%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL440-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n031.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 12:06:17 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL440-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.09/0.35 % Computer : n031.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 15:52:54 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 GeoParameters:
% 0.13/0.37
% 0.13/0.37 tptp_input = 1
% 0.13/0.37 tptp_output = 0
% 0.13/0.37 nonempty = 1
% 0.13/0.37 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37
% 0.13/0.37 RuleSystem INPUT:
% 0.13/0.37
% 0.13/0.37 Initial Rules:
% 0.13/0.37 #0: input, references = 4, size of lhs = 7:
% 0.13/0.37 P_c_PropLog_Opl_Ofalse-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V0,V1,V2), P_c_emptyset-{F}(V3), P_c_PropLog_Othms-{F}(V3,V1,V4), P_tc_PropLog_Opl-{F}(V1,V5), c_in-{F}(V2,V4,V5) | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #1: input, references = 4, size of lhs = 9:
% 0.13/0.37 P_c_PropLog_Opl_Ofalse-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V0,V1,V2), P_c_emptyset-{F}(V3), P_c_PropLog_Othms-{F}(V3,V1,V4), P_tc_PropLog_Opl-{F}(V1,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V6,V6,V7,V9), P_c_PropLog_Othms-{F}(V8,V7,V10), P_tc_PropLog_Opl-{F}(V7,V11) | c_in-{T}(V9,V10,V11)
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #2: input, references = 4, size of lhs = 3:
% 0.13/0.37 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_PropLog_Opl_Oop_A_N_62-{T}(V0,V1,V2,V3)
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #3: input, references = 4, size of lhs = 0:
% 0.13/0.37 FALSE | EXISTS V0: P_c_PropLog_Opl_Ofalse-{T}(V0)
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #4: input, references = 4, size of lhs = 0:
% 0.13/0.37 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #5: input, references = 4, size of lhs = 2:
% 0.13/0.37 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_PropLog_Othms-{T}(V0,V1,V2)
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #6: input, references = 4, size of lhs = 0:
% 0.13/0.37 FALSE | EXISTS V0: P_c_emptyset-{T}(V0)
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #7: input, references = 4, size of lhs = 1:
% 0.13/0.37 #-{F} V0 | EXISTS V1: P_tc_PropLog_Opl-{T}(V0,V1)
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 number of initial rules = 8
% 0.13/0.37
% 0.13/0.37 Simplifiers:
% 0.13/0.37 #8: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 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
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #9: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 P_c_PropLog_Opl_Ofalse-{F}(V0), P_c_PropLog_Opl_Ofalse-{F}(V1), V0 == V1 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #10: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #11: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 P_c_PropLog_Othms-{F}(V0,V1,V2), P_c_PropLog_Othms-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #12: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 P_c_emptyset-{F}(V0), P_c_emptyset-{F}(V1), V0 == V1 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #13: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 P_tc_PropLog_Opl-{F}(V0,V1), P_tc_PropLog_Opl-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 number of simplifiers = 6
% 0.13/0.37
% 0.13/0.37 Learnt:
% 0.13/0.37 #19: mergings( V3 == V6, V4 == V7, V5 == V8; #15 ), references = 1, size of lhs = 6:
% 0.13/0.37 P_c_PropLog_Opl_Ofalse-{F}(V0), P_t_a-{F}(V1), P_c_emptyset-{F}(V2), P_c_PropLog_Othms-{F}(V2,V1,V3), P_tc_PropLog_Opl-{F}(V1,V4), P_c_PropLog_Othms-{F}(V5,V1,V3) | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #22: mergings( V4 == V5; #20 ), references = 1, size of lhs = 4:
% 0.13/0.37 P_c_PropLog_Opl_Ofalse-{F}(V0), P_t_a-{F}(V1), P_c_emptyset-{F}(V2), P_tc_PropLog_Opl-{F}(V1,V3) | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #24: exists( #7, #20 ), references = 1, size of lhs = 3:
% 0.13/0.37 P_c_PropLog_Opl_Ofalse-{F}(V0), P_t_a-{F}(V1), P_c_emptyset-{F}(V2) | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #26: exists( #6, #23 ), references = 1, size of lhs = 2:
% 0.13/0.37 P_c_PropLog_Opl_Ofalse-{F}(V0), P_t_a-{F}(V1) | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #28: exists( #4, #25 ), references = 1, size of lhs = 1:
% 0.13/0.37 P_c_PropLog_Opl_Ofalse-{F}(V0) | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #30: exists( #3, #27 ), references = 1, size of lhs = 0:
% 0.13/0.37 FALSE | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 number of learnt formulas = 6
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37
% 0.13/0.37 randbase = 1
%------------------------------------------------------------------------------