TSTP Solution File: LCL140-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL140-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 06:08:49 EDT 2022
% Result : Unsatisfiable 1.76s 1.93s
% Output : Refutation 1.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LCL140-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n023.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 22:31:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.76/1.93 GeoParameters:
% 1.76/1.93
% 1.76/1.93 tptp_input = 1
% 1.76/1.93 tptp_output = 0
% 1.76/1.93 nonempty = 1
% 1.76/1.93 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.76/1.93 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.76/1.93
% 1.76/1.93
% 1.76/1.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.76/1.93 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.76/1.93
% 1.76/1.93 RuleSystem INPUT:
% 1.76/1.93
% 1.76/1.93 Initial Rules:
% 1.76/1.93 #0: input, references = 4, size of lhs = 3:
% 1.76/1.93 P_truth-{F}(V0), P_implies-{F}(V0,V1,V2), V2 == V1 | FALSE
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #1: input, references = 9, size of lhs = 7:
% 1.76/1.93 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
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #2: input, references = 7, size of lhs = 6:
% 1.76/1.93 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
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #3: input, references = 7, size of lhs = 7:
% 1.76/1.93 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
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #4: input, references = 4, size of lhs = 4:
% 1.76/1.93 P_truth-{F}(V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V1) | FALSE
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #5: input, references = 20, size of lhs = 2:
% 1.76/1.93 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #6: input, references = 4, size of lhs = 0:
% 1.76/1.93 FALSE | EXISTS V0: P_truth-{T}(V0)
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #7: input, references = 12, size of lhs = 1:
% 1.76/1.93 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #8: input, references = 4, size of lhs = 0:
% 1.76/1.93 FALSE | EXISTS V0: P_x-{T}(V0)
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 number of initial rules = 9
% 1.76/1.93
% 1.76/1.93 Simplifiers:
% 1.76/1.93 #9: unsound, references = 3, size of lhs = 3:
% 1.76/1.93 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #10: unsound, references = 3, size of lhs = 3:
% 1.76/1.93 P_truth-{F}(V0), P_truth-{F}(V1), V0 == V1 | FALSE
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #11: unsound, references = 3, size of lhs = 3:
% 1.76/1.93 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #12: unsound, references = 3, size of lhs = 3:
% 1.76/1.93 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 number of simplifiers = 4
% 1.76/1.93
% 1.76/1.93 Learnt:
% 1.76/1.93 #14: exists( #5, #0 ), references = 22, size of lhs = 2:
% 1.76/1.93 P_truth-{F}(V0), #-{F} V1 | P_implies-{T}(V0,V1,V1)
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #16: exists( #5, #1 ), references = 5, size of lhs = 5:
% 1.76/1.93 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)
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #18: exists( #5, #2 ), references = 5, size of lhs = 4:
% 1.76/1.93 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)
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #23: mergings( V3 == V4; #21 ), references = 6, size of lhs = 5:
% 1.76/1.93 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)
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #27: mergings( V3 == V4; #25 ), references = 6, size of lhs = 4:
% 1.76/1.93 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)
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #32: exists( #5, #3 ), references = 7, size of lhs = 5:
% 1.76/1.93 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)
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #45: mergings( V2 == V3, V3 == V4; #42 ), references = 3, size of lhs = 8:
% 1.76/1.93 P_truth-{F}(V0), P_not-{F}(V1,V0), P_implies-{F}(V2,V1,V3), P_implies-{F}(V0,V2,V4), P_not-{F}(V5,V3), P_implies-{F}(V2,V5,V6), P_implies-{F}(V6,V5,V7), V7 == V4 | FALSE
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #52: mergings( V2 == V3, V3 == V4, V4 == V5; #48 ), references = 1, size of lhs = 5:
% 1.76/1.93 P_truth-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_implies-{F}(V0,V2,V3), P_implies-{F}(V4,V1,V2) | P_not-{T}(V4,V3)
