TSTP Solution File: LCL115-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL115-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 06:08:47 EDT 2022
% Result : Unsatisfiable 4.98s 5.22s
% Output : Refutation 4.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL115-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n022.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 22:08:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.98/5.22 GeoParameters:
% 4.98/5.22
% 4.98/5.22 tptp_input = 1
% 4.98/5.22 tptp_output = 0
% 4.98/5.22 nonempty = 1
% 4.98/5.22 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.98/5.22 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 4.98/5.22
% 4.98/5.22
% 4.98/5.22 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.98/5.22 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.98/5.22
% 4.98/5.22 RuleSystem INPUT:
% 4.98/5.22
% 4.98/5.22 Initial Rules:
% 4.98/5.22 #0: input, references = 5, size of lhs = 3:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V1,V2), V2 == V1 | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #1: input, references = 7, size of lhs = 7:
% 4.98/5.22 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
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #2: input, references = 7, size of lhs = 6:
% 4.98/5.22 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
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #3: input, references = 6, size of lhs = 7:
% 4.98/5.22 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
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #4: input, references = 7, size of lhs = 7:
% 4.98/5.22 P_truth-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V1,V2,V3), P_not-{F}(V3,V4), P_not-{F}(V2,V5), P_implies-{F}(V4,V5,V0) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #5: input, references = 21, size of lhs = 2:
% 4.98/5.22 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #6: input, references = 4, size of lhs = 0:
% 4.98/5.22 FALSE | EXISTS V0: P_truth-{T}(V0)
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #7: input, references = 17, size of lhs = 1:
% 4.98/5.22 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #8: input, references = 4, size of lhs = 0:
% 4.98/5.22 FALSE | EXISTS V0: P_a-{T}(V0)
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #9: input, references = 5, size of lhs = 0:
% 4.98/5.22 FALSE | EXISTS V0: P_b-{T}(V0)
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 number of initial rules = 10
% 4.98/5.22
% 4.98/5.22 Simplifiers:
% 4.98/5.22 #10: unsound, references = 3, size of lhs = 3:
% 4.98/5.22 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #11: unsound, references = 3, size of lhs = 3:
% 4.98/5.22 P_truth-{F}(V0), P_truth-{F}(V1), V0 == V1 | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #12: unsound, references = 3, size of lhs = 3:
% 4.98/5.22 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #13: unsound, references = 3, size of lhs = 3:
% 4.98/5.22 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #14: unsound, references = 3, size of lhs = 3:
% 4.98/5.22 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 number of simplifiers = 5
% 4.98/5.22
% 4.98/5.22 Learnt:
% 4.98/5.22 #16: exists( #5, #0 ), references = 31, size of lhs = 2:
% 4.98/5.22 P_truth-{F}(V0), #-{F} V1 | P_implies-{T}(V0,V1,V1)
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #20: mergings( V3 == V4; #18 ), references = 4, size of lhs = 4:
% 4.98/5.22 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_not-{F}(V4,V3) | P_implies-{T}(V4,V1,V0)
