%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 12:06:53 PM UTC 2026
% Result : Theorem 0.09s 0.41s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 4 18:46:53 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.41 GeoParameters:
% 0.09/0.41
% 0.09/0.41 tptp_input = 1
% 0.09/0.41 tptp_output = 0
% 0.09/0.41 nonempty = 1
% 0.09/0.41 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.09/0.41
% 0.09/0.41
% 0.09/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41
% 0.09/0.41 RuleSystem INPUT:
% 0.09/0.41
% 0.09/0.41 Initial Rules:
% 0.09/0.41 #0: input, references = 4, size of lhs = 1:
% 0.09/0.41 #-{F} V0 | r1-{T}(V0,V0)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #1: input, references = 3, size of lhs = 2:
% 0.09/0.41 r1-{F}(V0,V1), r1-{F}(V2,V0) | r1-{T}(V2,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #2: input, references = 4, size of lhs = 0:
% 0.09/0.41 FALSE | EXISTS V0: pppp20-{T}(V0)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #3: input, references = 4, size of lhs = 1:
% 0.09/0.41 pppp20-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #4: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp20-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #5: input, references = 4, size of lhs = 2:
% 0.09/0.41 pppp19-{F}(V0,V1), r1-{F}(V1,V2) | pppp18-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #6: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp19-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #7: input, references = 4, size of lhs = 1:
% 0.09/0.41 pppp18-{F}(V0) | EXISTS V1: pppp17-{T}(V0,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #8: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp18-{F}(V0) | EXISTS V1: pppp15-{T}(V0,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #9: input, references = 4, size of lhs = 3:
% 0.09/0.41 pppp18-{F}(V0), r1-{F}(V0,V1), p1-{F}(V1) | p2-{T}(V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #10: input, references = 4, size of lhs = 3:
% 0.09/0.41 pppp18-{F}(V0), r1-{F}(V0,V1), p2-{F}(V1) | p1-{T}(V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #11: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp18-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #12: input, references = 4, size of lhs = 1:
% 0.09/0.41 pppp17-{F}(V0,V1) | pppp16-{T}(V0,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #13: input, references = 5, size of lhs = 3:
% 0.09/0.41 pppp16-{F}(V0,V1), p2-{F}(V1), p1-{F}(V1) | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #14: input, references = 4, size of lhs = 1:
% 0.09/0.41 pppp16-{F}(V0,V1) | p1-{T}(V1), p2-{T}(V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #15: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp16-{F}(V0,V1), p3-{F}(V1), p2-{F}(V1) | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #16: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp16-{F}(V0,V1) | p2-{T}(V1), p3-{T}(V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #17: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp16-{F}(V0,V1), p4-{F}(V1), p3-{F}(V1) | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #18: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp16-{F}(V0,V1) | p3-{T}(V1), p4-{T}(V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #19: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp16-{F}(V0,V1), p5-{F}(V1), p4-{F}(V1) | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #20: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp16-{F}(V0,V1) | p4-{T}(V1), p5-{T}(V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #21: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp16-{F}(V0,V1), p6-{F}(V1), p5-{F}(V1) | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #22: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp16-{F}(V0,V1) | p5-{T}(V1), p6-{T}(V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #23: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp16-{F}(V0,V1), p7-{F}(V1), p6-{F}(V1) | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #24: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp16-{F}(V0,V1) | p6-{T}(V1), p7-{T}(V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #25: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp16-{F}(V0,V1), p8-{F}(V1), p7-{F}(V1) | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #26: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp16-{F}(V0,V1) | p7-{T}(V1), p8-{T}(V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #27: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp16-{F}(V0,V1), p9-{F}(V1), p8-{F}(V1) | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #28: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp16-{F}(V0,V1) | p8-{T}(V1), p9-{T}(V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #29: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp16-{F}(V0,V1), p10-{F}(V1), p9-{F}(V1) | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #30: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp16-{F}(V0,V1) | p9-{T}(V1), p10-{T}(V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #31: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp16-{F}(V0,V1), p11-{F}(V1), p10-{F}(V1) | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #32: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp16-{F}(V0,V1) | p10-{T}(V1), p11-{T}(V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #33: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp16-{F}(V0,V1), p12-{F}(V1), p11-{F}(V1) | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #34: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp16-{F}(V0,V1) | p11-{T}(V1), p12-{T}(V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #35: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp16-{F}(V0,V1), p13-{F}(V1), p12-{F}(V1) | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #36: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp16-{F}(V0,V1) | p12-{T}(V1), p13-{T}(V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #37: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp16-{F}(V0,V1), p14-{F}(V1), p13-{F}(V1) | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #38: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp16-{F}(V0,V1) | p13-{T}(V1), p14-{T}(V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #39: input, references = 4, size of lhs = 1:
% 0.09/0.41 pppp16-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #40: input, references = 3, size of lhs = 2:
% 0.09/0.41 pppp15-{F}(V0,V1), p15-{F}(V1) | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #41: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp15-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #42: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp14-{F}(V0,V1), r1-{F}(V1,V2), p2-{F}(V2) | p3-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #43: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp14-{F}(V0,V1), r1-{F}(V1,V2), p3-{F}(V2) | p2-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #44: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V2,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #45: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp14-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #46: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp13-{F}(V0,V1), r1-{F}(V0,V2), p3-{F}(V2) | p4-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #47: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp13-{F}(V0,V1), r1-{F}(V0,V2), p4-{F}(V2) | p3-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #48: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #49: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp13-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #50: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp12-{F}(V0,V1), r1-{F}(V1,V2), p4-{F}(V2) | p5-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #51: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp12-{F}(V0,V1), r1-{F}(V1,V2), p5-{F}(V2) | p4-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #52: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp12-{F}(V0,V1) | EXISTS V2: pppp11-{T}(V2,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #53: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp12-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #54: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp11-{F}(V0,V1), r1-{F}(V0,V2), p5-{F}(V2) | p6-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #55: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp11-{F}(V0,V1), r1-{F}(V0,V2), p6-{F}(V2) | p5-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #56: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp11-{F}(V0,V1) | EXISTS V2: pppp10-{T}(V0,V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #57: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp11-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #58: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp10-{F}(V0,V1), r1-{F}(V1,V2), p6-{F}(V2) | p7-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #59: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp10-{F}(V0,V1), r1-{F}(V1,V2), p7-{F}(V2) | p6-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #60: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V2,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #61: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp10-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #62: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp9-{F}(V0,V1), r1-{F}(V0,V2), p7-{F}(V2) | p8-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #63: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp9-{F}(V0,V1), r1-{F}(V0,V2), p8-{F}(V2) | p7-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #64: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp9-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #65: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp9-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #66: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp8-{F}(V0,V1), r1-{F}(V1,V2), p8-{F}(V2) | p9-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #67: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp8-{F}(V0,V1), r1-{F}(V1,V2), p9-{F}(V2) | p8-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #68: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp8-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V2,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #69: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp8-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #70: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp7-{F}(V0,V1), r1-{F}(V0,V2), p9-{F}(V2) | p10-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #71: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp7-{F}(V0,V1), r1-{F}(V0,V2), p10-{F}(V2) | p9-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #72: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #73: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp7-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #74: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp6-{F}(V0,V1), r1-{F}(V1,V2), p10-{F}(V2) | p11-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #75: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp6-{F}(V0,V1), r1-{F}(V1,V2), p11-{F}(V2) | p10-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #76: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp6-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V2,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #77: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp6-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #78: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp5-{F}(V0,V1), r1-{F}(V0,V2), p11-{F}(V2) | p12-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #79: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp5-{F}(V0,V1), r1-{F}(V0,V2), p12-{F}(V2) | p11-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #80: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #81: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp5-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #82: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp4-{F}(V0,V1), r1-{F}(V1,V2), p12-{F}(V2) | p13-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #83: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp4-{F}(V0,V1), r1-{F}(V1,V2), p13-{F}(V2) | p12-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #84: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp4-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V2,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #85: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp4-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #86: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp3-{F}(V0,V1), r1-{F}(V0,V2), p13-{F}(V2) | p14-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #87: input, references = 3, size of lhs = 3:
% 0.09/0.41 pppp3-{F}(V0,V1), r1-{F}(V0,V2), p14-{F}(V2) | p13-{T}(V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #88: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V2)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #89: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp3-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #90: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp2-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #91: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #92: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp1-{F}(V0,V1) | p15-{T}(V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #93: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp1-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #94: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp0-{F}(V0,V1) | p1-{T}(V0)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #95: input, references = 3, size of lhs = 1:
% 0.09/0.41 pppp0-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 number of initial rules = 96
% 0.09/0.41
% 0.09/0.41 Simplifiers:
% 0.09/0.41 #96: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp0-{F}(V0,V1), pppp0-{F}(V2,V1), V0 == V2 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #97: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #98: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #99: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #100: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #101: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #102: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #103: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #104: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #105: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #106: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #107: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #108: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #109: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #110: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #111: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #112: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #113: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #114: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp17-{F}(V0,V1), pppp17-{F}(V0,V3), V1 == V3 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #115: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #116: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp19-{F}(V0,V1), pppp19-{F}(V2,V3), V0 == V2 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #117: unsound, references = 3, size of lhs = 3:
% 0.09/0.41 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 number of simplifiers = 22
% 0.09/0.41
% 0.09/0.41 Learnt:
% 0.09/0.41 #120: disj( #14, #9+#13 ), references = 1, size of lhs = 4:
% 0.09/0.41 pppp18-{F}(V0), r1-{F}(V0,V1), pppp16-{F}(V2,V1), pppp16-{F}(V3,V1) | p2-{T}(V1)
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #126: exists( #7, #124 ), references = 2, size of lhs = 1:
% 0.09/0.41 pppp18-{F}(V0) | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #131: exists( #3, #129 ), references = 1, size of lhs = 1:
% 0.09/0.41 pppp20-{F}(V0) | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 #133: exists( #2, #130 ), references = 1, size of lhs = 0:
% 0.09/0.41 FALSE | FALSE
% 0.09/0.41 (used 0 times, uses = {})
% 0.09/0.41
% 0.09/0.41 number of learnt formulas = 4
% 0.09/0.41
% 0.09/0.41
% 0.09/0.41 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41
% 0.09/0.41 randbase = 1
%------------------------------------------------------------------------------