%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL435-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 0.12s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL435-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.08/0.34 % Computer : n010.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 5 03:11:23 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.46 GeoParameters:
% 0.12/0.46
% 0.12/0.46 tptp_input = 1
% 0.12/0.46 tptp_output = 0
% 0.12/0.46 nonempty = 1
% 0.12/0.46 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.46 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.12/0.46
% 0.12/0.46
% 0.12/0.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.46 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.46
% 0.12/0.46 RuleSystem INPUT:
% 0.12/0.46
% 0.12/0.46 Initial Rules:
% 0.12/0.46 #0: input, references = 4, size of lhs = 11:
% 0.12/0.46 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_t_a-{F}(V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V1,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V4,V3,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V5,V3,V6), P_v_H-{F}(V7), P_c_PropLog_Othms-{F}(V7,V3,V8), P_tc_PropLog_Opl-{F}(V3,V9), c_in-{F}(V6,V8,V9) | FALSE
% 0.12/0.46 (used 0 times, uses = {})
% 0.12/0.46
% 0.12/0.46 #1: input, references = 4, size of lhs = 14:
% 0.12/0.46 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_t_a-{F}(V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V1,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V4,V3,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V5,V3,V6), P_v_H-{F}(V7), P_c_PropLog_Othms-{F}(V7,V3,V8), P_tc_PropLog_Opl-{F}(V3,V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V10,V12,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V10,V14,V12,V15), P_c_PropLog_Othms-{F}(V13,V12,V16), P_tc_PropLog_Opl-{F}(V12,V17) | c_in-{T}(V15,V16,V17)
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #2: input, references = 4, size of lhs = 14:
% 0.22/0.46 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_t_a-{F}(V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V1,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V4,V3,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V5,V3,V6), P_v_H-{F}(V7), P_c_PropLog_Othms-{F}(V7,V3,V8), P_tc_PropLog_Opl-{F}(V3,V9), P_c_PropLog_Othms-{F}(V12,V11,V13), P_tc_PropLog_Opl-{F}(V11,V14), c_in-{F}(V10,V13,V14), P_c_PropLog_Opl_Oop_A_N_62-{F}(V15,V10,V11,V16) | c_in-{T}(V16,V13,V14)
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #3: input, references = 6, size of lhs = 3:
% 0.22/0.46 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_PropLog_Opl_Oop_A_N_62-{T}(V0,V1,V2,V3)
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #4: input, references = 4, size of lhs = 0:
% 0.22/0.46 FALSE | EXISTS V0: P_v_p-{T}(V0)
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #5: input, references = 4, size of lhs = 0:
% 0.22/0.46 FALSE | EXISTS V0: P_v_pa-{T}(V0)
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #6: input, references = 4, size of lhs = 0:
% 0.22/0.46 FALSE | EXISTS V0: P_v_q-{T}(V0)
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #7: input, references = 4, size of lhs = 0:
% 0.22/0.46 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #8: input, references = 4, size of lhs = 2:
% 0.22/0.46 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_PropLog_Othms-{T}(V0,V1,V2)
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #9: input, references = 4, size of lhs = 0:
% 0.22/0.46 FALSE | EXISTS V0: P_v_H-{T}(V0)
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #10: input, references = 4, size of lhs = 1:
% 0.22/0.46 #-{F} V0 | EXISTS V1: P_tc_PropLog_Opl-{T}(V0,V1)
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 number of initial rules = 11
% 0.22/0.46
% 0.22/0.46 Simplifiers:
% 0.22/0.46 #11: unsound, references = 3, size of lhs = 3:
% 0.22/0.46 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
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #12: unsound, references = 3, size of lhs = 3:
% 0.22/0.46 P_v_p-{F}(V0), P_v_p-{F}(V1), V0 == V1 | FALSE
