TSTP Solution File: COM012+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM012+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 0.20s 0.37s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM012+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 16:59:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.37 GeoParameters:
% 0.20/0.37
% 0.20/0.37 tptp_input = 1
% 0.20/0.37 tptp_output = 0
% 0.20/0.37 nonempty = 1
% 0.20/0.37 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.37 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.20/0.37
% 0.20/0.37
% 0.20/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.37
% 0.20/0.37 RuleSystem INPUT:
% 0.20/0.37
% 0.20/0.37 Initial Rules:
% 0.20/0.37 #0: input, references = 3, size of lhs = 3:
% 0.20/0.37 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aReductOfIn0-{F}(V2,V1,V0) | aElement0-{T}(V2)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #1: input, references = 3, size of lhs = 4:
% 0.20/0.37 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V1,V0) | pppp0-{T}(V2,V1,V0)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #2: input, references = 3, size of lhs = 4:
% 0.20/0.37 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V1,V0) | sdtmndtplgtdt0-{T}(V2,V1,V0)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #3: input, references = 3, size of lhs = 1:
% 0.20/0.37 pppp0-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V0,V1), pppp6-{T}(V0,V1,V2)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #4: input, references = 3, size of lhs = 1:
% 0.20/0.37 pppp6-{F}(V0,V1,V2) | EXISTS V3: pppp2-{T}(V0,V1,V2,V3)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #5: input, references = 3, size of lhs = 1:
% 0.20/0.37 aReductOfIn0-{F}(V2,V0,V1) | pppp0-{T}(V0,V1,V2)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #6: input, references = 3, size of lhs = 3:
% 0.20/0.37 aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V1), sdtmndtplgtdt0-{F}(V3,V1,V2) | pppp0-{T}(V0,V1,V2)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #7: input, references = 3, size of lhs = 1:
% 0.20/0.37 pppp2-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V3,V1,V2)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #8: input, references = 3, size of lhs = 1:
% 0.20/0.37 pppp2-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V0,V1)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #9: input, references = 3, size of lhs = 1:
% 0.20/0.37 pppp2-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #10: input, references = 4, size of lhs = 6:
% 0.20/0.37 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)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #11: input, references = 3, size of lhs = 4:
% 0.20/0.37 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0) | pppp1-{T}(V2,V1,V0)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #12: input, references = 3, size of lhs = 4:
% 0.20/0.37 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp1-{F}(V2,V1,V0) | sdtmndtasgtdt0-{T}(V2,V1,V0)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #13: input, references = 3, size of lhs = 2:
% 0.20/0.37 pppp1-{F}(V0,V1,V2), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #14: input, references = 3, size of lhs = 2:
% 0.20/0.37 #-{F} V2, #-{F} V1 | pppp1-{T}(V2,V1,V2)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #15: input, references = 3, size of lhs = 1:
% 0.20/0.37 sdtmndtplgtdt0-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #16: input, references = 4, size of lhs = 4:
% 0.20/0.37 P_xx-{F}(V0), P_xR-{F}(V1), P_xy-{F}(V2), P_xz-{F}(V3) | aElement0-{T}(V0)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #17: input, references = 4, size of lhs = 4:
% 0.20/0.37 P_xx-{F}(V0), P_xR-{F}(V1), P_xy-{F}(V2), P_xz-{F}(V3) | aRewritingSystem0-{T}(V1)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #18: input, references = 4, size of lhs = 4:
% 0.20/0.37 P_xx-{F}(V0), P_xR-{F}(V1), P_xy-{F}(V2), P_xz-{F}(V3) | aElement0-{T}(V2)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #19: input, references = 4, size of lhs = 4:
% 0.20/0.37 P_xx-{F}(V0), P_xR-{F}(V1), P_xy-{F}(V2), P_xz-{F}(V3) | aElement0-{T}(V3)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #20: input, references = 6, size of lhs = 4:
% 0.20/0.37 P_xx-{F}(V0), P_xR-{F}(V1), P_xy-{F}(V2), P_xz-{F}(V3) | pppp5-{T}(V0,V1,V2,V3)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #21: input, references = 5, size of lhs = 2:
% 0.20/0.37 pppp5-{F}(V0,V1,V2,V3), sdtmndtasgtdt0-{F}(V0,V1,V3) | FALSE
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #22: input, references = 4, size of lhs = 2:
% 0.20/0.37 pppp5-{F}(V0,V1,V2,V3), sdtmndtplgtdt0-{F}(V0,V1,V3) | FALSE
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #23: input, references = 3, size of lhs = 4:
% 0.20/0.37 pppp5-{F}(V0,V1,V2,V3), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V0,V1), sdtmndtplgtdt0-{F}(V4,V1,V3) | FALSE
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #24: input, references = 3, size of lhs = 2:
% 0.20/0.37 pppp5-{F}(V0,V1,V2,V3), aReductOfIn0-{F}(V3,V0,V1) | FALSE
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #25: input, references = 3, size of lhs = 1:
% 0.20/0.37 pppp5-{F}(V3,V1,V2,V3) | FALSE
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #26: input, references = 4, size of lhs = 1:
% 0.20/0.37 pppp5-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V1,V3)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #27: input, references = 4, size of lhs = 2:
% 0.20/0.37 pppp5-{F}(V0,V1,V2,V3), V2 == V3 | sdtmndtplgtdt0-{T}(V2,V1,V3)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #28: input, references = 3, size of lhs = 2:
% 0.20/0.37 pppp5-{F}(V0,V1,V2,V3), V2 == V3 | aReductOfIn0-{T}(V3,V2,V1), pppp7-{T}(V1,V2,V3)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #29: input, references = 3, size of lhs = 1:
% 0.20/0.37 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V3,V0,V1,V2)
