%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL652+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:06:37 PM UTC 2026
% Result : Theorem 2.66s 2.97s
% Output : Refutation 2.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL652+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.09/0.35 % Computer : n017.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 12:43:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 2.66/2.97 GeoParameters:
% 2.66/2.97
% 2.66/2.97 tptp_input = 1
% 2.66/2.97 tptp_output = 0
% 2.66/2.97 nonempty = 1
% 2.66/2.97 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/2.97 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.66/2.97
% 2.66/2.97
% 2.66/2.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/2.97 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/2.97
% 2.66/2.97 RuleSystem INPUT:
% 2.66/2.97
% 2.66/2.97 Initial Rules:
% 2.66/2.97 #0: input, references = 4, size of lhs = 0:
% 2.66/2.97 FALSE | EXISTS V0: pppp25-{T}(V0)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #1: input, references = 4, size of lhs = 1:
% 2.66/2.97 pppp25-{F}(V0) | pppp24-{T}(V0)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #2: input, references = 3, size of lhs = 5:
% 2.66/2.97 pppp24-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p1-{F}(V3) | EXISTS V4: pppp23-{T}(V4,V1)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #3: input, references = 4, size of lhs = 1:
% 2.66/2.97 pppp24-{F}(V0) | EXISTS V1: pppp22-{T}(V0,V1)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #4: input, references = 3, size of lhs = 1:
% 2.66/2.97 pppp24-{F}(V0) | EXISTS V1: pppp20-{T}(V0,V1)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #5: input, references = 6, size of lhs = 4:
% 2.66/2.97 pppp24-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3) | p1-{T}(V3), pppp26-{T}(V1)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #6: input, references = 4, size of lhs = 1:
% 2.66/2.97 pppp26-{F}(V0) | EXISTS V1: pppp17-{T}(V1,V0)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #7: input, references = 6, size of lhs = 2:
% 2.66/2.97 pppp24-{F}(V0), r1-{F}(V0,V1) | pppp16-{T}(V1)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #8: input, references = 3, size of lhs = 4:
% 2.66/2.97 pppp24-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3) | pppp27-{T}(V3), pppp28-{T}(V1)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #9: input, references = 3, size of lhs = 1:
% 2.66/2.97 pppp27-{F}(V0) | EXISTS V1: pppp0-{T}(V1,V0)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #10: input, references = 3, size of lhs = 1:
% 2.66/2.97 pppp28-{F}(V0) | EXISTS V1: pppp1-{T}(V1,V0)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #11: input, references = 3, size of lhs = 3:
% 2.66/2.97 pppp24-{F}(V0), r1-{F}(V0,V1), p4-{F}(V1) | FALSE
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #12: input, references = 3, size of lhs = 1:
% 2.66/2.97 pppp23-{F}(V0,V1) | p1-{T}(V0)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #13: input, references = 3, size of lhs = 1:
% 2.66/2.97 pppp23-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #14: input, references = 5, size of lhs = 2:
% 2.66/2.97 pppp22-{F}(V0,V1), r1-{F}(V1,V2) | EXISTS V3: pppp21-{T}(V2,V3)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #15: input, references = 4, size of lhs = 1:
% 2.66/2.97 pppp22-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #16: input, references = 3, size of lhs = 2:
% 2.66/2.97 pppp21-{F}(V0,V1), p2-{F}(V1) | FALSE
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #17: input, references = 5, size of lhs = 1:
% 2.66/2.97 pppp21-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #18: input, references = 3, size of lhs = 1:
% 2.66/2.97 pppp20-{F}(V0,V1) | EXISTS V2: pppp19-{T}(V2,V1)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #19: input, references = 3, size of lhs = 1:
% 2.66/2.97 pppp20-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V2,V1)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #20: input, references = 3, size of lhs = 1:
% 2.66/2.97 pppp20-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #21: input, references = 3, size of lhs = 2:
% 2.66/2.97 pppp19-{F}(V0,V1), p1-{F}(V0) | FALSE
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #22: input, references = 3, size of lhs = 1:
% 2.66/2.97 pppp19-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #23: input, references = 4, size of lhs = 2:
% 2.66/2.97 pppp18-{F}(V0,V1), r1-{F}(V0,V2) | p1-{T}(V2)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #24: input, references = 3, size of lhs = 1:
% 2.66/2.97 pppp18-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #25: input, references = 4, size of lhs = 2:
% 2.66/2.97 pppp17-{F}(V0,V1), p1-{F}(V0) | FALSE
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #26: input, references = 4, size of lhs = 1:
% 2.66/2.97 pppp17-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #27: input, references = 4, size of lhs = 1:
% 2.66/2.97 pppp16-{F}(V0) | pppp29-{T}(V0), pppp30-{T}(V0)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.97
% 2.66/2.97 #28: input, references = 6, size of lhs = 1:
% 2.66/2.97 pppp29-{F}(V0) | EXISTS V1: pppp14-{T}(V1,V0)
% 2.66/2.97 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #29: input, references = 4, size of lhs = 1:
% 2.66/2.98 pppp30-{F}(V0) | EXISTS V1: pppp15-{T}(V1,V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #30: input, references = 5, size of lhs = 2:
% 2.66/2.98 pppp16-{F}(V0), r1-{F}(V0,V1) | pppp31-{T}(V1), pppp32-{T}(V1)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #31: input, references = 6, size of lhs = 1:
% 2.66/2.98 pppp31-{F}(V0) | EXISTS V1: pppp9-{T}(V0,V1)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #32: input, references = 5, size of lhs = 1:
% 2.66/2.98 pppp32-{F}(V0) | EXISTS V1: pppp12-{T}(V0,V1)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #33: input, references = 5, size of lhs = 3:
% 2.66/2.98 pppp16-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2) | pppp33-{T}(V2), pppp34-{T}(V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #34: input, references = 4, size of lhs = 1:
% 2.66/2.98 pppp33-{F}(V0) | EXISTS V1: pppp7-{T}(V1,V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #35: input, references = 5, size of lhs = 1:
% 2.66/2.98 pppp34-{F}(V0) | EXISTS V1: pppp8-{T}(V1,V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #36: input, references = 5, size of lhs = 5:
% 2.66/2.98 pppp16-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), p2-{F}(V1), r1-{F}(V1,V3) | p2-{T}(V2), pppp35-{T}(V3)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #37: input, references = 5, size of lhs = 1:
% 2.66/2.98 pppp35-{F}(V0) | EXISTS V1: pppp5-{T}(V1,V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #38: input, references = 3, size of lhs = 5:
% 2.66/2.98 pppp16-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), p2-{F}(V1), r1-{F}(V1,V3) | pppp36-{T}(V2), pppp37-{T}(V3)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #39: input, references = 3, size of lhs = 1:
% 2.66/2.98 pppp36-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #40: input, references = 3, size of lhs = 1:
% 2.66/2.98 pppp37-{F}(V0) | EXISTS V1: pppp5-{T}(V1,V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #41: input, references = 6, size of lhs = 2:
% 2.66/2.98 pppp16-{F}(V0), r1-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V1,V2)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #42: input, references = 4, size of lhs = 3:
% 2.66/2.98 pppp15-{F}(V0,V1), r1-{F}(V0,V2), p2-{F}(V2) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #43: input, references = 4, size of lhs = 1:
% 2.66/2.98 pppp15-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #44: input, references = 6, size of lhs = 1:
% 2.66/2.98 pppp14-{F}(V0,V1) | p2-{T}(V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #45: input, references = 3, size of lhs = 1:
% 2.66/2.98 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #46: input, references = 6, size of lhs = 1:
% 2.66/2.98 pppp14-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #47: input, references = 3, size of lhs = 2:
% 2.66/2.98 pppp13-{F}(V0,V1), p3-{F}(V1) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #48: input, references = 3, size of lhs = 1:
% 2.66/2.98 pppp13-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #49: input, references = 5, size of lhs = 2:
% 2.66/2.98 pppp12-{F}(V0,V1), r1-{F}(V1,V2) | EXISTS V3: pppp11-{T}(V2,V3)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #50: input, references = 5, size of lhs = 1:
% 2.66/2.98 pppp12-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #51: input, references = 5, size of lhs = 1:
% 2.66/2.98 pppp11-{F}(V0,V1) | p2-{T}(V1)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #52: input, references = 3, size of lhs = 1:
% 2.66/2.98 pppp11-{F}(V0,V1) | EXISTS V2: pppp10-{T}(V2,V1)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #53: input, references = 5, size of lhs = 1:
% 2.66/2.98 pppp11-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #54: input, references = 3, size of lhs = 2:
% 2.66/2.98 pppp10-{F}(V0,V1), p3-{F}(V0) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #55: input, references = 3, size of lhs = 1:
% 2.66/2.98 pppp10-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #56: input, references = 6, size of lhs = 3:
% 2.66/2.98 pppp9-{F}(V0,V1), r1-{F}(V1,V2), p2-{F}(V2) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #57: input, references = 6, size of lhs = 1:
% 2.66/2.98 pppp9-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #58: input, references = 5, size of lhs = 3:
% 2.66/2.98 pppp8-{F}(V0,V1), r1-{F}(V0,V2), p2-{F}(V2) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #59: input, references = 5, size of lhs = 1:
% 2.66/2.98 pppp8-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #60: input, references = 4, size of lhs = 1:
% 2.66/2.98 pppp7-{F}(V0,V1) | p2-{T}(V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #61: input, references = 3, size of lhs = 1:
% 2.66/2.98 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V2)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #62: input, references = 4, size of lhs = 1:
% 2.66/2.98 pppp7-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #63: input, references = 3, size of lhs = 2:
% 2.66/2.98 pppp6-{F}(V0,V1), p3-{F}(V1) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #64: input, references = 3, size of lhs = 1:
% 2.66/2.98 pppp6-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #65: input, references = 5, size of lhs = 3:
% 2.66/2.98 pppp5-{F}(V0,V1), r1-{F}(V0,V2), p2-{F}(V2) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #66: input, references = 5, size of lhs = 1:
% 2.66/2.98 pppp5-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #67: input, references = 3, size of lhs = 2:
% 2.66/2.98 pppp4-{F}(V0,V1), p3-{F}(V0) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #68: input, references = 3, size of lhs = 1:
% 2.66/2.98 pppp4-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #69: input, references = 7, size of lhs = 1:
% 2.66/2.98 pppp3-{F}(V0,V1) | p2-{T}(V1)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #70: input, references = 3, size of lhs = 1:
% 2.66/2.98 pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V2,V1)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #71: input, references = 7, size of lhs = 1:
% 2.66/2.98 pppp3-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #72: input, references = 3, size of lhs = 2:
% 2.66/2.98 pppp2-{F}(V0,V1), p3-{F}(V0) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #73: input, references = 3, size of lhs = 1:
% 2.66/2.98 pppp2-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #74: input, references = 3, size of lhs = 3:
% 2.66/2.98 pppp1-{F}(V0,V1), r1-{F}(V0,V2), p1-{F}(V2) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #75: input, references = 3, size of lhs = 1:
% 2.66/2.98 pppp1-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #76: input, references = 3, size of lhs = 1:
% 2.66/2.98 pppp0-{F}(V0,V1) | p1-{T}(V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #77: input, references = 3, size of lhs = 1:
% 2.66/2.98 pppp0-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 number of initial rules = 78
% 2.66/2.98
% 2.66/2.98 Simplifiers:
% 2.66/2.98 #78: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp0-{F}(V0,V1), pppp0-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #79: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp1-{F}(V0,V1), pppp1-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #80: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #81: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #82: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #83: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #84: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #85: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #86: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #87: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #88: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #89: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #90: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #91: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #92: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #93: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp15-{F}(V0,V1), pppp15-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #94: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #95: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp18-{F}(V0,V1), pppp18-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #96: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp19-{F}(V0,V1), pppp19-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #97: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp20-{F}(V0,V1), pppp20-{F}(V0,V3), V1 == V3 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #98: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp20-{F}(V0,V1), pppp20-{F}(V2,V3), V0 == V2 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #99: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp21-{F}(V0,V1), pppp21-{F}(V0,V3), V1 == V3 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #100: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp22-{F}(V0,V1), pppp22-{F}(V0,V3), V1 == V3 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #101: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp22-{F}(V0,V1), pppp22-{F}(V2,V3), V0 == V2 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #102: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp23-{F}(V0,V1), pppp23-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #103: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp24-{F}(V0), pppp24-{F}(V1), V0 == V1 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #104: unsound, references = 3, size of lhs = 3:
% 2.66/2.98 pppp25-{F}(V0), pppp25-{F}(V1), V0 == V1 | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 number of simplifiers = 27
% 2.66/2.98
% 2.66/2.98 Learnt:
% 2.66/2.98 #108: disj( #5, input ), references = 1, size of lhs = 5:
% 2.66/2.98 pppp24-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), pppp19-{F}(V3,V4) | pppp26-{T}(V1)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #115: exists( #41, #113 ), references = 2, size of lhs = 3:
% 2.66/2.98 pppp16-{F}(V0), r1-{F}(V0,V1), pppp9-{F}(V2,V1) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #118: exists( #31, #116 ), references = 1, size of lhs = 2:
% 2.66/2.98 pppp31-{F}(V0), pppp16-{F}(V0) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #120: disj( #30, exists( #31, #116 ) ), references = 2, size of lhs = 3:
% 2.66/2.98 pppp16-{F}(V0), r1-{F}(V0,V1), pppp16-{F}(V1) | pppp32-{T}(V1)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #135: disj( #36, input ), references = 3, size of lhs = 6:
% 2.66/2.98 pppp16-{F}(V0), r1-{F}(V0,V1), p2-{F}(V1), r1-{F}(V1,V2), r1-{F}(V1,V3), pppp21-{F}(V4,V2) | pppp35-{T}(V3)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #163: exists( #41, #159 ), references = 2, size of lhs = 3:
% 2.66/2.98 pppp16-{F}(V0), r1-{F}(V0,V1), pppp15-{F}(V1,V2) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #164: exists( #41, #160 ), references = 2, size of lhs = 3:
% 2.66/2.98 pppp16-{F}(V0), r1-{F}(V0,V1), pppp5-{F}(V1,V2) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #167: exists( #29, #165 ), references = 1, size of lhs = 2:
% 2.66/2.98 pppp30-{F}(V0), pppp16-{F}(V0) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #169: disj( #27, exists( #29, #165 ) ), references = 3, size of lhs = 1:
% 2.66/2.98 pppp16-{F}(V0) | pppp29-{T}(V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #176: exists( #28, #174 ), references = 2, size of lhs = 2:
% 2.66/2.98 pppp29-{F}(V0), pppp8-{F}(V0,V1) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #181: exists( #35, #179 ), references = 1, size of lhs = 2:
% 2.66/2.98 pppp34-{F}(V0), pppp24-{F}(V0) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #183: disj( #33, exists( #35, #179 ) ), references = 1, size of lhs = 4:
% 2.66/2.98 pppp16-{F}(V0), pppp24-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2) | pppp33-{T}(V2)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #190: exists( #37, #188 ), references = 1, size of lhs = 2:
% 2.66/2.98 pppp35-{F}(V0), pppp16-{F}(V0) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #194: exists( #14, #192 ), references = 1, size of lhs = 7:
% 2.66/2.98 pppp16-{F}(V0), r1-{F}(V0,V1), p2-{F}(V1), r1-{F}(V1,V2), pppp16-{F}(V2), r1-{F}(V3,V1), pppp22-{F}(V4,V3) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #248: disj( #5, input ), references = 1, size of lhs = 5:
% 2.66/2.98 pppp24-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), pppp17-{F}(V3,V4) | pppp26-{T}(V1)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #285: exists( #6, #282 ), references = 1, size of lhs = 2:
% 2.66/2.98 pppp26-{F}(V0), pppp18-{F}(V0,V1) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #337: exists( #49, #333 ), references = 1, size of lhs = 3:
% 2.66/2.98 pppp12-{F}(V0,V1), r1-{F}(V1,V2), pppp5-{F}(V2,V3) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #340: exists( #37, #338 ), references = 2, size of lhs = 2:
% 2.66/2.98 pppp35-{F}(V0), pppp12-{F}(V1,V0) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #346: exists( #14, #344 ), references = 2, size of lhs = 7:
% 2.66/2.98 pppp16-{F}(V0), r1-{F}(V0,V1), p2-{F}(V1), r1-{F}(V1,V2), pppp12-{F}(V3,V2), r1-{F}(V4,V1), pppp22-{F}(V5,V4) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #349: exists( #32, #347 ), references = 1, size of lhs = 6:
% 2.66/2.98 pppp32-{F}(V0), p2-{F}(V0), pppp16-{F}(V1), r1-{F}(V1,V0), r1-{F}(V2,V0), pppp22-{F}(V3,V2) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #355: exists( #28, #353 ), references = 1, size of lhs = 4:
% 2.66/2.98 pppp29-{F}(V0), pppp24-{F}(V0), pppp16-{F}(V0), pppp22-{F}(V1,V0) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #376: disj( #30, exists( #32, #347 ) ), references = 2, size of lhs = 7:
% 2.66/2.98 pppp16-{F}(V0), r1-{F}(V0,V1), p2-{F}(V1), pppp16-{F}(V2), r1-{F}(V2,V1), r1-{F}(V3,V1), pppp22-{F}(V4,V3) | pppp31-{T}(V1)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #429: exists( #49, #427 ), references = 1, size of lhs = 3:
% 2.66/2.98 pppp12-{F}(V0,V1), r1-{F}(V1,V2), pppp9-{F}(V3,V2) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #432: exists( #31, #430 ), references = 2, size of lhs = 2:
% 2.66/2.98 pppp31-{F}(V0), pppp12-{F}(V1,V0) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #466: disj( #36, exists( #37, #338 ) ), references = 1, size of lhs = 6:
% 2.66/2.98 pppp16-{F}(V0), r1-{F}(V0,V1), p2-{F}(V1), r1-{F}(V1,V2), r1-{F}(V1,V3), pppp12-{F}(V4,V3) | p2-{T}(V2)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #467: disj( #36, exists( #37, #188 ) ), references = 1, size of lhs = 6:
% 2.66/2.98 pppp16-{F}(V0), r1-{F}(V0,V1), p2-{F}(V1), r1-{F}(V1,V2), r1-{F}(V1,V3), pppp16-{F}(V3) | p2-{T}(V2)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #472: exists( #32, #470 ), references = 1, size of lhs = 6:
% 2.66/2.98 pppp32-{F}(V0), p2-{F}(V0), pppp16-{F}(V0), pppp16-{F}(V1), r1-{F}(V1,V0), pppp22-{F}(V2,V0) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #567: disj( #5, exists( #6, #282 ) ), references = 1, size of lhs = 5:
% 2.66/2.98 pppp24-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), pppp18-{F}(V1,V4) | p1-{T}(V3)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #665: exists( #34, #663 ), references = 1, size of lhs = 2:
% 2.66/2.98 pppp33-{F}(V0), pppp9-{F}(V1,V0) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #667: disj( #33, exists( #34, #663 ) ), references = 1, size of lhs = 4:
% 2.66/2.98 pppp16-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp9-{F}(V3,V2) | pppp34-{T}(V0)
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #813: exists( #41, #809 ), references = 1, size of lhs = 3:
% 2.66/2.98 pppp16-{F}(V0), r1-{F}(V0,V1), pppp8-{F}(V1,V2) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #816: exists( #35, #814 ), references = 1, size of lhs = 2:
% 2.66/2.98 pppp34-{F}(V0), pppp16-{F}(V0) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #820: exists( #31, #818 ), references = 1, size of lhs = 3:
% 2.66/2.98 pppp31-{F}(V0), pppp16-{F}(V1), r1-{F}(V1,V0) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #825: exists( #28, #823 ), references = 1, size of lhs = 3:
% 2.66/2.98 pppp29-{F}(V0), pppp16-{F}(V0), pppp22-{F}(V1,V0) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #830: exists( #3, #828 ), references = 1, size of lhs = 1:
% 2.66/2.98 pppp24-{F}(V0) | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 #833: exists( #0, #831 ), references = 1, size of lhs = 0:
% 2.66/2.98 FALSE | FALSE
% 2.66/2.98 (used 0 times, uses = {})
% 2.66/2.98
% 2.66/2.98 number of learnt formulas = 36
% 2.66/2.98
% 2.66/2.98
% 2.66/2.98 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/2.98
% 2.66/2.98 randbase = 1
%------------------------------------------------------------------------------