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #13: unsound, references = 3, size of lhs = 3:
% 0.22/0.46 P_v_pa-{F}(V0), P_v_pa-{F}(V1), V0 == V1 | FALSE
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #14: unsound, references = 3, size of lhs = 3:
% 0.22/0.46 P_v_q-{F}(V0), P_v_q-{F}(V1), V0 == V1 | FALSE
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #15: unsound, references = 3, size of lhs = 3:
% 0.22/0.46 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #16: unsound, references = 3, size of lhs = 3:
% 0.22/0.46 P_c_PropLog_Othms-{F}(V0,V1,V2), P_c_PropLog_Othms-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #17: unsound, references = 3, size of lhs = 3:
% 0.22/0.46 P_v_H-{F}(V0), P_v_H-{F}(V1), V0 == V1 | FALSE
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #18: unsound, references = 3, size of lhs = 3:
% 0.22/0.46 P_tc_PropLog_Opl-{F}(V0,V1), P_tc_PropLog_Opl-{F}(V0,V3), V1 == V3 | FALSE
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 number of simplifiers = 8
% 0.22/0.46
% 0.22/0.46 Learnt:
% 0.22/0.46 #36: mergings( V4 == V10, V10 == V16, V5 == V11, V6 == V12, V11 == V17, V12 == V18, V7 == V13, V8 == V14, V13 == V19, V14 == V20, V9 == V15, V15 == V21; #23 ), references = 1, size of lhs = 14:
% 0.22/0.46 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_t_a-{F}(V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V1,V3,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V4,V3,V5), P_v_H-{F}(V6), P_c_PropLog_Othms-{F}(V6,V3,V7), P_tc_PropLog_Opl-{F}(V3,V8), P_tc_PropLog_Opl-{F}(V9,V8), P_c_PropLog_Othms-{F}(V10,V9,V7), P_c_PropLog_Othms-{F}(V11,V3,V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V12,V13,V9,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V14,V12,V9,V13) | FALSE
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #46: mergings( V4 == V6, V6 == V9, V5 == V7, V10 == V12, V7 == V14, V12 == V15, V11 == V13, V13 == V16; #37 ), references = 1, size of lhs = 11:
% 0.22/0.46 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_t_a-{F}(V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V1,V3,V4), P_v_H-{F}(V5), P_c_PropLog_Othms-{F}(V5,V3,V6), P_tc_PropLog_Opl-{F}(V3,V7), P_c_PropLog_Othms-{F}(V8,V3,V6), P_c_PropLog_Othms-{F}(V9,V3,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V10,V1,V3,V4) | FALSE
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #54: mergings( V4 == V5, V7 == V9, V5 == V11, V9 == V12, V8 == V10, V10 == V13; #47 ), references = 1, size of lhs = 9:
% 0.22/0.46 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{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
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #58: mergings( V6 == V7, V7 == V8; #55 ), references = 1, size of lhs = 6:
% 0.22/0.46 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_t_a-{F}(V3), P_v_H-{F}(V4), P_tc_PropLog_Opl-{F}(V3,V5) | FALSE
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #60: exists( #10, #55 ), references = 1, size of lhs = 5:
% 0.22/0.46 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_t_a-{F}(V3), P_v_H-{F}(V4) | FALSE
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #62: exists( #9, #59 ), references = 1, size of lhs = 4:
% 0.22/0.46 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2), P_t_a-{F}(V3) | FALSE
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #64: exists( #7, #61 ), references = 1, size of lhs = 3:
% 0.22/0.46 P_v_p-{F}(V0), P_v_pa-{F}(V1), P_v_q-{F}(V2) | FALSE
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #66: exists( #6, #63 ), references = 1, size of lhs = 2:
% 0.22/0.46 P_v_p-{F}(V0), P_v_pa-{F}(V1) | FALSE
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #68: exists( #5, #65 ), references = 1, size of lhs = 1:
% 0.22/0.46 P_v_p-{F}(V0) | FALSE
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 #70: exists( #4, #67 ), references = 1, size of lhs = 0:
% 0.22/0.46 FALSE | FALSE
% 0.22/0.46 (used 0 times, uses = {})
% 0.22/0.46
% 0.22/0.46 number of learnt formulas = 10
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.46
% 0.22/0.46 randbase = 1
%------------------------------------------------------------------------------