%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL437-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 0.46s 0.71s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL437-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 4 16:03:25 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.46/0.71 GeoParameters:
% 0.46/0.71
% 0.46/0.71 tptp_input = 1
% 0.46/0.71 tptp_output = 0
% 0.46/0.71 nonempty = 1
% 0.46/0.71 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.71 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.46/0.71
% 0.46/0.71
% 0.46/0.71 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.71 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.71
% 0.46/0.71 RuleSystem INPUT:
% 0.46/0.71
% 0.46/0.71 Initial Rules:
% 0.46/0.71 #0: input, references = 4, size of lhs = 12:
% 0.46/0.71 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_c_PropLog_Opl_Ofalse-{F}(V2), P_t_a-{F}(V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V2,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V4,V2,V3,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V5,V1,V3,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V6,V3,V7), P_v_H-{F}(V8), P_c_PropLog_Othms-{F}(V8,V3,V9), P_tc_PropLog_Opl-{F}(V3,V10), c_in-{F}(V7,V9,V10) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #1: input, references = 4, size of lhs = 16:
% 0.46/0.71 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_c_PropLog_Opl_Ofalse-{F}(V2), P_t_a-{F}(V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V2,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V4,V2,V3,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V5,V1,V3,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V6,V3,V7), P_v_H-{F}(V8), P_c_PropLog_Othms-{F}(V8,V3,V9), P_tc_PropLog_Opl-{F}(V3,V10), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V2,V12,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V14,V2,V12,V15), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V11,V12,V16), P_c_PropLog_Othms-{F}(V13,V12,V17), P_tc_PropLog_Opl-{F}(V12,V18) | c_in-{T}(V16,V17,V18)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #2: input, references = 4, size of lhs = 15:
% 0.46/0.71 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_c_PropLog_Opl_Ofalse-{F}(V2), P_t_a-{F}(V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V2,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V4,V2,V3,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V5,V1,V3,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V6,V3,V7), P_v_H-{F}(V8), P_c_PropLog_Othms-{F}(V8,V3,V9), P_tc_PropLog_Opl-{F}(V3,V10), P_c_PropLog_Othms-{F}(V12,V11,V14), P_tc_PropLog_Opl-{F}(V11,V15), c_in-{F}(V13,V14,V15), P_c_PropLog_Opl_Oop_A_N_62-{F}(V16,V13,V11,V17) | c_in-{T}(V17,V14,V15)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #3: input, references = 7, size of lhs = 3:
% 0.46/0.71 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_PropLog_Opl_Oop_A_N_62-{T}(V0,V1,V2,V3)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #4: input, references = 4, size of lhs = 0:
% 0.46/0.71 FALSE | EXISTS V0: P_v_p-{T}(V0)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #5: input, references = 4, size of lhs = 0:
% 0.46/0.71 FALSE | EXISTS V0: P_v_pa-{T}(V0)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #6: input, references = 4, size of lhs = 0:
% 0.46/0.71 FALSE | EXISTS V0: P_c_PropLog_Opl_Ofalse-{T}(V0)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #7: input, references = 4, size of lhs = 0:
% 0.46/0.71 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #8: input, references = 4, size of lhs = 2:
% 0.46/0.71 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_PropLog_Othms-{T}(V0,V1,V2)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #9: input, references = 4, size of lhs = 0:
% 0.46/0.71 FALSE | EXISTS V0: P_v_H-{T}(V0)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #10: input, references = 4, size of lhs = 1:
% 0.46/0.71 #-{F} V0 | EXISTS V1: P_tc_PropLog_Opl-{T}(V0,V1)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 number of initial rules = 11
% 0.46/0.71
% 0.46/0.71 Simplifiers:
% 0.46/0.71 #11: unsound, references = 3, size of lhs = 3:
% 0.46/0.71 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
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #12: unsound, references = 3, size of lhs = 3:
% 0.46/0.71 P_v_p-{F}(V0), P_v_p-{F}(V1), V0 == V1 | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #13: unsound, references = 3, size of lhs = 3:
% 0.46/0.71 P_v_pa-{F}(V0), P_v_pa-{F}(V1), V0 == V1 | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #14: unsound, references = 3, size of lhs = 3:
% 0.46/0.71 P_c_PropLog_Opl_Ofalse-{F}(V0), P_c_PropLog_Opl_Ofalse-{F}(V1), V0 == V1 | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #15: unsound, references = 3, size of lhs = 3:
% 0.46/0.71 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #16: unsound, references = 3, size of lhs = 3:
% 0.46/0.71 P_c_PropLog_Othms-{F}(V0,V1,V2), P_c_PropLog_Othms-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #17: unsound, references = 3, size of lhs = 3:
% 0.46/0.71 P_v_H-{F}(V0), P_v_H-{F}(V1), V0 == V1 | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #18: unsound, references = 3, size of lhs = 3:
% 0.46/0.71 P_tc_PropLog_Opl-{F}(V0,V1), P_tc_PropLog_Opl-{F}(V0,V3), V1 == V3 | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 number of simplifiers = 8
% 0.46/0.71
% 0.46/0.71 Learnt:
% 0.46/0.71 #40: mergings( V4 == V11, V11 == V18, V5 == V12, V6 == V13, V7 == V14, V12 == V19, V13 == V20, V14 == V21, V8 == V15, V9 == V16, V15 == V22, V16 == V23, V10 == V17, V17 == V24; #25 ), references = 1, size of lhs = 16:
% 0.46/0.71 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_c_PropLog_Opl_Ofalse-{F}(V2), P_t_a-{F}(V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V2,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V4,V2,V3,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V5,V1,V3,V6), P_v_H-{F}(V7), P_c_PropLog_Othms-{F}(V7,V3,V8), P_tc_PropLog_Opl-{F}(V3,V9), P_tc_PropLog_Opl-{F}(V10,V9), P_c_PropLog_Othms-{F}(V11,V10,V8), P_c_PropLog_Othms-{F}(V12,V3,V8), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V2,V10,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V14,V2,V10,V15), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V13,V10,V6) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #53: mergings( V10 == V22, V4 == V6, V13 == V22, V6 == V9, V16 == V22, V5 == V7, V11 == V14, V7 == V17, V14 == V18, V12 == V15, V15 == V19; #41 ), references = 1, size of lhs = 11:
% 0.46/0.71 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_c_PropLog_Opl_Ofalse-{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,V2,V3,V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V9,V2,V3,V10) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #61: mergings( V4 == V5, V8 == V10, V5 == V12, V10 == V13, V9 == V11, V11 == V14; #54 ), references = 1, size of lhs = 10:
% 0.46/0.71 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_c_PropLog_Opl_Ofalse-{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,V2,V3,V9) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #69: mergings( V4 == V5, V7 == V9, V5 == V11, V9 == V12, V8 == V10, V10 == V13; #62 ), references = 1, size of lhs = 9:
% 0.46/0.71 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_c_PropLog_Opl_Ofalse-{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) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #73: mergings( V6 == V7, V7 == V8; #70 ), references = 1, size of lhs = 6:
% 0.46/0.71 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_c_PropLog_Opl_Ofalse-{F}(V2), P_t_a-{F}(V3), P_v_H-{F}(V4), P_tc_PropLog_Opl-{F}(V3,V5) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #75: exists( #10, #70 ), references = 1, size of lhs = 5:
% 0.46/0.71 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_c_PropLog_Opl_Ofalse-{F}(V2), P_t_a-{F}(V3), P_v_H-{F}(V4) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #77: exists( #9, #74 ), references = 1, size of lhs = 4:
% 0.46/0.71 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_c_PropLog_Opl_Ofalse-{F}(V2), P_t_a-{F}(V3) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #79: exists( #7, #76 ), references = 1, size of lhs = 3:
% 0.46/0.71 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_c_PropLog_Opl_Ofalse-{F}(V2) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #81: exists( #6, #78 ), references = 1, size of lhs = 2:
% 0.46/0.71 P_v_p-{F}(V0), P_v_pa-{F}(V1) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #83: exists( #5, #80 ), references = 1, size of lhs = 1:
% 0.46/0.71 P_v_p-{F}(V0) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #85: exists( #4, #82 ), references = 1, size of lhs = 0:
% 0.46/0.71 FALSE | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 number of learnt formulas = 11
% 0.46/0.71
% 0.46/0.71
% 0.46/0.71 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.71
% 0.46/0.71 randbase = 1
%------------------------------------------------------------------------------