TSTP Solution File: NUN056+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUN056+2 : TPTP v8.1.0. Released v7.3.0.
% 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 06:13:40 EDT 2022
% Result : Theorem 0.76s 0.93s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUN056+2 : TPTP v8.1.0. Released v7.3.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n003.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 08:46:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.76/0.93 GeoParameters:
% 0.76/0.93
% 0.76/0.93 tptp_input = 1
% 0.76/0.93 tptp_output = 0
% 0.76/0.93 nonempty = 1
% 0.76/0.93 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.93 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.76/0.93
% 0.76/0.93
% 0.76/0.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.93 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.93
% 0.76/0.93 RuleSystem INPUT:
% 0.76/0.93
% 0.76/0.93 Initial Rules:
% 0.76/0.93 #0: input, references = 4, size of lhs = 0:
% 0.76/0.93 FALSE | EXISTS V0: pppp0-{T}(V0)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #1: input, references = 4, size of lhs = 1:
% 0.76/0.93 pppp0-{F}(V0) | r1-{T}(V0)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #2: input, references = 7, size of lhs = 3:
% 0.76/0.93 pppp0-{F}(V0), r1-{F}(V1), V1 == V0 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #3: input, references = 4, size of lhs = 1:
% 0.76/0.93 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #4: input, references = 3, size of lhs = 1:
% 0.76/0.93 pppp1-{F}(V0,V1) | r2-{T}(V0,V1)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #5: input, references = 6, size of lhs = 3:
% 0.76/0.93 pppp1-{F}(V0,V1), r2-{F}(V0,V2), V2 == V1 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #6: input, references = 6, size of lhs = 2:
% 0.76/0.93 #-{F} V0, #-{F} V1 | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #7: input, references = 3, size of lhs = 1:
% 0.76/0.93 pppp2-{F}(V0,V1,V2) | r3-{T}(V0,V1,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #8: input, references = 6, size of lhs = 3:
% 0.76/0.93 pppp2-{F}(V0,V1,V2), r3-{F}(V0,V1,V3), V3 == V2 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #9: input, references = 4, size of lhs = 2:
% 0.76/0.93 #-{F} V0, #-{F} V1 | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #10: input, references = 3, size of lhs = 1:
% 0.76/0.93 pppp3-{F}(V0,V1,V2) | r4-{T}(V0,V1,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #11: input, references = 4, size of lhs = 3:
% 0.76/0.93 pppp3-{F}(V0,V1,V2), r4-{F}(V0,V1,V3), V3 == V2 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #12: input, references = 8, size of lhs = 2:
% 0.76/0.93 #-{F} V0, #-{F} V1 | EXISTS V2: pppp7-{T}(V1,V0,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #13: input, references = 4, size of lhs = 1:
% 0.76/0.93 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #14: input, references = 4, size of lhs = 1:
% 0.76/0.93 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V1,V3,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #15: input, references = 4, size of lhs = 1:
% 0.76/0.93 pppp6-{F}(V0,V1,V2,V3) | r3-{T}(V1,V0,V3)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #16: input, references = 8, size of lhs = 1:
% 0.76/0.93 pppp6-{F}(V0,V1,V2,V3) | r2-{T}(V3,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #17: input, references = 4, size of lhs = 2:
% 0.76/0.93 pppp5-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #18: input, references = 4, size of lhs = 1:
% 0.76/0.93 pppp5-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V0,V4,V1,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #19: input, references = 7, size of lhs = 1:
% 0.76/0.93 pppp4-{F}(V0,V1,V2,V3) | r3-{T}(V2,V1,V3)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #20: input, references = 4, size of lhs = 1:
% 0.76/0.93 pppp4-{F}(V0,V1,V2,V3) | r2-{T}(V0,V1)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #21: input, references = 3, size of lhs = 2:
% 0.76/0.93 #-{F} V0, #-{F} V1 | EXISTS V2: pppp11-{T}(V1,V0,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #22: input, references = 3, size of lhs = 1:
% 0.76/0.93 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #23: input, references = 3, size of lhs = 1:
% 0.76/0.93 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V0,V1,V3,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #24: input, references = 3, size of lhs = 1:
% 0.76/0.93 pppp10-{F}(V0,V1,V2,V3) | r4-{T}(V1,V0,V3)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #25: input, references = 3, size of lhs = 1:
% 0.76/0.93 pppp10-{F}(V0,V1,V2,V3) | r3-{T}(V3,V1,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #26: input, references = 3, size of lhs = 2:
% 0.76/0.93 pppp9-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #27: input, references = 3, size of lhs = 1:
% 0.76/0.93 pppp9-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V0,V4,V1,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #28: input, references = 3, size of lhs = 1:
