TSTP Solution File: GRP654-12 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP654-12 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:04:20 EDT 2022
% Result : Unsatisfiable 6.72s 6.89s
% Output : Refutation 6.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP654-12 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 14:51:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.72/6.89 GeoParameters:
% 6.72/6.89
% 6.72/6.89 tptp_input = 1
% 6.72/6.89 tptp_output = 0
% 6.72/6.89 nonempty = 1
% 6.72/6.89 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.72/6.89 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 6.72/6.89
% 6.72/6.89
% 6.72/6.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.72/6.89 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.72/6.89
% 6.72/6.89 RuleSystem INPUT:
% 6.72/6.89
% 6.72/6.89 Initial Rules:
% 6.72/6.89 #0: input, references = 5, size of lhs = 3:
% 6.72/6.89 P_ld-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), V3 == V1 | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #1: input, references = 11, size of lhs = 3:
% 6.72/6.89 P_mult-{F}(V0,V1,V2), P_ld-{F}(V0,V2,V3), V3 == V1 | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #2: input, references = 4, size of lhs = 3:
% 6.72/6.89 P_rd-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), V3 == V0 | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #3: input, references = 8, size of lhs = 3:
% 6.72/6.89 P_mult-{F}(V0,V1,V2), P_rd-{F}(V2,V1,V3), V3 == V0 | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #4: input, references = 8, size of lhs = 7:
% 6.72/6.89 P_mult-{F}(V0,V2,V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V0,V4,V5), P_mult-{F}(V0,V1,V6), P_mult-{F}(V6,V0,V7), P_mult-{F}(V7,V2,V8), V5 == V8 | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #5: input, references = 6, size of lhs = 4:
% 6.72/6.89 P_x1-{F}(V0), P_rd-{F}(V0,V0,V1), P_x0-{F}(V2), P_mult-{F}(V1,V2,V2) | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #6: input, references = 15, size of lhs = 2:
% 6.72/6.89 #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #7: input, references = 11, size of lhs = 2:
% 6.72/6.89 #-{F} V0, #-{F} V1 | EXISTS V2: P_ld-{T}(V0,V1,V2)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #8: input, references = 8, size of lhs = 2:
% 6.72/6.89 #-{F} V0, #-{F} V1 | EXISTS V2: P_rd-{T}(V0,V1,V2)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #9: input, references = 4, size of lhs = 0:
% 6.72/6.89 FALSE | EXISTS V0: P_x1-{T}(V0)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #10: input, references = 4, size of lhs = 0:
% 6.72/6.89 FALSE | EXISTS V0: P_x0-{T}(V0)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 number of initial rules = 11
% 6.72/6.89
% 6.72/6.89 Simplifiers:
% 6.72/6.89 #11: unsound, references = 3, size of lhs = 3:
% 6.72/6.89 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #12: unsound, references = 3, size of lhs = 3:
% 6.72/6.89 P_ld-{F}(V0,V1,V2), P_ld-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #13: unsound, references = 3, size of lhs = 3:
% 6.72/6.89 P_rd-{F}(V0,V1,V2), P_rd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #14: unsound, references = 3, size of lhs = 3:
% 6.72/6.89 P_x1-{F}(V0), P_x1-{F}(V1), V0 == V1 | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #15: unsound, references = 3, size of lhs = 3:
% 6.72/6.89 P_x0-{F}(V0), P_x0-{F}(V1), V0 == V1 | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 number of simplifiers = 5