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #23: exists( #5, #1 ), references = 4, size of lhs = 5:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V2,V4,V5), P_implies-{F}(V1,V4,V6), P_implies-{F}(V5,V6,V7) | P_implies-{T}(V3,V7,V0)
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #29: exists( #5, #2 ), references = 4, size of lhs = 4:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V2,V1,V5) | P_implies-{T}(V5,V1,V4)
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #38: mergings( V3 == V4; #35 ), references = 15, size of lhs = 4:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V4), P_implies-{F}(V1,V3,V5) | P_implies-{T}(V4,V5,V0)
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #45: mergings( V2 == V3, V3 == V4; #42 ), references = 2, size of lhs = 5:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V1,V2,V2) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #49: mergings( V1 == V2; #47 ), references = 1, size of lhs = 3:
% 4.98/5.22 P_a-{F}(V0), P_truth-{F}(V0), P_implies-{F}(V0,V0,V0) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #54: mergings( V3 == V4; #52 ), references = 6, size of lhs = 5:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V1,V2,V2), P_implies-{F}(V1,V3,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V3) | P_implies-{T}(V2,V3,V0)
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #64: mergings( V3 == V4; #62 ), references = 4, size of lhs = 3:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V0) | P_implies-{T}(V1,V3,V0)
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #70: mergings( V3 == V4; #68 ), references = 2, size of lhs = 7:
% 4.98/5.22 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V5,V2,V6), V6 == V0 | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #75: exists( #5, #3 ), references = 7, size of lhs = 5:
% 4.98/5.22 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V2,V4,V5), P_implies-{F}(V3,V1,V6) | P_implies-{T}(V5,V6,V0)
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #124: mergings( V3 == V4; #121 ), references = 2, size of lhs = 11:
% 4.98/5.22 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_not-{F}(V4,V5), P_implies-{F}(V3,V5,V6), P_implies-{F}(V4,V1,V7), P_implies-{F}(V7,V8,V9), P_implies-{F}(V6,V8,V10), P_implies-{F}(V9,V10,V11), P_implies-{F}(V0,V11,V12), V12 == V0 | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #127: mergings( V3 == V4; #125 ), references = 2, size of lhs = 11:
% 4.98/5.22 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_not-{F}(V4,V5), P_implies-{F}(V3,V5,V6), P_implies-{F}(V4,V1,V7), P_implies-{F}(V7,V8,V9), P_implies-{F}(V6,V8,V10), P_implies-{F}(V9,V10,V11), P_implies-{F}(V0,V11,V12), V12 == V0 | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #132: exists( #5, #128 ), references = 12, size of lhs = 7:
% 4.98/5.22 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_not-{F}(V4,V5), P_implies-{F}(V3,V5,V6), P_implies-{F}(V4,V1,V7), P_implies-{F}(V7,V8,V0) | P_implies-{T}(V6,V8,V0)
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #133: exists( #5, #129 ), references = 1, size of lhs = 7:
% 4.98/5.22 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_not-{F}(V4,V5), P_implies-{F}(V3,V5,V6), P_implies-{F}(V4,V1,V7), P_implies-{F}(V7,V8,V0) | P_implies-{T}(V6,V8,V0)
