TSTP Solution File: LCL116-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL116-2 : 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 06:08:47 EDT 2022
% Result : Unsatisfiable 12.85s 13.02s
% Output : Refutation 12.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL116-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n015.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 22:40:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 12.85/13.02 GeoParameters:
% 12.85/13.02
% 12.85/13.02 tptp_input = 1
% 12.85/13.02 tptp_output = 0
% 12.85/13.02 nonempty = 1
% 12.85/13.02 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.85/13.02 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 12.85/13.02
% 12.85/13.02
% 12.85/13.02 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.85/13.02 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.85/13.02
% 12.85/13.02 RuleSystem INPUT:
% 12.85/13.02
% 12.85/13.02 Initial Rules:
% 12.85/13.02 #0: input, references = 5, size of lhs = 3:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V1,V2), V2 == V1 | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #1: input, references = 9, size of lhs = 7:
% 12.85/13.02 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
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #2: input, references = 8, size of lhs = 6:
% 12.85/13.02 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
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #3: input, references = 6, size of lhs = 7:
% 12.85/13.02 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
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #4: input, references = 8, size of lhs = 8:
% 12.85/13.02 P_truth-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_b-{F}(V3), P_implies-{F}(V3,V1,V4), P_not-{F}(V4,V5), P_implies-{F}(V3,V5,V6), P_implies-{F}(V2,V6,V0) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #5: input, references = 28, size of lhs = 2:
% 12.85/13.02 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #6: input, references = 4, size of lhs = 0:
% 12.85/13.02 FALSE | EXISTS V0: P_truth-{T}(V0)
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #7: input, references = 25, size of lhs = 1:
% 12.85/13.02 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #8: input, references = 4, size of lhs = 0:
% 12.85/13.02 FALSE | EXISTS V0: P_a-{T}(V0)
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #9: input, references = 4, size of lhs = 0:
% 12.85/13.02 FALSE | EXISTS V0: P_b-{T}(V0)
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 number of initial rules = 10
% 12.85/13.02
% 12.85/13.02 Simplifiers:
% 12.85/13.02 #10: unsound, references = 3, size of lhs = 3:
% 12.85/13.02 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #11: unsound, references = 3, size of lhs = 3:
% 12.85/13.02 P_truth-{F}(V0), P_truth-{F}(V1), V0 == V1 | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #12: unsound, references = 3, size of lhs = 3:
% 12.85/13.02 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #13: unsound, references = 3, size of lhs = 3:
% 12.85/13.02 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #14: unsound, references = 3, size of lhs = 3:
% 12.85/13.02 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 number of simplifiers = 5
% 12.85/13.02
% 12.85/13.02 Learnt:
% 12.85/13.02 #16: exists( #5, #0 ), references = 43, size of lhs = 2:
% 12.85/13.02 P_truth-{F}(V0), #-{F} V1 | P_implies-{T}(V0,V1,V1)
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #20: mergings( V3 == V4; #18 ), references = 15, size of lhs = 4:
% 12.85/13.02 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)
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #23: exists( #5, #1 ), references = 9, size of lhs = 5:
% 12.85/13.02 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)
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #29: exists( #5, #2 ), references = 20, size of lhs = 4:
% 12.85/13.02 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)
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #38: mergings( V3 == V4; #35 ), references = 27, size of lhs = 4:
% 12.85/13.02 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)
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #45: mergings( V2 == V3, V3 == V4; #42 ), references = 1, size of lhs = 5:
% 12.85/13.02 P_b-{F}(V0), P_implies-{F}(V0,V0,V0), P_truth-{F}(V0), P_a-{F}(V1), P_implies-{F}(V0,V1,V1) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #49: mergings( V3 == V4; #47 ), references = 16, size of lhs = 5:
% 12.85/13.02 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)
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #59: mergings( V2 == V3, V3 == V4; #56 ), references = 2, size of lhs = 9:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V0), P_b-{F}(V3), P_not-{F}(V3,V0), P_implies-{F}(V3,V1,V4), P_not-{F}(V4,V5) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #63: mergings( V2 == V3, V3 == V4; #60 ), references = 3, size of lhs = 8:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V0), P_b-{F}(V3), P_not-{F}(V3,V0), P_implies-{F}(V3,V1,V4) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #74: mergings( V2 == V3, V3 == V4; #71 ), references = 1, size of lhs = 8:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_implies-{F}(V3,V2,V5), P_implies-{F}(V0,V5,V6), V6 == V0 | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #76: exists( #5, #3 ), references = 7, size of lhs = 5:
% 12.85/13.02 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)
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #79: exists( #5, #77 ), references = 1, size of lhs = 9:
% 12.85/13.02 P_truth-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_b-{F}(V3), P_implies-{F}(V3,V1,V4), P_not-{F}(V4,V5), P_not-{F}(V5,V6), P_not-{F}(V3,V7), P_implies-{F}(V6,V7,V2) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #94: mergings( V3 == V4, V4 == V5; #91 ), references = 1, size of lhs = 10:
% 12.85/13.02 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}(V6,V7,V8), P_implies-{F}(V0,V8,V9), P_implies-{F}(V0,V9,V10), V10 == V0 | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #98: mergings( V3 == V4; #96 ), references = 24, size of lhs = 6:
% 12.85/13.02 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-{T}(V6,V7,V0)
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #112: exists( #5, #106 ), references = 1, size of lhs = 10:
% 12.85/13.02 P_truth-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_b-{F}(V3), P_implies-{F}(V3,V1,V4), P_not-{F}(V4,V5), P_not-{F}(V5,V6), P_implies-{F}(V6,V7,V0), P_not-{F}(V3,V8), P_implies-{F}(V7,V8,V2) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #117: mergings( V2 == V3; #115 ), references = 2, size of lhs = 11:
% 12.85/13.02 P_truth-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_b-{F}(V3), P_implies-{F}(V3,V1,V4), P_not-{F}(V4,V5), P_not-{F}(V3,V6), P_implies-{F}(V7,V6,V2), P_implies-{F}(V5,V8,V7), P_not-{F}(V8,V9), P_implies-{F}(V9,V0,V0) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #123: mergings( V0 == V2; #121 ), references = 1, size of lhs = 8:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_b-{F}(V3), P_implies-{F}(V3,V1,V0), P_not-{F}(V3,V4), P_implies-{F}(V0,V4,V2) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #127: mergings( V2 == V3; #125 ), references = 1, size of lhs = 5:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V1), P_implies-{F}(V1,V1,V0) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #140: mergings( V3 == V4, V4 == V5; #137 ), references = 1, size of lhs = 11:
% 12.85/13.02 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_not-{F}(V5,V7), P_implies-{F}(V7,V3,V8), P_implies-{F}(V8,V6,V9), P_implies-{F}(V0,V9,V10), P_implies-{F}(V0,V10,V11), V11 == V0 | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #152: mergings( V3 == V4, V4 == V5; #149 ), references = 2, size of lhs = 10:
% 12.85/13.02 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V5), P_implies-{F}(V4,V2,V6), P_implies-{F}(V6,V2,V7), P_implies-{F}(V5,V4,V8), P_implies-{F}(V8,V7,V9), P_implies-{F}(V0,V9,V10), V10 == V0 | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #164: mergings( V3 == V4, V4 == V5; #161 ), references = 4, size of lhs = 7:
% 12.85/13.02 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)
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #177: mergings( V3 == V4, V4 == V5; #173 ), references = 12, size of lhs = 8:
% 12.85/13.02 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V5), P_implies-{F}(V0,V5,V6), P_implies-{F}(V7,V8,V5), P_implies-{F}(V8,V9,V2), P_implies-{F}(V7,V9,V4) | P_implies-{T}(V2,V4,V6)
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #192: mergings( V2 == V3, V3 == V4; #189 ), references = 2, size of lhs = 11:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V6), P_implies-{F}(V4,V6,V7), P_implies-{F}(V5,V3,V8), P_implies-{F}(V0,V8,V9), P_implies-{F}(V8,V7,V10), P_implies-{F}(V10,V7,V11), V9 == V11 | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #201: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #196 ), references = 3, size of lhs = 22:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_not-{F}(V3,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}(V0,V8,V11), P_not-{F}(V12,V13), P_implies-{F}(V14,V13,V9), P_implies-{F}(V13,V14,V15), P_implies-{F}(V15,V14,V16), P_implies-{F}(V12,V10,V16), P_implies-{F}(V0,V16,V17), P_implies-{F}(V17,V13,V18), V11 == V18, P_implies-{F}(V19,V2,V20), P_implies-{F}(V21,V19,V8), P_not-{F}(V21,V22), P_implies-{F}(V20,V22,V13) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #210: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #204 ), references = 14, size of lhs = 18:
% 12.85/13.02 P_truth-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V3,V2), P_implies-{F}(V4,V0,V0), P_not-{F}(V5,V4), P_implies-{F}(V6,V0,V0), P_not-{F}(V7,V6), P_implies-{F}(V8,V7,V5), P_implies-{F}(V3,V8,V9), P_implies-{F}(V0,V9,V10), P_implies-{F}(V10,V2,V11), P_implies-{F}(V12,V0,V0), P_not-{F}(V13,V12), P_implies-{F}(V8,V13,V14), P_implies-{F}(V15,V2,V14), P_implies-{F}(V2,V15,V16), P_implies-{F}(V16,V15,V9) | P_not-{T}(V8,V11)
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #212: exists( #5, #63 ), references = 2, size of lhs = 7:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V0), P_b-{F}(V3), P_not-{F}(V3,V0) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #217: exists( #5, #201 ), references = 16, size of lhs = 18:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_implies-{F}(V0,V4,V5), P_not-{F}(V6,V7), P_not-{F}(V7,V8), P_implies-{F}(V8,V9,V0), P_implies-{F}(V6,V3,V10), P_implies-{F}(V0,V10,V11), P_not-{F}(V11,V12), P_implies-{F}(V9,V12,V4), P_implies-{F}(V7,V11,V13), P_implies-{F}(V13,V11,V10), P_implies-{F}(V14,V2,V15), P_implies-{F}(V16,V14,V4), P_not-{F}(V16,V17), P_implies-{F}(V15,V17,V7) | P_implies-{T}(V11,V7,V5)
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #241: mergings( V16 == V17, V2 == V3, V3 == V4, V4 == V5, V10 == V11, V5 == V13, V13 == V15; #233 ), references = 1, size of lhs = 16:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_b-{F}(V3), P_implies-{F}(V3,V1,V4), P_not-{F}(V3,V5), P_not-{F}(V0,V6), P_implies-{F}(V6,V0,V0), P_implies-{F}(V0,V6,V7), P_not-{F}(V7,V0), P_not-{F}(V8,V7), P_implies-{F}(V8,V4,V9), P_implies-{F}(V0,V9,V4), P_implies-{F}(V0,V4,V9), P_implies-{F}(V9,V5,V2) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #254: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V14, V9 == V10, V10 == V11, V6 == V12, V12 == V13; #245 ), references = 1, size of lhs = 14:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V0,V4), P_implies-{F}(V4,V0,V0), P_implies-{F}(V0,V4,V4), P_not-{F}(V4,V0), P_not-{F}(V1,V5), P_implies-{F}(V3,V5,V6), P_implies-{F}(V6,V5,V5), P_implies-{F}(V1,V7,V5), P_implies-{F}(V2,V7,V3) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #277: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V10 == V16, V11 == V12, V12 == V13, V8 == V14, V13 == V24, V24 == V20, V14 == V15, V15 == V21, V21 == V23, V22 == V20; #260 ), references = 1, size of lhs = 20:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_not-{F}(V1,V3), P_implies-{F}(V0,V3,V3), P_implies-{F}(V4,V2,V0), P_implies-{F}(V0,V2,V5), P_implies-{F}(V0,V5,V2), P_implies-{F}(V6,V2,V5), P_not-{F}(V6,V7), P_implies-{F}(V1,V7,V3), P_implies-{F}(V4,V7,V3), P_implies-{F}(V7,V0,V0), P_not-{F}(V7,V0), P_not-{F}(V0,V7), P_implies-{F}(V0,V7,V7), P_implies-{F}(V2,V8,V0), P_not-{F}(V8,V9), P_implies-{F}(V9,V0,V0) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #295: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V0, V0 == V8, V8 == V9, V11 == V12, V12 == V14; #284 ), references = 1, size of lhs = 24:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V0,V0), P_not-{F}(V1,V3), P_implies-{F}(V0,V3,V3), P_implies-{F}(V0,V2,V4), P_implies-{F}(V0,V4,V2), P_implies-{F}(V0,V5,V0), P_implies-{F}(V5,V3,V6), P_implies-{F}(V0,V6,V3), P_not-{F}(V7,V6), P_implies-{F}(V0,V7,V8), P_implies-{F}(V0,V8,V1), P_implies-{F}(V0,V1,V8), P_implies-{F}(V0,V9,V1), P_not-{F}(V9,V10), P_implies-{F}(V10,V0,V0), P_implies-{F}(V0,V11,V6), P_implies-{F}(V11,V12,V0), P_not-{F}(V12,V13), P_implies-{F}(V13,V0,V0) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #305: mergings( V2 == V3; #302 ), references = 1, size of lhs = 13:
% 12.85/13.02 P_truth-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V2,V0,V0), P_implies-{F}(V3,V0,V0), P_not-{F}(V4,V3), P_not-{F}(V5,V2), P_not-{F}(V6,V5), P_implies-{F}(V7,V1,V5), P_implies-{F}(V7,V5,V8), P_implies-{F}(V0,V9,V7), P_implies-{F}(V6,V10,V9), P_implies-{F}(V10,V4,V11), P_implies-{F}(V11,V5,V9) | P_not-{T}(V10,V8)
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #307: mergings( V2 == V3; #303 ), references = 1, size of lhs = 22:
% 12.85/13.02 P_truth-{F}(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}(V5,V0,V0), P_not-{F}(V6,V5), P_implies-{F}(V7,V0,V0), P_not-{F}(V8,V7), P_implies-{F}(V9,V6,V10), P_implies-{F}(V4,V9,V11), P_implies-{F}(V10,V3,V11), P_implies-{F}(V0,V11,V12), P_implies-{F}(V9,V8,V13), P_implies-{F}(V12,V1,V14), P_not-{F}(V15,V14), P_implies-{F}(V16,V14,V13), P_implies-{F}(V14,V16,V17), P_implies-{F}(V17,V16,V18), P_implies-{F}(V15,V9,V18), P_implies-{F}(V0,V18,V19), P_implies-{F}(V19,V14,V20) | P_not-{T}(V9,V20)
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #334: mergings( V2 == V0, V0 == V3; #329 ), references = 1, size of lhs = 27:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V0), P_b-{F}(V3), P_implies-{F}(V0,V4,V0), P_implies-{F}(V3,V0,V5), P_implies-{F}(V6,V0,V0), P_implies-{F}(V0,V6,V7), P_implies-{F}(V0,V7,V8), P_not-{F}(V8,V9), P_implies-{F}(V9,V0,V0), P_not-{F}(V10,V8), P_implies-{F}(V10,V3,V11), P_implies-{F}(V5,V8,V11), P_implies-{F}(V0,V11,V12), P_implies-{F}(V12,V8,V0), P_not-{F}(V12,V13), P_implies-{F}(V4,V13,V7), P_not-{F}(V14,V7), P_implies-{F}(V0,V14,V15), P_implies-{F}(V0,V15,V12), P_implies-{F}(V0,V12,V15), P_implies-{F}(V0,V16,V12), P_not-{F}(V16,V17), P_implies-{F}(V17,V0,V0) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #337: mergings( V2 == V0, V0 == V3; #330 ), references = 1, size of lhs = 28:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V0), P_b-{F}(V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V0,V5,V0), P_implies-{F}(V3,V0,V6), P_implies-{F}(V7,V0,V0), P_implies-{F}(V0,V7,V8), P_implies-{F}(V0,V8,V9), P_not-{F}(V9,V10), P_implies-{F}(V10,V0,V0), P_not-{F}(V11,V9), P_implies-{F}(V11,V3,V12), P_implies-{F}(V6,V9,V12), P_implies-{F}(V0,V12,V13), P_implies-{F}(V13,V9,V0), P_not-{F}(V13,V14), P_implies-{F}(V5,V14,V8), P_not-{F}(V15,V8), P_implies-{F}(V0,V15,V16), P_implies-{F}(V0,V16,V13), P_implies-{F}(V0,V13,V16), P_implies-{F}(V0,V17,V13), P_not-{F}(V17,V18), P_implies-{F}(V18,V0,V0) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #340: mergings( V2 == V0, V0 == V3; #331 ), references = 1, size of lhs = 28:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V0), P_b-{F}(V3), P_implies-{F}(V3,V1,V0), P_implies-{F}(V0,V4,V0), P_implies-{F}(V3,V0,V5), P_implies-{F}(V6,V0,V0), P_implies-{F}(V0,V6,V7), P_implies-{F}(V0,V7,V8), P_not-{F}(V8,V9), P_implies-{F}(V9,V0,V0), P_not-{F}(V10,V8), P_implies-{F}(V10,V3,V11), P_implies-{F}(V5,V8,V11), P_implies-{F}(V0,V11,V12), P_implies-{F}(V12,V8,V0), P_not-{F}(V12,V13), P_implies-{F}(V4,V13,V7), P_not-{F}(V14,V7), P_implies-{F}(V0,V14,V15), P_implies-{F}(V0,V15,V12), P_implies-{F}(V0,V12,V15), P_implies-{F}(V0,V16,V12), P_not-{F}(V16,V17), P_implies-{F}(V17,V0,V0) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #376: mergings( V3 == V4, V4 == V5, V5 == V6; #370 ), references = 1, size of lhs = 16:
% 12.85/13.02 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V1,V3,V2), P_implies-{F}(V1,V4,V5), P_not-{F}(V5,V6), P_implies-{F}(V6,V2,V7), P_implies-{F}(V7,V2,V8), P_implies-{F}(V5,V9,V6), P_implies-{F}(V4,V1,V10), P_not-{F}(V10,V6), P_implies-{F}(V10,V3,V6), P_not-{F}(V4,V11), P_implies-{F}(V4,V9,V11), P_implies-{F}(V6,V11,V12), P_implies-{F}(V12,V11,V13), V8 == V13 | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #380: mergings( V3 == V4, V4 == V5, V5 == V6; #371 ), references = 1, size of lhs = 17:
% 12.85/13.02 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V1,V3,V2), P_not-{F}(V4,V5), P_implies-{F}(V4,V6,V5), P_implies-{F}(V4,V1,V7), P_not-{F}(V7,V8), P_implies-{F}(V7,V3,V8), P_implies-{F}(V8,V2,V9), P_implies-{F}(V9,V2,V10), P_implies-{F}(V1,V4,V11), P_not-{F}(V11,V12), P_implies-{F}(V11,V6,V12), P_implies-{F}(V13,V12,V8), P_implies-{F}(V13,V5,V14), P_implies-{F}(V14,V10,V15), V15 == V0 | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #384: mergings( V3 == V4, V4 == V5, V5 == V6; #372 ), references = 1, size of lhs = 20:
% 12.85/13.02 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V1,V3,V2), P_not-{F}(V4,V5), P_implies-{F}(V5,V2,V6), P_implies-{F}(V6,V2,V7), P_not-{F}(V8,V5), P_implies-{F}(V8,V3,V5), P_implies-{F}(V9,V1,V8), P_implies-{F}(V1,V9,V10), P_not-{F}(V10,V5), P_implies-{F}(V10,V11,V5), P_not-{F}(V9,V12), P_implies-{F}(V9,V11,V12), P_not-{F}(V13,V12), P_implies-{F}(V13,V4,V14), P_implies-{F}(V14,V12,V15), P_implies-{F}(V15,V7,V16), P_implies-{F}(V0,V16,V17), V17 == V0 | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #426: mergings( V0 == V20, V2 == V3, V3 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V4 == V5, V12 == V7, V5 == V16, V7 == V13, V13 == V14, V16 == V17; #410 ), references = 1, size of lhs = 26:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_not-{F}(V1,V0), P_implies-{F}(V1,V0,V0), P_implies-{F}(V0,V1,V1), P_not-{F}(V2,V1), P_implies-{F}(V3,V1,V1), P_implies-{F}(V4,V0,V0), P_not-{F}(V5,V4), P_implies-{F}(V2,V6,V6), P_implies-{F}(V6,V5,V0), P_implies-{F}(V6,V3,V0), P_implies-{F}(V0,V6,V6), P_implies-{F}(V7,V6,V0), P_not-{F}(V8,V7), P_not-{F}(V9,V8), P_implies-{F}(V9,V1,V8), P_implies-{F}(V0,V8,V10), P_implies-{F}(V11,V9,V6), P_implies-{F}(V9,V11,V6), P_not-{F}(V11,V12), P_implies-{F}(V11,V1,V12), P_implies-{F}(V0,V12,V13), P_implies-{F}(V13,V10,V14), V14 == V0 | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #441: mergings( V0 == V21, V2 == V3, V3 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V4 == V5, V13 == V7, V5 == V17, V7 == V14, V14 == V15, V17 == V18; #411 ), references = 1, size of lhs = 27:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_not-{F}(V1,V0), P_implies-{F}(V1,V0,V0), P_implies-{F}(V0,V1,V1), P_not-{F}(V2,V1), P_implies-{F}(V3,V1,V1), P_implies-{F}(V4,V0,V0), P_not-{F}(V5,V4), P_implies-{F}(V2,V6,V6), P_implies-{F}(V6,V5,V0), P_implies-{F}(V6,V3,V0), P_implies-{F}(V0,V6,V6), P_implies-{F}(V7,V6,V0), P_implies-{F}(V8,V6,V0), P_not-{F}(V9,V7), P_not-{F}(V10,V9), P_implies-{F}(V10,V1,V9), P_implies-{F}(V0,V9,V11), P_implies-{F}(V10,V12,V6), P_implies-{F}(V12,V10,V6), P_not-{F}(V12,V13), P_not-{F}(V13,V8), P_implies-{F}(V12,V1,V13), P_implies-{F}(V0,V13,V14), V11 == V14 | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #455: mergings( V0 == V20, V2 == V3, V3 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V4 == V5, V12 == V7, V5 == V16, V7 == V13, V13 == V14, V16 == V17; #412 ), references = 1, size of lhs = 29:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_not-{F}(V1,V0), P_implies-{F}(V1,V0,V0), P_implies-{F}(V0,V1,V1), P_not-{F}(V2,V1), P_implies-{F}(V3,V1,V1), P_implies-{F}(V4,V0,V0), P_not-{F}(V5,V4), P_implies-{F}(V2,V6,V6), P_implies-{F}(V6,V5,V0), P_implies-{F}(V6,V3,V0), P_implies-{F}(V0,V6,V6), P_implies-{F}(V7,V6,V0), P_not-{F}(V8,V7), P_not-{F}(V9,V8), P_implies-{F}(V9,V1,V8), P_implies-{F}(V0,V8,V10), P_implies-{F}(V11,V9,V6), P_implies-{F}(V9,V11,V6), P_not-{F}(V11,V12), P_implies-{F}(V11,V1,V12), P_not-{F}(V13,V12), P_implies-{F}(V13,V6,V14), P_implies-{F}(V14,V12,V15), P_implies-{F}(V15,V10,V16), P_implies-{F}(V0,V16,V17), V17 == V0 | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #490: mergings( V2 == V3, V3 == V4, V4 == V5, V14 == V17; #485 ), references = 2, size of lhs = 24:
% 12.85/13.02 P_truth-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_b-{F}(V3), P_not-{F}(V4,V3), P_implies-{F}(V3,V1,V5), P_implies-{F}(V5,V4,V6), P_implies-{F}(V0,V6,V7), P_implies-{F}(V2,V7,V0), P_not-{F}(V0,V8), P_implies-{F}(V0,V8,V9), P_not-{F}(V10,V9), P_not-{F}(V9,V11), P_implies-{F}(V11,V0,V0), P_not-{F}(V11,V12), P_implies-{F}(V12,V0,V0), P_implies-{F}(V13,V9,V3), P_implies-{F}(V5,V13,V6), P_implies-{F}(V10,V5,V14), P_implies-{F}(V0,V14,V5), P_implies-{F}(V0,V5,V14), P_implies-{F}(V5,V15,V11), P_not-{F}(V15,V16), P_implies-{F}(V16,V0,V0) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #500: mergings( V3 == V4; #498 ), references = 1, size of lhs = 24:
% 12.85/13.02 P_truth-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_b-{F}(V3), P_not-{F}(V4,V3), P_implies-{F}(V3,V1,V5), P_implies-{F}(V6,V4,V5), P_implies-{F}(V4,V6,V7), P_not-{F}(V0,V8), P_implies-{F}(V0,V8,V9), P_implies-{F}(V4,V9,V3), P_not-{F}(V10,V9), P_not-{F}(V9,V11), P_implies-{F}(V11,V0,V0), P_not-{F}(V11,V12), P_implies-{F}(V12,V0,V0), P_implies-{F}(V10,V5,V13), P_implies-{F}(V0,V13,V5), P_implies-{F}(V0,V5,V13), P_implies-{F}(V5,V14,V11), P_not-{F}(V14,V15), P_implies-{F}(V15,V0,V0), P_implies-{F}(V7,V16,V0), P_implies-{F}(V16,V6,V2) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #510: mergings( V3 == V4, V4 == V5, V6 == V13, V7 == V8, V8 == V9; #504 ), references = 3, size of lhs = 22:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_not-{F}(V0,V3), P_implies-{F}(V0,V3,V3), P_not-{F}(V3,V0), P_implies-{F}(V3,V0,V0), P_not-{F}(V2,V4), P_not-{F}(V4,V2), P_implies-{F}(V4,V3,V2), P_not-{F}(V1,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V6,V7,V0), P_implies-{F}(V7,V5,V5), P_implies-{F}(V1,V8,V5), P_implies-{F}(V2,V8,V4), P_implies-{F}(V9,V0,V0), P_not-{F}(V10,V9), P_implies-{F}(V1,V11,V12), P_implies-{F}(V2,V11,V13), P_implies-{F}(V12,V13,V10) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #537: mergings( V0 == V15, V2 == V3, V3 == V4, V4 == V9, V9 == V10, V10 == V11, V11 == V12, V5 == V6, V8 == V12, V12 == V23, V6 == V16, V14 == V18, V16 == V17, V17 == V33, V23 == V24, V33 == V34; #520 ), references = 2, size of lhs = 32:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V0,V2,V2), P_implies-{F}(V3,V2,V2), P_not-{F}(V3,V4), P_not-{F}(V4,V0), P_implies-{F}(V4,V0,V0), P_not-{F}(V0,V4), P_implies-{F}(V0,V4,V4), P_not-{F}(V1,V5), P_implies-{F}(V1,V4,V5), P_not-{F}(V6,V5), P_implies-{F}(V6,V2,V7), P_implies-{F}(V0,V7,V8), P_implies-{F}(V8,V9,V0), P_implies-{F}(V9,V5,V5), P_implies-{F}(V2,V10,V0), P_implies-{F}(V10,V4,V4), P_implies-{F}(V11,V2,V7), P_implies-{F}(V11,V4,V5), P_implies-{F}(V12,V4,V1), P_implies-{F}(V12,V2,V13), P_implies-{F}(V0,V13,V14), P_implies-{F}(V2,V14,V15), P_implies-{F}(V0,V15,V16), P_not-{F}(V16,V17), P_implies-{F}(V17,V0,V0), P_implies-{F}(V2,V18,V0), P_not-{F}(V18,V19), P_implies-{F}(V19,V0,V0) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #555: mergings( V14 == V15, V17 == V20, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V0, V18 == V21, V8 == V9, V9 == V13; #544 ), references = 1, size of lhs = 27:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V0,V1,V0), P_a-{F}(V2), P_not-{F}(V2,V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V0,V3,V2), P_not-{F}(V4,V3), P_implies-{F}(V0,V2,V5), P_implies-{F}(V0,V5,V2), P_implies-{F}(V0,V4,V5), P_b-{F}(V6), P_implies-{F}(V6,V0,V0), P_implies-{F}(V0,V6,V6), P_not-{F}(V7,V2), P_implies-{F}(V7,V6,V8), P_implies-{F}(V2,V6,V8), P_implies-{F}(V9,V2,V2), P_implies-{F}(V0,V8,V10), P_implies-{F}(V10,V9,V0), P_implies-{F}(V6,V10,V11), P_implies-{F}(V0,V11,V0), P_implies-{F}(V0,V12,V2), P_not-{F}(V12,V13), P_implies-{F}(V13,V0,V0), P_implies-{F}(V14,V0,V0), P_implies-{F}(V0,V14,V3) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #568: mergings( V1 == V15, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V0 == V10, V10 == V14; #559 ), references = 1, size of lhs = 25:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V0,V1,V0), P_a-{F}(V2), P_not-{F}(V2,V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V0,V3,V2), P_not-{F}(V4,V3), P_implies-{F}(V0,V2,V5), P_implies-{F}(V0,V5,V2), P_implies-{F}(V0,V4,V5), P_b-{F}(V6), P_implies-{F}(V6,V0,V0), P_implies-{F}(V0,V6,V6), P_implies-{F}(V0,V7,V2), P_not-{F}(V7,V8), P_implies-{F}(V8,V0,V0), P_implies-{F}(V9,V0,V0), P_implies-{F}(V0,V9,V3), P_implies-{F}(V2,V10,V0), P_implies-{F}(V10,V6,V6), P_implies-{F}(V11,V2,V2), P_implies-{F}(V6,V12,V13), P_implies-{F}(V2,V12,V14), P_implies-{F}(V13,V14,V11) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #576: mergings( V4 == V1, V5 == V7; #572 ), references = 1, size of lhs = 18:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_not-{F}(V2,V1), P_not-{F}(V1,V2), P_implies-{F}(V1,V3,V2), P_implies-{F}(V2,V3,V1), P_not-{F}(V0,V4), P_implies-{F}(V0,V4,V4), P_not-{F}(V4,V0), P_implies-{F}(V1,V4,V2), P_implies-{F}(V4,V0,V0), P_implies-{F}(V2,V2,V5), P_implies-{F}(V5,V2,V2), P_implies-{F}(V2,V6,V7), P_implies-{F}(V1,V6,V8), P_implies-{F}(V7,V8,V5) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #577: exists( #5, #571 ), references = 1, size of lhs = 31:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V0,V2,V2), P_implies-{F}(V3,V2,V2), P_not-{F}(V3,V4), P_not-{F}(V4,V0), P_implies-{F}(V4,V0,V0), P_not-{F}(V0,V4), P_implies-{F}(V0,V4,V4), P_not-{F}(V1,V5), P_implies-{F}(V1,V4,V5), P_not-{F}(V6,V5), P_implies-{F}(V6,V4,V5), P_implies-{F}(V2,V7,V0), P_implies-{F}(V7,V4,V4), P_implies-{F}(V8,V4,V1), P_implies-{F}(V8,V2,V9), P_implies-{F}(V0,V9,V10), P_implies-{F}(V2,V10,V11), P_implies-{F}(V0,V11,V12), P_not-{F}(V12,V13), P_implies-{F}(V13,V0,V0), P_implies-{F}(V2,V14,V0), P_not-{F}(V14,V15), P_implies-{F}(V15,V0,V0), P_implies-{F}(V16,V5,V5), P_implies-{F}(V2,V17,V18), P_implies-{F}(V6,V17,V19), P_implies-{F}(V18,V19,V16) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #600: mergings( V4 == V11, V2 == V3, V3 == V0, V5 == V10; #595 ), references = 1, size of lhs = 26:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_implies-{F}(V0,V1,V1), P_b-{F}(V2), P_implies-{F}(V0,V2,V2), P_implies-{F}(V2,V0,V0), P_implies-{F}(V0,V3,V0), P_not-{F}(V1,V4), P_implies-{F}(V3,V4,V5), P_implies-{F}(V0,V5,V4), P_not-{F}(V6,V5), P_implies-{F}(V0,V6,V1), P_implies-{F}(V4,V2,V7), P_implies-{F}(V0,V7,V8), P_implies-{F}(V2,V8,V9), P_implies-{F}(V0,V9,V0), P_implies-{F}(V0,V10,V1), P_not-{F}(V10,V11), P_implies-{F}(V11,V0,V0), P_implies-{F}(V12,V0,V0), P_implies-{F}(V0,V12,V5), P_implies-{F}(V13,V4,V4), P_implies-{F}(V2,V14,V15), P_implies-{F}(V1,V14,V16), P_implies-{F}(V15,V16,V13) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #606: mergings( V6 == V11, V2 == V3, V3 == V4, V4 == V0, V7 == V10; #594 ), references = 1, size of lhs = 25:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V0,V1,V0), P_a-{F}(V2), P_implies-{F}(V2,V0,V0), P_implies-{F}(V0,V2,V2), P_b-{F}(V3), P_not-{F}(V2,V3), P_implies-{F}(V3,V0,V0), P_implies-{F}(V1,V3,V4), P_implies-{F}(V0,V4,V3), P_not-{F}(V5,V4), P_implies-{F}(V0,V5,V2), P_implies-{F}(V0,V3,V6), P_implies-{F}(V0,V6,V3), P_implies-{F}(V3,V3,V7), P_implies-{F}(V7,V3,V3), P_implies-{F}(V0,V8,V2), P_not-{F}(V8,V9), P_implies-{F}(V9,V0,V0), P_implies-{F}(V10,V0,V0), P_implies-{F}(V0,V10,V4), P_implies-{F}(V3,V11,V12), P_implies-{F}(V2,V11,V13), P_implies-{F}(V12,V13,V7) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #618: mergings( V3 == V4, V6 == V10; #615 ), references = 2, size of lhs = 22:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V2), P_not-{F}(V4,V3), P_not-{F}(V1,V5), P_implies-{F}(V1,V6,V5), P_implies-{F}(V2,V6,V3), P_not-{F}(V0,V7), P_implies-{F}(V0,V7,V7), P_not-{F}(V7,V0), P_implies-{F}(V3,V7,V2), P_implies-{F}(V7,V0,V0), P_implies-{F}(V2,V4,V8), P_implies-{F}(V8,V5,V5), P_implies-{F}(V4,V9,V3), P_implies-{F}(V1,V9,V5), P_implies-{F}(V4,V10,V11), P_implies-{F}(V1,V10,V12), P_implies-{F}(V11,V12,V8) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #642: mergings( V0 == V10, V2 == V3, V3 == V8, V4 == V5, V7 == V8, V5 == V16, V8 == V13, V13 == V14, V16 == V17; #632 ), references = 1, size of lhs = 23:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_implies-{F}(V0,V2,V2), P_implies-{F}(V3,V2,V2), P_not-{F}(V3,V4), P_not-{F}(V4,V0), P_implies-{F}(V4,V0,V0), P_not-{F}(V0,V4), P_implies-{F}(V0,V4,V4), P_not-{F}(V1,V5), P_implies-{F}(V1,V4,V5), P_implies-{F}(V2,V2,V6), P_implies-{F}(V6,V5,V5), P_implies-{F}(V2,V7,V0), P_implies-{F}(V7,V4,V4), P_implies-{F}(V2,V8,V0), P_not-{F}(V8,V9), P_implies-{F}(V9,V0,V0), P_implies-{F}(V2,V10,V11), P_implies-{F}(V1,V10,V12), P_implies-{F}(V11,V12,V6) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #654: mergings( V11 == V12, V2 == V3, V3 == V0, V6 == V9; #649 ), references = 1, size of lhs = 24:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V0,V1,V0), P_a-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V1,V3,V4), P_implies-{F}(V0,V4,V3), P_not-{F}(V5,V4), P_implies-{F}(V0,V2,V6), P_implies-{F}(V0,V6,V2), P_implies-{F}(V0,V5,V6), P_b-{F}(V7), P_implies-{F}(V7,V0,V0), P_implies-{F}(V0,V7,V7), P_implies-{F}(V7,V7,V8), P_implies-{F}(V8,V3,V3), P_implies-{F}(V0,V9,V2), P_not-{F}(V9,V10), P_implies-{F}(V10,V0,V0), P_implies-{F}(V11,V0,V0), P_implies-{F}(V0,V11,V4), P_implies-{F}(V7,V12,V13), P_implies-{F}(V2,V12,V14), P_implies-{F}(V13,V14,V8) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #662: mergings( V0 == V4, V5 == V6, V2 == V3; #658 ), references = 1, size of lhs = 11:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_implies-{F}(V0,V1,V1), P_b-{F}(V2), P_implies-{F}(V2,V0,V0), P_implies-{F}(V2,V2,V0), P_implies-{F}(V0,V2,V2), P_implies-{F}(V2,V3,V4), P_implies-{F}(V1,V3,V5), P_implies-{F}(V4,V5,V0) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #669: mergings( V3 == V4, V1 == V2; #666 ), references = 2, size of lhs = 6:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_a-{F}(V1), P_implies-{F}(V0,V1,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V0,V2,V0) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #675: mergings( V1 == V2; #673 ), references = 1, size of lhs = 2:
% 12.85/13.02 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0) | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 #678: exists( #6, #676 ), references = 1, size of lhs = 0:
% 12.85/13.02 FALSE | FALSE
% 12.85/13.02 (used 0 times, uses = {})
% 12.85/13.02
% 12.85/13.02 number of learnt formulas = 59
% 12.85/13.02
% 12.85/13.02
% 12.85/13.02 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.85/13.02
% 12.85/13.02 randbase = 1
%------------------------------------------------------------------------------