TSTP Solution File: LAT012-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT012-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 06:07:47 EDT 2022
% Result : Unsatisfiable 0.47s 0.68s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT012-1 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n009.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 20:08:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.47/0.68 GeoParameters:
% 0.47/0.68
% 0.47/0.68 tptp_input = 1
% 0.47/0.68 tptp_output = 0
% 0.47/0.68 nonempty = 1
% 0.47/0.68 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.68 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.47/0.68
% 0.47/0.68
% 0.47/0.68 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.68 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.68
% 0.47/0.68 RuleSystem INPUT:
% 0.47/0.68
% 0.47/0.68 Initial Rules:
% 0.47/0.68 #0: input, references = 8, size of lhs = 4:
% 0.47/0.68 P_meet-{F}(V0,V2,V3), P_meet-{F}(V1,V3,V4), P_join-{F}(V0,V4,V5), V5 == V0 | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #1: input, references = 5, size of lhs = 4:
% 0.47/0.68 P_join-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5), V5 == V0 | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #2: input, references = 5, size of lhs = 5:
% 0.47/0.68 P_meet-{F}(V0,V1,V3), P_meet-{F}(V1,V2,V4), P_join-{F}(V3,V4,V5), P_join-{F}(V5,V1,V6), V6 == V1 | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #3: input, references = 6, size of lhs = 5:
% 0.47/0.68 P_join-{F}(V0,V1,V3), P_join-{F}(V1,V2,V4), P_meet-{F}(V3,V4,V5), P_meet-{F}(V5,V1,V6), V6 == V1 | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #4: input, references = 5, size of lhs = 4:
% 0.47/0.68 P_b-{F}(V0), P_a-{F}(V1), P_meet-{F}(V0,V1,V3), P_meet-{F}(V1,V0,V3) | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #5: input, references = 15, size of lhs = 2:
% 0.47/0.68 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #6: input, references = 12, size of lhs = 2:
% 0.47/0.68 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #7: input, references = 4, size of lhs = 0:
% 0.47/0.68 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #8: input, references = 4, size of lhs = 0:
% 0.47/0.68 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 number of initial rules = 9
% 0.47/0.68
% 0.47/0.68 Simplifiers:
% 0.47/0.68 #9: unsound, references = 3, size of lhs = 3:
% 0.47/0.68 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #10: unsound, references = 3, size of lhs = 3:
% 0.47/0.68 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #11: unsound, references = 3, size of lhs = 3:
% 0.47/0.68 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #12: unsound, references = 3, size of lhs = 3:
% 0.47/0.68 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 number of simplifiers = 4
% 0.47/0.68
% 0.47/0.68 Learnt:
% 0.47/0.68 #14: exists( #6, #1 ), references = 16, size of lhs = 2:
% 0.47/0.68 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V2,V4) | P_meet-{T}(V0,V4,V0)
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #18: exists( #5, #16 ), references = 3, size of lhs = 2:
% 0.47/0.68 P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V0,V2) | P_join-{T}(V0,V2,V0)
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #23: exists( #6, #4 ), references = 1, size of lhs = 2:
% 0.47/0.68 P_b-{F}(V0), P_a-{F}(V0) | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #27: exists( #5, #0 ), references = 11, size of lhs = 2:
% 0.47/0.68 P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V2,V4) | P_join-{T}(V0,V4,V0)
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #34: exists( #5, #32 ), references = 1, size of lhs = 4:
% 0.47/0.68 P_join-{F}(V0,V1,V2), P_meet-{F}(V2,V1,V3), V3 == V1, P_join-{F}(V2,V4,V5) | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #37: exists( #6, #35 ), references = 14, size of lhs = 2:
% 0.47/0.68 P_join-{F}(V0,V1,V2), P_join-{F}(V2,V3,V4) | P_meet-{T}(V2,V1,V1)
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #40: exists( #5, #38 ), references = 11, size of lhs = 2:
% 0.47/0.68 P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V1,V4) | P_join-{T}(V2,V4,V2)
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #48: exists( #5, #2 ), references = 8, size of lhs = 3:
% 0.47/0.68 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V3,V4), P_join-{F}(V2,V4,V5) | P_join-{T}(V5,V1,V1)
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #50: exists( #6, #3 ), references = 4, size of lhs = 3:
% 0.47/0.68 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V3,V4), P_meet-{F}(V2,V4,V5) | P_meet-{T}(V5,V1,V1)
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #73: exists( #6, #69 ), references = 2, size of lhs = 6:
% 0.47/0.68 P_meet-{F}(V0,V1,V2), P_join-{F}(V3,V1,V4), P_join-{F}(V1,V5,V6), P_join-{F}(V7,V6,V8), P_meet-{F}(V8,V4,V9), P_join-{F}(V9,V10,V2) | P_meet-{T}(V4,V6,V9)
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #85: exists( #6, #83 ), references = 2, size of lhs = 7:
% 0.47/0.68 P_b-{F}(V0), P_a-{F}(V1), P_join-{F}(V2,V0,V0), P_meet-{F}(V1,V3,V1), P_join-{F}(V4,V5,V0), P_join-{F}(V5,V6,V1), P_meet-{F}(V7,V5,V8) | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #123: exists( #5, #119 ), references = 1, size of lhs = 6:
% 0.47/0.68 P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V2,V4), P_join-{F}(V0,V4,V5), P_meet-{F}(V6,V7,V8), P_join-{F}(V7,V8,V9), V9 == V7 | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #124: exists( #5, #120 ), references = 1, size of lhs = 7:
% 0.47/0.68 P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V2,V4), P_join-{F}(V0,V4,V5), P_meet-{F}(V6,V7,V8), P_join-{F}(V8,V7,V9), P_join-{F}(V9,V7,V10), V10 == V7 | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #131: exists( #5, #127 ), references = 2, size of lhs = 4:
% 0.47/0.68 P_meet-{F}(V0,V1,V1), P_join-{F}(V2,V3,V4), P_meet-{F}(V5,V4,V6), P_join-{F}(V2,V6,V7) | P_join-{T}(V1,V1,V1)
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #148: exists( #6, #146 ), references = 2, size of lhs = 10:
% 0.47/0.68 P_b-{F}(V0), P_a-{F}(V1), P_join-{F}(V2,V0,V0), P_meet-{F}(V1,V3,V1), P_meet-{F}(V1,V4,V1), P_join-{F}(V5,V1,V6), P_join-{F}(V7,V8,V0), P_join-{F}(V9,V10,V11), P_meet-{F}(V12,V11,V13), P_join-{F}(V9,V13,V14) | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #164: exists( #5, #162 ), references = 1, size of lhs = 11:
% 0.47/0.68 P_b-{F}(V0), P_a-{F}(V1), P_join-{F}(V2,V0,V0), P_join-{F}(V3,V1,V4), P_join-{F}(V5,V6,V0), P_join-{F}(V7,V8,V9), P_meet-{F}(V10,V9,V11), P_join-{F}(V7,V11,V12), P_join-{F}(V13,V14,V15), P_meet-{F}(V16,V15,V17), P_join-{F}(V13,V17,V18) | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #166: exists( #5, #163 ), references = 2, size of lhs = 10:
% 0.47/0.68 P_b-{F}(V0), P_a-{F}(V1), P_join-{F}(V2,V0,V0), P_join-{F}(V3,V4,V0), P_join-{F}(V5,V6,V7), P_meet-{F}(V8,V7,V9), P_join-{F}(V5,V9,V10), P_join-{F}(V11,V12,V13), P_meet-{F}(V14,V13,V15), P_join-{F}(V11,V15,V16) | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #200: exists( #5, #196 ), references = 2, size of lhs = 5:
% 0.47/0.68 P_join-{F}(V0,V0,V1), V1 == V0, P_join-{F}(V2,V3,V4), P_meet-{F}(V5,V4,V6), P_join-{F}(V2,V6,V7) | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #203: exists( #5, #198 ), references = 1, size of lhs = 4:
% 0.47/0.68 P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V2,V4), P_join-{F}(V0,V4,V5), #-{F} V6 | P_join-{T}(V6,V6,V6)
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #220: exists( #6, #216 ), references = 1, size of lhs = 3:
% 0.47/0.68 P_join-{F}(V0,V0,V1), V1 == V0, P_join-{F}(V2,V3,V4) | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #221: exists( #6, #214 ), references = 1, size of lhs = 3:
% 0.47/0.68 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V1,V2), P_join-{F}(V4,V1,V2) | P_meet-{T}(V1,V1,V1)
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #224: exists( #5, #218 ), references = 2, size of lhs = 1:
% 0.47/0.68 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #226: exists( #8, #166 ), references = 1, size of lhs = 9:
% 0.47/0.68 P_b-{F}(V0), P_join-{F}(V1,V0,V0), P_join-{F}(V2,V3,V0), P_join-{F}(V4,V5,V6), P_meet-{F}(V7,V6,V8), P_join-{F}(V4,V8,V9), P_join-{F}(V10,V11,V12), P_meet-{F}(V13,V12,V14), P_join-{F}(V10,V14,V15) | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #229: exists( #7, #227 ), references = 1, size of lhs = 6:
% 0.47/0.68 P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V2,V4), P_join-{F}(V0,V4,V5), P_join-{F}(V6,V7,V8), P_meet-{F}(V9,V8,V10), P_join-{F}(V6,V10,V11) | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 #232: #222+#14+#228, references = 1, size of lhs = 1:
% 0.47/0.68 #-{F} V0 | FALSE
% 0.47/0.68 (used 0 times, uses = {})
% 0.47/0.68
% 0.47/0.68 number of learnt formulas = 25
% 0.47/0.68
% 0.47/0.68
% 0.47/0.68 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.68
% 0.47/0.68 randbase = 1
%------------------------------------------------------------------------------