%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL046-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 12:05:37 PM UTC 2026
% Result : Unsatisfiable 46.26s 46.58s
% Output : Refutation 46.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL046-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.09/0.36 % Computer : n003.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 : Sat Sep 5 22:37:51 UTC 2026
% 0.09/0.37 % CPUTime :
% 46.26/46.58 GeoParameters:
% 46.26/46.58
% 46.26/46.58 tptp_input = 1
% 46.26/46.58 tptp_output = 0
% 46.26/46.58 nonempty = 1
% 46.26/46.58 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.26/46.58 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 46.26/46.58
% 46.26/46.58
% 46.26/46.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.26/46.58 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.26/46.58
% 46.26/46.58 RuleSystem INPUT:
% 46.26/46.58
% 46.26/46.58 Initial Rules:
% 46.26/46.58 #0: input, references = 35, size of lhs = 3:
% 46.26/46.58 P_implies-{F}(V1,V0,V2), is_a_theorem-{F}(V2), is_a_theorem-{F}(V1) | is_a_theorem-{T}(V0)
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #1: input, references = 25, size of lhs = 5:
% 46.26/46.58 P_implies-{F}(V0,V1,V3), P_implies-{F}(V1,V2,V4), P_implies-{F}(V0,V2,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V6,V7) | is_a_theorem-{T}(V7)
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #2: input, references = 17, size of lhs = 3:
% 46.26/46.58 P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V2,V0,V3) | is_a_theorem-{T}(V3)
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #3: input, references = 16, size of lhs = 3:
% 46.26/46.58 P_not-{F}(V0,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V0,V3,V4) | is_a_theorem-{T}(V4)
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #4: input, references = 9, size of lhs = 3:
% 46.26/46.58 P_a-{F}(V0), P_implies-{F}(V0,V0,V1), is_a_theorem-{F}(V1) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #5: input, references = 45, size of lhs = 2:
% 46.26/46.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #6: input, references = 4, size of lhs = 1:
% 46.26/46.58 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #7: input, references = 4, size of lhs = 0:
% 46.26/46.58 FALSE | EXISTS V0: P_a-{T}(V0)
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 number of initial rules = 8
% 46.26/46.58
% 46.26/46.58 Simplifiers:
% 46.26/46.58 #8: unsound, references = 3, size of lhs = 3:
% 46.26/46.58 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #9: unsound, references = 3, size of lhs = 3:
% 46.26/46.58 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #10: unsound, references = 3, size of lhs = 3:
% 46.26/46.58 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 number of simplifiers = 3
% 46.26/46.58
% 46.26/46.58 Learnt:
% 46.26/46.58 #13: exists( #5, #11 ), references = 1, size of lhs = 5:
% 46.26/46.58 P_a-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V4), P_implies-{F}(V1,V3,V5), P_implies-{F}(V4,V5,V0) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #19: exists( #5, #17 ), references = 4, size of lhs = 7:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_implies-{F}(V3,V4,V0), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V5,V7), P_implies-{F}(V6,V7,V2) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #31: exists( #5, #29 ), references = 3, size of lhs = 5:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V0) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #34: exists( #5, #32 ), references = 1, size of lhs = 5:
% 46.26/46.58 P_a-{F}(V0), P_implies-{F}(V0,V0,V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V4,V1) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #51: exists( #5, #49 ), references = 1, size of lhs = 7:
