_cmd(c_p0, s2, c_read_h_shared) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_master(c_p0, s2)))),
% 4.59/4.81 inference(quant_inst,[status(thm)],[])).
% 4.59/4.81 tff(7128,plain,
% 4.59/4.81 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned) | m_processor_v_cmd(c_p0, s2, c_read_h_shared)),
% 4.59/4.81 inference(modus_ponens,[status(thm)],[7127, 7126])).
% 4.59/4.81 tff(7129,plain,
% 4.59/4.81 ((~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned) | m_processor_v_cmd(c_p0, s2, c_read_h_shared)),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[7128, 1029, 7013])).
% 4.59/4.81 tff(7130,plain,
% 4.59/4.81 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[7129, 7121, 7122])).
% 4.59/4.81 tff(7131,plain,
% 4.59/4.81 (m_processor_v_state(c_p0, s2, c_shared)),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[2222, 7130])).
% 4.59/4.81 tff(7132,plain,
% 4.59/4.81 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | ((~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned))),
% 4.59/4.81 inference(rewrite,[status(thm)],[])).
% 4.59/4.81 tff(7133,plain,
% 4.59/4.81 ((m_processor_v_cmd(c_p0, s2, c_read_h_owned) | (~m_processor_v_state(c_p0, s2, c_shared)) | (~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2)) <=> ((~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned))),
% 4.59/4.81 inference(rewrite,[status(thm)],[])).
% 4.59/4.81 tff(7134,plain,
% 4.59/4.81 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s2, c_read_h_owned) | (~m_processor_v_state(c_p0, s2, c_shared)) | (~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | ((~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned)))),
% 4.59/4.81 inference(monotonicity,[status(thm)],[7133])).
% 4.59/4.81 tff(7135,plain,
% 4.59/4.81 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s2, c_read_h_owned) | (~m_processor_v_state(c_p0, s2, c_shared)) | (~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned))),
% 4.59/4.81 inference(transitivity,[status(thm)],[7134, 7132])).
% 4.59/4.81 tff(7136,plain,
% 4.59/4.81 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s2, c_read_h_owned) | (~m_processor_v_state(c_p0, s2, c_shared)) | (~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2))),
% 4.59/4.81 inference(quant_inst,[status(thm)],[])).
% 4.59/4.81 tff(7137,plain,
% 4.59/4.81 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned)),
% 4.59/4.81 inference(modus_ponens,[status(thm)],[7136, 7135])).
% 4.59/4.81 tff(7138,plain,
% 4.59/4.81 (node62(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned)),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[7137, 2674, 7013])).
% 4.59/4.81 tff(7139,plain,
% 4.59/4.81 (node62(c_p0, s2)),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[7138, 7131, 7121])).
% 4.59/4.81 tff(7140,plain,
% 4.59/4.81 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p0, s2, c_invalid) | (~node62(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p0, s2, c_invalid) | (~node62(c_p0, s2)))),
% 4.59/4.81 inference(rewrite,[status(thm)],[])).
% 4.59/4.81 tff(7141,plain,
% 4.59/4.81 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p0, s2, c_invalid) | (~node62(c_p0, s2)))),
% 4.59/4.81 inference(quant_inst,[status(thm)],[])).
% 4.59/4.81 tff(7142,plain,
% 4.59/4.81 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p0, s2, c_invalid) | (~node62(c_p0, s2))),
% 4.59/4.81 inference(modus_ponens,[status(thm)],[7141, 7140])).
% 4.59/4.81 tff(7143,plain,
% 4.59/4.81 ($false),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[7142, 2660, 7130, 7139])).
% 4.59/4.81 tff(7144,plain,(m_processor_v_cmd(c_p0, s2, c_read_h_owned) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_cmd(c_p0, s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.81 tff(7145,plain,
% 4.59/4.81 (m_processor_v_cmd(c_p0, s2, c_read_h_shared)),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[7144, 7120, 2221, 6982])).
% 4.59/4.81 tff(7146,assumption,(m_processor_v_cmd(c_p0, s2, c_read_h_shared)), introduced(assumption)).
% 4.59/4.81 tff(7147,assumption,(~m_main_v_CMD(s2, c_read_h_shared)), introduced(assumption)).
% 4.59/4.81 tff(7148,plain,
% 4.59/4.81 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)) | m_main_v_CMD(s2, c_read_h_shared))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)) | m_main_v_CMD(s2, c_read_h_shared))),
% 4.59/4.81 inference(rewrite,[status(thm)],[])).
% 4.59/4.81 tff(7149,plain,
% 4.59/4.81 ((m_main_v_CMD(s2, c_read_h_shared) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_shared))) <=> ((~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)) | m_main_v_CMD(s2, c_read_h_shared))),
% 4.59/4.81 inference(rewrite,[status(thm)],[])).
% 4.59/4.81 tff(7150,plain,
% 4.59/4.81 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s2, c_read_h_shared) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)) | m_main_v_CMD(s2, c_read_h_shared)))),
% 4.59/4.81 inference(monotonicity,[status(thm)],[7149])).
% 4.59/4.81 tff(7151,plain,
% 4.59/4.81 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s2, c_read_h_shared) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)) | m_main_v_CMD(s2, c_read_h_shared))),
% 4.59/4.81 inference(transitivity,[status(thm)],[7150, 7148])).
% 4.59/4.81 tff(7152,plain,
% 4.59/4.81 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s2, c_read_h_shared) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)))),
% 4.59/4.81 inference(quant_inst,[status(thm)],[])).
% 4.59/4.81 tff(7153,plain,
% 4.59/4.81 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)) | m_main_v_CMD(s2, c_read_h_shared)),
% 4.59/4.81 inference(modus_ponens,[status(thm)],[7152, 7151])).
% 4.59/4.81 tff(7154,plain,
% 4.59/4.81 ($false),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[7153, 2716, 7147, 7111, 7146])).
% 4.59/4.81 tff(7155,plain,((~m_processor_v_cmd(c_p0, s2, c_read_h_shared)) | m_main_v_CMD(s2, c_read_h_shared) | (~node8(s2))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.81 tff(7156,plain,
% 4.59/4.81 (m_main_v_CMD(s2, c_read_h_shared)),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[7155, 7145, 7109])).
% 4.59/4.81 tff(7157,plain,
% 4.59/4.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node2(s2)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node2(s2)))),
% 4.59/4.81 inference(rewrite,[status(thm)],[])).
% 4.59/4.81 tff(7158,plain,
% 4.59/4.81 (((~m_main_v_CMD(s2, c_read_h_shared)) | (~node2(s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared)) <=> (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node2(s2)))),
% 4.59/4.81 inference(rewrite,[status(thm)],[])).
% 4.59/4.81 tff(7159,plain,
% 4.59/4.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node2(s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node2(s2))))),
% 4.59/4.81 inference(monotonicity,[status(thm)],[7158])).
% 4.59/4.81 tff(7160,plain,
% 4.59/4.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node2(s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node2(s2)))),
% 4.59/4.81 inference(transitivity,[status(thm)],[7159, 7157])).
% 4.59/4.81 tff(7161,plain,
% 4.59/4.81 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node2(s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared))),
% 4.59/4.81 inference(quant_inst,[status(thm)],[])).
% 4.59/4.81 tff(7162,plain,
% 4.59/4.81 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node2(s2))),
% 4.59/4.81 inference(modus_ponens,[status(thm)],[7161, 7160])).
% 4.59/4.81 tff(7163,plain,
% 4.59/4.81 (m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[7162, 2697, 5189, 7156])).
% 4.59/4.81 tff(7164,plain,
% 4.59/4.81 (m_processor_v_state(c_p0, s3, c_shared)),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[3798, 7163, 6983])).
% 4.59/4.81 tff(7165,plain,
% 4.59/4.81 ($false),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[3698, 1373, 7164, 6968])).
% 4.59/4.81 tff(7166,plain,(m_processor_v_state(c_p0, s2, c_owned) | m_main_v_CMD(s2, c_read_h_owned) | m_processor_v_abort(c_p0, s2) | m_processor_v_CMD(c_p0, s3, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.81 tff(7167,plain,
% 4.59/4.81 (m_main_v_CMD(s2, c_read_h_owned)),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[7166, 6895, 2221, 5180])).
% 4.59/4.81 tff(7168,plain,
% 4.59/4.81 (m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[5206, 7167])).
% 4.59/4.81 tff(7169,plain,
% 4.59/4.81 (~node30(c_m, s2)),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[5214, 7168])).
% 4.59/4.81 tff(7170,assumption,(~node30(c_m, s2)), introduced(assumption)).
% 4.59/4.81 tff(7171,assumption,(~m_memory_v_reply_h_stall(c_m, s2)), introduced(assumption)).
% 4.59/4.81 tff(7172,assumption,(m_memory_v_busy(c_m, s2)), introduced(assumption)).
% 4.59/4.81 tff(7173,plain,
% 4.59/4.81 ($false),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[5251, 4790, 7172, 7171, 7170])).
% 4.59/4.81 tff(7174,plain,((~m_memory_v_busy(c_m, s2)) | m_memory_v_reply_h_stall(c_m, s2) | node30(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.81 tff(7175,plain,
% 4.59/4.81 (~m_memory_v_busy(c_m, s2)),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[7174, 7169, 5248])).
% 4.59/4.81 tff(7176,assumption,(m_memory_v_REPLY_h_OWNED(c_m, s2)), introduced(assumption)).
% 4.59/4.81 tff(7177,assumption,(node25(c_m, s2)), introduced(assumption)).
% 4.59/4.81 tff(7178,plain,
% 4.59/4.81 (^[I0: $i, X: $i] : refl(((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X))) <=> ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X))))),
% 4.59/4.81 inference(bind,[status(th)],[])).
% 4.59/4.81 tff(7179,plain,
% 4.59/4.81 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))),
% 4.59/4.81 inference(quant_intro,[status(thm)],[7178])).
% 4.59/4.81 tff(7180,plain,
% 4.59/4.81 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))),
% 4.59/4.81 inference(rewrite,[status(thm)],[])).
% 4.59/4.81 tff(7181,axiom,(![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_59')).
% 4.59/4.81 tff(7182,plain,
% 4.59/4.81 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))),
% 4.59/4.81 inference(modus_ponens,[status(thm)],[7181, 7180])).
% 4.59/4.81 tff(7183,plain,(
% 4.59/4.81 ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))),
% 4.59/4.81 inference(skolemize,[status(sab)],[7182])).
% 4.59/4.81 tff(7184,plain,
% 4.59/4.81 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))),
% 4.59/4.81 inference(modus_ponens,[status(thm)],[7183, 7179])).
% 4.59/4.81 tff(7185,plain,
% 4.59/4.81 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s2, c_read_h_owned)) | (~node25(c_m, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned)) | (~node25(c_m, s2)))),
% 4.59/4.81 inference(rewrite,[status(thm)],[])).
% 4.59/4.81 tff(7186,plain,
% 4.59/4.81 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s2, c_read_h_owned)) | (~node25(c_m, s2)))),
% 4.59/4.81 inference(quant_inst,[status(thm)],[])).
% 4.59/4.81 tff(7187,plain,
% 4.59/4.81 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned)) | (~node25(c_m, s2))),
% 4.59/4.81 inference(modus_ponens,[status(thm)],[7186, 7185])).
% 4.59/4.81 tff(7188,plain,
% 4.59/4.81 ($false),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[7187, 7184, 5209, 7177])).
% 4.59/4.81 tff(7189,plain,((~node25(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.81 tff(7190,plain,
% 4.59/4.81 (~node25(c_m, s2)),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[7189, 7168])).
% 4.59/4.81 tff(7191,assumption,(~node25(c_m, s2)), introduced(assumption)).
% 4.59/4.81 tff(7192,assumption,(node26(c_m, s2)), introduced(assumption)).
% 4.59/4.81 tff(7193,plain,
% 4.59/4.81 (^[I0: $i, X: $i] : refl((node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X))) <=> (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X))))),
% 4.59/4.81 inference(bind,[status(th)],[])).
% 4.59/4.81 tff(7194,plain,
% 4.59/4.81 (![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X))) <=> ![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))),
% 4.59/4.81 inference(quant_intro,[status(thm)],[7193])).
% 4.59/4.81 tff(7195,plain,
% 4.59/4.81 (![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X))) <=> ![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))),
% 4.59/4.81 inference(rewrite,[status(thm)],[])).
% 4.59/4.81 tff(7196,plain,
% 4.59/4.81 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((node25(I0, X) | (~m_memory_v_REPLY_h_OWNED(I0, X))) <=> (node25(I0, X) | (~m_memory_v_REPLY_h_OWNED(I0, X)))), (((node25(I0, X) | (~m_memory_v_REPLY_h_OWNED(I0, X))) | (~node26(I0, X))) <=> ((node25(I0, X) | (~m_memory_v_REPLY_h_OWNED(I0, X))) | (~node26(I0, X))))), rewrite(((node25(I0, X) | (~m_memory_v_REPLY_h_OWNED(I0, X))) | (~node26(I0, X))) <=> (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))), (((node25(I0, X) | (~m_memory_v_REPLY_h_OWNED(I0, X))) | (~node26(I0, X))) <=> (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))))),
% 4.59/4.81 inference(bind,[status(th)],[])).
% 4.59/4.81 tff(7197,plain,
% 4.59/4.81 (![I0: $i, X: $i] : ((node25(I0, X) | (~m_memory_v_REPLY_h_OWNED(I0, X))) | (~node26(I0, X))) <=> ![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))),
% 4.59/4.81 inference(quant_intro,[status(thm)],[7196])).
% 4.59/4.81 tff(7198,axiom,(![I0: $i, X: $i] : ((node25(I0, X) | (~m_memory_v_REPLY_h_OWNED(I0, X))) | (~node26(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_62')).
% 4.59/4.81 tff(7199,plain,
% 4.59/4.81 (![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))),
% 4.59/4.81 inference(modus_ponens,[status(thm)],[7198, 7197])).
% 4.59/4.81 tff(7200,plain,
% 4.59/4.81 (![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))),
% 4.59/4.81 inference(modus_ponens,[status(thm)],[7199, 7195])).
% 4.59/4.81 tff(7201,plain,(
% 4.59/4.81 ![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))),
% 4.59/4.81 inference(skolemize,[status(sab)],[7200])).
% 4.59/4.81 tff(7202,plain,
% 4.59/4.81 (![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))),
% 4.59/4.81 inference(modus_ponens,[status(thm)],[7201, 7194])).
% 4.59/4.81 tff(7203,plain,
% 4.59/4.81 (((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (node25(c_m, s2) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)) | (~node26(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | node25(c_m, s2) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)) | (~node26(c_m, s2)))),
% 4.59/4.81 inference(rewrite,[status(thm)],[])).
% 4.59/4.81 tff(7204,plain,
% 4.59/4.81 ((node25(c_m, s2) | (~node26(c_m, s2)) | (~m_memory_v_REPLY_h_OWNED(c_m, s2))) <=> (node25(c_m, s2) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)) | (~node26(c_m, s2)))),
% 4.59/4.81 inference(rewrite,[status(thm)],[])).
% 4.59/4.81 tff(7205,plain,
% 4.59/4.81 (((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (node25(c_m, s2) | (~node26(c_m, s2)) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (node25(c_m, s2) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)) | (~node26(c_m, s2))))),
% 4.59/4.81 inference(monotonicity,[status(thm)],[7204])).
% 4.59/4.81 tff(7206,plain,
% 4.59/4.81 (((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (node25(c_m, s2) | (~node26(c_m, s2)) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | node25(c_m, s2) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)) | (~node26(c_m, s2)))),
% 4.59/4.81 inference(transitivity,[status(thm)],[7205, 7203])).
% 4.59/4.81 tff(7207,plain,
% 4.59/4.81 ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (node25(c_m, s2) | (~node26(c_m, s2)) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)))),
% 4.59/4.81 inference(quant_inst,[status(thm)],[])).
% 4.59/4.81 tff(7208,plain,
% 4.59/4.81 ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | node25(c_m, s2) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)) | (~node26(c_m, s2))),
% 4.59/4.81 inference(modus_ponens,[status(thm)],[7207, 7206])).
% 4.59/4.81 tff(7209,plain,
% 4.59/4.81 ($false),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[7208, 7202, 7192, 7176, 7191])).
% 4.59/4.81 tff(7210,plain,(node25(c_m, s2) | (~node26(c_m, s2)) | (~m_memory_v_REPLY_h_OWNED(c_m, s2))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.81 tff(7211,plain,
% 4.59/4.81 (~node26(c_m, s2)),
% 4.59/4.81 inference(unit_resolution,[status(thm)],[7210, 7190, 7176])).
% 4.59/4.81 tff(7212,assumption,(~m_memory_v_abort(c_m, s2)), introduced(assumption)).
% 4.59/4.81 tff(7213,assumption,(~node26(c_m, s2)), introduced(assumption)).
% 4.59/4.81 tff(7214,plain,
% 4.59/4.81 (^[I0: $i, X: $i] : refl((m_memory_v_abort(I0, X) | node26(I0, X)) <=> (m_memory_v_abort(I0, X) | node26(I0, X)))),
% 4.59/4.81 inference(bind,[status(th)],[])).
% 4.59/4.81 tff(7215,plain,
% 4.59/4.81 (![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X)) <=> ![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))),
% 4.59/4.81 inference(quant_intro,[status(thm)],[7214])).
% 4.59/4.81 tff(7216,plain,
% 4.59/4.81 (![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X)) <=> ![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))),
% 4.59/4.81 inference(rewrite,[status(thm)],[])).
% 4.59/4.81 tff(7217,axiom,(![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_67')).
% 4.59/4.82 tff(7218,plain,
% 4.59/4.82 (![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))),
% 4.59/4.82 inference(modus_ponens,[status(thm)],[7217, 7216])).
% 4.59/4.82 tff(7219,plain,(
% 4.59/4.82 ![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))),
% 4.59/4.82 inference(skolemize,[status(sab)],[7218])).
% 4.59/4.82 tff(7220,plain,
% 4.59/4.82 (![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))),
% 4.59/4.82 inference(modus_ponens,[status(thm)],[7219, 7215])).
% 4.59/4.82 tff(7221,plain,
% 4.59/4.82 (((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | (m_memory_v_abort(c_m, s2) | node26(c_m, s2))) <=> ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | m_memory_v_abort(c_m, s2) | node26(c_m, s2))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7222,plain,
% 4.59/4.82 ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | (m_memory_v_abort(c_m, s2) | node26(c_m, s2))),
% 4.59/4.82 inference(quant_inst,[status(thm)],[])).
% 4.59/4.82 tff(7223,plain,
% 4.59/4.82 ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | m_memory_v_abort(c_m, s2) | node26(c_m, s2)),
% 4.59/4.82 inference(modus_ponens,[status(thm)],[7222, 7221])).
% 4.59/4.82 tff(7224,plain,
% 4.59/4.82 ($false),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7223, 7220, 7213, 7212])).
% 4.59/4.82 tff(7225,plain,(m_memory_v_abort(c_m, s2) | node26(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.82 tff(7226,plain,
% 4.59/4.82 (m_memory_v_abort(c_m, s2)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7225, 7211])).
% 4.59/4.82 tff(7227,plain,
% 4.59/4.82 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s2, s3)) | node23(c_m, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s2, s3)) | node23(c_m, s2, s3))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7228,plain,
% 4.59/4.82 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s2, s3)) | node23(c_m, s2, s3))),
% 4.59/4.82 inference(quant_inst,[status(thm)],[])).
% 4.59/4.82 tff(7229,plain,
% 4.59/4.82 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s2, s3)) | node23(c_m, s2, s3)),
% 4.59/4.82 inference(modus_ponens,[status(thm)],[7228, 7227])).
% 4.59/4.82 tff(7230,plain,
% 4.59/4.82 (node23(c_m, s2, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7229, 196, 3677])).
% 4.59/4.82 tff(7231,plain,
% 4.59/4.82 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s2, s3) | (~node23(c_m, s2, s3)) | (~m_memory_v_abort(c_m, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | node18(c_m, s2, s3) | (~node23(c_m, s2, s3)) | (~m_memory_v_abort(c_m, s2)))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7232,plain,
% 4.59/4.82 ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s2, s3) | (~node23(c_m, s2, s3)) | (~m_memory_v_abort(c_m, s2)))),
% 4.59/4.82 inference(quant_inst,[status(thm)],[])).
% 4.59/4.82 tff(7233,plain,
% 4.59/4.82 ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | node18(c_m, s2, s3) | (~node23(c_m, s2, s3)) | (~m_memory_v_abort(c_m, s2))),
% 4.59/4.82 inference(modus_ponens,[status(thm)],[7232, 7231])).
% 4.59/4.82 tff(7234,plain,
% 4.59/4.82 (node18(c_m, s2, s3) | (~m_memory_v_abort(c_m, s2))),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7233, 5359, 7230])).
% 4.59/4.82 tff(7235,plain,
% 4.59/4.82 (node18(c_m, s2, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7234, 7226])).
% 4.59/4.82 tff(7236,plain,
% 4.59/4.82 (^[Y: $i, I0: $i, X: $i] : refl(((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y))) <=> ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y))))),
% 4.59/4.82 inference(bind,[status(th)],[])).
% 4.59/4.82 tff(7237,plain,
% 4.59/4.82 (![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))),
% 4.59/4.82 inference(quant_intro,[status(thm)],[7236])).
% 4.59/4.82 tff(7238,plain,
% 4.59/4.82 (![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7239,plain,
% 4.59/4.82 (^[Y: $i, I0: $i, X: $i] : rewrite((((~m_memory_v_busy(I0, Y)) | m_memory_v_busy(I0, X)) | (~node18(I0, X, Y))) <=> ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y))))),
% 4.59/4.82 inference(bind,[status(th)],[])).
% 4.59/4.82 tff(7240,plain,
% 4.59/4.82 (![Y: $i, I0: $i, X: $i] : (((~m_memory_v_busy(I0, Y)) | m_memory_v_busy(I0, X)) | (~node18(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))),
% 4.59/4.82 inference(quant_intro,[status(thm)],[7239])).
% 4.59/4.82 tff(7241,axiom,(![Y: $i, I0: $i, X: $i] : (((~m_memory_v_busy(I0, Y)) | m_memory_v_busy(I0, X)) | (~node18(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_40')).
% 4.59/4.82 tff(7242,plain,
% 4.59/4.82 (![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))),
% 4.59/4.82 inference(modus_ponens,[status(thm)],[7241, 7240])).
% 4.59/4.82 tff(7243,plain,
% 4.59/4.82 (![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))),
% 4.59/4.82 inference(modus_ponens,[status(thm)],[7242, 7238])).
% 4.59/4.82 tff(7244,plain,(
% 4.59/4.82 ![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))),
% 4.59/4.82 inference(skolemize,[status(sab)],[7243])).
% 4.59/4.82 tff(7245,plain,
% 4.59/4.82 (![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))),
% 4.59/4.82 inference(modus_ponens,[status(thm)],[7244, 7237])).
% 4.59/4.82 tff(7246,plain,
% 4.59/4.82 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | (m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)) | (~node18(c_m, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)) | (~node18(c_m, s2, s3)))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7247,plain,
% 4.59/4.82 (((~node18(c_m, s2, s3)) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3))) <=> (m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)) | (~node18(c_m, s2, s3)))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7248,plain,
% 4.59/4.82 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s2, s3)) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | (m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)) | (~node18(c_m, s2, s3))))),
% 4.59/4.82 inference(monotonicity,[status(thm)],[7247])).
% 4.59/4.82 tff(7249,plain,
% 4.59/4.82 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s2, s3)) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)) | (~node18(c_m, s2, s3)))),
% 4.59/4.82 inference(transitivity,[status(thm)],[7248, 7246])).
% 4.59/4.82 tff(7250,plain,
% 4.59/4.82 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s2, s3)) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)))),
% 4.59/4.82 inference(quant_inst,[status(thm)],[])).
% 4.59/4.82 tff(7251,plain,
% 4.59/4.82 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)) | (~node18(c_m, s2, s3))),
% 4.59/4.82 inference(modus_ponens,[status(thm)],[7250, 7249])).
% 4.59/4.82 tff(7252,plain,
% 4.59/4.82 (m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3))),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7251, 7245, 7235])).
% 4.59/4.82 tff(7253,plain,
% 4.59/4.82 (~m_memory_v_busy(c_m, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7252, 7175])).
% 4.59/4.82 tff(7254,assumption,(~m_memory_v_busy(c_m, s3)), introduced(assumption)).
% 4.59/4.82 tff(7255,plain,
% 4.59/4.82 ($false),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[6461, 930, 2554, 7254])).
% 4.59/4.82 tff(7256,plain,(m_memory_v_busy(c_m, s3) | (~node29(c_m, s3))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.82 tff(7257,plain,
% 4.59/4.82 (~node29(c_m, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7256, 7253])).
% 4.59/4.82 tff(7258,plain,
% 4.59/4.82 (m_memory_v_cmd(c_m, s3, c_idle)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[2568, 7257])).
% 4.59/4.82 tff(7259,plain,
% 4.59/4.82 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[6430, 7258, 6289, 6865, 6861])).
% 4.59/4.82 tff(7260,plain,
% 4.59/4.82 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s3, c_shared) | (~node63(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s3, c_shared) | (~node63(c_p0, s3)))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7261,plain,
% 4.59/4.82 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s3, c_shared) | (~node63(c_p0, s3)))),
% 4.59/4.82 inference(quant_inst,[status(thm)],[])).
% 4.59/4.82 tff(7262,plain,
% 4.59/4.82 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s3, c_shared) | (~node63(c_p0, s3))),
% 4.59/4.82 inference(modus_ponens,[status(thm)],[7261, 7260])).
% 4.59/4.82 tff(7263,plain,
% 4.59/4.82 (~node63(c_p0, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7262, 836, 3788])).
% 4.59/4.82 tff(7264,plain,
% 4.59/4.82 (~node62(c_p0, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[2663, 2660, 3691])).
% 4.59/4.82 tff(7265,plain,
% 4.59/4.82 (m_processor_v_master(c_p1, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[2461, 2445])).
% 4.59/4.82 tff(7266,plain,
% 4.59/4.82 (~m_processor_v_master(c_p0, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[2430, 815, 7265])).
% 4.59/4.82 tff(7267,plain,
% 4.59/4.82 (~node66(c_p0, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[6266, 801, 7266])).
% 4.59/4.82 tff(7268,plain,
% 4.59/4.82 (~node65(c_p0, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[6271, 740, 7266])).
% 4.59/4.82 tff(7269,plain,
% 4.59/4.82 (~node64(c_p0, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[6275, 726, 7266])).
% 4.59/4.82 tff(7270,plain,
% 4.59/4.82 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[6284, 7269, 7268, 6268, 7267])).
% 4.59/4.82 tff(7271,assumption,(node9(s3)), introduced(assumption)).
% 4.59/4.82 tff(7272,plain,
% 4.59/4.82 (((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s3, c_idle) | (~node9(s3)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s3, c_idle) | (~node9(s3)))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7273,plain,
% 4.59/4.82 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s3, c_idle) | (~node9(s3)))),
% 4.59/4.82 inference(quant_inst,[status(thm)],[])).
% 4.59/4.82 tff(7274,plain,
% 4.59/4.82 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s3, c_idle) | (~node9(s3))),
% 4.59/4.82 inference(modus_ponens,[status(thm)],[7273, 7272])).
% 4.59/4.82 tff(7275,plain,
% 4.59/4.82 ($false),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7274, 976, 2445, 7271])).
% 4.59/4.82 tff(7276,plain,(m_processor_v_cmd(c_p1, s3, c_idle) | (~node9(s3))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.82 tff(7277,plain,
% 4.59/4.82 (~node9(s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7276, 2445])).
% 4.59/4.82 tff(7278,assumption,(~node10(s3)), introduced(assumption)).
% 4.59/4.82 tff(7279,plain,
% 4.59/4.82 (((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s3)) | (~node17(s3)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s3)) | (~node17(s3)))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7280,plain,
% 4.59/4.82 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s3)) | (~node17(s3)))),
% 4.59/4.82 inference(quant_inst,[status(thm)],[])).
% 4.59/4.82 tff(7281,plain,
% 4.59/4.82 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s3)) | (~node17(s3))),
% 4.59/4.82 inference(modus_ponens,[status(thm)],[7280, 7279])).
% 4.59/4.82 tff(7282,plain,
% 4.59/4.82 (~node17(s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7281, 152, 7265])).
% 4.59/4.82 tff(7283,plain,
% 4.59/4.82 (~m_memory_v_master(c_m, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[2550, 167, 7282])).
% 4.59/4.82 tff(7284,plain,
% 4.59/4.82 (~node29(c_m, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[2558, 1085, 7283])).
% 4.59/4.82 tff(7285,plain,
% 4.59/4.82 (m_memory_v_cmd(c_m, s3, c_idle)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[2566, 948, 7284])).
% 4.59/4.82 tff(7286,plain,
% 4.59/4.82 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s3)) | (~m_processor_v_master(c_p1, s3)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s3)) | (~m_processor_v_master(c_p1, s3)))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7287,plain,
% 4.59/4.82 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s3)) | (~m_processor_v_master(c_p1, s3)))),
% 4.59/4.82 inference(quant_inst,[status(thm)],[])).
% 4.59/4.82 tff(7288,plain,
% 4.59/4.82 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s3)) | (~m_processor_v_master(c_p1, s3))),
% 4.59/4.82 inference(modus_ponens,[status(thm)],[7287, 7286])).
% 4.59/4.82 tff(7289,plain,
% 4.59/4.82 (~node16(s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7288, 695, 7265])).
% 4.59/4.82 tff(7290,plain,
% 4.59/4.82 (~m_processor_v_master(c_p2, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[2481, 710, 7289])).
% 4.59/4.82 tff(7291,plain,
% 4.59/4.82 (~node64(c_p2, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[2496, 726, 7290])).
% 4.59/4.82 tff(7292,plain,
% 4.59/4.82 (~node65(c_p2, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[2489, 740, 7290])).
% 4.59/4.82 tff(7293,plain,
% 4.59/4.82 (~node66(c_p2, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[2512, 801, 7290])).
% 4.59/4.82 tff(7294,plain,
% 4.59/4.82 (~node62(c_p2, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[2503, 757, 7290])).
% 4.59/4.82 tff(7295,plain,
% 4.59/4.82 (~node63(c_p2, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[2519, 788, 7290])).
% 4.59/4.82 tff(7296,plain,
% 4.59/4.82 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[2532, 773, 7295, 7294, 7293, 7292, 7291])).
% 4.59/4.82 tff(7297,plain,
% 4.59/4.82 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node10(s3))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node10(s3))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7298,plain,
% 4.59/4.82 ((node9(s3) | node10(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle))) <=> (node9(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node10(s3))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7299,plain,
% 4.59/4.82 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | node10(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node10(s3)))),
% 4.59/4.82 inference(monotonicity,[status(thm)],[7298])).
% 4.59/4.82 tff(7300,plain,
% 4.59/4.82 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | node10(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node10(s3))),
% 4.59/4.82 inference(transitivity,[status(thm)],[7299, 7297])).
% 4.59/4.82 tff(7301,plain,
% 4.59/4.82 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | node10(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))),
% 4.59/4.82 inference(quant_inst,[status(thm)],[])).
% 4.59/4.82 tff(7302,plain,
% 4.59/4.82 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node10(s3)),
% 4.59/4.82 inference(modus_ponens,[status(thm)],[7301, 7300])).
% 4.59/4.82 tff(7303,plain,
% 4.59/4.82 ($false),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7302, 993, 6408, 6529, 6367, 7278, 6528])).
% 4.59/4.82 tff(7304,plain,(node10(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | node9(s3)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.82 tff(7305,plain,
% 4.59/4.82 ($false),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7304, 7296, 7285, 7278, 7277, 7270])).
% 4.59/4.82 tff(7306,plain,(m_processor_v_cmd(c_p1, s3, c_idle) | node10(s3) | node62(c_p0, s3) | node63(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.82 tff(7307,plain,
% 4.59/4.82 (m_processor_v_cmd(c_p1, s3, c_idle) | node10(s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7306, 7264, 7263])).
% 4.59/4.82 tff(7308,plain,
% 4.59/4.82 (node10(s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7307, 7259])).
% 4.59/4.82 tff(7309,assumption,(node10(s3)), introduced(assumption)).
% 4.59/4.82 tff(7310,assumption,(~m_main_v_CMD(s3, c_write_h_invalid)), introduced(assumption)).
% 4.59/4.82 tff(7311,assumption,(m_processor_v_cmd(c_p1, s3, c_write_h_invalid)), introduced(assumption)).
% 4.59/4.82 tff(7312,plain,
% 4.59/4.82 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) | m_main_v_CMD(s3, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) | m_main_v_CMD(s3, c_write_h_invalid))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7313,plain,
% 4.59/4.82 ((m_main_v_CMD(s3, c_write_h_invalid) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid))) <=> ((~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) | m_main_v_CMD(s3, c_write_h_invalid))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7314,plain,
% 4.59/4.82 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_invalid) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) | m_main_v_CMD(s3, c_write_h_invalid)))),
% 4.59/4.82 inference(monotonicity,[status(thm)],[7313])).
% 4.59/4.82 tff(7315,plain,
% 4.59/4.82 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_invalid) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) | m_main_v_CMD(s3, c_write_h_invalid))),
% 4.59/4.82 inference(transitivity,[status(thm)],[7314, 7312])).
% 4.59/4.82 tff(7316,plain,
% 4.59/4.82 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_invalid) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)))),
% 4.59/4.82 inference(quant_inst,[status(thm)],[])).
% 4.59/4.82 tff(7317,plain,
% 4.59/4.82 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) | m_main_v_CMD(s3, c_write_h_invalid)),
% 4.59/4.82 inference(modus_ponens,[status(thm)],[7316, 7315])).
% 4.59/4.82 tff(7318,plain,
% 4.59/4.82 ($false),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7317, 1012, 7311, 7310, 7309])).
% 4.59/4.82 tff(7319,plain,((~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) | m_main_v_CMD(s3, c_write_h_invalid) | (~node10(s3))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.82 tff(7320,plain,
% 4.59/4.82 (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7319, 7308, 6837])).
% 4.59/4.82 tff(7321,plain,
% 4.59/4.82 (m_processor_v_master(c_p1, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[2461, 7259])).
% 4.59/4.82 tff(7322,plain,
% 4.59/4.82 (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[6373, 5017, 6823])).
% 4.59/4.82 tff(7323,assumption,(~m_main_v_CMD(s3, c_write_h_resp_h_invalid)), introduced(assumption)).
% 4.59/4.82 tff(7324,assumption,(m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)), introduced(assumption)).
% 4.59/4.82 tff(7325,plain,
% 4.59/4.82 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)) | m_main_v_CMD(s3, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)) | m_main_v_CMD(s3, c_write_h_resp_h_invalid))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7326,plain,
% 4.59/4.82 ((m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid))) <=> ((~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)) | m_main_v_CMD(s3, c_write_h_resp_h_invalid))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7327,plain,
% 4.59/4.82 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)) | m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 4.59/4.82 inference(monotonicity,[status(thm)],[7326])).
% 4.59/4.82 tff(7328,plain,
% 4.59/4.82 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)) | m_main_v_CMD(s3, c_write_h_resp_h_invalid))),
% 4.59/4.82 inference(transitivity,[status(thm)],[7327, 7325])).
% 4.59/4.82 tff(7329,plain,
% 4.59/4.82 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)))),
% 4.59/4.82 inference(quant_inst,[status(thm)],[])).
% 4.59/4.82 tff(7330,plain,
% 4.59/4.82 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)) | m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 4.59/4.82 inference(modus_ponens,[status(thm)],[7329, 7328])).
% 4.59/4.82 tff(7331,plain,
% 4.59/4.82 ($false),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7330, 1012, 7324, 7323, 7309])).
% 4.59/4.82 tff(7332,plain,((~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)) | m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node10(s3))), inference(lemma,lemma(discharge,[]))).
% 4.59/4.82 tff(7333,plain,
% 4.59/4.82 (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7332, 7308, 7322])).
% 4.59/4.82 tff(7334,plain,
% 4.59/4.82 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)) | m_main_v_CMD(s3, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)) | m_main_v_CMD(s3, c_write_h_resp_h_shared))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7335,plain,
% 4.59/4.82 ((m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared))) <=> ((~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)) | m_main_v_CMD(s3, c_write_h_resp_h_shared))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7336,plain,
% 4.59/4.82 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)) | m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 4.59/4.82 inference(monotonicity,[status(thm)],[7335])).
% 4.59/4.82 tff(7337,plain,
% 4.59/4.82 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)) | m_main_v_CMD(s3, c_write_h_resp_h_shared))),
% 4.59/4.82 inference(transitivity,[status(thm)],[7336, 7334])).
% 4.59/4.82 tff(7338,plain,
% 4.59/4.82 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)))),
% 4.59/4.82 inference(quant_inst,[status(thm)],[])).
% 4.59/4.82 tff(7339,plain,
% 4.59/4.82 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)) | m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 4.59/4.82 inference(modus_ponens,[status(thm)],[7338, 7337])).
% 4.59/4.82 tff(7340,plain,
% 4.59/4.82 ((~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared))),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7339, 1012, 6668])).
% 4.59/4.82 tff(7341,plain,
% 4.59/4.82 (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7340, 7308])).
% 4.59/4.82 tff(7342,plain,
% 4.59/4.82 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s3, c_shared) | (~node63(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s3, c_shared) | (~node63(c_p1, s3)))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7343,plain,
% 4.59/4.82 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s3, c_shared) | (~node63(c_p1, s3)))),
% 4.59/4.82 inference(quant_inst,[status(thm)],[])).
% 4.59/4.82 tff(7344,plain,
% 4.59/4.82 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s3, c_shared) | (~node63(c_p1, s3))),
% 4.59/4.82 inference(modus_ponens,[status(thm)],[7343, 7342])).
% 4.59/4.82 tff(7345,plain,
% 4.59/4.82 (~node63(c_p1, s3)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7344, 836, 1])).
% 4.59/4.82 tff(7346,assumption,(~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)), introduced(assumption)).
% 4.59/4.82 tff(7347,assumption,(~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)), introduced(assumption)).
% 4.59/4.82 tff(7348,assumption,(~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)), introduced(assumption)).
% 4.59/4.82 tff(7349,assumption,(m_processor_v_master(c_p1, s3)), introduced(assumption)).
% 4.59/4.82 tff(7350,plain,
% 4.59/4.82 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7351,plain,
% 4.59/4.82 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid))),
% 4.59/4.82 inference(quant_inst,[status(thm)],[])).
% 4.59/4.82 tff(7352,plain,
% 4.59/4.82 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid)),
% 4.59/4.82 inference(modus_ponens,[status(thm)],[7351, 7350])).
% 4.59/4.82 tff(7353,plain,
% 4.59/4.82 ($false),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7352, 1780, 4482, 1, 4410])).
% 4.59/4.82 tff(7354,plain,(m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.59/4.82 tff(7355,plain,
% 4.59/4.82 (m_processor_v_state(c_p1, s3, c_owned)),
% 4.59/4.82 inference(unit_resolution,[status(thm)],[7354, 4410, 1])).
% 4.59/4.82 tff(7356,assumption,(~node63(c_p1, s3)), introduced(assumption)).
% 4.59/4.82 tff(7357,assumption,(~node62(c_p1, s3)), introduced(assumption)).
% 4.59/4.82 tff(7358,plain,
% 4.59/4.82 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_owned)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_owned)))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7359,plain,
% 4.59/4.82 ((m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3)) <=> ((~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_owned)))),
% 4.59/4.82 inference(rewrite,[status(thm)],[])).
% 4.59/4.82 tff(7360,plain,
% 4.59/4.82 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_owned))))),
% 4.59/4.82 inference(monotonicity,[status(thm)],[7359])).
% 4.59/4.82 tff(7361,plain,
% 4.59/4.82 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_owned)))),
% 4.59/4.83 inference(transitivity,[status(thm)],[7360, 7358])).
% 4.59/4.83 tff(7362,plain,
% 4.59/4.83 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3))),
% 4.59/4.83 inference(quant_inst,[status(thm)],[])).
% 4.59/4.83 tff(7363,plain,
% 4.59/4.83 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_owned))),
% 4.59/4.83 inference(modus_ponens,[status(thm)],[7362, 7361])).
% 4.59/4.83 tff(7364,plain,
% 4.59/4.83 ((~m_processor_v_state(c_p1, s3, c_owned)) | node62(c_p1, s3) | node63(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_owned))),
% 4.59/4.83 inference(unit_resolution,[status(thm)],[7363, 5047, 7349])).
% 4.59/4.83 tff(7365,plain,
% 4.59/4.83 (~m_processor_v_snoop(c_p1, s3, c_owned)),
% 4.59/4.83 inference(unit_resolution,[status(thm)],[7364, 7346, 7357, 4470, 7356])).
% 4.59/4.83 tff(7366,plain,
% 4.59/4.83 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p1, s3, c_owned) | (~node64(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p1, s3, c_owned) | (~node64(c_p1, s3)))),
% 4.59/4.83 inference(rewrite,[status(thm)],[])).
% 4.59/4.83 tff(7367,plain,
% 4.59/4.83 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p1, s3, c_owned) | (~node64(c_p1, s3)))),
% 4.59/4.83 inference(quant_inst,[status(thm)],[])).
% 4.59/4.83 tff(7368,plain,
% 4.59/4.83 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p1, s3, c_owned) | (~node64(c_p1, s3))),
% 4.59/4.83 inference(modus_ponens,[status(thm)],[7367, 7366])).
% 4.59/4.83 tff(7369,plain,
% 4.59/4.83 (~node64(c_p1, s3)),
% 4.59/4.83 inference(unit_resolution,[status(thm)],[7368, 5062, 7365])).
% 4.59/4.83 tff(7370,plain,
% 4.59/4.83 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared))),
% 4.59/4.83 inference(rewrite,[status(thm)],[])).
% 4.59/4.83 tff(7371,plain,
% 4.59/4.83 ((m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3)) <=> ((~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared))),
% 4.59/4.83 inference(rewrite,[status(thm)],[])).
% 4.59/4.83 tff(7372,plain,
% 4.59/4.83 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)))),
% 4.59/4.83 inference(monotonicity,[status(thm)],[7371])).
% 4.59/4.83 tff(7373,plain,
% 4.59/4.83 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared))),
% 4.59/4.83 inference(transitivity,[status(thm)],[7372, 7370])).
% 4.59/4.83 tff(7374,plain,
% 4.59/4.83 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3))),
% 4.59/4.83 inference(quant_inst,[status(thm)],[])).
% 4.59/4.83 tff(7375,plain,
% 4.59/4.83 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)),
% 4.59/4.83 inference(modus_ponens,[status(thm)],[7374, 7373])).
% 4.59/4.83 tff(7376,plain,
% 4.59/4.83 ((~m_processor_v_state(c_p1, s3, c_owned)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)),
% 4.59/4.83 inference(unit_resolution,[status(thm)],[7375, 5090, 7349])).
% 4.59/4.83 tff(7377,plain,
% 4.59/4.83 (~m_processor_v_snoop(c_p1, s3, c_shared)),
% 4.59/4.83 inference(unit_resolution,[status(thm)],[7376, 7347, 4470, 7357, 7356, 7369])).
% 4.67/4.83 tff(7378,plain,
% 4.67/4.83 (~m_processor_v_state(c_p1, s3, c_invalid)),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[4473, 228, 4470])).
% 4.67/4.83 tff(7379,plain,
% 4.67/4.83 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p1, s3, c_invalid) | (~node62(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p1, s3, c_invalid) | (~node62(c_p1, s3)))),
% 4.67/4.83 inference(rewrite,[status(thm)],[])).
% 4.67/4.83 tff(7380,plain,
% 4.67/4.83 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p1, s3, c_invalid) | (~node62(c_p1, s3)))),
% 4.67/4.83 inference(quant_inst,[status(thm)],[])).
% 4.67/4.83 tff(7381,plain,
% 4.67/4.83 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p1, s3, c_invalid) | (~node62(c_p1, s3))),
% 4.67/4.83 inference(modus_ponens,[status(thm)],[7380, 7379])).
% 4.67/4.83 tff(7382,plain,
% 4.67/4.83 (~node62(c_p1, s3)),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[7381, 2660, 7378])).
% 4.67/4.83 tff(7383,plain,
% 4.67/4.83 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s3, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s3, c_shared)))),
% 4.67/4.83 inference(rewrite,[status(thm)],[])).
% 4.67/4.83 tff(7384,plain,
% 4.67/4.83 (((~m_processor_v_state(c_p1, s3, c_shared)) | (~m_processor_v_state(c_p1, s3, c_owned))) <=> ((~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s3, c_shared)))),
% 4.67/4.83 inference(rewrite,[status(thm)],[])).
% 4.67/4.83 tff(7385,plain,
% 4.67/4.83 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | (~m_processor_v_state(c_p1, s3, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s3, c_shared))))),
% 4.67/4.83 inference(monotonicity,[status(thm)],[7384])).
% 4.67/4.83 tff(7386,plain,
% 4.67/4.83 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | (~m_processor_v_state(c_p1, s3, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s3, c_shared)))),
% 4.67/4.83 inference(transitivity,[status(thm)],[7385, 7383])).
% 4.67/4.83 tff(7387,plain,
% 4.67/4.83 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | (~m_processor_v_state(c_p1, s3, c_owned)))),
% 4.67/4.83 inference(quant_inst,[status(thm)],[])).
% 4.67/4.83 tff(7388,plain,
% 4.67/4.83 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s3, c_shared))),
% 4.67/4.83 inference(modus_ponens,[status(thm)],[7387, 7386])).
% 4.67/4.83 tff(7389,plain,
% 4.67/4.83 (~m_processor_v_state(c_p1, s3, c_shared)),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[7388, 1373, 4470])).
% 4.67/4.83 tff(7390,plain,
% 4.67/4.83 (~node63(c_p1, s3)),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[7344, 836, 7389])).
% 4.67/4.83 tff(7391,plain,
% 4.67/4.83 ((~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_owned))),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[7363, 5047, 4470])).
% 4.67/4.83 tff(7392,plain,
% 4.67/4.83 (~m_processor_v_snoop(c_p1, s3, c_owned)),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[7391, 7349, 7390, 7382, 7346])).
% 4.67/4.83 tff(7393,assumption,(~node64(c_p1, s3)), introduced(assumption)).
% 4.67/4.83 tff(7394,plain,
% 4.67/4.83 ((~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[7375, 5090, 4470])).
% 4.67/4.83 tff(7395,plain,
% 4.67/4.83 (~m_processor_v_snoop(c_p1, s3, c_shared)),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[7394, 7349, 7390, 7382, 7393, 7347])).
% 4.67/4.83 tff(7396,assumption,(~node65(c_p1, s3)), introduced(assumption)).
% 4.67/4.83 tff(7397,plain,
% 4.67/4.83 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3))),
% 4.67/4.83 inference(rewrite,[status(thm)],[])).
% 4.67/4.83 tff(7398,plain,
% 4.67/4.83 ((m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3)) <=> (m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3))),
% 4.67/4.83 inference(rewrite,[status(thm)],[])).
% 4.67/4.83 tff(7399,plain,
% 4.67/4.83 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3)))),
% 4.67/4.83 inference(monotonicity,[status(thm)],[7398])).