% 0.20/0.37 (used 0 times, uses = {})
% 0.20/0.37
% 0.20/0.37 #30: input, references = 4, size of lhs = 1:
% 0.20/0.38 pppp5-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V1,V2)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #31: input, references = 4, size of lhs = 2:
% 0.20/0.38 pppp5-{F}(V0,V1,V2,V3), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #32: input, references = 3, size of lhs = 2:
% 0.20/0.38 pppp5-{F}(V0,V1,V2,V3), V0 == V2 | aReductOfIn0-{T}(V2,V0,V1), pppp8-{T}(V0,V1,V2)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #33: input, references = 3, size of lhs = 1:
% 0.20/0.38 pppp8-{F}(V0,V1,V2) | EXISTS V3: pppp3-{T}(V3,V0,V1,V2)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #34: input, references = 3, size of lhs = 1:
% 0.20/0.38 pppp4-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V1,V3)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #35: input, references = 3, size of lhs = 1:
% 0.20/0.38 pppp4-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V2,V1)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #36: input, references = 3, size of lhs = 1:
% 0.20/0.38 pppp4-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #37: input, references = 3, size of lhs = 1:
% 0.20/0.38 pppp3-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V2,V3)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #38: input, references = 3, size of lhs = 1:
% 0.20/0.38 pppp3-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V1,V2)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #39: input, references = 3, size of lhs = 1:
% 0.20/0.38 pppp3-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #40: input, references = 4, size of lhs = 0:
% 0.20/0.38 FALSE | EXISTS V0: P_xx-{T}(V0)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #41: input, references = 4, size of lhs = 0:
% 0.20/0.38 FALSE | EXISTS V0: P_xR-{T}(V0)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #42: input, references = 4, size of lhs = 0:
% 0.20/0.38 FALSE | EXISTS V0: P_xy-{T}(V0)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #43: input, references = 5, size of lhs = 0:
% 0.20/0.38 FALSE | EXISTS V0: P_xz-{T}(V0)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 number of initial rules = 44
% 0.20/0.38
% 0.20/0.38 Simplifiers:
% 0.20/0.38 #44: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 aRewritingSystem0-{F}(V0), aRewritingSystem0-{F}(V1), V0 == V1 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #45: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 aReductOfIn0-{F}(V0,V1,V2), aReductOfIn0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #46: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 sdtmndtasgtdt0-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #47: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #48: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 P_xx-{F}(V0), P_xx-{F}(V1), V0 == V1 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #49: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 P_xR-{F}(V0), P_xR-{F}(V1), V0 == V1 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #50: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 P_xy-{F}(V0), P_xy-{F}(V1), V0 == V1 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #51: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 P_xz-{F}(V0), P_xz-{F}(V1), V0 == V1 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #52: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #53: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #54: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #55: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #56: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #57: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #58: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #59: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #60: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #61: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #62: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #63: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #64: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #65: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #66: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #67: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #68: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #69: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #70: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #71: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #72: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 number of simplifiers = 29
% 0.20/0.38
% 0.20/0.38 Learnt:
% 0.20/0.38 #95: mergings( V3 == V5, V5 == V7, V7 == V10, V1 == V6, V6 == V8, V8 == V11, V2 == V4, V4 == V9, V9 == V12; #85 ), references = 1, size of lhs = 4:
% 0.20/0.38 P_xx-{F}(V0), P_xR-{F}(V1), P_xy-{F}(V2), V0 == V2 | P_xz-{T}(V2)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #112: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V1 == V4, V4 == V6, V6 == V8, V8 == V10; #102 ), references = 1, size of lhs = 2:
% 0.20/0.38 P_xx-{F}(V0), P_xR-{F}(V1) | P_xy-{T}(V0)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #119: exists( #43, #115 ), references = 1, size of lhs = 3:
% 0.20/0.38 P_xx-{F}(V0), P_xy-{F}(V0), P_xR-{F}(V1) | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #126: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #121 ), references = 1, size of lhs = 1:
% 0.20/0.38 P_xx-{F}(V0) | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #128: exists( #40, #121 ), references = 1, size of lhs = 0:
% 0.20/0.38 FALSE | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 number of learnt formulas = 5
% 0.20/0.38
% 0.20/0.38
% 0.20/0.38 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.38
% 0.20/0.38 randbase = 1
%------------------------------------------------------------------------------