TSTP Solution File: LDA001-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LDA001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:10:22 EDT 2022
% Result : Unsatisfiable 0.92s 1.13s
% Output : Refutation 0.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LDA001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 07:26:18 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.92/1.13 GeoParameters:
% 0.92/1.13
% 0.92/1.13 tptp_input = 1
% 0.92/1.13 tptp_output = 0
% 0.92/1.13 nonempty = 1
% 0.92/1.13 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.13 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.92/1.13
% 0.92/1.13
% 0.92/1.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.13 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.13
% 0.92/1.13 RuleSystem INPUT:
% 0.92/1.13
% 0.92/1.13 Initial Rules:
% 0.92/1.13 #0: input, references = 6, size of lhs = 6:
% 0.92/1.13 P_f-{F}(V1,V2,V3), P_f-{F}(V0,V3,V4), P_f-{F}(V0,V1,V5), P_f-{F}(V0,V2,V6), P_f-{F}(V5,V6,V7), V4 == V7 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #1: input, references = 4, size of lhs = 4:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V2), V0 == V2 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #2: input, references = 6, size of lhs = 6:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V2), P_n3-{F}(V3), P_f-{F}(V0,V1,V4), V3 == V4 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #3: input, references = 6, size of lhs = 8:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V2), P_n3-{F}(V3), P_f-{F}(V0,V1,V4), P_u-{F}(V5), P_f-{F}(V0,V0,V6), V5 == V6 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #4: input, references = 7, size of lhs = 11:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V2), P_n3-{F}(V3), P_f-{F}(V0,V1,V4), P_u-{F}(V5), P_f-{F}(V0,V0,V6), P_f-{F}(V3,V0,V7), P_f-{F}(V7,V5,V10), P_f-{F}(V5,V5,V9), P_f-{F}(V9,V5,V10) | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #5: input, references = 18, size of lhs = 2:
% 0.92/1.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_f-{T}(V0,V1,V2)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #6: input, references = 4, size of lhs = 0:
% 0.92/1.13 FALSE | EXISTS V0: P_n2-{T}(V0)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #7: input, references = 4, size of lhs = 0:
% 0.92/1.13 FALSE | EXISTS V0: P_n1-{T}(V0)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #8: input, references = 5, size of lhs = 0:
% 0.92/1.13 FALSE | EXISTS V0: P_n3-{T}(V0)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #9: input, references = 6, size of lhs = 0:
% 0.92/1.13 FALSE | EXISTS V0: P_u-{T}(V0)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 number of initial rules = 10
% 0.92/1.13
% 0.92/1.13 Simplifiers:
% 0.92/1.13 #10: unsound, references = 3, size of lhs = 3:
% 0.92/1.13 P_f-{F}(V0,V1,V2), P_f-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #11: unsound, references = 3, size of lhs = 3:
% 0.92/1.13 P_n2-{F}(V0), P_n2-{F}(V1), V0 == V1 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #12: unsound, references = 3, size of lhs = 3:
% 0.92/1.13 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #13: unsound, references = 3, size of lhs = 3:
% 0.92/1.13 P_n3-{F}(V0), P_n3-{F}(V1), V0 == V1 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #14: unsound, references = 3, size of lhs = 3:
% 0.92/1.13 P_u-{F}(V0), P_u-{F}(V1), V0 == V1 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 number of simplifiers = 5
% 0.92/1.13
% 0.92/1.13 Learnt:
% 0.92/1.13 #18: exists( #5, #1 ), references = 2, size of lhs = 2:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1) | P_f-{T}(V1,V1,V0)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #19: exists( #5, #2 ), references = 1, size of lhs = 3:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V0), P_n3-{F}(V1) | P_f-{T}(V0,V0,V1)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #20: exists( #5, #3 ), references = 1, size of lhs = 4:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V0), P_n3-{F}(V1), P_u-{F}(V2) | P_f-{T}(V0,V0,V2)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #22: exists( #8, #2 ), references = 1, size of lhs = 4:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V2), P_f-{F}(V0,V1,V3) | P_n3-{T}(V3)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #24: exists( #9, #3 ), references = 1, size of lhs = 6:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V2), P_n3-{F}(V3), P_f-{F}(V0,V1,V4), P_f-{F}(V0,V0,V5) | P_u-{T}(V5)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #29: exists( #5, #0 ), references = 12, size of lhs = 4:
% 0.92/1.13 P_f-{F}(V0,V1,V2), P_f-{F}(V3,V0,V4), P_f-{F}(V3,V1,V5), P_f-{F}(V4,V5,V6) | P_f-{T}(V3,V2,V6)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #33: exists( #5, #2 ), references = 2, size of lhs = 4:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V2), P_n3-{F}(V3) | P_f-{T}(V0,V1,V3)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #34: exists( #5, #3 ), references = 2, size of lhs = 7:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V2), P_n3-{F}(V3), P_u-{F}(V4), P_f-{F}(V0,V0,V5), V4 == V5 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #41: exists( #5, #34 ), references = 3, size of lhs = 5:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V2), P_n3-{F}(V3), P_u-{F}(V4) | P_f-{T}(V0,V0,V4)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #45: exists( #5, #0 ), references = 9, size of lhs = 4:
% 0.92/1.13 P_f-{F}(V0,V1,V2), P_f-{F}(V3,V2,V4), P_f-{F}(V3,V0,V5), P_f-{F}(V3,V1,V6) | P_f-{T}(V5,V6,V4)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #54: mergings( V3 == V4, V6 == V7; #51 ), references = 1, size of lhs = 4:
% 0.92/1.13 P_f-{F}(V0,V0,V1), P_f-{F}(V1,V0,V2), P_f-{F}(V2,V3,V4), P_f-{F}(V1,V4,V3) | P_f-{T}(V0,V4,V3)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #62: mergings( V8 == V9; #60 ), references = 1, size of lhs = 13:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V2), P_n3-{F}(V3), P_f-{F}(V0,V1,V4), P_u-{F}(V5), P_f-{F}(V3,V0,V5), P_f-{F}(V0,V0,V5), P_f-{F}(V6,V7,V5), P_f-{F}(V6,V8,V5), P_f-{F}(V6,V9,V5), P_f-{F}(V8,V9,V10), P_f-{F}(V10,V7,V10) | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #65: mergings( V8 == V9; #63 ), references = 1, size of lhs = 13:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V2), P_n3-{F}(V3), P_f-{F}(V0,V1,V4), P_u-{F}(V5), P_f-{F}(V3,V0,V5), P_f-{F}(V0,V0,V5), P_f-{F}(V6,V7,V5), P_f-{F}(V6,V8,V5), P_f-{F}(V6,V9,V5), P_f-{F}(V8,V9,V10), P_f-{F}(V10,V7,V10) | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #73: mergings( V1 == V5, V2 == V6, V3 == V4; #69 ), references = 1, size of lhs = 10:
% 0.92/1.13 P_n2-{F}(V0), P_n3-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V2), P_f-{F}(V0,V1,V3), P_f-{F}(V4,V5,V0), P_f-{F}(V4,V6,V0), P_f-{F}(V4,V7,V0), P_f-{F}(V6,V7,V8), P_f-{F}(V8,V5,V8) | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #92: mergings( V7 == V10, V8 == V9, V6 == V10; #88 ), references = 1, size of lhs = 10:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V2), P_n3-{F}(V3), P_f-{F}(V0,V1,V4), P_u-{F}(V5), P_f-{F}(V0,V0,V5), P_f-{F}(V3,V5,V5), P_f-{F}(V5,V5,V6), P_f-{F}(V6,V5,V6) | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #101: mergings( V6 == V7; #99 ), references = 1, size of lhs = 14:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V2), P_n3-{F}(V3), P_f-{F}(V0,V1,V4), P_u-{F}(V5), P_f-{F}(V0,V0,V5), P_f-{F}(V5,V5,V6), P_f-{F}(V6,V5,V7), P_f-{F}(V8,V8,V5), P_f-{F}(V3,V9,V8), P_f-{F}(V0,V9,V10), P_f-{F}(V3,V10,V11), P_f-{F}(V11,V11,V7) | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #114: mergings( V6 == V7; #112 ), references = 2, size of lhs = 12:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V2), P_n3-{F}(V3), P_f-{F}(V0,V1,V4), P_u-{F}(V5), P_f-{F}(V0,V0,V5), P_f-{F}(V5,V5,V6), P_f-{F}(V6,V5,V7), P_f-{F}(V3,V8,V5), P_f-{F}(V0,V8,V9), P_f-{F}(V3,V9,V7) | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #121: exists( #5, #119 ), references = 2, size of lhs = 16:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V2), P_n3-{F}(V3), P_f-{F}(V0,V1,V4), P_u-{F}(V5), P_f-{F}(V0,V0,V5), P_f-{F}(V5,V5,V6), P_f-{F}(V6,V5,V7), P_f-{F}(V0,V8,V3), P_f-{F}(V3,V9,V5), P_f-{F}(V8,V9,V10), P_f-{F}(V0,V10,V7), P_f-{F}(V11,V12,V9), P_f-{F}(V0,V11,V13), P_f-{F}(V0,V12,V14) | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #168: exists( #5, #166 ), references = 1, size of lhs = 17:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V2), P_n3-{F}(V3), P_f-{F}(V0,V1,V4), P_u-{F}(V5), P_f-{F}(V0,V0,V5), P_f-{F}(V5,V5,V6), P_f-{F}(V0,V7,V3), P_f-{F}(V0,V8,V6), P_f-{F}(V0,V9,V5), P_f-{F}(V8,V9,V10), P_f-{F}(V3,V11,V5), P_f-{F}(V7,V11,V10), P_f-{F}(V12,V13,V11), P_f-{F}(V0,V12,V14), P_f-{F}(V0,V13,V15) | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #171: exists( #5, #169 ), references = 1, size of lhs = 18:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V2), P_n3-{F}(V3), P_f-{F}(V0,V1,V4), P_u-{F}(V5), P_f-{F}(V0,V0,V5), P_f-{F}(V5,V5,V6), P_f-{F}(V0,V7,V3), P_f-{F}(V0,V8,V6), P_f-{F}(V7,V9,V8), P_f-{F}(V0,V10,V5), P_f-{F}(V7,V11,V10), P_f-{F}(V9,V11,V12), P_f-{F}(V3,V12,V5), P_f-{F}(V13,V14,V12), P_f-{F}(V0,V13,V15), P_f-{F}(V0,V14,V16) | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #175: exists( #5, #173 ), references = 1, size of lhs = 22:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V2), P_n3-{F}(V3), P_f-{F}(V0,V1,V4), P_u-{F}(V5), P_f-{F}(V0,V0,V5), P_f-{F}(V0,V6,V3), P_f-{F}(V0,V7,V5), P_f-{F}(V6,V8,V7), P_f-{F}(V3,V9,V5), P_f-{F}(V10,V8,V9), P_f-{F}(V6,V10,V11), P_f-{F}(V12,V13,V11), P_f-{F}(V0,V12,V14), P_f-{F}(V0,V13,V15), P_f-{F}(V14,V16,V5), P_f-{F}(V16,V17,V15), P_f-{F}(V14,V17,V5), P_f-{F}(V18,V19,V9), P_f-{F}(V0,V18,V20), P_f-{F}(V0,V19,V21) | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #184: mergings( V7 == V16, V1 == V5, V2 == V6, V3 == V16; #179 ), references = 1, size of lhs = 15:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V2), P_n3-{F}(V3), P_f-{F}(V0,V1,V4), P_f-{F}(V0,V5,V3), P_f-{F}(V0,V6,V3), P_f-{F}(V5,V6,V0), P_f-{F}(V5,V7,V0), P_f-{F}(V7,V8,V0), P_f-{F}(V5,V8,V0), P_f-{F}(V0,V9,V3), P_f-{F}(V0,V10,V3), P_f-{F}(V9,V10,V0), P_f-{F}(V0,V11,V3) | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #191: mergings( V3 == V5, V5 == V6, V1 == V4, V2 == V6; #186 ), references = 1, size of lhs = 6:
% 0.92/1.13 P_n2-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V1,V0), P_f-{F}(V1,V2,V0), P_f-{F}(V2,V3,V0), P_f-{F}(V1,V3,V0) | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #194: exists( #7, #192 ), references = 1, size of lhs = 1:
% 0.92/1.13 P_n2-{F}(V0) | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #196: exists( #6, #193 ), references = 1, size of lhs = 0:
% 0.92/1.13 FALSE | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 number of learnt formulas = 25
% 0.92/1.13
% 0.92/1.13
% 0.92/1.13 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.13
% 0.92/1.13 randbase = 1
%------------------------------------------------------------------------------