TSTP Solution File: LCL109-3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL109-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 06:08:45 EDT 2022
% Result : Unsatisfiable 9.92s 10.10s
% Output : Refutation 9.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL109-3 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 22:29:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 9.92/10.10 GeoParameters:
% 9.92/10.10
% 9.92/10.10 tptp_input = 1
% 9.92/10.10 tptp_output = 0
% 9.92/10.10 nonempty = 1
% 9.92/10.10 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.92/10.10 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 9.92/10.10
% 9.92/10.10
% 9.92/10.10 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.92/10.10 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.92/10.10
% 9.92/10.10 RuleSystem INPUT:
% 9.92/10.10
% 9.92/10.10 Initial Rules:
% 9.92/10.10 #0: input, references = 4, size of lhs = 3:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V0,V1,V2), V2 == V1 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #1: input, references = 4, size of lhs = 7:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V1,V2,V4), P_implies-{F}(V2,V3,V5), P_implies-{F}(V1,V3,V6), P_implies-{F}(V5,V6,V7), P_implies-{F}(V4,V7,V8), V8 == V0 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #2: input, references = 6, size of lhs = 6:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V2,V1,V5), P_implies-{F}(V5,V1,V6), V4 == V6 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #3: input, references = 3, size of lhs = 7:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V1,V3), P_not-{F}(V2,V4), P_implies-{F}(V3,V4,V5), P_implies-{F}(V2,V1,V6), P_implies-{F}(V5,V6,V7), V7 == V0 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #4: input, references = 4, size of lhs = 3:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V1,V1,V2), V2 == V0 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #5: input, references = 5, size of lhs = 4:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V1,V2,V4), P_implies-{F}(V2,V1,V4), V1 == V2 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #6: input, references = 4, size of lhs = 3:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V1,V0,V2), V2 == V0 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #7: input, references = 4, size of lhs = 4:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V2,V1,V3), P_implies-{F}(V1,V3,V4), V4 == V0 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #8: input, references = 6, size of lhs = 5:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V1,V4,V6), P_implies-{F}(V4,V2,V6), V3 == V0 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #9: input, references = 3, size of lhs = 7:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V1,V2,V4), P_implies-{F}(V3,V1,V5), P_implies-{F}(V3,V2,V6), P_implies-{F}(V5,V6,V7), P_implies-{F}(V4,V7,V8), V8 == V0 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #10: input, references = 6, size of lhs = 6:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V2,V3,V4), P_implies-{F}(V1,V4,V5), P_implies-{F}(V1,V3,V6), P_implies-{F}(V2,V6,V7), V5 == V7 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #11: input, references = 5, size of lhs = 5:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V2,V1,V3), P_not-{F}(V2,V4), V3 == V4 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #12: input, references = 5, size of lhs = 5:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_not-{F}(V3,V4), V4 == V2 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #13: input, references = 4, size of lhs = 7:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V4), P_not-{F}(V3,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V2,V7), V6 == V7 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #14: input, references = 5, size of lhs = 8:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_implies-{F}(V2,V3,V4), P_implies-{F}(V3,V2,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V6,V5,V0) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #15: input, references = 19, size of lhs = 2:
% 9.92/10.10 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #16: input, references = 4, size of lhs = 0:
% 9.92/10.10 FALSE | EXISTS V0: P_truth-{T}(V0)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #17: input, references = 14, size of lhs = 1:
% 9.92/10.10 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #18: input, references = 4, size of lhs = 0:
% 9.92/10.10 FALSE | EXISTS V0: P_a-{T}(V0)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #19: input, references = 4, size of lhs = 0:
