TSTP Solution File: COM012+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM012+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 05:59:17 EDT 2022
% Result : Theorem 0.12s 0.36s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COM012+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 17:02:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36 GeoParameters:
% 0.12/0.36
% 0.12/0.36 tptp_input = 1
% 0.12/0.36 tptp_output = 0
% 0.12/0.36 nonempty = 1
% 0.12/0.36 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36
% 0.12/0.36 RuleSystem INPUT:
% 0.12/0.36
% 0.12/0.36 Initial Rules:
% 0.12/0.36 #0: input, references = 3, size of lhs = 3:
% 0.12/0.36 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aReductOfIn0-{F}(V2,V1,V0) | aElement0-{T}(V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #1: input, references = 3, size of lhs = 4:
% 0.12/0.36 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V1,V0) | pppp0-{T}(V2,V1,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #2: input, references = 3, size of lhs = 4:
% 0.12/0.36 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V1,V0) | sdtmndtplgtdt0-{T}(V2,V1,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #3: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp0-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V0,V1), pppp3-{T}(V0,V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #4: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp3-{F}(V0,V1,V2) | EXISTS V3: pppp2-{T}(V0,V1,V2,V3)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #5: input, references = 3, size of lhs = 1:
% 0.12/0.36 aReductOfIn0-{F}(V2,V0,V1) | pppp0-{T}(V0,V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #6: input, references = 3, size of lhs = 3:
% 0.12/0.36 aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V1), sdtmndtplgtdt0-{F}(V3,V1,V2) | pppp0-{T}(V0,V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #7: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp2-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V3,V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #8: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp2-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #9: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp2-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #10: input, references = 4, size of lhs = 6:
% 0.12/0.36 aElement0-{F}(V0), aElement0-{F}(V1), aRewritingSystem0-{F}(V2), sdtmndtplgtdt0-{F}(V1,V2,V0), aElement0-{F}(V3), sdtmndtplgtdt0-{F}(V3,V2,V1) | sdtmndtplgtdt0-{T}(V3,V2,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #11: input, references = 5, size of lhs = 4:
% 0.12/0.36 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0) | pppp1-{T}(V2,V1,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #12: input, references = 4, size of lhs = 4:
% 0.12/0.36 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp1-{F}(V2,V1,V0) | sdtmndtasgtdt0-{T}(V2,V1,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #13: input, references = 5, size of lhs = 2:
% 0.12/0.36 pppp1-{F}(V0,V1,V2), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #14: input, references = 3, size of lhs = 2:
% 0.12/0.36 #-{F} V2, #-{F} V1 | pppp1-{T}(V2,V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #15: input, references = 4, size of lhs = 1:
% 0.12/0.36 sdtmndtplgtdt0-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #16: input, references = 4, size of lhs = 4:
% 0.12/0.36 P_xx-{F}(V0), P_xR-{F}(V1), P_xy-{F}(V2), P_xz-{F}(V3) | aElement0-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #17: input, references = 4, size of lhs = 4:
% 0.12/0.36 P_xx-{F}(V0), P_xR-{F}(V1), P_xy-{F}(V2), P_xz-{F}(V3) | aRewritingSystem0-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #18: input, references = 4, size of lhs = 4:
% 0.12/0.36 P_xx-{F}(V0), P_xR-{F}(V1), P_xy-{F}(V2), P_xz-{F}(V3) | aElement0-{T}(V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #19: input, references = 4, size of lhs = 4:
% 0.12/0.36 P_xx-{F}(V0), P_xR-{F}(V1), P_xy-{F}(V2), P_xz-{F}(V3) | aElement0-{T}(V3)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #20: input, references = 5, size of lhs = 4:
% 0.12/0.36 P_xx-{F}(V0), P_xR-{F}(V1), P_xy-{F}(V2), P_xz-{F}(V3) | sdtmndtasgtdt0-{T}(V0,V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #21: input, references = 5, size of lhs = 4:
% 0.12/0.36 P_xx-{F}(V0), P_xR-{F}(V1), P_xy-{F}(V2), P_xz-{F}(V3) | sdtmndtasgtdt0-{T}(V2,V1,V3)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #22: input, references = 6, size of lhs = 5:
% 0.12/0.36 P_xx-{F}(V0), P_xR-{F}(V1), P_xy-{F}(V2), P_xz-{F}(V3), sdtmndtasgtdt0-{F}(V0,V1,V3) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #23: input, references = 4, size of lhs = 0:
% 0.12/0.36 FALSE | EXISTS V0: P_xx-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #24: input, references = 4, size of lhs = 0:
% 0.12/0.36 FALSE | EXISTS V0: P_xR-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #25: input, references = 4, size of lhs = 0:
% 0.12/0.36 FALSE | EXISTS V0: P_xy-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #26: input, references = 5, size of lhs = 0:
% 0.12/0.36 FALSE | EXISTS V0: P_xz-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 number of initial rules = 27
% 0.12/0.36
% 0.12/0.36 Simplifiers:
% 0.12/0.36 #27: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 aRewritingSystem0-{F}(V0), aRewritingSystem0-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #28: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 aReductOfIn0-{F}(V0,V1,V2), aReductOfIn0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #29: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 sdtmndtasgtdt0-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #30: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #31: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_xx-{F}(V0), P_xx-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #32: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_xR-{F}(V0), P_xR-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #33: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_xy-{F}(V0), P_xy-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #34: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_xz-{F}(V0), P_xz-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #35: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #36: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #37: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 number of simplifiers = 11
% 0.12/0.36
% 0.12/0.36 Learnt:
% 0.12/0.36 #64: mergings( V3 == V5, V5 == V7, V7 == V10, V10 == V13, V1 == V6, V6 == V8, V8 == V12, V2 == V4, V4 == V9, V9 == V11, V11 == V14; #52 ), references = 1, size of lhs = 4:
% 0.12/0.36 P_xR-{F}(V0), P_xx-{F}(V1), P_xy-{F}(V2), V1 == V2 | P_xz-{T}(V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #77: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V10, V1 == V4, V4 == V6, V6 == V8, V8 == V11; #67 ), references = 1, size of lhs = 2:
% 0.12/0.36 P_xx-{F}(V0), P_xR-{F}(V1) | P_xy-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #82: mergings( V1 == V2, V2 == V4; #79 ), references = 1, size of lhs = 3:
% 0.12/0.36 P_xx-{F}(V0), P_xy-{F}(V0), P_xR-{F}(V1) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #91: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #84 ), references = 1, size of lhs = 1:
% 0.12/0.36 P_xx-{F}(V0) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #93: exists( #23, #84 ), references = 1, size of lhs = 0:
% 0.12/0.36 FALSE | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 number of learnt formulas = 5
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36
% 0.12/0.36 randbase = 1
%------------------------------------------------------------------------------