%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUN077+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 3.67s 3.85s
% Output : Refutation 3.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUN077+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 : n018.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 08:50:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.67/3.85 GeoParameters:
% 3.67/3.85
% 3.67/3.85 tptp_input = 1
% 3.67/3.85 tptp_output = 0
% 3.67/3.85 nonempty = 1
% 3.67/3.85 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.67/3.85 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.67/3.85
% 3.67/3.85
% 3.67/3.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.67/3.85 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.67/3.85
% 3.67/3.85 RuleSystem INPUT:
% 3.67/3.85
% 3.67/3.85 Initial Rules:
% 3.67/3.85 #0: input, references = 4, size of lhs = 0:
% 3.67/3.85 FALSE | EXISTS V0: pppp0-{T}(V0)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #1: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp0-{F}(V0) | r1-{T}(V0)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #2: input, references = 7, size of lhs = 3:
% 3.67/3.85 pppp0-{F}(V0), r1-{F}(V1), V1 == V0 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #3: input, references = 7, size of lhs = 1:
% 3.67/3.85 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #4: input, references = 11, size of lhs = 1:
% 3.67/3.85 pppp1-{F}(V0,V1) | r2-{T}(V0,V1)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #5: input, references = 7, size of lhs = 3:
% 3.67/3.85 pppp1-{F}(V0,V1), r2-{F}(V0,V2), V2 == V1 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #6: input, references = 6, size of lhs = 2:
% 3.67/3.85 #-{F} V0, #-{F} V1 | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #7: input, references = 3, size of lhs = 1:
% 3.67/3.85 pppp2-{F}(V0,V1,V2) | r3-{T}(V0,V1,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #8: input, references = 7, size of lhs = 3:
% 3.67/3.85 pppp2-{F}(V0,V1,V2), r3-{F}(V0,V1,V3), V3 == V2 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #9: input, references = 4, size of lhs = 2:
% 3.67/3.85 #-{F} V0, #-{F} V1 | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #10: input, references = 3, size of lhs = 1:
% 3.67/3.85 pppp3-{F}(V0,V1,V2) | r4-{T}(V0,V1,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #11: input, references = 6, size of lhs = 3:
% 3.67/3.85 pppp3-{F}(V0,V1,V2), r4-{F}(V0,V1,V3), V3 == V2 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #12: input, references = 9, size of lhs = 2:
% 3.67/3.85 #-{F} V0, #-{F} V1 | EXISTS V2: pppp7-{T}(V1,V0,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #13: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #14: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V1,V3,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #15: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp6-{F}(V0,V1,V2,V3) | r3-{T}(V1,V0,V3)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #16: input, references = 10, size of lhs = 1:
% 3.67/3.85 pppp6-{F}(V0,V1,V2,V3) | r2-{T}(V3,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #17: input, references = 4, size of lhs = 2:
% 3.67/3.85 pppp5-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #18: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp5-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V0,V4,V1,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #19: input, references = 15, size of lhs = 1:
% 3.67/3.85 pppp4-{F}(V0,V1,V2,V3) | r3-{T}(V2,V1,V3)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #20: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp4-{F}(V0,V1,V2,V3) | r2-{T}(V0,V1)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #21: input, references = 5, size of lhs = 2:
% 3.67/3.85 #-{F} V0, #-{F} V1 | EXISTS V2: pppp11-{T}(V1,V0,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #22: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #23: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V0,V1,V3,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #24: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp10-{F}(V0,V1,V2,V3) | r4-{T}(V1,V0,V3)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #25: input, references = 5, size of lhs = 1:
% 3.67/3.85 pppp10-{F}(V0,V1,V2,V3) | r3-{T}(V3,V1,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #26: input, references = 4, size of lhs = 2:
