TSTP Solution File: LCL046-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL046-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:08:41 EDT 2022
% Result : Unsatisfiable 19.53s 19.75s
% Output : Refutation 19.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL046-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 22:39:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 19.53/19.75 GeoParameters:
% 19.53/19.75
% 19.53/19.75 tptp_input = 1
% 19.53/19.75 tptp_output = 0
% 19.53/19.75 nonempty = 1
% 19.53/19.75 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.53/19.75 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 19.53/19.75
% 19.53/19.75
% 19.53/19.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.53/19.75 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.53/19.75
% 19.53/19.75 RuleSystem INPUT:
% 19.53/19.75
% 19.53/19.75 Initial Rules:
% 19.53/19.75 #0: input, references = 35, size of lhs = 3:
% 19.53/19.75 P_implies-{F}(V1,V0,V2), is_a_theorem-{F}(V2), is_a_theorem-{F}(V1) | is_a_theorem-{T}(V0)
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #1: input, references = 25, size of lhs = 5:
% 19.53/19.75 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)
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #2: input, references = 17, size of lhs = 3:
% 19.53/19.75 P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V2,V0,V3) | is_a_theorem-{T}(V3)
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #3: input, references = 16, size of lhs = 3:
% 19.53/19.75 P_not-{F}(V0,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V0,V3,V4) | is_a_theorem-{T}(V4)
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #4: input, references = 9, size of lhs = 3:
% 19.53/19.75 P_a-{F}(V0), P_implies-{F}(V0,V0,V1), is_a_theorem-{F}(V1) | FALSE
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #5: input, references = 45, size of lhs = 2:
% 19.53/19.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #6: input, references = 4, size of lhs = 1:
% 19.53/19.75 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #7: input, references = 4, size of lhs = 0:
% 19.53/19.75 FALSE | EXISTS V0: P_a-{T}(V0)
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 number of initial rules = 8
% 19.53/19.75
% 19.53/19.75 Simplifiers:
% 19.53/19.75 #8: unsound, references = 3, size of lhs = 3:
% 19.53/19.75 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #9: unsound, references = 3, size of lhs = 3:
% 19.53/19.75 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #10: unsound, references = 3, size of lhs = 3:
% 19.53/19.75 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 number of simplifiers = 3
% 19.53/19.75
% 19.53/19.75 Learnt:
% 19.53/19.75 #13: exists( #5, #11 ), references = 1, size of lhs = 5:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #19: exists( #5, #17 ), references = 4, size of lhs = 7:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #31: exists( #5, #29 ), references = 3, size of lhs = 5:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #34: exists( #5, #32 ), references = 1, size of lhs = 5:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #51: exists( #5, #49 ), references = 1, size of lhs = 7:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #61: exists( #5, #59 ), references = 5, size of lhs = 9:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #65: exists( #5, #63 ), references = 2, size of lhs = 11:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #77: exists( #5, #73 ), references = 2, size of lhs = 9:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #78: exists( #5, #74 ), references = 1, size of lhs = 11:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #89: exists( #5, #87 ), references = 2, size of lhs = 7:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #91: exists( #5, #88 ), references = 4, size of lhs = 5:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #102: exists( #5, #100 ), references = 1, size of lhs = 9:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #115: exists( #5, #109 ), references = 3, size of lhs = 5:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #116: exists( #5, #110 ), references = 3, size of lhs = 7:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #186: mergings( V5 == V6; #182 ), references = 3, size of lhs = 6:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #188: mergings( V7 == V8; #183 ), references = 1, size of lhs = 8:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #189: exists( #5, #181 ), references = 2, size of lhs = 7:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #194: exists( #5, #191 ), references = 1, size of lhs = 8:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #274: exists( #5, #272 ), references = 1, size of lhs = 9:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #317: exists( #5, #311 ), references = 1, size of lhs = 13:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #318: exists( #5, #312 ), references = 1, size of lhs = 11:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #319: exists( #5, #313 ), references = 1, size of lhs = 13:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #323: exists( #5, #314 ), references = 2, size of lhs = 11:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #324: exists( #5, #315 ), references = 3, size of lhs = 9:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #325: exists( #5, #316 ), references = 2, size of lhs = 11:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #332: exists( #5, #326 ), references = 1, size of lhs = 11:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #333: exists( #5, #327 ), references = 2, size of lhs = 9:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #334: exists( #5, #328 ), references = 2, size of lhs = 11:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #341: exists( #5, #335 ), references = 1, size of lhs = 11:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #342: exists( #5, #336 ), references = 1, size of lhs = 9:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #343: exists( #5, #337 ), references = 1, size of lhs = 11:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #347: exists( #5, #338 ), references = 2, size of lhs = 9:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #348: exists( #5, #339 ), references = 1, size of lhs = 7:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #351: exists( #5, #344 ), references = 1, size of lhs = 7:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #352: exists( #5, #345 ), references = 1, size of lhs = 5:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #361: exists( #5, #77 ), references = 2, size of lhs = 7:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #367: exists( #5, #365 ), references = 1, size of lhs = 7:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #381: exists( #5, #347 ), references = 1, size of lhs = 7:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #453: exists( #5, #447 ), references = 1, size of lhs = 13:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #455: exists( #5, #450 ), references = 4, size of lhs = 11:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #463: exists( #5, #455 ), references = 2, size of lhs = 9:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #468: exists( #5, #464 ), references = 1, size of lhs = 9:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #476: exists( #5, #474 ), references = 2, size of lhs = 11:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #553: exists( #5, #549 ), references = 1, size of lhs = 9:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #554: exists( #5, #550 ), references = 1, size of lhs = 11:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #616: exists( #5, #610 ), references = 1, size of lhs = 15:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #617: exists( #5, #611 ), references = 1, size of lhs = 15:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #658: exists( #5, #656 ), references = 1, size of lhs = 11:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #660: exists( #5, #657 ), references = 3, size of lhs = 9:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #663: exists( #5, #661 ), references = 1, size of lhs = 9:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #691: exists( #5, #685 ), references = 1, size of lhs = 13:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #765: exists( #5, #759 ), references = 1, size of lhs = 13:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #766: exists( #5, #760 ), references = 1, size of lhs = 15:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #767: exists( #5, #761 ), references = 1, size of lhs = 13:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #853: exists( #5, #847 ), references = 1, size of lhs = 9:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #854: exists( #5, #848 ), references = 1, size of lhs = 12:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #855: exists( #5, #849 ), references = 1, size of lhs = 11:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #859: exists( #5, #850 ), references = 2, size of lhs = 7:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #860: exists( #5, #851 ), references = 2, size of lhs = 10:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #861: exists( #5, #852 ), references = 2, size of lhs = 9:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #871: exists( #5, #865 ), references = 1, size of lhs = 7:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #872: exists( #5, #866 ), references = 1, size of lhs = 10:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #873: exists( #5, #867 ), references = 1, size of lhs = 9:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #880: exists( #5, #874 ), references = 1, size of lhs = 7:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #881: exists( #5, #875 ), references = 1, size of lhs = 10:
% 19.53/19.75 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
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #884: mergings( V2 == V3; #882 ), references = 1, size of lhs = 4:
% 19.53/19.75 P_a-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V1,V3,V2) | FALSE
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #886: exists( #5, #882 ), references = 1, size of lhs = 2:
% 19.53/19.75 P_a-{F}(V0), P_not-{F}(V0,V1) | FALSE
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #888: exists( #6, #885 ), references = 1, size of lhs = 1:
% 19.53/19.75 P_a-{F}(V0) | FALSE
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 #890: exists( #7, #887 ), references = 1, size of lhs = 0:
% 19.53/19.75 FALSE | FALSE
% 19.53/19.75 (used 0 times, uses = {})
% 19.53/19.75
% 19.53/19.75 number of learnt formulas = 69
% 19.53/19.75
% 19.53/19.75
% 19.53/19.75 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.53/19.75
% 19.53/19.75 randbase = 1
%------------------------------------------------------------------------------