%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL436-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:06:16 PM UTC 2026
% Result : Unsatisfiable 1.15s 1.43s
% Output : Refutation 1.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL436-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 4 15:09:58 UTC 2026
% 0.11/0.38 % CPUTime :
% 1.15/1.43 GeoParameters:
% 1.15/1.43
% 1.15/1.43 tptp_input = 1
% 1.15/1.43 tptp_output = 0
% 1.15/1.43 nonempty = 1
% 1.15/1.43 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.15/1.43 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.15/1.43
% 1.15/1.43
% 1.15/1.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.15/1.43 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.15/1.43
% 1.15/1.43 RuleSystem INPUT:
% 1.15/1.43
% 1.15/1.43 Initial Rules:
% 1.15/1.43 #0: input, references = 4, size of lhs = 16:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_v_r-{F}(V3), P_t_a-{F}(V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V3,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V5,V4,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V2,V4,V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V3,V4,V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V7,V8,V4,V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V6,V9,V4,V10), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V10,V4,V11), P_v_H-{F}(V12), P_c_PropLog_Othms-{F}(V12,V4,V13), P_tc_PropLog_Opl-{F}(V4,V14), c_in-{F}(V11,V13,V14) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #1: input, references = 4, size of lhs = 23:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_v_r-{F}(V3), P_t_a-{F}(V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V3,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V5,V4,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V2,V4,V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V3,V4,V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V7,V8,V4,V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V6,V9,V4,V10), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V10,V4,V11), P_v_H-{F}(V12), P_c_PropLog_Othms-{F}(V12,V4,V13), P_tc_PropLog_Opl-{F}(V4,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V16,V17,V18,V20), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V20,V18,V21), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V16,V18,V22), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V17,V18,V23), P_c_PropLog_Opl_Oop_A_N_62-{F}(V22,V23,V18,V24), P_c_PropLog_Opl_Oop_A_N_62-{F}(V21,V24,V18,V25), P_c_PropLog_Othms-{F}(V19,V18,V26), P_tc_PropLog_Opl-{F}(V18,V27) | c_in-{T}(V25,V26,V27)
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #2: input, references = 4, size of lhs = 19:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_v_r-{F}(V3), P_t_a-{F}(V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V3,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V5,V4,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V2,V4,V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V3,V4,V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V7,V8,V4,V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V6,V9,V4,V10), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V10,V4,V11), P_v_H-{F}(V12), P_c_PropLog_Othms-{F}(V12,V4,V13), P_tc_PropLog_Opl-{F}(V4,V14), P_c_PropLog_Othms-{F}(V17,V16,V18), P_tc_PropLog_Opl-{F}(V16,V19), c_in-{F}(V15,V18,V19), P_c_PropLog_Opl_Oop_A_N_62-{F}(V20,V15,V16,V21) | c_in-{T}(V21,V18,V19)
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #3: input, references = 13, size of lhs = 3:
% 1.15/1.43 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_PropLog_Opl_Oop_A_N_62-{T}(V0,V1,V2,V3)
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #4: input, references = 4, size of lhs = 0:
% 1.15/1.43 FALSE | EXISTS V0: P_v_p-{T}(V0)
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #5: input, references = 4, size of lhs = 0:
% 1.15/1.43 FALSE | EXISTS V0: P_v_pa-{T}(V0)
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #6: input, references = 4, size of lhs = 0:
% 1.15/1.43 FALSE | EXISTS V0: P_v_q-{T}(V0)
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #7: input, references = 5, size of lhs = 0:
% 1.15/1.43 FALSE | EXISTS V0: P_v_r-{T}(V0)
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #8: input, references = 6, size of lhs = 0:
% 1.15/1.43 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #9: input, references = 6, size of lhs = 2:
% 1.15/1.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_PropLog_Othms-{T}(V0,V1,V2)
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #10: input, references = 6, size of lhs = 0:
% 1.15/1.43 FALSE | EXISTS V0: P_v_H-{T}(V0)
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #11: input, references = 6, size of lhs = 1:
% 1.15/1.43 #-{F} V0 | EXISTS V1: P_tc_PropLog_Opl-{T}(V0,V1)
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 number of initial rules = 12
% 1.15/1.43
% 1.15/1.43 Simplifiers:
% 1.15/1.43 #12: unsound, references = 3, size of lhs = 3:
% 1.15/1.43 P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V1,V2,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #13: unsound, references = 3, size of lhs = 3:
% 1.15/1.43 P_v_p-{F}(V0), P_v_p-{F}(V1), V0 == V1 | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #14: unsound, references = 3, size of lhs = 3:
% 1.15/1.43 P_v_pa-{F}(V0), P_v_pa-{F}(V1), V0 == V1 | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #15: unsound, references = 3, size of lhs = 3:
% 1.15/1.43 P_v_q-{F}(V0), P_v_q-{F}(V1), V0 == V1 | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #16: unsound, references = 3, size of lhs = 3:
% 1.15/1.43 P_v_r-{F}(V0), P_v_r-{F}(V1), V0 == V1 | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #17: unsound, references = 3, size of lhs = 3:
% 1.15/1.43 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #18: unsound, references = 3, size of lhs = 3:
% 1.15/1.43 P_c_PropLog_Othms-{F}(V0,V1,V2), P_c_PropLog_Othms-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #19: unsound, references = 3, size of lhs = 3:
% 1.15/1.43 P_v_H-{F}(V0), P_v_H-{F}(V1), V0 == V1 | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #20: unsound, references = 3, size of lhs = 3:
% 1.15/1.43 P_tc_PropLog_Opl-{F}(V0,V1), P_tc_PropLog_Opl-{F}(V0,V3), V1 == V3 | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 number of simplifiers = 9
% 1.15/1.43
% 1.15/1.43 Learnt:
% 1.15/1.43 #50: mergings( V4 == V15, V15 == V26, V5 == V16, V9 == V20, V16 == V27, V20 == V31, V6 == V17, V7 == V18, V8 == V19, V10 == V21, V11 == V22, V17 == V28, V18 == V29, V19 == V30, V21 == V32, V22 == V33, V12 == V23, V13 == V24, V23 == V34, V24 == V35, V14 == V25, V25 == V36; #27 ), references = 1, size of lhs = 23:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_v_r-{F}(V3), P_t_a-{F}(V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V3,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V5,V4,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V2,V4,V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V3,V4,V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V7,V8,V4,V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V6,V9,V4,V10), P_v_H-{F}(V11), P_c_PropLog_Othms-{F}(V11,V4,V12), P_tc_PropLog_Opl-{F}(V4,V13), P_tc_PropLog_Opl-{F}(V14,V13), P_c_PropLog_Othms-{F}(V15,V14,V12), P_c_PropLog_Othms-{F}(V16,V4,V12), P_c_PropLog_Opl_Oop_A_N_62-{F}(V17,V18,V14,V10), P_c_PropLog_Opl_Oop_A_N_62-{F}(V19,V20,V14,V17), P_c_PropLog_Opl_Oop_A_N_62-{F}(V21,V22,V14,V20), P_c_PropLog_Opl_Oop_A_N_62-{F}(V19,V21,V14,V23), P_c_PropLog_Opl_Oop_A_N_62-{F}(V19,V22,V14,V24), P_c_PropLog_Opl_Oop_A_N_62-{F}(V23,V24,V14,V18) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #70: mergings( V4 == V8, V8 == V13, V5 == V9, V17 == V22, V9 == V14, V22 == V27, V6 == V10, V16 == V21, V18 == V23, V10 == V15, V21 == V26, V23 == V28, V7 == V11, V19 == V24, V11 == V29, V24 == V30, V20 == V25, V25 == V31; #51 ), references = 1, size of lhs = 20:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_v_r-{F}(V3), P_t_a-{F}(V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V3,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V5,V4,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V2,V4,V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V3,V4,V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V7,V8,V4,V9), P_v_H-{F}(V10), P_c_PropLog_Othms-{F}(V10,V4,V11), P_tc_PropLog_Opl-{F}(V4,V12), P_c_PropLog_Othms-{F}(V13,V4,V11), P_c_PropLog_Othms-{F}(V14,V4,V11), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V16,V4,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V17,V18,V4,V16), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V17,V4,V19), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V18,V4,V20), P_c_PropLog_Opl_Oop_A_N_62-{F}(V19,V20,V4,V9) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #86: mergings( V4 == V8, V8 == V13, V5 == V9, V9 == V14, V6 == V10, V16 == V20, V10 == V15, V20 == V23, V7 == V11, V18 == V21, V11 == V24, V21 == V25, V19 == V22, V22 == V26; #71 ), references = 2, size of lhs = 18:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_v_r-{F}(V3), P_t_a-{F}(V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V2,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V3,V4,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V3,V4,V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V7,V4,V8), P_v_H-{F}(V9), P_c_PropLog_Othms-{F}(V9,V4,V10), P_tc_PropLog_Opl-{F}(V4,V11), P_c_PropLog_Othms-{F}(V12,V4,V10), P_c_PropLog_Othms-{F}(V13,V4,V10), P_c_PropLog_Opl_Oop_A_N_62-{F}(V14,V15,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V14,V16,V4,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V16,V4,V17), P_c_PropLog_Opl_Oop_A_N_62-{F}(V14,V17,V4,V8) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #98: mergings( V4 == V7, V7 == V11, V5 == V8, V8 == V12, V6 == V9, V15 == V17, V9 == V19, V17 == V20, V16 == V18, V18 == V21; #87 ), references = 3, size of lhs = 16:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_v_r-{F}(V3), P_t_a-{F}(V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V3,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V2,V4,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V3,V4,V7), P_v_H-{F}(V8), P_c_PropLog_Othms-{F}(V8,V4,V9), P_tc_PropLog_Opl-{F}(V4,V10), P_c_PropLog_Othms-{F}(V11,V4,V9), P_c_PropLog_Othms-{F}(V12,V4,V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V13,V4,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V14,V4,V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V14,V4,V5) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #106: mergings( V3 == V4, V6 == V8, V4 == V10, V8 == V11, V7 == V9, V9 == V12; #99 ), references = 1, size of lhs = 10:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V1), P_v_r-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_c_PropLog_Othms-{F}(V3,V2,V4), P_tc_PropLog_Opl-{F}(V2,V5), P_c_PropLog_Othms-{F}(V6,V2,V4), P_c_PropLog_Othms-{F}(V7,V2,V4) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #110: mergings( V5 == V6, V6 == V7; #107 ), references = 1, size of lhs = 7:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V1), P_v_r-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3), P_tc_PropLog_Opl-{F}(V2,V4) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #112: exists( #11, #107 ), references = 1, size of lhs = 6:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V1), P_v_r-{F}(V1), P_t_a-{F}(V2), P_v_H-{F}(V3) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #114: exists( #10, #111 ), references = 1, size of lhs = 5:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V1), P_v_r-{F}(V1), P_t_a-{F}(V2) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #116: exists( #8, #113 ), references = 1, size of lhs = 4:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V1), P_v_r-{F}(V1) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #118: exists( #3, #98 ), references = 1, size of lhs = 11:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V1), P_v_r-{F}(V2), P_t_a-{F}(V3), P_v_H-{F}(V4), P_c_PropLog_Othms-{F}(V4,V3,V5), P_tc_PropLog_Opl-{F}(V3,V6), P_c_PropLog_Othms-{F}(V7,V3,V5), P_c_PropLog_Othms-{F}(V8,V3,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V1,V3,V9) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #120: exists( #9, #117 ), references = 1, size of lhs = 8:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V1), P_v_r-{F}(V2), P_t_a-{F}(V3), P_v_H-{F}(V4), P_tc_PropLog_Opl-{F}(V3,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V1,V3,V6) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #122: exists( #3, #119 ), references = 1, size of lhs = 7:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V1), P_v_r-{F}(V2), P_t_a-{F}(V3), P_v_H-{F}(V4), P_tc_PropLog_Opl-{F}(V3,V5) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #124: exists( #11, #121 ), references = 1, size