% 4.67/4.83 tff(7400,plain,
% 4.67/4.83 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3))),
% 4.67/4.83 inference(transitivity,[status(thm)],[7399, 7397])).
% 4.67/4.83 tff(7401,plain,
% 4.67/4.83 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3))),
% 4.67/4.83 inference(quant_inst,[status(thm)],[])).
% 4.67/4.83 tff(7402,plain,
% 4.67/4.83 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3)),
% 4.67/4.83 inference(modus_ponens,[status(thm)],[7401, 7400])).
% 4.67/4.83 tff(7403,plain,
% 4.67/4.83 (m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~m_processor_v_master(c_p1, s3)) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3)),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[7402, 5126, 4470])).
% 4.67/4.83 tff(7404,plain,
% 4.67/4.83 (~m_processor_v_snoop(c_p1, s3, c_invalid)),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[7403, 7349, 7348, 7382, 7390, 7393, 7396])).
% 4.67/4.83 tff(7405,plain,
% 4.67/4.83 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s3, c_invalid) | m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s3, c_invalid) | m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned))),
% 4.67/4.83 inference(rewrite,[status(thm)],[])).
% 4.67/4.83 tff(7406,plain,
% 4.67/4.83 ((m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned) | m_processor_v_snoop(c_p1, s3, c_invalid)) <=> (m_processor_v_snoop(c_p1, s3, c_invalid) | m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned))),
% 4.67/4.83 inference(rewrite,[status(thm)],[])).
% 4.67/4.83 tff(7407,plain,
% 4.67/4.83 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned) | m_processor_v_snoop(c_p1, s3, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s3, c_invalid) | m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned)))),
% 4.67/4.83 inference(monotonicity,[status(thm)],[7406])).
% 4.67/4.83 tff(7408,plain,
% 4.67/4.83 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned) | m_processor_v_snoop(c_p1, s3, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s3, c_invalid) | m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned))),
% 4.67/4.83 inference(transitivity,[status(thm)],[7407, 7405])).
% 4.67/4.83 tff(7409,plain,
% 4.67/4.83 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned) | m_processor_v_snoop(c_p1, s3, c_invalid))),
% 4.67/4.83 inference(quant_inst,[status(thm)],[])).
% 4.67/4.83 tff(7410,plain,
% 4.67/4.83 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s3, c_invalid) | m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned)),
% 4.67/4.83 inference(modus_ponens,[status(thm)],[7409, 7408])).
% 4.67/4.83 tff(7411,plain,
% 4.67/4.83 ($false),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[7410, 5108, 7404, 7395, 7392])).
% 4.67/4.83 tff(7412,plain,((~m_processor_v_master(c_p1, s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_state(c_p1, s3, c_owned)) | node64(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | node65(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.83 tff(7413,plain,
% 4.67/4.83 (node65(c_p1, s3)),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[7412, 7347, 7349, 7346, 7369, 4470, 7348])).
% 4.67/4.83 tff(7414,plain,
% 4.67/4.83 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p1, s3, c_shared) | (~node65(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p1, s3, c_shared) | (~node65(c_p1, s3)))),
% 4.67/4.83 inference(rewrite,[status(thm)],[])).
% 4.67/4.83 tff(7415,plain,
% 4.67/4.83 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p1, s3, c_shared) | (~node65(c_p1, s3)))),
% 4.67/4.83 inference(quant_inst,[status(thm)],[])).
% 4.67/4.83 tff(7416,plain,
% 4.67/4.83 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p1, s3, c_shared) | (~node65(c_p1, s3))),
% 4.67/4.83 inference(modus_ponens,[status(thm)],[7415, 7414])).
% 4.67/4.83 tff(7417,plain,
% 4.67/4.83 ($false),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[7416, 5138, 7413, 7377])).
% 4.67/4.83 tff(7418,plain,(m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared) | (~m_processor_v_state(c_p1, s3, c_owned)) | node62(c_p1, s3) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.83 tff(7419,plain,
% 4.67/4.83 (node62(c_p1, s3)),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[7418, 7355, 7349, 7348, 7347, 7346, 7345])).
% 4.67/4.83 tff(7420,plain,
% 4.67/4.83 ($false),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[7381, 2660, 4410, 7419])).
% 4.67/4.83 tff(7421,plain,(m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.83 tff(7422,plain,
% 4.67/4.83 ($false),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[7421, 7341, 7333, 1, 4410, 7321, 7320])).
% 4.67/4.83 tff(7423,plain,(node50(c_p0, s3) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)) | m_processor_v_state(c_p0, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.83 tff(7424,plain,
% 4.67/4.83 (m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[7423, 6597, 6818, 6801, 6771, 2221])).
% 4.67/4.83 tff(7425,plain,
% 4.67/4.83 (^[X: $i] : refl(((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))))),
% 4.67/4.83 inference(bind,[status(th)],[])).
% 4.67/4.83 tff(7426,plain,
% 4.67/4.83 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.67/4.83 inference(quant_intro,[status(thm)],[7425])).
% 4.67/4.83 tff(7427,plain,
% 4.67/4.83 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.67/4.83 inference(rewrite,[status(thm)],[])).
% 4.67/4.83 tff(7428,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_7')).
% 4.67/4.83 tff(7429,plain,
% 4.67/4.83 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.67/4.83 inference(modus_ponens,[status(thm)],[7428, 7427])).
% 4.67/4.83 tff(7430,plain,(
% 4.67/4.83 ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.67/4.83 inference(skolemize,[status(sab)],[7429])).
% 4.67/4.83 tff(7431,plain,
% 4.67/4.83 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.67/4.83 inference(modus_ponens,[status(thm)],[7430, 7426])).
% 4.67/4.83 tff(7432,plain,
% 4.67/4.83 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 4.67/4.83 inference(rewrite,[status(thm)],[])).
% 4.67/4.83 tff(7433,plain,
% 4.67/4.83 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 4.67/4.83 inference(quant_inst,[status(thm)],[])).
% 4.67/4.83 tff(7434,plain,
% 4.67/4.83 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared))),
% 4.67/4.83 inference(modus_ponens,[status(thm)],[7433, 7432])).
% 4.67/4.83 tff(7435,plain,
% 4.67/4.83 (~m_main_v_CMD(s3, c_idle)),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[7434, 7431, 7424])).
% 4.67/4.83 tff(7436,plain,
% 4.67/4.83 (^[X: $i] : refl(((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response))) <=> ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response))))),
% 4.67/4.83 inference(bind,[status(th)],[])).
% 4.67/4.83 tff(7437,plain,
% 4.67/4.83 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 4.67/4.83 inference(quant_intro,[status(thm)],[7436])).
% 4.67/4.83 tff(7438,plain,
% 4.67/4.83 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 4.67/4.83 inference(rewrite,[status(thm)],[])).
% 4.67/4.83 tff(7439,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_36')).
% 4.67/4.83 tff(7440,plain,
% 4.67/4.83 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 4.67/4.83 inference(modus_ponens,[status(thm)],[7439, 7438])).
% 4.67/4.83 tff(7441,plain,(
% 4.67/4.83 ![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 4.67/4.83 inference(skolemize,[status(sab)],[7440])).
% 4.67/4.83 tff(7442,plain,
% 4.67/4.83 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 4.67/4.83 inference(modus_ponens,[status(thm)],[7441, 7437])).
% 4.67/4.83 tff(7443,plain,
% 4.67/4.83 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 4.67/4.83 inference(rewrite,[status(thm)],[])).
% 4.67/4.83 tff(7444,plain,
% 4.67/4.83 (((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s3, c_response))) <=> ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 4.67/4.83 inference(rewrite,[status(thm)],[])).
% 4.67/4.83 tff(7445,plain,
% 4.67/4.83 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s3, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared))))),
% 4.67/4.84 inference(monotonicity,[status(thm)],[7444])).
% 4.67/4.84 tff(7446,plain,
% 4.67/4.84 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s3, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(transitivity,[status(thm)],[7445, 7443])).
% 4.67/4.84 tff(7447,plain,
% 4.67/4.84 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s3, c_response)))),
% 4.67/4.84 inference(quant_inst,[status(thm)],[])).
% 4.67/4.84 tff(7448,plain,
% 4.67/4.84 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[7447, 7446])).
% 4.67/4.84 tff(7449,plain,
% 4.67/4.84 (~m_main_v_CMD(s3, c_response)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7448, 7442, 7424])).
% 4.67/4.84 tff(7450,plain,
% 4.67/4.84 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[6546, 7449, 6289, 7435])).
% 4.67/4.84 tff(7451,plain,
% 4.67/4.84 (m_processor_v_master(c_p1, s3)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[2461, 7450])).
% 4.67/4.84 tff(7452,plain,
% 4.67/4.84 (~m_processor_v_state(c_p1, s4, c_shared)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4201, 1373, 6292])).
% 4.67/4.84 tff(7453,plain,
% 4.67/4.84 (~m_main_v_CMD(s3, c_read_h_owned)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[6687, 7424])).
% 4.67/4.84 tff(7454,plain,
% 4.67/4.84 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[6354, 7453])).
% 4.67/4.84 tff(7455,assumption,(~m_processor_v_CMD(c_p1, s3, c_read_h_shared)), introduced(assumption)).
% 4.67/4.84 tff(7456,plain,
% 4.67/4.84 (~m_processor_v_CMD(c_p0, s3, c_response)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[6635, 1749, 2687, 6484])).
% 4.67/4.84 tff(7457,plain,
% 4.67/4.84 (~node49(c_p0, s3)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[6649, 6643, 7456])).
% 4.67/4.84 tff(7458,plain,
% 4.67/4.84 (node51(c_p0, s3)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[6216, 7457, 6188, 2368, 6600, 6599, 6598])).
% 4.67/4.84 tff(7459,plain,
% 4.67/4.84 (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[6665, 7458])).
% 4.67/4.84 tff(7460,plain,
% 4.67/4.84 (m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[6673, 7459])).
% 4.67/4.84 tff(7461,assumption,(~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)), introduced(assumption)).
% 4.67/4.84 tff(7462,plain,
% 4.67/4.84 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node3(s3)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node3(s3)))),
% 4.67/4.84 inference(rewrite,[status(thm)],[])).
% 4.67/4.84 tff(7463,plain,
% 4.67/4.84 (((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node3(s3)))),
% 4.67/4.84 inference(rewrite,[status(thm)],[])).
% 4.67/4.84 tff(7464,plain,
% 4.67/4.84 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node3(s3))))),
% 4.67/4.84 inference(monotonicity,[status(thm)],[7463])).
% 4.67/4.84 tff(7465,plain,
% 4.67/4.84 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node3(s3)))),
% 4.67/4.84 inference(transitivity,[status(thm)],[7464, 7462])).
% 4.67/4.84 tff(7466,plain,
% 4.67/4.84 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))),
% 4.67/4.84 inference(quant_inst,[status(thm)],[])).
% 4.67/4.84 tff(7467,plain,
% 4.67/4.84 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node3(s3))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[7466, 7465])).
% 4.67/4.84 tff(7468,plain,
% 4.67/4.84 ($false),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7467, 901, 6309, 7461, 6675])).
% 4.67/4.84 tff(7469,plain,((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.84 tff(7470,plain,
% 4.67/4.84 (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7469, 7460])).
% 4.67/4.84 tff(7471,plain,
% 4.67/4.84 (^[X: $i] : refl(((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))))),
% 4.67/4.84 inference(bind,[status(th)],[])).
% 4.67/4.84 tff(7472,plain,
% 4.67/4.84 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(quant_intro,[status(thm)],[7471])).
% 4.67/4.84 tff(7473,plain,
% 4.67/4.84 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(rewrite,[status(thm)],[])).
% 4.67/4.84 tff(7474,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_32')).
% 4.67/4.84 tff(7475,plain,
% 4.67/4.84 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[7474, 7473])).
% 4.67/4.84 tff(7476,plain,(
% 4.67/4.84 ![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(skolemize,[status(sab)],[7475])).
% 4.67/4.84 tff(7477,plain,
% 4.67/4.84 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[7476, 7472])).
% 4.67/4.84 tff(7478,plain,
% 4.67/4.84 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(rewrite,[status(thm)],[])).
% 4.67/4.84 tff(7479,plain,
% 4.67/4.84 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(quant_inst,[status(thm)],[])).
% 4.67/4.84 tff(7480,plain,
% 4.67/4.84 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[7479, 7478])).
% 4.67/4.84 tff(7481,plain,
% 4.67/4.84 (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7480, 7477, 7460])).
% 4.67/4.84 tff(7482,plain,
% 4.67/4.84 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)))),
% 4.67/4.84 inference(rewrite,[status(thm)],[])).
% 4.67/4.84 tff(7483,plain,
% 4.67/4.84 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)))),
% 4.67/4.84 inference(quant_inst,[status(thm)],[])).
% 4.67/4.84 tff(7484,plain,
% 4.67/4.84 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[7483, 7482])).
% 4.67/4.84 tff(7485,plain,
% 4.67/4.84 (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7484, 675, 6309, 7481])).
% 4.67/4.84 tff(7486,plain,
% 4.67/4.84 (^[X: $i] : refl(((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))))),
% 4.67/4.84 inference(bind,[status(th)],[])).
% 4.67/4.84 tff(7487,plain,
% 4.67/4.84 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(quant_intro,[status(thm)],[7486])).
% 4.67/4.84 tff(7488,plain,
% 4.67/4.84 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(rewrite,[status(thm)],[])).
% 4.67/4.84 tff(7489,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_29')).
% 4.67/4.84 tff(7490,plain,
% 4.67/4.84 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[7489, 7488])).
% 4.67/4.84 tff(7491,plain,(
% 4.67/4.84 ![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(skolemize,[status(sab)],[7490])).
% 4.67/4.84 tff(7492,plain,
% 4.67/4.84 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[7491, 7487])).
% 4.67/4.84 tff(7493,plain,
% 4.67/4.84 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s3, c_write_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s3, c_write_h_shared)))),
% 4.67/4.84 inference(rewrite,[status(thm)],[])).
% 4.67/4.84 tff(7494,plain,
% 4.67/4.84 (((~m_main_v_CMD(s3, c_write_h_shared)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared))) <=> ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s3, c_write_h_shared)))),
% 4.67/4.84 inference(rewrite,[status(thm)],[])).
% 4.67/4.84 tff(7495,plain,
% 4.67/4.84 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_write_h_shared)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s3, c_write_h_shared))))),
% 4.67/4.84 inference(monotonicity,[status(thm)],[7494])).
% 4.67/4.84 tff(7496,plain,
% 4.67/4.84 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_write_h_shared)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s3, c_write_h_shared)))),
% 4.67/4.84 inference(transitivity,[status(thm)],[7495, 7493])).
% 4.67/4.84 tff(7497,plain,
% 4.67/4.84 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_write_h_shared)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(quant_inst,[status(thm)],[])).
% 4.67/4.84 tff(7498,plain,
% 4.67/4.84 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s3, c_write_h_shared))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[7497, 7496])).
% 4.67/4.84 tff(7499,plain,
% 4.67/4.84 (~m_main_v_CMD(s3, c_write_h_shared)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7498, 7492, 7460])).
% 4.67/4.84 tff(7500,plain,
% 4.67/4.84 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_write_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)))),
% 4.67/4.84 inference(rewrite,[status(thm)],[])).
% 4.67/4.84 tff(7501,plain,
% 4.67/4.84 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)))),
% 4.67/4.84 inference(quant_inst,[status(thm)],[])).
% 4.67/4.84 tff(7502,plain,
% 4.67/4.84 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_write_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[7501, 7500])).
% 4.67/4.84 tff(7503,plain,
% 4.67/4.84 (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7502, 675, 7499, 6309])).
% 4.67/4.84 tff(7504,plain,
% 4.67/4.84 (^[X: $i] : refl(((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))))),
% 4.67/4.84 inference(bind,[status(th)],[])).
% 4.67/4.84 tff(7505,plain,
% 4.67/4.84 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(quant_intro,[status(thm)],[7504])).
% 4.67/4.84 tff(7506,plain,
% 4.67/4.84 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(rewrite,[status(thm)],[])).
% 4.67/4.84 tff(7507,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_25')).
% 4.67/4.84 tff(7508,plain,
% 4.67/4.84 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[7507, 7506])).
% 4.67/4.84 tff(7509,plain,(
% 4.67/4.84 ![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(skolemize,[status(sab)],[7508])).
% 4.67/4.84 tff(7510,plain,
% 4.67/4.84 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[7509, 7505])).
% 4.67/4.84 tff(7511,plain,
% 4.67/4.84 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(rewrite,[status(thm)],[])).
% 4.67/4.84 tff(7512,plain,
% 4.67/4.84 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 4.67/4.84 inference(quant_inst,[status(thm)],[])).
% 4.67/4.84 tff(7513,plain,
% 4.67/4.84 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[7512, 7511])).
% 4.67/4.84 tff(7514,plain,
% 4.67/4.84 (~m_main_v_CMD(s3, c_write_h_invalid)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7513, 7510, 7460])).
% 4.67/4.84 tff(7515,plain,
% 4.67/4.84 (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[6334, 675, 7514, 6309])).
% 4.67/4.84 tff(7516,plain,
% 4.67/4.84 (node60(c_p0, s3)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[6126, 491, 2368])).
% 4.67/4.84 tff(7517,plain,
% 4.67/4.84 (~m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[6130, 538, 7516])).
% 4.67/4.84 tff(7518,plain,
% 4.67/4.84 (~m_main_v_REPLY_h_STALL(s3)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[6134, 555, 7517])).
% 4.67/4.84 tff(7519,plain,
% 4.67/4.84 (~m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[6142, 7518])).
% 4.67/4.84 tff(7520,plain,
% 4.67/4.84 (~node61(c_p1, s3)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[6703, 6598, 2368, 6600, 6599, 6188])).
% 4.67/4.84 tff(7521,plain,
% 4.67/4.84 (~m_processor_v_abort(c_p1, s3)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[6573, 7520, 7519])).
% 4.67/4.84 tff(7522,plain,
% 4.67/4.84 (~m_main_v_CMD(s3, c_idle)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7434, 7431, 7460])).
% 4.67/4.84 tff(7523,plain,
% 4.67/4.84 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[6546, 7522, 6367, 6484])).
% 4.67/4.84 tff(7524,plain,
% 4.67/4.84 (m_processor_v_master(c_p1, s3)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[2461, 7523])).
% 4.67/4.84 tff(7525,plain,
% 4.67/4.84 (node34(c_p1, s3, s4)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4345, 7524, 7521])).
% 4.67/4.84 tff(7526,plain,
% 4.67/4.84 ($false),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4395, 1486, 4203, 7525, 4375, 7515, 7503, 7485, 7470, 7455])).
% 4.67/4.84 tff(7527,plain,(m_main_v_CMD(s3, c_response) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | node52(c_p0, s3, s4) | m_processor_v_abort(c_p0, s3) | node48(c_p0, s3) | node47(c_p0, s3) | node50(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.84 tff(7528,plain,
% 4.67/4.84 (m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7527, 7449, 6597, 7452, 6289, 6163, 6123, 6254, 6243, 7454])).
% 4.67/4.84 tff(7529,plain,
% 4.67/4.84 (~node34(c_p1, s3, s4)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4353, 7528, 7452])).
% 4.67/4.84 tff(7530,plain,
% 4.67/4.84 ($false),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4345, 7529, 7451, 6705])).
% 4.67/4.84 tff(7531,plain,(m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p1, s2, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.67/4.84 tff(7532,plain,
% 4.67/4.84 (m_processor_v_state(c_p0, s2, c_owned)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7531, 4845])).
% 4.67/4.84 tff(7533,plain,
% 4.67/4.84 (~m_processor_v_state(c_p0, s2, c_shared)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[1935, 1373, 7532])).
% 4.67/4.84 tff(7534,plain,
% 4.67/4.84 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4536, 7532])).
% 4.67/4.84 tff(7535,plain,
% 4.67/4.84 (m_processor_v_master(c_p1, s1)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4858, 3223, 4845, 1852])).
% 4.67/4.84 tff(7536,plain,
% 4.67/4.84 (~node32(c_p1, s1, s2)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[1927, 1508, 3])).
% 4.67/4.84 tff(7537,plain,
% 4.67/4.84 (~m_processor_v_abort(c_p1, s1)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[1893, 7536])).
% 4.67/4.84 tff(7538,plain,
% 4.67/4.84 (node34(c_p1, s1, s2)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[5413, 7535, 7537])).
% 4.67/4.84 tff(7539,plain,
% 4.67/4.84 (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[5424, 7538, 4937])).
% 4.67/4.84 tff(7540,plain,
% 4.67/4.84 (~m_main_v_CMD(s1, c_read_h_shared)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[3524, 7539])).
% 4.67/4.84 tff(7541,plain,
% 4.67/4.84 (m_main_v_CMD(s1, c_read_h_owned)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[3657, 7540, 7535, 3223])).
% 4.67/4.84 tff(7542,plain,
% 4.67/4.84 (m_memory_v_CMD(c_m, s1, c_read_h_owned)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4826, 7541])).
% 4.67/4.84 tff(7543,plain,
% 4.67/4.84 (node60(c_p1, s1)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4735, 7537])).
% 4.67/4.84 tff(7544,plain,
% 4.67/4.84 (~m_processor_v_REPLY_h_STALL(c_p1, s1)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4742, 7543])).
% 4.67/4.84 tff(7545,plain,
% 4.67/4.84 (~m_main_v_REPLY_h_STALL(s1)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4748, 7544])).
% 4.67/4.84 tff(7546,plain,
% 4.67/4.84 (~m_memory_v_reply_h_stall(c_m, s1)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4776, 7545])).
% 4.67/4.84 tff(7547,plain,
% 4.67/4.84 (node30(c_m, s1)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4798, 7546, 6074])).
% 4.67/4.84 tff(7548,plain,
% 4.67/4.84 ($false),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4815, 7547, 7542])).
% 4.67/4.84 tff(7549,plain,((~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.84 tff(7550,plain,
% 4.67/4.84 (~m_processor_v_state(c_p1, s1, c_invalid)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7549, 3])).
% 4.67/4.84 tff(7551,plain,
% 4.67/4.84 (m_processor_v_master(c_p1, s0)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[142, 7550])).
% 4.67/4.84 tff(7552,plain,
% 4.67/4.84 (~m_processor_v_master(c_p0, s0)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[820, 7551])).
% 4.67/4.84 tff(7553,plain,
% 4.67/4.84 (m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4559, 7552, 7534, 7533])).
% 4.67/4.84 tff(7554,plain,
% 4.67/4.84 (m_main_v_CMD(s1, c_read_h_owned)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[1998, 7553])).
% 4.67/4.84 tff(7555,plain,
% 4.67/4.84 (m_memory_v_CMD(c_m, s1, c_read_h_owned)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4826, 7554])).
% 4.67/4.84 tff(7556,plain,
% 4.67/4.84 (~node30(c_m, s1)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4815, 7555])).
% 4.67/4.84 tff(7557,plain,
% 4.67/4.84 (m_memory_v_reply_h_stall(c_m, s1)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4798, 7556, 6074])).
% 4.67/4.84 tff(7558,plain,
% 4.67/4.84 (~m_processor_v_state(c_p0, s1, c_owned)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[1626, 7552])).
% 4.67/4.84 tff(7559,plain,
% 4.67/4.84 (~node32(c_p0, s1, s2)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[3195, 7558, 7532])).
% 4.67/4.84 tff(7560,plain,
% 4.67/4.84 (~m_processor_v_abort(c_p0, s1)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[1828, 7559])).
% 4.67/4.84 tff(7561,assumption,(~node60(c_p0, s1)), introduced(assumption)).
% 4.67/4.84 tff(7562,assumption,(~m_processor_v_abort(c_p0, s1)), introduced(assumption)).
% 4.67/4.84 tff(7563,plain,
% 4.67/4.84 ($false),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4609, 491, 7562, 7561])).
% 4.67/4.84 tff(7564,plain,(m_processor_v_abort(c_p0, s1) | node60(c_p0, s1)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.84 tff(7565,plain,
% 4.67/4.84 (node60(c_p0, s1)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7564, 7560])).
% 4.67/4.84 tff(7566,plain,
% 4.67/4.84 (~m_processor_v_REPLY_h_STALL(c_p0, s1)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4633, 7565])).
% 4.67/4.84 tff(7567,plain,
% 4.67/4.84 (~m_main_v_REPLY_h_STALL(s1)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4641, 7566])).
% 4.67/4.84 tff(7568,plain,
% 4.67/4.84 ($false),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4776, 7567, 7557])).
% 4.67/4.84 tff(7569,plain,(m_processor_v_state(c_p1, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.84 tff(7570,plain,
% 4.67/4.84 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_shared)))),
% 4.67/4.84 inference(rewrite,[status(thm)],[])).
% 4.67/4.84 tff(7571,plain,
% 4.67/4.84 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_shared)))),
% 4.67/4.84 inference(quant_inst,[status(thm)],[])).
% 4.67/4.84 tff(7572,plain,
% 4.67/4.84 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_shared))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[7571, 7570])).
% 4.67/4.84 tff(7573,plain,
% 4.67/4.84 (~m_processor_v_state(c_p1, s2, c_shared)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7572, 107, 7569])).
% 4.67/4.84 tff(7574,plain,
% 4.67/4.84 ((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_master(c_p1, s2)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[6800, 7573])).
% 4.67/4.84 tff(7575,plain,
% 4.67/4.84 (~m_processor_v_state(c_p1, s3, c_shared)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7574, 2])).
% 4.67/4.84 tff(7576,plain,
% 4.67/4.84 (~m_processor_v_state(c_p1, s2, c_owned)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[3477, 7569])).
% 4.67/4.84 tff(7577,plain,
% 4.67/4.84 (m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_state(c_p1, s2, c_invalid)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[1783, 1780, 1770])).
% 4.67/4.84 tff(7578,plain,
% 4.67/4.84 (m_processor_v_state(c_p1, s2, c_invalid)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7577, 1515])).
% 4.67/4.84 tff(7579,assumption,(node37(c_p1, s2, s3)), introduced(assumption)).
% 4.67/4.84 tff(7580,plain,
% 4.67/4.84 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~node37(c_p1, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~node37(c_p1, s2, s3)))),
% 4.67/4.84 inference(rewrite,[status(thm)],[])).
% 4.67/4.84 tff(7581,plain,
% 4.67/4.84 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~node37(c_p1, s2, s3)))),
% 4.67/4.84 inference(quant_inst,[status(thm)],[])).
% 4.67/4.84 tff(7582,plain,
% 4.67/4.84 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~node37(c_p1, s2, s3))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[7581, 7580])).
% 4.67/4.84 tff(7583,plain,
% 4.67/4.84 ($false),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7582, 1612, 1515, 4470, 7579])).
% 4.67/4.84 tff(7584,plain,(m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~node37(c_p1, s2, s3))), inference(lemma,lemma(discharge,[]))).
% 4.67/4.84 tff(7585,plain,
% 4.67/4.84 (~node37(c_p1, s2, s3)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7584, 1515, 4470])).
% 4.67/4.84 tff(7586,plain,
% 4.67/4.84 (m_processor_v_abort(c_p1, s2)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[6794, 7585, 1770, 2, 6776])).
% 4.67/4.84 tff(7587,plain,
% 4.67/4.84 (node32(c_p1, s2, s3)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4458, 7586])).
% 4.67/4.84 tff(7588,plain,
% 4.67/4.84 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node32(c_p1, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node32(c_p1, s2, s3)))),
% 4.67/4.84 inference(rewrite,[status(thm)],[])).
% 4.67/4.84 tff(7589,plain,
% 4.67/4.84 (((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid)) <=> ((~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node32(c_p1, s2, s3)))),
% 4.67/4.84 inference(rewrite,[status(thm)],[])).
% 4.67/4.84 tff(7590,plain,
% 4.67/4.84 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node32(c_p1, s2, s3))))),
% 4.67/4.84 inference(monotonicity,[status(thm)],[7589])).
% 4.67/4.84 tff(7591,plain,
% 4.67/4.84 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node32(c_p1, s2, s3)))),
% 4.67/4.84 inference(transitivity,[status(thm)],[7590, 7588])).
% 4.67/4.84 tff(7592,plain,
% 4.67/4.84 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid))),
% 4.67/4.84 inference(quant_inst,[status(thm)],[])).
% 4.67/4.84 tff(7593,plain,
% 4.67/4.84 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node32(c_p1, s2, s3))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[7592, 7591])).
% 4.67/4.84 tff(7594,plain,
% 4.67/4.84 ($false),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7593, 28, 4410, 7587, 7578])).
% 4.67/4.84 tff(7595,plain,(m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_state(c_p1, s3, c_invalid) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_master(c_p1, s2) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.67/4.84 tff(7596,plain,
% 4.67/4.84 ($false),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7595, 7355, 4410, 1770, 2, 1515])).
% 4.67/4.84 tff(7597,plain,(m_processor_v_state(c_p1, s3, c_invalid) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_state(c_p1, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.84 tff(7598,plain,
% 4.67/4.84 (m_processor_v_state(c_p1, s3, c_invalid) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7597, 7576, 7573])).
% 4.67/4.84 tff(7599,plain,
% 4.67/4.84 (m_processor_v_state(c_p1, s3, c_invalid)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7598, 2, 7575])).
% 4.67/4.84 tff(7600,plain,
% 4.67/4.84 (~m_processor_v_state(c_p1, s3, c_owned)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4475, 7599])).
% 4.67/4.84 tff(7601,assumption,(node56(c_p1, s3)), introduced(assumption)).
% 4.67/4.84 tff(7602,plain,
% 4.67/4.84 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | ((~node56(c_p1, s3)) | m_processor_v_state(c_p1, s3, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (~node56(c_p1, s3)) | m_processor_v_state(c_p1, s3, c_owned))),
% 4.67/4.84 inference(rewrite,[status(thm)],[])).
% 4.67/4.84 tff(7603,plain,
% 4.67/4.84 ((m_processor_v_state(c_p1, s3, c_owned) | (~node56(c_p1, s3))) <=> ((~node56(c_p1, s3)) | m_processor_v_state(c_p1, s3, c_owned))),
% 4.67/4.84 inference(rewrite,[status(thm)],[])).
% 4.67/4.84 tff(7604,plain,
% 4.67/4.84 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s3, c_owned) | (~node56(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | ((~node56(c_p1, s3)) | m_processor_v_state(c_p1, s3, c_owned)))),
% 4.67/4.84 inference(monotonicity,[status(thm)],[7603])).
% 4.67/4.84 tff(7605,plain,
% 4.67/4.84 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s3, c_owned) | (~node56(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (~node56(c_p1, s3)) | m_processor_v_state(c_p1, s3, c_owned))),
% 4.67/4.84 inference(transitivity,[status(thm)],[7604, 7602])).
% 4.67/4.84 tff(7606,plain,
% 4.67/4.84 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s3, c_owned) | (~node56(c_p1, s3)))),
% 4.67/4.84 inference(quant_inst,[status(thm)],[])).
% 4.67/4.84 tff(7607,plain,
% 4.67/4.84 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (~node56(c_p1, s3)) | m_processor_v_state(c_p1, s3, c_owned)),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[7606, 7605])).
% 4.67/4.84 tff(7608,plain,
% 4.67/4.84 ($false),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7607, 2255, 4482, 7601])).
% 4.67/4.84 tff(7609,plain,(m_processor_v_state(c_p1, s3, c_owned) | (~node56(c_p1, s3))), inference(lemma,lemma(discharge,[]))).
% 4.67/4.84 tff(7610,plain,
% 4.67/4.84 (~node56(c_p1, s3)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7609, 7600])).
% 4.67/4.84 tff(7611,assumption,(m_processor_v_writable(c_p1, s3)), introduced(assumption)).
% 4.67/4.84 tff(7612,assumption,(~node56(c_p1, s3)), introduced(assumption)).
% 4.67/4.84 tff(7613,plain,
% 4.67/4.84 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s3)) | node56(c_p1, s3))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s3)) | node56(c_p1, s3))),
% 4.67/4.84 inference(rewrite,[status(thm)],[])).
% 4.67/4.84 tff(7614,plain,
% 4.67/4.84 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s3)) | node56(c_p1, s3))),
% 4.67/4.84 inference(quant_inst,[status(thm)],[])).
% 4.67/4.84 tff(7615,plain,
% 4.67/4.84 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s3)) | node56(c_p1, s3)),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[7614, 7613])).
% 4.67/4.84 tff(7616,plain,
% 4.67/4.84 ($false),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7615, 2270, 7612, 7611])).
% 4.67/4.84 tff(7617,plain,((~m_processor_v_writable(c_p1, s3)) | node56(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.84 tff(7618,plain,
% 4.67/4.84 (~m_processor_v_writable(c_p1, s3)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7617, 7610])).
% 4.67/4.84 tff(7619,assumption,(~m_processor_v_writable(c_p1, s3)), introduced(assumption)).
% 4.67/4.84 tff(7620,plain,
% 4.67/4.84 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | ((~node67(s3)) | m_processor_v_writable(c_p1, s3))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s3)) | m_processor_v_writable(c_p1, s3))),
% 4.67/4.84 inference(rewrite,[status(thm)],[])).
% 4.67/4.84 tff(7621,plain,
% 4.67/4.84 ((m_processor_v_writable(c_p1, s3) | (~node67(s3))) <=> ((~node67(s3)) | m_processor_v_writable(c_p1, s3))),
% 4.67/4.84 inference(rewrite,[status(thm)],[])).
% 4.67/4.84 tff(7622,plain,
% 4.67/4.84 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s3) | (~node67(s3)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | ((~node67(s3)) | m_processor_v_writable(c_p1, s3)))),
% 4.67/4.84 inference(monotonicity,[status(thm)],[7621])).
% 4.67/4.84 tff(7623,plain,
% 4.67/4.84 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s3) | (~node67(s3)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s3)) | m_processor_v_writable(c_p1, s3))),
% 4.67/4.84 inference(transitivity,[status(thm)],[7622, 7620])).
% 4.67/4.84 tff(7624,plain,
% 4.67/4.84 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s3) | (~node67(s3)))),
% 4.67/4.84 inference(quant_inst,[status(thm)],[])).
% 4.67/4.84 tff(7625,plain,
% 4.67/4.84 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s3)) | m_processor_v_writable(c_p1, s3)),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[7624, 7623])).
% 4.67/4.84 tff(7626,plain,
% 4.67/4.84 ($false),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7625, 2827, 2278, 7619])).
% 4.67/4.84 tff(7627,plain,((~node67(s3)) | m_processor_v_writable(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.84 tff(7628,plain,
% 4.67/4.84 (~node67(s3)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[7627, 7618])).
% 4.67/4.84 tff(7629,plain,
% 4.67/4.84 (~m_processor_v_state(c_p1, s4, c_owned)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4504, 7599, 2432, 7575, 7600])).
% 4.67/4.84 tff(7630,plain,
% 4.67/4.84 (~node56(c_p1, s4)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4188, 7629])).
% 4.67/4.84 tff(7631,plain,
% 4.67/4.84 (~m_processor_v_writable(c_p1, s4)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4180, 7630])).
% 4.67/4.84 tff(7632,plain,
% 4.67/4.84 (~node67(s4)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[4172, 7631])).
% 4.67/4.84 tff(7633,plain,
% 4.67/4.84 (~node56(c_p1, s2)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[3248, 7576])).
% 4.67/4.84 tff(7634,plain,
% 4.67/4.84 (~m_processor_v_writable(c_p1, s2)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[3241, 7633])).
% 4.67/4.84 tff(7635,plain,
% 4.67/4.84 (~node67(s2)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[3233, 2827, 7634])).
% 4.67/4.85 tff(7636,plain,
% 4.67/4.85 (node67(s4) | node67(s3)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[3146, 7635])).
% 4.67/4.85 tff(7637,plain,
% 4.67/4.85 ($false),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7636, 7632, 7628])).
% 4.67/4.85 tff(7638,plain,(m_processor_v_master(c_p1, s2) | m_processor_v_master(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.85 tff(7639,plain,
% 4.67/4.85 (m_processor_v_master(c_p1, s3)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7638, 2])).
% 4.67/4.85 tff(7640,plain,
% 4.67/4.85 (~node56(c_p1, s3)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7609, 4482])).
% 4.67/4.85 tff(7641,plain,
% 4.67/4.85 (~m_processor_v_writable(c_p1, s3)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7617, 7640])).
% 4.67/4.85 tff(7642,plain,
% 4.67/4.85 (~node67(s3)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7627, 7641])).
% 4.67/4.85 tff(7643,plain,
% 4.67/4.85 (node67(s4)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[3146, 7642, 2873])).
% 4.67/4.85 tff(7644,plain,
% 4.67/4.85 (m_processor_v_writable(c_p1, s4)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[4172, 7643])).
% 4.67/4.85 tff(7645,plain,
% 4.67/4.85 (node56(c_p1, s4)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[4180, 7644])).
% 4.67/4.85 tff(7646,plain,
% 4.67/4.85 (m_processor_v_state(c_p1, s4, c_owned)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[4188, 7645])).
% 4.67/4.85 tff(7647,plain,
% 4.67/4.85 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node32(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node32(c_p1, s3, s4)))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(7648,plain,
% 4.67/4.85 (((~node32(c_p1, s3, s4)) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned))) <=> (m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node32(c_p1, s3, s4)))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(7649,plain,
% 4.67/4.85 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s3, s4)) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node32(c_p1, s3, s4))))),
% 4.67/4.85 inference(monotonicity,[status(thm)],[7648])).
% 4.67/4.85 tff(7650,plain,
% 4.67/4.85 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s3, s4)) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node32(c_p1, s3, s4)))),
% 4.67/4.85 inference(transitivity,[status(thm)],[7649, 7647])).
% 4.67/4.85 tff(7651,plain,
% 4.67/4.85 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s3, s4)) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)))),
% 4.67/4.85 inference(quant_inst,[status(thm)],[])).
% 4.67/4.85 tff(7652,plain,
% 4.67/4.85 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node32(c_p1, s3, s4))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7651, 7650])).
% 4.67/4.85 tff(7653,plain,
% 4.67/4.85 ($false),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7652, 3187, 4482, 4246, 7646])).
% 4.67/4.85 tff(7654,plain,(m_processor_v_state(c_p1, s3, c_owned) | (~node32(c_p1, s3, s4)) | node67(s2)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.85 tff(7655,plain,
% 4.67/4.85 (m_processor_v_state(c_p1, s3, c_owned) | (~node32(c_p1, s3, s4))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7654, 7635])).
% 4.67/4.85 tff(7656,plain,
% 4.67/4.85 (~node32(c_p1, s3, s4)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7655, 7600])).
% 4.67/4.85 tff(7657,plain,
% 4.67/4.85 (~m_processor_v_abort(c_p1, s3)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[4259, 7656])).
% 4.67/4.85 tff(7658,plain,
% 4.67/4.85 (node34(c_p1, s3, s4)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[4345, 7657, 7639])).
% 4.67/4.85 tff(7659,plain,
% 4.67/4.85 (node67(s4)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7636, 7628])).
% 4.67/4.85 tff(7660,plain,
% 4.67/4.85 (m_processor_v_writable(c_p1, s4)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[4172, 7659])).
% 4.67/4.85 tff(7661,plain,
% 4.67/4.85 (node56(c_p1, s4)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[4180, 7660])).
% 4.67/4.85 tff(7662,plain,
% 4.67/4.85 (m_processor_v_state(c_p1, s4, c_owned)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[4188, 7661])).
% 4.67/4.85 tff(7663,plain,
% 4.67/4.85 (~m_processor_v_state(c_p1, s4, c_shared)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[4201, 1373, 7662])).
% 4.67/4.85 tff(7664,plain,
% 4.67/4.85 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[4353, 7663, 7658])).
% 4.67/4.85 tff(7665,plain,
% 4.67/4.85 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[4194, 228, 7662])).
% 4.67/4.85 tff(7666,plain,
% 4.67/4.85 (((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p1, s4)) | (~node56(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p1, s4)) | (~node56(c_p1, s4)))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(7667,plain,
% 4.67/4.85 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p1, s4)) | (~node56(c_p1, s4)))),
% 4.67/4.85 inference(quant_inst,[status(thm)],[])).
% 4.67/4.85 tff(7668,plain,
% 4.67/4.85 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p1, s4)) | (~node56(c_p1, s4))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7667, 7666])).
% 4.67/4.85 tff(7669,plain,
% 4.67/4.85 (~m_processor_v_waiting(c_p1, s4)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7668, 2734, 7661])).
% 4.67/4.85 tff(7670,assumption,(~node53(c_p1, s3, s4)), introduced(assumption)).
% 4.67/4.85 tff(7671,plain,
% 4.67/4.85 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s3, s4)) | node53(c_p1, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s3, s4)) | node53(c_p1, s3, s4))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(7672,plain,
% 4.67/4.85 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s3, s4)) | node53(c_p1, s3, s4))),
% 4.67/4.85 inference(quant_inst,[status(thm)],[])).
% 4.67/4.85 tff(7673,plain,
% 4.67/4.85 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s3, s4)) | node53(c_p1, s3, s4)),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7672, 7671])).
% 4.67/4.85 tff(7674,plain,
% 4.67/4.85 ($false),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7673, 2746, 2339, 7670])).
% 4.67/4.85 tff(7675,plain,(node53(c_p1, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.85 tff(7676,plain,
% 4.67/4.85 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node47(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node47(c_p1, s3)))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(7677,plain,
% 4.67/4.85 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node47(c_p1, s3)))),
% 4.67/4.85 inference(quant_inst,[status(thm)],[])).
% 4.67/4.85 tff(7678,plain,
% 4.67/4.85 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node47(c_p1, s3))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7677, 7676])).
% 4.67/4.85 tff(7679,plain,
% 4.67/4.85 (~node47(c_p1, s3)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7678, 2796, 7664])).
% 4.67/4.85 tff(7680,plain,
% 4.67/4.85 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | m_processor_v_waiting(c_p1, s4) | (~node53(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | m_processor_v_waiting(c_p1, s4) | (~node53(c_p1, s3, s4)))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(7681,plain,
% 4.67/4.85 ((m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | (~node53(c_p1, s3, s4))) <=> ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | m_processor_v_waiting(c_p1, s4) | (~node53(c_p1, s3, s4)))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(7682,plain,
% 4.67/4.85 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | (~node53(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | m_processor_v_waiting(c_p1, s4) | (~node53(c_p1, s3, s4))))),
% 4.67/4.85 inference(monotonicity,[status(thm)],[7681])).
% 4.67/4.85 tff(7683,plain,
% 4.67/4.85 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | (~node53(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | m_processor_v_waiting(c_p1, s4) | (~node53(c_p1, s3, s4)))),
% 4.67/4.85 inference(transitivity,[status(thm)],[7682, 7680])).
% 4.67/4.85 tff(7684,plain,
% 4.67/4.85 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | (~node53(c_p1, s3, s4)))),
% 4.67/4.85 inference(quant_inst,[status(thm)],[])).
% 4.67/4.85 tff(7685,plain,
% 4.67/4.85 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | m_processor_v_waiting(c_p1, s4) | (~node53(c_p1, s3, s4))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7684, 7683])).
% 4.67/4.85 tff(7686,plain,
% 4.67/4.85 ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | m_processor_v_waiting(c_p1, s4) | (~node53(c_p1, s3, s4))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7685, 2763])).
% 4.67/4.85 tff(7687,plain,
% 4.67/4.85 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7686, 7679, 7675, 7639, 7657, 7669])).
% 4.67/4.85 tff(7688,plain,
% 4.67/4.85 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[4360, 1209, 7658])).
% 4.67/4.85 tff(7689,plain,
% 4.67/4.85 (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7688, 7687, 7665, 7664])).
% 4.67/4.85 tff(7690,plain,
% 4.67/4.85 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node33(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node33(c_p1, s3, s4)))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(7691,plain,
% 4.67/4.85 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node33(c_p1, s3, s4)))),
% 4.67/4.85 inference(quant_inst,[status(thm)],[])).
% 4.67/4.85 tff(7692,plain,
% 4.67/4.85 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node33(c_p1, s3, s4))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7691, 7690])).
% 4.67/4.85 tff(7693,plain,
% 4.67/4.85 (~node33(c_p1, s3, s4)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7692, 1654, 7600, 7662])).
% 4.67/4.85 tff(7694,plain,
% 4.67/4.85 (m_processor_v_CMD(c_p1, s3, c_write_h_shared)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[4398, 7689, 7658, 7687, 7693, 7665, 7663])).
% 4.67/4.85 tff(7695,plain,
% 4.67/4.85 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[4368, 1415, 7658])).
% 4.67/4.85 tff(7696,plain,
% 4.67/4.85 (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7695, 7689, 7665, 7687, 7664])).
% 4.67/4.85 tff(7697,plain,
% 4.67/4.85 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[4405, 1444, 7658])).
% 4.67/4.85 tff(7698,plain,
% 4.67/4.85 ($false),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7697, 7696, 7694, 7663, 7687, 7689, 7664])).
% 4.67/4.85 tff(7699,plain,(m_processor_v_master(c_p1, s2)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.85 tff(7700,assumption,(~m_processor_v_snoop(c_p0, s2, c_invalid)), introduced(assumption)).
% 4.67/4.85 tff(7701,assumption,(node39(c_p0, s1, s2)), introduced(assumption)).
% 4.67/4.85 tff(7702,assumption,(~m_processor_v_snoop(c_p0, s1, c_invalid)), introduced(assumption)).
% 4.67/4.85 tff(7703,assumption,(~node42(c_p0, s0)), introduced(assumption)).
% 4.67/4.85 tff(7704,assumption,(~node43(c_p0, s0)), introduced(assumption)).
% 4.67/4.85 tff(7705,plain,
% 4.67/4.85 (^[I0: $i] : refl(m_processor_v_snoop(I0, s0, c_invalid) <=> m_processor_v_snoop(I0, s0, c_invalid))),
% 4.67/4.85 inference(bind,[status(th)],[])).
% 4.67/4.85 tff(7706,plain,
% 4.67/4.85 (![I0: $i] : m_processor_v_snoop(I0, s0, c_invalid) <=> ![I0: $i] : m_processor_v_snoop(I0, s0, c_invalid)),
% 4.67/4.85 inference(quant_intro,[status(thm)],[7705])).
% 4.67/4.85 tff(7707,plain,
% 4.67/4.85 (![I0: $i] : m_processor_v_snoop(I0, s0, c_invalid) <=> ![I0: $i] : m_processor_v_snoop(I0, s0, c_invalid)),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(7708,axiom,(![I0: $i] : m_processor_v_snoop(I0, s0, c_invalid)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_47')).
% 4.67/4.85 tff(7709,plain,
% 4.67/4.85 (![I0: $i] : m_processor_v_snoop(I0, s0, c_invalid)),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7708, 7707])).
% 4.67/4.85 tff(7710,plain,(
% 4.67/4.85 ![I0: $i] : m_processor_v_snoop(I0, s0, c_invalid)),
% 4.67/4.85 inference(skolemize,[status(sab)],[7709])).
% 4.67/4.85 tff(7711,plain,
% 4.67/4.85 (![I0: $i] : m_processor_v_snoop(I0, s0, c_invalid)),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7710, 7706])).
