TSTP Solution File: NUN080+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUN080+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 06:13:44 EDT 2022
% Result : Theorem 29.62s 29.82s
% Output : Refutation 29.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUN080+1 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.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 08:49:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 29.62/29.82 GeoParameters:
% 29.62/29.82
% 29.62/29.82 tptp_input = 1
% 29.62/29.82 tptp_output = 0
% 29.62/29.82 nonempty = 1
% 29.62/29.82 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.62/29.82 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 29.62/29.82
% 29.62/29.82
% 29.62/29.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.62/29.82 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.62/29.82
% 29.62/29.82 RuleSystem INPUT:
% 29.62/29.82
% 29.62/29.82 Initial Rules:
% 29.62/29.82 #0: input, references = 4, size of lhs = 0:
% 29.62/29.82 FALSE | EXISTS V0: pppp0-{T}(V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #1: input, references = 6, size of lhs = 2:
% 29.62/29.82 pppp0-{F}(V0), id-{F}(V1,V0) | r1-{T}(V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #2: input, references = 11, size of lhs = 2:
% 29.62/29.82 pppp0-{F}(V0), r1-{F}(V1) | id-{T}(V1,V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #3: input, references = 5, size of lhs = 1:
% 29.62/29.82 #-{F} V0 | EXISTS V1: pppp1-{T}(V1,V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #4: input, references = 9, size of lhs = 2:
% 29.62/29.82 pppp1-{F}(V0,V1), id-{F}(V2,V0) | r2-{T}(V1,V2)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #5: input, references = 3, size of lhs = 2:
% 29.62/29.82 pppp1-{F}(V0,V1), r2-{F}(V1,V2) | id-{T}(V2,V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #6: input, references = 7, size of lhs = 2:
% 29.62/29.82 #-{F} V0, #-{F} V1 | EXISTS V2: pppp2-{T}(V2,V0,V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #7: input, references = 6, size of lhs = 2:
% 29.62/29.82 pppp2-{F}(V0,V1,V2), id-{F}(V3,V0) | r3-{T}(V1,V2,V3)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #8: input, references = 18, size of lhs = 2:
% 29.62/29.82 pppp2-{F}(V0,V1,V2), r3-{F}(V1,V2,V3) | id-{T}(V3,V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #9: input, references = 3, size of lhs = 2:
% 29.62/29.82 #-{F} V0, #-{F} V1 | EXISTS V2: pppp3-{T}(V2,V0,V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #10: input, references = 3, size of lhs = 2:
% 29.62/29.82 pppp3-{F}(V0,V1,V2), id-{F}(V3,V0) | r4-{T}(V1,V2,V3)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #11: input, references = 12, size of lhs = 2:
% 29.62/29.82 pppp3-{F}(V0,V1,V2), r4-{F}(V1,V2,V3) | id-{T}(V3,V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #12: input, references = 12, size of lhs = 1:
% 29.62/29.82 #-{F} V0 | id-{T}(V0,V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #13: input, references = 12, size of lhs = 1:
% 29.62/29.82 id-{F}(V0,V1) | id-{T}(V1,V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #14: input, references = 4, size of lhs = 2:
% 29.62/29.82 id-{F}(V0,V1), id-{F}(V2,V0) | id-{T}(V2,V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #15: input, references = 3, size of lhs = 2:
% 29.62/29.82 id-{F}(V0,V1), r1-{F}(V0) | r1-{T}(V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #16: input, references = 5, size of lhs = 2:
% 29.62/29.82 id-{F}(V0,V1), r1-{F}(V1) | r1-{T}(V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #17: input, references = 6, size of lhs = 3:
% 29.62/29.82 id-{F}(V0,V1), id-{F}(V3,V2), r2-{F}(V3,V0) | r2-{T}(V2,V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #18: input, references = 3, size of lhs = 3:
% 29.62/29.82 id-{F}(V0,V1), id-{F}(V3,V2), r2-{F}(V2,V1) | r2-{T}(V3,V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #19: input, references = 14, size of lhs = 4:
% 29.62/29.82 id-{F}(V0,V1), id-{F}(V3,V2), id-{F}(V5,V4), r3-{F}(V5,V3,V0) | r3-{T}(V4,V2,V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #20: input, references = 3, size of lhs = 4:
% 29.62/29.82 id-{F}(V0,V1), id-{F}(V3,V2), id-{F}(V5,V4), r3-{F}(V4,V2,V1) | r3-{T}(V5,V3,V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #21: input, references = 7, size of lhs = 4:
% 29.62/29.82 id-{F}(V0,V1), id-{F}(V3,V2), id-{F}(V5,V4), r4-{F}(V5,V3,V0) | r4-{T}(V4,V2,V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #22: input, references = 3, size of lhs = 4:
% 29.62/29.82 id-{F}(V0,V1), id-{F}(V3,V2), id-{F}(V5,V4), r4-{F}(V4,V2,V1) | r4-{T}(V5,V3,V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #23: input, references = 3, size of lhs = 2:
% 29.62/29.82 #-{F} V0, #-{F} V1 | EXISTS V2: pppp7-{T}(V2,V1,V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #24: input, references = 5, size of lhs = 1:
% 29.62/29.82 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #25: input, references = 3, size of lhs = 1:
% 29.62/29.82 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V3,V0,V1,V2)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #26: input, references = 5, size of lhs = 1:
% 29.62/29.82 pppp6-{F}(V0,V1,V2,V3) | r3-{T}(V2,V1,V3)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #27: input, references = 8, size of lhs = 1:
% 29.62/29.82 pppp6-{F}(V0,V1,V2,V3) | r2-{T}(V3,V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #28: input, references = 3, size of lhs = 1:
% 29.62/29.82 pppp5-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V0,V2,V4,V3)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #29: input, references = 3, size of lhs = 1:
% 29.62/29.82 pppp5-{F}(V0,V1,V2,V3) | id-{T}(V0,V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #30: input, references = 3, size of lhs = 1:
% 29.62/29.82 pppp4-{F}(V0,V1,V2,V3) | r3-{T}(V3,V2,V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #31: input, references = 3, size of lhs = 1:
% 29.62/29.82 pppp4-{F}(V0,V1,V2,V3) | r2-{T}(V1,V2)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #32: input, references = 3, size of lhs = 2:
% 29.62/29.82 #-{F} V0, #-{F} V1 | EXISTS V2: pppp11-{T}(V2,V1,V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #33: input, references = 7, size of lhs = 1:
% 29.62/29.82 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #34: input, references = 3, size of lhs = 1:
% 29.62/29.82 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V3,V0,V1,V2)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #35: input, references = 9, size of lhs = 1:
% 29.62/29.82 pppp10-{F}(V0,V1,V2,V3) | r4-{T}(V2,V1,V3)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #36: input, references = 9, size of lhs = 1:
% 29.62/29.82 pppp10-{F}(V0,V1,V2,V3) | r3-{T}(V3,V2,V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #37: input, references = 3, size of lhs = 1:
% 29.62/29.82 pppp9-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V0,V2,V4,V3)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #38: input, references = 3, size of lhs = 1:
% 29.62/29.82 pppp9-{F}(V0,V1,V2,V3) | id-{T}(V0,V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #39: input, references = 3, size of lhs = 1:
% 29.62/29.82 pppp8-{F}(V0,V1,V2,V3) | r4-{T}(V3,V2,V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #40: input, references = 3, size of lhs = 1:
% 29.62/29.82 pppp8-{F}(V0,V1,V2,V3) | r2-{T}(V1,V2)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #41: input, references = 5, size of lhs = 3:
% 29.62/29.82 id-{F}(V3,V2), r2-{F}(V0,V3), r2-{F}(V1,V2) | id-{T}(V0,V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #42: input, references = 3, size of lhs = 1:
% 29.62/29.82 #-{F} V0 | EXISTS V1: pppp13-{T}(V1,V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #43: input, references = 5, size of lhs = 1:
% 29.62/29.82 pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V1,V2)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #44: input, references = 3, size of lhs = 1:
% 29.62/29.82 pppp13-{F}(V0,V1) | id-{T}(V0,V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #45: input, references = 8, size of lhs = 1:
% 29.62/29.82 pppp12-{F}(V0,V1,V2) | r3-{T}(V1,V2,V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #46: input, references = 8, size of lhs = 1:
% 29.62/29.82 pppp12-{F}(V0,V1,V2) | r1-{T}(V2)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #47: input, references = 3, size of lhs = 1:
% 29.62/29.82 #-{F} V0 | EXISTS V1: pppp16-{T}(V0,V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #48: input, references = 4, size of lhs = 1:
% 29.62/29.82 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V1,V2)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #49: input, references = 4, size of lhs = 1:
% 29.62/29.82 pppp16-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V2,V0,V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #50: input, references = 5, size of lhs = 1:
% 29.62/29.82 pppp15-{F}(V0,V1) | r1-{T}(V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #51: input, references = 5, size of lhs = 1:
% 29.62/29.82 pppp15-{F}(V0,V1) | id-{T}(V0,V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #52: input, references = 6, size of lhs = 1:
% 29.62/29.82 pppp14-{F}(V0,V1,V2) | r4-{T}(V1,V0,V2)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #53: input, references = 6, size of lhs = 1:
% 29.62/29.82 pppp14-{F}(V0,V1,V2) | r1-{T}(V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #54: input, references = 3, size of lhs = 1:
% 29.62/29.82 #-{F} V0 | pppp20-{T}(V0), pppp21-{T}(V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #55: input, references = 3, size of lhs = 1:
% 29.62/29.82 pppp20-{F}(V0) | EXISTS V1: pppp17-{T}(V0,V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #56: input, references = 3, size of lhs = 1:
% 29.62/29.82 pppp21-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #57: input, references = 3, size of lhs = 1:
% 29.62/29.82 pppp19-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V1,V2)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #58: input, references = 3, size of lhs = 1:
% 29.62/29.82 pppp19-{F}(V0,V1) | id-{T}(V0,V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #59: input, references = 3, size of lhs = 1:
% 29.62/29.82 pppp18-{F}(V0,V1) | r2-{T}(V1,V0)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #60: input, references = 3, size of lhs = 1:
% 29.62/29.82 pppp17-{F}(V0,V1) | r1-{T}(V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #61: input, references = 3, size of lhs = 1:
% 29.62/29.82 pppp17-{F}(V0,V1) | id-{T}(V0,V1)
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #62: input, references = 9, size of lhs = 3:
% 29.62/29.82 id-{F}(V1,V0), r1-{F}(V1), r2-{F}(V2,V0) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #63: input, references = 6, size of lhs = 5:
% 29.62/29.82 r2-{F}(V2,V1), r1-{F}(V3), r2-{F}(V3,V2), r3-{F}(V4,V1,V0), id-{F}(V0,V5) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 number of initial rules = 64
% 29.62/29.82
% 29.62/29.82 Simplifiers:
% 29.62/29.82 #64: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #65: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp1-{F}(V0,V1), pppp1-{F}(V2,V1), V0 == V2 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #66: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V1,V2), V0 == V3 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #67: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), V0 == V3 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #68: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #69: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #70: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V2,V3), V1 == V5 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #71: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #72: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V4,V1,V2,V7), V0 == V4 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #73: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V1,V2), V0 == V3 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #74: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #75: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #76: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V5,V2,V3), V1 == V5 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #77: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #78: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V1,V2,V7), V0 == V4 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #79: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V1,V2), V0 == V3 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #80: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #81: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V5), V0 == V3 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #82: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #83: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V2), V0 == V3 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #84: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V5), V2 == V5 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #85: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #86: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #87: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp17-{F}(V0,V1), pppp17-{F}(V0,V3), V1 == V3 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #88: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #89: unsound, references = 3, size of lhs = 3:
% 29.62/29.82 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 number of simplifiers = 26
% 29.62/29.82
% 29.62/29.82 Learnt:
% 29.62/29.82 #118: mergings( V3 == V4; #115 ), references = 3, size of lhs = 7:
% 29.62/29.82 pppp0-{F}(V0), pppp2-{F}(V0,V1,V0), id-{F}(V2,V1), pppp13-{F}(V3,V2), id-{F}(V3,V4), id-{F}(V4,V5), r2-{F}(V6,V5) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #120: mergings( V3 == V4; #116 ), references = 2, size of lhs = 9:
% 29.62/29.82 pppp0-{F}(V0), pppp2-{F}(V0,V1,V0), id-{F}(V2,V1), pppp13-{F}(V3,V2), id-{F}(V3,V4), r2-{F}(V4,V5), r2-{F}(V5,V6), r3-{F}(V7,V6,V8), id-{F}(V8,V9) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #134: exists( #48, #130 ), references = 6, size of lhs = 3:
% 29.62/29.82 pppp16-{F}(V0,V1), id-{F}(V1,V2), r2-{F}(V3,V2) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #135: exists( #48, #131 ), references = 3, size of lhs = 5:
% 29.62/29.82 pppp16-{F}(V0,V1), r2-{F}(V1,V2), r2-{F}(V2,V3), r3-{F}(V4,V3,V5), id-{F}(V5,V6) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #176: exists( #24, #170 ), references = 1, size of lhs = 3:
% 29.62/29.82 r1-{F}(V0), id-{F}(V0,V1), pppp7-{F}(V1,V2,V3) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #177: exists( #24, #171 ), references = 3, size of lhs = 3:
% 29.62/29.82 pppp16-{F}(V0,V1), id-{F}(V1,V2), pppp7-{F}(V2,V3,V4) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #178: exists( #24, #172 ), references = 1, size of lhs = 7:
% 29.62/29.82 pppp0-{F}(V0), pppp2-{F}(V0,V1,V0), id-{F}(V2,V1), pppp13-{F}(V3,V2), id-{F}(V3,V4), id-{F}(V4,V5), pppp7-{F}(V5,V6,V7) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #226: exists( #43, #220 ), references = 1, size of lhs = 7:
% 29.62/29.82 pppp0-{F}(V0), pppp13-{F}(V1,V2), id-{F}(V2,V3), id-{F}(V1,V4), r2-{F}(V5,V4), pppp2-{F}(V6,V3,V0), pppp16-{F}(V7,V6) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #227: exists( #43, #221 ), references = 2, size of lhs = 10:
% 29.62/29.82 pppp0-{F}(V0), pppp13-{F}(V1,V2), id-{F}(V2,V3), id-{F}(V1,V4), r2-{F}(V4,V5), id-{F}(V5,V6), r2-{F}(V6,V7), r3-{F}(V8,V7,V0), pppp2-{F}(V9,V3,V0), pppp16-{F}(V10,V9) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #228: exists( #43, #222 ), references = 1, size of lhs = 7:
% 29.62/29.82 pppp0-{F}(V0), pppp13-{F}(V1,V2), id-{F}(V2,V3), id-{F}(V1,V4), pppp2-{F}(V5,V3,V0), pppp16-{F}(V6,V5), pppp7-{F}(V4,V7,V8) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #271: exists( #49, #265 ), references = 1, size of lhs = 7:
% 29.62/29.82 pppp0-{F}(V0), pppp16-{F}(V1,V2), id-{F}(V1,V3), id-{F}(V2,V4), pppp16-{F}(V5,V4), pppp3-{F}(V6,V3,V0), r2-{F}(V7,V6) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #272: exists( #49, #266 ), references = 1, size of lhs = 7:
% 29.62/29.82 pppp0-{F}(V0), pppp16-{F}(V1,V2), id-{F}(V1,V3), pppp3-{F}(V4,V3,V0), id-{F}(V2,V5), pppp16-{F}(V6,V5), pppp7-{F}(V4,V7,V8) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #273: exists( #49, #267 ), references = 1, size of lhs = 7:
% 29.62/29.82 pppp0-{F}(V0), r1-{F}(V1), id-{F}(V2,V1), pppp16-{F}(V3,V2), id-{F}(V3,V4), pppp3-{F}(V5,V4,V0), r2-{F}(V6,V5) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #359: exists( #24, #353 ), references = 2, size of lhs = 6:
% 29.62/29.82 r1-{F}(V0), r2-{F}(V1,V2), id-{F}(V2,V3), pppp1-{F}(V1,V4), pppp7-{F}(V3,V5,V6), pppp2-{F}(V0,V6,V5) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #360: exists( #24, #354 ), references = 1, size of lhs = 6:
% 29.62/29.82 r2-{F}(V0,V0), r2-{F}(V0,V1), id-{F}(V1,V2), pppp16-{F}(V3,V4), pppp7-{F}(V2,V5,V6), pppp2-{F}(V4,V6,V5) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #552: exists( #33, #550 ), references = 2, size of lhs = 14:
% 29.62/29.82 pppp0-{F}(V0), r2-{F}(V1,V2), r3-{F}(V3,V2,V0), pppp2-{F}(V1,V4,V5), id-{F}(V6,V5), pppp3-{F}(V4,V6,V7), pppp11-{F}(V8,V7,V6), id-{F}(V8,V9), r2-{F}(V10,V9), id-{F}(V11,V10), pppp13-{F}(V11,V12), id-{F}(V12,V13), pppp2-{F}(V14,V13,V0), pppp16-{F}(V15,V14) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #702: exists( #33, #700 ), references = 2, size of lhs = 10:
% 29.62/29.82 r1-{F}(V0), r2-{F}(V1,V2), pppp1-{F}(V1,V3), pppp2-{F}(V2,V4,V5), id-{F}(V6,V5), pppp3-{F}(V4,V6,V7), pppp11-{F}(V8,V7,V6), id-{F}(V8,V9), pppp7-{F}(V9,V10,V11), pppp2-{F}(V0,V11,V10) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #865: exists( #33, #859 ), references = 1, size of lhs = 7:
% 29.62/29.82 pppp16-{F}(V0,V1), id-{F}(V2,V1), r2-{F}(V3,V4), pppp2-{F}(V4,V5,V6), id-{F}(V7,V6), pppp3-{F}(V5,V7,V8), pppp11-{F}(V2,V8,V7) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #866: exists( #33, #860 ), references = 1, size of lhs = 7:
% 29.62/29.82 r1-{F}(V0), id-{F}(V1,V0), r2-{F}(V2,V3), pppp2-{F}(V3,V4,V5), id-{F}(V6,V5), pppp3-{F}(V4,V6,V7), pppp11-{F}(V1,V7,V6) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #867: exists( #33, #861 ), references = 2, size of lhs = 11:
% 29.62/29.82 pppp0-{F}(V0), pppp2-{F}(V0,V1,V0), id-{F}(V2,V1), pppp13-{F}(V3,V2), id-{F}(V4,V3), id-{F}(V5,V6), r2-{F}(V7,V6), pppp2-{F}(V5,V8,V9), id-{F}(V10,V9), pppp3-{F}(V8,V10,V11), pppp11-{F}(V4,V11,V10) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #1022: exists( #6, #1020 ), references = 2, size of lhs = 10:
% 29.62/29.82 pppp0-{F}(V0), pppp2-{F}(V0,V1,V0), id-{F}(V2,V1), pppp13-{F}(V3,V2), id-{F}(V4,V3), r2-{F}(V5,V6), r3-{F}(V7,V8,V6), id-{F}(V9,V8), pppp3-{F}(V7,V9,V10), pppp11-{F}(V4,V10,V9) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #1135: exists( #6, #1133 ), references = 1, size of lhs = 10:
% 29.62/29.82 r1-{F}(V0), id-{F}(V1,V2), pppp1-{F}(V3,V4), pppp1-{F}(V4,V5), r3-{F}(V6,V7,V3), id-{F}(V8,V7), pppp3-{F}(V6,V8,V9), pppp11-{F}(V1,V9,V8), pppp7-{F}(V2,V10,V11), pppp2-{F}(V0,V11,V10) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #1423: exists( #33, #1421 ), references = 1, size of lhs = 16:
% 29.62/29.82 pppp0-{F}(V0), pppp2-{F}(V0,V1,V0), id-{F}(V2,V1), pppp13-{F}(V3,V2), id-{F}(V4,V3), id-{F}(V5,V6), pppp11-{F}(V7,V5,V8), id-{F}(V8,V9), pppp3-{F}(V10,V9,V6), id-{F}(V10,V11), id-{F}(V8,V12), id-{F}(V7,V13), r2-{F}(V14,V13), id-{F}(V15,V12), pppp3-{F}(V11,V15,V16), pppp11-{F}(V4,V16,V15) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #1448: exists( #6, #1446 ), references = 1, size of lhs = 15:
% 29.62/29.82 pppp0-{F}(V0), id-{F}(V1,V2), r2-{F}(V3,V2), id-{F}(V4,V3), pppp13-{F}(V4,V5), id-{F}(V5,V6), pppp2-{F}(V7,V6,V0), pppp16-{F}(V8,V7), r2-{F}(V9,V10), id-{F}(V10,V11), r3-{F}(V12,V11,V0), r3-{F}(V13,V14,V9), id-{F}(V15,V14), pppp3-{F}(V13,V15,V16), pppp11-{F}(V1,V16,V15) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #1879: exists( #6, #1873 ), references = 1, size of lhs = 3:
% 29.62/29.82 r1-{F}(V0), r2-{F}(V0,V1), r2-{F}(V1,V2) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #1880: exists( #6, #1874 ), references = 1, size of lhs = 3:
% 29.62/29.82 pppp16-{F}(V0,V1), r2-{F}(V1,V2), r2-{F}(V2,V3) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #1881: exists( #6, #1875 ), references = 1, size of lhs = 7:
% 29.62/29.82 pppp0-{F}(V0), pppp2-{F}(V0,V1,V0), id-{F}(V2,V1), pppp13-{F}(V3,V2), id-{F}(V3,V4), r2-{F}(V4,V5), r2-{F}(V5,V6) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #1891: exists( #3, #1885 ), references = 2, size of lhs = 2:
% 29.62/29.82 r1-{F}(V0), r2-{F}(V0,V1) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #1892: exists( #3, #1886 ), references = 1, size of lhs = 2:
% 29.62/29.82 pppp16-{F}(V0,V1), r2-{F}(V1,V2) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #1893: exists( #3, #1887 ), references = 1, size of lhs = 6:
% 29.62/29.82 pppp0-{F}(V0), pppp2-{F}(V0,V1,V0), id-{F}(V2,V1), pppp13-{F}(V3,V2), id-{F}(V3,V4), r2-{F}(V4,V5) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #1898: exists( #3, #1896 ), references = 1, size of lhs = 1:
% 29.62/29.82 r1-{F}(V0) | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 #1902: exists( #0, #1900 ), references = 1, size of lhs = 0:
% 29.62/29.82 FALSE | FALSE
% 29.62/29.82 (used 0 times, uses = {})
% 29.62/29.82
% 29.62/29.82 number of learnt formulas = 32
% 29.62/29.82
% 29.62/29.82
% 29.62/29.82 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.62/29.82
% 29.62/29.82 randbase = 1
%------------------------------------------------------------------------------