TSTP Solution File: GRP657+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP657+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:04:21 EDT 2022
% Result : Theorem 6.69s 6.91s
% Output : Refutation 6.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP657+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 13:58:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 6.69/6.91 GeoParameters:
% 6.69/6.91
% 6.69/6.91 tptp_input = 1
% 6.69/6.91 tptp_output = 0
% 6.69/6.91 nonempty = 1
% 6.69/6.91 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.69/6.91 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 6.69/6.91
% 6.69/6.91
% 6.69/6.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.69/6.91 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.69/6.91
% 6.69/6.91 RuleSystem INPUT:
% 6.69/6.91
% 6.69/6.91 Initial Rules:
% 6.69/6.91 #0: input, references = 5, size of lhs = 3:
% 6.69/6.91 P_ld-{F}(V1,V0,V2), P_mult-{F}(V1,V2,V3), V3 == V0 | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #1: input, references = 8, size of lhs = 3:
% 6.69/6.91 P_mult-{F}(V1,V0,V2), P_ld-{F}(V1,V2,V3), V3 == V0 | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #2: input, references = 5, size of lhs = 3:
% 6.69/6.91 P_rd-{F}(V1,V0,V2), P_mult-{F}(V2,V0,V3), V3 == V1 | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #3: input, references = 6, size of lhs = 3:
% 6.69/6.91 P_mult-{F}(V1,V0,V2), P_rd-{F}(V2,V0,V3), V3 == V1 | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #4: input, references = 7, size of lhs = 7:
% 6.69/6.91 P_mult-{F}(V2,V1,V3), P_mult-{F}(V0,V2,V4), P_mult-{F}(V3,V4,V5), P_mult-{F}(V1,V0,V6), P_mult-{F}(V6,V2,V7), P_mult-{F}(V2,V7,V8), V5 == V8 | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #5: input, references = 4, size of lhs = 1:
% 6.69/6.91 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #6: input, references = 5, size of lhs = 3:
% 6.69/6.91 pppp0-{F}(V0,V1), P_mult-{F}(V1,V0,V1), P_mult-{F}(V0,V1,V1) | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #7: input, references = 20, size of lhs = 2:
% 6.69/6.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #8: input, references = 7, size of lhs = 2:
% 6.69/6.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_ld-{T}(V0,V1,V2)
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #9: input, references = 7, size of lhs = 2:
% 6.69/6.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_rd-{T}(V0,V1,V2)
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 number of initial rules = 10
% 6.69/6.91
% 6.69/6.91 Simplifiers:
% 6.69/6.91 #10: unsound, references = 3, size of lhs = 3:
% 6.69/6.91 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #11: unsound, references = 3, size of lhs = 3:
% 6.69/6.91 P_ld-{F}(V0,V1,V2), P_ld-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #12: unsound, references = 3, size of lhs = 3:
% 6.69/6.91 P_rd-{F}(V0,V1,V2), P_rd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #13: unsound, references = 3, size of lhs = 3:
% 6.69/6.91 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 number of simplifiers = 4
% 6.69/6.91
% 6.69/6.91 Learnt:
% 6.69/6.91 #15: exists( #9, #3 ), references = 7, size of lhs = 1:
% 6.69/6.91 P_mult-{F}(V0,V1,V2) | P_rd-{T}(V2,V1,V0)
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #17: exists( #7, #0 ), references = 7, size of lhs = 1:
% 6.69/6.91 P_ld-{F}(V0,V1,V2) | P_mult-{T}(V0,V2,V1)
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #19: exists( #7, #2 ), references = 5, size of lhs = 1:
% 6.69/6.91 P_rd-{F}(V0,V1,V2) | P_mult-{T}(V2,V1,V0)
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #21: exists( #7, #4 ), references = 10, size of lhs = 5:
% 6.69/6.91 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V1,V3,V5), P_mult-{F}(V5,V0,V6), P_mult-{F}(V0,V6,V7) | P_mult-{T}(V2,V4,V7)
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #23: exists( #8, #1 ), references = 4, size of lhs = 1:
% 6.69/6.91 P_mult-{F}(V0,V1,V2) | P_ld-{T}(V0,V2,V1)
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #26: exists( #7, #24 ), references = 7, size of lhs = 5:
% 6.69/6.91 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V4,V1,V5), P_mult-{F}(V1,V5,V6), P_rd-{F}(V6,V2,V7) | P_mult-{T}(V1,V3,V7)
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #30: exists( #7, #28 ), references = 2, size of lhs = 8:
% 6.69/6.91 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V1,V3), P_mult-{F}(V5,V2,V4), P_mult-{F}(V5,V0,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V5,V1,V8), V7 == V8 | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #32: exists( #7, #29 ), references = 1, size of lhs = 6:
% 6.69/6.91 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V1,V3), P_mult-{F}(V5,V2,V4), P_mult-{F}(V5,V0,V6), P_mult-{F}(V6,V1,V7) | P_mult-{T}(V5,V1,V7)
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #38: exists( #7, #36 ), references = 1, size of lhs = 5:
% 6.69/6.91 pppp0-{F}(V0,V1), P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V0,V2,V4), P_mult-{F}(V4,V1,V3) | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #55: mergings( V4 == V8; #53 ), references = 1, size of lhs = 8:
% 6.69/6.91 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V1,V4), P_mult-{F}(V1,V4,V5), P_rd-{F}(V5,V2,V6), P_mult-{F}(V2,V3,V7), P_mult-{F}(V6,V0,V8), P_mult-{F}(V0,V8,V9), V7 == V9 | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #102: exists( #7, #97 ), references = 3, size of lhs = 5:
% 6.69/6.91 P_mult-{F}(V0,V1,V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V3,V0,V4), P_mult-{F}(V2,V0,V5), V4 == V5 | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #120: exists( #7, #4 ), references = 2, size of lhs = 5:
% 6.69/6.91 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V2,V4,V5), P_mult-{F}(V1,V3,V6), P_mult-{F}(V6,V0,V7) | P_mult-{T}(V0,V7,V5)
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #183: exists( #7, #181 ), references = 3, size of lhs = 5:
% 6.69/6.91 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V2,V4,V5), P_mult-{F}(V1,V3,V6), P_ld-{F}(V0,V5,V7) | P_mult-{T}(V6,V0,V7)
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #199: exists( #8, #193 ), references = 2, size of lhs = 7:
% 6.69/6.91 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V3,V1), P_mult-{F}(V4,V2,V5), P_mult-{F}(V3,V4,V6), P_mult-{F}(V5,V6,V7), P_ld-{F}(V4,V8,V0), V4 == V8 | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #200: exists( #8, #194 ), references = 2, size of lhs = 7:
% 6.69/6.91 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V3,V1), P_rd-{F}(V4,V0,V5), V5 == V4, P_mult-{F}(V5,V2,V6), P_mult-{F}(V3,V5,V7), P_mult-{F}(V6,V7,V8) | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #201: exists( #8, #195 ), references = 1, size of lhs = 7:
% 6.69/6.91 P_ld-{F}(V0,V0,V1), P_mult-{F}(V0,V2,V3), P_mult-{F}(V4,V0,V5), P_mult-{F}(V3,V5,V6), P_mult-{F}(V2,V4,V7), P_mult-{F}(V8,V7,V7), V1 == V8 | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #206: exists( #7, #202 ), references = 1, size of lhs = 5:
% 6.69/6.91 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V3,V1), P_mult-{F}(V4,V2,V5), P_mult-{F}(V3,V4,V6), P_mult-{F}(V5,V6,V7) | P_mult-{T}(V4,V0,V4)
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #231: exists( #8, #227 ), references = 3, size of lhs = 11:
% 6.69/6.91 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V3,V0), P_mult-{F}(V3,V4,V5), P_mult-{F}(V6,V3,V7), P_mult-{F}(V5,V7,V8), P_mult-{F}(V4,V6,V9), P_mult-{F}(V10,V2,V9), P_mult-{F}(V3,V10,V11), P_mult-{F}(V1,V12,V11), P_mult-{F}(V12,V0,V13), V8 == V13 | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #232: exists( #8, #228 ), references = 1, size of lhs = 14:
% 6.69/6.91 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V3,V1), P_mult-{F}(V3,V4,V5), P_mult-{F}(V6,V3,V7), P_mult-{F}(V5,V7,V8), P_mult-{F}(V4,V6,V9), P_mult-{F}(V10,V2,V9), P_mult-{F}(V3,V10,V11), P_mult-{F}(V12,V0,V11), P_mult-{F}(V12,V1,V13), V8 == V13, P_mult-{F}(V14,V1,V15), P_mult-{F}(V12,V14,V16), P_mult-{F}(V16,V1,V15) | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #270: mergings( V5 == V9; #268 ), references = 1, size of lhs = 12:
% 6.69/6.91 P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V3), P_mult-{F}(V2,V3,V4), P_mult-{F}(V5,V2,V6), P_rd-{F}(V4,V6,V7), P_mult-{F}(V1,V8,V6), P_mult-{F}(V8,V0,V9), P_mult-{F}(V5,V10,V11), P_mult-{F}(V10,V12,V7), P_mult-{F}(V12,V5,V13), P_mult-{F}(V11,V13,V14), V14 == V9 | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #332: exists( #7, #328 ), references = 1, size of lhs = 5:
% 6.69/6.91 P_mult-{F}(V0,V1,V2), V0 == V2, P_mult-{F}(V3,V0,V4), P_mult-{F}(V1,V3,V5), P_mult-{F}(V5,V0,V4) | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #333: exists( #7, #326 ), references = 1, size of lhs = 10:
% 6.69/6.91 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V3,V1), P_mult-{F}(V4,V2,V5), P_mult-{F}(V3,V4,V6), P_ld-{F}(V4,V7,V0), V4 == V7, P_mult-{F}(V8,V9,V5), P_mult-{F}(V10,V8,V6), P_mult-{F}(V9,V10,V11), P_mult-{F}(V11,V8,V12) | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #334: exists( #7, #327 ), references = 1, size of lhs = 10:
% 6.69/6.91 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V3,V1), P_rd-{F}(V4,V0,V5), V5 == V4, P_mult-{F}(V5,V2,V6), P_mult-{F}(V3,V5,V7), P_mult-{F}(V8,V9,V6), P_mult-{F}(V10,V8,V7), P_mult-{F}(V9,V10,V11), P_mult-{F}(V11,V8,V12) | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #338: exists( #7, #330 ), references = 1, size of lhs = 10:
% 6.69/6.91 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V3,V1), P_mult-{F}(V4,V2,V5), P_mult-{F}(V3,V4,V6), P_ld-{F}(V4,V7,V0), V4 == V7, P_mult-{F}(V8,V9,V5), P_mult-{F}(V10,V8,V6), P_mult-{F}(V9,V10,V11), P_mult-{F}(V11,V8,V12) | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #339: exists( #7, #331 ), references = 1, size of lhs = 10:
% 6.69/6.91 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V3,V1), P_rd-{F}(V4,V0,V5), V5 == V4, P_mult-{F}(V5,V2,V6), P_mult-{F}(V3,V5,V7), P_mult-{F}(V8,V9,V6), P_mult-{F}(V10,V8,V7), P_mult-{F}(V9,V10,V11), P_mult-{F}(V11,V8,V12) | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #345: exists( #7, #335 ), references = 3, size of lhs = 3:
% 6.69/6.91 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V1,V2), P_mult-{F}(V4,V0,V3) | P_mult-{T}(V1,V4,V1)
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #346: exists( #7, #340 ), references = 1, size of lhs = 6:
% 6.69/6.91 P_mult-{F}(V0,V1,V1), P_mult-{F}(V0,V2,V1), P_mult-{F}(V2,V3,V4), P_mult-{F}(V5,V3,V4), P_mult-{F}(V0,V5,V6), P_mult-{F}(V6,V3,V7) | P_mult-{T}(V3,V0,V3)
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #351: exists( #7, #347 ), references = 1, size of lhs = 5:
% 6.69/6.91 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V1,V0), P_mult-{F}(V3,V2,V4), P_mult-{F}(V4,V1,V3), P_mult-{F}(V3,V0,V5) | P_mult-{T}(V1,V3,V5)
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #352: exists( #7, #348 ), references = 1, size of lhs = 9:
% 6.69/6.91 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V1,V0), P_mult-{F}(V3,V1,V4), P_mult-{F}(V5,V1,V4), P_mult-{F}(V6,V3,V7), P_mult-{F}(V7,V1,V6), P_mult-{F}(V6,V5,V8), P_mult-{F}(V6,V2,V8), P_mult-{F}(V6,V0,V9) | P_mult-{T}(V1,V6,V9)
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #359: exists( #7, #355 ), references = 1, size of lhs = 3:
% 6.69/6.91 P_mult-{F}(V0,V0,V0), pppp0-{F}(V0,V1), P_mult-{F}(V0,V2,V2) | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #362: exists( #5, #357 ), references = 2, size of lhs = 2:
% 6.69/6.91 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V1) | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #378: exists( #9, #375 ), references = 1, size of lhs = 3:
% 6.69/6.91 P_ld-{F}(V0,V0,V1), P_mult-{F}(V2,V0,V3), P_mult-{F}(V4,V0,V3) | P_rd-{T}(V4,V2,V1)
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #384: exists( #8, #382 ), references = 1, size of lhs = 1:
% 6.69/6.91 P_mult-{F}(V0,V0,V1) | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 #386: exists( #7, #383 ), references = 1, size of lhs = 1:
% 6.69/6.91 #-{F} V0 | FALSE
% 6.69/6.91 (used 0 times, uses = {})
% 6.69/6.91
% 6.69/6.91 number of learnt formulas = 34
% 6.69/6.91
% 6.69/6.91
% 6.69/6.91 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.69/6.91
% 6.69/6.91 randbase = 1
%------------------------------------------------------------------------------