% 4.67/4.85 tff(7712,plain,
% 4.67/4.85 ((~![I0: $i] : m_processor_v_snoop(I0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s0, c_invalid)),
% 4.67/4.85 inference(quant_inst,[status(thm)],[])).
% 4.67/4.85 tff(7713,plain,
% 4.67/4.85 (m_processor_v_snoop(c_p0, s0, c_invalid)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7712, 7711])).
% 4.67/4.85 tff(7714,plain,
% 4.67/4.85 (^[V: $i, Y: $i, I0: $i, X: $i] : refl(((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y))) <=> ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y))))),
% 4.67/4.85 inference(bind,[status(th)],[])).
% 4.67/4.85 tff(7715,plain,
% 4.67/4.85 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))),
% 4.67/4.85 inference(quant_intro,[status(thm)],[7714])).
% 4.67/4.85 tff(7716,plain,
% 4.67/4.85 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(7717,plain,
% 4.67/4.85 (^[V: $i, Y: $i, I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_snoop(I0, Y, V) | (~m_processor_v_snoop(I0, X, V))) <=> ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))), (((m_processor_v_snoop(I0, Y, V) | (~m_processor_v_snoop(I0, X, V))) | (~node44(I0, X, Y))) <=> (((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y))))), rewrite((((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y))) <=> ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))), (((m_processor_v_snoop(I0, Y, V) | (~m_processor_v_snoop(I0, X, V))) | (~node44(I0, X, Y))) <=> ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))))),
% 4.67/4.85 inference(bind,[status(th)],[])).
% 4.67/4.85 tff(7718,plain,
% 4.67/4.85 (![V: $i, Y: $i, I0: $i, X: $i] : ((m_processor_v_snoop(I0, Y, V) | (~m_processor_v_snoop(I0, X, V))) | (~node44(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))),
% 4.67/4.85 inference(quant_intro,[status(thm)],[7717])).
% 4.67/4.85 tff(7719,axiom,(![V: $i, Y: $i, I0: $i, X: $i] : ((m_processor_v_snoop(I0, Y, V) | (~m_processor_v_snoop(I0, X, V))) | (~node44(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_85')).
% 4.67/4.85 tff(7720,plain,
% 4.67/4.85 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7719, 7718])).
% 4.67/4.85 tff(7721,plain,
% 4.67/4.85 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7720, 7716])).
% 4.67/4.85 tff(7722,plain,(
% 4.67/4.85 ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))),
% 4.67/4.85 inference(skolemize,[status(sab)],[7721])).
% 4.67/4.85 tff(7723,plain,
% 4.67/4.85 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7722, 7715])).
% 4.67/4.85 tff(7724,plain,
% 4.67/4.85 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid) | (~node44(c_p0, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid) | (~node44(c_p0, s0, s1)))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(7725,plain,
% 4.67/4.85 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid) | (~node44(c_p0, s0, s1)))),
% 4.67/4.85 inference(quant_inst,[status(thm)],[])).
% 4.67/4.85 tff(7726,plain,
% 4.67/4.85 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid) | (~node44(c_p0, s0, s1))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7725, 7724])).
% 4.67/4.85 tff(7727,plain,
% 4.67/4.85 (~node44(c_p0, s0, s1)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7726, 7723, 7713, 7702])).
% 4.67/4.85 tff(7728,assumption,(~node45(c_p0, s0, s1)), introduced(assumption)).
% 4.67/4.85 tff(7729,plain,
% 4.67/4.85 (^[Y: $i, I0: $i, X: $i] : refl(((~trans(X, Y)) | node45(I0, X, Y)) <=> ((~trans(X, Y)) | node45(I0, X, Y)))),
% 4.67/4.85 inference(bind,[status(th)],[])).
% 4.67/4.85 tff(7730,plain,
% 4.67/4.85 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y)) <=> ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))),
% 4.67/4.85 inference(quant_intro,[status(thm)],[7729])).
% 4.67/4.85 tff(7731,plain,
% 4.67/4.85 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y)) <=> ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(7732,axiom,(![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_93')).
% 4.67/4.85 tff(7733,plain,
% 4.67/4.85 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7732, 7731])).
% 4.67/4.85 tff(7734,plain,(
% 4.67/4.85 ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))),
% 4.67/4.85 inference(skolemize,[status(sab)],[7733])).
% 4.67/4.85 tff(7735,plain,
% 4.67/4.85 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7734, 7730])).
% 4.67/4.85 tff(7736,plain,
% 4.67/4.85 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s0, s1)) | node45(c_p0, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s0, s1)) | node45(c_p0, s0, s1))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(7737,plain,
% 4.67/4.85 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s0, s1)) | node45(c_p0, s0, s1))),
% 4.67/4.85 inference(quant_inst,[status(thm)],[])).
% 4.67/4.85 tff(7738,plain,
% 4.67/4.85 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s0, s1)) | node45(c_p0, s0, s1)),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7737, 7736])).
% 4.67/4.85 tff(7739,plain,
% 4.67/4.85 ($false),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7738, 7735, 54, 7728])).
% 4.67/4.85 tff(7740,plain,(node45(c_p0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.85 tff(7741,plain,
% 4.67/4.85 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_owned) | (~node40(I0, X))) <=> (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X))))),
% 4.67/4.85 inference(bind,[status(th)],[])).
% 4.67/4.85 tff(7742,plain,
% 4.67/4.85 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))),
% 4.67/4.85 inference(quant_intro,[status(thm)],[7741])).
% 4.67/4.85 tff(7743,plain,
% 4.67/4.85 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(7744,axiom,(![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_76')).
% 4.67/4.85 tff(7745,plain,
% 4.67/4.85 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7744, 7743])).
% 4.67/4.85 tff(7746,plain,(
% 4.67/4.85 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))),
% 4.67/4.85 inference(skolemize,[status(sab)],[7745])).
% 4.67/4.85 tff(7747,plain,
% 4.67/4.85 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7746, 7742])).
% 4.67/4.85 tff(7748,plain,
% 4.67/4.85 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node40(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | m_processor_v_state(c_p0, s0, c_owned) | (~node40(c_p0, s0)))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(7749,plain,
% 4.67/4.85 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node40(c_p0, s0)))),
% 4.67/4.85 inference(quant_inst,[status(thm)],[])).
% 4.67/4.85 tff(7750,plain,
% 4.67/4.85 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | m_processor_v_state(c_p0, s0, c_owned) | (~node40(c_p0, s0))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7749, 7748])).
% 4.67/4.85 tff(7751,plain,
% 4.67/4.85 (~node40(c_p0, s0)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7750, 7747, 291])).
% 4.67/4.85 tff(7752,plain,
% 4.67/4.85 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_owned) | (~node41(I0, X))) <=> (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X))))),
% 4.67/4.85 inference(bind,[status(th)],[])).
% 4.67/4.85 tff(7753,plain,
% 4.67/4.85 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))),
% 4.67/4.85 inference(quant_intro,[status(thm)],[7752])).
% 4.67/4.85 tff(7754,plain,
% 4.67/4.85 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(7755,axiom,(![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_79')).
% 4.67/4.85 tff(7756,plain,
% 4.67/4.85 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7755, 7754])).
% 4.67/4.85 tff(7757,plain,(
% 4.67/4.85 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))),
% 4.67/4.85 inference(skolemize,[status(sab)],[7756])).
% 4.67/4.85 tff(7758,plain,
% 4.67/4.85 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7757, 7753])).
% 4.67/4.85 tff(7759,plain,
% 4.67/4.85 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node41(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | m_processor_v_state(c_p0, s0, c_owned) | (~node41(c_p0, s0)))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(7760,plain,
% 4.67/4.85 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node41(c_p0, s0)))),
% 4.67/4.85 inference(quant_inst,[status(thm)],[])).
% 4.67/4.85 tff(7761,plain,
% 4.67/4.85 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | m_processor_v_state(c_p0, s0, c_owned) | (~node41(c_p0, s0))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7760, 7759])).
% 4.67/4.85 tff(7762,plain,
% 4.67/4.85 (~node41(c_p0, s0)),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[7761, 7758, 291])).
% 4.67/4.85 tff(7763,plain,
% 4.67/4.85 (^[Y: $i, I0: $i, X: $i] : refl((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y))) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y))))),
% 4.67/4.85 inference(bind,[status(th)],[])).
% 4.67/4.85 tff(7764,plain,
% 4.67/4.85 (![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))),
% 4.67/4.85 inference(quant_intro,[status(thm)],[7763])).
% 4.67/4.85 tff(7765,plain,
% 4.67/4.85 (![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(7766,plain,
% 4.67/4.85 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X))), ((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) <=> ((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)) | node42(I0, X)))), rewrite(((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)) | node42(I0, X)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X))), ((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)))), (((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | node43(I0, X)) <=> ((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)) | node43(I0, X)))), rewrite(((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)) | node43(I0, X)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X))), (((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | node43(I0, X)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X)))), ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | node43(I0, X)) | node44(I0, X, Y)) <=> ((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X)) | node44(I0, X, Y)))), rewrite(((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X)) | node44(I0, X, Y)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y))), ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | node43(I0, X)) | node44(I0, X, Y)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y)))), (((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | node43(I0, X)) | node44(I0, X, Y)) | (~node45(I0, X, Y))) <=> ((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y)) | (~node45(I0, X, Y))))), rewrite(((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y)) | (~node45(I0, X, Y))) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))), (((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | node43(I0, X)) | node44(I0, X, Y)) | (~node45(I0, X, Y))) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))))),
% 4.67/4.85 inference(bind,[status(th)],[])).
% 4.67/4.85 tff(7767,plain,
% 4.67/4.85 (![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | node43(I0, X)) | node44(I0, X, Y)) | (~node45(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))),
% 4.67/4.85 inference(quant_intro,[status(thm)],[7766])).
% 4.67/4.85 tff(7768,axiom,(![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | node43(I0, X)) | node44(I0, X, Y)) | (~node45(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_92')).
% 4.67/4.85 tff(7769,plain,
% 4.67/4.85 (![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7768, 7767])).
% 4.67/4.85 tff(7770,plain,
% 4.67/4.85 (![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7769, 7765])).
% 4.67/4.85 tff(7771,plain,(
% 4.67/4.85 ![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))),
% 4.67/4.85 inference(skolemize,[status(sab)],[7770])).
% 4.67/4.85 tff(7772,plain,
% 4.67/4.85 (![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[7771, 7764])).
% 4.67/4.85 tff(7773,plain,
% 4.67/4.85 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (node41(c_p0, s0) | node40(c_p0, s0) | node43(c_p0, s0) | m_processor_v_abort(c_p0, s0) | node42(c_p0, s0) | node44(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | node41(c_p0, s0) | node40(c_p0, s0) | node43(c_p0, s0) | m_processor_v_abort(c_p0, s0) | node42(c_p0, s0) | node44(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(7774,plain,
% 4.67/4.85 ((m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | node42(c_p0, s0) | node43(c_p0, s0) | node44(c_p0, s0, s1) | (~node45(c_p0, s0, s1))) <=> (node41(c_p0, s0) | node40(c_p0, s0) | node43(c_p0, s0) | m_processor_v_abort(c_p0, s0) | node42(c_p0, s0) | node44(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(7775,plain,
% 4.67/4.85 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | node42(c_p0, s0) | node43(c_p0, s0) | node44(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (node41(c_p0, s0) | node40(c_p0, s0) | node43(c_p0, s0) | m_processor_v_abort(c_p0, s0) | node42(c_p0, s0) | node44(c_p0, s0, s1) | (~node45(c_p0, s0, s1))))),
% 4.67/4.85 inference(monotonicity,[status(thm)],[7774])).
% 4.67/4.85 tff(7776,plain,
% 4.67/4.85 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | node42(c_p0, s0) | node43(c_p0, s0) | node44(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | node41(c_p0, s0) | node40(c_p0, s0) | node43(c_p0, s0) | m_processor_v_abort(c_p0, s0) | node42(c_p0, s0) | node44(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))),
% 4.67/4.85 inference(transitivity,[status(thm)],[7775, 7773])).
% 4.67/4.85 tff(7777,plain,
% 4.67/4.85 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | node42(c_p0, s0) | node43(c_p0, s0) | node44(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))),
% 4.67/4.85 inference(quant_inst,[status(thm)],[])).
% 4.67/4.85 tff(7778,plain,
% 4.67/4.85 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | node41(c_p0, s0) | node40(c_p0, s0) | node43(c_p0, s0) | m_processor_v_abort(c_p0, s0) | node42(c_p0, s0) | node44(c_p0, s0, s1) | (~node45(c_p0, s0, s1))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7777, 7776])).
% 4.67/4.86 tff(7779,plain,
% 4.67/4.86 (node43(c_p0, s0) | m_processor_v_abort(c_p0, s0) | node42(c_p0, s0) | node44(c_p0, s0, s1)),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[7778, 7772, 7762, 7751, 7740])).
% 4.67/4.86 tff(7780,plain,
% 4.67/4.86 (m_processor_v_abort(c_p0, s0)),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[7779, 7727, 7703, 7704])).
% 4.67/4.86 tff(7781,plain,
% 4.67/4.86 (^[Y: $i, I0: $i, X: $i] : refl((node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y))) <=> (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y))))),
% 4.67/4.86 inference(bind,[status(th)],[])).
% 4.67/4.86 tff(7782,plain,
% 4.67/4.86 (![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))),
% 4.67/4.86 inference(quant_intro,[status(thm)],[7781])).
% 4.67/4.86 tff(7783,plain,
% 4.67/4.86 (![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))),
% 4.67/4.86 inference(rewrite,[status(thm)],[])).
% 4.67/4.86 tff(7784,plain,
% 4.67/4.86 (^[Y: $i, I0: $i, X: $i] : rewrite((((~m_processor_v_abort(I0, X)) | node39(I0, X, Y)) | (~node45(I0, X, Y))) <=> (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y))))),
% 4.67/4.86 inference(bind,[status(th)],[])).
% 4.67/4.86 tff(7785,plain,
% 4.67/4.86 (![Y: $i, I0: $i, X: $i] : (((~m_processor_v_abort(I0, X)) | node39(I0, X, Y)) | (~node45(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))),
% 4.67/4.86 inference(quant_intro,[status(thm)],[7784])).
% 4.67/4.86 tff(7786,axiom,(![Y: $i, I0: $i, X: $i] : (((~m_processor_v_abort(I0, X)) | node39(I0, X, Y)) | (~node45(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_87')).
% 4.67/4.86 tff(7787,plain,
% 4.67/4.86 (![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7786, 7785])).
% 4.67/4.86 tff(7788,plain,
% 4.67/4.86 (![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7787, 7783])).
% 4.67/4.86 tff(7789,plain,(
% 4.67/4.86 ![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))),
% 4.67/4.86 inference(skolemize,[status(sab)],[7788])).
% 4.67/4.86 tff(7790,plain,
% 4.67/4.86 (![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7789, 7782])).
% 4.67/4.86 tff(7791,plain,
% 4.67/4.86 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s0)) | node39(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s0)) | node39(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))),
% 4.67/4.86 inference(rewrite,[status(thm)],[])).
% 4.67/4.86 tff(7792,plain,
% 4.67/4.86 ((node39(c_p0, s0, s1) | (~m_processor_v_abort(c_p0, s0)) | (~node45(c_p0, s0, s1))) <=> ((~m_processor_v_abort(c_p0, s0)) | node39(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))),
% 4.67/4.86 inference(rewrite,[status(thm)],[])).
% 4.67/4.86 tff(7793,plain,
% 4.67/4.86 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s0, s1) | (~m_processor_v_abort(c_p0, s0)) | (~node45(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s0)) | node39(c_p0, s0, s1) | (~node45(c_p0, s0, s1))))),
% 4.67/4.86 inference(monotonicity,[status(thm)],[7792])).
% 4.67/4.86 tff(7794,plain,
% 4.67/4.86 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s0, s1) | (~m_processor_v_abort(c_p0, s0)) | (~node45(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s0)) | node39(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))),
% 4.67/4.86 inference(transitivity,[status(thm)],[7793, 7791])).
% 4.67/4.86 tff(7795,plain,
% 4.67/4.86 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s0, s1) | (~m_processor_v_abort(c_p0, s0)) | (~node45(c_p0, s0, s1)))),
% 4.67/4.86 inference(quant_inst,[status(thm)],[])).
% 4.67/4.86 tff(7796,plain,
% 4.67/4.86 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s0)) | node39(c_p0, s0, s1) | (~node45(c_p0, s0, s1))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7795, 7794])).
% 4.67/4.86 tff(7797,plain,
% 4.67/4.86 ((~m_processor_v_abort(c_p0, s0)) | node39(c_p0, s0, s1)),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[7796, 7790, 7740])).
% 4.67/4.86 tff(7798,plain,
% 4.67/4.86 (node39(c_p0, s0, s1)),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[7797, 7780])).
% 4.67/4.86 tff(7799,plain,
% 4.67/4.86 (^[V: $i, Y: $i, I0: $i, X: $i] : refl(((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V)) <=> ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V)))),
% 4.67/4.86 inference(bind,[status(th)],[])).
% 4.67/4.86 tff(7800,plain,
% 4.67/4.86 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V)) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))),
% 4.67/4.86 inference(quant_intro,[status(thm)],[7799])).
% 4.67/4.86 tff(7801,plain,
% 4.67/4.86 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V)) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))),
% 4.67/4.86 inference(rewrite,[status(thm)],[])).
% 4.67/4.86 tff(7802,plain,
% 4.67/4.86 (^[V: $i, Y: $i, I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_snoop(I0, Y, V) | (~m_processor_v_snoop(I0, X, V))) <=> ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))), (((m_processor_v_snoop(I0, Y, V) | (~m_processor_v_snoop(I0, X, V))) | (~node39(I0, X, Y))) <=> (((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V)) | (~node39(I0, X, Y))))), rewrite((((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V)) | (~node39(I0, X, Y))) <=> ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))), (((m_processor_v_snoop(I0, Y, V) | (~m_processor_v_snoop(I0, X, V))) | (~node39(I0, X, Y))) <=> ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))))),
% 4.67/4.86 inference(bind,[status(th)],[])).
% 4.67/4.86 tff(7803,plain,
% 4.67/4.86 (![V: $i, Y: $i, I0: $i, X: $i] : ((m_processor_v_snoop(I0, Y, V) | (~m_processor_v_snoop(I0, X, V))) | (~node39(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))),
% 4.67/4.86 inference(quant_intro,[status(thm)],[7802])).
% 4.67/4.86 tff(7804,axiom,(![V: $i, Y: $i, I0: $i, X: $i] : ((m_processor_v_snoop(I0, Y, V) | (~m_processor_v_snoop(I0, X, V))) | (~node39(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_73')).
% 4.67/4.86 tff(7805,plain,
% 4.67/4.86 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7804, 7803])).
% 4.67/4.86 tff(7806,plain,
% 4.67/4.86 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7805, 7801])).
% 4.67/4.86 tff(7807,plain,(
% 4.67/4.86 ![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))),
% 4.67/4.86 inference(skolemize,[status(sab)],[7806])).
% 4.67/4.86 tff(7808,plain,
% 4.67/4.86 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7807, 7800])).
% 4.67/4.86 tff(7809,plain,
% 4.67/4.86 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid) | (~node39(c_p0, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid) | (~node39(c_p0, s0, s1)))),
% 4.67/4.86 inference(rewrite,[status(thm)],[])).
% 4.67/4.86 tff(7810,plain,
% 4.67/4.86 (((~node39(c_p0, s0, s1)) | (~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid)) <=> ((~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid) | (~node39(c_p0, s0, s1)))),
% 4.67/4.86 inference(rewrite,[status(thm)],[])).
% 4.67/4.86 tff(7811,plain,
% 4.67/4.86 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s0, s1)) | (~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid) | (~node39(c_p0, s0, s1))))),
% 4.67/4.86 inference(monotonicity,[status(thm)],[7810])).
% 4.67/4.86 tff(7812,plain,
% 4.67/4.86 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s0, s1)) | (~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid) | (~node39(c_p0, s0, s1)))),
% 4.67/4.86 inference(transitivity,[status(thm)],[7811, 7809])).
% 4.67/4.86 tff(7813,plain,
% 4.67/4.86 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s0, s1)) | (~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid))),
% 4.67/4.86 inference(quant_inst,[status(thm)],[])).
% 4.67/4.86 tff(7814,plain,
% 4.67/4.86 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid) | (~node39(c_p0, s0, s1))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7813, 7812])).
% 4.67/4.86 tff(7815,plain,
% 4.67/4.86 ($false),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[7814, 7808, 7713, 7702, 7798])).
% 4.67/4.86 tff(7816,plain,(m_processor_v_snoop(c_p0, s1, c_invalid) | node42(c_p0, s0) | node43(c_p0, s0)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.86 tff(7817,plain,
% 4.67/4.86 (node43(c_p0, s0)),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[7816, 7703, 7702])).
% 4.67/4.86 tff(7818,plain,
% 4.67/4.86 (^[I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~node43(I0, X))) <=> (m_processor_v_master(I0, X) | (~node43(I0, X))))),
% 4.67/4.86 inference(bind,[status(th)],[])).
% 4.67/4.86 tff(7819,plain,
% 4.67/4.86 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))),
% 4.67/4.86 inference(quant_intro,[status(thm)],[7818])).
% 4.67/4.86 tff(7820,plain,
% 4.67/4.86 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))),
% 4.67/4.86 inference(rewrite,[status(thm)],[])).
% 4.67/4.86 tff(7821,axiom,(![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_83')).
% 4.67/4.86 tff(7822,plain,
% 4.67/4.86 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7821, 7820])).
% 4.67/4.86 tff(7823,plain,(
% 4.67/4.86 ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))),
% 4.67/4.86 inference(skolemize,[status(sab)],[7822])).
% 4.67/4.86 tff(7824,plain,
% 4.67/4.86 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7823, 7819])).
% 4.67/4.86 tff(7825,plain,
% 4.67/4.86 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s0) | (~node43(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s0) | (~node43(c_p0, s0)))),
% 4.67/4.86 inference(rewrite,[status(thm)],[])).
% 4.67/4.86 tff(7826,plain,
% 4.67/4.86 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s0) | (~node43(c_p0, s0)))),
% 4.67/4.86 inference(quant_inst,[status(thm)],[])).
% 4.67/4.86 tff(7827,plain,
% 4.67/4.86 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s0) | (~node43(c_p0, s0))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7826, 7825])).
% 4.67/4.86 tff(7828,plain,
% 4.67/4.86 (m_processor_v_master(c_p0, s0)),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[7827, 7824, 7817])).
% 4.67/4.86 tff(7829,plain,
% 4.67/4.86 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X))) <=> (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X))))),
% 4.67/4.86 inference(bind,[status(th)],[])).
% 4.67/4.86 tff(7830,plain,
% 4.67/4.86 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))),
% 4.67/4.86 inference(quant_intro,[status(thm)],[7829])).
% 4.67/4.86 tff(7831,plain,
% 4.67/4.86 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))),
% 4.67/4.86 inference(rewrite,[status(thm)],[])).
% 4.67/4.86 tff(7832,axiom,(![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_84')).
% 4.67/4.86 tff(7833,plain,
% 4.67/4.86 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7832, 7831])).
% 4.67/4.86 tff(7834,plain,(
% 4.67/4.86 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))),
% 4.67/4.86 inference(skolemize,[status(sab)],[7833])).
% 4.67/4.86 tff(7835,plain,
% 4.67/4.86 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7834, 7830])).
% 4.67/4.86 tff(7836,plain,
% 4.67/4.86 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | ((~node43(c_p0, s0)) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (~node43(c_p0, s0)) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared))),
% 4.67/4.86 inference(rewrite,[status(thm)],[])).
% 4.67/4.86 tff(7837,plain,
% 4.67/4.86 ((m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared) | (~node43(c_p0, s0))) <=> ((~node43(c_p0, s0)) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared))),
% 4.67/4.86 inference(rewrite,[status(thm)],[])).
% 4.67/4.86 tff(7838,plain,
% 4.67/4.86 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared) | (~node43(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | ((~node43(c_p0, s0)) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)))),
% 4.67/4.86 inference(monotonicity,[status(thm)],[7837])).
% 4.67/4.86 tff(7839,plain,
% 4.67/4.86 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared) | (~node43(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (~node43(c_p0, s0)) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared))),
% 4.67/4.86 inference(transitivity,[status(thm)],[7838, 7836])).
% 4.67/4.86 tff(7840,plain,
% 4.67/4.86 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared) | (~node43(c_p0, s0)))),
% 4.67/4.86 inference(quant_inst,[status(thm)],[])).
% 4.67/4.86 tff(7841,plain,
% 4.67/4.86 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (~node43(c_p0, s0)) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7840, 7839])).
% 4.67/4.86 tff(7842,plain,
% 4.67/4.86 (m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[7841, 7835, 7817])).
% 4.67/4.86 tff(7843,plain,
% 4.67/4.86 (^[Y: $i, I0: $i, X: $i] : refl(((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid)) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid)))),
% 4.67/4.86 inference(bind,[status(th)],[])).
% 4.67/4.86 tff(7844,plain,
% 4.67/4.86 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 4.67/4.86 inference(quant_intro,[status(thm)],[7843])).
% 4.67/4.86 tff(7845,plain,
% 4.67/4.86 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 4.67/4.86 inference(rewrite,[status(thm)],[])).
% 4.67/4.86 tff(7846,plain,
% 4.67/4.86 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X))), ((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) <=> ((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)) | node42(I0, X)))), rewrite(((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)) | node42(I0, X)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X))), ((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)))), (((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)) | (~m_processor_v_master(I0, X))))), rewrite(((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X))), (((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)))), ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> (((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))))), rewrite((((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X))), ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)))), (((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_snoop(I0, Y, c_invalid)) <=> (((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)) | m_processor_v_snoop(I0, Y, c_invalid)))), rewrite((((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)) | m_processor_v_snoop(I0, Y, c_invalid)) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | m_processor_v_snoop(I0, Y, c_invalid))), (((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_snoop(I0, Y, c_invalid)) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | m_processor_v_snoop(I0, Y, c_invalid)))), ((((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y))) <=> (((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y))))), rewrite((((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y))) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))), ((((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y))) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))))),
% 4.67/4.86 inference(bind,[status(th)],[])).
% 4.67/4.86 tff(7847,plain,
% 4.67/4.86 (![Y: $i, I0: $i, X: $i] : (((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 4.67/4.86 inference(quant_intro,[status(thm)],[7846])).
% 4.67/4.86 tff(7848,axiom,(![Y: $i, I0: $i, X: $i] : (((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_91')).
% 4.67/4.86 tff(7849,plain,
% 4.67/4.86 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7848, 7847])).
% 4.67/4.86 tff(7850,plain,
% 4.67/4.86 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7849, 7845])).
% 4.67/4.86 tff(7851,plain,(
% 4.67/4.86 ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 4.67/4.86 inference(skolemize,[status(sab)],[7850])).
% 4.67/4.86 tff(7852,plain,
% 4.67/4.86 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7851, 7844])).
% 4.67/4.86 tff(7853,plain,
% 4.67/4.86 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s0)) | node41(c_p0, s0) | node40(c_p0, s0) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | node42(c_p0, s0) | (~node45(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s0)) | node41(c_p0, s0) | node40(c_p0, s0) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | node42(c_p0, s0) | (~node45(c_p0, s0, s1)))),
% 4.67/4.86 inference(rewrite,[status(thm)],[])).
% 4.67/4.86 tff(7854,plain,
% 4.67/4.86 (((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | node42(c_p0, s0) | (~node45(c_p0, s0, s1)) | m_processor_v_snoop(c_p0, s1, c_invalid)) <=> ((~m_processor_v_master(c_p0, s0)) | node41(c_p0, s0) | node40(c_p0, s0) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | node42(c_p0, s0) | (~node45(c_p0, s0, s1)))),
% 4.67/4.86 inference(rewrite,[status(thm)],[])).
% 4.67/4.86 tff(7855,plain,
% 4.67/4.86 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | node42(c_p0, s0) | (~node45(c_p0, s0, s1)) | m_processor_v_snoop(c_p0, s1, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s0)) | node41(c_p0, s0) | node40(c_p0, s0) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | node42(c_p0, s0) | (~node45(c_p0, s0, s1))))),
% 4.67/4.86 inference(monotonicity,[status(thm)],[7854])).
% 4.67/4.86 tff(7856,plain,
% 4.67/4.86 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | node42(c_p0, s0) | (~node45(c_p0, s0, s1)) | m_processor_v_snoop(c_p0, s1, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s0)) | node41(c_p0, s0) | node40(c_p0, s0) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | node42(c_p0, s0) | (~node45(c_p0, s0, s1)))),
% 4.67/4.86 inference(transitivity,[status(thm)],[7855, 7853])).
% 4.67/4.86 tff(7857,plain,
% 4.67/4.86 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | node42(c_p0, s0) | (~node45(c_p0, s0, s1)) | m_processor_v_snoop(c_p0, s1, c_invalid))),
% 4.67/4.86 inference(quant_inst,[status(thm)],[])).
% 4.67/4.86 tff(7858,plain,
% 4.67/4.86 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s0)) | node41(c_p0, s0) | node40(c_p0, s0) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | node42(c_p0, s0) | (~node45(c_p0, s0, s1))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7857, 7856])).
% 4.67/4.86 tff(7859,plain,
% 4.67/4.86 ((~m_processor_v_master(c_p0, s0)) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | node42(c_p0, s0)),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[7858, 7852, 7762, 7751, 7740])).
% 4.67/4.86 tff(7860,plain,
% 4.67/4.86 ($false),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[7859, 7842, 7828, 1583, 7702, 7703])).
% 4.67/4.86 tff(7861,plain,(node42(c_p0, s0) | m_processor_v_abort(c_p0, s0) | m_processor_v_snoop(c_p0, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.86 tff(7862,plain,
% 4.67/4.86 (node42(c_p0, s0)),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[7861, 1583, 7702])).
% 4.67/4.86 tff(7863,plain,
% 4.67/4.86 (^[I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~node42(I0, X))) <=> (m_processor_v_master(I0, X) | (~node42(I0, X))))),
% 4.67/4.86 inference(bind,[status(th)],[])).
% 4.67/4.86 tff(7864,plain,
% 4.67/4.86 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))),
% 4.67/4.86 inference(quant_intro,[status(thm)],[7863])).
% 4.67/4.86 tff(7865,plain,
% 4.67/4.86 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))),
% 4.67/4.86 inference(rewrite,[status(thm)],[])).
% 4.67/4.86 tff(7866,axiom,(![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_81')).
% 4.67/4.86 tff(7867,plain,
% 4.67/4.86 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7866, 7865])).
% 4.67/4.86 tff(7868,plain,(
% 4.67/4.86 ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))),
% 4.67/4.86 inference(skolemize,[status(sab)],[7867])).
% 4.67/4.86 tff(7869,plain,
% 4.67/4.86 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7868, 7864])).
% 4.67/4.86 tff(7870,plain,
% 4.67/4.86 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s0) | (~node42(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s0) | (~node42(c_p0, s0)))),
% 4.67/4.86 inference(rewrite,[status(thm)],[])).
% 4.67/4.86 tff(7871,plain,
% 4.67/4.86 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s0) | (~node42(c_p0, s0)))),
% 4.67/4.86 inference(quant_inst,[status(thm)],[])).
% 4.67/4.86 tff(7872,plain,
% 4.67/4.86 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s0) | (~node42(c_p0, s0))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7871, 7870])).
% 4.67/4.86 tff(7873,plain,
% 4.67/4.86 (m_processor_v_master(c_p0, s0)),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[7872, 7869, 7862])).
% 4.67/4.86 tff(7874,plain,
% 4.67/4.86 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X))) <=> (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X))))),
% 4.67/4.86 inference(bind,[status(th)],[])).
% 4.67/4.86 tff(7875,plain,
% 4.67/4.86 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))),
% 4.67/4.86 inference(quant_intro,[status(thm)],[7874])).
% 4.67/4.86 tff(7876,plain,
% 4.67/4.86 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))),
% 4.67/4.86 inference(rewrite,[status(thm)],[])).
% 4.67/4.86 tff(7877,axiom,(![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_82')).
% 4.67/4.86 tff(7878,plain,
% 4.67/4.86 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7877, 7876])).
% 4.67/4.86 tff(7879,plain,(
% 4.67/4.86 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))),
% 4.67/4.86 inference(skolemize,[status(sab)],[7878])).
% 4.67/4.86 tff(7880,plain,
% 4.67/4.86 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7879, 7875])).
% 4.67/4.86 tff(7881,plain,
% 4.67/4.86 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | (~node42(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | (~node42(c_p0, s0)))),
% 4.67/4.86 inference(rewrite,[status(thm)],[])).
% 4.67/4.86 tff(7882,plain,
% 4.67/4.86 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | (~node42(c_p0, s0)))),
% 4.67/4.86 inference(quant_inst,[status(thm)],[])).
% 4.67/4.86 tff(7883,plain,
% 4.67/4.86 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | (~node42(c_p0, s0))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[7882, 7881])).
% 4.67/4.86 tff(7884,plain,
% 4.67/4.86 (m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[7883, 7880, 7862])).
% 4.67/4.86 tff(7885,plain,
% 4.67/4.86 (^[Y: $i, I0: $i, X: $i] : refl(((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid)) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid)))),
% 4.67/4.87 inference(bind,[status(th)],[])).
% 4.67/4.87 tff(7886,plain,
% 4.67/4.87 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 4.67/4.87 inference(quant_intro,[status(thm)],[7885])).
% 4.67/4.87 tff(7887,plain,
% 4.67/4.87 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 4.67/4.87 inference(rewrite,[status(thm)],[])).
% 4.67/4.87 tff(7888,plain,
% 4.67/4.87 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X))), ((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)) | (~m_processor_v_master(I0, X))))), rewrite(((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X))), ((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)))), (((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> (((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))))), rewrite((((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X))), (((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)))), ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_snoop(I0, Y, c_invalid)) <=> (((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)) | m_processor_v_snoop(I0, Y, c_invalid)))), rewrite((((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)) | m_processor_v_snoop(I0, Y, c_invalid)) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | m_processor_v_snoop(I0, Y, c_invalid))), ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_snoop(I0, Y, c_invalid)) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | m_processor_v_snoop(I0, Y, c_invalid)))), (((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y))) <=> (((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y))))), rewrite((((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y))) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))), (((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y))) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))))),
% 4.67/4.87 inference(bind,[status(th)],[])).
% 4.67/4.87 tff(7889,plain,
% 4.67/4.87 (![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 4.67/4.87 inference(quant_intro,[status(thm)],[7888])).
% 4.67/4.87 tff(7890,axiom,(![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_90')).
% 4.67/4.87 tff(7891,plain,
% 4.67/4.87 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 4.67/4.87 inference(modus_ponens,[status(thm)],[7890, 7889])).
% 4.67/4.87 tff(7892,plain,
% 4.67/4.87 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 4.67/4.87 inference(modus_ponens,[status(thm)],[7891, 7887])).
% 4.67/4.87 tff(7893,plain,(
% 4.67/4.87 ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 4.67/4.87 inference(skolemize,[status(sab)],[7892])).
% 4.67/4.87 tff(7894,plain,
% 4.67/4.87 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 4.67/4.87 inference(modus_ponens,[status(thm)],[7893, 7886])).
% 4.67/4.87 tff(7895,plain,
% 4.67/4.87 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s0)) | node41(c_p0, s0) | node40(c_p0, s0) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)) | (~node45(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s0)) | node41(c_p0, s0) | node40(c_p0, s0) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)) | (~node45(c_p0, s0, s1)))),
% 4.67/4.87 inference(rewrite,[status(thm)],[])).
% 4.67/4.87 tff(7896,plain,
% 4.67/4.87 (((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | (~node45(c_p0, s0, s1)) | m_processor_v_snoop(c_p0, s1, c_invalid)) <=> ((~m_processor_v_master(c_p0, s0)) | node41(c_p0, s0) | node40(c_p0, s0) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)) | (~node45(c_p0, s0, s1)))),
% 4.67/4.87 inference(rewrite,[status(thm)],[])).
% 4.67/4.87 tff(7897,plain,
% 4.67/4.87 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | (~node45(c_p0, s0, s1)) | m_processor_v_snoop(c_p0, s1, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s0)) | node41(c_p0, s0) | node40(c_p0, s0) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)) | (~node45(c_p0, s0, s1))))),
% 4.67/4.87 inference(monotonicity,[status(thm)],[7896])).
% 4.67/4.87 tff(7898,plain,
% 4.67/4.87 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | (~node45(c_p0, s0, s1)) | m_processor_v_snoop(c_p0, s1, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s0)) | node41(c_p0, s0) | node40(c_p0, s0) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)) | (~node45(c_p0, s0, s1)))),
% 4.67/4.87 inference(transitivity,[status(thm)],[7897, 7895])).
% 4.67/4.87 tff(7899,plain,
% 4.67/4.87 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | (~node45(c_p0, s0, s1)) | m_processor_v_snoop(c_p0, s1, c_invalid))),
% 4.67/4.87 inference(quant_inst,[status(thm)],[])).
% 4.67/4.87 tff(7900,plain,
% 4.67/4.87 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s0)) | node41(c_p0, s0) | node40(c_p0, s0) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)) | (~node45(c_p0, s0, s1))),
% 4.67/4.87 inference(modus_ponens,[status(thm)],[7899, 7898])).
% 4.67/4.87 tff(7901,plain,
% 4.67/4.87 ((~m_processor_v_master(c_p0, s0)) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid))),
% 4.67/4.87 inference(unit_resolution,[status(thm)],[7900, 7894, 7762, 7751, 7740])).
% 4.67/4.87 tff(7902,plain,
% 4.67/4.87 ($false),
% 4.67/4.87 inference(unit_resolution,[status(thm)],[7901, 7884, 7873, 1583, 7702])).
% 4.67/4.87 tff(7903,plain,(m_processor_v_abort(c_p0, s0) | m_processor_v_snoop(c_p0, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.87 tff(7904,plain,
% 4.67/4.87 (m_processor_v_abort(c_p0, s0)),
% 4.67/4.87 inference(unit_resolution,[status(thm)],[7903, 7702])).
% 4.67/4.87 tff(7905,plain,
% 4.67/4.87 (node39(c_p0, s0, s1)),
% 4.67/4.87 inference(unit_resolution,[status(thm)],[7797, 7904])).
% 4.67/4.87 tff(7906,plain,
% 4.67/4.87 ($false),
% 4.67/4.87 inference(unit_resolution,[status(thm)],[7814, 7808, 7713, 7702, 7905])).
% 4.67/4.87 tff(7907,plain,(m_processor_v_snoop(c_p0, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.87 tff(7908,plain,
% 4.67/4.87 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid) | (~node39(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid) | (~node39(c_p0, s1, s2)))),
% 4.67/4.87 inference(rewrite,[status(thm)],[])).
% 4.67/4.87 tff(7909,plain,
% 4.67/4.87 (((~node39(c_p0, s1, s2)) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid)) <=> ((~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid) | (~node39(c_p0, s1, s2)))),
% 4.67/4.87 inference(rewrite,[status(thm)],[])).
% 4.67/4.87 tff(7910,plain,
% 4.67/4.87 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s1, s2)) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid) | (~node39(c_p0, s1, s2))))),
% 4.67/4.87 inference(monotonicity,[status(thm)],[7909])).
% 4.67/4.87 tff(7911,plain,
% 4.67/4.87 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s1, s2)) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid) | (~node39(c_p0, s1, s2)))),
% 4.67/4.87 inference(transitivity,[status(thm)],[7910, 7908])).
% 4.67/4.87 tff(7912,plain,
% 4.67/4.87 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s1, s2)) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid))),
% 4.67/4.87 inference(quant_inst,[status(thm)],[])).
% 4.67/4.87 tff(7913,plain,
% 4.67/4.87 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid) | (~node39(c_p0, s1, s2))),
% 4.67/4.87 inference(modus_ponens,[status(thm)],[7912, 7911])).
% 4.67/4.87 tff(7914,plain,
% 4.67/4.87 ($false),
% 4.67/4.87 inference(unit_resolution,[status(thm)],[7913, 7808, 7700, 7907, 7701])).
% 4.67/4.87 tff(7915,plain,((~node39(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.87 tff(7916,plain,
% 4.67/4.87 (~node39(c_p0, s1, s2)),
% 4.67/4.87 inference(unit_resolution,[status(thm)],[7915, 7700])).
% 4.67/4.87 tff(7917,assumption,(~node45(c_p0, s1, s2)), introduced(assumption)).
% 4.67/4.87 tff(7918,plain,
% 4.67/4.87 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s1, s2)) | node45(c_p0, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s1, s2)) | node45(c_p0, s1, s2))),
% 4.67/4.87 inference(rewrite,[status(thm)],[])).
% 4.67/4.87 tff(7919,plain,
% 4.67/4.87 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s1, s2)) | node45(c_p0, s1, s2))),
% 4.67/4.87 inference(quant_inst,[status(thm)],[])).
% 4.67/4.87 tff(7920,plain,
% 4.67/4.87 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s1, s2)) | node45(c_p0, s1, s2)),
% 4.67/4.87 inference(modus_ponens,[status(thm)],[7919, 7918])).
% 4.67/4.87 tff(7921,plain,
% 4.67/4.87 ($false),
% 4.67/4.87 inference(unit_resolution,[status(thm)],[7920, 7735, 1808, 7917])).
% 4.67/4.87 tff(7922,plain,(node45(c_p0, s1, s2)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.87 tff(7923,plain,
% 4.67/4.87 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s1)) | node39(c_p0, s1, s2) | (~node45(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s1)) | node39(c_p0, s1, s2) | (~node45(c_p0, s1, s2)))),
% 4.67/4.87 inference(rewrite,[status(thm)],[])).
% 4.67/4.87 tff(7924,plain,
% 4.67/4.87 ((node39(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1)) | (~node45(c_p0, s1, s2))) <=> ((~m_processor_v_abort(c_p0, s1)) | node39(c_p0, s1, s2) | (~node45(c_p0, s1, s2)))),
% 4.67/4.87 inference(rewrite,[status(thm)],[])).
% 4.67/4.87 tff(7925,plain,
% 4.67/4.87 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1)) | (~node45(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s1)) | node39(c_p0, s1, s2) | (~node45(c_p0, s1, s2))))),
% 4.67/4.87 inference(monotonicity,[status(thm)],[7924])).
% 4.67/4.87 tff(7926,plain,
% 4.67/4.87 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1)) | (~node45(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s1)) | node39(c_p0, s1, s2) | (~node45(c_p0, s1, s2)))),
% 4.67/4.87 inference(transitivity,[status(thm)],[7925, 7923])).
% 4.67/4.87 tff(7927,plain,
% 4.67/4.87 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1)) | (~node45(c_p0, s1, s2)))),
% 4.67/4.87 inference(quant_inst,[status(thm)],[])).
% 4.67/4.87 tff(7928,plain,
% 4.67/4.87 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s1)) | node39(c_p0, s1, s2) | (~node45(c_p0, s1, s2))),
% 4.67/4.87 inference(modus_ponens,[status(thm)],[7927, 7926])).
% 4.67/4.87 tff(7929,plain,
% 4.67/4.87 ((~m_processor_v_abort(c_p0, s1)) | node39(c_p0, s1, s2)),
% 4.67/4.87 inference(unit_resolution,[status(thm)],[7928, 7790, 7922])).
% 4.67/4.87 tff(7930,plain,
% 4.67/4.87 (~m_processor_v_abort(c_p0, s1)),
% 4.67/4.87 inference(unit_resolution,[status(thm)],[7929, 7916])).
% 4.67/4.87 tff(7931,plain,
% 4.67/4.87 ($false),
% 4.67/4.87 inference(unit_resolution,[status(thm)],[7593, 28, 4410, 6777, 3475])).
% 4.67/4.87 tff(7932,plain,((~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_state(c_p1, s2, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 4.67/4.87 tff(7933,plain,
% 4.67/4.87 ((~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_invalid)),
% 4.67/4.87 inference(unit_resolution,[status(thm)],[7932, 7569])).
% 4.67/4.87 tff(7934,plain,
% 4.67/4.87 (~node32(c_p1, s2, s3)),
% 4.67/4.87 inference(unit_resolution,[status(thm)],[7933, 4410])).
% 4.67/4.87 tff(7935,plain,
% 4.67/4.87 (~m_processor_v_abort(c_p1, s2)),
% 4.67/4.87 inference(unit_resolution,[status(thm)],[4458, 7934])).
% 4.67/4.87 tff(7936,assumption,(~node60(c_p1, s2)), introduced(assumption)).
% 4.67/4.87 tff(7937,plain,
% 4.67/4.87 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s2) | node60(c_p1, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s2) | node60(c_p1, s2))),
% 4.67/4.87 inference(rewrite,[status(thm)],[])).
% 4.67/4.87 tff(7938,plain,
% 4.67/4.87 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s2) | node60(c_p1, s2))),
% 4.67/4.87 inference(quant_inst,[status(thm)],[])).
% 4.67/4.87 tff(7939,plain,
% 4.67/4.87 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s2) | node60(c_p1, s2)),
% 4.67/4.87 inference(modus_ponens,[status(thm)],[7938, 7937])).
% 4.67/4.87 tff(7940,plain,
% 4.67/4.87 ($false),
% 4.67/4.87 inference(unit_resolution,[status(thm)],[7939, 491, 4411, 7936])).
% 4.67/4.87 tff(7941,plain,(m_processor_v_abort(c_p1, s2) | node60(c_p1, s2)), inference(lemma,lemma(discharge,[]))).
% 4.67/4.87 tff(7942,plain,
% 4.67/4.87 (node60(c_p1, s2)),
% 4.67/4.87 inference(unit_resolution,[status(thm)],[7941, 7935])).
% 4.67/4.87 tff(7943,plain,
% 4.67/4.87 ((~m_processor_v_state(c_p1, s3, c_owned)) | (~node37(c_p1, s2, s3))),
% 4.67/4.87 inference(unit_resolution,[status(thm)],[7584, 7576])).
% 4.67/4.87 tff(7944,plain,
% 4.67/4.87 (~node37(c_p1, s2, s3)),
% 4.67/4.87 inference(unit_resolution,[status(thm)],[7943, 7355])).
% 4.67/4.87 tff(7945,assumption,(~node34(c_p1, s2, s3)), introduced(assumption)).
% 4.67/4.87 tff(7946,assumption,(~node37(c_p1, s2, s3)), introduced(assumption)).
% 4.67/4.87 tff(7947,plain,
% 4.67/4.87 (m_processor_v_master(c_p1, s2)),
% 4.67/4.87 inference(unit_resolution,[status(thm)],[6794, 4411, 7946, 1770, 6776])).
% 4.67/4.87 tff(7948,plain,
% 4.67/4.87 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s2)) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2) | node34(c_p1, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s2)) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2) | node34(c_p1, s2, s3))),
% 4.67/4.87 inference(rewrite,[status(thm)],[])).
% 4.67/4.87 tff(7949,plain,
% 4.67/4.87 ((node34(c_p1, s2, s3) | (~m_processor_v_master(c_p1, s2)) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2)) <=> ((~m_processor_v_master(c_p1, s2)) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2) | node34(c_p1, s2, s3))),
% 4.67/4.87 inference(rewrite,[status(thm)],[])).