% 0.76/0.93 pppp8-{F}(V0,V1,V2,V3) | r4-{T}(V2,V1,V3)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #29: input, references = 3, size of lhs = 1:
% 0.76/0.93 pppp8-{F}(V0,V1,V2,V3) | r2-{T}(V0,V1)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #30: input, references = 5, size of lhs = 3:
% 0.76/0.93 r2-{F}(V0,V2), r2-{F}(V1,V2), V0 == V1 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #31: input, references = 4, size of lhs = 1:
% 0.76/0.93 #-{F} V0 | EXISTS V1: pppp13-{T}(V0,V1)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #32: input, references = 4, size of lhs = 2:
% 0.76/0.93 pppp13-{F}(V0,V1), V1 == V0 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #33: input, references = 4, size of lhs = 1:
% 0.76/0.93 pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V0,V1)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #34: input, references = 5, size of lhs = 1:
% 0.76/0.93 pppp12-{F}(V0,V1,V2) | r3-{T}(V1,V0,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #35: input, references = 4, size of lhs = 1:
% 0.76/0.93 pppp12-{F}(V0,V1,V2) | r1-{T}(V0)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #36: input, references = 4, size of lhs = 1:
% 0.76/0.93 #-{F} V0 | EXISTS V1: pppp16-{T}(V0,V1)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #37: input, references = 4, size of lhs = 1:
% 0.76/0.93 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V1,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #38: input, references = 4, size of lhs = 1:
% 0.76/0.93 pppp16-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V2,V0,V1)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #39: input, references = 4, size of lhs = 2:
% 0.76/0.93 pppp15-{F}(V0,V1), V0 == V1 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #40: input, references = 4, size of lhs = 1:
% 0.76/0.93 pppp15-{F}(V0,V1) | r1-{T}(V1)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #41: input, references = 3, size of lhs = 1:
% 0.76/0.93 pppp14-{F}(V0,V1,V2) | r4-{T}(V1,V0,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #42: input, references = 4, size of lhs = 1:
% 0.76/0.93 pppp14-{F}(V0,V1,V2) | r1-{T}(V0)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #43: input, references = 4, size of lhs = 1:
% 0.76/0.93 #-{F} V0 | pppp20-{T}(V0), pppp21-{T}(V0)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #44: input, references = 4, size of lhs = 1:
% 0.76/0.93 pppp20-{F}(V0) | EXISTS V1: pppp17-{T}(V1,V0)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #45: input, references = 4, size of lhs = 1:
% 0.76/0.93 pppp21-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #46: input, references = 4, size of lhs = 1:
% 0.76/0.93 pppp19-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V1,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #47: input, references = 4, size of lhs = 2:
% 0.76/0.93 pppp19-{F}(V0,V1), V0 == V1 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #48: input, references = 4, size of lhs = 1:
% 0.76/0.93 pppp18-{F}(V0,V1) | r2-{T}(V1,V0)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #49: input, references = 4, size of lhs = 2:
% 0.76/0.93 pppp17-{F}(V0,V1), V1 == V0 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #50: input, references = 4, size of lhs = 1:
% 0.76/0.93 pppp17-{F}(V0,V1) | r1-{T}(V0)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #51: input, references = 3, size of lhs = 2:
% 0.76/0.93 r1-{F}(V0), r2-{F}(V2,V0) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #52: input, references = 4, size of lhs = 10:
% 0.76/0.93 r2-{F}(V2,V1), r2-{F}(V3,V2), r1-{F}(V4), r2-{F}(V4,V3), r3-{F}(V6,V5,V1), r1-{F}(V7), r2-{F}(V7,V6), r2-{F}(V8,V5), r1-{F}(V9), r2-{F}(V9,V8) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 number of initial rules = 53
% 0.76/0.93
% 0.76/0.93 Simplifiers:
% 0.76/0.93 #53: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #54: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #55: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #56: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #57: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #58: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #59: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #60: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #61: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #62: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #63: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #64: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #65: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #66: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #67: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #68: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #69: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #70: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V5), V2 == V5 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #71: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #72: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #73: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V5), V2 == V5 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #74: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #75: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #76: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #77: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #78: unsound, references = 3, size of lhs = 3:
% 0.76/0.93 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 number of simplifiers = 26
% 0.76/0.93
% 0.76/0.93 Learnt:
% 0.76/0.93 #80: exists( #31, #32 ), references = 3, size of lhs = 1:
% 0.76/0.93 #-{F} V0 | pppp13-{T}(V0,V0)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #86: exists( #33, #81 ), references = 3, size of lhs = 2:
% 0.76/0.93 pppp0-{F}(V0), pppp13-{F}(V1,V2) | pppp12-{T}(V0,V1,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #89: exists( #6, #8 ), references = 5, size of lhs = 1:
% 0.76/0.93 r3-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #94: exists( #45, #47 ), references = 1, size of lhs = 1:
% 0.76/0.93 pppp21-{F}(V0) | pppp19-{T}(V0,V0)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #98: exists( #46, #96 ), references = 1, size of lhs = 2:
% 0.76/0.93 pppp19-{F}(V0,V1), r2-{F}(V2,V1) | pppp18-{T}(V1,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #101: exists( #37, #39 ), references = 2, size of lhs = 1:
% 0.76/0.93 pppp16-{F}(V0,V1) | pppp15-{T}(V1,V1)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #108: exists( #38, #104 ), references = 1, size of lhs = 2:
% 0.76/0.93 pppp0-{F}(V0), pppp16-{F}(V1,V2) | pppp14-{T}(V0,V1,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #112: exists( #9, #11 ), references = 1, size of lhs = 1:
% 0.76/0.93 r4-{F}(V0,V1,V2) | pppp3-{T}(V0,V1,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #122: exists( #36, #118 ), references = 1, size of lhs = 2:
% 0.76/0.93 pppp0-{F}(V0), #-{F} V1 | pppp16-{T}(V1,V0)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #126: exists( #44, #49 ), references = 1, size of lhs = 1:
% 0.76/0.93 pppp20-{F}(V0) | pppp17-{T}(V0,V0)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #130: disj( #43, #125+#50+#2 ), references = 1, size of lhs = 3:
% 0.76/0.93 pppp0-{F}(V0), #-{F} V1, V1 == V0 | pppp21-{T}(V1)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #138: exists( #13, #133 ), references = 1, size of lhs = 2:
% 0.76/0.93 r2-{F}(V0,V1), pppp7-{F}(V2,V3,V1) | pppp6-{T}(V2,V3,V1,V0)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #139: exists( #13, #135 ), references = 5, size of lhs = 2:
% 0.76/0.93 pppp7-{F}(V0,V1,V2), pppp2-{F}(V1,V0,V3) | pppp6-{T}(V0,V1,V2,V3)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #149: exists( #3, #5 ), references = 4, size of lhs = 1:
% 0.76/0.93 r2-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #158: exists( #12, #156 ), references = 3, size of lhs = 2:
% 0.76/0.93 pppp1-{F}(V0,V1), pppp2-{F}(V2,V3,V0) | pppp7-{T}(V3,V2,V1)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #162: exists( #14, #17 ), references = 5, size of lhs = 1:
% 0.76/0.93 pppp7-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2,V2)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #171: exists( #18, #169 ), references = 5, size of lhs = 2:
% 0.76/0.93 pppp1-{F}(V0,V1), pppp5-{F}(V0,V2,V3,V4) | pppp4-{T}(V0,V1,V2,V3)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #205: exists( #12, #203 ), references = 1, size of lhs = 2:
% 0.76/0.93 pppp1-{F}(V0,V1), pppp2-{F}(V2,V1,V3) | pppp7-{T}(V0,V2,V3)
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #238: exists( #12, #236 ), references = 1, size of lhs = 11:
% 0.76/0.93 r1-{F}(V0), r2-{F}(V0,V1), r2-{F}(V1,V2), r1-{F}(V3), r2-{F}(V3,V4), r1-{F}(V5), r2-{F}(V5,V6), r2-{F}(V6,V7), pppp1-{F}(V8,V7), pppp2-{F}(V4,V8,V2), pppp2-{F}(V9,V10,V2) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #252: exists( #12, #250 ), references = 1, size of lhs = 10:
% 0.76/0.93 r1-{F}(V0), r2-{F}(V0,V1), r1-{F}(V2), r2-{F}(V2,V3), r1-{F}(V4), r2-{F}(V4,V1), pppp2-{F}(V3,V5,V1), pppp1-{F}(V5,V1), pppp1-{F}(V6,V7), pppp2-{F}(V8,V6,V1) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #254: exists( #6, #251 ), references = 1, size of lhs = 10:
% 0.76/0.93 r1-{F}(V0), r2-{F}(V0,V1), r1-{F}(V2), r2-{F}(V2,V3), r1-{F}(V4), r2-{F}(V4,V1), pppp2-{F}(V3,V5,V1), pppp1-{F}(V5,V1), pppp1-{F}(V6,V7), pppp2-{F}(V8,V6,V1) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #263: exists( #12, #261 ), references = 1, size of lhs = 3:
% 0.76/0.93 pppp0-{F}(V0), r1-{F}(V0), pppp2-{F}(V1,V2,V0) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #271: exists( #0, #269 ), references = 1, size of lhs = 0:
% 0.76/0.93 FALSE | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 number of learnt formulas = 23
% 0.76/0.93
% 0.76/0.93
% 0.76/0.93 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.93
% 0.76/0.93 randbase = 1
%------------------------------------------------------------------------------