% 3.67/3.85 pppp9-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #27: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp9-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V0,V4,V1,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #28: input, references = 8, size of lhs = 1:
% 3.67/3.85 pppp8-{F}(V0,V1,V2,V3) | r4-{T}(V2,V1,V3)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #29: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp8-{F}(V0,V1,V2,V3) | r2-{T}(V0,V1)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #30: input, references = 6, size of lhs = 3:
% 3.67/3.85 r2-{F}(V0,V2), r2-{F}(V1,V2), V0 == V1 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #31: input, references = 4, size of lhs = 1:
% 3.67/3.85 #-{F} V0 | EXISTS V1: pppp13-{T}(V0,V1)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #32: input, references = 4, size of lhs = 2:
% 3.67/3.85 pppp13-{F}(V0,V1), V1 == V0 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #33: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V0,V1)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #34: input, references = 6, size of lhs = 1:
% 3.67/3.85 pppp12-{F}(V0,V1,V2) | r3-{T}(V1,V0,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #35: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp12-{F}(V0,V1,V2) | r1-{T}(V0)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #36: input, references = 4, size of lhs = 1:
% 3.67/3.85 #-{F} V0 | EXISTS V1: pppp16-{T}(V0,V1)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #37: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V1,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #38: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp16-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V2,V0,V1)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #39: input, references = 4, size of lhs = 2:
% 3.67/3.85 pppp15-{F}(V0,V1), V0 == V1 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #40: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp15-{F}(V0,V1) | r1-{T}(V1)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #41: input, references = 6, size of lhs = 1:
% 3.67/3.85 pppp14-{F}(V0,V1,V2) | r4-{T}(V1,V0,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #42: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp14-{F}(V0,V1,V2) | r1-{T}(V0)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #43: input, references = 4, size of lhs = 1:
% 3.67/3.85 #-{F} V0 | pppp20-{T}(V0), pppp21-{T}(V0)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #44: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp20-{F}(V0) | EXISTS V1: pppp17-{T}(V1,V0)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #45: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp21-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #46: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp19-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V1,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #47: input, references = 4, size of lhs = 2:
% 3.67/3.85 pppp19-{F}(V0,V1), V0 == V1 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #48: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp18-{F}(V0,V1) | r2-{T}(V1,V0)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #49: input, references = 4, size of lhs = 2:
% 3.67/3.85 pppp17-{F}(V0,V1), V1 == V0 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #50: input, references = 4, size of lhs = 1:
% 3.67/3.85 pppp17-{F}(V0,V1) | r1-{T}(V0)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #51: input, references = 4, size of lhs = 2:
% 3.67/3.85 r1-{F}(V0), r2-{F}(V2,V0) | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #52: input, references = 6, size of lhs = 15:
% 3.67/3.85 r2-{F}(V2,V1), r2-{F}(V3,V2), r2-{F}(V4,V3), r2-{F}(V5,V4), r2-{F}(V6,V5), r1-{F}(V7), r2-{F}(V7,V6), r2-{F}(V9,V8), r2-{F}(V10,V9), r1-{F}(V11), r2-{F}(V11,V10), r4-{F}(V12,V8,V1), r2-{F}(V13,V12), r1-{F}(V14), r2-{F}(V14,V13) | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 number of initial rules = 53
% 3.67/3.85
% 3.67/3.85 Simplifiers:
% 3.67/3.85 #53: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #54: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #55: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #56: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #57: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #58: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #59: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #60: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #61: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #62: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #63: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #64: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #65: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #66: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #67: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #68: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #69: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V2), V0 == V3 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #70: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V5), V2 == V5 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #71: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #72: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V2), V0 == V3 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #73: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V5), V2 == V5 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #74: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #75: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #76: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #77: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #78: unsound, references = 3, size of lhs = 3:
% 3.67/3.85 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 number of simplifiers = 26
% 3.67/3.85
% 3.67/3.85 Learnt:
% 3.67/3.85 #80: exists( #31, #32 ), references = 4, size of lhs = 1:
% 3.67/3.85 #-{F} V0 | pppp13-{T}(V0,V0)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #84: exists( #33, #81 ), references = 4, size of lhs = 2:
% 3.67/3.85 pppp0-{F}(V0), pppp13-{F}(V1,V2) | pppp12-{T}(V0,V1,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #87: exists( #6, #8 ), references = 16, size of lhs = 1:
% 3.67/3.85 r3-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #91: exists( #45, #47 ), references = 1, size of lhs = 1:
% 3.67/3.85 pppp21-{F}(V0) | pppp19-{T}(V0,V0)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #97: exists( #46, #94 ), references = 1, size of lhs = 2:
% 3.67/3.85 pppp19-{F}(V0,V1), r2-{F}(V2,V1) | pppp18-{T}(V1,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #100: exists( #37, #39 ), references = 2, size of lhs = 1:
% 3.67/3.85 pppp16-{F}(V0,V1) | pppp15-{T}(V1,V1)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #106: exists( #38, #102 ), references = 4, size of lhs = 2:
% 3.67/3.85 pppp0-{F}(V0), pppp16-{F}(V1,V2) | pppp14-{T}(V0,V1,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #109: exists( #9, #11 ), references = 5, size of lhs = 1:
% 3.67/3.85 r4-{F}(V0,V1,V2) | pppp3-{T}(V0,V1,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #119: exists( #36, #115 ), references = 4, size of lhs = 2:
% 3.67/3.85 pppp0-{F}(V0), #-{F} V1 | pppp16-{T}(V1,V0)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #123: exists( #44, #49 ), references = 1, size of lhs = 1:
% 3.67/3.85 pppp20-{F}(V0) | pppp17-{T}(V0,V0)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #127: disj( #43, #122+#50+#2 ), references = 1, size of lhs = 3:
% 3.67/3.85 pppp0-{F}(V0), #-{F} V1, V1 == V0 | pppp21-{T}(V1)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #135: exists( #13, #130 ), references = 1, size of lhs = 2:
% 3.67/3.85 r2-{F}(V0,V1), pppp7-{F}(V2,V3,V1) | pppp6-{T}(V2,V3,V1,V0)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #136: exists( #13, #132 ), references = 7, size of lhs = 2:
% 3.67/3.85 pppp7-{F}(V0,V1,V2), pppp2-{F}(V1,V0,V3) | pppp6-{T}(V0,V1,V2,V3)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #146: exists( #3, #5 ), references = 5, size of lhs = 1:
% 3.67/3.85 r2-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #155: exists( #12, #153 ), references = 9, size of lhs = 2:
% 3.67/3.85 pppp1-{F}(V0,V1), pppp2-{F}(V2,V3,V0) | pppp7-{T}(V3,V2,V1)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #160: exists( #14, #17 ), references = 13, size of lhs = 1:
% 3.67/3.85 pppp7-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #173: exists( #18, #170 ), references = 13, size of lhs = 2:
% 3.67/3.85 pppp1-{F}(V0,V1), pppp5-{F}(V0,V2,V3,V4) | pppp4-{T}(V0,V1,V2,V3)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #191: exists( #3, #189 ), references = 8, size of lhs = 3:
% 3.67/3.85 pppp1-{F}(V0,V1), pppp2-{F}(V2,V0,V3), pppp2-{F}(V2,V1,V4) | pppp1-{T}(V3,V4)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #222: exists( #12, #218 ), references = 2, size of lhs = 4:
% 3.67/3.85 r1-{F}(V0), pppp1-{F}(V1,V2), pppp1-{F}(V2,V3), pppp2-{F}(V4,V3,V0) | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #223: exists( #12, #219 ), references = 1, size of lhs = 12:
% 3.67/3.85 pppp0-{F}(V0), r1-{F}(V1), r2-{F}(V1,V2), r2-{F}(V0,V2), r1-{F}(V3), r2-{F}(V3,V2), r1-{F}(V4), r2-{F}(V4,V2), pppp2-{F}(V5,V6,V2), pppp1-{F}(V6,V7), pppp1-{F}(V7,V8), pppp2-{F}(V5,V8,V0) | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #227: exists( #6, #225 ), references = 1, size of lhs = 5:
% 3.67/3.85 r1-{F}(V0), pppp1-{F}(V1,V2), pppp2-{F}(V3,V2,V4), pppp1-{F}(V4,V5), pppp2-{F}(V6,V5,V0) | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #264: exists( #23, #26 ), references = 6, size of lhs = 1:
% 3.67/3.85 pppp11-{F}(V0,V1,V2) | pppp9-{T}(V0,V1,V2,V2)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #302: exists( #22, #300 ), references = 2, size of lhs = 2:
% 3.67/3.85 pppp11-{F}(V0,V1,V2), pppp3-{F}(V1,V0,V3) | pppp10-{T}(V0,V1,V2,V3)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #306: exists( #21, #304 ), references = 5, size of lhs = 2:
% 3.67/3.85 pppp3-{F}(V0,V1,V2), pppp2-{F}(V2,V0,V3) | pppp11-{T}(V1,V0,V3)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #311: exists( #27, #309 ), references = 6, size of lhs = 2:
% 3.67/3.85 pppp1-{F}(V0,V1), pppp9-{F}(V0,V2,V3,V4) | pppp8-{T}(V0,V1,V2,V3)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #359: mergings( V3 == V4; #357 ), references = 1, size of lhs = 13:
% 3.67/3.85 pppp0-{F}(V0), r1-{F}(V1), r2-{F}(V1,V2), pppp1-{F}(V0,V2), pppp2-{F}(V0,V2,V2), r1-{F}(V3), r2-{F}(V3,V2), r1-{F}(V4), r2-{F}(V4,V2), pppp1-{F}(V5,V6), pppp1-{F}(V6,V7), pppp2-{F}(V8,V7,V2), pppp2-{F}(V8,V5,V2) | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #360: exists( #12, #354 ), references = 1, size of lhs = 4:
% 3.67/3.85 pppp1-{F}(V0,V1), pppp1-{F}(V1,V2), pppp2-{F}(V3,V2,V4), r2-{F}(V5,V4) | pppp7-{T}(V0,V3,V5)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #409: exists( #12, #407 ), references = 1, size of lhs = 6:
% 3.67/3.85 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), pppp3-{F}(V1,V2,V4), pppp2-{F}(V4,V0,V5), pppp3-{F}(V1,V3,V6), pppp2-{F}(V7,V8,V5) | pppp7-{T}(V8,V7,V6)
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #494: exists( #21, #492 ), references = 1, size of lhs = 17:
% 3.67/3.85 r1-{F}(V0), r2-{F}(V0,V1), r2-{F}(V1,V2), r2-{F}(V2,V3), r2-{F}(V3,V4), r2-{F}(V4,V5), r1-{F}(V6), r2-{F}(V6,V7), r2-{F}(V7,V8), r2-{F}(V8,V9), pppp1-{F}(V10,V9), r1-{F}(V11), r2-{F}(V11,V12), r2-{F}(V12,V13), pppp1-{F}(V14,V13), pppp3-{F}(V13,V10,V15), pppp2-{F}(V15,V14,V5) | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #504: exists( #12, #502 ), references = 1, size of lhs = 18:
% 3.67/3.85 r1-{F}(V0), r2-{F}(V0,V1), r2-{F}(V1,V2), r2-{F}(V2,V3), r2-{F}(V3,V4), r1-{F}(V5), r2-{F}(V5,V6), r2-{F}(V6,V7), r2-{F}(V7,V8), pppp1-{F}(V9,V8), r1-{F}(V10), r2-{F}(V10,V11), r2-{F}(V11,V12), pppp3-{F}(V12,V9,V13), pppp2-{F}(V13,V14,V4), pppp1-{F}(V14,V15), pppp1-{F}(V15,V12), pppp2-{F}(V16,V17,V4) | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #517: exists( #6, #515 ), references = 1, size of lhs = 19:
% 3.67/3.85 pppp0-{F}(V0), r1-{F}(V1), r2-{F}(V1,V2), r2-{F}(V2,V3), r2-{F}(V3,V4), r1-{F}(V5), r2-{F}(V5,V6), r2-{F}(V6,V7), r2-{F}(V7,V8), r1-{F}(V9), r2-{F}(V9,V10), r2-{F}(V10,V11), pppp1-{F}(V0,V12), pppp1-{F}(V12,V11), pppp1-{F}(V13,V11), pppp1-{F}(V14,V8), pppp1-{F}(V15,V14), pppp3-{F}(V11,V15,V16), pppp2-{F}(V16,V13,V4) | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #527: exists( #12, #525 ), references = 1, size of lhs = 18:
% 3.67/3.85 pppp0-{F}(V0), r1-{F}(V1), r2-{F}(V1,V2), r2-{F}(V2,V3), r1-{F}(V4), r2-{F}(V4,V5), r2-{F}(V5,V3), r1-{F}(V6), r2-{F}(V6,V7), r2-{F}(V7,V8), pppp1-{F}(V0,V9), pppp1-{F}(V9,V8), pppp1-{F}(V10,V3), pppp3-{F}(V8,V10,V11), pppp2-{F}(V11,V12,V3), pppp1-{F}(V12,V13), pppp1-{F}(V13,V8), pppp2-{F}(V14,V15,V3) | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #556: mergings( V2 == V3, V3 == V4, V4 == V5; #552 ), references = 1, size of lhs = 10:
% 3.67/3.85 pppp0-{F}(V0), r1-{F}(V1), r2-{F}(V1,V2), pppp2-{F}(V0,V2,V2), pppp1-{F}(V0,V2), r1-{F}(V3), r2-{F}(V3,V2), r1-{F}(V4), r2-{F}(V4,V2), pppp2-{F}(V5,V2,V2) | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #565: mergings( V2 == V0; #563 ), references = 1, size of lhs = 3:
% 3.67/3.85 pppp0-{F}(V0), pppp2-{F}(V0,V0,V0), r1-{F}(V0) | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 #572: exists( #0, #570 ), references = 1, size of lhs = 0:
% 3.67/3.85 FALSE | FALSE
% 3.67/3.85 (used 0 times, uses = {})
% 3.67/3.85
% 3.67/3.85 number of learnt formulas = 35
% 3.67/3.85
% 3.67/3.85
% 3.67/3.85 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.67/3.85
% 3.67/3.85 randbase = 1
%------------------------------------------------------------------------------