%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL656+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n031.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 12:06:39 PM UTC 2026
% Result : Theorem 0.13s 0.44s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL656+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.10/0.36 % Computer : n031.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 17:28:40 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.44 GeoParameters:
% 0.13/0.44
% 0.13/0.44 tptp_input = 1
% 0.13/0.44 tptp_output = 0
% 0.13/0.44 nonempty = 1
% 0.13/0.44 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.44 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.13/0.44
% 0.13/0.44
% 0.13/0.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.44 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.44
% 0.13/0.44 RuleSystem INPUT:
% 0.13/0.44
% 0.13/0.44 Initial Rules:
% 0.13/0.44 #0: input, references = 5, size of lhs = 1:
% 0.13/0.44 #-{F} V0 | r1-{T}(V0,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #1: input, references = 4, size of lhs = 0:
% 0.13/0.44 FALSE | EXISTS V0: pppp11-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #2: input, references = 4, size of lhs = 1:
% 0.13/0.44 pppp11-{F}(V0) | p100-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #3: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp11-{F}(V0), p101-{F}(V0) | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #4: input, references = 5, size of lhs = 6:
% 0.13/0.44 pppp11-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5) | pppp10-{T}(V5)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #5: input, references = 4, size of lhs = 6:
% 0.13/0.44 pppp11-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5) | p3-{T}(V5)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #6: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp10-{F}(V0), p101-{F}(V0) | p100-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #7: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp10-{F}(V0), p102-{F}(V0) | p101-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #8: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp10-{F}(V0), p103-{F}(V0) | p102-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #9: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp10-{F}(V0), p104-{F}(V0) | p103-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #10: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp10-{F}(V0), p105-{F}(V0) | p104-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #11: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp10-{F}(V0), p106-{F}(V0) | p105-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #12: input, references = 3, size of lhs = 5:
% 0.13/0.44 pppp10-{F}(V0), r1-{F}(V0,V1), p100-{F}(V1), p1-{F}(V0), p100-{F}(V0) | p1-{T}(V1)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #13: input, references = 3, size of lhs = 5:
% 0.13/0.44 pppp10-{F}(V0), r1-{F}(V0,V1), p1-{F}(V1), p100-{F}(V1), p100-{F}(V0) | p1-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #14: input, references = 3, size of lhs = 5:
% 0.13/0.44 pppp10-{F}(V0), r1-{F}(V0,V1), p101-{F}(V1), p2-{F}(V0), p101-{F}(V0) | p2-{T}(V1)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #15: input, references = 3, size of lhs = 5:
% 0.13/0.44 pppp10-{F}(V0), r1-{F}(V0,V1), p2-{F}(V1), p101-{F}(V1), p101-{F}(V0) | p2-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #16: input, references = 3, size of lhs = 5:
% 0.13/0.44 pppp10-{F}(V0), r1-{F}(V0,V1), p102-{F}(V1), p3-{F}(V0), p102-{F}(V0) | p3-{T}(V1)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #17: input, references = 3, size of lhs = 5:
% 0.13/0.44 pppp10-{F}(V0), r1-{F}(V0,V1), p3-{F}(V1), p102-{F}(V1), p102-{F}(V0) | p3-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #18: input, references = 3, size of lhs = 5:
% 0.13/0.44 pppp10-{F}(V0), r1-{F}(V0,V1), p103-{F}(V1), p4-{F}(V0), p103-{F}(V0) | p4-{T}(V1)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #19: input, references = 3, size of lhs = 5:
% 0.13/0.44 pppp10-{F}(V0), r1-{F}(V0,V1), p4-{F}(V1), p103-{F}(V1), p103-{F}(V0) | p4-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #20: input, references = 3, size of lhs = 5:
% 0.13/0.44 pppp10-{F}(V0), r1-{F}(V0,V1), p104-{F}(V1), p5-{F}(V0), p104-{F}(V0) | p5-{T}(V1)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #21: input, references = 3, size of lhs = 5:
% 0.13/0.44 pppp10-{F}(V0), r1-{F}(V0,V1), p5-{F}(V1), p104-{F}(V1), p104-{F}(V0) | p5-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #22: input, references = 3, size of lhs = 5:
% 0.13/0.44 pppp10-{F}(V0), r1-{F}(V0,V1), p105-{F}(V1), p6-{F}(V0), p105-{F}(V0) | p6-{T}(V1)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #23: input, references = 3, size of lhs = 5:
% 0.13/0.44 pppp10-{F}(V0), r1-{F}(V0,V1), p6-{F}(V1), p105-{F}(V1), p105-{F}(V0) | p6-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #24: input, references = 4, size of lhs = 2:
% 0.13/0.44 pppp10-{F}(V0), p100-{F}(V0) | pppp12-{T}(V0), p101-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #25: input, references = 4, size of lhs = 1:
% 0.13/0.44 pppp12-{F}(V0) | EXISTS V1: pppp9-{T}(V1,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #26: input, references = 4, size of lhs = 2:
% 0.13/0.44 pppp10-{F}(V0), p100-{F}(V0) | pppp13-{T}(V0), p101-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #27: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp13-{F}(V0) | EXISTS V1: pppp8-{T}(V1,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #28: input, references = 4, size of lhs = 2:
% 0.13/0.44 pppp10-{F}(V0), p101-{F}(V0) | pppp14-{T}(V0), p102-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #29: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp14-{F}(V0) | EXISTS V1: pppp7-{T}(V1,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #30: input, references = 4, size of lhs = 2:
% 0.13/0.44 pppp10-{F}(V0), p101-{F}(V0) | pppp15-{T}(V0), p102-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #31: input, references = 4, size of lhs = 1:
% 0.13/0.44 pppp15-{F}(V0) | EXISTS V1: pppp6-{T}(V1,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #32: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp10-{F}(V0), p102-{F}(V0) | pppp16-{T}(V0), p103-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #33: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp16-{F}(V0) | EXISTS V1: pppp5-{T}(V1,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #34: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp10-{F}(V0), p102-{F}(V0) | pppp17-{T}(V0), p103-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #35: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp17-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #36: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp10-{F}(V0), p103-{F}(V0) | pppp18-{T}(V0), p104-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #37: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp18-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #38: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp10-{F}(V0), p103-{F}(V0) | pppp19-{T}(V0), p104-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #39: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp19-{F}(V0) | EXISTS V1: pppp2-{T}(V1,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #40: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp10-{F}(V0), p104-{F}(V0) | pppp20-{T}(V0), p105-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #41: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp20-{F}(V0) | EXISTS V1: pppp1-{T}(V1,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #42: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp10-{F}(V0), p104-{F}(V0) | pppp21-{T}(V0), p105-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #43: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp21-{F}(V0) | EXISTS V1: pppp0-{T}(V1,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #44: input, references = 4, size of lhs = 1:
% 0.13/0.44 pppp9-{F}(V0,V1) | p101-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #45: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp9-{F}(V0,V1), p102-{F}(V0) | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #46: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp9-{F}(V0,V1) | p2-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #47: input, references = 4, size of lhs = 1:
% 0.13/0.44 pppp9-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #48: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp8-{F}(V0,V1) | p101-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #49: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp8-{F}(V0,V1), p102-{F}(V0) | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #50: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp8-{F}(V0,V1), p2-{F}(V0) | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #51: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp8-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #52: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp7-{F}(V0,V1) | p102-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #53: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp7-{F}(V0,V1), p103-{F}(V0) | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #54: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp7-{F}(V0,V1) | p3-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #55: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp7-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #56: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp6-{F}(V0,V1) | p102-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #57: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp6-{F}(V0,V1), p103-{F}(V0) | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #58: input, references = 4, size of lhs = 2:
% 0.13/0.44 pppp6-{F}(V0,V1), p3-{F}(V0) | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #59: input, references = 4, size of lhs = 1:
% 0.13/0.44 pppp6-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #60: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp5-{F}(V0,V1) | p103-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #61: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp5-{F}(V0,V1), p104-{F}(V0) | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #62: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp5-{F}(V0,V1) | p4-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #63: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp5-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #64: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp4-{F}(V0,V1) | p103-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #65: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp4-{F}(V0,V1), p104-{F}(V0) | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #66: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp4-{F}(V0,V1), p4-{F}(V0) | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #67: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp4-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #68: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp3-{F}(V0,V1) | p104-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #69: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp3-{F}(V0,V1), p105-{F}(V0) | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #70: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp3-{F}(V0,V1) | p5-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #71: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp3-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #72: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp2-{F}(V0,V1) | p104-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #73: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp2-{F}(V0,V1), p105-{F}(V0) | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #74: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp2-{F}(V0,V1), p5-{F}(V0) | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #75: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp2-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #76: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp1-{F}(V0,V1) | p105-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #77: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp1-{F}(V0,V1), p106-{F}(V0) | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #78: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp1-{F}(V0,V1) | p6-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #79: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp1-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #80: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp0-{F}(V0,V1) | p105-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #81: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp0-{F}(V0,V1), p106-{F}(V0) | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #82: input, references = 3, size of lhs = 2:
% 0.13/0.44 pppp0-{F}(V0,V1), p6-{F}(V0) | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #83: input, references = 3, size of lhs = 1:
% 0.13/0.44 pppp0-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 number of initial rules = 84
% 0.13/0.44
% 0.13/0.44 Simplifiers:
% 0.13/0.44 #84: unsound, references = 3, size of lhs = 3:
% 0.13/0.44 pppp0-{F}(V0,V1), pppp0-{F}(V2,V1), V0 == V2 | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #85: unsound, references = 3, size of lhs = 3:
% 0.13/0.44 pppp1-{F}(V0,V1), pppp1-{F}(V2,V1), V0 == V2 | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #86: unsound, references = 3, size of lhs = 3:
% 0.13/0.44 pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), V0 == V2 | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #87: unsound, references = 3, size of lhs = 3:
% 0.13/0.44 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #88: unsound, references = 3, size of lhs = 3:
% 0.13/0.44 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #89: unsound, references = 3, size of lhs = 3:
% 0.13/0.44 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #90: unsound, references = 3, size of lhs = 3:
% 0.13/0.44 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #91: unsound, references = 3, size of lhs = 3:
% 0.13/0.44 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #92: unsound, references = 3, size of lhs = 3:
% 0.13/0.44 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #93: unsound, references = 3, size of lhs = 3:
% 0.13/0.44 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #94: unsound, references = 3, size of lhs = 3:
% 0.13/0.44 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 number of simplifiers = 11
% 0.13/0.44
% 0.13/0.44 Learnt:
% 0.13/0.44 #96: disj( #24, input ), references = 1, size of lhs = 3:
% 0.13/0.44 pppp10-{F}(V0), p100-{F}(V0), pppp11-{F}(V0) | pppp12-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #98: disj( #26, input ), references = 1, size of lhs = 3:
% 0.13/0.44 pppp10-{F}(V0), p100-{F}(V0), pppp11-{F}(V0) | pppp13-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #100: disj( #28, input ), references = 1, size of lhs = 3:
% 0.13/0.44 pppp10-{F}(V0), p101-{F}(V0), pppp9-{F}(V0,V1) | pppp14-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #102: disj( #30, input ), references = 2, size of lhs = 3:
% 0.13/0.44 pppp10-{F}(V0), p101-{F}(V0), pppp9-{F}(V0,V1) | pppp15-{T}(V0)
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #109: exists( #31, #107 ), references = 2, size of lhs = 6:
% 0.13/0.44 pppp15-{F}(V0), pppp11-{F}(V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V0) | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #120: exists( #25, #118 ), references = 1, size of lhs = 2:
% 0.13/0.44 pppp12-{F}(V0), pppp11-{F}(V0) | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 #126: exists( #1, #124 ), references = 1, size of lhs = 0:
% 0.13/0.44 FALSE | FALSE
% 0.13/0.44 (used 0 times, uses = {})
% 0.13/0.44
% 0.13/0.44 number of learnt formulas = 7
% 0.13/0.44
% 0.13/0.44
% 0.13/0.44 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.44
% 0.13/0.44 randbase = 1
%------------------------------------------------------------------------------