% 9.92/10.10 FALSE | EXISTS V0: P_b-{T}(V0)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 number of initial rules = 20
% 9.92/10.10
% 9.92/10.10 Simplifiers:
% 9.92/10.10 #20: unsound, references = 3, size of lhs = 3:
% 9.92/10.10 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #21: unsound, references = 3, size of lhs = 3:
% 9.92/10.10 P_truth-{F}(V0), P_truth-{F}(V1), V0 == V1 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #22: unsound, references = 3, size of lhs = 3:
% 9.92/10.10 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #23: unsound, references = 3, size of lhs = 3:
% 9.92/10.10 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #24: unsound, references = 3, size of lhs = 3:
% 9.92/10.10 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 number of simplifiers = 5
% 9.92/10.10
% 9.92/10.10 Learnt:
% 9.92/10.10 #27: exists( #15, #4 ), references = 8, size of lhs = 2:
% 9.92/10.10 P_truth-{F}(V0), #-{F} V1 | P_implies-{T}(V1,V1,V0)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #29: exists( #17, #14 ), references = 4, size of lhs = 7:
% 9.92/10.10 P_truth-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V2,V1,V4), P_implies-{F}(V3,V4,V5), P_implies-{F}(V5,V4,V0) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #32: exists( #15, #6 ), references = 4, size of lhs = 2:
% 9.92/10.10 P_truth-{F}(V0), #-{F} V1 | P_implies-{T}(V1,V0,V0)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #33: exists( #15, #7 ), references = 7, size of lhs = 2:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3) | P_implies-{T}(V2,V3,V0)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #35: exists( #15, #0 ), references = 8, size of lhs = 2:
% 9.92/10.10 P_truth-{F}(V0), #-{F} V1 | P_implies-{T}(V0,V1,V1)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #37: exists( #17, #12 ), references = 1, size of lhs = 2:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V1,V0) | P_not-{T}(V0,V1)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #39: exists( #15, #13 ), references = 15, size of lhs = 5:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_not-{F}(V4,V5), P_implies-{F}(V4,V2,V6) | P_implies-{T}(V3,V5,V6)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #47: exists( #15, #11 ), references = 6, size of lhs = 3:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V3) | P_implies-{T}(V2,V1,V3)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #48: exists( #15, #2 ), references = 8, size of lhs = 4:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V2,V1,V4), P_implies-{F}(V4,V1,V5) | P_implies-{T}(V3,V2,V5)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #65: mergings( V2 == V4, V4 == V5, V5 == V8, V3 == V6; #59 ), references = 1, size of lhs = 6:
% 9.92/10.10 P_a-{F}(V0), P_not-{F}(V1,V0), P_truth-{F}(V2), P_not-{F}(V2,V0), P_b-{F}(V3), P_implies-{F}(V1,V3,V3) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #73: mergings( V2 == V0, V0 == V3; #70 ), references = 1, size of lhs = 3:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V0,V1,V2) | P_not-{T}(V0,V0)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #88: exists( #17, #11 ), references = 1, size of lhs = 3:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V2,V1,V3) | P_not-{T}(V2,V3)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #89: exists( #17, #12 ), references = 5, size of lhs = 3:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V3) | P_not-{T}(V3,V2)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #97: mergings( V3 == V4; #94 ), references = 1, size of lhs = 4:
% 9.92/10.10 P_truth-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V1,V2,V0) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #114: mergings( V3 == V5, V5 == V6, V6 == V7; #109 ), references = 3, size of lhs = 6:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_implies-{F}(V4,V3,V0), P_implies-{F}(V5,V3,V4), P_not-{F}(V6,V5) | P_implies-{T}(V6,V2,V5)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #118: mergings( V3 == V5, V5 == V6, V6 == V7; #110 ), references = 1, size of lhs = 7:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_not-{F}(V4,V5), P_implies-{F}(V5,V3,V6), P_implies-{F}(V6,V3,V7), P_implies-{F}(V7,V5,V8) | P_implies-{T}(V4,V2,V8)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #139: exists( #15, #8 ), references = 6, size of lhs = 3:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V2,V4,V3) | P_implies-{T}(V1,V4,V0)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #184: mergings( V3 == V5, V5 == V6, V6 == V7; #178 ), references = 1, size of lhs = 7:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_implies-{F}(V2,V3,V4), P_implies-{F}(V3,V2,V5), P_not-{F}(V5,V6), P_implies-{F}(V6,V3,V0) | P_implies-{T}(V5,V2,V0)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #188: mergings( V3 == V5, V5 == V6, V6 == V7; #179 ), references = 1, size of lhs = 7:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_implies-{F}(V2,V3,V4), P_implies-{F}(V3,V2,V5), P_not-{F}(V5,V6), P_implies-{F}(V6,V3,V0) | P_implies-{T}(V5,V2,V0)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #193: mergings( V3 == V5, V5 == V6, V6 == V7, V7 == V8; #180 ), references = 1, size of lhs = 8:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_implies-{F}(V2,V3,V4), P_implies-{F}(V3,V2,V5), P_not-{F}(V5,V6), P_implies-{F}(V6,V3,V7), P_implies-{F}(V7,V3,V3) | P_implies-{T}(V5,V2,V0)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #202: mergings( V3 == V5, V5 == V6, V6 == V7, V7 == V8; #196 ), references = 3, size of lhs = 8:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), V4 == V2, P_implies-{F}(V2,V4,V0), P_not-{F}(V4,V5), P_implies-{F}(V5,V3,V0) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #207: mergings( V3 == V5, V5 == V6, V6 == V7, V7 == V8; #197 ), references = 3, size of lhs = 10:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_not-{F}(V4,V5), P_implies-{F}(V5,V3,V0), P_implies-{F}(V2,V4,V6), P_implies-{F}(V6,V4,V7), P_implies-{F}(V0,V2,V8), V7 == V8 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #227: exists( #15, #10 ), references = 15, size of lhs = 4:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V4,V2,V5), P_implies-{F}(V1,V5,V6) | P_implies-{T}(V4,V3,V6)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #265: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V10, V3 == V5, V5 == V7, V7 == V11, V11 == V13; #254 ), references = 2, size of lhs = 9:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V1,V0,V0), V0 == V1, P_implies-{F}(V1,V2,V0), P_not-{F}(V2,V3), P_not-{F}(V0,V3), P_implies-{F}(V4,V3,V5), P_implies-{F}(V4,V1,V6), P_implies-{F}(V5,V1,V6) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #275: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V10, V3 == V5, V5 == V7, V7 == V11, V11 == V12; #255 ), references = 2, size of lhs = 11:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_implies-{F}(V3,V2,V0), P_implies-{F}(V3,V0,V4), P_implies-{F}(V4,V0,V5), P_implies-{F}(V0,V3,V6), V5 == V6, P_implies-{F}(V7,V1,V8), P_implies-{F}(V7,V3,V9), P_implies-{F}(V8,V3,V9) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #298: mergings( V3 == V4, V4 == V5, V5 == V6; #293 ), references = 1, size of lhs = 7:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V2,V1,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V5,V4,V0), P_implies-{F}(V6,V7,V2), P_implies-{F}(V5,V7,V8) | P_implies-{T}(V6,V8,V0)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #302: mergings( V3 == V4, V4 == V5, V5 == V6; #294 ), references = 1, size of lhs = 8:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V0,V0,V2), P_implies-{F}(V3,V1,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V6,V5,V0), P_implies-{F}(V7,V8,V3), P_implies-{F}(V6,V8,V9) | P_implies-{T}(V7,V9,V2)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #329: mergings( V2 == V4, V4 == V5, V3 == V6; #324 ), references = 2, size of lhs = 10:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), V4 == V2, P_implies-{F}(V2,V4,V0), P_not-{F}(V5,V6), P_implies-{F}(V5,V4,V7), P_implies-{F}(V8,V6,V3), P_implies-{F}(V8,V7,V0) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #333: mergings( V2 == V4, V4 == V5, V3 == V6; #325 ), references = 1, size of lhs = 12:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_implies-{F}(V4,V3,V5), P_not-{F}(V6,V5), P_implies-{F}(V5,V6,V7), P_implies-{F}(V2,V7,V8), P_implies-{F}(V4,V8,V0), P_implies-{F}(V6,V7,V9), P_implies-{F}(V9,V7,V10), P_implies-{F}(V0,V6,V11), V10 == V11 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #337: mergings( V0 == V6; #335 ), references = 1, size of lhs = 5:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V2,V0,V0), P_implies-{F}(V2,V3,V3), P_not-{F}(V4,V3) | P_implies-{T}(V3,V4,V4)
