%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL441-2 : 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 12:06:17 PM UTC 2026
% Result : Unsatisfiable 0.64s 0.94s
% Output : Refutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL441-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.17/0.43 % Computer : n027.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 5 08:08:13 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.64/0.94 GeoParameters:
% 0.64/0.94
% 0.64/0.94 tptp_input = 1
% 0.64/0.94 tptp_output = 0
% 0.64/0.94 nonempty = 1
% 0.64/0.94 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.64/0.94 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.64/0.94
% 0.64/0.94
% 0.64/0.94 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.64/0.94 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.64/0.94
% 0.64/0.94 RuleSystem INPUT:
% 0.64/0.94
% 0.64/0.94 Initial Rules:
% 0.64/0.94 #0: input, references = 5, size of lhs = 13:
% 0.64/0.94 P_v_a-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Ovar-{F}(V0,V1,V2), P_c_PropLog_Opl_Ofalse-{F}(V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V3,V1,V4), P_c_emptyset-{F}(V5), P_tc_PropLog_Opl-{F}(V1,V6), P_c_insert-{F}(V4,V5,V6,V7), P_c_PropLog_Othms-{F}(V7,V1,V8), P_c_insert-{F}(V2,V5,V6,V9), P_c_PropLog_Othms-{F}(V9,V1,V10), c_in-{F}(V4,V8,V6), c_in-{F}(V2,V10,V6) | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #1: input, references = 6, size of lhs = 14:
% 0.64/0.94 P_v_a-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Ovar-{F}(V0,V1,V2), P_c_PropLog_Opl_Ofalse-{F}(V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V3,V1,V4), P_c_emptyset-{F}(V5), P_tc_PropLog_Opl-{F}(V1,V6), P_c_insert-{F}(V4,V5,V6,V7), P_c_PropLog_Othms-{F}(V7,V1,V8), P_c_insert-{F}(V2,V5,V6,V9), P_c_PropLog_Othms-{F}(V9,V1,V10), P_tc_PropLog_Opl-{F}(V13,V14), P_c_PropLog_Othms-{F}(V12,V13,V15), c_in-{F}(V11,V12,V14) | c_in-{T}(V11,V15,V14)
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #2: input, references = 6, size of lhs = 12:
% 0.64/0.94 P_v_a-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Ovar-{F}(V0,V1,V2), P_c_PropLog_Opl_Ofalse-{F}(V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V3,V1,V4), P_c_emptyset-{F}(V5), P_tc_PropLog_Opl-{F}(V1,V6), P_c_insert-{F}(V4,V5,V6,V7), P_c_PropLog_Othms-{F}(V7,V1,V8), P_c_insert-{F}(V2,V5,V6,V9), P_c_PropLog_Othms-{F}(V9,V1,V10), P_c_insert-{F}(V12,V13,V11,V14) | c_in-{T}(V12,V14,V11)
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #3: input, references = 4, size of lhs = 3:
% 0.64/0.94 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_PropLog_Opl_Oop_A_N_62-{T}(V0,V1,V2,V3)
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #4: input, references = 4, size of lhs = 2:
% 0.64/0.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_PropLog_Opl_Ovar-{T}(V0,V1,V2)
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #5: input, references = 4, size of lhs = 0:
% 0.64/0.94 FALSE | EXISTS V0: P_v_a-{T}(V0)
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #6: input, references = 4, size of lhs = 0:
% 0.64/0.94 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #7: input, references = 4, size of lhs = 0:
% 0.64/0.94 FALSE | EXISTS V0: P_c_PropLog_Opl_Ofalse-{T}(V0)
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #8: input, references = 6, size of lhs = 2:
% 0.64/0.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_PropLog_Othms-{T}(V0,V1,V2)
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #9: input, references = 6, size of lhs = 3:
% 0.64/0.94 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_insert-{T}(V0,V1,V2,V3)
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #10: input, references = 4, size of lhs = 0:
% 0.64/0.94 FALSE | EXISTS V0: P_c_emptyset-{T}(V0)
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #11: input, references = 4, size of lhs = 1:
% 0.64/0.94 #-{F} V0 | EXISTS V1: P_tc_PropLog_Opl-{T}(V0,V1)
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 number of initial rules = 12
% 0.64/0.94
% 0.64/0.94 Simplifiers:
% 0.64/0.94 #12: unsound, references = 3, size of lhs = 3:
% 0.64/0.94 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
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #13: unsound, references = 3, size of lhs = 3:
% 0.64/0.94 P_c_PropLog_Opl_Ovar-{F}(V0,V1,V2), P_c_PropLog_Opl_Ovar-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #14: unsound, references = 3, size of lhs = 3:
% 0.64/0.94 P_v_a-{F}(V0), P_v_a-{F}(V1), V0 == V1 | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #15: unsound, references = 3, size of lhs = 3:
% 0.64/0.94 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #16: unsound, references = 3, size of lhs = 3:
% 0.64/0.94 P_c_PropLog_Opl_Ofalse-{F}(V0), P_c_PropLog_Opl_Ofalse-{F}(V1), V0 == V1 | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #17: unsound, references = 3, size of lhs = 3:
% 0.64/0.94 P_c_PropLog_Othms-{F}(V0,V1,V2), P_c_PropLog_Othms-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #18: unsound, references = 3, size of lhs = 3:
% 0.64/0.94 P_c_insert-{F}(V0,V1,V2,V3), P_c_insert-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #19: unsound, references = 3, size of lhs = 3:
% 0.64/0.94 P_c_emptyset-{F}(V0), P_c_emptyset-{F}(V1), V0 == V1 | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #20: unsound, references = 3, size of lhs = 3:
% 0.64/0.94 P_tc_PropLog_Opl-{F}(V0,V1), P_tc_PropLog_Opl-{F}(V0,V3), V1 == V3 | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 number of simplifiers = 9
% 0.64/0.94
% 0.64/0.94 Learnt:
% 0.64/0.94 #38: mergings( V3 == V9, V4 == V10, V9 == V15, V10 == V16, V5 == V11, V6 == V12, V11 == V17, V12 == V16, V7 == V13, V13 == V18, V8 == V14, V14 == V19; #25 ), references = 1, size of lhs = 9:
% 0.64/0.94 P_v_a-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Ovar-{F}(V0,V1,V2), P_c_PropLog_Opl_Ofalse-{F}(V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V3,V1,V2), P_c_emptyset-{F}(V4), P_tc_PropLog_Opl-{F}(V1,V5), P_c_insert-{F}(V2,V4,V5,V6), P_c_insert-{F}(V2,V7,V5,V6) | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #44: mergings( V4 == V6, V6 == V8, V5 == V7, V7 == V10; #39 ), references = 1, size of lhs = 7:
% 0.64/0.94 P_v_a-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Ovar-{F}(V0,V1,V2), P_c_PropLog_Opl_Ofalse-{F}(V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V3,V1,V2), P_c_emptyset-{F}(V4), P_tc_PropLog_Opl-{F}(V1,V5) | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #88: mergings( V3 == V11, V4 == V12, V11 == V19, V12 == V20, V19 == V27, V20 == V28, V27 == V35, V28 == V36, V5 == V13, V6 == V14, V13 == V21, V14 == V22, V21 == V29, V22 == V30, V29 == V37, V30 == V38, V7 == V15, V15 == V23, V23 == V31, V31 == V39, V8 == V16, V9 == V17, V10 == V18, V16 == V24, V17 == V25, V18 == V26, V24 == V32, V25 == V33, V26 == V34, V32 == V40, V33 == V42, V34 == V43; #55 ), references = 1, size of lhs = 14:
% 0.64/0.94 P_v_a-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Ovar-{F}(V0,V1,V2), P_c_PropLog_Opl_Ofalse-{F}(V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V3,V1,V4), P_c_emptyset-{F}(V5), P_tc_PropLog_Opl-{F}(V1,V6), P_c_insert-{F}(V4,V5,V6,V7), P_tc_PropLog_Opl-{F}(V8,V6), P_c_insert-{F}(V2,V5,V6,V9), P_c_PropLog_Othms-{F}(V9,V1,V10), P_c_insert-{F}(V4,V11,V6,V7), P_c_PropLog_Othms-{F}(V12,V8,V10), P_c_insert-{F}(V2,V13,V6,V12) | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #110: mergings( V4 == V6, V14 == V17, V6 == V8, V17 == V20, V8 == V10, V20 == V23, V10 == V12, V23 == V26, V5 == V7, V7 == V9, V9 == V11, V11 == V27, V15 == V18, V16 == V19, V18 == V21, V19 == V22, V21 == V24, V22 == V25, V24 == V29, V25 == V30; #89 ), references = 2, size of lhs = 12:
% 0.64/0.94 P_v_a-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Ovar-{F}(V0,V1,V2), P_c_PropLog_Opl_Ofalse-{F}(V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V3,V1,V4), P_c_emptyset-{F}(V5), P_tc_PropLog_Opl-{F}(V1,V6), P_tc_PropLog_Opl-{F}(V7,V6), P_c_insert-{F}(V2,V5,V6,V8), P_c_PropLog_Othms-{F}(V8,V1,V9), P_c_PropLog_Othms-{F}(V10,V7,V9), P_c_insert-{F}(V2,V11,V6,V10) | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #112: exists( #8, #110 ), references = 1, size of lhs = 9:
% 0.64/0.94 P_v_a-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Ovar-{F}(V0,V1,V2), P_c_PropLog_Opl_Ofalse-{F}(V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V3,V1,V4), P_c_emptyset-{F}(V5), P_tc_PropLog_Opl-{F}(V1,V6), P_c_insert-{F}(V2,V5,V6,V7), P_c_insert-{F}(V2,V8,V6,V7) | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #114: exists( #9, #111 ), references = 1, size of lhs = 7:
% 0.64/0.94 P_v_a-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Ovar-{F}(V0,V1,V2), P_c_PropLog_Opl_Ofalse-{F}(V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V2,V3,V1,V4), P_c_emptyset-{F}(V5), P_tc_PropLog_Opl-{F}(V1,V6) | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #116: exists( #3, #113 ), references = 1, size of lhs = 6:
% 0.64/0.94 P_v_a-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Ovar-{F}(V0,V1,V2), P_c_PropLog_Opl_Ofalse-{F}(V3), P_c_emptyset-{F}(V4), P_tc_PropLog_Opl-{F}(V1,V5) | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #118: exists( #4, #115 ), references = 1, size of lhs = 5:
% 0.64/0.94 P_v_a-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Ofalse-{F}(V2), P_c_emptyset-{F}(V3), P_tc_PropLog_Opl-{F}(V1,V4) | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #120: exists( #11, #117 ), references = 1, size of lhs = 4:
% 0.64/0.94 P_v_a-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Ofalse-{F}(V2), P_c_emptyset-{F}(V3) | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #122: exists( #10, #119 ), references = 1, size of lhs = 3:
% 0.64/0.94 P_v_a-{F}(V0), P_t_a-{F}(V1), P_c_PropLog_Opl_Ofalse-{F}(V2) | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #124: exists( #7, #121 ), references = 1, size of lhs = 2:
% 0.64/0.94 P_v_a-{F}(V0), P_t_a-{F}(V1) | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #126: exists( #6, #123 ), references = 1, size of lhs = 1:
% 0.64/0.94 P_v_a-{F}(V0) | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 #128: exists( #5, #125 ), references = 1, size of lhs = 0:
% 0.64/0.94 FALSE | FALSE
% 0.64/0.94 (used 0 times, uses = {})
% 0.64/0.94
% 0.64/0.94 number of learnt formulas = 13
% 0.64/0.94
% 0.64/0.94
% 0.64/0.94 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.64/0.94
% 0.64/0.94 randbase = 1
%------------------------------------------------------------------------------