% 4.67/4.87 tff(7950,plain,
% 4.67/4.87 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s2, s3) | (~m_processor_v_master(c_p1, s2)) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s2)) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2) | node34(c_p1, s2, s3)))),
% 4.67/4.87 inference(monotonicity,[status(thm)],[7949])).
% 4.67/4.87 tff(7951,plain,
% 4.67/4.87 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s2, s3) | (~m_processor_v_master(c_p1, s2)) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s2)) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2) | node34(c_p1, s2, s3))),
% 4.67/4.87 inference(transitivity,[status(thm)],[7950, 7948])).
% 4.67/4.87 tff(7952,plain,
% 4.67/4.87 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s2, s3) | (~m_processor_v_master(c_p1, s2)) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))),
% 4.67/4.87 inference(quant_inst,[status(thm)],[])).
% 4.67/4.87 tff(7953,plain,
% 4.67/4.87 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s2)) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2) | node34(c_p1, s2, s3)),
% 4.67/4.87 inference(modus_ponens,[status(thm)],[7952, 7951])).
% 4.67/4.87 tff(7954,plain,
% 4.67/4.87 ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node34(c_p1, s2, s3)),
% 4.72/4.87 inference(unit_resolution,[status(thm)],[7953, 640, 4417])).
% 4.72/4.87 tff(7955,plain,
% 4.72/4.87 ($false),
% 4.72/4.87 inference(unit_resolution,[status(thm)],[7954, 7947, 4411, 7945])).
% 4.72/4.87 tff(7956,plain,(m_processor_v_abort(c_p1, s2) | node34(c_p1, s2, s3) | node37(c_p1, s2, s3) | m_processor_v_state(c_p1, s2, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.87 tff(7957,plain,
% 4.72/4.87 (m_processor_v_abort(c_p1, s2) | node34(c_p1, s2, s3) | node37(c_p1, s2, s3)),
% 4.72/4.87 inference(unit_resolution,[status(thm)],[7956, 7573])).
% 4.72/4.87 tff(7958,plain,
% 4.72/4.87 (node34(c_p1, s2, s3)),
% 4.72/4.87 inference(unit_resolution,[status(thm)],[7957, 7944, 7935])).
% 4.72/4.87 tff(7959,plain,
% 4.72/4.87 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~node33(c_p1, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~node33(c_p1, s2, s3)))),
% 4.72/4.87 inference(rewrite,[status(thm)],[])).
% 4.72/4.87 tff(7960,plain,
% 4.72/4.87 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~node33(c_p1, s2, s3)))),
% 4.72/4.87 inference(quant_inst,[status(thm)],[])).
% 4.72/4.87 tff(7961,plain,
% 4.72/4.87 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~node33(c_p1, s2, s3))),
% 4.72/4.87 inference(modus_ponens,[status(thm)],[7960, 7959])).
% 4.72/4.87 tff(7962,plain,
% 4.72/4.87 (~node33(c_p1, s2, s3)),
% 4.72/4.87 inference(unit_resolution,[status(thm)],[7961, 1654, 7576, 7355])).
% 4.72/4.87 tff(7963,assumption,(~m_processor_v_CMD(c_p1, s2, c_read_h_owned)), introduced(assumption)).
% 4.72/4.87 tff(7964,assumption,(node34(c_p1, s2, s3)), introduced(assumption)).
% 4.72/4.87 tff(7965,plain,
% 4.72/4.87 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p1, s3, c_shared) | (~node34(c_p1, s2, s3)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s3, c_shared) | (~node34(c_p1, s2, s3)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)))),
% 4.72/4.87 inference(rewrite,[status(thm)],[])).
% 4.72/4.87 tff(7966,plain,
% 4.72/4.87 (((~node34(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared))) <=> (m_processor_v_state(c_p1, s3, c_shared) | (~node34(c_p1, s2, s3)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)))),
% 4.72/4.87 inference(rewrite,[status(thm)],[])).
% 4.72/4.87 tff(7967,plain,
% 4.72/4.87 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p1, s3, c_shared) | (~node34(c_p1, s2, s3)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared))))),
% 4.72/4.87 inference(monotonicity,[status(thm)],[7966])).
% 4.72/4.87 tff(7968,plain,
% 4.72/4.87 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s3, c_shared) | (~node34(c_p1, s2, s3)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)))),
% 4.72/4.87 inference(transitivity,[status(thm)],[7967, 7965])).
% 4.72/4.87 tff(7969,plain,
% 4.72/4.87 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)))),
% 4.72/4.87 inference(quant_inst,[status(thm)],[])).
% 4.72/4.87 tff(7970,plain,
% 4.72/4.87 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s3, c_shared) | (~node34(c_p1, s2, s3)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared))),
% 4.72/4.87 inference(modus_ponens,[status(thm)],[7969, 7968])).
% 4.72/4.87 tff(7971,plain,
% 4.72/4.87 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 4.72/4.87 inference(unit_resolution,[status(thm)],[7970, 1393, 1, 7964])).
% 4.72/4.87 tff(7972,plain,
% 4.72/4.87 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))),
% 4.72/4.87 inference(rewrite,[status(thm)],[])).
% 4.72/4.87 tff(7973,plain,
% 4.72/4.87 (((~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_invalid))) <=> (m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))),
% 4.72/4.87 inference(rewrite,[status(thm)],[])).
% 4.72/4.87 tff(7974,plain,
% 4.72/4.87 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared)))),
% 4.72/4.87 inference(monotonicity,[status(thm)],[7973])).
% 4.72/4.87 tff(7975,plain,
% 4.72/4.87 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))),
% 4.72/4.88 inference(transitivity,[status(thm)],[7974, 7972])).
% 4.72/4.88 tff(7976,plain,
% 4.72/4.88 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_invalid)))),
% 4.72/4.88 inference(quant_inst,[status(thm)],[])).
% 4.72/4.88 tff(7977,plain,
% 4.72/4.88 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 4.72/4.88 inference(modus_ponens,[status(thm)],[7976, 7975])).
% 4.72/4.88 tff(7978,plain,
% 4.72/4.88 ((~m_processor_v_CMD(c_p1, s2, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 4.72/4.88 inference(unit_resolution,[status(thm)],[7977, 1209, 4410, 7964])).
% 4.72/4.88 tff(7979,plain,
% 4.72/4.88 (~m_processor_v_CMD(c_p1, s2, c_write_h_invalid)),
% 4.72/4.88 inference(unit_resolution,[status(thm)],[7978, 7963, 7971])).
% 4.72/4.88 tff(7980,plain,
% 4.72/4.88 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))),
% 4.72/4.88 inference(rewrite,[status(thm)],[])).
% 4.72/4.88 tff(7981,plain,
% 4.72/4.88 (((~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_state(c_p1, s3, c_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid))) <=> (m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))),
% 4.72/4.88 inference(rewrite,[status(thm)],[])).
% 4.72/4.88 tff(7982,plain,
% 4.72/4.88 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_state(c_p1, s3, c_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared)))),
% 4.72/4.88 inference(monotonicity,[status(thm)],[7981])).
% 4.72/4.88 tff(7983,plain,
% 4.72/4.88 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_state(c_p1, s3, c_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))),
% 4.72/4.88 inference(transitivity,[status(thm)],[7982, 7980])).
% 4.72/4.88 tff(7984,plain,
% 4.72/4.88 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_state(c_p1, s3, c_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)))),
% 4.72/4.88 inference(quant_inst,[status(thm)],[])).
% 4.72/4.88 tff(7985,plain,
% 4.72/4.88 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 4.72/4.88 inference(modus_ponens,[status(thm)],[7984, 7983])).
% 4.72/4.88 tff(7986,plain,
% 4.72/4.88 ((~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 4.72/4.88 inference(unit_resolution,[status(thm)],[7985, 1415, 4410, 7964])).
% 4.72/4.88 tff(7987,plain,
% 4.72/4.88 (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)),
% 4.72/4.88 inference(unit_resolution,[status(thm)],[7986, 7979, 7971, 7963])).
% 4.72/4.88 tff(7988,plain,
% 4.72/4.88 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_shared)) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_shared)) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))),
% 4.72/4.88 inference(rewrite,[status(thm)],[])).
% 4.72/4.88 tff(7989,plain,
% 4.72/4.88 (((~node34(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_shared))) <=> (m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_shared)) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))),
% 4.72/4.88 inference(rewrite,[status(thm)],[])).
% 4.72/4.88 tff(7990,plain,
% 4.72/4.88 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_shared)) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared)))),
% 4.72/4.88 inference(monotonicity,[status(thm)],[7989])).
% 4.72/4.88 tff(7991,plain,
% 4.72/4.88 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_shared)) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))),
% 4.72/4.88 inference(transitivity,[status(thm)],[7990, 7988])).
% 4.72/4.88 tff(7992,plain,
% 4.72/4.88 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_shared)))),
% 4.72/4.88 inference(quant_inst,[status(thm)],[])).
% 4.72/4.88 tff(7993,plain,
% 4.72/4.88 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_shared)) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 4.72/4.88 inference(modus_ponens,[status(thm)],[7992, 7991])).
% 4.72/4.88 tff(7994,plain,
% 4.72/4.88 (m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_shared)) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 4.72/4.88 inference(unit_resolution,[status(thm)],[7993, 1444, 1, 7964])).
% 4.72/4.88 tff(7995,plain,
% 4.72/4.88 (~m_processor_v_CMD(c_p1, s2, c_write_h_shared)),
% 4.72/4.88 inference(unit_resolution,[status(thm)],[7994, 7979, 7971, 7963, 7987])).
% 4.72/4.88 tff(7996,assumption,(~node33(c_p1, s2, s3)), introduced(assumption)).
% 4.72/4.88 tff(7997,assumption,(~m_processor_v_CMD(c_p1, s2, c_write_h_invalid)), introduced(assumption)).
% 4.72/4.88 tff(7998,assumption,(~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)), introduced(assumption)).
% 4.72/4.88 tff(7999,plain,
% 4.72/4.88 (m_processor_v_state(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared))),
% 4.72/4.88 inference(unit_resolution,[status(thm)],[7970, 1393, 7964])).
% 4.72/4.88 tff(8000,plain,
% 4.72/4.88 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 4.72/4.88 inference(unit_resolution,[status(thm)],[7999, 1])).
% 4.72/4.88 tff(8001,assumption,(~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)), introduced(assumption)).
% 4.72/4.88 tff(8002,plain,
% 4.72/4.88 (m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_shared)) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 4.72/4.88 inference(unit_resolution,[status(thm)],[7993, 1444, 7964])).
% 4.72/4.88 tff(8003,plain,
% 4.72/4.88 (~m_processor_v_CMD(c_p1, s2, c_write_h_shared)),
% 4.72/4.88 inference(unit_resolution,[status(thm)],[8002, 8001, 1, 8000, 7963, 7997])).
% 4.72/4.88 tff(8004,plain,
% 4.72/4.88 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s2, s3) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | node33(c_p1, s2, s3) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))),
% 4.72/4.88 inference(rewrite,[status(thm)],[])).
% 4.72/4.88 tff(8005,plain,
% 4.72/4.88 ((node33(c_p1, s2, s3) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)) <=> (node33(c_p1, s2, s3) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))),
% 4.72/4.88 inference(rewrite,[status(thm)],[])).
% 4.72/4.88 tff(8006,plain,
% 4.72/4.88 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s2, s3) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s2, s3) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared)))),
% 4.72/4.88 inference(monotonicity,[status(thm)],[8005])).
% 4.72/4.88 tff(8007,plain,
% 4.72/4.88 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s2, s3) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | node33(c_p1, s2, s3) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))),
% 4.72/4.88 inference(transitivity,[status(thm)],[8006, 8004])).
% 4.72/4.88 tff(8008,plain,
% 4.72/4.88 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s2, s3) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared))),
% 4.72/4.88 inference(quant_inst,[status(thm)],[])).
% 4.72/4.88 tff(8009,plain,
% 4.72/4.88 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | node33(c_p1, s2, s3) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 4.72/4.88 inference(modus_ponens,[status(thm)],[8008, 8007])).
% 4.72/4.88 tff(8010,plain,
% 4.72/4.88 (m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 4.72/4.88 inference(unit_resolution,[status(thm)],[8009, 1265, 7996])).
% 4.72/4.88 tff(8011,plain,
% 4.72/4.88 ($false),
% 4.72/4.88 inference(unit_resolution,[status(thm)],[8010, 8003, 8001, 7964, 8000, 7998, 7963, 7997])).
% 4.72/4.88 tff(8012,plain,(m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | node33(c_p1, s2, s3) | m_processor_v_state(c_p1, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.88 tff(8013,plain,
% 4.72/4.88 (m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)),
% 4.72/4.88 inference(unit_resolution,[status(thm)],[8012, 7987, 1, 7996, 7964, 7963, 7979])).
% 4.72/4.88 tff(8014,plain,
% 4.72/4.88 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)))),
% 4.72/4.88 inference(rewrite,[status(thm)],[])).
% 4.72/4.88 tff(8015,plain,
% 4.72/4.88 (((~node34(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared))) <=> (m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)))),
% 4.72/4.88 inference(rewrite,[status(thm)],[])).
% 4.72/4.88 tff(8016,plain,
% 4.72/4.88 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared))))),
% 4.72/4.88 inference(monotonicity,[status(thm)],[8015])).
% 4.72/4.88 tff(8017,plain,
% 4.72/4.88 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)))),
% 4.72/4.89 inference(transitivity,[status(thm)],[8016, 8014])).
% 4.72/4.89 tff(8018,plain,
% 4.72/4.89 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)))),
% 4.72/4.89 inference(quant_inst,[status(thm)],[])).
% 4.72/4.89 tff(8019,plain,
% 4.72/4.89 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared))),
% 4.72/4.89 inference(modus_ponens,[status(thm)],[8018, 8017])).
% 4.72/4.89 tff(8020,plain,
% 4.72/4.89 (m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared))),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8019, 1486, 1, 7964])).
% 4.72/4.89 tff(8021,plain,
% 4.72/4.89 ($false),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8020, 8013, 7995, 7971, 7979, 7963, 7987])).
% 4.72/4.89 tff(8022,plain,(m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_state(c_p1, s3, c_shared) | (~node34(c_p1, s2, s3)) | node33(c_p1, s2, s3) | m_processor_v_state(c_p1, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.89 tff(8023,plain,
% 4.72/4.89 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8022, 7962, 4410, 1, 7958])).
% 4.72/4.89 tff(8024,assumption,(node59(c_p1, s2)), introduced(assumption)).
% 4.72/4.89 tff(8025,assumption,(m_processor_v_CMD(c_p1, s2, c_read_h_owned)), introduced(assumption)).
% 4.72/4.89 tff(8026,plain,
% 4.72/4.89 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node59(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node59(c_p1, s2)))),
% 4.72/4.89 inference(rewrite,[status(thm)],[])).
% 4.72/4.89 tff(8027,plain,
% 4.72/4.89 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node59(c_p1, s2)))),
% 4.72/4.89 inference(quant_inst,[status(thm)],[])).
% 4.72/4.89 tff(8028,plain,
% 4.72/4.89 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node59(c_p1, s2))),
% 4.72/4.89 inference(modus_ponens,[status(thm)],[8027, 8026])).
% 4.72/4.89 tff(8029,plain,
% 4.72/4.89 ($false),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8028, 3868, 8025, 8024])).
% 4.72/4.89 tff(8030,plain,((~node59(c_p1, s2)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.89 tff(8031,plain,
% 4.72/4.89 (~node59(c_p1, s2)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8030, 8023])).
% 4.72/4.89 tff(8032,assumption,(node60(c_p1, s2)), introduced(assumption)).
% 4.72/4.89 tff(8033,assumption,(m_processor_v_REPLY_h_WAITING(c_p1, s2)), introduced(assumption)).
% 4.72/4.89 tff(8034,assumption,(~node59(c_p1, s2)), introduced(assumption)).
% 4.72/4.89 tff(8035,plain,
% 4.72/4.89 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s2) | (~node60(c_p1, s2)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | node59(c_p1, s2) | (~node60(c_p1, s2)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s2)))),
% 4.72/4.89 inference(rewrite,[status(thm)],[])).
% 4.72/4.89 tff(8036,plain,
% 4.72/4.89 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s2) | (~node60(c_p1, s2)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s2)))),
% 4.72/4.89 inference(quant_inst,[status(thm)],[])).
% 4.72/4.89 tff(8037,plain,
% 4.72/4.89 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | node59(c_p1, s2) | (~node60(c_p1, s2)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s2))),
% 4.72/4.89 inference(modus_ponens,[status(thm)],[8036, 8035])).
% 4.72/4.89 tff(8038,plain,
% 4.72/4.89 ($false),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8037, 3889, 8034, 8033, 8032])).
% 4.72/4.89 tff(8039,plain,((~node60(c_p1, s2)) | node59(c_p1, s2) | (~m_processor_v_REPLY_h_WAITING(c_p1, s2))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.89 tff(8040,plain,
% 4.72/4.89 (~m_processor_v_REPLY_h_WAITING(c_p1, s2)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8039, 8031, 7942])).
% 4.72/4.89 tff(8041,assumption,(~m_processor_v_REPLY_h_WAITING(c_p1, s2)), introduced(assumption)).
% 4.72/4.89 tff(8042,plain,
% 4.72/4.89 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s2)) | m_processor_v_REPLY_h_WAITING(c_p1, s2))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s2)) | m_processor_v_REPLY_h_WAITING(c_p1, s2))),
% 4.72/4.89 inference(rewrite,[status(thm)],[])).
% 4.72/4.89 tff(8043,plain,
% 4.72/4.89 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s2)) | m_processor_v_REPLY_h_WAITING(c_p1, s2))),
% 4.72/4.89 inference(quant_inst,[status(thm)],[])).
% 4.72/4.89 tff(8044,plain,
% 4.72/4.89 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s2)) | m_processor_v_REPLY_h_WAITING(c_p1, s2)),
% 4.72/4.89 inference(modus_ponens,[status(thm)],[8043, 8042])).
% 4.72/4.89 tff(8045,plain,
% 4.72/4.89 ($false),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8044, 4309, 8041, 3899])).
% 4.72/4.89 tff(8046,plain,((~m_main_v_REPLY_h_WAITING(s2)) | m_processor_v_REPLY_h_WAITING(c_p1, s2)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.89 tff(8047,plain,
% 4.72/4.89 (~m_main_v_REPLY_h_WAITING(s2)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8046, 8040])).
% 4.72/4.89 tff(8048,plain,
% 4.72/4.89 (node6(s2)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3929, 8047])).
% 4.72/4.89 tff(8049,assumption,(m_processor_v_reply_h_waiting(c_p0, s2)), introduced(assumption)).
% 4.72/4.89 tff(8050,plain,
% 4.72/4.89 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | ((~node6(s2)) | (~m_processor_v_reply_h_waiting(c_p0, s2)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | (~node6(s2)) | (~m_processor_v_reply_h_waiting(c_p0, s2)))),
% 4.72/4.89 inference(rewrite,[status(thm)],[])).
% 4.72/4.89 tff(8051,plain,
% 4.72/4.89 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | ((~node6(s2)) | (~m_processor_v_reply_h_waiting(c_p0, s2)))),
% 4.72/4.89 inference(quant_inst,[status(thm)],[])).
% 4.72/4.89 tff(8052,plain,
% 4.72/4.89 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | (~node6(s2)) | (~m_processor_v_reply_h_waiting(c_p0, s2))),
% 4.72/4.89 inference(modus_ponens,[status(thm)],[8051, 8050])).
% 4.72/4.89 tff(8053,plain,
% 4.72/4.89 ($false),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8052, 4283, 3931, 8049])).
% 4.72/4.89 tff(8054,plain,((~m_processor_v_reply_h_waiting(c_p0, s2)) | (~node6(s2))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.89 tff(8055,plain,
% 4.72/4.89 (~m_processor_v_reply_h_waiting(c_p0, s2)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8054, 8048])).
% 4.72/4.89 tff(8056,assumption,(m_processor_v_master(c_p1, s2)), introduced(assumption)).
% 4.72/4.89 tff(8057,plain,
% 4.72/4.89 (~m_processor_v_master(c_p0, s2)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3951, 815, 8056])).
% 4.72/4.89 tff(8058,plain,
% 4.72/4.89 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p0, s2)) | m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_waiting(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_waiting(c_p0, s2))),
% 4.72/4.89 inference(rewrite,[status(thm)],[])).
% 4.72/4.89 tff(8059,plain,
% 4.72/4.89 ((m_processor_v_master(c_p0, s2) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_reply_h_waiting(c_p0, s2)) <=> ((~m_processor_v_waiting(c_p0, s2)) | m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_waiting(c_p0, s2))),
% 4.72/4.89 inference(rewrite,[status(thm)],[])).
% 4.72/4.89 tff(8060,plain,
% 4.72/4.89 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s2) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_reply_h_waiting(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p0, s2)) | m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_waiting(c_p0, s2)))),
% 4.72/4.89 inference(monotonicity,[status(thm)],[8059])).
% 4.72/4.89 tff(8061,plain,
% 4.72/4.89 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s2) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_reply_h_waiting(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_waiting(c_p0, s2))),
% 4.72/4.89 inference(transitivity,[status(thm)],[8060, 8058])).
% 4.72/4.89 tff(8062,plain,
% 4.72/4.89 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s2) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_reply_h_waiting(c_p0, s2))),
% 4.72/4.89 inference(quant_inst,[status(thm)],[])).
% 4.72/4.89 tff(8063,plain,
% 4.72/4.89 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_waiting(c_p0, s2)),
% 4.72/4.89 inference(modus_ponens,[status(thm)],[8062, 8061])).
% 4.72/4.89 tff(8064,plain,
% 4.72/4.89 ((~m_processor_v_waiting(c_p0, s2)) | m_processor_v_reply_h_waiting(c_p0, s2)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8063, 3962, 8057])).
% 4.72/4.89 tff(8065,plain,
% 4.72/4.89 (~m_processor_v_waiting(c_p0, s2)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8064, 8055])).
% 4.72/4.89 tff(8066,assumption,(node44(c_p0, s1, s2)), introduced(assumption)).
% 4.72/4.89 tff(8067,assumption,(m_processor_v_snoop(c_p0, s1, c_invalid)), introduced(assumption)).
% 4.72/4.89 tff(8068,plain,
% 4.72/4.89 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid) | (~node44(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid) | (~node44(c_p0, s1, s2)))),
% 4.72/4.89 inference(rewrite,[status(thm)],[])).
% 4.72/4.89 tff(8069,plain,
% 4.72/4.89 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid) | (~node44(c_p0, s1, s2)))),
% 4.72/4.89 inference(quant_inst,[status(thm)],[])).
% 4.72/4.89 tff(8070,plain,
% 4.72/4.89 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid) | (~node44(c_p0, s1, s2))),
% 4.72/4.89 inference(modus_ponens,[status(thm)],[8069, 8068])).
% 4.72/4.89 tff(8071,plain,
% 4.72/4.89 ($false),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8070, 7723, 7700, 8067, 8066])).
% 4.72/4.89 tff(8072,plain,((~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid) | (~node44(c_p0, s1, s2))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.89 tff(8073,plain,
% 4.72/4.89 (m_processor_v_snoop(c_p0, s2, c_invalid) | (~node44(c_p0, s1, s2))),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8072, 7907])).
% 4.72/4.89 tff(8074,plain,
% 4.72/4.89 (~node44(c_p0, s1, s2)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8073, 7700])).
% 4.72/4.89 tff(8075,plain,
% 4.72/4.89 (~m_processor_v_state(c_p1, s3, c_shared)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[7574, 4191])).
% 4.72/4.89 tff(8076,plain,
% 4.72/4.89 (m_processor_v_state(c_p1, s3, c_invalid)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[7598, 4191, 8075])).
% 4.72/4.89 tff(8077,plain,
% 4.72/4.89 (~m_processor_v_state(c_p1, s3, c_owned)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4475, 8076])).
% 4.72/4.89 tff(8078,plain,
% 4.72/4.89 (node67(s4)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[7636, 4161])).
% 4.72/4.89 tff(8079,plain,
% 4.72/4.89 (m_processor_v_writable(c_p1, s4)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4172, 8078])).
% 4.72/4.89 tff(8080,plain,
% 4.72/4.89 (node56(c_p1, s4)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4180, 8079])).
% 4.72/4.89 tff(8081,plain,
% 4.72/4.89 (m_processor_v_state(c_p1, s4, c_owned)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4188, 8080])).
% 4.72/4.89 tff(8082,plain,
% 4.72/4.89 (m_processor_v_master(c_p1, s3)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4504, 8076, 8081, 8075, 8077])).
% 4.72/4.89 tff(8083,plain,
% 4.72/4.89 (~node32(c_p1, s3, s4)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[7655, 8077])).
% 4.72/4.89 tff(8084,plain,
% 4.72/4.89 (~m_processor_v_abort(c_p1, s3)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4259, 8083])).
% 4.72/4.89 tff(8085,plain,
% 4.72/4.89 (node34(c_p1, s3, s4)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4345, 8084, 8082])).
% 4.72/4.89 tff(8086,plain,
% 4.72/4.89 (~m_processor_v_state(c_p1, s4, c_shared)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4201, 1373, 8081])).
% 4.72/4.89 tff(8087,plain,
% 4.72/4.89 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4353, 8086, 8085])).
% 4.72/4.89 tff(8088,plain,
% 4.72/4.89 (node60(c_p1, s3)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4322, 8084])).
% 4.72/4.89 tff(8089,plain,
% 4.72/4.89 (~m_processor_v_master(c_p0, s3)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[2430, 815, 8082])).
% 4.72/4.89 tff(8090,plain,
% 4.72/4.89 (m_processor_v_reply_h_waiting(c_p0, s3)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4507, 8089])).
% 4.72/4.89 tff(8091,plain,
% 4.72/4.89 (~node6(s3)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4288, 8090])).
% 4.72/4.89 tff(8092,plain,
% 4.72/4.89 (m_main_v_REPLY_h_WAITING(s3)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4296, 8091])).
% 4.72/4.89 tff(8093,plain,
% 4.72/4.89 (m_processor_v_REPLY_h_WAITING(c_p1, s3)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4314, 8092])).
% 4.72/4.89 tff(8094,plain,
% 4.72/4.89 (node59(c_p1, s3)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[6877, 8093, 8088])).
% 4.72/4.89 tff(8095,plain,
% 4.72/4.89 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4337, 8094])).
% 4.72/4.89 tff(8096,plain,
% 4.72/4.89 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4194, 228, 8081])).
% 4.72/4.89 tff(8097,plain,
% 4.72/4.89 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid))),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4360, 1209, 8085])).
% 4.72/4.89 tff(8098,plain,
% 4.72/4.89 (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8097, 8096, 8095, 8087])).
% 4.72/4.89 tff(8099,plain,
% 4.72/4.89 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4368, 1415, 8085])).
% 4.72/4.89 tff(8100,plain,
% 4.72/4.89 (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8099, 8098, 8095, 8096, 8087])).
% 4.72/4.89 tff(8101,plain,
% 4.72/4.89 (~node33(c_p1, s3, s4)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[7692, 1654, 8077, 8081])).
% 4.72/4.89 tff(8102,plain,
% 4.72/4.89 (m_processor_v_CMD(c_p1, s3, c_write_h_shared)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4398, 8098, 8085, 8095, 8101, 8096, 8086])).
% 4.72/4.89 tff(8103,plain,
% 4.72/4.89 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared))),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4405, 1444, 8085])).
% 4.72/4.89 tff(8104,plain,
% 4.72/4.89 ($false),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8103, 8102, 8100, 8095, 8086, 8098, 8087])).
% 4.72/4.89 tff(8105,plain,(m_processor_v_state(c_p0, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.89 tff(8106,plain,
% 4.72/4.89 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[4536, 8105])).
% 4.72/4.89 tff(8107,plain,
% 4.72/4.89 (~m_processor_v_state(c_p0, s2, c_shared)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[1935, 1373, 8105])).
% 4.72/4.89 tff(8108,assumption,(m_processor_v_REPLY_h_STALL(c_p1, s2)), introduced(assumption)).
% 4.72/4.89 tff(8109,plain,
% 4.72/4.89 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s2)) | (~node60(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s2)) | (~node60(c_p1, s2)))),
% 4.72/4.89 inference(rewrite,[status(thm)],[])).
% 4.72/4.89 tff(8110,plain,
% 4.72/4.89 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s2)) | (~node60(c_p1, s2)))),
% 4.72/4.89 inference(quant_inst,[status(thm)],[])).
% 4.72/4.89 tff(8111,plain,
% 4.72/4.89 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s2)) | (~node60(c_p1, s2))),
% 4.72/4.89 inference(modus_ponens,[status(thm)],[8110, 8109])).
% 4.72/4.89 tff(8112,plain,
% 4.72/4.89 ($false),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8111, 538, 8108, 8032])).
% 4.72/4.89 tff(8113,plain,((~node60(c_p1, s2)) | (~m_processor_v_REPLY_h_STALL(c_p1, s2))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.89 tff(8114,plain,
% 4.72/4.89 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8113, 7942])).
% 4.72/4.89 tff(8115,assumption,(~m_processor_v_REPLY_h_STALL(c_p1, s2)), introduced(assumption)).
% 4.72/4.89 tff(8116,plain,
% 4.72/4.89 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s2)) | m_processor_v_REPLY_h_STALL(c_p1, s2))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s2)) | m_processor_v_REPLY_h_STALL(c_p1, s2))),
% 4.72/4.89 inference(rewrite,[status(thm)],[])).
% 4.72/4.89 tff(8117,plain,
% 4.72/4.89 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s2)) | m_processor_v_REPLY_h_STALL(c_p1, s2))),
% 4.72/4.89 inference(quant_inst,[status(thm)],[])).
% 4.72/4.89 tff(8118,plain,
% 4.72/4.89 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s2)) | m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 4.72/4.89 inference(modus_ponens,[status(thm)],[8117, 8116])).
% 4.72/4.89 tff(8119,plain,
% 4.72/4.89 ($false),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8118, 524, 8115, 5226])).
% 4.72/4.89 tff(8120,plain,((~m_main_v_REPLY_h_STALL(s2)) | m_processor_v_REPLY_h_STALL(c_p1, s2)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.89 tff(8121,plain,
% 4.72/4.89 (~m_main_v_REPLY_h_STALL(s2)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8120, 8114])).
% 4.72/4.89 tff(8122,plain,
% 4.72/4.89 (node7(s2)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[5239, 8121])).
% 4.72/4.89 tff(8123,plain,
% 4.72/4.89 (~m_memory_v_reply_h_stall(c_m, s2)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[5247, 8122])).
% 4.72/4.89 tff(8124,assumption,(~node3(s2)), introduced(assumption)).
% 4.72/4.89 tff(8125,plain,
% 4.72/4.89 ((~![X: $i] : node3(X)) | node3(s2)),
% 4.72/4.89 inference(quant_inst,[status(thm)],[])).
% 4.72/4.89 tff(8126,plain,
% 4.72/4.89 ($false),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8125, 662, 8124])).
% 4.72/4.89 tff(8127,plain,(node3(s2)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.89 tff(8128,plain,
% 4.72/4.89 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s2, c_read_h_owned) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s2, c_read_h_owned) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)))),
% 4.72/4.89 inference(rewrite,[status(thm)],[])).
% 4.72/4.89 tff(8129,plain,
% 4.72/4.89 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s2, c_read_h_owned) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)))),
% 4.72/4.89 inference(quant_inst,[status(thm)],[])).
% 4.72/4.89 tff(8130,plain,
% 4.72/4.89 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s2, c_read_h_owned) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned))),
% 4.72/4.89 inference(modus_ponens,[status(thm)],[8129, 8128])).
% 4.72/4.89 tff(8131,plain,
% 4.72/4.89 ($false),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8130, 675, 8127, 8025, 5185])).
% 4.72/4.89 tff(8132,plain,(m_main_v_CMD(s2, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.89 tff(8133,plain,
% 4.72/4.89 (m_main_v_CMD(s2, c_read_h_owned)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8132, 8023])).
% 4.72/4.89 tff(8134,plain,
% 4.72/4.89 (m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[5206, 8133])).
% 4.72/4.89 tff(8135,plain,
% 4.72/4.89 (~node30(c_m, s2)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[5214, 8134])).
% 4.72/4.89 tff(8136,plain,
% 4.72/4.89 (~m_memory_v_busy(c_m, s2)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[7174, 8135, 8123])).
% 4.72/4.89 tff(8137,plain,
% 4.72/4.89 (m_processor_v_master(c_p0, s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[2088, 1796, 4537, 2000])).
% 4.72/4.89 tff(8138,plain,
% 4.72/4.89 (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3211, 3197, 3198, 8137])).
% 4.72/4.89 tff(8139,plain,
% 4.72/4.89 (~m_main_v_CMD(s1, c_read_h_shared)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3221, 8138])).
% 4.72/4.89 tff(8140,plain,
% 4.72/4.89 (~node17(s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3286, 1845])).
% 4.72/4.89 tff(8141,plain,
% 4.72/4.89 (~m_memory_v_master(c_m, s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3294, 8140])).
% 4.72/4.89 tff(8142,plain,
% 4.72/4.89 (~node29(c_m, s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3302, 8141])).
% 4.72/4.89 tff(8143,plain,
% 4.72/4.89 (m_memory_v_cmd(c_m, s1, c_idle)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3310, 8142])).
% 4.72/4.89 tff(8144,plain,
% 4.72/4.89 (~m_processor_v_master(c_p1, s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[1850, 1845])).
% 4.72/4.89 tff(8145,plain,
% 4.72/4.89 (m_processor_v_cmd(c_p1, s1, c_idle)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3347, 8144])).
% 4.72/4.89 tff(8146,plain,
% 4.72/4.89 (~node16(s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3351, 2472, 1845])).
% 4.72/4.89 tff(8147,plain,
% 4.72/4.89 (~m_processor_v_master(c_p2, s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3359, 8146])).
% 4.72/4.89 tff(8148,plain,
% 4.72/4.89 (m_processor_v_cmd(c_p2, s1, c_idle)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3400, 8147])).
% 4.72/4.89 tff(8149,plain,
% 4.72/4.89 (node8(s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3413, 8148, 8145, 8143])).
% 4.72/4.89 tff(8150,plain,
% 4.72/4.89 (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3421, 8149, 1988])).
% 4.72/4.89 tff(8151,plain,
% 4.72/4.89 (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3429, 8149, 3423])).
% 4.72/4.89 tff(8152,plain,
% 4.72/4.89 ((~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3440, 1029, 1845])).
% 4.72/4.89 tff(8153,plain,
% 4.72/4.89 (~m_processor_v_state(c_p0, s1, c_invalid)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8152, 8151, 8150])).
% 4.72/4.89 tff(8154,plain,
% 4.72/4.89 (node34(c_p0, s1, s2)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[2098, 1845, 7562])).
% 4.72/4.89 tff(8155,plain,
% 4.72/4.89 (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[1998, 1988])).
% 4.72/4.89 tff(8156,plain,
% 4.72/4.89 (~m_processor_v_state(c_p0, s1, c_shared)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[2191, 8155, 2005, 2000])).
% 4.72/4.89 tff(8157,plain,
% 4.72/4.89 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s1, c_shared) | (~node63(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node63(c_p0, s1)))),
% 4.72/4.89 inference(rewrite,[status(thm)],[])).
% 4.72/4.89 tff(8158,plain,
% 4.72/4.89 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s1, c_shared) | (~node63(c_p0, s1)))),
% 4.72/4.89 inference(quant_inst,[status(thm)],[])).
% 4.72/4.89 tff(8159,plain,
% 4.72/4.89 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node63(c_p0, s1))),
% 4.72/4.89 inference(modus_ponens,[status(thm)],[8158, 8157])).
% 4.72/4.89 tff(8160,plain,
% 4.72/4.89 (~node63(c_p0, s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8159, 836, 8156])).
% 4.72/4.89 tff(8161,plain,
% 4.72/4.89 (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[2109, 8154, 2000])).
% 4.72/4.89 tff(8162,plain,
% 4.72/4.89 (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[2137, 8154, 2005, 8161])).
% 4.72/4.89 tff(8163,plain,
% 4.72/4.89 (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[2144, 1415, 2005, 8154, 8162, 8161, 8155])).
% 4.72/4.89 tff(8164,plain,
% 4.72/4.89 (m_processor_v_state(c_p0, s1, c_owned) | m_processor_v_state(c_p0, s1, c_invalid)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[2085, 1780, 8156])).
% 4.72/4.89 tff(8165,plain,
% 4.72/4.89 (m_processor_v_state(c_p0, s1, c_owned)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8164, 8153])).
% 4.72/4.89 tff(8166,plain,
% 4.72/4.89 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~node2(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~node2(s1)))),
% 4.72/4.89 inference(rewrite,[status(thm)],[])).
% 4.72/4.89 tff(8167,plain,
% 4.72/4.89 (((~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~node2(s1)))),
% 4.72/4.89 inference(rewrite,[status(thm)],[])).
% 4.72/4.89 tff(8168,plain,
% 4.72/4.89 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~node2(s1))))),
% 4.72/4.89 inference(monotonicity,[status(thm)],[8167])).
% 4.72/4.89 tff(8169,plain,
% 4.72/4.89 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~node2(s1)))),
% 4.72/4.89 inference(transitivity,[status(thm)],[8168, 8166])).
% 4.72/4.89 tff(8170,plain,
% 4.72/4.89 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid))),
% 4.72/4.89 inference(quant_inst,[status(thm)],[])).
% 4.72/4.89 tff(8171,plain,
% 4.72/4.89 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~node2(s1))),
% 4.72/4.89 inference(modus_ponens,[status(thm)],[8170, 8169])).
% 4.72/4.89 tff(8172,plain,
% 4.72/4.89 (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8171, 2697, 1993, 2157])).
% 4.72/4.89 tff(8173,plain,
% 4.72/4.89 (~m_processor_v_CMD(c_p0, s1, c_write_h_invalid)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[2137, 2160, 2005, 2101])).
% 4.72/4.89 tff(8174,plain,
% 4.72/4.89 (~m_processor_v_master(c_p2, s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3357, 710, 8146])).
% 4.72/4.89 tff(8175,plain,
% 4.72/4.89 (~node62(c_p2, s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3365, 757, 8174])).
% 4.72/4.89 tff(8176,plain,
% 4.72/4.89 (~node63(c_p2, s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3388, 788, 8174])).
% 4.72/4.89 tff(8177,plain,
% 4.72/4.89 (~node64(c_p2, s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3370, 726, 8174])).
% 4.72/4.89 tff(8178,plain,
% 4.72/4.89 (~node65(c_p2, s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3380, 740, 8174])).
% 4.72/4.89 tff(8179,plain,
% 4.72/4.89 (~node66(c_p2, s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3376, 801, 8174])).
% 4.72/4.89 tff(8180,plain,
% 4.72/4.89 (m_processor_v_cmd(c_p2, s1, c_idle)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3395, 773, 8179, 8178, 8177, 8176, 8175])).
% 4.72/4.89 tff(8181,plain,
% 4.72/4.89 (~node17(s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3284, 1572, 1845])).
% 4.72/4.89 tff(8182,plain,
% 4.72/4.89 (~m_memory_v_master(c_m, s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3292, 167, 8181])).
% 4.72/4.89 tff(8183,plain,
% 4.72/4.89 (~node29(c_m, s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3300, 1085, 8182])).
% 4.72/4.89 tff(8184,plain,
% 4.72/4.89 (m_memory_v_cmd(c_m, s1, c_idle)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3308, 948, 8183])).
% 4.72/4.89 tff(8185,plain,
% 4.72/4.89 (~m_processor_v_master(c_p1, s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[1848, 815, 1845])).
% 4.72/4.89 tff(8186,plain,
% 4.72/4.89 (~node62(c_p1, s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3335, 757, 8185])).
% 4.72/4.89 tff(8187,plain,
% 4.72/4.89 (~node63(c_p1, s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3331, 788, 8185])).
% 4.72/4.89 tff(8188,plain,
% 4.72/4.89 (~node64(c_p1, s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3327, 726, 8185])).
% 4.72/4.89 tff(8189,plain,
% 4.72/4.89 (~node65(c_p1, s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3323, 740, 8185])).
% 4.72/4.89 tff(8190,plain,
% 4.72/4.89 (~node66(c_p1, s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3316, 801, 8185])).
% 4.72/4.89 tff(8191,plain,
% 4.72/4.89 (m_processor_v_cmd(c_p1, s1, c_idle)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3342, 773, 8190, 8189, 8188, 8187, 8186])).
% 4.72/4.89 tff(8192,plain,
% 4.72/4.89 ((~m_processor_v_cmd(c_p2, s1, c_idle)) | node8(s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[3411, 1130, 8191, 8184])).
% 4.72/4.89 tff(8193,plain,
% 4.72/4.89 (node8(s1)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8192, 8180])).
% 4.72/4.89 tff(8194,assumption,(m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)), introduced(assumption)).
% 4.72/4.89 tff(8195,plain,
% 4.72/4.89 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))))),
% 4.72/4.89 inference(bind,[status(th)],[])).
% 4.72/4.89 tff(8196,plain,
% 4.72/4.89 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 4.72/4.89 inference(quant_intro,[status(thm)],[8195])).
% 4.72/4.89 tff(8197,plain,
% 4.72/4.89 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 4.72/4.89 inference(rewrite,[status(thm)],[])).
% 4.72/4.89 tff(8198,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_20')).
% 4.72/4.89 tff(8199,plain,
% 4.72/4.89 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 4.72/4.89 inference(modus_ponens,[status(thm)],[8198, 8197])).
% 4.72/4.89 tff(8200,plain,(
% 4.72/4.89 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 4.72/4.89 inference(skolemize,[status(sab)],[8199])).
% 4.72/4.89 tff(8201,plain,
% 4.72/4.89 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 4.72/4.89 inference(modus_ponens,[status(thm)],[8200, 8196])).
% 4.72/4.89 tff(8202,plain,
% 4.72/4.89 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)))),
% 4.72/4.89 inference(rewrite,[status(thm)],[])).
% 4.72/4.89 tff(8203,plain,
% 4.72/4.89 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)))),
% 4.72/4.89 inference(quant_inst,[status(thm)],[])).
% 4.72/4.89 tff(8204,plain,
% 4.72/4.89 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared))),
% 4.72/4.89 inference(modus_ponens,[status(thm)],[8203, 8202])).
% 4.72/4.89 tff(8205,plain,
% 4.72/4.89 (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8204, 8201, 8194])).
% 4.72/4.89 tff(8206,plain,
% 4.72/4.89 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned))),
% 4.72/4.89 inference(rewrite,[status(thm)],[])).
% 4.72/4.89 tff(8207,plain,
% 4.72/4.89 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned))),
% 4.72/4.89 inference(quant_inst,[status(thm)],[])).
% 4.72/4.89 tff(8208,plain,
% 4.72/4.89 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned)),
% 4.72/4.89 inference(modus_ponens,[status(thm)],[8207, 8206])).
% 4.72/4.89 tff(8209,plain,
% 4.72/4.89 (~m_main_v_CMD(s1, c_read_h_owned)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[8208, 1069, 3416, 8205])).
% 4.72/4.89 tff(8210,plain,
% 4.72/4.89 (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 4.72/4.89 inference(unit_resolution,[status(thm)],[1998, 8209])).
% 4.72/4.89 tff(8211,plain,
% 4.72/4.89 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s1, c_write_h_resp_h_shared) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)))),
% 4.72/4.89 inference(rewrite,[status(thm)],[])).
% 4.72/4.89 tff(8212,plain,
% 4.72/4.89 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s1, c_write_h_resp_h_shared) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)))),
% 4.72/4.89 inference(quant_inst,[status(thm)],[])).
% 4.72/4.89 tff(8213,plain,
% 4.72/4.89 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared))),
% 4.72/4.90 inference(modus_ponens,[status(thm)],[8212, 8211])).
% 4.72/4.90 tff(8214,plain,
% 4.72/4.90 (m_main_v_CMD(s1, c_write_h_resp_h_shared)),
% 4.72/4.90 inference(unit_resolution,[status(thm)],[8213, 2716, 3416, 8194])).
% 4.72/4.90 tff(8215,assumption,(m_main_v_CMD(s1, c_write_h_resp_h_shared)), introduced(assumption)).
% 4.72/4.90 tff(8216,assumption,(~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)), introduced(assumption)).
% 4.72/4.90 tff(8217,plain,
% 4.72/4.90 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node2(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node2(s1)))),
% 4.72/4.90 inference(rewrite,[status(thm)],[])).
% 4.72/4.90 tff(8218,plain,
% 4.72/4.90 (((~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node2(s1)))),
% 4.72/4.90 inference(rewrite,[status(thm)],[])).
% 4.72/4.90 tff(8219,plain,
% 4.72/4.90 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node2(s1))))),
% 4.72/4.90 inference(monotonicity,[status(thm)],[8218])).
% 4.72/4.90 tff(8220,plain,
% 4.72/4.90 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node2(s1)))),
% 4.72/4.90 inference(transitivity,[status(thm)],[8219, 8217])).
% 4.72/4.90 tff(8221,plain,
% 4.72/4.90 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared))),
% 4.72/4.90 inference(quant_inst,[status(thm)],[])).
% 4.72/4.90 tff(8222,plain,
% 4.72/4.90 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node2(s1))),
% 4.72/4.90 inference(modus_ponens,[status(thm)],[8221, 8220])).
% 4.72/4.90 tff(8223,plain,
% 4.72/4.90 ($false),
% 4.72/4.90 inference(unit_resolution,[status(thm)],[8222, 2697, 1993, 8216, 8215])).
% 4.72/4.90 tff(8224,plain,(m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.90 tff(8225,plain,
% 4.72/4.90 (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)),
% 4.72/4.90 inference(unit_resolution,[status(thm)],[8224, 8214])).
% 4.72/4.90 tff(8226,plain,
% 4.72/4.90 (m_processor_v_CMD(c_p0, s1, c_write_h_shared)),
% 4.72/4.90 inference(unit_resolution,[status(thm)],[2175, 8210, 2000, 2160, 2158, 2157, 8225])).
% 4.72/4.90 tff(8227,plain,
% 4.72/4.90 (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_write_h_shared))),
% 4.72/4.90 inference(unit_resolution,[status(thm)],[2188, 1444, 2101])).
% 4.72/4.90 tff(8228,plain,
% 4.72/4.90 ($false),
% 4.72/4.90 inference(unit_resolution,[status(thm)],[8227, 8226, 8210, 2000, 2160, 2158, 2157])).
% 4.72/4.90 tff(8229,plain,((~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~node34(c_p0, s1, s2)) | (~node8(s1))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.90 tff(8230,plain,
% 4.72/4.90 (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)),
% 4.72/4.90 inference(unit_resolution,[status(thm)],[8229, 2157, 8173, 2000, 2101, 8193])).
% 4.72/4.90 tff(8231,assumption,(m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid)), introduced(assumption)).
% 4.72/4.90 tff(8232,plain,
% 4.72/4.90 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s1, c_write_h_resp_h_invalid) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid)))),
% 4.72/4.90 inference(rewrite,[status(thm)],[])).
% 4.72/4.90 tff(8233,plain,
% 4.72/4.90 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s1, c_write_h_resp_h_invalid) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid)))),
% 4.72/4.90 inference(quant_inst,[status(thm)],[])).