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #357: mergings( V3 == V4; #355 ), references = 1, size of lhs = 6:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V1,V2,V2), P_implies-{F}(V2,V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V1,V5,V6), V5 == V6 | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #383: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V10, V3 == V5, V5 == V7; #374 ), references = 1, size of lhs = 13:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_implies-{F}(V2,V3,V4), P_implies-{F}(V3,V2,V5), P_implies-{F}(V6,V5,V0), P_implies-{F}(V7,V4,V0), P_implies-{F}(V8,V4,V7), P_not-{F}(V9,V8), P_implies-{F}(V10,V8,V6), P_implies-{F}(V9,V1,V11), P_implies-{F}(V10,V11,V5) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #392: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V10, V3 == V5, V5 == V7, V7 == V11; #375 ), references = 1, size of lhs = 13:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_implies-{F}(V2,V3,V4), P_implies-{F}(V3,V2,V5), P_implies-{F}(V6,V5,V0), P_implies-{F}(V7,V4,V0), P_implies-{F}(V8,V4,V7), P_not-{F}(V9,V8), P_implies-{F}(V10,V8,V6), P_implies-{F}(V9,V1,V11), P_implies-{F}(V10,V11,V5) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #404: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V11, V4 == V6, V6 == V8; #395 ), references = 1, size of lhs = 9:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_implies-{F}(V2,V3,V4), P_implies-{F}(V2,V4,V5), P_implies-{F}(V5,V4,V0), P_not-{F}(V6,V2), P_implies-{F}(V6,V1,V2) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #413: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V11, V4 == V6, V6 == V8, V8 == V12; #396 ), references = 1, size of lhs = 9:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_implies-{F}(V2,V3,V4), P_implies-{F}(V2,V4,V5), P_implies-{F}(V5,V4,V0), P_not-{F}(V6,V2), P_implies-{F}(V6,V1,V2) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #432: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V14, V4 == V7, V7 == V9, V9 == V11; #420 ), references = 1, size of lhs = 9:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_not-{F}(V4,V2), P_implies-{F}(V4,V1,V2), P_not-{F}(V2,V5), P_implies-{F}(V2,V5,V5), P_not-{F}(V3,V6) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #444: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V14, V4 == V7, V7 == V9, V9 == V11, V11 == V15; #421 ), references = 1, size of lhs = 9:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_not-{F}(V4,V2), P_implies-{F}(V4,V1,V2), P_not-{F}(V2,V5), P_implies-{F}(V2,V5,V5), P_not-{F}(V3,V6) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #457: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V13, V3 == V6, V6 == V8, V8 == V10; #445 ), references = 1, size of lhs = 8:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_not-{F}(V4,V2), P_implies-{F}(V4,V1,V2), P_not-{F}(V2,V5), P_implies-{F}(V2,V5,V5) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #469: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V13, V3 == V6, V6 == V8, V8 == V10, V10 == V14; #446 ), references = 1, size of lhs = 8:
% 9.92/10.10 P_truth-{F}(V0), P_not-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_not-{F}(V4,V2), P_implies-{F}(V4,V1,V2), P_not-{F}(V2,V5), P_implies-{F}(V2,V5,V5) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #481: mergings( V3 == V4, V4 == V5, V5 == V0; #477 ), references = 1, size of lhs = 8:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V1,V0,V0), P_a-{F}(V2), P_implies-{F}(V1,V2,V2), P_implies-{F}(V0,V3,V2), P_not-{F}(V3,V4), P_not-{F}(V2,V4), P_b-{F}(V5) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #486: mergings( V3 == V0, V0 == V4, V4 == V5, V5 == V6; #476 ), references = 1, size of lhs = 8:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V1,V0,V0), P_a-{F}(V2), P_implies-{F}(V1,V2,V2), P_implies-{F}(V0,V3,V2), P_not-{F}(V3,V4), P_not-{F}(V2,V4), P_b-{F}(V5) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #492: mergings( V2 == V3, V3 == V4, V4 == V5; #487 ), references = 1, size of lhs = 6:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V1,V0,V0), P_a-{F}(V2), P_implies-{F}(V1,V2,V2), P_implies-{F}(V0,V2,V2), P_b-{F}(V3) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #498: mergings( V1 == V2, V2 == V3, V3 == V4; #493 ), references = 2, size of lhs = 5:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V1,V0,V0), P_a-{F}(V2), P_implies-{F}(V1,V2,V2), P_implies-{F}(V0,V2,V2) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #501: exists( #18, #499 ), references = 1, size of lhs = 2:
% 9.92/10.10 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0) | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 #504: exists( #16, #502 ), references = 1, size of lhs = 0:
% 9.92/10.10 FALSE | FALSE
% 9.92/10.10 (used 0 times, uses = {})
% 9.92/10.10
% 9.92/10.10 number of learnt formulas = 45
% 9.92/10.10
% 9.92/10.10
% 9.92/10.10 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.92/10.10
% 9.92/10.10 randbase = 1
%------------------------------------------------------------------------------