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #71: mergings( V3 == V4, V4 == V5, V5 == V8, V8 == V6, V6 == V7; #65 ), references = 2, size of lhs = 11:
% 1.76/1.93 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V1,V0), P_implies-{F}(V2,V1,V0), P_not-{F}(V3,V4), P_implies-{F}(V0,V5,V4), P_not-{F}(V6,V5), P_implies-{F}(V6,V3,V7), P_implies-{F}(V0,V7,V8), V8 == V0, P_implies-{F}(V2,V9,V5) | FALSE
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #78: mergings( V3 == V4, V4 == V5, V5 == V8, V8 == V6, V6 == V7; #72 ), references = 2, size of lhs = 11:
% 1.76/1.93 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V1,V0), P_implies-{F}(V2,V1,V0), P_not-{F}(V3,V4), P_implies-{F}(V0,V5,V4), P_not-{F}(V6,V5), P_implies-{F}(V6,V3,V7), P_implies-{F}(V0,V7,V8), V8 == V0, P_implies-{F}(V2,V9,V5) | FALSE
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #100: mergings( V3 == V4, V4 == V5, V7 == V8; #96 ), references = 1, size of lhs = 10:
% 1.76/1.93 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V0,V1,V3), P_not-{F}(V4,V2), P_implies-{F}(V0,V4,V5), V3 == V5, P_implies-{F}(V6,V7,V2), P_implies-{F}(V6,V8,V8), P_implies-{F}(V8,V7,V9), P_implies-{F}(V9,V7,V2) | FALSE
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #105: exists( #5, #101 ), references = 4, size of lhs = 8:
% 1.76/1.93 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V1,V0), P_implies-{F}(V2,V1,V0), P_not-{F}(V3,V4), P_implies-{F}(V0,V5,V4), P_not-{F}(V6,V5), P_implies-{F}(V2,V7,V5) | P_implies-{T}(V6,V3,V0)
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #106: exists( #5, #102 ), references = 1, size of lhs = 8:
% 1.76/1.93 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V1,V0), P_implies-{F}(V2,V1,V0), P_not-{F}(V3,V4), P_implies-{F}(V0,V5,V4), P_not-{F}(V6,V5), P_implies-{F}(V2,V7,V5) | P_implies-{T}(V6,V3,V0)
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #130: mergings( V2 == V4, V4 == V5; #127 ), references = 2, size of lhs = 12:
% 1.76/1.93 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V1,V0), P_implies-{F}(V0,V1,V0), P_implies-{F}(V2,V0,V0), P_not-{F}(V3,V0), P_implies-{F}(V2,V4,V4), P_implies-{F}(V0,V4,V4), P_not-{F}(V5,V4), P_implies-{F}(V3,V5,V6), P_implies-{F}(V0,V6,V7), V7 == V0 | FALSE
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #139: mergings( V3 == V4, V4 == V5; #136 ), references = 2, size of lhs = 10:
% 1.76/1.93 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
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #142: exists( #5, #140 ), references = 1, size of lhs = 9:
% 1.76/1.93 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V1,V0), P_implies-{F}(V0,V1,V0), P_implies-{F}(V2,V0,V0), P_not-{F}(V3,V0), P_implies-{F}(V2,V4,V4), P_implies-{F}(V0,V4,V4), P_not-{F}(V5,V4) | P_implies-{T}(V3,V5,V0)
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #157: mergings( V3 == V4, V4 == V5; #154 ), references = 3, size of lhs = 9:
% 1.76/1.93 P_truth-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_implies-{F}(V2,V3,V5), P_implies-{F}(V1,V4,V6), P_implies-{F}(V6,V4,V7), P_not-{F}(V5,V7), P_implies-{F}(V0,V5,V8) | P_implies-{T}(V4,V1,V8)
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #183: mergings( V0 == V13, V13 == V14, V2 == V3, V3 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #173 ), references = 2, size of lhs = 23:
% 1.76/1.93 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V1,V0), P_implies-{F}(V0,V1,V0), P_implies-{F}(V2,V2,V0), P_implies-{F}(V0,V2,V0), P_implies-{F}(V3,V0,V0), P_not-{F}(V4,V0), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_implies-{F}(V3,V7,V7), P_implies-{F}(V0,V7,V7), P_not-{F}(V8,V7), P_implies-{F}(V5,V8,V9), P_not-{F}(V9,V7), P_implies-{F}(V0,V9,V10), P_not-{F}(V10,V7), P_not-{F}(V11,V10), P_implies-{F}(V0,V10,V12), P_implies-{F}(V6,V11,V13), P_not-{F}(V13,V12), P_implies-{F}(V0,V13,V14), V7 == V14 | FALSE
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #195: mergings( V0 == V22, V2 == V3, V3 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V22 == V24, V11 == V17, V24 == V19; #174 ), references = 2, size of lhs = 26:
% 1.76/1.93 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V1,V0), P_implies-{F}(V0,V1,V0), P_implies-{F}(V2,V2,V0), P_implies-{F}(V0,V2,V0), P_implies-{F}(V3,V0,V0), P_not-{F}(V4,V0), P_not-{F}(V5,V4), P_not-{F}(V6,V0), P_not-{F}(V7,V6), P_implies-{F}(V3,V8,V8), P_implies-{F}(V0,V8,V8), P_not-{F}(V9,V8), P_implies-{F}(V5,V9,V10), P_not-{F}(V10,V8), P_implies-{F}(V0,V10,V11), P_not-{F}(V12,V8), P_not-{F}(V13,V12), P_implies-{F}(V7,V13,V14), P_implies-{F}(V0,V12,V15), P_not-{F}(V14,V15), P_implies-{F}(V0,V14,V16), P_not-{F}(V16,V11), P_implies-{F}(V0,V16,V17), V17 == V8 | FALSE