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #140: mergings( V2 == V3; #138 ), references = 4, size of lhs = 11:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V1,V2,V3), P_not-{F}(V3,V4), P_not-{F}(V2,V5), P_implies-{F}(V6,V5,V0), P_implies-{F}(V0,V7,V4), P_not-{F}(V8,V7), P_implies-{F}(V8,V9,V6) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #146: mergings( V2 == V3, V3 == V4; #143 ), references = 1, size of lhs = 8:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V1,V2,V3), P_not-{F}(V3,V4), P_not-{F}(V0,V5), P_implies-{F}(V0,V5,V4) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #151: mergings( V0 == V2, V2 == V3; #148 ), references = 1, size of lhs = 5:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V1,V2,V0) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #165: mergings( V2 == V3, V3 == V4; #162 ), references = 2, size of lhs = 14:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V5,V0), P_not-{F}(V6,V7), P_implies-{F}(V5,V7,V8), P_implies-{F}(V6,V3,V9), P_not-{F}(V10,V8), P_implies-{F}(V10,V11,V8), P_not-{F}(V11,V12), P_implies-{F}(V9,V12,V0), P_implies-{F}(V0,V12,V13), V13 == V0 | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #173: mergings( V2 == V3, V3 == V4, V4 == V5; #169 ), references = 5, size of lhs = 13:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V0,V1,V0), P_not-{F}(V0,V2), P_implies-{F}(V1,V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V4,V5,V3), P_implies-{F}(V6,V0,V0), P_not-{F}(V7,V6), P_implies-{F}(V8,V7,V0), P_implies-{F}(V5,V9,V8), P_not-{F}(V9,V10), P_implies-{F}(V10,V0,V0) | P_not-{T}(V5,V0)
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #194: exists( #5, #189 ), references = 2, size of lhs = 15:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V2), P_not-{F}(V4,V5), P_implies-{F}(V3,V4,V6), P_not-{F}(V7,V8), P_implies-{F}(V6,V8,V9), P_implies-{F}(V7,V5,V10), P_not-{F}(V11,V9), P_implies-{F}(V11,V12,V9), P_not-{F}(V12,V13), P_implies-{F}(V10,V13,V0), P_implies-{F}(V0,V13,V14), V14 == V0 | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #201: mergings( V3 == V4, V4 == V5; #198 ), references = 1, size of lhs = 8:
% 4.98/5.22 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V5), P_implies-{F}(V4,V1,V6), P_implies-{F}(V0,V6,V7), P_not-{F}(V5,V8), P_implies-{F}(V8,V3,V6) | P_implies-{T}(V2,V5,V7)
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #205: exists( #7, #203 ), references = 1, size of lhs = 10:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_implies-{F}(V2,V0,V0), P_not-{F}(V3,V2), P_not-{F}(V4,V3), P_implies-{F}(V4,V5,V6), P_implies-{F}(V6,V1,V7), P_not-{F}(V8,V7), P_implies-{F}(V8,V5,V7) | P_not-{T}(V5,V0)
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #222: mergings( V2 == V3, V3 == V4, V4 == V0, V0 == V5; #216 ), references = 1, size of lhs = 22:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V1,V2,V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V0,V0), P_implies-{F}(V5,V0,V0), P_implies-{F}(V0,V6,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V0,V0), P_implies-{F}(V8,V0,V0), P_not-{F}(V9,V8), P_not-{F}(V10,V9), P_implies-{F}(V10,V2,V11), P_not-{F}(V12,V11), P_not-{F}(V11,V13), P_implies-{F}(V0,V12,V14), P_implies-{F}(V0,V13,V14), P_implies-{F}(V0,V14,V15), P_not-{F}(V16,V15), P_implies-{F}(V16,V2,V15) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #227: mergings( V2 == V3, V3 == V4, V4 == V0, V0 == V5; #217 ), references = 1, size of lhs = 25:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V1,V2,V3), P_not-{F}(V3,V4), P_implies-{F}(V5,V0,V0), P_implies-{F}(V0,V6,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V0,V0), P_implies-{F}(V8,V0,V0), P_not-{F}(V9,V8), P_not-{F}(V10,V9), P_implies-{F}(V10,V2,V11), P_not-{F}(V12,V11), P_not-{F}(V11,V13), P_implies-{F}(V0,V12,V14), P_implies-{F}(V0,V13,V14), P_implies-{F}(V0,V14,V15), P_not-{F}(V16,V15), P_implies-{F}(V16,V2,V15), P_implies-{F}(V17,V0,V0), P_implies-{F}(V0,V18,V4), P_not-{F}(V19,V18), P_implies-{F}(V19,V20,V17) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #243: exists( #5, #241 ), references = 1, size of lhs = 14:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V1,V2,V3), P_not-{F}(V3,V4), P_not-{F}(V2,V5), P_implies-{F}(V6,V5,V0), P_implies-{F}(V0,V7,V4), P_not-{F}(V8,V7), P_implies-{F}(V9,V8,V0), P_not-{F}(V10,V9), P_implies-{F}(V11,V10,V6), P_not-{F}(V11,V12) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #246: exists( #7, #244 ), references = 1, size of lhs = 11:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V1,V2,V3), P_not-{F}(V2,V4), P_implies-{F}(V5,V4,V0), P_implies-{F}(V6,V3,V0), P_not-{F}(V7,V6), P_implies-{F}(V8,V7,V5), P_not-{F}(V8,V9) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #289: mergings( V3 == V4, V4 == V5; #284 ), references = 2, size of lhs = 7:
% 4.98/5.22 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_not-{F}(V4,V5), P_implies-{F}(V4,V1,V6), P_implies-{F}(V3,V5,V6), P_implies-{F}(V0,V6,V7) | P_implies-{T}(V2,V5,V7)
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #296: mergings( V2 == V3, V3 == V4; #293 ), references = 1, size of lhs = 10:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_implies-{F}(V3,V2,V4), P_implies-{F}(V0,V3,V5), P_implies-{F}(V4,V6,V0), P_not-{F}(V7,V6), P_implies-{F}(V3,V7,V8), P_implies-{F}(V8,V7,V9), V9 == V5 | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #307: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V8 == V10, V10 == V16; #300 ), references = 3, size of lhs = 13:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V2), P_implies-{F}(V4,V1,V0), P_implies-{F}(V2,V4,V5), P_implies-{F}(V5,V4,V6), P_implies-{F}(V0,V6,V4), P_implies-{F}(V3,V7,V6), P_not-{F}(V7,V8), P_implies-{F}(V0,V8,V9), P_not-{F}(V4,V10), P_implies-{F}(V1,V10,V8) | P_implies-{T}(V4,V2,V9)
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #316: exists( #7, #313 ), references = 1, size of lhs = 15:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V0,V0), P_not-{F}(V2,V4), P_implies-{F}(V5,V3,V0), P_not-{F}(V6,V0), P_implies-{F}(V5,V6,V4), P_not-{F}(V7,V6), P_implies-{F}(V7,V3,V8), P_implies-{F}(V0,V8,V3), P_implies-{F}(V6,V3,V9), P_implies-{F}(V9,V3,V8) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #318: mergings( V2 == V3; #315 ), references = 1, size of lhs = 15:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V0,V0), P_not-{F}(V2,V4), P_implies-{F}(V5,V3,V0), P_not-{F}(V6,V0), P_implies-{F}(V5,V6,V4), P_not-{F}(V7,V6), P_implies-{F}(V7,V3,V8), P_implies-{F}(V0,V8,V3), P_implies-{F}(V6,V3,V9), P_implies-{F}(V9,V3,V8) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #340: mergings( V2 == V8, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V14, V14 == V15, V15 == V16; #329 ), references = 1, size of lhs = 21:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V2,V0,V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V0,V0), P_implies-{F}(V2,V3,V0), P_implies-{F}(V0,V3,V4), P_implies-{F}(V0,V4,V3), P_implies-{F}(V5,V3,V4), P_not-{F}(V5,V6), P_not-{F}(V6,V0), P_not-{F}(V7,V6), P_implies-{F}(V7,V2,V8), P_implies-{F}(V0,V8,V2), P_implies-{F}(V0,V2,V8), P_implies-{F}(V9,V0,V0), P_implies-{F}(V2,V10,V9), P_not-{F}(V10,V11), P_implies-{F}(V11,V0,V0) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #351: mergings( V2 == V9, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V15, V15 == V16, V16 == V17; #330 ), references = 1, size of lhs = 21:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V2,V0,V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V0,V0), P_implies-{F}(V2,V3,V0), P_implies-{F}(V0,V3,V4), P_implies-{F}(V0,V4,V3), P_implies-{F}(V5,V3,V4), P_not-{F}(V5,V6), P_not-{F}(V6,V0), P_not-{F}(V7,V6), P_implies-{F}(V7,V2,V8), P_implies-{F}(V0,V8,V2), P_implies-{F}(V0,V2,V8), P_implies-{F}(V9,V0,V0), P_implies-{F}(V2,V10,V9), P_not-{F}(V10,V11), P_implies-{F}(V11,V0,V0) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #365: mergings( V0 == V11, V2 == V3, V3 == V4, V4 == V5, V5 == V11; #358 ), references = 1, size of lhs = 16:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V2,V0,V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V0,V0), P_implies-{F}(V2,V3,V0), P_implies-{F}(V0,V3,V4), P_implies-{F}(V0,V4,V3), P_implies-{F}(V0,V2,V5), P_implies-{F}(V0,V5,V2), P_implies-{F}(V6,V0,V0), P_implies-{F}(V0,V7,V6), P_not-{F}(V7,V8), P_implies-{F}(V8,V0,V0) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #372: mergings( V0 == V12, V12 == V6, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #359 ), references = 1, size of lhs = 16:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V2,V0,V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V0,V0), P_implies-{F}(V2,V3,V0), P_implies-{F}(V0,V3,V4), P_implies-{F}(V0,V4,V3), P_implies-{F}(V0,V2,V5), P_implies-{F}(V0,V5,V2), P_implies-{F}(V6,V0,V0), P_implies-{F}(V0,V7,V6), P_not-{F}(V7,V8), P_implies-{F}(V8,V0,V0) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #386: mergings( V7 == V9, V3 == V4, V4 == V5, V5 == V6, V6 == V9; #379 ), references = 2, size of lhs = 16:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V2,V0,V0), P_implies-{F}(V0,V2,V3), P_implies-{F}(V0,V3,V2), P_implies-{F}(V1,V4,V0), P_implies-{F}(V4,V2,V2), P_implies-{F}(V5,V0,V0), P_implies-{F}(V0,V6,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V0,V0), P_implies-{F}(V2,V8,V9), P_implies-{F}(V1,V8,V10), P_implies-{F}(V9,V10,V0) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #392: mergings( V7 == V9, V3 == V4, V4 == V5, V5 == V6, V6 == V9; #380 ), references = 2, size of lhs = 16:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V2,V0,V0), P_implies-{F}(V0,V2,V3), P_implies-{F}(V0,V3,V2), P_implies-{F}(V1,V4,V0), P_implies-{F}(V4,V2,V2), P_implies-{F}(V5,V0,V0), P_implies-{F}(V0,V6,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V0,V0), P_implies-{F}(V2,V8,V9), P_implies-{F}(V1,V8,V10), P_implies-{F}(V9,V10,V0) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #401: exists( #7, #397 ), references = 1, size of lhs = 14:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V2,V0,V0), P_implies-{F}(V0,V2,V3), P_implies-{F}(V0,V3,V2), P_implies-{F}(V1,V4,V0), P_implies-{F}(V4,V2,V2), P_implies-{F}(V5,V0,V0), P_implies-{F}(V0,V6,V5), P_implies-{F}(V2,V7,V8), P_implies-{F}(V1,V7,V9), P_implies-{F}(V8,V9,V0) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #402: exists( #7, #398 ), references = 1, size of lhs = 14:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V2,V0,V0), P_implies-{F}(V0,V2,V3), P_implies-{F}(V0,V3,V2), P_implies-{F}(V1,V4,V0), P_implies-{F}(V4,V2,V2), P_implies-{F}(V5,V0,V0), P_implies-{F}(V0,V6,V5), P_implies-{F}(V2,V7,V8), P_implies-{F}(V1,V7,V9), P_implies-{F}(V8,V9,V0) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #412: mergings( V1 == V3; #409 ), references = 2, size of lhs = 6:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_implies-{F}(V1,V0,V0), P_implies-{F}(V2,V0,V0), P_implies-{F}(V0,V3,V2) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #417: exists( #8, #415 ), references = 1, size of lhs = 4:
% 4.98/5.22 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V0,V0), P_implies-{F}(V0,V2,V1) | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 #420: exists( #6, #418 ), references = 1, size of lhs = 0:
% 4.98/5.22 FALSE | FALSE
% 4.98/5.22 (used 0 times, uses = {})
% 4.98/5.22
% 4.98/5.22 number of learnt formulas = 43
% 4.98/5.22
% 4.98/5.22
% 4.98/5.22 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.98/5.22
% 4.98/5.22 randbase = 1
%------------------------------------------------------------------------------