% 46.26/46.58 P_a-{F}(V0), P_implies-{F}(V0,V0,V1), P_not-{F}(V2,V3), P_implies-{F}(V3,V4,V5), P_implies-{F}(V5,V6,V7), P_implies-{F}(V2,V6,V8), P_implies-{F}(V7,V8,V1) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #61: exists( #5, #59 ), references = 5, size of lhs = 9:
% 46.26/46.58 is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_implies-{F}(V2,V2,V3), P_implies-{F}(V4,V3,V1), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V7,V8), P_implies-{F}(V5,V7,V9), P_implies-{F}(V8,V9,V4) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #65: exists( #5, #63 ), references = 2, size of lhs = 11:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_implies-{F}(V3,V2,V0), P_implies-{F}(V4,V5,V3), P_implies-{F}(V6,V7,V4), P_implies-{F}(V8,V7,V5), P_implies-{F}(V9,V10,V8), P_implies-{F}(V10,V11,V12), P_implies-{F}(V9,V11,V13), P_implies-{F}(V12,V13,V6) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #77: exists( #5, #73 ), references = 2, size of lhs = 9:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V7,V8), P_implies-{F}(V5,V7,V9), P_implies-{F}(V8,V9,V4) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #78: exists( #5, #74 ), references = 1, size of lhs = 11:
% 46.26/46.58 P_a-{F}(V0), P_implies-{F}(V0,V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V4,V5,V3), P_implies-{F}(V6,V7,V4), P_implies-{F}(V8,V7,V5), P_implies-{F}(V9,V10,V8), P_implies-{F}(V10,V11,V12), P_implies-{F}(V9,V11,V13), P_implies-{F}(V12,V13,V6) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #89: exists( #5, #87 ), references = 2, size of lhs = 7:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_not-{F}(V0,V5), P_implies-{F}(V5,V6,V4) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #91: exists( #5, #88 ), references = 4, size of lhs = 5:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V2,V3), P_not-{F}(V0,V3) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #102: exists( #5, #100 ), references = 1, size of lhs = 9:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_implies-{F}(V3,V4,V0), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V5,V7), P_implies-{F}(V6,V7,V8), P_not-{F}(V8,V9), P_implies-{F}(V9,V10,V2) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #115: exists( #5, #109 ), references = 3, size of lhs = 5:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V0,V3), P_implies-{F}(V3,V4,V2) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #116: exists( #5, #110 ), references = 3, size of lhs = 7:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V2,V3), P_not-{F}(V0,V4), P_not-{F}(V5,V3), P_implies-{F}(V4,V6,V5) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #186: mergings( V5 == V6; #182 ), references = 3, size of lhs = 6:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V0), P_implies-{F}(V4,V5,V2) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #188: mergings( V7 == V8; #183 ), references = 1, size of lhs = 8:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V6,V5,V0), P_implies-{F}(V6,V7,V4) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #189: exists( #5, #181 ), references = 2, size of lhs = 7:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V0) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #194: exists( #5, #191 ), references = 1, size of lhs = 8:
% 46.26/46.58 P_a-{F}(V0), P_implies-{F}(V0,V0,V1), P_not-{F}(V2,V3), P_implies-{F}(V3,V4,V1), P_implies-{F}(V5,V6,V3), P_implies-{F}(V6,V7,V8), P_implies-{F}(V5,V7,V9), P_implies-{F}(V8,V9,V2) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #274: exists( #5, #272 ), references = 1, size of lhs = 9:
% 46.26/46.58 P_a-{F}(V0), P_implies-{F}(V0,V0,V1), P_implies-{F}(V2,V3,V1), P_implies-{F}(V4,V5,V2), P_implies-{F}(V6,V5,V3), P_implies-{F}(V7,V8,V6), P_implies-{F}(V8,V9,V10), P_implies-{F}(V7,V9,V11), P_implies-{F}(V10,V11,V4) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #317: exists( #5, #311 ), references = 1, size of lhs = 13:
% 46.26/46.58 is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_implies-{F}(V2,V2,V3), P_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V6,V7), P_implies-{F}(V4,V6,V8), P_implies-{F}(V7,V8,V9), P_implies-{F}(V1,V10,V9), P_implies-{F}(V11,V12,V10), P_implies-{F}(V12,V13,V14), P_implies-{F}(V11,V13,V15), P_implies-{F}(V14,V15,V3) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #318: exists( #5, #312 ), references = 1, size of lhs = 11:
% 46.26/46.58 is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_implies-{F}(V2,V2,V3), P_implies-{F}(V1,V4,V5), P_not-{F}(V4,V6), P_implies-{F}(V6,V7,V3), P_implies-{F}(V8,V9,V0), P_implies-{F}(V9,V10,V11), P_implies-{F}(V8,V10,V12), P_implies-{F}(V11,V12,V5) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #319: exists( #5, #313 ), references = 1, size of lhs = 13:
% 46.26/46.58 is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_implies-{F}(V1,V6,V7), P_not-{F}(V6,V8), P_implies-{F}(V8,V9,V5), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V12,V13), P_implies-{F}(V10,V12,V14), P_implies-{F}(V13,V14,V7) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #323: exists( #5, #314 ), references = 2, size of lhs = 11:
% 46.26/46.58 is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_implies-{F}(V2,V2,V3), P_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V6,V1), P_implies-{F}(V4,V6,V7), P_implies-{F}(V8,V9,V7), P_implies-{F}(V9,V10,V11), P_implies-{F}(V8,V10,V12), P_implies-{F}(V11,V12,V3) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #324: exists( #5, #315 ), references = 3, size of lhs = 9:
% 46.26/46.58 is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_implies-{F}(V2,V2,V3), P_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V6,V1), P_implies-{F}(V4,V6,V7), P_not-{F}(V7,V8), P_implies-{F}(V8,V9,V3) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #325: exists( #5, #316 ), references = 2, size of lhs = 11:
% 46.26/46.58 is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V7,V0), P_implies-{F}(V7,V8,V1), P_implies-{F}(V6,V8,V9), P_not-{F}(V9,V10), P_implies-{F}(V10,V11,V5) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #332: exists( #5, #326 ), references = 1, size of lhs = 11:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V6,V5,V0), P_implies-{F}(V6,V3,V7), P_implies-{F}(V8,V9,V7), P_implies-{F}(V9,V10,V11), P_implies-{F}(V8,V10,V12), P_implies-{F}(V11,V12,V2) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #333: exists( #5, #327 ), references = 2, size of lhs = 9:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V6,V5,V0), P_implies-{F}(V6,V3,V7), P_not-{F}(V7,V8), P_implies-{F}(V8,V9,V2) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #334: exists( #5, #328 ), references = 2, size of lhs = 11:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V6,V5,V7), P_implies-{F}(V8,V7,V0), P_implies-{F}(V8,V5,V9), P_not-{F}(V9,V10), P_implies-{F}(V10,V11,V4) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #341: exists( #5, #335 ), references = 1, size of lhs = 11:
% 46.26/46.58 P_a-{F}(V0), P_implies-{F}(V0,V0,V1), P_not-{F}(V2,V3), P_implies-{F}(V3,V4,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V6,V5), P_implies-{F}(V2,V6,V8), P_implies-{F}(V9,V10,V8), P_implies-{F}(V10,V11,V12), P_implies-{F}(V9,V11,V13), P_implies-{F}(V12,V13,V1) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #342: exists( #5, #336 ), references = 1, size of lhs = 9:
% 46.26/46.58 P_a-{F}(V0), P_implies-{F}(V0,V0,V1), P_not-{F}(V2,V3), P_implies-{F}(V3,V4,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V6,V5), P_implies-{F}(V2,V6,V8), P_not-{F}(V8,V9), P_implies-{F}(V9,V10,V1) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #343: exists( #5, #337 ), references = 1, size of lhs = 11:
% 46.26/46.58 P_a-{F}(V0), P_implies-{F}(V0,V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V5), P_implies-{F}(V5,V6,V7), P_not-{F}(V8,V9), P_implies-{F}(V9,V8,V7), P_implies-{F}(V4,V8,V10), P_not-{F}(V10,V11), P_implies-{F}(V11,V12,V3) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #347: exists( #5, #338 ), references = 2, size of lhs = 9:
% 46.26/46.58 P_a-{F}(V0), P_implies-{F}(V0,V0,V1), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V2,V4,V5), P_implies-{F}(V6,V7,V5), P_implies-{F}(V7,V8,V9), P_implies-{F}(V6,V8,V10), P_implies-{F}(V9,V10,V1) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #348: exists( #5, #339 ), references = 1, size of lhs = 7:
% 46.26/46.58 P_a-{F}(V0), P_implies-{F}(V0,V0,V1), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V2,V4,V5), P_not-{F}(V5,V6), P_implies-{F}(V6,V7,V1) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #351: exists( #5, #344 ), references = 1, size of lhs = 7:
% 46.26/46.58 P_a-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_implies-{F}(V1,V3,V4), P_implies-{F}(V5,V6,V4), P_implies-{F}(V6,V7,V0), P_implies-{F}(V5,V7,V0) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #352: exists( #5, #345 ), references = 1, size of lhs = 5:
% 46.26/46.58 P_a-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V2,V4,V1) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #361: exists( #5, #77 ), references = 2, size of lhs = 7:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V6,V3), P_implies-{F}(V4,V6,V2) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #367: exists( #5, #365 ), references = 1, size of lhs = 7:
% 46.26/46.58 P_a-{F}(V0), P_implies-{F}(V0,V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V3,V6,V2), P_implies-{F}(V5,V6,V1) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #381: exists( #5, #347 ), references = 1, size of lhs = 7:
% 46.26/46.58 P_a-{F}(V0), P_implies-{F}(V0,V0,V1), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V4,V5,V6), P_implies-{F}(V2,V5,V7), P_implies-{F}(V6,V7,V1) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #453: exists( #5, #447 ), references = 1, size of lhs = 13:
% 46.26/46.58 is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_implies-{F}(V2,V2,V3), P_implies-{F}(V4,V5,V1), P_implies-{F}(V5,V6,V7), P_implies-{F}(V4,V6,V8), P_implies-{F}(V7,V8,V9), P_implies-{F}(V9,V3,V10), P_implies-{F}(V11,V12,V0), P_implies-{F}(V12,V13,V14), P_implies-{F}(V11,V13,V15), P_implies-{F}(V14,V15,V10) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #455: exists( #5, #450 ), references = 4, size of lhs = 11:
% 46.26/46.58 is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_implies-{F}(V2,V2,V3), P_implies-{F}(V4,V5,V1), P_implies-{F}(V5,V6,V7), P_implies-{F}(V4,V6,V8), P_implies-{F}(V7,V8,V9), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V12,V9), P_implies-{F}(V10,V12,V3) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #463: exists( #5, #455 ), references = 2, size of lhs = 9:
% 46.26/46.58 is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_implies-{F}(V2,V2,V3), P_implies-{F}(V4,V5,V1), P_implies-{F}(V5,V6,V7), P_implies-{F}(V4,V6,V8), P_implies-{F}(V9,V7,V0), P_implies-{F}(V9,V8,V3) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #468: exists( #5, #464 ), references = 1, size of lhs = 9:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V5,V2), P_implies-{F}(V4,V6,V7), P_implies-{F}(V8,V9,V0), P_implies-{F}(V9,V10,V7), P_implies-{F}(V8,V10,V5) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #476: exists( #5, #474 ), references = 2, size of lhs = 11:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V5,V6), P_implies-{F}(V6,V7,V8), P_implies-{F}(V3,V7,V9), P_implies-{F}(V8,V9,V10), P_implies-{F}(V11,V12,V0), P_implies-{F}(V12,V13,V10), P_implies-{F}(V11,V13,V2) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #553: exists( #5, #549 ), references = 1, size of lhs = 9:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V7,V8), P_implies-{F}(V5,V7,V9), P_implies-{F}(V8,V9,V4) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #554: exists( #5, #550 ), references = 1, size of lhs = 11:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V7,V8), P_implies-{F}(V5,V7,V9), P_implies-{F}(V8,V9,V10), P_not-{F}(V10,V11), P_implies-{F}(V11,V12,V4) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #616: exists( #5, #610 ), references = 1, size of lhs = 15:
% 46.26/46.58 is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_implies-{F}(V2,V2,V3), P_implies-{F}(V4,V5,V1), P_implies-{F}(V5,V6,V7), P_implies-{F}(V4,V6,V8), P_implies-{F}(V7,V8,V9), P_implies-{F}(V10,V11,V9), P_implies-{F}(V12,V11,V3), P_implies-{F}(V12,V10,V13), P_implies-{F}(V14,V15,V0), P_implies-{F}(V15,V16,V17), P_implies-{F}(V14,V16,V18), P_implies-{F}(V17,V18,V13) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #617: exists( #5, #611 ), references = 1, size of lhs = 15:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V5,V6), P_implies-{F}(V6,V7,V8), P_implies-{F}(V3,V7,V9), P_implies-{F}(V8,V9,V10), P_implies-{F}(V11,V12,V10), P_implies-{F}(V13,V12,V2), P_implies-{F}(V13,V11,V14), P_implies-{F}(V15,V16,V0), P_implies-{F}(V16,V17,V18), P_implies-{F}(V15,V17,V19), P_implies-{F}(V18,V19,V14) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #658: exists( #5, #656 ), references = 1, size of lhs = 11:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V6), P_implies-{F}(V7,V8,V0), P_implies-{F}(V8,V9,V10), P_implies-{F}(V7,V9,V11), P_implies-{F}(V10,V11,V6) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #660: exists( #5, #657 ), references = 3, size of lhs = 9:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_not-{F}(V4,V5), P_implies-{F}(V6,V7,V0), P_implies-{F}(V7,V8,V5), P_implies-{F}(V6,V8,V4) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #663: exists( #5, #661 ), references = 1, size of lhs = 9:
% 46.26/46.58 P_a-{F}(V0), P_implies-{F}(V0,V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V1,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V6), P_implies-{F}(V6,V5,V7), P_implies-{F}(V5,V8,V4), P_implies-{F}(V7,V8,V3) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #691: exists( #5, #685 ), references = 1, size of lhs = 13:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_not-{F}(V4,V5), P_implies-{F}(V6,V7,V5), P_implies-{F}(V8,V7,V4), P_implies-{F}(V8,V6,V9), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V12,V13), P_implies-{F}(V10,V12,V14), P_implies-{F}(V13,V14,V9) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #765: exists( #5, #759 ), references = 1, size of lhs = 13:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V6,V5,V7), P_implies-{F}(V6,V3,V8), P_not-{F}(V8,V9), P_implies-{F}(V9,V10,V2), P_implies-{F}(V11,V12,V0), P_implies-{F}(V12,V13,V14), P_implies-{F}(V11,V13,V15), P_implies-{F}(V14,V15,V7) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #766: exists( #5, #760 ), references = 1, size of lhs = 15:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V6,V5,V7), P_implies-{F}(V8,V7,V9), P_implies-{F}(V8,V5,V10), P_not-{F}(V10,V11), P_implies-{F}(V11,V12,V4), P_implies-{F}(V13,V14,V0), P_implies-{F}(V14,V15,V16), P_implies-{F}(V13,V15,V17), P_implies-{F}(V16,V17,V9) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #767: exists( #5, #761 ), references = 1, size of lhs = 13:
% 46.26/46.58 is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_implies-{F}(V2,V2,V3), P_implies-{F}(V4,V5,V1), P_implies-{F}(V6,V4,V7), P_implies-{F}(V6,V5,V8), P_not-{F}(V8,V9), P_implies-{F}(V9,V10,V3), P_implies-{F}(V11,V12,V0), P_implies-{F}(V12,V13,V14), P_implies-{F}(V11,V13,V15), P_implies-{F}(V14,V15,V7) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #853: exists( #5, #847 ), references = 1, size of lhs = 9:
% 46.26/46.58 is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_implies-{F}(V2,V2,V3), P_implies-{F}(V1,V3,V4), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V7,V8), P_implies-{F}(V5,V7,V9), P_implies-{F}(V8,V9,V4) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #854: exists( #5, #848 ), references = 1, size of lhs = 12:
% 46.26/46.58 is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V6), P_implies-{F}(V1,V6,V7), P_implies-{F}(V5,V8,V3), P_implies-{F}(V9,V10,V0), P_implies-{F}(V10,V11,V12), P_implies-{F}(V9,V11,V13), P_implies-{F}(V12,V13,V7) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #855: exists( #5, #849 ), references = 1, size of lhs = 11:
% 46.26/46.58 is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_implies-{F}(V1,V5,V6), P_implies-{F}(V7,V8,V0), P_implies-{F}(V8,V9,V10), P_implies-{F}(V7,V9,V11), P_implies-{F}(V10,V11,V6) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #859: exists( #5, #850 ), references = 2, size of lhs = 7:
% 46.26/46.58 is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_implies-{F}(V2,V2,V3), P_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V6,V1), P_implies-{F}(V4,V6,V3) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #860: exists( #5, #851 ), references = 2, size of lhs = 10:
% 46.26/46.58 is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V6), P_implies-{F}(V5,V7,V3), P_implies-{F}(V8,V9,V0), P_implies-{F}(V9,V10,V1), P_implies-{F}(V8,V10,V6) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #861: exists( #5, #852 ), references = 2, size of lhs = 9:
% 46.26/46.58 is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V7,V0), P_implies-{F}(V7,V8,V1), P_implies-{F}(V6,V8,V5) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #871: exists( #5, #865 ), references = 1, size of lhs = 7:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V6,V5,V0), P_implies-{F}(V6,V3,V2) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #872: exists( #5, #866 ), references = 1, size of lhs = 10:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V6,V5,V0), P_implies-{F}(V6,V3,V7), P_not-{F}(V8,V9), P_implies-{F}(V9,V8,V7), P_implies-{F}(V9,V10,V2) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #873: exists( #5, #867 ), references = 1, size of lhs = 9:
% 46.26/46.58 is_a_theorem-{F}(V0), P_a-{F}(V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V6,V5,V7), P_implies-{F}(V8,V7,V0), P_implies-{F}(V8,V5,V4) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #880: exists( #5, #874 ), references = 1, size of lhs = 7:
% 46.26/46.58 P_a-{F}(V0), P_implies-{F}(V0,V0,V1), P_not-{F}(V2,V3), P_implies-{F}(V2,V4,V1), P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V6), P_implies-{F}(V3,V7,V6) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #881: exists( #5, #875 ), references = 1, size of lhs = 10:
% 46.26/46.58 P_a-{F}(V0), P_implies-{F}(V0,V0,V1), P_not-{F}(V2,V3), P_implies-{F}(V3,V4,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V6,V5), P_implies-{F}(V2,V6,V8), P_not-{F}(V9,V10), P_implies-{F}(V10,V9,V8), P_implies-{F}(V10,V11,V1) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #884: mergings( V2 == V3; #882 ), references = 1, size of lhs = 4:
% 46.26/46.58 P_a-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V1,V3,V2) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #886: exists( #5, #882 ), references = 1, size of lhs = 2:
% 46.26/46.58 P_a-{F}(V0), P_not-{F}(V0,V1) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #888: exists( #6, #885 ), references = 1, size of lhs = 1:
% 46.26/46.58 P_a-{F}(V0) | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 #890: exists( #7, #887 ), references = 1, size of lhs = 0:
% 46.26/46.58 FALSE | FALSE
% 46.26/46.58 (used 0 times, uses = {})
% 46.26/46.58
% 46.26/46.58 number of learnt formulas = 69
% 46.26/46.58
% 46.26/46.58
% 46.26/46.58 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.26/46.58
% 46.26/46.58 randbase = 1
%------------------------------------------------------------------------------