% 4.72/4.90 tff(8234,plain,
% 4.72/4.90 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid))),
% 4.72/4.90 inference(modus_ponens,[status(thm)],[8233, 8232])).
% 4.72/4.90 tff(8235,plain,
% 4.72/4.90 ($false),
% 4.72/4.90 inference(unit_resolution,[status(thm)],[8234, 2716, 8231, 3416, 5026])).
% 4.72/4.90 tff(8236,plain,((~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid)) | (~node8(s1)) | m_main_v_CMD(s1, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.90 tff(8237,plain,
% 4.72/4.90 (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid)),
% 4.72/4.90 inference(unit_resolution,[status(thm)],[8236, 8172, 8193])).
% 4.72/4.90 tff(8238,plain,
% 4.72/4.90 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_owned)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_owned)))),
% 4.72/4.90 inference(rewrite,[status(thm)],[])).
% 4.72/4.90 tff(8239,plain,
% 4.72/4.90 ((m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_owned)) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1)) <=> ((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_owned)))),
% 4.72/4.90 inference(rewrite,[status(thm)],[])).
% 4.72/4.90 tff(8240,plain,
% 4.72/4.90 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_owned)) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_owned))))),
% 4.72/4.90 inference(monotonicity,[status(thm)],[8239])).
% 4.72/4.90 tff(8241,plain,
% 4.72/4.90 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_owned)) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_owned)))),
% 4.72/4.90 inference(transitivity,[status(thm)],[8240, 8238])).
% 4.72/4.90 tff(8242,plain,
% 4.72/4.90 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_owned)) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1))),
% 4.72/4.90 inference(quant_inst,[status(thm)],[])).
% 4.72/4.90 tff(8243,plain,
% 4.72/4.90 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_owned))),
% 4.72/4.90 inference(modus_ponens,[status(thm)],[8242, 8241])).
% 4.72/4.90 tff(8244,plain,
% 4.72/4.90 ((~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_owned))),
% 4.72/4.90 inference(unit_resolution,[status(thm)],[8243, 5047, 3630, 1602])).
% 4.72/4.90 tff(8245,plain,
% 4.72/4.90 (~m_processor_v_snoop(c_p0, s1, c_owned)),
% 4.72/4.90 inference(unit_resolution,[status(thm)],[8244, 8237, 3631, 1845])).
% 4.72/4.90 tff(8246,plain,
% 4.72/4.90 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p0, s1, c_owned) | (~node64(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p0, s1, c_owned) | (~node64(c_p0, s1)))),
% 4.72/4.90 inference(rewrite,[status(thm)],[])).
% 4.72/4.90 tff(8247,plain,
% 4.72/4.90 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p0, s1, c_owned) | (~node64(c_p0, s1)))),
% 4.72/4.90 inference(quant_inst,[status(thm)],[])).
% 4.72/4.90 tff(8248,plain,
% 4.72/4.90 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p0, s1, c_owned) | (~node64(c_p0, s1))),
% 4.72/4.90 inference(modus_ponens,[status(thm)],[8247, 8246])).
% 4.72/4.90 tff(8249,plain,
% 4.72/4.90 (~node64(c_p0, s1)),
% 4.72/4.90 inference(unit_resolution,[status(thm)],[8248, 5062, 8245])).
% 4.72/4.90 tff(8250,plain,
% 4.72/4.90 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s1, c_shared)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s1, c_shared)))),
% 4.72/4.90 inference(rewrite,[status(thm)],[])).
% 4.72/4.90 tff(8251,plain,
% 4.72/4.90 ((m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s1, c_shared)) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1)) <=> ((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s1, c_shared)))),
% 4.72/4.90 inference(rewrite,[status(thm)],[])).
% 4.72/4.90 tff(8252,plain,
% 4.72/4.90 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s1, c_shared)) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s1, c_shared))))),
% 4.72/4.90 inference(monotonicity,[status(thm)],[8251])).
% 4.72/4.90 tff(8253,plain,
% 4.72/4.90 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s1, c_shared)) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s1, c_shared)))),
% 4.72/4.90 inference(transitivity,[status(thm)],[8252, 8250])).
% 4.72/4.90 tff(8254,plain,
% 4.72/4.90 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s1, c_shared)) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1))),
% 4.72/4.90 inference(quant_inst,[status(thm)],[])).
% 4.72/4.90 tff(8255,plain,
% 4.72/4.90 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s1, c_shared))),
% 4.72/4.90 inference(modus_ponens,[status(thm)],[8254, 8253])).
% 4.72/4.90 tff(8256,plain,
% 4.72/4.90 ((~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node64(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s1, c_shared))),
% 4.72/4.90 inference(unit_resolution,[status(thm)],[8255, 5090, 3630, 1602])).
% 4.72/4.90 tff(8257,plain,
% 4.72/4.90 (~m_processor_v_snoop(c_p0, s1, c_shared)),
% 4.72/4.90 inference(unit_resolution,[status(thm)],[8256, 8249, 3631, 1845, 8230])).
% 4.72/4.90 tff(8258,plain,
% 4.72/4.90 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_snoop(c_p0, s1, c_shared) | m_processor_v_snoop(c_p0, s1, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_snoop(c_p0, s1, c_shared) | m_processor_v_snoop(c_p0, s1, c_owned))),
% 4.72/4.90 inference(rewrite,[status(thm)],[])).
% 4.72/4.90 tff(8259,plain,
% 4.72/4.90 ((m_processor_v_snoop(c_p0, s1, c_shared) | m_processor_v_snoop(c_p0, s1, c_owned) | m_processor_v_snoop(c_p0, s1, c_invalid)) <=> (m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_snoop(c_p0, s1, c_shared) | m_processor_v_snoop(c_p0, s1, c_owned))),
% 4.72/4.90 inference(rewrite,[status(thm)],[])).
% 4.72/4.90 tff(8260,plain,
% 4.72/4.90 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s1, c_shared) | m_processor_v_snoop(c_p0, s1, c_owned) | m_processor_v_snoop(c_p0, s1, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_snoop(c_p0, s1, c_shared) | m_processor_v_snoop(c_p0, s1, c_owned)))),
% 4.72/4.90 inference(monotonicity,[status(thm)],[8259])).
% 4.72/4.90 tff(8261,plain,
% 4.72/4.90 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s1, c_shared) | m_processor_v_snoop(c_p0, s1, c_owned) | m_processor_v_snoop(c_p0, s1, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_snoop(c_p0, s1, c_shared) | m_processor_v_snoop(c_p0, s1, c_owned))),
% 4.72/4.90 inference(transitivity,[status(thm)],[8260, 8258])).
% 4.72/4.90 tff(8262,plain,
% 4.72/4.90 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s1, c_shared) | m_processor_v_snoop(c_p0, s1, c_owned) | m_processor_v_snoop(c_p0, s1, c_invalid))),
% 4.72/4.90 inference(quant_inst,[status(thm)],[])).
% 4.72/4.90 tff(8263,plain,
% 4.72/4.90 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_snoop(c_p0, s1, c_shared) | m_processor_v_snoop(c_p0, s1, c_owned)),
% 4.72/4.90 inference(modus_ponens,[status(thm)],[8262, 8261])).
% 4.72/4.90 tff(8264,plain,
% 4.72/4.90 (m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_snoop(c_p0, s1, c_shared)),
% 4.72/4.90 inference(unit_resolution,[status(thm)],[8263, 5108, 8245])).
% 4.72/4.90 tff(8265,plain,
% 4.72/4.90 (m_processor_v_snoop(c_p0, s1, c_invalid)),
% 4.72/4.90 inference(unit_resolution,[status(thm)],[8264, 8257])).
% 4.72/4.90 tff(8266,plain,
% 4.72/4.90 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p0, s1, c_shared) | (~node65(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p0, s1, c_shared) | (~node65(c_p0, s1)))),
% 4.72/4.90 inference(rewrite,[status(thm)],[])).
% 4.72/4.90 tff(8267,plain,
% 4.72/4.90 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p0, s1, c_shared) | (~node65(c_p0, s1)))),
% 4.72/4.90 inference(quant_inst,[status(thm)],[])).
% 4.72/4.90 tff(8268,plain,
% 4.72/4.90 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p0, s1, c_shared) | (~node65(c_p0, s1))),
% 4.72/4.90 inference(modus_ponens,[status(thm)],[8267, 8266])).
% 4.72/4.90 tff(8269,plain,
% 4.72/4.90 (~node65(c_p0, s1)),
% 4.72/4.90 inference(unit_resolution,[status(thm)],[8268, 5138, 8257])).
% 4.72/4.90 tff(8270,plain,
% 4.72/4.90 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1))),
% 4.72/4.90 inference(rewrite,[status(thm)],[])).
% 4.72/4.90 tff(8271,plain,
% 4.72/4.90 ((m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1)) <=> ((~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1))),
% 4.72/4.90 inference(rewrite,[status(thm)],[])).
% 4.72/4.90 tff(8272,plain,
% 4.72/4.90 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1)))),
% 4.72/4.90 inference(monotonicity,[status(thm)],[8271])).
% 4.72/4.90 tff(8273,plain,
% 4.72/4.90 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1))),
% 4.72/4.90 inference(transitivity,[status(thm)],[8272, 8270])).
% 4.72/4.90 tff(8274,plain,
% 4.72/4.90 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1))),
% 4.72/4.90 inference(quant_inst,[status(thm)],[])).
% 4.72/4.90 tff(8275,plain,
% 4.72/4.90 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1)),
% 4.72/4.90 inference(modus_ponens,[status(thm)],[8274, 8273])).
% 4.72/4.90 tff(8276,plain,
% 4.72/4.90 (m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_master(c_p0, s1)) | node62(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1)),
% 4.72/4.90 inference(unit_resolution,[status(thm)],[8275, 5126, 3630, 1602])).
% 4.72/4.90 tff(8277,plain,
% 4.72/4.90 (m_processor_v_cmd(c_p0, s1, c_write_h_invalid)),
% 4.72/4.90 inference(unit_resolution,[status(thm)],[8276, 8269, 3631, 1845, 8249, 8265])).
% 4.72/4.90 tff(8278,plain,
% 4.72/4.90 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_invalidate))) <=> ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_invalidate))))),
% 4.72/4.90 inference(bind,[status(th)],[])).
% 4.72/4.90 tff(8279,plain,
% 4.72/4.90 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_invalidate))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_invalidate)))),
% 4.72/4.90 inference(quant_intro,[status(thm)],[8278])).
% 4.72/4.90 tff(8280,plain,
% 4.72/4.90 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_invalidate))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_invalidate)))),
% 4.72/4.90 inference(rewrite,[status(thm)],[])).
% 4.72/4.90 tff(8281,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_invalidate)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_26')).
% 4.72/4.90 tff(8282,plain,
% 4.72/4.90 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_invalidate)))),
% 4.72/4.90 inference(modus_ponens,[status(thm)],[8281, 8280])).
% 4.72/4.90 tff(8283,plain,(
% 4.72/4.90 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_invalidate)))),
% 4.72/4.90 inference(skolemize,[status(sab)],[8282])).
% 4.72/4.90 tff(8284,plain,
% 4.72/4.90 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_invalidate)))),
% 4.72/4.90 inference(modus_ponens,[status(thm)],[8283, 8279])).
% 4.72/4.90 tff(8285,plain,
% 4.72/4.90 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p0, s1, c_invalidate)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | (~m_processor_v_cmd(c_p0, s1, c_invalidate)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)))),
% 4.72/4.90 inference(rewrite,[status(thm)],[])).
% 4.72/4.90 tff(8286,plain,
% 4.72/4.90 (((~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s1, c_invalidate))) <=> ((~m_processor_v_cmd(c_p0, s1, c_invalidate)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)))),
% 4.72/4.90 inference(rewrite,[status(thm)],[])).
% 4.72/4.90 tff(8287,plain,
% 4.72/4.90 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s1, c_invalidate)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p0, s1, c_invalidate)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid))))),
% 4.72/4.91 inference(monotonicity,[status(thm)],[8286])).
% 4.72/4.91 tff(8288,plain,
% 4.72/4.91 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s1, c_invalidate)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | (~m_processor_v_cmd(c_p0, s1, c_invalidate)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)))),
% 4.72/4.91 inference(transitivity,[status(thm)],[8287, 8285])).
% 4.72/4.91 tff(8289,plain,
% 4.72/4.91 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s1, c_invalidate)))),
% 4.72/4.91 inference(quant_inst,[status(thm)],[])).
% 4.72/4.91 tff(8290,plain,
% 4.72/4.91 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | (~m_processor_v_cmd(c_p0, s1, c_invalidate)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid))),
% 4.72/4.91 inference(modus_ponens,[status(thm)],[8289, 8288])).
% 4.72/4.91 tff(8291,plain,
% 4.72/4.91 (~m_processor_v_cmd(c_p0, s1, c_invalidate)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[8290, 8284, 8277])).
% 4.72/4.91 tff(8292,plain,
% 4.72/4.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_invalidate)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_invalidate))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s1, c_invalidate)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_invalidate))),
% 4.72/4.91 inference(rewrite,[status(thm)],[])).
% 4.72/4.91 tff(8293,plain,
% 4.72/4.91 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_invalidate)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_invalidate))),
% 4.72/4.91 inference(quant_inst,[status(thm)],[])).
% 4.72/4.91 tff(8294,plain,
% 4.72/4.91 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s1, c_invalidate)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_invalidate)),
% 4.72/4.91 inference(modus_ponens,[status(thm)],[8293, 8292])).
% 4.72/4.91 tff(8295,plain,
% 4.72/4.91 (~m_main_v_CMD(s1, c_invalidate)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[8294, 1069, 8193, 8291])).
% 4.72/4.91 tff(8296,plain,
% 4.72/4.91 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)))),
% 4.72/4.91 inference(rewrite,[status(thm)],[])).
% 4.72/4.91 tff(8297,plain,
% 4.72/4.91 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)))),
% 4.72/4.91 inference(quant_inst,[status(thm)],[])).
% 4.72/4.91 tff(8298,plain,
% 4.72/4.91 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid))),
% 4.72/4.91 inference(modus_ponens,[status(thm)],[8297, 8296])).
% 4.72/4.91 tff(8299,plain,
% 4.72/4.91 (~m_processor_v_cmd(c_p0, s1, c_idle)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[8298, 5861, 8277])).
% 4.72/4.91 tff(8300,plain,
% 4.72/4.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s1, c_idle) | (~node8(s1)) | (~m_main_v_CMD(s1, c_idle)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s1, c_idle) | (~node8(s1)) | (~m_main_v_CMD(s1, c_idle)))),
% 4.72/4.91 inference(rewrite,[status(thm)],[])).
% 4.72/4.91 tff(8301,plain,
% 4.72/4.91 (((~m_main_v_CMD(s1, c_idle)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_idle)) <=> (m_processor_v_cmd(c_p0, s1, c_idle) | (~node8(s1)) | (~m_main_v_CMD(s1, c_idle)))),
% 4.72/4.91 inference(rewrite,[status(thm)],[])).
% 4.72/4.91 tff(8302,plain,
% 4.72/4.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_idle)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_idle))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s1, c_idle) | (~node8(s1)) | (~m_main_v_CMD(s1, c_idle))))),
% 4.72/4.91 inference(monotonicity,[status(thm)],[8301])).
% 4.72/4.91 tff(8303,plain,
% 4.72/4.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_idle)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_idle))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s1, c_idle) | (~node8(s1)) | (~m_main_v_CMD(s1, c_idle)))),
% 4.72/4.91 inference(transitivity,[status(thm)],[8302, 8300])).
% 4.72/4.91 tff(8304,plain,
% 4.72/4.91 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_idle)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_idle))),
% 4.72/4.91 inference(quant_inst,[status(thm)],[])).
% 4.72/4.91 tff(8305,plain,
% 4.72/4.91 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s1, c_idle) | (~node8(s1)) | (~m_main_v_CMD(s1, c_idle))),
% 4.72/4.91 inference(modus_ponens,[status(thm)],[8304, 8303])).
% 4.72/4.91 tff(8306,plain,
% 4.72/4.91 (~m_main_v_CMD(s1, c_idle)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[8305, 1069, 8299, 8193])).
% 4.72/4.91 tff(8307,plain,
% 4.72/4.91 (~m_main_v_CMD(s1, c_read_h_shared)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[3219, 2697, 1993, 2160])).
% 4.72/4.91 tff(8308,assumption,(~m_main_v_CMD(s1, c_invalidate)), introduced(assumption)).
% 4.72/4.91 tff(8309,assumption,(~m_main_v_CMD(s1, c_idle)), introduced(assumption)).
% 4.72/4.91 tff(8310,plain,
% 4.72/4.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | (~m_main_v_CMD(s1, c_write_h_invalid)) | (~node2(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | (~m_main_v_CMD(s1, c_write_h_invalid)) | (~node2(s1)))),
% 4.72/4.91 inference(rewrite,[status(thm)],[])).
% 4.72/4.91 tff(8311,plain,
% 4.72/4.91 (((~m_main_v_CMD(s1, c_write_h_invalid)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid)) <=> (m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | (~m_main_v_CMD(s1, c_write_h_invalid)) | (~node2(s1)))),
% 4.72/4.91 inference(rewrite,[status(thm)],[])).
% 4.72/4.91 tff(8312,plain,
% 4.72/4.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_invalid)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | (~m_main_v_CMD(s1, c_write_h_invalid)) | (~node2(s1))))),
% 4.72/4.91 inference(monotonicity,[status(thm)],[8311])).
% 4.72/4.91 tff(8313,plain,
% 4.72/4.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_invalid)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | (~m_main_v_CMD(s1, c_write_h_invalid)) | (~node2(s1)))),
% 4.72/4.91 inference(transitivity,[status(thm)],[8312, 8310])).
% 4.72/4.91 tff(8314,plain,
% 4.72/4.91 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_invalid)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid))),
% 4.72/4.91 inference(quant_inst,[status(thm)],[])).
% 4.72/4.91 tff(8315,plain,
% 4.72/4.91 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | (~m_main_v_CMD(s1, c_write_h_invalid)) | (~node2(s1))),
% 4.72/4.91 inference(modus_ponens,[status(thm)],[8314, 8313])).
% 4.72/4.91 tff(8316,plain,
% 4.72/4.91 (~m_main_v_CMD(s1, c_write_h_invalid)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[8315, 2697, 1993, 2158])).
% 4.72/4.91 tff(8317,plain,
% 4.72/4.91 (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[8236, 5026, 8193])).
% 4.72/4.91 tff(8318,plain,
% 4.72/4.91 (~m_processor_v_snoop(c_p0, s1, c_owned)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[8244, 8317, 3631, 1845])).
% 4.72/4.91 tff(8319,plain,
% 4.72/4.91 (~node64(c_p0, s1)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[8248, 5062, 8318])).
% 4.72/4.91 tff(8320,assumption,(~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)), introduced(assumption)).
% 4.72/4.91 tff(8321,plain,
% 4.72/4.91 (~m_processor_v_snoop(c_p0, s1, c_shared)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[8256, 8320, 3631, 1845, 8319])).
% 4.72/4.91 tff(8322,plain,
% 4.72/4.91 (m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_snoop(c_p0, s1, c_shared)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[8263, 5108, 8318])).
% 4.72/4.91 tff(8323,plain,
% 4.72/4.91 (m_processor_v_snoop(c_p0, s1, c_invalid)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[8322, 8321])).
% 4.72/4.91 tff(8324,plain,
% 4.72/4.91 (~node65(c_p0, s1)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[8268, 5138, 8321])).
% 4.72/4.91 tff(8325,plain,
% 4.72/4.91 (m_processor_v_cmd(c_p0, s1, c_write_h_invalid)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[8276, 8324, 3631, 1845, 8319, 8323])).
% 4.72/4.91 tff(8326,plain,
% 4.72/4.91 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid))) <=> ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid))))),
% 4.72/4.91 inference(bind,[status(th)],[])).
% 4.72/4.91 tff(8327,plain,
% 4.72/4.91 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 4.72/4.91 inference(quant_intro,[status(thm)],[8326])).
% 4.72/4.91 tff(8328,plain,
% 4.72/4.91 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 4.72/4.91 inference(rewrite,[status(thm)],[])).
% 4.72/4.91 tff(8329,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_17')).
% 4.72/4.91 tff(8330,plain,
% 4.72/4.91 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 4.72/4.91 inference(modus_ponens,[status(thm)],[8329, 8328])).
% 4.72/4.91 tff(8331,plain,(
% 4.72/4.91 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 4.72/4.91 inference(skolemize,[status(sab)],[8330])).
% 4.72/4.91 tff(8332,plain,
% 4.72/4.91 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 4.72/4.91 inference(modus_ponens,[status(thm)],[8331, 8327])).
% 4.72/4.91 tff(8333,plain,
% 4.72/4.91 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)))),
% 4.72/4.91 inference(rewrite,[status(thm)],[])).
% 4.72/4.91 tff(8334,plain,
% 4.72/4.91 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)))),
% 4.72/4.91 inference(quant_inst,[status(thm)],[])).
% 4.72/4.91 tff(8335,plain,
% 4.72/4.91 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid))),
% 4.72/4.91 inference(modus_ponens,[status(thm)],[8334, 8333])).
% 4.72/4.91 tff(8336,plain,
% 4.72/4.91 (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[8335, 8332, 8325])).
% 4.72/4.91 tff(8337,plain,
% 4.72/4.91 (~m_main_v_CMD(s1, c_read_h_owned)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[8208, 1069, 8193, 8336])).
% 4.72/4.91 tff(8338,assumption,(~m_main_v_CMD(s1, c_write_h_invalid)), introduced(assumption)).
% 4.72/4.91 tff(8339,plain,
% 4.72/4.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node8(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node8(s1)))),
% 4.72/4.91 inference(rewrite,[status(thm)],[])).
% 4.72/4.91 tff(8340,plain,
% 4.72/4.91 (((~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)) <=> (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node8(s1)))),
% 4.72/4.91 inference(rewrite,[status(thm)],[])).
% 4.72/4.91 tff(8341,plain,
% 4.72/4.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node8(s1))))),
% 4.72/4.91 inference(monotonicity,[status(thm)],[8340])).
% 4.72/4.91 tff(8342,plain,
% 4.72/4.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node8(s1)))),
% 4.72/4.91 inference(transitivity,[status(thm)],[8341, 8339])).
% 4.72/4.91 tff(8343,plain,
% 4.72/4.91 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared))),
% 4.72/4.91 inference(quant_inst,[status(thm)],[])).
% 4.72/4.91 tff(8344,plain,
% 4.72/4.91 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node8(s1))),
% 4.72/4.91 inference(modus_ponens,[status(thm)],[8343, 8342])).
% 4.72/4.91 tff(8345,plain,
% 4.72/4.91 (~m_main_v_CMD(s1, c_write_h_resp_h_shared)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[8344, 1069, 8193, 8320])).
% 4.72/4.91 tff(8346,plain,
% 4.72/4.91 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s1, c_response)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p0, s1, c_response)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)))),
% 4.72/4.91 inference(rewrite,[status(thm)],[])).
% 4.72/4.91 tff(8347,plain,
% 4.72/4.91 (((~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s1, c_response))) <=> ((~m_processor_v_cmd(c_p0, s1, c_response)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)))),
% 4.72/4.91 inference(rewrite,[status(thm)],[])).
% 4.72/4.91 tff(8348,plain,
% 4.72/4.91 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s1, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s1, c_response)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid))))),
% 4.72/4.91 inference(monotonicity,[status(thm)],[8347])).
% 4.72/4.91 tff(8349,plain,
% 4.72/4.91 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s1, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p0, s1, c_response)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)))),
% 4.72/4.91 inference(transitivity,[status(thm)],[8348, 8346])).
% 4.72/4.91 tff(8350,plain,
% 4.72/4.91 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s1, c_response)))),
% 4.72/4.91 inference(quant_inst,[status(thm)],[])).
% 4.72/4.91 tff(8351,plain,
% 4.72/4.91 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p0, s1, c_response)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid))),
% 4.72/4.91 inference(modus_ponens,[status(thm)],[8350, 8349])).
% 4.72/4.91 tff(8352,plain,
% 4.72/4.91 (~m_processor_v_cmd(c_p0, s1, c_response)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[8351, 4969, 8325])).
% 4.72/4.91 tff(8353,plain,
% 4.72/4.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_response)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_response))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s1, c_response)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_response))),
% 4.72/4.91 inference(rewrite,[status(thm)],[])).
% 4.72/4.91 tff(8354,plain,
% 4.72/4.91 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_response)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_response))),
% 4.72/4.91 inference(quant_inst,[status(thm)],[])).
% 4.72/4.91 tff(8355,plain,
% 4.72/4.91 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s1, c_response)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_response)),
% 4.72/4.91 inference(modus_ponens,[status(thm)],[8354, 8353])).
% 4.72/4.91 tff(8356,plain,
% 4.72/4.91 (~m_main_v_CMD(s1, c_response)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[8355, 1069, 8193, 8352])).
% 4.72/4.91 tff(8357,plain,
% 4.72/4.91 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))) <=> ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))))),
% 4.72/4.91 inference(bind,[status(th)],[])).
% 4.72/4.91 tff(8358,plain,
% 4.72/4.91 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 4.72/4.91 inference(quant_intro,[status(thm)],[8357])).
% 4.72/4.91 tff(8359,plain,
% 4.72/4.91 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 4.72/4.91 inference(rewrite,[status(thm)],[])).
% 4.72/4.91 tff(8360,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_23')).
% 4.72/4.91 tff(8361,plain,
% 4.72/4.91 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 4.72/4.91 inference(modus_ponens,[status(thm)],[8360, 8359])).
% 4.72/4.91 tff(8362,plain,(
% 4.72/4.91 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 4.72/4.91 inference(skolemize,[status(sab)],[8361])).
% 4.72/4.91 tff(8363,plain,
% 4.72/4.91 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 4.72/4.91 inference(modus_ponens,[status(thm)],[8362, 8358])).
% 4.72/4.91 tff(8364,plain,
% 4.72/4.91 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | ((~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_shared)))),
% 4.72/4.91 inference(rewrite,[status(thm)],[])).
% 4.72/4.91 tff(8365,plain,
% 4.72/4.91 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | ((~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_shared)))),
% 4.72/4.91 inference(quant_inst,[status(thm)],[])).
% 4.72/4.91 tff(8366,plain,
% 4.72/4.91 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_shared))),
% 4.72/4.91 inference(modus_ponens,[status(thm)],[8365, 8364])).
% 4.72/4.91 tff(8367,plain,
% 4.72/4.91 (~m_processor_v_cmd(c_p0, s1, c_write_h_shared)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[8366, 8363, 8325])).
% 4.72/4.91 tff(8368,plain,
% 4.72/4.91 (~m_main_v_CMD(s1, c_write_h_shared)),
% 4.72/4.91 inference(unit_resolution,[status(thm)],[4596, 1069, 8193, 8367])).
% 4.72/4.91 tff(8369,plain,
% 4.72/4.91 (^[X: $i] : refl((m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) <=> (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)))),
% 4.72/4.91 inference(bind,[status(th)],[])).
% 4.72/4.91 tff(8370,plain,
% 4.72/4.91 (![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) <=> ![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))),
% 4.72/4.91 inference(quant_intro,[status(thm)],[8369])).
% 4.72/4.91 tff(8371,plain,
% 4.72/4.91 (![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) <=> ![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))),
% 4.72/4.91 inference(rewrite,[status(thm)],[])).
% 4.72/4.91 tff(8372,plain,
% 4.72/4.91 (^[X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) <=> (m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))), ((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) <=> ((m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_write_h_invalid)))), rewrite(((m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_write_h_invalid)) <=> (m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))), ((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) <=> (m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)))), (((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) <=> ((m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_write_h_shared)))), rewrite(((m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_write_h_shared)) <=> (m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))), (((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) <=> (m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)))), ((((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) <=> ((m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)))), rewrite(((m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) <=> (m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))), ((((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) <=> (m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)))), (((((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) | m_main_v_CMD(X, c_write_h_resp_h_shared)) <=> ((m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_write_h_resp_h_shared)))), rewrite(((m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_write_h_resp_h_shared)) <=> (m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))), (((((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) | m_main_v_CMD(X, c_write_h_resp_h_shared)) <=> (m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)))), ((((((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) | m_main_v_CMD(X, c_write_h_resp_h_shared)) | m_main_v_CMD(X, c_invalidate)) <=> ((m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_invalidate)))), rewrite(((m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_invalidate)) <=> (m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))), ((((((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) | m_main_v_CMD(X, c_write_h_resp_h_shared)) | m_main_v_CMD(X, c_invalidate)) <=> (m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)))), (((((((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) | m_main_v_CMD(X, c_write_h_resp_h_shared)) | m_main_v_CMD(X, c_invalidate)) | m_main_v_CMD(X, c_response)) <=> ((m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_response)))), rewrite(((m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_response)) <=> (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))), (((((((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) | m_main_v_CMD(X, c_write_h_resp_h_shared)) | m_main_v_CMD(X, c_invalidate)) | m_main_v_CMD(X, c_response)) <=> (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))))),
% 4.72/4.91 inference(bind,[status(th)],[])).
% 4.72/4.91 tff(8373,plain,
% 4.72/4.91 (![X: $i] : ((((((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) | m_main_v_CMD(X, c_write_h_resp_h_shared)) | m_main_v_CMD(X, c_invalidate)) | m_main_v_CMD(X, c_response)) <=> ![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))),
% 4.72/4.91 inference(quant_intro,[status(thm)],[8372])).
% 4.72/4.91 tff(8374,axiom,(![X: $i] : ((((((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) | m_main_v_CMD(X, c_write_h_resp_h_shared)) | m_main_v_CMD(X, c_invalidate)) | m_main_v_CMD(X, c_response))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_1')).
% 4.72/4.91 tff(8375,plain,
% 4.72/4.91 (![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))),
% 4.72/4.91 inference(modus_ponens,[status(thm)],[8374, 8373])).
% 4.72/4.91 tff(8376,plain,
% 4.72/4.91 (![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))),
% 4.72/4.91 inference(modus_ponens,[status(thm)],[8375, 8371])).
% 4.72/4.91 tff(8377,plain,(
% 4.72/4.91 ![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))),
% 4.72/4.91 inference(skolemize,[status(sab)],[8376])).
% 4.72/4.91 tff(8378,plain,
% 4.72/4.91 (![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))),
% 4.72/4.91 inference(modus_ponens,[status(thm)],[8377, 8370])).
% 4.72/4.91 tff(8379,plain,
% 4.72/4.91 (((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | (m_main_v_CMD(s1, c_idle) | m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared))) <=> ((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | m_main_v_CMD(s1, c_idle) | m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared))),
% 4.72/4.91 inference(rewrite,[status(thm)],[])).
% 4.72/4.91 tff(8380,plain,
% 4.72/4.91 ((m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared) | m_main_v_CMD(s1, c_idle)) <=> (m_main_v_CMD(s1, c_idle) | m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared))),
% 4.72/4.91 inference(rewrite,[status(thm)],[])).
% 4.72/4.91 tff(8381,plain,
% 4.72/4.91 (((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | (m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared) | m_main_v_CMD(s1, c_idle))) <=> ((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | (m_main_v_CMD(s1, c_idle) | m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared)))),
% 4.72/4.91 inference(monotonicity,[status(thm)],[8380])).
% 4.72/4.91 tff(8382,plain,
% 4.72/4.91 (((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | (m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared) | m_main_v_CMD(s1, c_idle))) <=> ((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | m_main_v_CMD(s1, c_idle) | m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared))),
% 4.72/4.91 inference(transitivity,[status(thm)],[8381, 8379])).
% 4.72/4.92 tff(8383,plain,
% 4.72/4.92 ((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | (m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared) | m_main_v_CMD(s1, c_idle))),
% 4.72/4.92 inference(quant_inst,[status(thm)],[])).
% 4.72/4.92 tff(8384,plain,
% 4.72/4.92 ((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | m_main_v_CMD(s1, c_idle) | m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared)),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8383, 8382])).
% 4.72/4.92 tff(8385,plain,
% 4.72/4.92 (m_main_v_CMD(s1, c_idle) | m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8384, 8378, 3423])).
% 4.72/4.92 tff(8386,plain,
% 4.72/4.92 ($false),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8385, 8368, 8356, 5026, 8309, 8308, 8345, 8338, 8337])).
% 4.72/4.92 tff(8387,plain,(m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_idle) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_shared) | node62(c_p0, s1) | (~m_processor_v_master(c_p0, s1)) | node63(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.92 tff(8388,plain,
% 4.72/4.92 (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8387, 8316, 8309, 8308, 5026, 8307, 3631, 1845, 3630, 1602])).
% 4.72/4.92 tff(8389,plain,
% 4.72/4.92 (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8204, 8201, 8388])).
% 4.72/4.92 tff(8390,plain,
% 4.72/4.92 (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8229, 8388, 2158, 2000, 2101, 8193])).
% 4.72/4.92 tff(8391,plain,
% 4.72/4.92 (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid))),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[2144, 1415, 2005, 2101])).
% 4.72/4.92 tff(8392,plain,
% 4.72/4.92 (m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8391, 8390, 2160, 2158])).
% 4.72/4.92 tff(8393,plain,
% 4.72/4.92 (m_main_v_CMD(s1, c_read_h_owned)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[1998, 8392])).
% 4.72/4.92 tff(8394,plain,
% 4.72/4.92 ($false),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8208, 1069, 8193, 8393, 8389])).
% 4.72/4.92 tff(8395,plain,(m_processor_v_CMD(c_p0, s1, c_write_h_invalid) | m_processor_v_state(c_p0, s2, c_invalid) | (~node34(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared) | m_main_v_CMD(s1, c_idle) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | node62(c_p0, s1) | (~m_processor_v_master(c_p0, s1)) | node63(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.92 tff(8396,plain,
% 4.72/4.92 ($false),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8395, 8306, 8295, 2101, 2000, 8173, 2005, 8172, 3631, 1845, 3630, 1602])).
% 4.72/4.92 tff(8397,plain,(m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~node34(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid) | node62(c_p0, s1) | (~m_processor_v_master(c_p0, s1)) | node63(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.92 tff(8398,plain,
% 4.72/4.92 (node62(c_p0, s1)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8397, 8165, 2005, 2000, 1845, 8163, 8160, 8154])).
% 4.72/4.92 tff(8399,plain,
% 4.72/4.92 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p0, s1, c_invalid) | (~node62(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p0, s1, c_invalid) | (~node62(c_p0, s1)))),
% 4.72/4.92 inference(rewrite,[status(thm)],[])).
% 4.72/4.92 tff(8400,plain,
% 4.72/4.92 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p0, s1, c_invalid) | (~node62(c_p0, s1)))),
% 4.72/4.92 inference(quant_inst,[status(thm)],[])).
% 4.72/4.92 tff(8401,plain,
% 4.72/4.92 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p0, s1, c_invalid) | (~node62(c_p0, s1))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8400, 8399])).
% 4.72/4.92 tff(8402,plain,
% 4.72/4.92 ($false),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8401, 2660, 8398, 8153])).
% 4.72/4.92 tff(8403,plain,((~m_processor_v_master(c_p0, s1)) | m_processor_v_state(c_p0, s2, c_invalid) | m_processor_v_state(c_p0, s2, c_shared) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared) | m_processor_v_abort(c_p0, s1)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.92 tff(8404,plain,
% 4.72/4.92 (m_main_v_CMD(s1, c_read_h_owned)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8403, 8139, 4537, 2000, 8137, 3197])).
% 4.72/4.92 tff(8405,plain,
% 4.72/4.92 (m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[3452, 8404])).
% 4.72/4.92 tff(8406,plain,
% 4.72/4.92 (node47(c_p0, s1)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[3460, 8405, 3198, 8137, 3197])).
% 4.72/4.92 tff(8407,plain,
% 4.72/4.92 ($false),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[3464, 2796, 8138, 8406])).
% 4.72/4.92 tff(8408,plain,(m_processor_v_state(c_p0, s1, c_owned) | m_processor_v_waiting(c_p0, s2) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_state(c_p0, s2, c_owned))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.92 tff(8409,plain,
% 4.72/4.92 (m_processor_v_state(c_p0, s1, c_owned)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8408, 8065, 8105, 8107])).
% 4.72/4.92 tff(8410,plain,
% 4.72/4.92 (m_memory_v_busy(c_m, s1)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[1767, 8409])).
% 4.72/4.92 tff(8411,assumption,(node18(c_m, s1, s2)), introduced(assumption)).
% 4.72/4.92 tff(8412,plain,
% 4.72/4.92 ($false),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[5383, 5377, 4780, 5253, 8411])).
% 4.72/4.92 tff(8413,plain,((~node18(c_m, s1, s2)) | (~m_memory_v_busy(c_m, s1)) | m_memory_v_busy(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.92 tff(8414,plain,
% 4.72/4.92 (~node18(c_m, s1, s2)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8413, 8410, 8136])).
% 4.72/4.92 tff(8415,plain,
% 4.72/4.92 (~m_memory_v_abort(c_m, s1)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[5366, 8414])).
% 4.72/4.92 tff(8416,assumption,(~node26(c_m, s1)), introduced(assumption)).
% 4.72/4.92 tff(8417,plain,
% 4.72/4.92 (((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | (m_memory_v_abort(c_m, s1) | node26(c_m, s1))) <=> ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | m_memory_v_abort(c_m, s1) | node26(c_m, s1))),
% 4.72/4.92 inference(rewrite,[status(thm)],[])).
% 4.72/4.92 tff(8418,plain,
% 4.72/4.92 ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | (m_memory_v_abort(c_m, s1) | node26(c_m, s1))),
% 4.72/4.92 inference(quant_inst,[status(thm)],[])).
% 4.72/4.92 tff(8419,plain,
% 4.72/4.92 ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | m_memory_v_abort(c_m, s1) | node26(c_m, s1)),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8418, 8417])).
% 4.72/4.92 tff(8420,plain,
% 4.72/4.92 ($false),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8419, 7220, 8416, 5257])).
% 4.72/4.92 tff(8421,plain,(m_memory_v_abort(c_m, s1) | node26(c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.92 tff(8422,plain,
% 4.72/4.92 (node26(c_m, s1)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8421, 8415])).
% 4.72/4.92 tff(8423,assumption,(m_processor_v_snoop(c_p0, s2, c_shared)), introduced(assumption)).
% 4.72/4.92 tff(8424,plain,
% 4.72/4.92 (^[I0: $i, X: $i] : refl(((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared))) <=> ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared))))),
% 4.72/4.92 inference(bind,[status(th)],[])).
% 4.72/4.92 tff(8425,plain,
% 4.72/4.92 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))),
% 4.72/4.92 inference(quant_intro,[status(thm)],[8424])).
% 4.72/4.92 tff(8426,plain,
% 4.72/4.92 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))),
% 4.72/4.92 inference(rewrite,[status(thm)],[])).
% 4.72/4.92 tff(8427,axiom,(![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_40')).
% 4.72/4.92 tff(8428,plain,
% 4.72/4.92 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8427, 8426])).
% 4.72/4.92 tff(8429,plain,(
% 4.72/4.92 ![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))),
% 4.72/4.92 inference(skolemize,[status(sab)],[8428])).
% 4.72/4.92 tff(8430,plain,
% 4.72/4.92 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8429, 8425])).
% 4.72/4.92 tff(8431,plain,
% 4.72/4.92 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_snoop(c_p0, s1, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_snoop(c_p0, s1, c_shared)))),
% 4.72/4.92 inference(rewrite,[status(thm)],[])).
% 4.72/4.92 tff(8432,plain,
% 4.72/4.92 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_snoop(c_p0, s1, c_shared)))),
% 4.72/4.92 inference(quant_inst,[status(thm)],[])).
% 4.72/4.92 tff(8433,plain,
% 4.72/4.92 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_snoop(c_p0, s1, c_shared))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8432, 8431])).
% 4.72/4.92 tff(8434,plain,
% 4.72/4.92 (~m_processor_v_snoop(c_p0, s1, c_shared)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8433, 8430, 7907])).
% 4.72/4.92 tff(8435,plain,
% 4.72/4.92 (^[V: $i, Y: $i, I0: $i, X: $i] : refl(((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V))) <=> ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V))))),
% 4.72/4.92 inference(bind,[status(th)],[])).
% 4.72/4.92 tff(8436,plain,
% 4.72/4.92 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))),
% 4.72/4.92 inference(quant_intro,[status(thm)],[8435])).
% 4.72/4.92 tff(8437,plain,
% 4.72/4.92 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))),
% 4.72/4.92 inference(rewrite,[status(thm)],[])).
% 4.72/4.92 tff(8438,plain,
% 4.72/4.92 (^[V: $i, Y: $i, I0: $i, X: $i] : rewrite((((~m_processor_v_snoop(I0, Y, V)) | m_processor_v_snoop(I0, X, V)) | (~node39(I0, X, Y))) <=> ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V))))),
% 4.72/4.92 inference(bind,[status(th)],[])).
% 4.72/4.92 tff(8439,plain,
% 4.72/4.92 (![V: $i, Y: $i, I0: $i, X: $i] : (((~m_processor_v_snoop(I0, Y, V)) | m_processor_v_snoop(I0, X, V)) | (~node39(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))),
% 4.72/4.92 inference(quant_intro,[status(thm)],[8438])).
% 4.72/4.92 tff(8440,axiom,(![V: $i, Y: $i, I0: $i, X: $i] : (((~m_processor_v_snoop(I0, Y, V)) | m_processor_v_snoop(I0, X, V)) | (~node39(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_74')).
% 4.72/4.92 tff(8441,plain,
% 4.72/4.92 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8440, 8439])).
% 4.72/4.92 tff(8442,plain,
% 4.72/4.92 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8441, 8437])).
% 4.72/4.92 tff(8443,plain,(
% 4.72/4.92 ![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))),
% 4.72/4.92 inference(skolemize,[status(sab)],[8442])).
% 4.72/4.92 tff(8444,plain,
% 4.72/4.92 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8443, 8436])).
% 4.72/4.92 tff(8445,plain,
% 4.72/4.92 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | (m_processor_v_snoop(c_p0, s1, c_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | (~node39(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | m_processor_v_snoop(c_p0, s1, c_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | (~node39(c_p0, s1, s2)))),
% 4.72/4.92 inference(rewrite,[status(thm)],[])).
% 4.72/4.92 tff(8446,plain,
% 4.72/4.92 (((~node39(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s1, c_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared))) <=> (m_processor_v_snoop(c_p0, s1, c_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | (~node39(c_p0, s1, s2)))),
% 4.72/4.92 inference(rewrite,[status(thm)],[])).
% 4.72/4.92 tff(8447,plain,
% 4.72/4.92 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | ((~node39(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s1, c_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | (m_processor_v_snoop(c_p0, s1, c_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | (~node39(c_p0, s1, s2))))),
% 4.72/4.92 inference(monotonicity,[status(thm)],[8446])).
% 4.72/4.92 tff(8448,plain,
% 4.72/4.92 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | ((~node39(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s1, c_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | m_processor_v_snoop(c_p0, s1, c_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | (~node39(c_p0, s1, s2)))),
% 4.72/4.92 inference(transitivity,[status(thm)],[8447, 8445])).
% 4.72/4.92 tff(8449,plain,
% 4.72/4.92 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | ((~node39(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s1, c_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)))),
% 4.72/4.92 inference(quant_inst,[status(thm)],[])).
% 4.72/4.92 tff(8450,plain,
% 4.72/4.92 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | m_processor_v_snoop(c_p0, s1, c_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | (~node39(c_p0, s1, s2))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8449, 8448])).
% 4.72/4.92 tff(8451,plain,
% 4.72/4.92 ($false),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8450, 8444, 8423, 8434, 7701])).
% 4.72/4.92 tff(8452,plain,((~node39(c_p0, s1, s2)) | (~m_processor_v_snoop(c_p0, s2, c_shared))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.92 tff(8453,plain,
% 4.72/4.92 (~node39(c_p0, s1, s2)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8452, 8423])).
% 4.72/4.92 tff(8454,plain,
% 4.72/4.92 (~m_processor_v_abort(c_p0, s1)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[7929, 8453])).
% 4.72/4.92 tff(8455,plain,
% 4.72/4.92 (^[V: $i, Y: $i, I0: $i, X: $i] : refl((m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y))) <=> (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y))))),
% 4.72/4.92 inference(bind,[status(th)],[])).
% 4.72/4.92 tff(8456,plain,
% 4.72/4.92 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))),
% 4.72/4.92 inference(quant_intro,[status(thm)],[8455])).
% 4.72/4.92 tff(8457,plain,
% 4.72/4.92 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))),
% 4.72/4.92 inference(rewrite,[status(thm)],[])).
% 4.72/4.92 tff(8458,plain,
% 4.72/4.92 (^[V: $i, Y: $i, I0: $i, X: $i] : rewrite((((~m_processor_v_snoop(I0, Y, V)) | m_processor_v_snoop(I0, X, V)) | (~node44(I0, X, Y))) <=> (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y))))),
% 4.72/4.92 inference(bind,[status(th)],[])).
% 4.72/4.92 tff(8459,plain,
% 4.72/4.92 (![V: $i, Y: $i, I0: $i, X: $i] : (((~m_processor_v_snoop(I0, Y, V)) | m_processor_v_snoop(I0, X, V)) | (~node44(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))),
% 4.72/4.92 inference(quant_intro,[status(thm)],[8458])).
% 4.72/4.92 tff(8460,axiom,(![V: $i, Y: $i, I0: $i, X: $i] : (((~m_processor_v_snoop(I0, Y, V)) | m_processor_v_snoop(I0, X, V)) | (~node44(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_86')).
% 4.72/4.92 tff(8461,plain,
% 4.72/4.92 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8460, 8459])).
% 4.72/4.92 tff(8462,plain,
% 4.72/4.92 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8461, 8457])).
% 4.72/4.92 tff(8463,plain,(
% 4.72/4.92 ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))),
% 4.72/4.92 inference(skolemize,[status(sab)],[8462])).
% 4.72/4.92 tff(8464,plain,
% 4.72/4.92 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8463, 8456])).
% 4.72/4.92 tff(8465,plain,
% 4.72/4.92 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s1, c_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | (~node44(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s1, c_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | (~node44(c_p0, s1, s2)))),
% 4.72/4.92 inference(rewrite,[status(thm)],[])).
% 4.72/4.92 tff(8466,plain,
% 4.72/4.92 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s1, c_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | (~node44(c_p0, s1, s2)))),
% 4.72/4.92 inference(quant_inst,[status(thm)],[])).
% 4.72/4.92 tff(8467,plain,
% 4.72/4.92 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s1, c_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | (~node44(c_p0, s1, s2))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8466, 8465])).
% 4.72/4.92 tff(8468,plain,
% 4.72/4.92 ($false),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8467, 8464, 8423, 8066, 8434])).
% 4.72/4.92 tff(8469,plain,((~node44(c_p0, s1, s2)) | (~m_processor_v_snoop(c_p0, s2, c_shared))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.92 tff(8470,plain,
% 4.72/4.92 (~node44(c_p0, s1, s2)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8469, 8423])).
% 4.72/4.92 tff(8471,assumption,(~node44(c_p0, s1, s2)), introduced(assumption)).
% 4.72/4.92 tff(8472,assumption,(node40(c_p0, s1)), introduced(assumption)).