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #222: mergings( V3 == V4, V4 == V5, V5 == V6; #218 ), references = 1, size of lhs = 10:
% 1.76/1.93 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V5), P_implies-{F}(V6,V4,V0), P_implies-{F}(V2,V6,V7), P_implies-{F}(V7,V5,V8), P_implies-{F}(V0,V8,V9), P_implies-{F}(V0,V9,V10), V10 == V0 | FALSE
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #239: mergings( V3 == V4; #237 ), references = 3, size of lhs = 4:
% 1.76/1.93 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)
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #246: mergings( V3 == V4, V4 == V5, V5 == V6; #242 ), references = 2, size of lhs = 10:
% 1.76/1.93 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,V7), P_implies-{F}(V7,V6,V8), P_implies-{F}(V0,V8,V9), P_implies-{F}(V0,V9,V10), V10 == V0 | FALSE
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #253: exists( #5, #251 ), references = 1, size of lhs = 6:
% 1.76/1.93 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,V7) | P_implies-{T}(V7,V6,V0)
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #261: mergings( V2 == V3, V3 == V4; #258 ), references = 2, size of lhs = 13:
% 1.76/1.93 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V2), P_implies-{F}(V0,V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V1,V5,V6), P_not-{F}(V7,V6), P_implies-{F}(V4,V7,V8), P_implies-{F}(V0,V6,V9), P_implies-{F}(V8,V3,V10), P_implies-{F}(V10,V9,V11), P_implies-{F}(V0,V11,V12), V12 == V0 | FALSE
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #270: exists( #7, #268 ), references = 1, size of lhs = 7:
% 1.76/1.93 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V3,V2), P_implies-{F}(V4,V2,V0), P_implies-{F}(V3,V5,V4) | P_not-{T}(V5,V0)
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #276: mergings( V0 == V9; #273 ), references = 1, size of lhs = 15:
% 1.76/1.93 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V1,V0), P_implies-{F}(V0,V1,V0), P_implies-{F}(V2,V2,V0), P_implies-{F}(V0,V2,V0), P_not-{F}(V3,V0), P_not-{F}(V4,V3), P_not-{F}(V5,V3), P_implies-{F}(V4,V6,V6), P_implies-{F}(V0,V6,V6), P_not-{F}(V7,V6), P_implies-{F}(V5,V7,V8), P_not-{F}(V8,V6), P_implies-{F}(V0,V8,V9) | P_not-{T}(V6,V9)
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #278: mergings( V9 == V12; #274 ), references = 1, size of lhs = 18:
% 1.76/1.93 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V1,V0), P_implies-{F}(V0,V1,V0), P_implies-{F}(V2,V2,V0), P_implies-{F}(V0,V2,V0), P_not-{F}(V3,V0), P_not-{F}(V4,V3), P_not-{F}(V5,V0), P_not-{F}(V6,V5), P_implies-{F}(V4,V7,V7), P_not-{F}(V8,V7), P_implies-{F}(V6,V8,V9), P_implies-{F}(V0,V7,V10), P_not-{F}(V9,V10), P_implies-{F}(V0,V9,V11), P_not-{F}(V11,V10), P_implies-{F}(V0,V11,V12) | P_not-{T}(V7,V12)
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #286: mergings( V6 == V8, V0 == V4; #283 ), references = 1, size of lhs = 13:
% 1.76/1.93 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V1,V0), P_implies-{F}(V0,V1,V0), P_implies-{F}(V2,V2,V0), P_implies-{F}(V0,V2,V0), P_x-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V0,V4,V4), P_not-{F}(V5,V4), P_implies-{F}(V0,V5,V6), P_not-{F}(V6,V4), P_implies-{F}(V0,V6,V3) | FALSE
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #290: mergings( V2 == V5; #288 ), references = 2, size of lhs = 8:
% 1.76/1.93 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V1,V0), P_implies-{F}(V0,V1,V0), P_implies-{F}(V2,V2,V0), P_implies-{F}(V0,V2,V0), P_x-{F}(V3), P_implies-{F}(V0,V3,V3) | FALSE
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #293: exists( #8, #291 ), references = 1, size of lhs = 6:
% 1.76/1.93 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V1,V1,V0), P_implies-{F}(V0,V1,V0), P_implies-{F}(V2,V2,V0), P_implies-{F}(V0,V2,V0) | FALSE
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 #296: exists( #6, #294 ), references = 1, size of lhs = 0:
% 1.76/1.93 FALSE | FALSE
% 1.76/1.93 (used 0 times, uses = {})
% 1.76/1.93
% 1.76/1.93 number of learnt formulas = 31
% 1.76/1.93
% 1.76/1.93
% 1.76/1.93 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.76/1.93
% 1.76/1.93 randbase = 1
%------------------------------------------------------------------------------