%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL447-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 12:06:18 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.43s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL447-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.07/0.34 % Computer : n009.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Fri Sep 4 23:18:21 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.13/0.43 GeoParameters:
% 0.13/0.43
% 0.13/0.43 tptp_input = 1
% 0.13/0.43 tptp_output = 0
% 0.13/0.43 nonempty = 1
% 0.13/0.43 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.43 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.13/0.43
% 0.13/0.43
% 0.13/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.43 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.43
% 0.13/0.43 RuleSystem INPUT:
% 0.13/0.43
% 0.13/0.43 Initial Rules:
% 0.13/0.43 #0: input, references = 4, size of lhs = 5:
% 0.13/0.43 P_v_q-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4) | c_in-{T}(V0,V3,V4)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #1: input, references = 4, size of lhs = 8:
% 0.13/0.43 P_v_q-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_v_p-{F}(V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V5,V0,V2,V6), c_in-{F}(V6,V3,V4) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #2: input, references = 4, size of lhs = 11:
% 0.13/0.43 P_v_q-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_v_p-{F}(V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V5,V0,V2,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V8,V7,V9,V11), P_c_PropLog_Opl_Oop_A_N_62-{F}(V7,V11,V9,V12), P_c_PropLog_Othms-{F}(V10,V9,V13), P_tc_PropLog_Opl-{F}(V9,V14) | c_in-{T}(V12,V13,V14)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #3: input, references = 4, size of lhs = 12:
% 0.13/0.43 P_v_q-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_v_p-{F}(V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V5,V0,V2,V6), P_c_PropLog_Othms-{F}(V9,V8,V10), P_tc_PropLog_Opl-{F}(V8,V11), P_c_PropLog_Opl_Oop_A_N_62-{F}(V12,V7,V8,V13), c_in-{F}(V12,V10,V11), c_in-{F}(V13,V10,V11) | c_in-{T}(V7,V10,V11)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #4: input, references = 4, size of lhs = 0:
% 0.13/0.43 FALSE | EXISTS V0: P_v_q-{T}(V0)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #5: input, references = 4, size of lhs = 2:
% 0.13/0.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_PropLog_Othms-{T}(V0,V1,V2)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #6: input, references = 4, size of lhs = 0:
% 0.13/0.43 FALSE | EXISTS V0: P_v_H-{T}(V0)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #7: input, references = 4, size of lhs = 0:
% 0.13/0.43 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #8: input, references = 4, size of lhs = 1:
% 0.13/0.43 #-{F} V0 | EXISTS V1: P_tc_PropLog_Opl-{T}(V0,V1)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #9: input, references = 5, size of lhs = 3:
% 0.13/0.43 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_PropLog_Opl_Oop_A_N_62-{T}(V0,V1,V2,V3)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #10: input, references = 4, size of lhs = 0:
% 0.13/0.43 FALSE | EXISTS V0: P_v_p-{T}(V0)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 number of initial rules = 11
% 0.13/0.43
% 0.13/0.43 Simplifiers:
% 0.13/0.43 #11: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 P_v_q-{F}(V0), P_v_q-{F}(V1), V0 == V1 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #12: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 P_c_PropLog_Othms-{F}(V0,V1,V2), P_c_PropLog_Othms-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #13: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 P_v_H-{F}(V0), P_v_H-{F}(V1), V0 == V1 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #14: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #15: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 P_tc_PropLog_Opl-{F}(V0,V1), P_tc_PropLog_Opl-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #16: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 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
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #17: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 P_v_p-{F}(V0), P_v_p-{F}(V1), V0 == V1 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 number of simplifiers = 7
% 0.13/0.43
% 0.13/0.43 Learnt:
% 0.13/0.43 #38: mergings( V4 == V11, V11 == V18, V5 == V12, V12 == V19, V6 == V13, V7 == V14, V13 == V20, V14 == V21, V8 == V15, V15 == V22, V9 == V16, V10 == V17, V16 == V25, V17 == V1; #23 ), references = 1, size of lhs = 12:
% 0.13/0.43 P_v_q-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V6,V5,V3), P_c_PropLog_Othms-{F}(V7,V5,V3), c_in-{F}(V8,V3,V4), P_v_p-{F}(V9), P_c_PropLog_Opl_Oop_A_N_62-{F}(V9,V0,V2,V10), P_c_PropLog_Opl_Oop_A_N_62-{F}(V11,V8,V5,V10) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #46: mergings( V4 == V7, V5 == V8, V7 == V10, V8 == V11, V6 == V9, V9 == V12; #39 ), references = 1, size of lhs = 9:
% 0.13/0.43 P_v_q-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), c_in-{F}(V0,V3,V4), P_c_PropLog_Othms-{F}(V5,V2,V3), P_c_PropLog_Othms-{F}(V6,V2,V3), P_v_p-{F}(V7) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #51: mergings( V3 == V5, V5 == V6; #48 ), references = 1, size of lhs = 5:
% 0.13/0.43 P_v_q-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_v_p-{F}(V4) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #53: exists( #8, #48 ), references = 1, size of lhs = 4:
% 0.13/0.43 P_v_q-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_v_p-{F}(V3) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #55: exists( #10, #52 ), references = 1, size of lhs = 3:
% 0.13/0.43 P_v_q-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #57: exists( #7, #54 ), references = 1, size of lhs = 2:
% 0.13/0.43 P_v_q-{F}(V0), P_v_H-{F}(V1) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #59: exists( #6, #56 ), references = 1, size of lhs = 1:
% 0.13/0.43 P_v_q-{F}(V0) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #61: exists( #4, #58 ), references = 1, size of lhs = 0:
% 0.13/0.43 FALSE | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 number of learnt formulas = 8
% 0.13/0.43
% 0.13/0.43
% 0.13/0.43 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.43
% 0.13/0.43 randbase = 1
%------------------------------------------------------------------------------