% 4.72/4.92 tff(8473,plain,
% 4.72/4.92 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s1, c_read_h_shared) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)))),
% 4.72/4.92 inference(rewrite,[status(thm)],[])).
% 4.72/4.92 tff(8474,plain,
% 4.72/4.92 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)))),
% 4.72/4.92 inference(quant_inst,[status(thm)],[])).
% 4.72/4.92 tff(8475,plain,
% 4.72/4.92 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s1, c_read_h_shared) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8474, 8473])).
% 4.72/4.92 tff(8476,plain,
% 4.72/4.92 (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8475, 1749, 1993, 3423])).
% 4.72/4.92 tff(8477,plain,
% 4.72/4.92 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X))))),
% 4.72/4.92 inference(bind,[status(th)],[])).
% 4.72/4.92 tff(8478,plain,
% 4.72/4.92 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))),
% 4.72/4.92 inference(quant_intro,[status(thm)],[8477])).
% 4.72/4.92 tff(8479,plain,
% 4.72/4.92 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))),
% 4.72/4.92 inference(rewrite,[status(thm)],[])).
% 4.72/4.92 tff(8480,axiom,(![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_77')).
% 4.72/4.92 tff(8481,plain,
% 4.72/4.92 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8480, 8479])).
% 4.72/4.92 tff(8482,plain,(
% 4.72/4.92 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))),
% 4.72/4.92 inference(skolemize,[status(sab)],[8481])).
% 4.72/4.92 tff(8483,plain,
% 4.72/4.92 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8482, 8478])).
% 4.72/4.92 tff(8484,plain,
% 4.72/4.92 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node40(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node40(c_p0, s1)))),
% 4.72/4.92 inference(rewrite,[status(thm)],[])).
% 4.72/4.92 tff(8485,plain,
% 4.72/4.92 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node40(c_p0, s1)))),
% 4.72/4.92 inference(quant_inst,[status(thm)],[])).
% 4.72/4.92 tff(8486,plain,
% 4.72/4.92 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node40(c_p0, s1))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8485, 8484])).
% 4.72/4.92 tff(8487,plain,
% 4.72/4.92 ($false),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8486, 8483, 8476, 8472])).
% 4.72/4.92 tff(8488,plain,((~node40(c_p0, s1)) | m_main_v_CMD(s1, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.92 tff(8489,plain,
% 4.72/4.92 (~node40(c_p0, s1)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8488, 3423])).
% 4.72/4.92 tff(8490,assumption,(~node40(c_p0, s1)), introduced(assumption)).
% 4.72/4.92 tff(8491,assumption,(~node41(c_p0, s1)), introduced(assumption)).
% 4.72/4.92 tff(8492,plain,
% 4.72/4.92 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node43(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node43(c_p0, s1)))),
% 4.72/4.92 inference(rewrite,[status(thm)],[])).
% 4.72/4.92 tff(8493,plain,
% 4.72/4.92 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node43(c_p0, s1)))),
% 4.72/4.92 inference(quant_inst,[status(thm)],[])).
% 4.72/4.92 tff(8494,plain,
% 4.72/4.92 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node43(c_p0, s1))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8493, 8492])).
% 4.72/4.92 tff(8495,plain,
% 4.72/4.92 (~node43(c_p0, s1)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8494, 7824, 1791])).
% 4.72/4.92 tff(8496,plain,
% 4.72/4.92 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node42(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node42(c_p0, s1)))),
% 4.72/4.92 inference(rewrite,[status(thm)],[])).
% 4.72/4.92 tff(8497,plain,
% 4.72/4.92 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node42(c_p0, s1)))),
% 4.72/4.92 inference(quant_inst,[status(thm)],[])).
% 4.72/4.92 tff(8498,plain,
% 4.72/4.92 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node42(c_p0, s1))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8497, 8496])).
% 4.72/4.92 tff(8499,plain,
% 4.72/4.92 (~node42(c_p0, s1)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8498, 7869, 1791])).
% 4.72/4.92 tff(8500,plain,
% 4.72/4.92 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s1) | node43(c_p0, s1) | node42(c_p0, s1) | node44(c_p0, s1, s2) | node41(c_p0, s1) | node40(c_p0, s1) | (~node45(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s1) | node43(c_p0, s1) | node42(c_p0, s1) | node44(c_p0, s1, s2) | node41(c_p0, s1) | node40(c_p0, s1) | (~node45(c_p0, s1, s2)))),
% 4.72/4.92 inference(rewrite,[status(thm)],[])).
% 4.72/4.92 tff(8501,plain,
% 4.72/4.92 ((m_processor_v_abort(c_p0, s1) | node40(c_p0, s1) | node41(c_p0, s1) | node42(c_p0, s1) | node43(c_p0, s1) | node44(c_p0, s1, s2) | (~node45(c_p0, s1, s2))) <=> (m_processor_v_abort(c_p0, s1) | node43(c_p0, s1) | node42(c_p0, s1) | node44(c_p0, s1, s2) | node41(c_p0, s1) | node40(c_p0, s1) | (~node45(c_p0, s1, s2)))),
% 4.72/4.92 inference(rewrite,[status(thm)],[])).
% 4.72/4.92 tff(8502,plain,
% 4.72/4.92 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s1) | node40(c_p0, s1) | node41(c_p0, s1) | node42(c_p0, s1) | node43(c_p0, s1) | node44(c_p0, s1, s2) | (~node45(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s1) | node43(c_p0, s1) | node42(c_p0, s1) | node44(c_p0, s1, s2) | node41(c_p0, s1) | node40(c_p0, s1) | (~node45(c_p0, s1, s2))))),
% 4.72/4.92 inference(monotonicity,[status(thm)],[8501])).
% 4.72/4.92 tff(8503,plain,
% 4.72/4.92 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s1) | node40(c_p0, s1) | node41(c_p0, s1) | node42(c_p0, s1) | node43(c_p0, s1) | node44(c_p0, s1, s2) | (~node45(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s1) | node43(c_p0, s1) | node42(c_p0, s1) | node44(c_p0, s1, s2) | node41(c_p0, s1) | node40(c_p0, s1) | (~node45(c_p0, s1, s2)))),
% 4.72/4.92 inference(transitivity,[status(thm)],[8502, 8500])).
% 4.72/4.92 tff(8504,plain,
% 4.72/4.92 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s1) | node40(c_p0, s1) | node41(c_p0, s1) | node42(c_p0, s1) | node43(c_p0, s1) | node44(c_p0, s1, s2) | (~node45(c_p0, s1, s2)))),
% 4.72/4.92 inference(quant_inst,[status(thm)],[])).
% 4.72/4.92 tff(8505,plain,
% 4.72/4.92 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s1) | node43(c_p0, s1) | node42(c_p0, s1) | node44(c_p0, s1, s2) | node41(c_p0, s1) | node40(c_p0, s1) | (~node45(c_p0, s1, s2))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8504, 8503])).
% 4.72/4.92 tff(8506,plain,
% 4.72/4.92 (m_processor_v_abort(c_p0, s1) | node43(c_p0, s1) | node42(c_p0, s1) | node44(c_p0, s1, s2) | node41(c_p0, s1) | node40(c_p0, s1)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8505, 7772, 7922])).
% 4.72/4.92 tff(8507,plain,
% 4.72/4.92 ($false),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8506, 8499, 8495, 8471, 7562, 8491, 8490])).
% 4.72/4.92 tff(8508,plain,(m_processor_v_master(c_p0, s1) | node44(c_p0, s1, s2) | m_processor_v_abort(c_p0, s1) | node41(c_p0, s1) | node40(c_p0, s1)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.92 tff(8509,plain,
% 4.72/4.92 (node41(c_p0, s1)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8508, 8490, 8471, 1791, 7562])).
% 4.72/4.92 tff(8510,plain,
% 4.72/4.92 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X))))),
% 4.72/4.92 inference(bind,[status(th)],[])).
% 4.72/4.92 tff(8511,plain,
% 4.72/4.92 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))),
% 4.72/4.92 inference(quant_intro,[status(thm)],[8510])).
% 4.72/4.92 tff(8512,plain,
% 4.72/4.92 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))),
% 4.72/4.92 inference(rewrite,[status(thm)],[])).
% 4.72/4.92 tff(8513,axiom,(![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_80')).
% 4.72/4.92 tff(8514,plain,
% 4.72/4.92 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8513, 8512])).
% 4.72/4.92 tff(8515,plain,(
% 4.72/4.92 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))),
% 4.72/4.92 inference(skolemize,[status(sab)],[8514])).
% 4.72/4.92 tff(8516,plain,
% 4.72/4.92 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8515, 8511])).
% 4.72/4.92 tff(8517,plain,
% 4.72/4.92 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node41(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node41(c_p0, s1)))),
% 4.72/4.92 inference(rewrite,[status(thm)],[])).
% 4.72/4.92 tff(8518,plain,
% 4.72/4.92 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node41(c_p0, s1)))),
% 4.72/4.92 inference(quant_inst,[status(thm)],[])).
% 4.72/4.92 tff(8519,plain,
% 4.72/4.92 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node41(c_p0, s1))),
% 4.72/4.92 inference(modus_ponens,[status(thm)],[8518, 8517])).
% 4.72/4.92 tff(8520,plain,
% 4.72/4.92 (m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 4.72/4.92 inference(unit_resolution,[status(thm)],[8519, 8516, 8509])).
% 4.72/4.92 tff(8521,plain,
% 4.72/4.92 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | (m_processor_v_state(c_p0, s1, c_owned) | (~node41(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | m_processor_v_state(c_p0, s1, c_owned) | (~node41(c_p0, s1)))),
% 4.72/4.93 inference(rewrite,[status(thm)],[])).
% 4.72/4.93 tff(8522,plain,
% 4.72/4.93 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | (m_processor_v_state(c_p0, s1, c_owned) | (~node41(c_p0, s1)))),
% 4.72/4.93 inference(quant_inst,[status(thm)],[])).
% 4.72/4.93 tff(8523,plain,
% 4.72/4.93 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | m_processor_v_state(c_p0, s1, c_owned) | (~node41(c_p0, s1))),
% 4.72/4.93 inference(modus_ponens,[status(thm)],[8522, 8521])).
% 4.72/4.93 tff(8524,plain,
% 4.72/4.93 (m_processor_v_state(c_p0, s1, c_owned)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[8523, 7758, 8509])).
% 4.72/4.93 tff(8525,plain,
% 4.72/4.93 (^[Y: $i, I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned)) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned)))),
% 4.72/4.93 inference(bind,[status(th)],[])).
% 4.72/4.93 tff(8526,plain,
% 4.72/4.93 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))),
% 4.72/4.93 inference(quant_intro,[status(thm)],[8525])).
% 4.72/4.93 tff(8527,plain,
% 4.72/4.93 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))),
% 4.72/4.93 inference(rewrite,[status(thm)],[])).
% 4.72/4.93 tff(8528,plain,
% 4.72/4.93 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) <=> (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X))), ((((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X)) | (~m_processor_v_state(I0, X, c_owned))))), rewrite(((m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X))), ((((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X)))), (((((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> (((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X)) | (~m_processor_v_CMD(I0, X, c_read_h_shared))))), rewrite((((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X)) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X))), (((((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X)))), ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_owned)) <=> (((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_snoop(I0, Y, c_owned)))), rewrite((((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_snoop(I0, Y, c_owned)) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | m_processor_v_snoop(I0, Y, c_owned))), ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_owned)) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | m_processor_v_snoop(I0, Y, c_owned)))), (((((((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_owned)) | (~node45(I0, X, Y))) <=> (((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | m_processor_v_snoop(I0, Y, c_owned)) | (~node45(I0, X, Y))))), rewrite((((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | m_processor_v_snoop(I0, Y, c_owned)) | (~node45(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))), (((((((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_owned)) | (~node45(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))))),
% 4.72/4.93 inference(bind,[status(th)],[])).
% 4.72/4.93 tff(8529,plain,
% 4.72/4.93 (![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_owned)) | (~node45(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))),
% 4.72/4.93 inference(quant_intro,[status(thm)],[8528])).
% 4.72/4.93 tff(8530,axiom,(![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_owned)) | (~node45(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_89')).
% 4.72/4.93 tff(8531,plain,
% 4.72/4.93 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))),
% 4.72/4.93 inference(modus_ponens,[status(thm)],[8530, 8529])).
% 4.72/4.93 tff(8532,plain,
% 4.72/4.93 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))),
% 4.72/4.93 inference(modus_ponens,[status(thm)],[8531, 8527])).
% 4.72/4.93 tff(8533,plain,(
% 4.72/4.93 ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))),
% 4.72/4.93 inference(skolemize,[status(sab)],[8532])).
% 4.72/4.93 tff(8534,plain,
% 4.72/4.93 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))),
% 4.72/4.93 inference(modus_ponens,[status(thm)],[8533, 8526])).
% 4.72/4.93 tff(8535,plain,
% 4.72/4.93 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_owned) | node40(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node45(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | (~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_owned) | node40(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node45(c_p0, s1, s2)))),
% 4.72/4.93 inference(rewrite,[status(thm)],[])).
% 4.72/4.93 tff(8536,plain,
% 4.72/4.93 (((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | node40(c_p0, s1) | (~node45(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_owned)) <=> ((~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_owned) | node40(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node45(c_p0, s1, s2)))),
% 4.72/4.93 inference(rewrite,[status(thm)],[])).
% 4.72/4.93 tff(8537,plain,
% 4.72/4.93 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | node40(c_p0, s1) | (~node45(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_owned))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_owned) | node40(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node45(c_p0, s1, s2))))),
% 4.72/4.93 inference(monotonicity,[status(thm)],[8536])).
% 4.72/4.93 tff(8538,plain,
% 4.72/4.93 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | node40(c_p0, s1) | (~node45(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_owned))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | (~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_owned) | node40(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node45(c_p0, s1, s2)))),
% 4.72/4.93 inference(transitivity,[status(thm)],[8537, 8535])).
% 4.72/4.93 tff(8539,plain,
% 4.72/4.93 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | node40(c_p0, s1) | (~node45(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_owned))),
% 4.72/4.93 inference(quant_inst,[status(thm)],[])).
% 4.72/4.93 tff(8540,plain,
% 4.72/4.93 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | (~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_owned) | node40(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node45(c_p0, s1, s2))),
% 4.72/4.93 inference(modus_ponens,[status(thm)],[8539, 8538])).
% 4.72/4.93 tff(8541,plain,
% 4.72/4.93 ((~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_owned) | node40(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared))),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[8540, 8534, 7922])).
% 4.72/4.93 tff(8542,plain,
% 4.72/4.93 (m_processor_v_snoop(c_p0, s2, c_owned)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[8541, 8524, 1791, 7562, 8520, 8490])).
% 4.72/4.93 tff(8543,plain,
% 4.72/4.93 (^[Y: $i, I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared)) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared)))),
% 4.72/4.93 inference(bind,[status(th)],[])).
% 4.72/4.93 tff(8544,plain,
% 4.72/4.93 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))),
% 4.72/4.93 inference(quant_intro,[status(thm)],[8543])).
% 4.72/4.93 tff(8545,plain,
% 4.72/4.93 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))),
% 4.72/4.93 inference(rewrite,[status(thm)],[])).
% 4.72/4.93 tff(8546,plain,
% 4.72/4.93 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X))), ((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> (((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | (~m_processor_v_CMD(I0, X, c_read_h_shared))))), rewrite((((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X))), ((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)))), (((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_shared)) <=> (((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | m_processor_v_snoop(I0, Y, c_shared)))), rewrite((((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | m_processor_v_snoop(I0, Y, c_shared)) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | m_processor_v_snoop(I0, Y, c_shared))), (((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_shared)) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | m_processor_v_snoop(I0, Y, c_shared)))), ((((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_shared)) | (~node45(I0, X, Y))) <=> (((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | m_processor_v_snoop(I0, Y, c_shared)) | (~node45(I0, X, Y))))), rewrite((((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | m_processor_v_snoop(I0, Y, c_shared)) | (~node45(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))), ((((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_shared)) | (~node45(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))))),
% 4.72/4.93 inference(bind,[status(th)],[])).
% 4.72/4.93 tff(8547,plain,
% 4.72/4.93 (![Y: $i, I0: $i, X: $i] : (((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_shared)) | (~node45(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))),
% 4.72/4.93 inference(quant_intro,[status(thm)],[8546])).
% 4.72/4.93 tff(8548,axiom,(![Y: $i, I0: $i, X: $i] : (((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_shared)) | (~node45(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_88')).
% 4.72/4.93 tff(8549,plain,
% 4.72/4.93 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))),
% 4.72/4.93 inference(modus_ponens,[status(thm)],[8548, 8547])).
% 4.72/4.93 tff(8550,plain,
% 4.72/4.93 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))),
% 4.72/4.93 inference(modus_ponens,[status(thm)],[8549, 8545])).
% 4.72/4.93 tff(8551,plain,(
% 4.72/4.93 ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))),
% 4.72/4.93 inference(skolemize,[status(sab)],[8550])).
% 4.72/4.93 tff(8552,plain,
% 4.72/4.93 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))),
% 4.72/4.93 inference(modus_ponens,[status(thm)],[8551, 8544])).
% 4.72/4.93 tff(8553,plain,
% 4.72/4.93 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node45(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node45(c_p0, s1, s2)))),
% 4.72/4.93 inference(rewrite,[status(thm)],[])).
% 4.72/4.93 tff(8554,plain,
% 4.72/4.93 (((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | (~node45(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_shared)) <=> ((~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node45(c_p0, s1, s2)))),
% 4.72/4.93 inference(rewrite,[status(thm)],[])).
% 4.72/4.93 tff(8555,plain,
% 4.72/4.93 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | (~node45(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node45(c_p0, s1, s2))))),
% 4.72/4.93 inference(monotonicity,[status(thm)],[8554])).
% 4.72/4.93 tff(8556,plain,
% 4.72/4.93 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | (~node45(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node45(c_p0, s1, s2)))),
% 4.72/4.93 inference(transitivity,[status(thm)],[8555, 8553])).
% 4.72/4.93 tff(8557,plain,
% 4.72/4.93 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | (~node45(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_shared))),
% 4.72/4.93 inference(quant_inst,[status(thm)],[])).
% 4.72/4.93 tff(8558,plain,
% 4.72/4.93 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node45(c_p0, s1, s2))),
% 4.72/4.93 inference(modus_ponens,[status(thm)],[8557, 8556])).
% 4.72/4.93 tff(8559,plain,
% 4.72/4.93 ((~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared))),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[8558, 8552, 7922])).
% 4.72/4.93 tff(8560,plain,
% 4.72/4.93 (m_processor_v_snoop(c_p0, s2, c_shared)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[8559, 8524, 1791, 7562, 8520])).
% 4.72/4.93 tff(8561,plain,
% 4.72/4.93 (^[I0: $i, X: $i] : refl(((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared))) <=> ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared))))),
% 4.72/4.93 inference(bind,[status(th)],[])).
% 4.72/4.93 tff(8562,plain,
% 4.72/4.93 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))),
% 4.72/4.93 inference(quant_intro,[status(thm)],[8561])).
% 4.72/4.93 tff(8563,plain,
% 4.72/4.93 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))),
% 4.72/4.93 inference(rewrite,[status(thm)],[])).
% 4.72/4.93 tff(8564,axiom,(![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_41')).
% 4.72/4.93 tff(8565,plain,
% 4.72/4.93 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))),
% 4.72/4.93 inference(modus_ponens,[status(thm)],[8564, 8563])).
% 4.72/4.93 tff(8566,plain,(
% 4.72/4.93 ![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))),
% 4.72/4.93 inference(skolemize,[status(sab)],[8565])).
% 4.72/4.93 tff(8567,plain,
% 4.72/4.93 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))),
% 4.72/4.93 inference(modus_ponens,[status(thm)],[8566, 8562])).
% 4.72/4.93 tff(8568,plain,
% 4.72/4.93 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s2, c_owned)) | (~m_processor_v_snoop(c_p0, s2, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s2, c_owned)) | (~m_processor_v_snoop(c_p0, s2, c_shared)))),
% 4.72/4.93 inference(rewrite,[status(thm)],[])).
% 4.72/4.93 tff(8569,plain,
% 4.72/4.93 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s2, c_owned)) | (~m_processor_v_snoop(c_p0, s2, c_shared)))),
% 4.72/4.93 inference(quant_inst,[status(thm)],[])).
% 4.72/4.93 tff(8570,plain,
% 4.72/4.93 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s2, c_owned)) | (~m_processor_v_snoop(c_p0, s2, c_shared))),
% 4.72/4.93 inference(modus_ponens,[status(thm)],[8569, 8568])).
% 4.72/4.93 tff(8571,plain,
% 4.72/4.93 ($false),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[8570, 8567, 8560, 8542])).
% 4.72/4.93 tff(8572,plain,(node40(c_p0, s1) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | node44(c_p0, s1, s2)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.93 tff(8573,plain,
% 4.72/4.93 (m_processor_v_master(c_p0, s1)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[8572, 8489, 7562, 8471])).
% 4.72/4.93 tff(8574,plain,
% 4.72/4.93 (m_main_v_CMD(s1, c_read_h_owned)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[8403, 8573, 2000, 2005, 3423, 7562])).
% 4.72/4.93 tff(8575,plain,
% 4.72/4.93 (m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[3452, 8574])).
% 4.72/4.93 tff(8576,plain,
% 4.72/4.93 (node34(c_p0, s1, s2)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[2098, 8573, 7562])).
% 4.72/4.93 tff(8577,plain,
% 4.72/4.93 (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[2109, 8576, 2000])).
% 4.72/4.93 tff(8578,plain,
% 4.72/4.93 (~node47(c_p0, s1)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[3464, 2796, 8577])).
% 4.72/4.93 tff(8579,plain,
% 4.72/4.93 (m_processor_v_waiting(c_p0, s2)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[3460, 8578, 8573, 8575, 7562])).
% 4.72/4.93 tff(8580,plain,
% 4.72/4.93 (m_processor_v_reply_h_waiting(c_p0, s2)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[8064, 8579])).
% 4.72/4.93 tff(8581,plain,
% 4.72/4.93 (~node6(s2)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[8054, 8580])).
% 4.72/4.93 tff(8582,plain,
% 4.72/4.93 (m_main_v_REPLY_h_WAITING(s2)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[3929, 8581])).
% 4.72/4.93 tff(8583,plain,
% 4.72/4.93 (m_processor_v_REPLY_h_WAITING(c_p1, s2)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[8046, 8582])).
% 4.72/4.93 tff(8584,plain,
% 4.72/4.93 (node60(c_p0, s1)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[7564, 7562])).
% 4.72/4.93 tff(8585,plain,
% 4.72/4.93 (~m_processor_v_REPLY_h_STALL(c_p0, s1)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[4633, 8584])).
% 4.72/4.93 tff(8586,plain,
% 4.72/4.93 (~m_main_v_REPLY_h_STALL(s1)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[4641, 8585])).
% 4.72/4.93 tff(8587,plain,
% 4.72/4.93 (~m_processor_v_REPLY_h_STALL(c_p1, s1)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[4659, 8586])).
% 4.72/4.93 tff(8588,plain,
% 4.72/4.93 (~node59(c_p0, s1)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[4605, 3868, 8575])).
% 4.72/4.93 tff(8589,plain,
% 4.72/4.93 ((~m_processor_v_REPLY_h_WAITING(c_p0, s1)) | node59(c_p0, s1)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[4616, 3889, 8584])).
% 4.72/4.93 tff(8590,plain,
% 4.72/4.93 (~m_processor_v_REPLY_h_WAITING(c_p0, s1)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[8589, 8588])).
% 4.72/4.93 tff(8591,plain,
% 4.72/4.93 (~m_main_v_REPLY_h_WAITING(s1)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[4625, 8590])).
% 4.72/4.93 tff(8592,assumption,(~m_main_v_REPLY_h_WAITING(s1)), introduced(assumption)).
% 4.72/4.93 tff(8593,plain,
% 4.72/4.93 ($false),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[4706, 4703, 5456, 8592])).
% 4.72/4.93 tff(8594,plain,(m_main_v_REPLY_h_WAITING(s1) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.93 tff(8595,plain,
% 4.72/4.93 (~m_processor_v_REPLY_h_WAITING(c_p1, s1)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[8594, 8591])).
% 4.72/4.93 tff(8596,plain,
% 4.72/4.93 (~node61(c_p1, s1)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[4692, 8595])).
% 4.72/4.93 tff(8597,plain,
% 4.72/4.93 (~m_processor_v_abort(c_p1, s1)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[4677, 8596, 8587])).
% 4.72/4.93 tff(8598,plain,
% 4.72/4.93 (m_processor_v_CMD(c_p1, s1, c_read_h_owned)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[1986, 8574])).
% 4.72/4.93 tff(8599,plain,
% 4.72/4.93 (~node35(c_p1, s1)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[1971, 8598])).
% 4.72/4.93 tff(8600,plain,
% 4.72/4.93 (~m_processor_v_master(c_p1, s1)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[1850, 8573])).
% 4.72/4.93 tff(8601,plain,
% 4.72/4.93 (node37(c_p1, s1, s2)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[1882, 1852, 1853, 1863])).
% 4.72/4.93 tff(8602,plain,
% 4.72/4.93 (~m_processor_v_state(c_p1, s2, c_shared)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[1861, 8601, 1852])).
% 4.72/4.93 tff(8603,plain,
% 4.72/4.93 (m_processor_v_state(c_p1, s2, c_invalid)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[1783, 1780, 1515, 1770])).
% 4.72/4.93 tff(8604,plain,
% 4.72/4.93 (m_processor_v_abort(c_p1, s2)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[7956, 1770, 7946, 7945])).
% 4.72/4.93 tff(8605,plain,
% 4.72/4.93 (node32(c_p1, s2, s3)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[4458, 8604])).
% 4.72/4.93 tff(8606,plain,
% 4.72/4.93 ($false),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[7593, 28, 4410, 8605, 8603])).
% 4.72/4.93 tff(8607,plain,(m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | m_processor_v_state(c_p1, s2, c_owned) | node37(c_p1, s2, s3) | node34(c_p1, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.93 tff(8608,plain,
% 4.72/4.93 (node34(c_p1, s2, s3)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[8607, 8602, 1515, 4410, 7946])).
% 4.72/4.93 tff(8609,plain,
% 4.72/4.93 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[8022, 8608, 1, 4410, 7996])).
% 4.72/4.93 tff(8610,plain,
% 4.72/4.93 (m_processor_v_state(c_p1, s2, c_invalid)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[1902, 1508, 1515, 1853])).
% 4.72/4.93 tff(8611,plain,
% 4.72/4.93 (~node32(c_p1, s2, s3)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[7932, 8610, 4410])).
% 4.72/4.93 tff(8612,plain,
% 4.72/4.93 (~m_processor_v_abort(c_p1, s2)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[4458, 8611])).
% 4.72/4.93 tff(8613,plain,
% 4.72/4.93 (node60(c_p1, s2)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[7941, 8612])).
% 4.72/4.93 tff(8614,plain,
% 4.72/4.93 (node59(c_p1, s2)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[8039, 8613, 8033])).
% 4.72/4.93 tff(8615,plain,
% 4.72/4.93 ($false),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[8030, 8614, 8609])).
% 4.72/4.93 tff(8616,plain,((~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s2)) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | node33(c_p1, s2, s3) | m_processor_v_state(c_p1, s2, c_owned) | node37(c_p1, s2, s3) | m_processor_v_master(c_p1, s1) | m_processor_v_abort(c_p1, s1)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.93 tff(8617,plain,
% 4.72/4.93 (~m_processor_v_state(c_p1, s1, c_invalid)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[8616, 8583, 1, 4410, 7996, 1515, 7946, 8600, 8597])).
% 4.72/4.93 tff(8618,plain,
% 4.72/4.93 (~m_processor_v_state(c_p1, s1, c_owned)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[4718, 8597, 1515, 8600])).
% 4.72/4.93 tff(8619,plain,
% 4.72/4.93 (m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_state(c_p1, s1, c_invalid)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[3551, 1780, 8618])).
% 4.72/4.93 tff(8620,plain,
% 4.72/4.93 (m_processor_v_state(c_p1, s1, c_shared)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[8619, 8617])).
% 4.72/4.93 tff(8621,plain,
% 4.72/4.93 (m_processor_v_state(c_p1, s2, c_invalid)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[1956, 8620, 8600, 8599, 8597])).
% 4.72/4.93 tff(8622,plain,
% 4.72/4.93 (~node32(c_p1, s2, s3)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[7932, 8621, 4410])).
% 4.72/4.93 tff(8623,plain,
% 4.72/4.93 (~m_processor_v_abort(c_p1, s2)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[4458, 8622])).
% 4.72/4.93 tff(8624,plain,
% 4.72/4.93 (node60(c_p1, s2)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[7941, 8623])).
% 4.72/4.93 tff(8625,plain,
% 4.72/4.93 (node59(c_p1, s2)),
% 4.72/4.93 inference(unit_resolution,[status(thm)],[8039, 8624, 8583])).
% 4.72/4.94 tff(8626,plain,
% 4.72/4.94 (node34(c_p1, s2, s3)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[7954, 8623, 8056])).
% 4.72/4.94 tff(8627,plain,
% 4.72/4.94 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8022, 8626, 1, 4410, 7996])).
% 4.72/4.94 tff(8628,plain,
% 4.72/4.94 ($false),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8030, 8627, 8625])).
% 4.72/4.94 tff(8629,plain,(m_main_v_CMD(s1, c_read_h_shared) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | node33(c_p1, s2, s3) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_state(c_p1, s2, c_owned) | node37(c_p1, s2, s3) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid) | node44(c_p0, s1, s2)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.94 tff(8630,plain,
% 4.72/4.94 (m_main_v_CMD(s1, c_read_h_shared) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | node33(c_p1, s2, s3) | (~m_processor_v_master(c_p1, s2)) | node37(c_p1, s2, s3) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid) | node44(c_p0, s1, s2)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8629, 7576])).
% 4.72/4.94 tff(8631,plain,
% 4.72/4.94 (m_main_v_CMD(s1, c_read_h_shared)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8630, 8454, 7962, 8470, 1, 4410, 8056, 8107, 8106, 7944])).
% 4.72/4.94 tff(8632,plain,
% 4.72/4.94 (m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[3221, 8631])).
% 4.72/4.94 tff(8633,plain,
% 4.72/4.94 (~m_processor_v_master(c_p0, s1)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[3211, 8632, 8065, 8454])).
% 4.72/4.94 tff(8634,plain,
% 4.72/4.94 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_reply_h_owned(c_p0, s1))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_reply_h_owned(c_p0, s1))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8635,plain,
% 4.72/4.94 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_reply_h_owned(c_p0, s1))),
% 4.72/4.94 inference(quant_inst,[status(thm)],[])).
% 4.72/4.94 tff(8636,plain,
% 4.72/4.94 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_reply_h_owned(c_p0, s1)),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8635, 8634])).
% 4.72/4.94 tff(8637,plain,
% 4.72/4.94 (m_processor_v_master(c_p0, s1) | m_processor_v_reply_h_owned(c_p0, s1)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8636, 6715, 8409])).
% 4.72/4.94 tff(8638,plain,
% 4.72/4.94 (m_processor_v_reply_h_owned(c_p0, s1)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8637, 8633])).
% 4.72/4.94 tff(8639,plain,
% 4.72/4.94 (^[X: $i] : refl(((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X))) <=> ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X))))),
% 4.72/4.94 inference(bind,[status(th)],[])).
% 4.72/4.94 tff(8640,plain,
% 4.72/4.94 (![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X))) <=> ![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))),
% 4.72/4.94 inference(quant_intro,[status(thm)],[8639])).
% 4.72/4.94 tff(8641,plain,
% 4.72/4.94 (![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X))) <=> ![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8642,plain,
% 4.72/4.94 (^[X: $i] : rewrite(((~m_processor_v_reply_h_owned(c_p0, X)) | (~node5(X))) <=> ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X))))),
% 4.72/4.94 inference(bind,[status(th)],[])).
% 4.72/4.94 tff(8643,plain,
% 4.72/4.94 (![X: $i] : ((~m_processor_v_reply_h_owned(c_p0, X)) | (~node5(X))) <=> ![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))),
% 4.72/4.94 inference(quant_intro,[status(thm)],[8642])).
% 4.72/4.94 tff(8644,axiom,(![X: $i] : ((~m_processor_v_reply_h_owned(c_p0, X)) | (~node5(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_74')).
% 4.72/4.94 tff(8645,plain,
% 4.72/4.94 (![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8644, 8643])).
% 4.72/4.94 tff(8646,plain,
% 4.72/4.94 (![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8645, 8641])).
% 4.72/4.94 tff(8647,plain,(
% 4.72/4.94 ![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))),
% 4.72/4.94 inference(skolemize,[status(sab)],[8646])).
% 4.72/4.94 tff(8648,plain,
% 4.72/4.94 (![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8647, 8640])).
% 4.72/4.94 tff(8649,plain,
% 4.72/4.94 (((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | ((~node5(s1)) | (~m_processor_v_reply_h_owned(c_p0, s1)))) <=> ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | (~node5(s1)) | (~m_processor_v_reply_h_owned(c_p0, s1)))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8650,plain,
% 4.72/4.94 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | ((~node5(s1)) | (~m_processor_v_reply_h_owned(c_p0, s1)))),
% 4.72/4.94 inference(quant_inst,[status(thm)],[])).
% 4.72/4.94 tff(8651,plain,
% 4.72/4.94 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | (~node5(s1)) | (~m_processor_v_reply_h_owned(c_p0, s1))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8650, 8649])).
% 4.72/4.94 tff(8652,plain,
% 4.72/4.94 (~node5(s1)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8651, 8648, 8638])).
% 4.72/4.94 tff(8653,assumption,(~node5(s1)), introduced(assumption)).
% 4.72/4.94 tff(8654,plain,
% 4.72/4.94 (((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | (m_main_v_REPLY_h_OWNED(s1) | node5(s1))) <=> ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | m_main_v_REPLY_h_OWNED(s1) | node5(s1))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8655,plain,
% 4.72/4.94 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | (m_main_v_REPLY_h_OWNED(s1) | node5(s1))),
% 4.72/4.94 inference(quant_inst,[status(thm)],[])).
% 4.72/4.94 tff(8656,plain,
% 4.72/4.94 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | m_main_v_REPLY_h_OWNED(s1) | node5(s1)),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8655, 8654])).
% 4.72/4.94 tff(8657,plain,
% 4.72/4.94 ($false),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8656, 6747, 5498, 8653])).
% 4.72/4.94 tff(8658,plain,(m_main_v_REPLY_h_OWNED(s1) | node5(s1)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.94 tff(8659,plain,
% 4.72/4.94 (m_main_v_REPLY_h_OWNED(s1)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8658, 8652])).
% 4.72/4.94 tff(8660,assumption,(m_main_v_REPLY_h_OWNED(s1)), introduced(assumption)).
% 4.72/4.94 tff(8661,plain,
% 4.72/4.94 (((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | ((~m_main_v_REPLY_h_OWNED(s1)) | m_memory_v_REPLY_h_OWNED(c_m, s1))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | (~m_main_v_REPLY_h_OWNED(s1)) | m_memory_v_REPLY_h_OWNED(c_m, s1))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8662,plain,
% 4.72/4.94 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | ((~m_main_v_REPLY_h_OWNED(s1)) | m_memory_v_REPLY_h_OWNED(c_m, s1))),
% 4.72/4.94 inference(quant_inst,[status(thm)],[])).
% 4.72/4.94 tff(8663,plain,
% 4.72/4.94 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | (~m_main_v_REPLY_h_OWNED(s1)) | m_memory_v_REPLY_h_OWNED(c_m, s1)),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8662, 8661])).
% 4.72/4.94 tff(8664,plain,
% 4.72/4.94 (m_memory_v_REPLY_h_OWNED(c_m, s1)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8663, 6765, 8660])).
% 4.72/4.94 tff(8665,assumption,(~node25(c_m, s1)), introduced(assumption)).
% 4.72/4.94 tff(8666,assumption,(node26(c_m, s1)), introduced(assumption)).
% 4.72/4.94 tff(8667,plain,
% 4.72/4.94 (((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (node25(c_m, s1) | (~node26(c_m, s1)) | (~m_memory_v_REPLY_h_OWNED(c_m, s1)))) <=> ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | node25(c_m, s1) | (~node26(c_m, s1)) | (~m_memory_v_REPLY_h_OWNED(c_m, s1)))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8668,plain,
% 4.72/4.94 ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (node25(c_m, s1) | (~node26(c_m, s1)) | (~m_memory_v_REPLY_h_OWNED(c_m, s1)))),
% 4.72/4.94 inference(quant_inst,[status(thm)],[])).
% 4.72/4.94 tff(8669,plain,
% 4.72/4.94 ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | node25(c_m, s1) | (~node26(c_m, s1)) | (~m_memory_v_REPLY_h_OWNED(c_m, s1))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8668, 8667])).
% 4.72/4.94 tff(8670,plain,
% 4.72/4.94 ($false),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8669, 7202, 8666, 8665, 8664])).
% 4.72/4.94 tff(8671,plain,(node25(c_m, s1) | (~node26(c_m, s1)) | (~m_main_v_REPLY_h_OWNED(s1))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.94 tff(8672,plain,
% 4.72/4.94 (node25(c_m, s1)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8671, 8659, 8422])).
% 4.72/4.94 tff(8673,assumption,(node25(c_m, s1)), introduced(assumption)).
% 4.72/4.94 tff(8674,plain,
% 4.72/4.94 (^[I0: $i, X: $i] : refl(((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X))) <=> ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X))))),
% 4.72/4.94 inference(bind,[status(th)],[])).
% 4.72/4.94 tff(8675,plain,
% 4.72/4.94 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))),
% 4.72/4.94 inference(quant_intro,[status(thm)],[8674])).
% 4.72/4.94 tff(8676,plain,
% 4.72/4.94 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8677,axiom,(![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_58')).
% 4.72/4.94 tff(8678,plain,
% 4.72/4.94 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8677, 8676])).
% 4.72/4.94 tff(8679,plain,(
% 4.72/4.94 ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))),
% 4.72/4.94 inference(skolemize,[status(sab)],[8678])).
% 4.72/4.94 tff(8680,plain,
% 4.72/4.94 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8679, 8675])).
% 4.72/4.94 tff(8681,plain,
% 4.72/4.94 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s1, c_read_h_shared)) | (~node25(c_m, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared)) | (~node25(c_m, s1)))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8682,plain,
% 4.72/4.94 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s1, c_read_h_shared)) | (~node25(c_m, s1)))),
% 4.72/4.94 inference(quant_inst,[status(thm)],[])).
% 4.72/4.94 tff(8683,plain,
% 4.72/4.94 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared)) | (~node25(c_m, s1))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8682, 8681])).
% 4.72/4.94 tff(8684,plain,
% 4.72/4.94 ($false),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8683, 8680, 5271, 8673])).
% 4.72/4.94 tff(8685,plain,((~node25(c_m, s1)) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.94 tff(8686,plain,
% 4.72/4.94 (~m_memory_v_CMD(c_m, s1, c_read_h_shared)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8685, 8672])).
% 4.72/4.94 tff(8687,plain,
% 4.72/4.94 ($false),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[4831, 622, 4821, 8631, 8686])).
% 4.72/4.94 tff(8688,plain,((~m_processor_v_snoop(c_p0, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_master(c_p1, s2))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.94 tff(8689,plain,
% 4.72/4.94 (~m_processor_v_snoop(c_p0, s2, c_shared)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8688, 4410, 1, 8056])).
% 4.72/4.94 tff(8690,plain,
% 4.72/4.94 (node40(c_p0, s1)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8572, 1791, 7562, 8471])).
% 4.72/4.94 tff(8691,assumption,(~m_processor_v_snoop(c_p0, s2, c_shared)), introduced(assumption)).
% 4.72/4.94 tff(8692,plain,
% 4.72/4.94 (m_processor_v_state(c_p0, s1, c_owned)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[2088, 1791, 2000, 2005])).
% 4.72/4.94 tff(8693,plain,
% 4.72/4.94 (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8559, 8692, 7562, 8691, 1791])).
% 4.72/4.94 tff(8694,plain,
% 4.72/4.94 ($false),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8486, 8483, 8693, 8690])).
% 4.72/4.94 tff(8695,plain,(m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid) | node44(c_p0, s1, s2)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.94 tff(8696,plain,
% 4.72/4.94 (m_processor_v_master(c_p0, s1)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8695, 7930, 8689, 8107, 8106, 8074])).
% 4.72/4.94 tff(8697,plain,
% 4.72/4.94 (m_main_v_CMD(s1, c_read_h_shared)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8630, 7930, 7962, 8074, 1, 4410, 8056, 8107, 8106, 7944])).
% 4.72/4.94 tff(8698,plain,
% 4.72/4.94 (m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[3221, 8697])).
% 4.72/4.94 tff(8699,plain,
% 4.72/4.94 ($false),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[3211, 8698, 8696, 8065, 7930])).
% 4.72/4.94 tff(8700,plain,(m_processor_v_snoop(c_p0, s2, c_invalid) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_master(c_p1, s2))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.94 tff(8701,plain,
% 4.72/4.94 (m_processor_v_snoop(c_p0, s2, c_invalid)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8700, 4410, 1, 7699])).
% 4.72/4.94 tff(8702,assumption,(m_processor_v_snoop(c_p0, s2, c_invalid)), introduced(assumption)).
% 4.72/4.94 tff(8703,assumption,(m_processor_v_snoop(c_p0, s2, c_owned)), introduced(assumption)).
% 4.72/4.94 tff(8704,plain,
% 4.72/4.94 (^[I0: $i, X: $i] : refl(((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned))) <=> ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned))))),
% 4.72/4.94 inference(bind,[status(th)],[])).
% 4.72/4.94 tff(8705,plain,
% 4.72/4.94 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned))) <=> ![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))),
% 4.72/4.94 inference(quant_intro,[status(thm)],[8704])).
% 4.72/4.94 tff(8706,plain,
% 4.72/4.94 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned))) <=> ![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8707,axiom,(![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_39')).
% 4.72/4.94 tff(8708,plain,
% 4.72/4.94 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8707, 8706])).
% 4.72/4.94 tff(8709,plain,(
% 4.72/4.94 ![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))),
% 4.72/4.94 inference(skolemize,[status(sab)],[8708])).
% 4.72/4.94 tff(8710,plain,
% 4.72/4.94 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8709, 8705])).
% 4.72/4.94 tff(8711,plain,
% 4.72/4.94 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_snoop(c_p0, s2, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_snoop(c_p0, s2, c_owned)))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8712,plain,
% 4.72/4.94 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_snoop(c_p0, s2, c_owned)))),
% 4.72/4.94 inference(quant_inst,[status(thm)],[])).
% 4.72/4.94 tff(8713,plain,
% 4.72/4.94 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_snoop(c_p0, s2, c_owned))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8712, 8711])).
% 4.72/4.94 tff(8714,plain,
% 4.72/4.94 ($false),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8713, 8710, 8703, 8702])).
% 4.72/4.94 tff(8715,plain,((~m_processor_v_snoop(c_p0, s2, c_owned)) | (~m_processor_v_snoop(c_p0, s2, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.94 tff(8716,plain,
% 4.72/4.94 (~m_processor_v_snoop(c_p0, s2, c_owned)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8715, 8701])).
% 4.72/4.94 tff(8717,plain,
% 4.72/4.94 (m_processor_v_state(c_p1, s3, c_invalid) | node37(c_p1, s2, s3) | node34(c_p1, s2, s3)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8607, 7576, 7573])).
% 4.72/4.94 tff(8718,plain,
% 4.72/4.94 (node34(c_p1, s2, s3)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8717, 7944, 4410])).
% 4.72/4.94 tff(8719,plain,
% 4.72/4.94 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[7970, 1393, 1, 8718])).
% 4.72/4.94 tff(8720,assumption,(m_main_v_CMD(s2, c_read_h_shared)), introduced(assumption)).
% 4.72/4.94 tff(8721,assumption,(~m_processor_v_CMD(c_p1, s2, c_read_h_shared)), introduced(assumption)).
% 4.72/4.94 tff(8722,plain,
% 4.72/4.94 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node3(s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node3(s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8723,plain,
% 4.72/4.94 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node3(s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))),
% 4.72/4.94 inference(quant_inst,[status(thm)],[])).
% 4.72/4.94 tff(8724,plain,
% 4.72/4.94 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node3(s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8723, 8722])).
% 4.72/4.94 tff(8725,plain,
% 4.72/4.94 ($false),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8724, 901, 8127, 8721, 8720])).
% 4.72/4.94 tff(8726,plain,((~m_main_v_CMD(s2, c_read_h_shared)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.94 tff(8727,plain,
% 4.72/4.94 (~m_main_v_CMD(s2, c_read_h_shared)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8726, 8719])).
% 4.72/4.94 tff(8728,plain,
% 4.72/4.94 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s2, c_read_h_shared) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s2, c_read_h_shared) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8729,plain,
% 4.72/4.94 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s2, c_read_h_shared) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))),
% 4.72/4.94 inference(quant_inst,[status(thm)],[])).
% 4.72/4.94 tff(8730,plain,
% 4.72/4.94 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s2, c_read_h_shared) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8729, 8728])).
% 4.72/4.94 tff(8731,plain,
% 4.72/4.94 ($false),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8730, 1749, 5189, 7147, 3789])).
% 4.72/4.94 tff(8732,plain,(m_main_v_CMD(s2, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.94 tff(8733,plain,
% 4.72/4.94 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8732, 8727])).
% 4.72/4.94 tff(8734,assumption,(node41(c_p0, s2)), introduced(assumption)).
% 4.72/4.94 tff(8735,plain,
% 4.72/4.94 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node41(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node41(c_p0, s2)))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8736,plain,
% 4.72/4.94 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node41(c_p0, s2)))),
% 4.72/4.94 inference(quant_inst,[status(thm)],[])).
% 4.72/4.94 tff(8737,plain,
% 4.72/4.94 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node41(c_p0, s2))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8736, 8735])).
% 4.72/4.94 tff(8738,plain,
% 4.72/4.94 ($false),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8737, 8516, 3801, 8734])).
% 4.72/4.94 tff(8739,plain,((~node41(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.94 tff(8740,plain,
% 4.72/4.94 (~node41(c_p0, s2)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8739, 8733])).
% 4.72/4.94 tff(8741,plain,
% 4.72/4.94 (~m_processor_v_master(c_p0, s2)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[3951, 815, 7699])).
% 4.72/4.94 tff(8742,plain,
% 4.72/4.94 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node43(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node43(c_p0, s2)))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8743,plain,
% 4.72/4.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node43(c_p0, s2)))),
% 4.72/4.94 inference(quant_inst,[status(thm)],[])).
% 4.72/4.94 tff(8744,plain,
% 4.72/4.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node43(c_p0, s2))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8743, 8742])).
% 4.72/4.94 tff(8745,plain,
% 4.72/4.94 (~node43(c_p0, s2)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8744, 7824, 8741])).
% 4.72/4.94 tff(8746,plain,
% 4.72/4.94 (node60(c_p1, s2)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[7941, 4411])).
% 4.72/4.94 tff(8747,plain,
% 4.72/4.94 (node34(c_p1, s2, s3)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[7954, 4411, 8056])).
