%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL174-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 12:05:49 PM UTC 2026
% Result : Unsatisfiable 2.05s 2.33s
% Output : Refutation 2.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL174-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.09/0.35 % Computer : n029.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 11:35:55 UTC 2026
% 0.09/0.35 % CPUTime :
% 2.05/2.33 GeoParameters:
% 2.05/2.33
% 2.05/2.33 tptp_input = 1
% 2.05/2.33 tptp_output = 0
% 2.05/2.33 nonempty = 1
% 2.05/2.33 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.05/2.33 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.05/2.33
% 2.05/2.33
% 2.05/2.33 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.05/2.33 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.05/2.33
% 2.05/2.33 RuleSystem INPUT:
% 2.05/2.33
% 2.05/2.33 Initial Rules:
% 2.05/2.33 #0: input, references = 4, size of lhs = 2:
% 2.05/2.33 P_or-{F}(V0,V0,V1), P_implies-{F}(V1,V0,V2) | axiom-{T}(V2)
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #1: input, references = 5, size of lhs = 2:
% 2.05/2.33 P_or-{F}(V1,V0,V2), P_implies-{F}(V0,V2,V3) | axiom-{T}(V3)
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #2: input, references = 3, size of lhs = 3:
% 2.05/2.33 P_or-{F}(V0,V1,V2), P_or-{F}(V1,V0,V3), P_implies-{F}(V2,V3,V4) | axiom-{T}(V4)
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #3: input, references = 6, size of lhs = 5:
% 2.05/2.33 P_or-{F}(V1,V2,V3), P_or-{F}(V0,V3,V4), P_or-{F}(V0,V2,V5), P_or-{F}(V1,V5,V6), P_implies-{F}(V4,V6,V7) | axiom-{T}(V7)
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #4: input, references = 5, size of lhs = 5:
% 2.05/2.33 P_implies-{F}(V0,V1,V3), P_or-{F}(V2,V0,V4), P_or-{F}(V2,V1,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V6,V7) | axiom-{T}(V7)
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #5: input, references = 5, size of lhs = 4:
% 2.05/2.33 P_implies-{F}(V0,V1,V2), P_not-{F}(V0,V3), P_or-{F}(V3,V1,V4), V2 == V4 | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #6: input, references = 11, size of lhs = 1:
% 2.05/2.33 axiom-{F}(V0) | theorem-{T}(V0)
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #7: input, references = 4, size of lhs = 3:
% 2.05/2.33 theorem-{F}(V0), P_implies-{F}(V0,V1,V2), theorem-{F}(V2) | theorem-{T}(V1)
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #8: input, references = 8, size of lhs = 9:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_r-{F}(V3), P_implies-{F}(V1,V3,V4), P_implies-{F}(V0,V3,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V2,V6,V7), theorem-{F}(V7) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #9: input, references = 24, size of lhs = 2:
% 2.05/2.33 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #10: input, references = 9, size of lhs = 2:
% 2.05/2.33 #-{F} V0, #-{F} V1 | EXISTS V2: P_or-{T}(V0,V1,V2)
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #11: input, references = 12, size of lhs = 1:
% 2.05/2.33 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #12: input, references = 4, size of lhs = 0:
% 2.05/2.33 FALSE | EXISTS V0: P_p-{T}(V0)
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #13: input, references = 4, size of lhs = 0:
% 2.05/2.33 FALSE | EXISTS V0: P_q-{T}(V0)
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #14: input, references = 5, size of lhs = 0:
% 2.05/2.33 FALSE | EXISTS V0: P_r-{T}(V0)
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 number of initial rules = 15
% 2.05/2.33
% 2.05/2.33 Simplifiers:
% 2.05/2.33 #15: unsound, references = 3, size of lhs = 3:
% 2.05/2.33 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #16: unsound, references = 3, size of lhs = 3:
% 2.05/2.33 P_or-{F}(V0,V1,V2), P_or-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #17: unsound, references = 3, size of lhs = 3:
% 2.05/2.33 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #18: unsound, references = 3, size of lhs = 3:
% 2.05/2.33 P_p-{F}(V0), P_p-{F}(V1), V0 == V1 | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #19: unsound, references = 3, size of lhs = 3:
% 2.05/2.33 P_q-{F}(V0), P_q-{F}(V1), V0 == V1 | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #20: unsound, references = 3, size of lhs = 3:
% 2.05/2.33 P_r-{F}(V0), P_r-{F}(V1), V0 == V1 | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 number of simplifiers = 6
% 2.05/2.33
% 2.05/2.33 Learnt:
% 2.05/2.33 #22: exists( #10, #5 ), references = 18, size of lhs = 2:
% 2.05/2.33 P_not-{F}(V0,V1), P_implies-{F}(V0,V2,V3) | P_or-{T}(V1,V2,V3)
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #24: exists( #9, #5 ), references = 13, size of lhs = 2:
% 2.05/2.33 P_not-{F}(V0,V1), P_or-{F}(V1,V2,V3) | P_implies-{T}(V0,V2,V3)
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #36: exists( #9, #34 ), references = 2, size of lhs = 11:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_r-{F}(V3), P_implies-{F}(V1,V3,V4), P_implies-{F}(V0,V3,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V7,V8,V2), P_or-{F}(V9,V7,V10), P_or-{F}(V9,V8,V11), P_implies-{F}(V10,V11,V6) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #38: exists( #9, #35 ), references = 1, size of lhs = 9:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_r-{F}(V3), P_implies-{F}(V1,V3,V4), P_implies-{F}(V0,V3,V5), P_implies-{F}(V6,V7,V2), P_or-{F}(V8,V6,V4), P_or-{F}(V8,V7,V5) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #42: exists( #9, #40 ), references = 1, size of lhs = 5:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V0), P_r-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #44: exists( #11, #41 ), references = 1, size of lhs = 3:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V0), P_r-{F}(V0) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #62: exists( #10, #60 ), references = 2, size of lhs = 12:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_implies-{F}(V1,V4,V5), P_implies-{F}(V0,V4,V6), P_implies-{F}(V5,V6,V7), P_or-{F}(V8,V9,V2), P_or-{F}(V10,V11,V9), P_or-{F}(V8,V11,V12), P_or-{F}(V10,V12,V7) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #66: exists( #9, #64 ), references = 2, size of lhs = 12:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_implies-{F}(V1,V4,V5), P_not-{F}(V5,V6), P_not-{F}(V7,V6), P_implies-{F}(V0,V4,V8), P_or-{F}(V6,V9,V10), P_or-{F}(V11,V10,V2), P_or-{F}(V11,V9,V8) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #72: exists( #9, #69 ), references = 1, size of lhs = 11:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_r-{F}(V3), P_implies-{F}(V1,V3,V4), P_not-{F}(V4,V5), P_implies-{F}(V0,V3,V6), P_not-{F}(V7,V5), P_implies-{F}(V8,V9,V2), P_or-{F}(V10,V8,V7), P_or-{F}(V10,V9,V6) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #83: exists( #9, #81 ), references = 1, size of lhs = 10:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_r-{F}(V5), P_implies-{F}(V1,V5,V6), P_implies-{F}(V0,V5,V7), P_implies-{F}(V6,V7,V8), P_or-{F}(V9,V4,V8) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #86: exists( #9, #84 ), references = 1, size of lhs = 9:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_implies-{F}(V1,V4,V5), P_implies-{F}(V0,V4,V6), P_not-{F}(V6,V3), P_not-{F}(V5,V7) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #97: exists( #10, #95 ), references = 1, size of lhs = 9:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_implies-{F}(V1,V4,V5), P_implies-{F}(V0,V4,V6), P_implies-{F}(V5,V6,V7), P_or-{F}(V7,V7,V2) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #108: exists( #9, #106 ), references = 1, size of lhs = 13:
% 2.05/2.33 theorem-{F}(V0), P_p-{F}(V1), P_q-{F}(V2), P_implies-{F}(V1,V2,V3), P_r-{F}(V4), P_implies-{F}(V2,V4,V5), P_implies-{F}(V1,V4,V6), P_implies-{F}(V5,V6,V7), P_implies-{F}(V3,V7,V8), P_or-{F}(V9,V10,V0), P_or-{F}(V11,V12,V10), P_or-{F}(V9,V12,V13), P_or-{F}(V11,V13,V8) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #111: exists( #10, #109 ), references = 4, size of lhs = 12:
% 2.05/2.33 theorem-{F}(V0), P_p-{F}(V1), P_q-{F}(V2), P_implies-{F}(V1,V2,V3), P_not-{F}(V3,V4), P_r-{F}(V5), P_implies-{F}(V2,V5,V6), P_implies-{F}(V1,V5,V7), P_implies-{F}(V6,V7,V8), P_or-{F}(V4,V9,V10), P_or-{F}(V11,V10,V0), P_or-{F}(V11,V9,V8) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #118: exists( #9, #116 ), references = 2, size of lhs = 15:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_implies-{F}(V1,V4,V5), P_implies-{F}(V0,V4,V6), P_implies-{F}(V5,V6,V7), P_or-{F}(V3,V8,V9), P_or-{F}(V10,V8,V7), P_not-{F}(V11,V10), P_or-{F}(V12,V13,V11), P_or-{F}(V14,V15,V13), P_or-{F}(V12,V15,V16), P_or-{F}(V14,V16,V9) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #126: exists( #9, #124 ), references = 1, size of lhs = 12:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_implies-{F}(V1,V4,V5), P_implies-{F}(V0,V4,V6), P_implies-{F}(V5,V6,V7), P_not-{F}(V8,V9), P_or-{F}(V9,V10,V7), P_or-{F}(V3,V10,V11), P_or-{F}(V12,V8,V11) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #128: exists( #10, #125 ), references = 2, size of lhs = 10:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_implies-{F}(V1,V4,V5), P_implies-{F}(V0,V4,V6), P_implies-{F}(V5,V6,V7), P_not-{F}(V8,V9), P_or-{F}(V9,V8,V7) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #131: exists( #9, #129 ), references = 2, size of lhs = 9:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_implies-{F}(V1,V4,V5), P_implies-{F}(V0,V4,V6), P_not-{F}(V5,V7), P_not-{F}(V6,V7) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #133: exists( #11, #130 ), references = 2, size of lhs = 7:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_implies-{F}(V1,V4,V5), P_implies-{F}(V0,V4,V5) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #136: exists( #10, #134 ), references = 2, size of lhs = 6:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V0,V0,V2), P_not-{F}(V2,V3), P_r-{F}(V4) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #138: exists( #11, #136 ), references = 1, size of lhs = 5:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V0,V0,V2), P_r-{F}(V3) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #140: exists( #9, #137 ), references = 1, size of lhs = 4:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V0), P_not-{F}(V0,V1), P_r-{F}(V2) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #142: exists( #11, #139 ), references = 1, size of lhs = 3:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V0), P_r-{F}(V1) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #144: exists( #14, #141 ), references = 1, size of lhs = 2:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V0) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #154: exists( #11, #133 ), references = 1, size of lhs = 6:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_r-{F}(V3), P_implies-{F}(V1,V3,V4), P_implies-{F}(V0,V3,V4) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #155: exists( #11, #131 ), references = 1, size of lhs = 8:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_r-{F}(V3), P_implies-{F}(V1,V3,V4), P_implies-{F}(V0,V3,V5), P_not-{F}(V4,V6), P_not-{F}(V5,V6) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #156: exists( #11, #128 ), references = 1, size of lhs = 9:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_r-{F}(V3), P_implies-{F}(V1,V3,V4), P_implies-{F}(V0,V3,V5), P_implies-{F}(V4,V5,V6), P_not-{F}(V7,V8), P_or-{F}(V8,V7,V6) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #166: exists( #9, #160 ), references = 1, size of lhs = 7:
% 2.05/2.33 P_p-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_q-{F}(V3), P_r-{F}(V4), P_implies-{F}(V3,V4,V5), P_implies-{F}(V0,V4,V5) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #167: exists( #9, #161 ), references = 1, size of lhs = 9:
% 2.05/2.33 P_p-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_q-{F}(V3), P_r-{F}(V4), P_implies-{F}(V3,V4,V5), P_implies-{F}(V0,V4,V6), P_not-{F}(V5,V7), P_not-{F}(V6,V7) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #168: exists( #9, #162 ), references = 1, size of lhs = 10:
% 2.05/2.33 P_p-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_q-{F}(V3), P_r-{F}(V4), P_implies-{F}(V3,V4,V5), P_implies-{F}(V0,V4,V6), P_implies-{F}(V5,V6,V7), P_not-{F}(V8,V9), P_or-{F}(V9,V8,V7) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #174: exists( #11, #62 ), references = 1, size of lhs = 11:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_r-{F}(V3), P_implies-{F}(V1,V3,V4), P_implies-{F}(V0,V3,V5), P_implies-{F}(V4,V5,V6), P_or-{F}(V7,V8,V2), P_or-{F}(V9,V10,V8), P_or-{F}(V7,V10,V11), P_or-{F}(V9,V11,V6) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #175: exists( #11, #66 ), references = 1, size of lhs = 11:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_r-{F}(V3), P_implies-{F}(V1,V3,V4), P_not-{F}(V4,V5), P_not-{F}(V6,V5), P_implies-{F}(V0,V3,V7), P_or-{F}(V5,V8,V9), P_or-{F}(V10,V9,V2), P_or-{F}(V10,V8,V7) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #185: exists( #9, #181 ), references = 1, size of lhs = 14:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_implies-{F}(V1,V4,V5), P_implies-{F}(V0,V4,V6), P_not-{F}(V5,V7), P_or-{F}(V3,V6,V8), P_not-{F}(V9,V7), P_or-{F}(V10,V11,V9), P_or-{F}(V12,V13,V11), P_or-{F}(V10,V13,V14), P_or-{F}(V12,V14,V8) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #194: exists( #9, #192 ), references = 1, size of lhs = 15:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_implies-{F}(V1,V4,V5), P_implies-{F}(V0,V4,V6), P_implies-{F}(V5,V6,V7), P_or-{F}(V3,V8,V9), P_or-{F}(V10,V8,V7), P_not-{F}(V11,V10), P_implies-{F}(V12,V13,V11), P_or-{F}(V14,V12,V15), P_or-{F}(V14,V13,V16), P_implies-{F}(V15,V16,V9) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #197: exists( #9, #195 ), references = 1, size of lhs = 14:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_implies-{F}(V1,V4,V5), P_implies-{F}(V0,V4,V6), P_not-{F}(V5,V7), P_or-{F}(V3,V6,V8), P_not-{F}(V9,V7), P_implies-{F}(V10,V11,V9), P_or-{F}(V12,V10,V13), P_or-{F}(V12,V11,V14), P_implies-{F}(V13,V14,V8) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #199: exists( #11, #196 ), references = 2, size of lhs = 12:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_implies-{F}(V1,V4,V5), P_implies-{F}(V0,V4,V6), P_or-{F}(V3,V6,V7), P_implies-{F}(V8,V9,V5), P_or-{F}(V10,V8,V11), P_or-{F}(V10,V9,V12), P_implies-{F}(V11,V12,V7) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #203: exists( #9, #201 ), references = 1, size of lhs = 11:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_implies-{F}(V1,V4,V5), P_implies-{F}(V0,V4,V6), P_not-{F}(V7,V3), P_implies-{F}(V8,V9,V5), P_or-{F}(V10,V8,V7), P_or-{F}(V10,V9,V6) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #205: exists( #11, #202 ), references = 1, size of lhs = 9:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_r-{F}(V3), P_implies-{F}(V1,V3,V4), P_implies-{F}(V0,V3,V5), P_implies-{F}(V6,V7,V4), P_or-{F}(V8,V6,V2), P_or-{F}(V8,V7,V5) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #207: exists( #9, #204 ), references = 1, size of lhs = 7:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_r-{F}(V3), P_implies-{F}(V0,V3,V4), P_or-{F}(V5,V1,V2), P_or-{F}(V5,V3,V4) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #211: exists( #9, #209 ), references = 2, size of lhs = 7:
% 2.05/2.33 P_p-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_q-{F}(V3), P_r-{F}(V4), P_implies-{F}(V0,V4,V5), P_or-{F}(V1,V4,V5) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #215: exists( #9, #213 ), references = 1, size of lhs = 5:
% 2.05/2.33 P_p-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_q-{F}(V3), P_r-{F}(V4) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #217: exists( #11, #214 ), references = 1, size of lhs = 3:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1), P_r-{F}(V2) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #219: exists( #14, #216 ), references = 1, size of lhs = 2:
% 2.05/2.33 P_p-{F}(V0), P_q-{F}(V1) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #221: exists( #13, #218 ), references = 1, size of lhs = 1:
% 2.05/2.33 P_p-{F}(V0) | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 #223: exists( #12, #220 ), references = 1, size of lhs = 0:
% 2.05/2.33 FALSE | FALSE
% 2.05/2.33 (used 0 times, uses = {})
% 2.05/2.33
% 2.05/2.33 number of learnt formulas = 45
% 2.05/2.33
% 2.05/2.33
% 2.05/2.33 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.05/2.33
% 2.05/2.33 randbase = 1
%------------------------------------------------------------------------------