%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL431-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 12:06:15 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL431-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.09/0.35 % Computer : n027.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 4 17:25:27 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.38 GeoParameters:
% 0.12/0.38
% 0.12/0.38 tptp_input = 1
% 0.12/0.38 tptp_output = 0
% 0.12/0.38 nonempty = 1
% 0.12/0.38 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38
% 0.12/0.38 RuleSystem INPUT:
% 0.12/0.38
% 0.12/0.38 Initial Rules:
% 0.12/0.38 #0: input, references = 4, size of lhs = 3:
% 0.12/0.38 P_c_emptyset-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2) | c_PropLog_Osat-{T}(V0,V1,V2)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #1: input, references = 4, size of lhs = 6:
% 0.12/0.38 P_c_emptyset-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V0,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), c_in-{F}(V1,V3,V4) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #2: input, references = 4, size of lhs = 12:
% 0.12/0.38 P_c_emptyset-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V0,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V6,V7), P_tc_set-{F}(V7,V8), c_PropLog_Osat-{F}(V0,V5,V6), P_c_PropLog_Ohyps-{F}(V5,V10,V6,V11), P_c_PropLog_Ohyps-{F}(V5,V9,V6,V12), P_c_minus-{F}(V11,V12,V8,V13), P_c_PropLog_Othms-{F}(V13,V6,V14) | c_in-{T}(V5,V14,V7)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #3: input, references = 4, size of lhs = 8:
% 0.12/0.38 P_c_emptyset-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V0,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_set-{F}(V5,V7), P_c_minus-{F}(V6,V6,V7,V8), V8 == V0 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #4: input, references = 4, size of lhs = 0:
% 0.12/0.38 FALSE | EXISTS V0: P_c_emptyset-{T}(V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #5: input, references = 4, size of lhs = 0:
% 0.12/0.38 FALSE | EXISTS V0: P_v_p-{T}(V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #6: input, references = 4, size of lhs = 0:
% 0.12/0.38 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #7: input, references = 5, size of lhs = 2:
% 0.12/0.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_PropLog_Othms-{T}(V0,V1,V2)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #8: input, references = 5, size of lhs = 1:
% 0.12/0.38 #-{F} V0 | EXISTS V1: P_tc_PropLog_Opl-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #9: input, references = 4, size of lhs = 3:
% 0.12/0.38 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_minus-{T}(V0,V1,V2,V3)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #10: input, references = 4, size of lhs = 3:
% 0.12/0.38 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_PropLog_Ohyps-{T}(V0,V1,V2,V3)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #11: input, references = 4, size of lhs = 1:
% 0.12/0.38 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 number of initial rules = 12
% 0.12/0.38
% 0.12/0.38 Simplifiers:
% 0.12/0.38 #12: unsound, references = 3, size of lhs = 3:
% 0.12/0.38 c_PropLog_Osat-{F}(V0,V1,V2), c_PropLog_Osat-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #13: unsound, references = 3, size of lhs = 3:
% 0.12/0.38 c_PropLog_Osat-{F}(V0,V1,V2), c_PropLog_Osat-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #14: unsound, references = 3, size of lhs = 3:
% 0.12/0.38 c_PropLog_Osat-{F}(V0,V1,V2), c_PropLog_Osat-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #15: unsound, references = 3, size of lhs = 3:
% 0.12/0.38 c_in-{F}(V0,V1,V2), c_in-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #16: unsound, references = 3, size of lhs = 3:
% 0.12/0.38 P_c_emptyset-{F}(V0), P_c_emptyset-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #17: unsound, references = 3, size of lhs = 3:
% 0.12/0.38 P_v_p-{F}(V0), P_v_p-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #18: unsound, references = 3, size of lhs = 3:
% 0.12/0.38 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #19: unsound, references = 3, size of lhs = 3:
% 0.12/0.38 P_c_PropLog_Othms-{F}(V0,V1,V2), P_c_PropLog_Othms-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #20: unsound, references = 3, size of lhs = 3:
% 0.12/0.38 P_tc_PropLog_Opl-{F}(V0,V1), P_tc_PropLog_Opl-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #21: unsound, references = 3, size of lhs = 3:
% 0.12/0.38 P_c_minus-{F}(V0,V1,V2,V3), P_c_minus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #22: unsound, references = 3, size of lhs = 3:
% 0.12/0.38 P_c_PropLog_Ohyps-{F}(V0,V1,V2,V3), P_c_PropLog_Ohyps-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #23: unsound, references = 3, size of lhs = 3:
% 0.12/0.38 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 number of simplifiers = 12
% 0.12/0.38
% 0.12/0.38 Learnt:
% 0.12/0.38 #25: exists( #7, #3 ), references = 1, size of lhs = 7:
% 0.12/0.38 P_c_emptyset-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_tc_set-{F}(V4,V5), P_c_minus-{F}(V6,V6,V5,V7), V7 == V0 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #27: exists( #8, #24 ), references = 1, size of lhs = 6:
% 0.12/0.38 P_c_emptyset-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V3,V4), P_c_minus-{F}(V5,V5,V4,V6), V6 == V0 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #29: exists( #9, #26 ), references = 2, size of lhs = 5:
% 0.12/0.38 P_c_emptyset-{F}(V0), P_v_p-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V3,V4), #-{F} V5 | P_c_minus-{T}(V5,V5,V4,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #44: mergings( V4 == V7, V7 == V12, V5 == V8, V8 == V0, V6 == V9, V9 == V16, V10 == V17, V11 == V13; #35 ), references = 1, size of lhs = 10:
% 0.12/0.38 P_c_emptyset-{F}(V0), P_v_p-{F}(V1), c_PropLog_Osat-{F}(V0,V1,V2), P_tc_PropLog_Opl-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_t_a-{F}(V6), P_tc_PropLog_Opl-{F}(V6,V3), P_c_PropLog_Othms-{F}(V0,V6,V7), P_c_PropLog_Othms-{F}(V0,V2,V7) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #50: mergings( V3 == V5, V5 == V7, V4 == V1, V6 == V8; #45 ), references = 1, size of lhs = 7:
% 0.12/0.38 P_c_emptyset-{F}(V0), P_v_p-{F}(V1), c_PropLog_Osat-{F}(V0,V1,V2), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #56: mergings( V2 == V4, V4 == V6, V3 == V7, V8 == V0; #51 ), references = 1, size of lhs = 5:
% 0.12/0.38 P_c_emptyset-{F}(V0), P_v_p-{F}(V1), c_PropLog_Osat-{F}(V0,V1,V2), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #61: mergings( V2 == V4, V4 == V6, V3 == V0; #57 ), references = 1, size of lhs = 4:
% 0.12/0.38 P_c_emptyset-{F}(V0), P_v_p-{F}(V1), c_PropLog_Osat-{F}(V0,V1,V2), P_t_a-{F}(V2) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #66: mergings( V1 == V2, V2 == V4; #63 ), references = 1, size of lhs = 2:
% 0.12/0.38 P_c_emptyset-{F}(V0), P_v_p-{F}(V1) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #68: exists( #5, #63 ), references = 1, size of lhs = 1:
% 0.12/0.38 P_c_emptyset-{F}(V0) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #70: exists( #4, #67 ), references = 1, size of lhs = 0:
% 0.12/0.38 FALSE | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 number of learnt formulas = 10
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38
% 0.12/0.38 randbase = 1
%------------------------------------------------------------------------------