% 4.72/4.94 tff(8748,plain,
% 4.72/4.94 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8022, 8747, 1, 4410, 7996])).
% 4.72/4.94 tff(8749,plain,
% 4.72/4.94 (~node59(c_p1, s2)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8030, 8748])).
% 4.72/4.94 tff(8750,plain,
% 4.72/4.94 (~m_processor_v_REPLY_h_WAITING(c_p1, s2)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8039, 8749, 8746])).
% 4.72/4.94 tff(8751,plain,
% 4.72/4.94 (~m_main_v_REPLY_h_WAITING(s2)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8046, 8750])).
% 4.72/4.94 tff(8752,assumption,(m_processor_v_abort(c_p0, s2)), introduced(assumption)).
% 4.72/4.94 tff(8753,plain,
% 4.72/4.94 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8113, 8746])).
% 4.72/4.94 tff(8754,plain,
% 4.72/4.94 (~m_main_v_REPLY_h_STALL(s2)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8120, 8753])).
% 4.72/4.94 tff(8755,plain,
% 4.72/4.94 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s2) | (~m_processor_v_REPLY_h_STALL(c_p0, s2)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s2) | (~m_processor_v_REPLY_h_STALL(c_p0, s2)))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8756,plain,
% 4.72/4.94 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s2) | (~m_processor_v_REPLY_h_STALL(c_p0, s2)))),
% 4.72/4.94 inference(quant_inst,[status(thm)],[])).
% 4.72/4.94 tff(8757,plain,
% 4.72/4.94 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s2) | (~m_processor_v_REPLY_h_STALL(c_p0, s2))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8756, 8755])).
% 4.72/4.94 tff(8758,plain,
% 4.72/4.94 ($false),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8757, 508, 5234, 5218])).
% 4.72/4.94 tff(8759,plain,((~m_processor_v_REPLY_h_STALL(c_p0, s2)) | m_main_v_REPLY_h_STALL(s2)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.94 tff(8760,plain,
% 4.72/4.94 (~m_processor_v_REPLY_h_STALL(c_p0, s2)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8759, 8754])).
% 4.72/4.94 tff(8761,assumption,(~node61(c_p0, s2)), introduced(assumption)).
% 4.72/4.94 tff(8762,plain,
% 4.72/4.94 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s2)) | m_processor_v_REPLY_h_STALL(c_p0, s2) | node61(c_p0, s2))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s2)) | m_processor_v_REPLY_h_STALL(c_p0, s2) | node61(c_p0, s2))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8763,plain,
% 4.72/4.94 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s2)) | m_processor_v_REPLY_h_STALL(c_p0, s2) | node61(c_p0, s2))),
% 4.72/4.94 inference(quant_inst,[status(thm)],[])).
% 4.72/4.94 tff(8764,plain,
% 4.72/4.94 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s2)) | m_processor_v_REPLY_h_STALL(c_p0, s2) | node61(c_p0, s2)),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8763, 8762])).
% 4.72/4.94 tff(8765,plain,
% 4.72/4.94 ($false),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8764, 4672, 8752, 8761, 5225])).
% 4.72/4.94 tff(8766,plain,((~m_processor_v_abort(c_p0, s2)) | node61(c_p0, s2) | m_processor_v_REPLY_h_STALL(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.94 tff(8767,plain,
% 4.72/4.94 (node61(c_p0, s2)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8766, 8760, 8752])).
% 4.72/4.94 tff(8768,assumption,(node61(c_p0, s2)), introduced(assumption)).
% 4.72/4.94 tff(8769,plain,
% 4.72/4.94 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | ((~node61(c_p0, s2)) | m_processor_v_REPLY_h_WAITING(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (~node61(c_p0, s2)) | m_processor_v_REPLY_h_WAITING(c_p0, s2))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8770,plain,
% 4.72/4.94 ((m_processor_v_REPLY_h_WAITING(c_p0, s2) | (~node61(c_p0, s2))) <=> ((~node61(c_p0, s2)) | m_processor_v_REPLY_h_WAITING(c_p0, s2))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8771,plain,
% 4.72/4.94 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p0, s2) | (~node61(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | ((~node61(c_p0, s2)) | m_processor_v_REPLY_h_WAITING(c_p0, s2)))),
% 4.72/4.94 inference(monotonicity,[status(thm)],[8770])).
% 4.72/4.94 tff(8772,plain,
% 4.72/4.94 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p0, s2) | (~node61(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (~node61(c_p0, s2)) | m_processor_v_REPLY_h_WAITING(c_p0, s2))),
% 4.72/4.94 inference(transitivity,[status(thm)],[8771, 8769])).
% 4.72/4.94 tff(8773,plain,
% 4.72/4.94 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p0, s2) | (~node61(c_p0, s2)))),
% 4.72/4.94 inference(quant_inst,[status(thm)],[])).
% 4.72/4.94 tff(8774,plain,
% 4.72/4.94 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (~node61(c_p0, s2)) | m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8773, 8772])).
% 4.72/4.94 tff(8775,plain,
% 4.72/4.94 ($false),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8774, 4687, 8768, 3898])).
% 4.72/4.94 tff(8776,plain,((~node61(c_p0, s2)) | m_processor_v_REPLY_h_WAITING(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.94 tff(8777,plain,
% 4.72/4.94 (m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8776, 8767])).
% 4.72/4.94 tff(8778,assumption,(m_processor_v_REPLY_h_WAITING(c_p0, s2)), introduced(assumption)).
% 4.72/4.94 tff(8779,plain,
% 4.72/4.94 (^[X: $i] : refl((m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X))) <=> (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X))))),
% 4.72/4.94 inference(bind,[status(th)],[])).
% 4.72/4.94 tff(8780,plain,
% 4.72/4.94 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X))) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))),
% 4.72/4.94 inference(quant_intro,[status(thm)],[8779])).
% 4.72/4.94 tff(8781,plain,
% 4.72/4.94 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X))) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8782,plain,
% 4.72/4.94 (^[X: $i] : rewrite(((~m_processor_v_REPLY_h_WAITING(c_p0, X)) | m_main_v_REPLY_h_WAITING(X)) <=> (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X))))),
% 4.72/4.94 inference(bind,[status(th)],[])).
% 4.72/4.94 tff(8783,plain,
% 4.72/4.94 (![X: $i] : ((~m_processor_v_REPLY_h_WAITING(c_p0, X)) | m_main_v_REPLY_h_WAITING(X)) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))),
% 4.72/4.94 inference(quant_intro,[status(thm)],[8782])).
% 4.72/4.94 tff(8784,axiom,(![X: $i] : ((~m_processor_v_REPLY_h_WAITING(c_p0, X)) | m_main_v_REPLY_h_WAITING(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_53')).
% 4.72/4.94 tff(8785,plain,
% 4.72/4.94 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8784, 8783])).
% 4.72/4.94 tff(8786,plain,
% 4.72/4.94 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8785, 8781])).
% 4.72/4.94 tff(8787,plain,(
% 4.72/4.94 ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))),
% 4.72/4.94 inference(skolemize,[status(sab)],[8786])).
% 4.72/4.94 tff(8788,plain,
% 4.72/4.94 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8787, 8780])).
% 4.72/4.94 tff(8789,plain,
% 4.72/4.94 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | (m_main_v_REPLY_h_WAITING(s2) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | m_main_v_REPLY_h_WAITING(s2) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8790,plain,
% 4.72/4.94 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | (m_main_v_REPLY_h_WAITING(s2) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)))),
% 4.72/4.94 inference(quant_inst,[status(thm)],[])).
% 4.72/4.94 tff(8791,plain,
% 4.72/4.94 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | m_main_v_REPLY_h_WAITING(s2) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8790, 8789])).
% 4.72/4.94 tff(8792,plain,
% 4.72/4.94 ($false),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8791, 8788, 3917, 8778])).
% 4.72/4.94 tff(8793,plain,(m_main_v_REPLY_h_WAITING(s2) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.94 tff(8794,plain,
% 4.72/4.94 ($false),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8793, 8777, 8751])).
% 4.72/4.94 tff(8795,plain,(m_processor_v_abort(c_p1, s2) | (~m_processor_v_abort(c_p0, s2)) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | node33(c_p1, s2, s3) | (~m_processor_v_master(c_p1, s2))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.94 tff(8796,plain,
% 4.72/4.94 (~m_processor_v_abort(c_p0, s2)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8795, 7962, 1, 4410, 7935, 7699])).
% 4.72/4.94 tff(8797,plain,
% 4.72/4.94 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node42(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node42(c_p0, s2)))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8798,plain,
% 4.72/4.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node42(c_p0, s2)))),
% 4.72/4.94 inference(quant_inst,[status(thm)],[])).
% 4.72/4.94 tff(8799,plain,
% 4.72/4.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node42(c_p0, s2))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8798, 8797])).
% 4.72/4.94 tff(8800,plain,
% 4.72/4.94 (~node42(c_p0, s2)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8799, 7869, 8741])).
% 4.72/4.94 tff(8801,assumption,(node40(c_p0, s2)), introduced(assumption)).
% 4.72/4.94 tff(8802,plain,
% 4.72/4.94 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node40(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node40(c_p0, s2)))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8803,plain,
% 4.72/4.94 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node40(c_p0, s2)))),
% 4.72/4.94 inference(quant_inst,[status(thm)],[])).
% 4.72/4.94 tff(8804,plain,
% 4.72/4.94 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node40(c_p0, s2))),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8803, 8802])).
% 4.72/4.94 tff(8805,plain,
% 4.72/4.94 ($false),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8804, 8483, 3801, 8801])).
% 4.72/4.94 tff(8806,plain,((~node40(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.94 tff(8807,plain,
% 4.72/4.94 (~node40(c_p0, s2)),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8806, 8733])).
% 4.72/4.94 tff(8808,assumption,(~node44(c_p0, s2, s3)), introduced(assumption)).
% 4.72/4.94 tff(8809,assumption,(~node42(c_p0, s2)), introduced(assumption)).
% 4.72/4.94 tff(8810,assumption,(~node43(c_p0, s2)), introduced(assumption)).
% 4.72/4.94 tff(8811,assumption,(~node40(c_p0, s2)), introduced(assumption)).
% 4.72/4.94 tff(8812,assumption,(~node41(c_p0, s2)), introduced(assumption)).
% 4.72/4.94 tff(8813,assumption,(~node45(c_p0, s2, s3)), introduced(assumption)).
% 4.72/4.94 tff(8814,plain,
% 4.72/4.94 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s2, s3)) | node45(c_p0, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s2, s3)) | node45(c_p0, s2, s3))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8815,plain,
% 4.72/4.94 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s2, s3)) | node45(c_p0, s2, s3))),
% 4.72/4.94 inference(quant_inst,[status(thm)],[])).
% 4.72/4.94 tff(8816,plain,
% 4.72/4.94 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s2, s3)) | node45(c_p0, s2, s3)),
% 4.72/4.94 inference(modus_ponens,[status(thm)],[8815, 8814])).
% 4.72/4.94 tff(8817,plain,
% 4.72/4.94 ($false),
% 4.72/4.94 inference(unit_resolution,[status(thm)],[8816, 7735, 3677, 8813])).
% 4.72/4.94 tff(8818,plain,(node45(c_p0, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.94 tff(8819,plain,
% 4.72/4.94 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s2) | node43(c_p0, s2) | node42(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | node44(c_p0, s2, s3) | (~node45(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s2) | node43(c_p0, s2) | node42(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | node44(c_p0, s2, s3) | (~node45(c_p0, s2, s3)))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8820,plain,
% 4.72/4.94 ((m_processor_v_abort(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | node42(c_p0, s2) | node43(c_p0, s2) | node44(c_p0, s2, s3) | (~node45(c_p0, s2, s3))) <=> (m_processor_v_abort(c_p0, s2) | node43(c_p0, s2) | node42(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | node44(c_p0, s2, s3) | (~node45(c_p0, s2, s3)))),
% 4.72/4.94 inference(rewrite,[status(thm)],[])).
% 4.72/4.94 tff(8821,plain,
% 4.72/4.94 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | node42(c_p0, s2) | node43(c_p0, s2) | node44(c_p0, s2, s3) | (~node45(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s2) | node43(c_p0, s2) | node42(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | node44(c_p0, s2, s3) | (~node45(c_p0, s2, s3))))),
% 4.72/4.95 inference(monotonicity,[status(thm)],[8820])).
% 4.72/4.95 tff(8822,plain,
% 4.72/4.95 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | node42(c_p0, s2) | node43(c_p0, s2) | node44(c_p0, s2, s3) | (~node45(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s2) | node43(c_p0, s2) | node42(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | node44(c_p0, s2, s3) | (~node45(c_p0, s2, s3)))),
% 4.72/4.95 inference(transitivity,[status(thm)],[8821, 8819])).
% 4.72/4.95 tff(8823,plain,
% 4.72/4.95 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | node42(c_p0, s2) | node43(c_p0, s2) | node44(c_p0, s2, s3) | (~node45(c_p0, s2, s3)))),
% 4.72/4.95 inference(quant_inst,[status(thm)],[])).
% 4.72/4.95 tff(8824,plain,
% 4.72/4.95 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s2) | node43(c_p0, s2) | node42(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | node44(c_p0, s2, s3) | (~node45(c_p0, s2, s3))),
% 4.72/4.95 inference(modus_ponens,[status(thm)],[8823, 8822])).
% 4.72/4.95 tff(8825,plain,
% 4.72/4.95 ($false),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8824, 7772, 3702, 8818, 8812, 8811, 8810, 8809, 8808])).
% 4.72/4.95 tff(8826,plain,(node44(c_p0, s2, s3) | m_processor_v_abort(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | node43(c_p0, s2) | node42(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.95 tff(8827,plain,
% 4.72/4.95 (node44(c_p0, s2, s3)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8826, 8807, 8800, 8796, 8745, 8740])).
% 4.72/4.95 tff(8828,assumption,(node44(c_p0, s2, s3)), introduced(assumption)).
% 4.72/4.95 tff(8829,assumption,(m_processor_v_snoop(c_p0, s3, c_owned)), introduced(assumption)).
% 4.72/4.95 tff(8830,assumption,(~m_processor_v_snoop(c_p0, s2, c_owned)), introduced(assumption)).
% 4.72/4.95 tff(8831,plain,
% 4.72/4.95 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s2, c_owned) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | (~node44(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s2, c_owned) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | (~node44(c_p0, s2, s3)))),
% 4.72/4.95 inference(rewrite,[status(thm)],[])).
% 4.72/4.95 tff(8832,plain,
% 4.72/4.95 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s2, c_owned) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | (~node44(c_p0, s2, s3)))),
% 4.72/4.95 inference(quant_inst,[status(thm)],[])).
% 4.72/4.95 tff(8833,plain,
% 4.72/4.95 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s2, c_owned) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | (~node44(c_p0, s2, s3))),
% 4.72/4.95 inference(modus_ponens,[status(thm)],[8832, 8831])).
% 4.72/4.95 tff(8834,plain,
% 4.72/4.95 ($false),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8833, 8464, 8830, 8829, 8828])).
% 4.72/4.95 tff(8835,plain,((~m_processor_v_snoop(c_p0, s3, c_owned)) | m_processor_v_snoop(c_p0, s2, c_owned) | (~node44(c_p0, s2, s3))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.95 tff(8836,plain,
% 4.72/4.95 (~m_processor_v_snoop(c_p0, s3, c_owned)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8835, 8827, 8716])).
% 4.72/4.95 tff(8837,plain,
% 4.72/4.95 (~m_processor_v_snoop(c_p0, s2, c_shared)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8688, 4410, 1, 7699])).
% 4.72/4.95 tff(8838,assumption,(m_processor_v_snoop(c_p0, s3, c_shared)), introduced(assumption)).
% 4.72/4.95 tff(8839,plain,
% 4.72/4.95 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared)) | (~node44(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared)) | (~node44(c_p0, s2, s3)))),
% 4.72/4.95 inference(rewrite,[status(thm)],[])).
% 4.72/4.95 tff(8840,plain,
% 4.72/4.95 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared)) | (~node44(c_p0, s2, s3)))),
% 4.72/4.95 inference(quant_inst,[status(thm)],[])).
% 4.72/4.95 tff(8841,plain,
% 4.72/4.95 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared)) | (~node44(c_p0, s2, s3))),
% 4.72/4.95 inference(modus_ponens,[status(thm)],[8840, 8839])).
% 4.72/4.95 tff(8842,plain,
% 4.72/4.95 ($false),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8841, 8464, 8691, 8838, 8828])).
% 4.72/4.95 tff(8843,plain,((~node44(c_p0, s2, s3)) | m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.95 tff(8844,plain,
% 4.72/4.95 (~m_processor_v_snoop(c_p0, s3, c_shared)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8843, 8827, 8837])).
% 4.72/4.95 tff(8845,plain,
% 4.72/4.95 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8022, 7962, 4410, 1, 8718])).
% 4.72/4.95 tff(8846,assumption,(node47(c_p1, s2)), introduced(assumption)).
% 4.72/4.95 tff(8847,plain,
% 4.72/4.95 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~node47(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~node47(c_p1, s2)))),
% 4.72/4.95 inference(rewrite,[status(thm)],[])).
% 4.72/4.95 tff(8848,plain,
% 4.72/4.95 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~node47(c_p1, s2)))),
% 4.72/4.95 inference(quant_inst,[status(thm)],[])).
% 4.72/4.95 tff(8849,plain,
% 4.72/4.95 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~node47(c_p1, s2))),
% 4.72/4.95 inference(modus_ponens,[status(thm)],[8848, 8847])).
% 4.72/4.95 tff(8850,plain,
% 4.72/4.95 ($false),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8849, 2796, 8721, 8846])).
% 4.72/4.95 tff(8851,plain,((~node47(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.95 tff(8852,plain,
% 4.72/4.95 (~node47(c_p1, s2)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8851, 8719])).
% 4.72/4.95 tff(8853,assumption,(~node53(c_p1, s2, s3)), introduced(assumption)).
% 4.72/4.95 tff(8854,plain,
% 4.72/4.95 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s2, s3)) | node53(c_p1, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s2, s3)) | node53(c_p1, s2, s3))),
% 4.72/4.95 inference(rewrite,[status(thm)],[])).
% 4.72/4.95 tff(8855,plain,
% 4.72/4.95 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s2, s3)) | node53(c_p1, s2, s3))),
% 4.72/4.95 inference(quant_inst,[status(thm)],[])).
% 4.72/4.95 tff(8856,plain,
% 4.72/4.95 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s2, s3)) | node53(c_p1, s2, s3)),
% 4.72/4.95 inference(modus_ponens,[status(thm)],[8855, 8854])).
% 4.72/4.95 tff(8857,plain,
% 4.72/4.95 ($false),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8856, 2746, 3677, 8853])).
% 4.72/4.95 tff(8858,plain,(node53(c_p1, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 4.72/4.95 tff(8859,plain,
% 4.72/4.95 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s2)) | m_processor_v_waiting(c_p1, s3) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | node47(c_p1, s2) | (~node53(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_waiting(c_p1, s3) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | node47(c_p1, s2) | (~node53(c_p1, s2, s3)))),
% 4.72/4.95 inference(rewrite,[status(thm)],[])).
% 4.72/4.95 tff(8860,plain,
% 4.72/4.95 ((m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node47(c_p1, s2) | (~node53(c_p1, s2, s3))) <=> ((~m_processor_v_master(c_p1, s2)) | m_processor_v_waiting(c_p1, s3) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | node47(c_p1, s2) | (~node53(c_p1, s2, s3)))),
% 4.72/4.95 inference(rewrite,[status(thm)],[])).
% 4.72/4.95 tff(8861,plain,
% 4.72/4.95 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node47(c_p1, s2) | (~node53(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s2)) | m_processor_v_waiting(c_p1, s3) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | node47(c_p1, s2) | (~node53(c_p1, s2, s3))))),
% 4.72/4.95 inference(monotonicity,[status(thm)],[8860])).
% 4.72/4.95 tff(8862,plain,
% 4.72/4.95 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node47(c_p1, s2) | (~node53(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_waiting(c_p1, s3) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | node47(c_p1, s2) | (~node53(c_p1, s2, s3)))),
% 4.72/4.95 inference(transitivity,[status(thm)],[8861, 8859])).
% 4.72/4.95 tff(8863,plain,
% 4.72/4.95 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node47(c_p1, s2) | (~node53(c_p1, s2, s3)))),
% 4.72/4.95 inference(quant_inst,[status(thm)],[])).
% 4.72/4.95 tff(8864,plain,
% 4.72/4.95 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_waiting(c_p1, s3) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | node47(c_p1, s2) | (~node53(c_p1, s2, s3))),
% 4.72/4.95 inference(modus_ponens,[status(thm)],[8863, 8862])).
% 4.72/4.95 tff(8865,plain,
% 4.72/4.95 ((~m_processor_v_master(c_p1, s2)) | m_processor_v_waiting(c_p1, s3) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | node47(c_p1, s2)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8864, 2763, 8858])).
% 4.72/4.95 tff(8866,plain,
% 4.72/4.95 (m_processor_v_waiting(c_p1, s3)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8865, 8852, 7699, 7935, 8845])).
% 4.72/4.95 tff(8867,assumption,(node46(c_p1, s3, s4)), introduced(assumption)).
% 4.72/4.95 tff(8868,assumption,(m_processor_v_waiting(c_p1, s3)), introduced(assumption)).
% 4.72/4.95 tff(8869,plain,
% 4.72/4.95 (((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p1, s3)) | (~node56(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p1, s3)) | (~node56(c_p1, s3)))),
% 4.72/4.95 inference(rewrite,[status(thm)],[])).
% 4.72/4.95 tff(8870,plain,
% 4.72/4.95 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p1, s3)) | (~node56(c_p1, s3)))),
% 4.72/4.95 inference(quant_inst,[status(thm)],[])).
% 4.72/4.95 tff(8871,plain,
% 4.72/4.95 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p1, s3)) | (~node56(c_p1, s3))),
% 4.72/4.95 inference(modus_ponens,[status(thm)],[8870, 8869])).
% 4.72/4.95 tff(8872,plain,
% 4.72/4.95 (~node56(c_p1, s3)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8871, 2734, 8868])).
% 4.72/4.95 tff(8873,plain,
% 4.72/4.95 (~m_processor_v_writable(c_p1, s3)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[7617, 8872])).
% 4.72/4.95 tff(8874,plain,
% 4.72/4.95 (~node67(s3)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[7627, 8873])).
% 4.72/4.95 tff(8875,plain,
% 4.72/4.95 (node67(s4)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[7636, 8874])).
% 4.72/4.95 tff(8876,plain,
% 4.72/4.95 (m_processor_v_writable(c_p1, s4)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[4172, 8875])).
% 4.72/4.95 tff(8877,plain,
% 4.72/4.95 (node56(c_p1, s4)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[4180, 8876])).
% 4.72/4.95 tff(8878,plain,
% 4.72/4.95 (~m_processor_v_waiting(c_p1, s4)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[7668, 2734, 8877])).
% 4.72/4.95 tff(8879,plain,
% 4.72/4.95 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node46(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node46(c_p1, s3, s4)))),
% 4.72/4.95 inference(rewrite,[status(thm)],[])).
% 4.72/4.95 tff(8880,plain,
% 4.72/4.95 ((m_processor_v_waiting(c_p1, s4) | (~m_processor_v_waiting(c_p1, s3)) | (~node46(c_p1, s3, s4))) <=> ((~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node46(c_p1, s3, s4)))),
% 4.72/4.95 inference(rewrite,[status(thm)],[])).
% 4.72/4.95 tff(8881,plain,
% 4.72/4.95 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_waiting(c_p1, s3)) | (~node46(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node46(c_p1, s3, s4))))),
% 4.72/4.95 inference(monotonicity,[status(thm)],[8880])).
% 4.72/4.95 tff(8882,plain,
% 4.72/4.95 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_waiting(c_p1, s3)) | (~node46(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node46(c_p1, s3, s4)))),
% 4.72/4.95 inference(transitivity,[status(thm)],[8881, 8879])).
% 4.72/4.95 tff(8883,plain,
% 4.72/4.95 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_waiting(c_p1, s3)) | (~node46(c_p1, s3, s4)))),
% 4.72/4.95 inference(quant_inst,[status(thm)],[])).
% 4.72/4.95 tff(8884,plain,
% 4.72/4.95 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node46(c_p1, s3, s4))),
% 4.72/4.95 inference(modus_ponens,[status(thm)],[8883, 8882])).
% 4.72/4.95 tff(8885,plain,
% 4.72/4.95 ($false),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8884, 6096, 8868, 8878, 8867])).
% 4.72/4.95 tff(8886,plain,((~node46(c_p1, s3, s4)) | (~m_processor_v_waiting(c_p1, s3))), inference(lemma,lemma(discharge,[]))).
% 4.72/4.95 tff(8887,plain,
% 4.72/4.95 (~node46(c_p1, s3, s4)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8886, 8866])).
% 4.72/4.95 tff(8888,plain,
% 4.72/4.95 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s3)) | (~node53(c_p1, s3, s4)) | node46(c_p1, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s3)) | (~node53(c_p1, s3, s4)) | node46(c_p1, s3, s4))),
% 4.72/4.95 inference(rewrite,[status(thm)],[])).
% 4.72/4.95 tff(8889,plain,
% 4.72/4.95 (((~m_processor_v_abort(c_p1, s3)) | node46(c_p1, s3, s4) | (~node53(c_p1, s3, s4))) <=> ((~m_processor_v_abort(c_p1, s3)) | (~node53(c_p1, s3, s4)) | node46(c_p1, s3, s4))),
% 4.72/4.95 inference(rewrite,[status(thm)],[])).
% 4.72/4.95 tff(8890,plain,
% 4.72/4.95 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s3)) | node46(c_p1, s3, s4) | (~node53(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s3)) | (~node53(c_p1, s3, s4)) | node46(c_p1, s3, s4)))),
% 4.72/4.95 inference(monotonicity,[status(thm)],[8889])).
% 4.72/4.95 tff(8891,plain,
% 4.72/4.95 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s3)) | node46(c_p1, s3, s4) | (~node53(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s3)) | (~node53(c_p1, s3, s4)) | node46(c_p1, s3, s4))),
% 4.72/4.95 inference(transitivity,[status(thm)],[8890, 8888])).
% 4.72/4.95 tff(8892,plain,
% 4.72/4.95 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s3)) | node46(c_p1, s3, s4) | (~node53(c_p1, s3, s4)))),
% 4.72/4.95 inference(quant_inst,[status(thm)],[])).
% 4.72/4.95 tff(8893,plain,
% 4.72/4.95 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s3)) | (~node53(c_p1, s3, s4)) | node46(c_p1, s3, s4)),
% 4.72/4.95 inference(modus_ponens,[status(thm)],[8892, 8891])).
% 4.72/4.95 tff(8894,plain,
% 4.72/4.95 ((~m_processor_v_abort(c_p1, s3)) | node46(c_p1, s3, s4)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8893, 6115, 7675])).
% 4.72/4.95 tff(8895,plain,
% 4.72/4.95 (~m_processor_v_abort(c_p1, s3)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8894, 8887])).
% 4.72/4.95 tff(8896,plain,
% 4.72/4.95 (node60(c_p1, s3)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[4322, 8895])).
% 4.72/4.95 tff(8897,plain,
% 4.72/4.95 (~node56(c_p1, s3)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8871, 2734, 8866])).
% 4.72/4.95 tff(8898,plain,
% 4.72/4.95 (~m_processor_v_writable(c_p1, s3)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[7617, 8897])).
% 4.72/4.95 tff(8899,plain,
% 4.72/4.95 (~node67(s3)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[7627, 8898])).
% 4.72/4.95 tff(8900,plain,
% 4.72/4.95 (node67(s4)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[7636, 8899])).
% 4.72/4.95 tff(8901,plain,
% 4.72/4.95 (m_processor_v_writable(c_p1, s4)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[4172, 8900])).
% 4.72/4.95 tff(8902,plain,
% 4.72/4.95 (node56(c_p1, s4)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[4180, 8901])).
% 4.72/4.95 tff(8903,plain,
% 4.72/4.95 (~m_processor_v_waiting(c_p1, s4)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[7668, 2734, 8902])).
% 4.72/4.95 tff(8904,plain,
% 4.72/4.95 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node52(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node52(c_p1, s3, s4)))),
% 4.72/4.95 inference(rewrite,[status(thm)],[])).
% 4.72/4.95 tff(8905,plain,
% 4.72/4.95 ((m_processor_v_waiting(c_p1, s4) | (~m_processor_v_waiting(c_p1, s3)) | (~node52(c_p1, s3, s4))) <=> ((~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node52(c_p1, s3, s4)))),
% 4.72/4.95 inference(rewrite,[status(thm)],[])).
% 4.72/4.95 tff(8906,plain,
% 4.72/4.95 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_waiting(c_p1, s3)) | (~node52(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node52(c_p1, s3, s4))))),
% 4.72/4.95 inference(monotonicity,[status(thm)],[8905])).
% 4.72/4.95 tff(8907,plain,
% 4.72/4.95 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_waiting(c_p1, s3)) | (~node52(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node52(c_p1, s3, s4)))),
% 4.72/4.95 inference(transitivity,[status(thm)],[8906, 8904])).
% 4.72/4.95 tff(8908,plain,
% 4.72/4.95 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_waiting(c_p1, s3)) | (~node52(c_p1, s3, s4)))),
% 4.72/4.95 inference(quant_inst,[status(thm)],[])).
% 4.72/4.95 tff(8909,plain,
% 4.72/4.95 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node52(c_p1, s3, s4))),
% 4.72/4.95 inference(modus_ponens,[status(thm)],[8908, 8907])).
% 4.72/4.95 tff(8910,plain,
% 4.72/4.95 ((~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node52(c_p1, s3, s4))),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8909, 6154])).
% 4.72/4.95 tff(8911,plain,
% 4.72/4.95 (~node52(c_p1, s3, s4)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8910, 8903, 8866])).
% 4.72/4.95 tff(8912,plain,
% 4.72/4.95 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p1, s3)) | (~node50(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p1, s3)) | (~node50(c_p1, s3)))),
% 4.72/4.95 inference(rewrite,[status(thm)],[])).
% 4.72/4.95 tff(8913,plain,
% 4.72/4.95 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p1, s3)) | (~node50(c_p1, s3)))),
% 4.72/4.95 inference(quant_inst,[status(thm)],[])).
% 4.72/4.95 tff(8914,plain,
% 4.72/4.95 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p1, s3)) | (~node50(c_p1, s3))),
% 4.72/4.95 inference(modus_ponens,[status(thm)],[8913, 8912])).
% 4.72/4.95 tff(8915,plain,
% 4.72/4.95 (~node50(c_p1, s3)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8914, 6170, 7349])).
% 4.72/4.95 tff(8916,plain,
% 4.72/4.95 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p1, s3)) | (~node51(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p1, s3)) | (~node51(c_p1, s3)))),
% 4.72/4.95 inference(rewrite,[status(thm)],[])).
% 4.72/4.95 tff(8917,plain,
% 4.72/4.95 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p1, s3)) | (~node51(c_p1, s3)))),
% 4.72/4.95 inference(quant_inst,[status(thm)],[])).
% 4.72/4.95 tff(8918,plain,
% 4.72/4.95 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p1, s3)) | (~node51(c_p1, s3))),
% 4.72/4.95 inference(modus_ponens,[status(thm)],[8917, 8916])).
% 4.72/4.95 tff(8919,plain,
% 4.72/4.95 (~node51(c_p1, s3)),
% 4.72/4.95 inference(unit_resolution,[status(thm)],[8918, 6183, 7349])).
% 4.72/4.95 tff(8920,assumption,(~m_processor_v_waiting(c_p1, s4)), introduced(assumption)).
% 4.72/4.95 tff(8921,plain,
% 4.72/4.95 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~node53(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~node53(c_p1, s3, s4)))),
% 4.72/4.95 inference(rewrite,[status(thm)],[])).
% 4.72/4.95 tff(8922,plain,
% 4.72/4.95 ((m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | (~node53(c_p1, s3, s4))) <=> ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~node53(c_p1, s3, s4)))),
% 4.72/4.95 inference(rewrite,[status(thm)],[])).
% 4.72/4.95 tff(8923,plain,
% 4.72/4.95 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | (~node53(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~node53(c_p1, s3, s4))))),
% 4.72/4.95 inference(monotonicity,[status(thm)],[8922])).
% 4.72/4.95 tff(8924,plain,
% 4.72/4.95 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | (~node53(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~node53(c_p1, s3, s4)))),
% 4.72/4.95 inference(transitivity,[status(thm)],[8923, 8921])).
% 4.72/4.95 tff(8925,plain,
% 4.72/4.95 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | (~node53(c_p1, s3, s4)))),
% 4.72/4.95 inference(quant_inst,[status(thm)],[])).
% 4.72/4.95 tff(8926,plain,
% 4.72/4.95 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~node53(c_p1, s3, s4))),
% 4.72/4.95 inference(modus_ponens,[status(thm)],[8925, 8924])).
% 4.72/4.95 tff(8927,plain,
% 4.72/4.95 ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared))),
% 4.72/4.96 inference(unit_resolution,[status(thm)],[8926, 2781, 7675])).
% 4.72/4.96 tff(8928,plain,
% 4.72/4.96 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 4.72/4.96 inference(unit_resolution,[status(thm)],[8927, 7349, 8920, 4206])).
% 4.72/4.96 tff(8929,plain,
% 4.72/4.96 (~node47(c_p1, s3)),
% 4.72/4.96 inference(unit_resolution,[status(thm)],[7678, 2796, 8928])).
% 4.72/4.96 tff(8930,assumption,(~node52(c_p1, s3, s4)), introduced(assumption)).
% 4.72/4.96 tff(8931,plain,
% 4.72/4.96 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p1, s3)) | (~node49(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p1, s3)) | (~node49(c_p1, s3)))),
% 4.72/4.96 inference(rewrite,[status(thm)],[])).
% 4.72/4.96 tff(8932,plain,
% 4.72/4.96 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p1, s3)) | (~node49(c_p1, s3)))),
% 4.72/4.96 inference(quant_inst,[status(thm)],[])).
% 4.72/4.96 tff(8933,plain,
% 4.72/4.96 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p1, s3)) | (~node49(c_p1, s3))),
% 4.72/4.96 inference(modus_ponens,[status(thm)],[8932, 8931])).
% 4.72/4.96 tff(8934,plain,
% 4.72/4.96 (~node49(c_p1, s3)),
% 4.72/4.96 inference(unit_resolution,[status(thm)],[8933, 6195, 7349])).
% 4.72/4.96 tff(8935,plain,
% 4.72/4.96 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s3) | node48(c_p1, s3) | node47(c_p1, s3) | node51(c_p1, s3) | node50(c_p1, s3) | node49(c_p1, s3) | (~node53(c_p1, s3, s4)) | node52(c_p1, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s3) | node48(c_p1, s3) | node47(c_p1, s3) | node51(c_p1, s3) | node50(c_p1, s3) | node49(c_p1, s3) | (~node53(c_p1, s3, s4)) | node52(c_p1, s3, s4))),
% 4.72/4.96 inference(rewrite,[status(thm)],[])).
% 4.72/4.96 tff(8936,plain,
% 4.72/4.96 ((m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | node48(c_p1, s3) | node49(c_p1, s3) | node50(c_p1, s3) | node51(c_p1, s3) | node52(c_p1, s3, s4) | (~node53(c_p1, s3, s4))) <=> (m_processor_v_abort(c_p1, s3) | node48(c_p1, s3) | node47(c_p1, s3) | node51(c_p1, s3) | node50(c_p1, s3) | node49(c_p1, s3) | (~node53(c_p1, s3, s4)) | node52(c_p1, s3, s4))),
% 4.72/4.96 inference(rewrite,[status(thm)],[])).
% 4.72/4.96 tff(8937,plain,
% 4.72/4.96 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | node48(c_p1, s3) | node49(c_p1, s3) | node50(c_p1, s3) | node51(c_p1, s3) | node52(c_p1, s3, s4) | (~node53(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s3) | node48(c_p1, s3) | node47(c_p1, s3) | node51(c_p1, s3) | node50(c_p1, s3) | node49(c_p1, s3) | (~node53(c_p1, s3, s4)) | node52(c_p1, s3, s4)))),
% 4.72/4.96 inference(monotonicity,[status(thm)],[8936])).
% 4.72/4.96 tff(8938,plain,
% 4.72/4.96 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | node48(c_p1, s3) | node49(c_p1, s3) | node50(c_p1, s3) | node51(c_p1, s3) | node52(c_p1, s3, s4) | (~node53(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s3) | node48(c_p1, s3) | node47(c_p1, s3) | node51(c_p1, s3) | node50(c_p1, s3) | node49(c_p1, s3) | (~node53(c_p1, s3, s4)) | node52(c_p1, s3, s4))),
% 4.72/4.96 inference(transitivity,[status(thm)],[8937, 8935])).
% 4.72/4.96 tff(8939,plain,
% 4.72/4.96 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | node48(c_p1, s3) | node49(c_p1, s3) | node50(c_p1, s3) | node51(c_p1, s3) | node52(c_p1, s3, s4) | (~node53(c_p1, s3, s4)))),
% 4.80/4.96 inference(quant_inst,[status(thm)],[])).
% 4.80/4.96 tff(8940,plain,
% 4.80/4.96 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s3) | node48(c_p1, s3) | node47(c_p1, s3) | node51(c_p1, s3) | node50(c_p1, s3) | node49(c_p1, s3) | (~node53(c_p1, s3, s4)) | node52(c_p1, s3, s4)),
% 4.80/4.96 inference(modus_ponens,[status(thm)],[8939, 8938])).
% 4.80/4.96 tff(8941,plain,
% 4.80/4.96 (m_processor_v_abort(c_p1, s3) | node48(c_p1, s3) | node47(c_p1, s3) | node51(c_p1, s3) | node50(c_p1, s3) | node49(c_p1, s3) | node52(c_p1, s3, s4)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[8940, 6209, 7675])).
% 4.80/4.96 tff(8942,plain,
% 4.80/4.96 (node48(c_p1, s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[8941, 8934, 8930, 8929, 8919, 4206, 8915])).
% 4.80/4.96 tff(8943,plain,
% 4.80/4.96 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[7686, 8929, 7675, 7349, 4206, 8920])).
% 4.80/4.96 tff(8944,plain,
% 4.80/4.96 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node48(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node48(c_p1, s3)))),
% 4.80/4.96 inference(rewrite,[status(thm)],[])).
% 4.80/4.96 tff(8945,plain,
% 4.80/4.96 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node48(c_p1, s3)))),
% 4.80/4.96 inference(quant_inst,[status(thm)],[])).
% 4.80/4.96 tff(8946,plain,
% 4.80/4.96 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node48(c_p1, s3))),
% 4.80/4.96 inference(modus_ponens,[status(thm)],[8945, 8944])).
% 4.80/4.96 tff(8947,plain,
% 4.80/4.96 ($false),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[8946, 6226, 8943, 8942])).
% 4.80/4.96 tff(8948,plain,((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | node52(c_p1, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 4.80/4.96 tff(8949,plain,
% 4.80/4.96 (~m_processor_v_master(c_p1, s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[8948, 8895, 8903, 8911])).
% 4.80/4.96 tff(8950,plain,
% 4.80/4.96 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p1, s3)) | m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_waiting(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_waiting(c_p1, s3))),
% 4.80/4.96 inference(rewrite,[status(thm)],[])).
% 4.80/4.96 tff(8951,plain,
% 4.80/4.96 ((m_processor_v_master(c_p1, s3) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_reply_h_waiting(c_p1, s3)) <=> ((~m_processor_v_waiting(c_p1, s3)) | m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_waiting(c_p1, s3))),
% 4.80/4.96 inference(rewrite,[status(thm)],[])).
% 4.80/4.96 tff(8952,plain,
% 4.80/4.96 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s3) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_reply_h_waiting(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p1, s3)) | m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_waiting(c_p1, s3)))),
% 4.80/4.96 inference(monotonicity,[status(thm)],[8951])).
% 4.80/4.96 tff(8953,plain,
% 4.80/4.96 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s3) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_reply_h_waiting(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_waiting(c_p1, s3))),
% 4.80/4.96 inference(transitivity,[status(thm)],[8952, 8950])).
% 4.80/4.96 tff(8954,plain,
% 4.80/4.96 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s3) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_reply_h_waiting(c_p1, s3))),
% 4.80/4.96 inference(quant_inst,[status(thm)],[])).
% 4.80/4.96 tff(8955,plain,
% 4.80/4.96 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_waiting(c_p1, s3)),
% 4.80/4.96 inference(modus_ponens,[status(thm)],[8954, 8953])).
% 4.80/4.96 tff(8956,plain,
% 4.80/4.96 (m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_waiting(c_p1, s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[8955, 3962, 8866])).
% 4.80/4.96 tff(8957,plain,
% 4.80/4.96 (m_processor_v_reply_h_waiting(c_p1, s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[8956, 8949])).
% 4.80/4.96 tff(8958,assumption,(m_processor_v_reply_h_waiting(c_p1, s3)), introduced(assumption)).
% 4.80/4.96 tff(8959,plain,
% 4.80/4.96 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | ((~node6(s3)) | (~m_processor_v_reply_h_waiting(c_p1, s3)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | (~node6(s3)) | (~m_processor_v_reply_h_waiting(c_p1, s3)))),
% 4.80/4.96 inference(rewrite,[status(thm)],[])).
% 4.80/4.96 tff(8960,plain,
% 4.80/4.96 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | ((~node6(s3)) | (~m_processor_v_reply_h_waiting(c_p1, s3)))),
% 4.80/4.96 inference(quant_inst,[status(thm)],[])).
% 4.80/4.96 tff(8961,plain,
% 4.80/4.96 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | (~node6(s3)) | (~m_processor_v_reply_h_waiting(c_p1, s3))),
% 4.80/4.96 inference(modus_ponens,[status(thm)],[8960, 8959])).
% 4.80/4.96 tff(8962,plain,
% 4.80/4.96 ($false),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[8961, 3942, 8958, 4273])).
% 4.80/4.96 tff(8963,plain,((~m_processor_v_reply_h_waiting(c_p1, s3)) | (~node6(s3))), inference(lemma,lemma(discharge,[]))).
% 4.80/4.96 tff(8964,plain,
% 4.80/4.96 (~node6(s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[8963, 8957])).
% 4.80/4.96 tff(8965,plain,
% 4.80/4.96 (m_main_v_REPLY_h_WAITING(s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[4296, 8964])).
% 4.80/4.96 tff(8966,plain,
% 4.80/4.96 (m_processor_v_REPLY_h_WAITING(c_p1, s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[4314, 8965])).
% 4.80/4.96 tff(8967,plain,
% 4.80/4.96 (node59(c_p1, s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[6877, 8966, 8896])).
% 4.80/4.96 tff(8968,plain,
% 4.80/4.96 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[4337, 8967])).
% 4.80/4.96 tff(8969,plain,
% 4.80/4.96 (~m_main_v_CMD(s3, c_read_h_owned)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[6887, 8968])).
% 4.80/4.96 tff(8970,plain,
% 4.80/4.96 (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[6894, 8969])).
% 4.80/4.96 tff(8971,plain,
% 4.80/4.96 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_owned(c_p0, s2))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_owned(c_p0, s2))),
% 4.80/4.96 inference(rewrite,[status(thm)],[])).
% 4.80/4.96 tff(8972,plain,
% 4.80/4.96 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_owned(c_p0, s2))),
% 4.80/4.96 inference(quant_inst,[status(thm)],[])).
% 4.80/4.96 tff(8973,plain,
% 4.80/4.96 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_owned(c_p0, s2)),
% 4.80/4.96 inference(modus_ponens,[status(thm)],[8972, 8971])).
% 4.80/4.96 tff(8974,plain,
% 4.80/4.96 (m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_owned(c_p0, s2)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[8973, 6715, 8105])).
% 4.80/4.96 tff(8975,plain,
% 4.80/4.96 (m_processor_v_reply_h_owned(c_p0, s2)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[8974, 8741])).
% 4.80/4.96 tff(8976,assumption,(m_processor_v_reply_h_owned(c_p0, s2)), introduced(assumption)).
% 4.80/4.96 tff(8977,plain,
% 4.80/4.96 (((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | ((~node5(s2)) | (~m_processor_v_reply_h_owned(c_p0, s2)))) <=> ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | (~node5(s2)) | (~m_processor_v_reply_h_owned(c_p0, s2)))),
% 4.80/4.96 inference(rewrite,[status(thm)],[])).
% 4.80/4.96 tff(8978,plain,
% 4.80/4.96 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | ((~node5(s2)) | (~m_processor_v_reply_h_owned(c_p0, s2)))),
% 4.80/4.96 inference(quant_inst,[status(thm)],[])).
% 4.80/4.96 tff(8979,plain,
% 4.80/4.96 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | (~node5(s2)) | (~m_processor_v_reply_h_owned(c_p0, s2))),
% 4.80/4.96 inference(modus_ponens,[status(thm)],[8978, 8977])).
% 4.80/4.96 tff(8980,plain,
% 4.80/4.96 ($false),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[8979, 8648, 6721, 8976])).
% 4.80/4.96 tff(8981,plain,((~m_processor_v_reply_h_owned(c_p0, s2)) | (~node5(s2))), inference(lemma,lemma(discharge,[]))).
% 4.80/4.96 tff(8982,plain,
% 4.80/4.96 (~node5(s2)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[8981, 8975])).
% 4.80/4.96 tff(8983,plain,
% 4.80/4.96 (m_main_v_REPLY_h_OWNED(s2)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[6752, 8982])).
% 4.80/4.96 tff(8984,plain,
% 4.80/4.96 (m_memory_v_REPLY_h_OWNED(c_m, s2)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[6770, 8983])).
% 4.80/4.96 tff(8985,plain,
% 4.80/4.96 (m_main_v_CMD(s2, c_read_h_owned)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[8132, 8845])).
% 4.80/4.96 tff(8986,plain,
% 4.80/4.96 (m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[5206, 8985])).
% 4.80/4.96 tff(8987,plain,
% 4.80/4.96 (~node25(c_m, s2)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[7189, 8986])).
% 4.80/4.96 tff(8988,plain,
% 4.80/4.96 (~node26(c_m, s2)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[7210, 8987, 8984])).
% 4.80/4.96 tff(8989,plain,
% 4.80/4.96 (m_memory_v_abort(c_m, s2)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[7225, 8988])).
% 4.80/4.96 tff(8990,plain,
% 4.80/4.96 (node18(c_m, s2, s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[7234, 8989])).
% 4.80/4.96 tff(8991,plain,
% 4.80/4.96 (~node30(c_m, s2)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[5214, 8986])).
% 4.80/4.96 tff(8992,plain,
% 4.80/4.96 (~m_memory_v_busy(c_m, s2)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[7174, 8991, 8123])).
% 4.80/4.96 tff(8993,plain,
% 4.80/4.96 (~m_memory_v_busy(c_m, s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[7251, 7245, 8992, 8990])).
% 4.80/4.96 tff(8994,plain,
% 4.80/4.96 (~node29(c_m, s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[7256, 8993])).
% 4.80/4.96 tff(8995,plain,
% 4.80/4.96 (m_memory_v_cmd(c_m, s3, c_idle)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[2568, 8994])).