% 6.72/6.89
% 6.72/6.89 Learnt:
% 6.72/6.89 #17: exists( #6, #0 ), references = 12, size of lhs = 1:
% 6.72/6.89 P_ld-{F}(V0,V1,V2) | P_mult-{T}(V0,V2,V1)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #20: exists( #6, #2 ), references = 13, size of lhs = 1:
% 6.72/6.89 P_rd-{F}(V0,V1,V2) | P_mult-{T}(V2,V1,V0)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #21: exists( #6, #4 ), references = 9, size of lhs = 5:
% 6.72/6.89 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V0,V4,V5), P_mult-{F}(V0,V3,V6), P_mult-{F}(V6,V0,V7) | P_mult-{T}(V7,V1,V5)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #23: exists( #7, #1 ), references = 8, size of lhs = 1:
% 6.72/6.89 P_mult-{F}(V0,V1,V2) | P_ld-{T}(V0,V2,V1)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #25: exists( #8, #3 ), references = 3, size of lhs = 1:
% 6.72/6.89 P_mult-{F}(V0,V1,V2) | P_rd-{T}(V2,V1,V0)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #28: exists( #6, #26 ), references = 2, size of lhs = 5:
% 6.72/6.89 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V0,V4,V5), P_mult-{F}(V0,V3,V6), P_rd-{F}(V5,V1,V7) | P_mult-{T}(V6,V0,V7)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #34: exists( #6, #4 ), references = 4, size of lhs = 5:
% 6.72/6.89 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V0,V3,V5), P_mult-{F}(V5,V0,V6), P_mult-{F}(V6,V1,V7) | P_mult-{T}(V0,V4,V7)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #40: exists( #6, #38 ), references = 9, size of lhs = 5:
% 6.72/6.89 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V5,V1,V6), P_ld-{F}(V0,V6,V7) | P_mult-{T}(V3,V2,V7)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #69: exists( #8, #67 ), references = 1, size of lhs = 2:
% 6.72/6.89 P_x1-{F}(V0), P_x0-{F}(V0) | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #97: exists( #7, #94 ), references = 1, size of lhs = 9:
% 6.72/6.89 P_mult-{F}(V0,V1,V1), P_mult-{F}(V1,V2,V0), P_mult-{F}(V3,V1,V4), P_mult-{F}(V2,V4,V5), P_mult-{F}(V5,V2,V6), P_mult-{F}(V6,V3,V7), P_ld-{F}(V2,V7,V8), P_ld-{F}(V1,V8,V9), P_rd-{F}(V9,V3,V10) | P_ld-{T}(V1,V3,V10)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #106: mergings( V0 == V3, V5 == V7, V3 == V8; #102 ), references = 1, size of lhs = 8:
% 6.72/6.89 P_mult-{F}(V0,V1,V1), P_mult-{F}(V0,V2,V1), P_mult-{F}(V2,V1,V3), P_ld-{F}(V1,V3,V1), P_mult-{F}(V1,V4,V3), P_rd-{F}(V1,V2,V5), P_mult-{F}(V1,V5,V6), V6 == V2 | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #109: exists( #6, #107 ), references = 2, size of lhs = 4:
% 6.72/6.89 P_mult-{F}(V0,V1,V1), P_rd-{F}(V1,V1,V2), P_mult-{F}(V1,V2,V3), V3 == V1 | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #111: exists( #6, #108 ), references = 4, size of lhs = 2:
% 6.72/6.89 P_mult-{F}(V0,V1,V1), P_rd-{F}(V1,V1,V2) | P_mult-{T}(V1,V2,V1)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #128: exists( #8, #126 ), references = 1, size of lhs = 7:
% 6.72/6.89 P_mult-{F}(V0,V1,V1), P_mult-{F}(V1,V0,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V1,V4,V5), P_mult-{F}(V1,V3,V6), P_mult-{F}(V0,V6,V7), P_mult-{F}(V7,V0,V6) | P_rd-{T}(V5,V0,V5)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #176: exists( #6, #174 ), references = 1, size of lhs = 12:
% 6.72/6.89 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V2), P_mult-{F}(V2,V2,V4), P_mult-{F}(V4,V2,V2), P_mult-{F}(V0,V2,V5), P_mult-{F}(V5,V3,V6), P_ld-{F}(V2,V6,V7), P_mult-{F}(V2,V8,V7), P_mult-{F}(V0,V9,V8), P_mult-{F}(V1,V10,V9), P_mult-{F}(V0,V11,V10) | P_mult-{T}(V2,V0,V8)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #234: exists( #6, #232 ), references = 1, size of lhs = 9:
% 6.72/6.89 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V0,V4,V5), P_mult-{F}(V2,V6,V7), P_mult-{F}(V0,V7,V8), P_mult-{F}(V2,V8,V9), P_mult-{F}(V5,V6,V10), V9 == V10 | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #236: exists( #6, #233 ), references = 1, size of lhs = 7:
% 6.72/6.89 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V0,V4,V5), P_mult-{F}(V2,V6,V7), P_mult-{F}(V0,V7,V8), P_mult-{F}(V5,V6,V9) | P_mult-{T}(V2,V8,V9)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #244: exists( #8, #240 ), references = 1, size of lhs = 7:
% 6.72/6.89 P_rd-{F}(V0,V1,V2), P_mult-{F}(V3,V4,V2), P_mult-{F}(V3,V2,V5), P_mult-{F}(V4,V5,V6), P_mult-{F}(V3,V6,V2), P_mult-{F}(V3,V0,V7), V1 == V7 | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #316: exists( #6, #312 ), references = 2, size of lhs = 5:
% 6.72/6.89 P_ld-{F}(V0,V0,V1), P_mult-{F}(V0,V2,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V2,V4,V5), P_mult-{F}(V0,V5,V3) | P_mult-{T}(V3,V0,V1)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #350: exists( #8, #346 ), references = 9, size of lhs = 1:
% 6.72/6.89 P_ld-{F}(V0,V0,V1) | P_rd-{T}(V0,V0,V1)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #352: mergings( V3 == V4; #349 ), references = 1, size of lhs = 4:
% 6.72/6.89 P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V0,V2), P_mult-{F}(V2,V1,V3), V2 == V3 | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #364: mergings( V2 == V3; #361 ), references = 1, size of lhs = 2:
% 6.72/6.89 P_mult-{F}(V0,V0,V1), P_ld-{F}(V1,V1,V2) | P_ld-{T}(V0,V0,V2)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #366: mergings( V2 == V3; #362 ), references = 1, size of lhs = 2:
% 6.72/6.89 P_mult-{F}(V0,V0,V1), P_rd-{F}(V1,V1,V2) | P_ld-{T}(V0,V0,V2)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #416: exists( #6, #414 ), references = 2, size of lhs = 5:
% 6.72/6.89 P_mult-{F}(V0,V0,V0), P_ld-{F}(V1,V1,V2), P_rd-{F}(V2,V1,V3), P_mult-{F}(V1,V1,V4), P_mult-{F}(V4,V1,V1) | P_mult-{T}(V1,V0,V3)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #489: exists( #7, #487 ), references = 4, size of lhs = 5:
% 6.72/6.89 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V3,V0,V5), P_mult-{F}(V5,V3,V6), P_ld-{F}(V6,V4,V7) | P_ld-{T}(V3,V1,V7)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #498: exists( #7, #496 ), references = 4, size of lhs = 2:
% 6.72/6.89 P_mult-{F}(V0,V0,V0), #-{F} V1 | P_ld-{T}(V1,V1,V0)
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #518: exists( #7, #516 ), references = 1, size of lhs = 3:
% 6.72/6.89 P_x1-{F}(V0), P_x0-{F}(V1), P_mult-{F}(V2,V2,V0) | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #550: exists( #7, #548 ), references = 1, size of lhs = 2:
% 6.72/6.89 P_x1-{F}(V0), P_x0-{F}(V1) | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #552: exists( #10, #549 ), references = 1, size of lhs = 1:
% 6.72/6.89 P_x1-{F}(V0) | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 #554: exists( #9, #551 ), references = 1, size of lhs = 0:
% 6.72/6.89 FALSE | FALSE
% 6.72/6.89 (used 0 times, uses = {})
% 6.72/6.89
% 6.72/6.89 number of learnt formulas = 30
% 6.72/6.89
% 6.72/6.89
% 6.72/6.89 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.72/6.89
% 6.72/6.89 randbase = 1
%------------------------------------------------------------------------------