of lhs = 6:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V1), P_v_r-{F}(V2), P_t_a-{F}(V3), P_v_H-{F}(V4) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #126: exists( #10, #123 ), references = 1, size of lhs = 5:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V1), P_v_r-{F}(V2), P_t_a-{F}(V3) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #128: exists( #8, #125 ), references = 1, size of lhs = 4:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V1), P_v_r-{F}(V2) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #130: exists( #7, #127 ), references = 1, size of lhs = 3:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V1) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #133: exists( #3, #98 ), references = 1, size of lhs = 14:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_v_r-{F}(V3), P_t_a-{F}(V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V3,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V3,V4,V6), P_v_H-{F}(V7), P_c_PropLog_Othms-{F}(V7,V4,V8), P_tc_PropLog_Opl-{F}(V4,V9), P_c_PropLog_Othms-{F}(V10,V4,V8), P_c_PropLog_Othms-{F}(V11,V4,V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V12,V4,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V12,V4,V5) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #134: exists( #3, #86 ), references = 1, size of lhs = 16:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_v_r-{F}(V3), P_t_a-{F}(V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V3,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V3,V4,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V6,V4,V7), P_v_H-{F}(V8), P_c_PropLog_Othms-{F}(V8,V4,V9), P_tc_PropLog_Opl-{F}(V4,V10), P_c_PropLog_Othms-{F}(V11,V4,V9), P_c_PropLog_Othms-{F}(V12,V4,V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V13,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V13,V4,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V14,V4,V7) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #136: exists( #3, #131 ), references = 1, size of lhs = 11:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_v_r-{F}(V3), P_t_a-{F}(V4), P_v_H-{F}(V5), P_c_PropLog_Othms-{F}(V5,V4,V6), P_tc_PropLog_Opl-{F}(V4,V7), P_c_PropLog_Othms-{F}(V8,V4,V6), P_c_PropLog_Othms-{F}(V9,V4,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V3,V4,V10) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #138: exists( #3, #135 ), references = 1, size of lhs = 10:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_v_r-{F}(V3), P_t_a-{F}(V4), P_v_H-{F}(V5), P_c_PropLog_Othms-{F}(V5,V4,V6), P_tc_PropLog_Opl-{F}(V4,V7), P_c_PropLog_Othms-{F}(V8,V4,V6), P_c_PropLog_Othms-{F}(V9,V4,V6) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #140: exists( #9, #137 ), references = 1, size of lhs = 7:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_v_r-{F}(V3), P_t_a-{F}(V4), P_v_H-{F}(V5), P_tc_PropLog_Opl-{F}(V4,V6) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #142: exists( #11, #139 ), references = 1, size of lhs = 6:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_v_r-{F}(V3), P_t_a-{F}(V4), P_v_H-{F}(V5) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #144: exists( #10, #141 ), references = 1, size of lhs = 5:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_v_r-{F}(V3), P_t_a-{F}(V4) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #146: exists( #8, #143 ), references = 1, size of lhs = 4:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_v_r-{F}(V3) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #148: exists( #7, #145 ), references = 1, size of lhs = 3:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #150: exists( #6, #147 ), references = 1, size of lhs = 2:
% 1.15/1.43 P_v_p-{F}(V0), P_v_pa-{F}(V1) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #152: exists( #5, #149 ), references = 1, size of lhs = 1:
% 1.15/1.43 P_v_p-{F}(V0) | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 #154: exists( #4, #151 ), references = 1, size of lhs = 0:
% 1.15/1.43 FALSE | FALSE
% 1.15/1.43 (used 0 times, uses = {})
% 1.15/1.43
% 1.15/1.43 number of learnt formulas = 28
% 1.15/1.43
% 1.15/1.43
% 1.15/1.43 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.15/1.43
% 1.15/1.43 randbase = 1
%------------------------------------------------------------------------------