TSTP Solution File: NUN069+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUN069+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 06:13:42 EDT 2022
% Result : Theorem 0.12s 0.37s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUN069+2 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n010.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 08:39:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.37 GeoParameters:
% 0.12/0.37
% 0.12/0.37 tptp_input = 1
% 0.12/0.37 tptp_output = 0
% 0.12/0.37 nonempty = 1
% 0.12/0.37 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37
% 0.12/0.37 RuleSystem INPUT:
% 0.12/0.37
% 0.12/0.37 Initial Rules:
% 0.12/0.37 #0: input, references = 4, size of lhs = 0:
% 0.12/0.37 FALSE | EXISTS V0: pppp0-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #1: input, references = 4, size of lhs = 1:
% 0.12/0.37 pppp0-{F}(V0) | r1-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #2: input, references = 4, size of lhs = 3:
% 0.12/0.37 pppp0-{F}(V0), r1-{F}(V1), V1 == V0 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #3: input, references = 4, size of lhs = 1:
% 0.12/0.37 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #4: input, references = 4, size of lhs = 1:
% 0.12/0.37 pppp1-{F}(V0,V1) | r2-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #5: input, references = 3, size of lhs = 3:
% 0.12/0.37 pppp1-{F}(V0,V1), r2-{F}(V0,V2), V2 == V1 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #6: input, references = 4, size of lhs = 2:
% 0.12/0.37 #-{F} V0, #-{F} V1 | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #7: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp2-{F}(V0,V1,V2) | r3-{T}(V0,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #8: input, references = 4, size of lhs = 3:
% 0.12/0.37 pppp2-{F}(V0,V1,V2), r3-{F}(V0,V1,V3), V3 == V2 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #9: input, references = 3, size of lhs = 2:
% 0.12/0.37 #-{F} V0, #-{F} V1 | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #10: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp3-{F}(V0,V1,V2) | r4-{T}(V0,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #11: input, references = 3, size of lhs = 3:
% 0.12/0.37 pppp3-{F}(V0,V1,V2), r4-{F}(V0,V1,V3), V3 == V2 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #12: input, references = 3, size of lhs = 2:
% 0.12/0.37 #-{F} V0, #-{F} V1 | EXISTS V2: pppp7-{T}(V1,V0,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #13: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #14: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V1,V3,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #15: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp6-{F}(V0,V1,V2,V3) | r3-{T}(V1,V0,V3)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #16: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp6-{F}(V0,V1,V2,V3) | r2-{T}(V3,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #17: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp5-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #18: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp5-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V0,V4,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #19: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp4-{F}(V0,V1,V2,V3) | r3-{T}(V2,V1,V3)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #20: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp4-{F}(V0,V1,V2,V3) | r2-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #21: input, references = 3, size of lhs = 2:
% 0.12/0.37 #-{F} V0, #-{F} V1 | EXISTS V2: pppp11-{T}(V1,V0,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #22: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #23: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V0,V1,V3,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #24: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp10-{F}(V0,V1,V2,V3) | r4-{T}(V1,V0,V3)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #25: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp10-{F}(V0,V1,V2,V3) | r3-{T}(V3,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #26: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp9-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #27: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp9-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V0,V4,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #28: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp8-{F}(V0,V1,V2,V3) | r4-{T}(V2,V1,V3)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #29: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp8-{F}(V0,V1,V2,V3) | r2-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #30: input, references = 3, size of lhs = 3:
% 0.12/0.37 r2-{F}(V0,V2), r2-{F}(V1,V2), V0 == V1 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #31: input, references = 4, size of lhs = 1:
% 0.12/0.37 #-{F} V0 | EXISTS V1: pppp13-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #32: input, references = 4, size of lhs = 2:
% 0.12/0.37 pppp13-{F}(V0,V1), V1 == V0 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #33: input, references = 4, size of lhs = 1:
% 0.12/0.37 pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #34: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp12-{F}(V0,V1,V2) | r3-{T}(V1,V0,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #35: input, references = 4, size of lhs = 1:
% 0.12/0.37 pppp12-{F}(V0,V1,V2) | r1-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #36: input, references = 3, size of lhs = 1:
% 0.12/0.37 #-{F} V0 | EXISTS V1: pppp16-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #37: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #38: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp16-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V2,V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #39: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp15-{F}(V0,V1), V0 == V1 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #40: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp15-{F}(V0,V1) | r1-{T}(V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #41: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp14-{F}(V0,V1,V2) | r4-{T}(V1,V0,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #42: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp14-{F}(V0,V1,V2) | r1-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #43: input, references = 3, size of lhs = 1:
% 0.12/0.37 #-{F} V0 | pppp20-{T}(V0), pppp21-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #44: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp20-{F}(V0) | EXISTS V1: pppp17-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #45: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp21-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #46: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp19-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #47: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp19-{F}(V0,V1), V0 == V1 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #48: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp18-{F}(V0,V1) | r2-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #49: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp17-{F}(V0,V1), V1 == V0 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #50: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp17-{F}(V0,V1) | r1-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #51: input, references = 3, size of lhs = 2:
% 0.12/0.37 r1-{F}(V0), r2-{F}(V2,V0) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #52: input, references = 4, size of lhs = 2:
% 0.12/0.37 r1-{F}(V1), r2-{F}(V1,V0) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 number of initial rules = 53
% 0.12/0.37
% 0.12/0.37 Simplifiers:
% 0.12/0.37 #53: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #54: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #55: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #56: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #57: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #58: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #59: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #60: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #61: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #62: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #63: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #64: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #65: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #66: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #67: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #68: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #69: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #70: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V5), V2 == V5 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #71: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #72: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #73: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V5), V2 == V5 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #74: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #75: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #76: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #77: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #78: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 number of simplifiers = 26
% 0.12/0.37
% 0.12/0.37 Learnt:
% 0.12/0.37 #80: exists( #31, #32 ), references = 1, size of lhs = 1:
% 0.12/0.37 #-{F} V0 | pppp13-{T}(V0,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #85: exists( #33, #81 ), references = 1, size of lhs = 2:
% 0.12/0.37 pppp0-{F}(V0), pppp13-{F}(V1,V2) | pppp12-{T}(V0,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #88: exists( #6, #8 ), references = 1, size of lhs = 1:
% 0.12/0.37 r3-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #93: exists( #3, #91 ), references = 1, size of lhs = 1:
% 0.12/0.37 r1-{F}(V0) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #96: exists( #0, #94 ), references = 1, size of lhs = 0:
% 0.12/0.37 FALSE | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 number of learnt formulas = 5
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37
% 0.12/0.37 randbase = 1
%------------------------------------------------------------------------------