% 4.80/4.96 tff(8996,plain,
% 4.80/4.96 (m_processor_v_writable(c_p0, s4)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[6081, 8900])).
% 4.80/4.96 tff(8997,plain,
% 4.80/4.96 (node56(c_p0, s4)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[2809, 8996])).
% 4.80/4.96 tff(8998,plain,
% 4.80/4.96 (m_processor_v_state(c_p0, s4, c_owned)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[2298, 8997])).
% 4.80/4.96 tff(8999,plain,
% 4.80/4.96 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[2302, 228, 8998])).
% 4.80/4.96 tff(9000,plain,
% 4.80/4.96 (m_processor_v_state(c_p1, s4, c_owned)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[4188, 8902])).
% 4.80/4.96 tff(9001,plain,
% 4.80/4.96 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[4194, 228, 9000])).
% 4.80/4.96 tff(9002,plain,
% 4.80/4.96 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[2461, 8949])).
% 4.80/4.96 tff(9003,plain,
% 4.80/4.96 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node47(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node47(c_p1, s3)))),
% 4.80/4.96 inference(rewrite,[status(thm)],[])).
% 4.80/4.96 tff(9004,plain,
% 4.80/4.96 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node47(c_p1, s3)))),
% 4.80/4.96 inference(quant_inst,[status(thm)],[])).
% 4.80/4.96 tff(9005,plain,
% 4.80/4.96 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node47(c_p1, s3))),
% 4.80/4.96 inference(modus_ponens,[status(thm)],[9004, 9003])).
% 4.80/4.96 tff(9006,plain,
% 4.80/4.96 (~node47(c_p1, s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[9005, 6239, 8949])).
% 4.80/4.96 tff(9007,plain,
% 4.80/4.96 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node48(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node48(c_p1, s3)))),
% 4.80/4.96 inference(rewrite,[status(thm)],[])).
% 4.80/4.96 tff(9008,plain,
% 4.80/4.96 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node48(c_p1, s3)))),
% 4.80/4.96 inference(quant_inst,[status(thm)],[])).
% 4.80/4.96 tff(9009,plain,
% 4.80/4.96 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node48(c_p1, s3))),
% 4.80/4.96 inference(modus_ponens,[status(thm)],[9008, 9007])).
% 4.80/4.96 tff(9010,plain,
% 4.80/4.96 (~node48(c_p1, s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[9009, 6250, 8949])).
% 4.80/4.96 tff(9011,assumption,(~node48(c_p1, s3)), introduced(assumption)).
% 4.80/4.96 tff(9012,assumption,(~node47(c_p1, s3)), introduced(assumption)).
% 4.80/4.96 tff(9013,assumption,(~m_processor_v_snoop(c_p0, s3, c_owned)), introduced(assumption)).
% 4.80/4.96 tff(9014,assumption,(~m_processor_v_snoop(c_p0, s3, c_shared)), introduced(assumption)).
% 4.80/4.96 tff(9015,assumption,(~node61(c_p0, s3)), introduced(assumption)).
% 4.80/4.96 tff(9016,plain,
% 4.80/4.96 (node60(c_p1, s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[4322, 4206])).
% 4.80/4.96 tff(9017,plain,
% 4.80/4.96 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s3)) | (~node60(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s3)) | (~node60(c_p1, s3)))),
% 4.80/4.96 inference(rewrite,[status(thm)],[])).
% 4.80/4.96 tff(9018,plain,
% 4.80/4.96 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s3)) | (~node60(c_p1, s3)))),
% 4.80/4.96 inference(quant_inst,[status(thm)],[])).
% 4.80/4.96 tff(9019,plain,
% 4.80/4.96 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s3)) | (~node60(c_p1, s3))),
% 4.80/4.96 inference(modus_ponens,[status(thm)],[9018, 9017])).
% 4.80/4.96 tff(9020,plain,
% 4.80/4.96 ($false),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[9019, 538, 6137, 6875])).
% 4.80/4.96 tff(9021,plain,((~node60(c_p1, s3)) | (~m_processor_v_REPLY_h_STALL(c_p1, s3))), inference(lemma,lemma(discharge,[]))).
% 4.80/4.96 tff(9022,plain,
% 4.80/4.96 (~m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[9021, 9016])).
% 4.80/4.96 tff(9023,assumption,(m_main_v_REPLY_h_STALL(s3)), introduced(assumption)).
% 4.80/4.96 tff(9024,plain,
% 4.80/4.96 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p1, s3))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p1, s3))),
% 4.80/4.96 inference(rewrite,[status(thm)],[])).
% 4.80/4.96 tff(9025,plain,
% 4.80/4.96 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p1, s3))),
% 4.80/4.96 inference(quant_inst,[status(thm)],[])).
% 4.80/4.96 tff(9026,plain,
% 4.80/4.96 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 4.80/4.96 inference(modus_ponens,[status(thm)],[9025, 9024])).
% 4.80/4.96 tff(9027,plain,
% 4.80/4.96 ($false),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[9026, 524, 9023, 6549])).
% 4.80/4.96 tff(9028,plain,(m_processor_v_REPLY_h_STALL(c_p1, s3) | (~m_main_v_REPLY_h_STALL(s3))), inference(lemma,lemma(discharge,[]))).
% 4.80/4.96 tff(9029,plain,
% 4.80/4.96 (~m_main_v_REPLY_h_STALL(s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[9028, 9022])).
% 4.80/4.96 tff(9030,assumption,(m_processor_v_REPLY_h_STALL(c_p0, s3)), introduced(assumption)).
% 4.80/4.96 tff(9031,plain,
% 4.80/4.96 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s3) | (~m_processor_v_REPLY_h_STALL(c_p0, s3)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s3) | (~m_processor_v_REPLY_h_STALL(c_p0, s3)))),
% 4.80/4.96 inference(rewrite,[status(thm)],[])).
% 4.80/4.96 tff(9032,plain,
% 4.80/4.96 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s3) | (~m_processor_v_REPLY_h_STALL(c_p0, s3)))),
% 4.80/4.96 inference(quant_inst,[status(thm)],[])).
% 4.80/4.96 tff(9033,plain,
% 4.80/4.96 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s3) | (~m_processor_v_REPLY_h_STALL(c_p0, s3))),
% 4.80/4.96 inference(modus_ponens,[status(thm)],[9032, 9031])).
% 4.80/4.96 tff(9034,plain,
% 4.80/4.96 ($false),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[9033, 508, 6136, 9030])).
% 4.80/4.96 tff(9035,plain,((~m_processor_v_REPLY_h_STALL(c_p0, s3)) | m_main_v_REPLY_h_STALL(s3)), inference(lemma,lemma(discharge,[]))).
% 4.80/4.96 tff(9036,plain,
% 4.80/4.96 (~m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[9035, 9029])).
% 4.80/4.96 tff(9037,assumption,(~m_processor_v_REPLY_h_STALL(c_p0, s3)), introduced(assumption)).
% 4.80/4.96 tff(9038,assumption,(m_processor_v_abort(c_p0, s3)), introduced(assumption)).
% 4.80/4.96 tff(9039,plain,
% 4.80/4.96 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s3)) | m_processor_v_REPLY_h_STALL(c_p0, s3) | node61(c_p0, s3))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s3)) | m_processor_v_REPLY_h_STALL(c_p0, s3) | node61(c_p0, s3))),
% 4.80/4.96 inference(rewrite,[status(thm)],[])).
% 4.80/4.96 tff(9040,plain,
% 4.80/4.96 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s3)) | m_processor_v_REPLY_h_STALL(c_p0, s3) | node61(c_p0, s3))),
% 4.80/4.96 inference(quant_inst,[status(thm)],[])).
% 4.80/4.96 tff(9041,plain,
% 4.80/4.96 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s3)) | m_processor_v_REPLY_h_STALL(c_p0, s3) | node61(c_p0, s3)),
% 4.80/4.96 inference(modus_ponens,[status(thm)],[9040, 9039])).
% 4.80/4.96 tff(9042,plain,
% 4.80/4.96 ($false),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[9041, 4672, 9038, 9015, 9037])).
% 4.80/4.96 tff(9043,plain,((~m_processor_v_abort(c_p0, s3)) | node61(c_p0, s3) | m_processor_v_REPLY_h_STALL(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 4.80/4.96 tff(9044,plain,
% 4.80/4.96 (~m_processor_v_abort(c_p0, s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[9043, 9036, 9015])).
% 4.80/4.96 tff(9045,plain,
% 4.80/4.96 (~node16(s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[2475, 2472, 2539])).
% 4.80/4.96 tff(9046,plain,
% 4.80/4.96 (~m_processor_v_master(c_p2, s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[2483, 9045])).
% 4.80/4.96 tff(9047,assumption,(node64(c_p0, s3)), introduced(assumption)).
% 4.80/4.96 tff(9048,plain,
% 4.80/4.96 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p0, s3, c_owned) | (~node64(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p0, s3, c_owned) | (~node64(c_p0, s3)))),
% 4.80/4.96 inference(rewrite,[status(thm)],[])).
% 4.80/4.96 tff(9049,plain,
% 4.80/4.96 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p0, s3, c_owned) | (~node64(c_p0, s3)))),
% 4.80/4.96 inference(quant_inst,[status(thm)],[])).
% 4.80/4.96 tff(9050,plain,
% 4.80/4.96 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p0, s3, c_owned) | (~node64(c_p0, s3))),
% 4.80/4.96 inference(modus_ponens,[status(thm)],[9049, 9048])).
% 4.80/4.96 tff(9051,plain,
% 4.80/4.96 ($false),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[9050, 5062, 9013, 9047])).
% 4.80/4.96 tff(9052,plain,((~node64(c_p0, s3)) | m_processor_v_snoop(c_p0, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.80/4.96 tff(9053,plain,
% 4.80/4.96 (~node64(c_p0, s3)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[9052, 9013])).
% 4.80/4.96 tff(9054,assumption,(~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)), introduced(assumption)).
% 4.80/4.96 tff(9055,assumption,(~m_processor_v_snoop(c_p0, s3, c_invalid)), introduced(assumption)).
% 4.80/4.96 tff(9056,plain,
% 4.80/4.96 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s3, c_invalid) | m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s3, c_invalid) | m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned))),
% 4.80/4.96 inference(rewrite,[status(thm)],[])).
% 4.80/4.96 tff(9057,plain,
% 4.80/4.96 ((m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned) | m_processor_v_snoop(c_p0, s3, c_invalid)) <=> (m_processor_v_snoop(c_p0, s3, c_invalid) | m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned))),
% 4.80/4.96 inference(rewrite,[status(thm)],[])).
% 4.80/4.96 tff(9058,plain,
% 4.80/4.96 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned) | m_processor_v_snoop(c_p0, s3, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s3, c_invalid) | m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned)))),
% 4.80/4.96 inference(monotonicity,[status(thm)],[9057])).
% 4.80/4.96 tff(9059,plain,
% 4.80/4.96 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned) | m_processor_v_snoop(c_p0, s3, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s3, c_invalid) | m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned))),
% 4.80/4.96 inference(transitivity,[status(thm)],[9058, 9056])).
% 4.80/4.96 tff(9060,plain,
% 4.80/4.96 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned) | m_processor_v_snoop(c_p0, s3, c_invalid))),
% 4.80/4.96 inference(quant_inst,[status(thm)],[])).
% 4.80/4.96 tff(9061,plain,
% 4.80/4.96 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s3, c_invalid) | m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned)),
% 4.80/4.96 inference(modus_ponens,[status(thm)],[9060, 9059])).
% 4.80/4.96 tff(9062,plain,
% 4.80/4.96 ($false),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[9061, 5108, 9055, 9014, 9013])).
% 4.80/4.96 tff(9063,plain,(m_processor_v_snoop(c_p0, s3, c_owned) | m_processor_v_snoop(c_p0, s3, c_invalid) | m_processor_v_snoop(c_p0, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.80/4.96 tff(9064,plain,
% 4.80/4.96 (m_processor_v_snoop(c_p0, s3, c_invalid)),
% 4.80/4.96 inference(unit_resolution,[status(thm)],[9063, 9014, 9013])).
% 4.80/4.96 tff(9065,plain,
% 4.80/4.96 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | node64(c_p0, s3) | node63(c_p0, s3) | node65(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | node64(c_p0, s3) | node63(c_p0, s3) | node65(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3))),
% 4.80/4.96 inference(rewrite,[status(thm)],[])).
% 4.80/4.96 tff(9066,plain,
% 4.80/4.96 ((m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | node63(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3)) <=> ((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | node64(c_p0, s3) | node63(c_p0, s3) | node65(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3))),
% 4.80/4.96 inference(rewrite,[status(thm)],[])).
% 4.80/4.96 tff(9067,plain,
% 4.80/4.96 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | node63(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | node64(c_p0, s3) | node63(c_p0, s3) | node65(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3)))),
% 4.80/4.96 inference(monotonicity,[status(thm)],[9066])).
% 4.80/4.96 tff(9068,plain,
% 4.80/4.96 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | node63(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | node64(c_p0, s3) | node63(c_p0, s3) | node65(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3))),
% 4.80/4.96 inference(transitivity,[status(thm)],[9067, 9065])).
% 4.80/4.96 tff(9069,plain,
% 4.80/4.96 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | node63(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3))),
% 4.80/4.97 inference(quant_inst,[status(thm)],[])).
% 4.80/4.97 tff(9070,plain,
% 4.80/4.97 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | node64(c_p0, s3) | node63(c_p0, s3) | node65(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3)),
% 4.80/4.97 inference(modus_ponens,[status(thm)],[9069, 9068])).
% 4.80/4.97 tff(9071,plain,
% 4.80/4.97 ((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | node64(c_p0, s3) | node63(c_p0, s3) | node65(c_p0, s3) | node62(c_p0, s3)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9070, 5126, 2539])).
% 4.80/4.97 tff(9072,plain,
% 4.80/4.97 (node65(c_p0, s3)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9071, 9064, 6268, 6277, 9054, 3661, 9053])).
% 4.80/4.97 tff(9073,plain,
% 4.80/4.97 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p0, s3, c_shared) | (~node65(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p0, s3, c_shared) | (~node65(c_p0, s3)))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9074,plain,
% 4.80/4.97 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p0, s3, c_shared) | (~node65(c_p0, s3)))),
% 4.80/4.97 inference(quant_inst,[status(thm)],[])).
% 4.80/4.97 tff(9075,plain,
% 4.80/4.97 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p0, s3, c_shared) | (~node65(c_p0, s3))),
% 4.80/4.97 inference(modus_ponens,[status(thm)],[9074, 9073])).
% 4.80/4.97 tff(9076,plain,
% 4.80/4.97 ($false),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9075, 5138, 9014, 9072])).
% 4.80/4.97 tff(9077,plain,(m_processor_v_snoop(c_p0, s3, c_shared) | node62(c_p0, s3) | node63(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_snoop(c_p0, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 4.80/4.97 tff(9078,plain,
% 4.80/4.97 (m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_snoop(c_p0, s3, c_owned)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9077, 3660, 7263, 7264])).
% 4.80/4.97 tff(9079,plain,
% 4.80/4.97 (m_processor_v_cmd(c_p0, s3, c_write_h_invalid)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9078, 2539, 9014, 9013])).
% 4.80/4.97 tff(9080,plain,
% 4.80/4.97 (node34(c_p0, s3, s4)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[2589, 2539, 2368])).
% 4.80/4.97 tff(9081,assumption,(m_main_v_CMD(s3, c_write_h_invalid)), introduced(assumption)).
% 4.80/4.97 tff(9082,plain,
% 4.80/4.97 (^[X: $i] : refl(((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid))) <=> ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid))))),
% 4.80/4.97 inference(bind,[status(th)],[])).
% 4.80/4.97 tff(9083,plain,
% 4.80/4.97 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 4.80/4.97 inference(quant_intro,[status(thm)],[9082])).
% 4.80/4.97 tff(9084,plain,
% 4.80/4.97 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9085,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_11')).
% 4.80/4.97 tff(9086,plain,
% 4.80/4.97 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 4.80/4.97 inference(modus_ponens,[status(thm)],[9085, 9084])).
% 4.80/4.97 tff(9087,plain,(
% 4.80/4.97 ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 4.80/4.97 inference(skolemize,[status(sab)],[9086])).
% 4.80/4.97 tff(9088,plain,
% 4.80/4.97 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 4.80/4.97 inference(modus_ponens,[status(thm)],[9087, 9083])).
% 4.80/4.97 tff(9089,plain,
% 4.80/4.97 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_invalid)))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9090,plain,
% 4.80/4.97 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_invalid)))),
% 4.80/4.97 inference(quant_inst,[status(thm)],[])).
% 4.80/4.97 tff(9091,plain,
% 4.80/4.97 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_invalid))),
% 4.80/4.97 inference(modus_ponens,[status(thm)],[9090, 9089])).
% 4.80/4.97 tff(9092,plain,
% 4.80/4.97 (~m_main_v_CMD(s3, c_read_h_shared)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9091, 9088, 9081])).
% 4.80/4.97 tff(9093,assumption,(~m_processor_v_CMD(c_p0, s3, c_write_h_invalid)), introduced(assumption)).
% 4.80/4.97 tff(9094,plain,
% 4.80/4.97 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~node2(s3)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~node2(s3)))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9095,plain,
% 4.80/4.97 (((~m_main_v_CMD(s3, c_write_h_invalid)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid)) <=> (m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~node2(s3)))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9096,plain,
% 4.80/4.97 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~node2(s3))))),
% 4.80/4.97 inference(monotonicity,[status(thm)],[9095])).
% 4.80/4.97 tff(9097,plain,
% 4.80/4.97 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~node2(s3)))),
% 4.80/4.97 inference(transitivity,[status(thm)],[9096, 9094])).
% 4.80/4.97 tff(9098,plain,
% 4.80/4.97 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid))),
% 4.80/4.97 inference(quant_inst,[status(thm)],[])).
% 4.80/4.97 tff(9099,plain,
% 4.80/4.97 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~node2(s3))),
% 4.80/4.97 inference(modus_ponens,[status(thm)],[9098, 9097])).
% 4.80/4.97 tff(9100,plain,
% 4.80/4.97 ($false),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9099, 2697, 2687, 9093, 9081])).
% 4.80/4.97 tff(9101,plain,((~m_main_v_CMD(s3, c_write_h_invalid)) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.80/4.97 tff(9102,plain,
% 4.80/4.97 (m_processor_v_CMD(c_p0, s3, c_write_h_invalid)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9101, 9081])).
% 4.80/4.97 tff(9103,plain,
% 4.80/4.97 (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_state(c_p0, s4, c_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid))),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[2605, 1209, 2592, 2591])).
% 4.80/4.97 tff(9104,plain,
% 4.80/4.97 (m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9103, 9102, 2311])).
% 4.80/4.97 tff(9105,plain,
% 4.80/4.97 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_read_h_shared) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s3, c_read_h_shared) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9106,plain,
% 4.80/4.97 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_read_h_shared) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))),
% 4.80/4.97 inference(quant_inst,[status(thm)],[])).
% 4.80/4.97 tff(9107,plain,
% 4.80/4.97 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s3, c_read_h_shared) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared))),
% 4.80/4.97 inference(modus_ponens,[status(thm)],[9106, 9105])).
% 4.80/4.97 tff(9108,plain,
% 4.80/4.97 ($false),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9107, 1749, 2687, 9104, 9092])).
% 4.80/4.97 tff(9109,plain,((~m_main_v_CMD(s3, c_write_h_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 4.80/4.97 tff(9110,plain,
% 4.80/4.97 (~m_main_v_CMD(s3, c_write_h_invalid)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9109, 9080, 2311, 2591])).
% 4.80/4.97 tff(9111,plain,
% 4.80/4.97 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_write_h_invalid) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s3, c_write_h_invalid) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9112,plain,
% 4.80/4.97 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_write_h_invalid) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)))),
% 4.80/4.97 inference(quant_inst,[status(thm)],[])).
% 4.80/4.97 tff(9113,plain,
% 4.80/4.97 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s3, c_write_h_invalid) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid))),
% 4.80/4.97 inference(modus_ponens,[status(thm)],[9112, 9111])).
% 4.80/4.97 tff(9114,plain,
% 4.80/4.97 (~node8(s3)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9113, 2716, 9110, 9079])).
% 4.80/4.97 tff(9115,plain,
% 4.80/4.97 (~m_processor_v_cmd(c_p2, s3, c_idle)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[6428, 9114, 6408])).
% 4.80/4.97 tff(9116,plain,
% 4.80/4.97 ($false),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[2536, 9115, 9046, 2508])).
% 4.80/4.97 tff(9117,plain,((~m_processor_v_master(c_p0, s3)) | node65(c_p2, s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned) | m_processor_v_abort(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 4.80/4.97 tff(9118,plain,
% 4.80/4.97 (node65(c_p2, s3)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9117, 2539, 6408, 6396, 2311, 2591, 9014, 9013, 2368])).
% 4.80/4.97 tff(9119,plain,
% 4.80/4.97 (m_processor_v_master(c_p2, s3)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[2491, 9118])).
% 4.80/4.97 tff(9120,plain,
% 4.80/4.97 (node16(s3)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[2483, 9119])).
% 4.80/4.97 tff(9121,plain,
% 4.80/4.97 ($false),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[2475, 2472, 2539, 9120])).
% 4.80/4.97 tff(9122,plain,((~m_processor_v_master(c_p0, s3)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned) | m_processor_v_abort(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 4.80/4.97 tff(9123,plain,
% 4.80/4.97 (~m_processor_v_master(c_p0, s3)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9122, 9044, 6396, 2311, 2591, 9014, 9013, 6408])).
% 4.80/4.97 tff(9124,plain,
% 4.80/4.97 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[6288, 9123])).
% 4.80/4.97 tff(9125,plain,
% 4.80/4.97 (~m_processor_v_cmd(c_p0, s3, c_response)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[6850, 6367])).
% 4.80/4.97 tff(9126,assumption,(~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)), introduced(assumption)).
% 4.80/4.97 tff(9127,plain,
% 4.80/4.97 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~node50(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~node50(c_p1, s3)))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9128,plain,
% 4.80/4.97 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~node50(c_p1, s3)))),
% 4.80/4.97 inference(quant_inst,[status(thm)],[])).
% 4.80/4.97 tff(9129,plain,
% 4.80/4.97 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~node50(c_p1, s3))),
% 4.80/4.97 inference(modus_ponens,[status(thm)],[9128, 9127])).
% 4.80/4.97 tff(9130,plain,
% 4.80/4.97 (~node50(c_p1, s3)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9129, 6591, 9126])).
% 4.80/4.97 tff(9131,assumption,(m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)), introduced(assumption)).
% 4.80/4.97 tff(9132,plain,
% 4.80/4.97 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9133,plain,
% 4.80/4.97 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)))),
% 4.80/4.97 inference(quant_inst,[status(thm)],[])).
% 4.80/4.97 tff(9134,plain,
% 4.80/4.97 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared))),
% 4.80/4.97 inference(modus_ponens,[status(thm)],[9133, 9132])).
% 4.80/4.97 tff(9135,plain,
% 4.80/4.97 ($false),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9134, 1107, 6367, 9131])).
% 4.80/4.97 tff(9136,plain,((~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p0, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 4.80/4.97 tff(9137,plain,
% 4.80/4.97 (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9136, 6367])).
% 4.80/4.97 tff(9138,assumption,(~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)), introduced(assumption)).
% 4.80/4.97 tff(9139,plain,
% 4.80/4.97 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node8(s3)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node8(s3)))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9140,plain,
% 4.80/4.97 (((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)) <=> (m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node8(s3)))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9141,plain,
% 4.80/4.97 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node8(s3))))),
% 4.80/4.97 inference(monotonicity,[status(thm)],[9140])).
% 4.80/4.97 tff(9142,plain,
% 4.80/4.97 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node8(s3)))),
% 4.80/4.97 inference(transitivity,[status(thm)],[9141, 9139])).
% 4.80/4.97 tff(9143,plain,
% 4.80/4.97 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared))),
% 4.80/4.97 inference(quant_inst,[status(thm)],[])).
% 4.80/4.97 tff(9144,plain,
% 4.80/4.97 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node8(s3))),
% 4.80/4.97 inference(modus_ponens,[status(thm)],[9143, 9142])).
% 4.80/4.97 tff(9145,plain,
% 4.80/4.97 ($false),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9144, 1069, 6675, 6397, 9138])).
% 4.80/4.97 tff(9146,plain,((~node8(s3)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.80/4.97 tff(9147,plain,
% 4.80/4.97 (~node8(s3)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9146, 6675, 9137])).
% 4.80/4.97 tff(9148,plain,
% 4.80/4.97 (node12(s3)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[6430, 9147, 6396, 6408, 6367])).
% 4.80/4.97 tff(9149,plain,
% 4.80/4.97 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node12(s3)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node12(s3)))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9150,plain,
% 4.80/4.97 (((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~node12(s3))) <=> (m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node12(s3)))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9151,plain,
% 4.80/4.97 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~node12(s3)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node12(s3))))),
% 4.80/4.97 inference(monotonicity,[status(thm)],[9150])).
% 4.80/4.97 tff(9152,plain,
% 4.80/4.97 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~node12(s3)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node12(s3)))),
% 4.80/4.97 inference(transitivity,[status(thm)],[9151, 9149])).
% 4.80/4.97 tff(9153,plain,
% 4.80/4.97 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~node12(s3)))),
% 4.80/4.97 inference(quant_inst,[status(thm)],[])).
% 4.80/4.97 tff(9154,plain,
% 4.80/4.97 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node12(s3))),
% 4.80/4.97 inference(modus_ponens,[status(thm)],[9153, 9152])).
% 4.80/4.97 tff(9155,plain,
% 4.80/4.97 ($false),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9154, 5782, 9148, 6675, 9137])).
% 4.80/4.97 tff(9156,plain,((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 4.80/4.97 tff(9157,plain,
% 4.80/4.97 (~m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9156, 6367, 6408, 6396])).
% 4.80/4.97 tff(9158,plain,
% 4.80/4.97 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9159,plain,
% 4.80/4.97 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)))),
% 4.80/4.97 inference(quant_inst,[status(thm)],[])).
% 4.80/4.97 tff(9160,plain,
% 4.80/4.97 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))),
% 4.80/4.97 inference(modus_ponens,[status(thm)],[9159, 9158])).
% 4.80/4.97 tff(9161,plain,
% 4.80/4.97 (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9160, 675, 6309, 9157])).
% 4.80/4.97 tff(9162,plain,
% 4.80/4.97 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~node51(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~node51(c_p1, s3)))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9163,plain,
% 4.80/4.97 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~node51(c_p1, s3)))),
% 4.80/4.97 inference(quant_inst,[status(thm)],[])).
% 4.80/4.97 tff(9164,plain,
% 4.80/4.97 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~node51(c_p1, s3))),
% 4.80/4.97 inference(modus_ponens,[status(thm)],[9163, 9162])).
% 4.80/4.97 tff(9165,plain,
% 4.80/4.97 (~node51(c_p1, s3)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9164, 6660, 9161])).
% 4.80/4.97 tff(9166,plain,
% 4.80/4.97 (node49(c_p1, s3)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[8941, 9165, 8930, 9012, 9011, 4206, 9130])).
% 4.80/4.97 tff(9167,plain,
% 4.80/4.97 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_response))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_response))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9168,plain,
% 4.80/4.97 ((m_processor_v_CMD(c_p1, s3, c_response) | (~node49(c_p1, s3))) <=> ((~node49(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_response))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9169,plain,
% 4.80/4.97 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_response) | (~node49(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_response)))),
% 4.80/4.97 inference(monotonicity,[status(thm)],[9168])).
% 4.80/4.97 tff(9170,plain,
% 4.80/4.97 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_response) | (~node49(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_response))),
% 4.80/4.97 inference(transitivity,[status(thm)],[9169, 9167])).
% 4.80/4.97 tff(9171,plain,
% 4.80/4.97 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_response) | (~node49(c_p1, s3)))),
% 4.80/4.97 inference(quant_inst,[status(thm)],[])).
% 4.80/4.97 tff(9172,plain,
% 4.80/4.97 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_response)),
% 4.80/4.97 inference(modus_ponens,[status(thm)],[9171, 9170])).
% 4.80/4.97 tff(9173,plain,
% 4.80/4.97 (m_processor_v_CMD(c_p1, s3, c_response)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9172, 6643, 9166])).
% 4.80/4.97 tff(9174,plain,
% 4.80/4.97 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_response) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_response) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_response)))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9175,plain,
% 4.80/4.97 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_response) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_response)))),
% 4.80/4.97 inference(quant_inst,[status(thm)],[])).
% 4.80/4.97 tff(9176,plain,
% 4.80/4.97 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_response) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_response))),
% 4.80/4.97 inference(modus_ponens,[status(thm)],[9175, 9174])).
% 4.80/4.97 tff(9177,plain,
% 4.80/4.97 (m_main_v_CMD(s3, c_response)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9176, 675, 6309, 9173])).
% 4.80/4.97 tff(9178,plain,
% 4.80/4.97 (~node12(s3)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[6860, 9177, 9125])).
% 4.80/4.97 tff(9179,plain,
% 4.80/4.97 (node8(s3)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[6430, 9178, 6396, 6408, 6367])).
% 4.80/4.97 tff(9180,plain,
% 4.80/4.97 ($false),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[6864, 1069, 9177, 9179, 9125])).
% 4.80/4.97 tff(9181,plain,((~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node52(c_p1, s3, s4) | node47(c_p1, s3) | node48(c_p1, s3) | m_processor_v_abort(c_p1, s3) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 4.80/4.97 tff(9182,plain,
% 4.80/4.97 (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9181, 9124, 6408, 8930, 9012, 9011, 4206, 6396])).
% 4.80/4.97 tff(9183,plain,
% 4.80/4.97 (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[6577, 9124, 4204, 9022])).
% 4.80/4.97 tff(9184,plain,
% 4.80/4.97 ($false),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[7484, 675, 6309, 9183, 9182])).
% 4.80/4.97 tff(9185,plain,(m_processor_v_abort(c_p1, s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node52(c_p1, s3, s4) | node47(c_p1, s3) | node48(c_p1, s3) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned) | node61(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 4.80/4.97 tff(9186,plain,
% 4.80/4.97 (node61(c_p0, s3)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9185, 9010, 8911, 8895, 9006, 9002, 9001, 8999, 8970, 8844, 8836, 8995])).
% 4.80/4.97 tff(9187,assumption,(node61(c_p0, s3)), introduced(assumption)).
% 4.80/4.97 tff(9188,assumption,(~m_processor_v_CMD(c_p0, s3, c_read_h_shared)), introduced(assumption)).
% 4.80/4.97 tff(9189,plain,
% 4.80/4.97 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node61(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node61(c_p0, s3)))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9190,plain,
% 4.80/4.97 ((m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node61(c_p0, s3))) <=> (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node61(c_p0, s3)))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9191,plain,
% 4.80/4.97 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node61(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node61(c_p0, s3))))),
% 4.80/4.97 inference(monotonicity,[status(thm)],[9190])).
% 4.80/4.97 tff(9192,plain,
% 4.80/4.97 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node61(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node61(c_p0, s3)))),
% 4.80/4.97 inference(transitivity,[status(thm)],[9191, 9189])).
% 4.80/4.97 tff(9193,plain,
% 4.80/4.97 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node61(c_p0, s3)))),
% 4.80/4.97 inference(quant_inst,[status(thm)],[])).
% 4.80/4.97 tff(9194,plain,
% 4.80/4.97 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node61(c_p0, s3))),
% 4.80/4.97 inference(modus_ponens,[status(thm)],[9193, 9192])).
% 4.80/4.97 tff(9195,plain,
% 4.80/4.97 ($false),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9194, 6559, 2591, 9188, 9187])).
% 4.80/4.97 tff(9196,plain,((~node61(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 4.80/4.97 tff(9197,plain,
% 4.80/4.97 (m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9196, 9186, 8970])).
% 4.80/4.97 tff(9198,plain,
% 4.80/4.97 (m_main_v_CMD(s3, c_read_h_shared)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[9107, 1749, 2687, 9197])).
% 4.80/4.97 tff(9199,plain,
% 4.80/4.97 (~m_main_v_CMD(s3, c_response)),
% 4.80/4.97 inference(unit_resolution,[status(thm)],[6628, 6625, 9198])).
% 4.80/4.97 tff(9200,plain,
% 4.80/4.97 (^[X: $i] : refl(((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared))) <=> ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared))))),
% 4.80/4.97 inference(bind,[status(th)],[])).
% 4.80/4.97 tff(9201,plain,
% 4.80/4.97 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))),
% 4.80/4.97 inference(quant_intro,[status(thm)],[9200])).
% 4.80/4.97 tff(9202,plain,
% 4.80/4.97 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9203,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_2')).
% 4.80/4.97 tff(9204,plain,
% 4.80/4.97 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))),
% 4.80/4.97 inference(modus_ponens,[status(thm)],[9203, 9202])).
% 4.80/4.97 tff(9205,plain,(
% 4.80/4.97 ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))),
% 4.80/4.97 inference(skolemize,[status(sab)],[9204])).
% 4.80/4.97 tff(9206,plain,
% 4.80/4.97 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))),
% 4.80/4.97 inference(modus_ponens,[status(thm)],[9205, 9201])).
% 4.80/4.97 tff(9207,plain,
% 4.80/4.97 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | ((~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_read_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | (~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_read_h_shared)))),
% 4.80/4.97 inference(rewrite,[status(thm)],[])).
% 4.80/4.97 tff(9208,plain,
% 4.80/4.97 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | ((~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_read_h_shared)))),
% 4.80/4.97 inference(quant_inst,[status(thm)],[])).
% 4.80/4.98 tff(9209,plain,
% 4.80/4.98 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | (~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_read_h_shared))),
% 4.80/4.98 inference(modus_ponens,[status(thm)],[9208, 9207])).
% 4.80/4.98 tff(9210,plain,
% 4.80/4.98 (~m_main_v_CMD(s3, c_idle)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[9209, 9206, 9198])).
% 4.80/4.98 tff(9211,plain,
% 4.80/4.98 (~m_processor_v_cmd(c_p0, s3, c_idle)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[6546, 9210, 9002, 9199])).
% 4.80/4.98 tff(9212,plain,
% 4.80/4.98 (m_processor_v_master(c_p0, s3)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[6288, 9211])).
% 4.80/4.98 tff(9213,plain,
% 4.80/4.98 (m_processor_v_cmd(c_p0, s3, c_write_h_invalid)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[9078, 9212, 8844, 8836])).
% 4.80/4.98 tff(9214,plain,
% 4.80/4.98 (~m_main_v_CMD(s3, c_write_h_invalid)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[9091, 9088, 9198])).
% 4.80/4.98 tff(9215,plain,
% 4.80/4.98 (~node8(s3)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[9113, 2716, 9214, 9213])).
% 4.80/4.98 tff(9216,plain,
% 4.80/4.98 ((~m_processor_v_cmd(c_p2, s3, c_idle)) | node8(s3)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[2575, 1130, 8995, 9002])).
% 4.80/4.98 tff(9217,plain,
% 4.80/4.98 (~m_processor_v_cmd(c_p2, s3, c_idle)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[9216, 9215])).
% 4.80/4.98 tff(9218,plain,
% 4.80/4.98 (~node16(s3)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[2475, 2472, 9212])).
% 4.80/4.98 tff(9219,plain,
% 4.80/4.98 (~m_processor_v_master(c_p2, s3)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[2483, 9218])).
% 4.80/4.98 tff(9220,plain,
% 4.80/4.98 (~node65(c_p2, s3)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[2491, 9219])).
% 4.80/4.98 tff(9221,plain,
% 4.80/4.98 ($false),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[2536, 9220, 9219, 9217])).
% 4.80/4.98 tff(9222,plain,(m_processor_v_state(c_p1, s3, c_invalid) | m_processor_v_state(c_p1, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.80/4.98 tff(9223,plain,
% 4.80/4.98 (m_processor_v_state(c_p1, s3, c_invalid)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[9222, 1])).
% 4.80/4.98 tff(9224,plain,
% 4.80/4.98 (~m_processor_v_state(c_p1, s3, c_owned)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4475, 9223])).
% 4.80/4.98 tff(9225,plain,
% 4.80/4.98 (~node32(c_p1, s3, s4)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[7655, 9224])).
% 4.80/4.98 tff(9226,plain,
% 4.80/4.98 (~m_processor_v_abort(c_p1, s3)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4259, 9225])).
% 4.80/4.98 tff(9227,plain,
% 4.80/4.98 (~node56(c_p1, s3)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[7609, 9224])).
% 4.80/4.98 tff(9228,plain,
% 4.80/4.98 (~m_processor_v_writable(c_p1, s3)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[7617, 9227])).
% 4.80/4.98 tff(9229,plain,
% 4.80/4.98 (~node67(s3)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[7627, 9228])).
% 4.80/4.98 tff(9230,plain,
% 4.80/4.98 (node67(s4)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[7636, 9229])).
% 4.80/4.98 tff(9231,plain,
% 4.80/4.98 (m_processor_v_writable(c_p1, s4)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4172, 9230])).
% 4.80/4.98 tff(9232,plain,
% 4.80/4.98 (node56(c_p1, s4)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4180, 9231])).
% 4.80/4.98 tff(9233,plain,
% 4.80/4.98 (m_processor_v_state(c_p1, s4, c_owned)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4188, 9232])).
% 4.80/4.98 tff(9234,plain,
% 4.80/4.98 (m_processor_v_master(c_p1, s3)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4504, 9233, 9223, 1, 9224])).
% 4.80/4.98 tff(9235,plain,
% 4.80/4.98 (node34(c_p1, s3, s4)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4345, 9234, 9226])).
% 4.80/4.98 tff(9236,plain,
% 4.80/4.98 (~m_processor_v_state(c_p1, s4, c_shared)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4201, 1373, 9233])).
% 4.80/4.98 tff(9237,plain,
% 4.80/4.98 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4353, 9236, 9235])).
% 4.80/4.98 tff(9238,plain,
% 4.80/4.98 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4194, 228, 9233])).
% 4.80/4.98 tff(9239,plain,
% 4.80/4.98 (~m_processor_v_waiting(c_p1, s4)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[7668, 2734, 9232])).
% 4.80/4.98 tff(9240,plain,
% 4.80/4.98 (~node47(c_p1, s3)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[7678, 2796, 9237])).
% 4.80/4.98 tff(9241,plain,
% 4.80/4.98 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[7686, 9240, 7675, 9234, 9226, 9239])).
% 4.80/4.98 tff(9242,plain,
% 4.80/4.98 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid))),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4360, 1209, 9235])).
% 4.80/4.98 tff(9243,plain,
% 4.80/4.98 (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[9242, 9241, 9238, 9237])).
% 4.80/4.98 tff(9244,plain,
% 4.80/4.98 (~node33(c_p1, s3, s4)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[7692, 1654, 9224, 9233])).
% 4.80/4.98 tff(9245,plain,
% 4.80/4.98 (m_processor_v_CMD(c_p1, s3, c_write_h_shared)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4398, 9241, 9235, 9244, 9243, 9238, 9236])).
% 4.80/4.98 tff(9246,plain,
% 4.80/4.98 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4368, 1415, 9235])).
% 4.80/4.98 tff(9247,plain,
% 4.80/4.98 (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[9246, 9243, 9238, 9241, 9237])).
% 4.80/4.98 tff(9248,plain,
% 4.80/4.98 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared))),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4405, 1444, 9235])).
% 4.80/4.98 tff(9249,plain,
% 4.80/4.98 ($false),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[9248, 9247, 9245, 9236, 9241, 9243, 9237])).
% 4.80/4.98 tff(9250,plain,(m_processor_v_state(c_p1, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 4.80/4.98 tff(9251,plain,
% 4.80/4.98 (~m_processor_v_state(c_p1, s3, c_owned)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[7388, 1373, 9250])).
% 4.80/4.98 tff(9252,plain,
% 4.80/4.98 (~node56(c_p1, s3)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[7609, 9251])).
% 4.80/4.98 tff(9253,plain,
% 4.80/4.98 (~m_processor_v_writable(c_p1, s3)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[7617, 9252])).
% 4.80/4.98 tff(9254,plain,
% 4.80/4.98 (~node67(s3)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[7627, 9253])).
% 4.80/4.98 tff(9255,plain,
% 4.80/4.98 (node67(s4)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[7636, 9254])).
% 4.80/4.98 tff(9256,plain,
% 4.80/4.98 (m_processor_v_writable(c_p1, s4)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4172, 9255])).
% 4.80/4.98 tff(9257,plain,
% 4.80/4.98 (node56(c_p1, s4)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4180, 9256])).
% 4.80/4.98 tff(9258,plain,
% 4.80/4.98 (~m_processor_v_waiting(c_p1, s4)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[7668, 2734, 9257])).
% 4.80/4.98 tff(9259,plain,
% 4.80/4.98 (~node32(c_p1, s3, s4)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[7655, 9251])).
% 4.80/4.98 tff(9260,plain,
% 4.80/4.98 (~m_processor_v_abort(c_p1, s3)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4259, 9259])).
% 4.80/4.98 tff(9261,plain,
% 4.80/4.98 (m_processor_v_state(c_p1, s4, c_owned)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4188, 9257])).
% 4.80/4.98 tff(9262,plain,
% 4.80/4.98 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4194, 228, 9261])).
% 4.80/4.98 tff(9263,plain,
% 4.80/4.98 (~m_processor_v_state(c_p1, s4, c_shared)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4201, 1373, 9261])).
% 4.80/4.98 tff(9264,plain,
% 4.80/4.98 (m_processor_v_master(c_p1, s3)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[4244, 9263, 9250, 9260, 9262])).
% 4.80/4.98 tff(9265,plain,
% 4.80/4.98 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[8927, 9264, 9258, 9260])).
% 4.80/4.98 tff(9266,plain,
% 4.80/4.98 (~node47(c_p1, s3)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[7678, 2796, 9265])).
% 4.80/4.98 tff(9267,plain,
% 4.80/4.98 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[7686, 9266, 7675, 9264, 9260, 9258])).
% 4.80/4.98 tff(9268,plain,
% 4.80/4.98 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_shared)))),
% 4.80/4.98 inference(rewrite,[status(thm)],[])).
% 4.80/4.98 tff(9269,plain,
% 4.80/4.98 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_shared)))),
% 4.80/4.98 inference(quant_inst,[status(thm)],[])).
% 4.80/4.98 tff(9270,plain,
% 4.80/4.98 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_shared))),
% 4.80/4.98 inference(modus_ponens,[status(thm)],[9269, 9268])).
% 4.80/4.98 tff(9271,plain,
% 4.80/4.98 (~m_processor_v_state(c_p1, s3, c_invalid)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[9270, 107, 9250])).
% 4.80/4.98 tff(9272,plain,
% 4.80/4.98 (~node62(c_p1, s3)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[7381, 2660, 9271])).
% 4.80/4.98 tff(9273,plain,
% 4.80/4.98 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | ((~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned))),
% 4.80/4.98 inference(rewrite,[status(thm)],[])).
% 4.80/4.98 tff(9274,plain,
% 4.80/4.98 ((m_processor_v_cmd(c_p1, s3, c_read_h_owned) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3)) <=> ((~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned))),
% 4.80/4.98 inference(rewrite,[status(thm)],[])).
% 4.80/4.98 tff(9275,plain,
% 4.80/4.98 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_read_h_owned) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | ((~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned)))),
% 4.80/4.98 inference(monotonicity,[status(thm)],[9274])).
% 4.80/4.98 tff(9276,plain,
% 4.80/4.98 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_read_h_owned) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned))),
% 4.80/4.98 inference(transitivity,[status(thm)],[9275, 9273])).
% 4.80/4.98 tff(9277,plain,
% 4.80/4.98 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_read_h_owned) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3))),
% 4.80/4.98 inference(quant_inst,[status(thm)],[])).
% 4.80/4.98 tff(9278,plain,
% 4.80/4.98 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned)),
% 4.80/4.98 inference(modus_ponens,[status(thm)],[9277, 9276])).
% 4.80/4.98 tff(9279,plain,
% 4.80/4.98 ((~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_read_h_owned)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[9278, 2674, 9250])).
% 4.80/4.98 tff(9280,plain,
% 4.80/4.98 (m_processor_v_cmd(c_p1, s3, c_read_h_owned)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[9279, 9264, 9272])).
% 4.80/4.98 tff(9281,plain,
% 4.80/4.98 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)))),
% 4.80/4.98 inference(rewrite,[status(thm)],[])).
% 4.80/4.98 tff(9282,plain,
% 4.80/4.98 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)))),
% 4.80/4.98 inference(quant_inst,[status(thm)],[])).
% 4.80/4.98 tff(9283,plain,
% 4.80/4.98 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned))),
% 4.80/4.98 inference(modus_ponens,[status(thm)],[9282, 9281])).
% 4.80/4.98 tff(9284,plain,
% 4.80/4.98 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[9283, 963, 9280])).
% 4.80/4.98 tff(9285,plain,
% 4.80/4.98 (node10(s3)),
% 4.80/4.98 inference(unit_resolution,[status(thm)],[7307, 9284])).
% 4.80/4.98 tff(9286,plain,
% 4.80/4.98 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)) | m_main_v_CMD(s3, c_read_h_owned))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)) | m_main_v_CMD(s3, c_read_h_owned))),
% 4.80/4.98 inference(rewrite,[status(thm)],[])).
% 4.80/4.98 tff(9287,plain,
% 4.80/4.98 ((m_main_v_CMD(s3, c_read_h_owned) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned))) <=> ((~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)) | m_main_v_CMD(s3, c_read_h_owned))),
% 4.80/4.98 inference(rewrite,[status(thm)],[])).
% 4.80/4.98 tff(9288,plain,
% 4.80/4.98 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)) | m_main_v_CMD(s3, c_read_h_owned)))),
% 4.80/4.98 inference(monotonicity,[status(thm)],[9287])).
% 4.80/4.98 tff(9289,plain,
% 4.80/4.98 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)) | m_main_v_CMD(s3, c_read_h_owned))),
% 4.82/4.99 inference(transitivity,[status(thm)],[9288, 9286])).
% 4.82/4.99 tff(9290,plain,
% 4.82/4.99 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)))),
% 4.82/4.99 inference(quant_inst,[status(thm)],[])).
% 4.82/4.99 tff(9291,plain,
% 4.82/4.99 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)) | m_main_v_CMD(s3, c_read_h_owned)),
% 4.82/4.99 inference(modus_ponens,[status(thm)],[9290, 9289])).
% 4.82/4.99 tff(9292,plain,
% 4.82/4.99 ((~node10(s3)) | m_main_v_CMD(s3, c_read_h_owned)),
% 4.82/4.99 inference(unit_resolution,[status(thm)],[9291, 1012, 9280])).
% 4.82/4.99 tff(9293,plain,
% 4.82/4.99 (m_main_v_CMD(s3, c_read_h_owned)),
% 4.82/4.99 inference(unit_resolution,[status(thm)],[9292, 9285])).
% 4.82/4.99 tff(9294,plain,
% 4.82/4.99 ($false),
% 4.82/4.99 inference(unit_resolution,[status(thm)],[6887, 9293, 9267])).
% 4.82/4.99 % SZS output end Proof
% 4.82/5.00 % E exiting
%------------------------------------------------------------------------------