TSTP Solution File: GRP001-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP001-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:02:55 EDT 2022
% Result : Unsatisfiable 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n008.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
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 14:04:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.44 GeoParameters:
% 0.19/0.44
% 0.19/0.44 tptp_input = 1
% 0.19/0.44 tptp_output = 0
% 0.19/0.44 nonempty = 1
% 0.19/0.44 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44
% 0.19/0.44 RuleSystem INPUT:
% 0.19/0.44
% 0.19/0.44 Initial Rules:
% 0.19/0.44 #0: input, references = 5, size of lhs = 3:
% 0.19/0.44 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V1 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #1: input, references = 4, size of lhs = 4:
% 0.19/0.44 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V3), V3 == V0 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #2: input, references = 5, size of lhs = 6:
% 0.19/0.44 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V4), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V2,V3,V6), P_multiply-{F}(V1,V6,V7), V5 == V7 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #3: input, references = 4, size of lhs = 3:
% 0.19/0.44 P_identity-{F}(V0), P_multiply-{F}(V1,V0,V2), V2 == V1 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #4: input, references = 4, size of lhs = 4:
% 0.19/0.44 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V1,V2,V3), V3 == V0 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #5: input, references = 4, size of lhs = 3:
% 0.19/0.44 P_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), V2 == V0 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #6: input, references = 5, size of lhs = 6:
% 0.19/0.44 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), V3 == V4 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #7: input, references = 4, size of lhs = 6:
% 0.19/0.44 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V4) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #8: input, references = 8, size of lhs = 2:
% 0.19/0.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #9: input, references = 4, size of lhs = 0:
% 0.19/0.44 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #10: input, references = 4, size of lhs = 1:
% 0.19/0.44 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #11: input, references = 4, size of lhs = 0:
% 0.19/0.44 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #12: input, references = 4, size of lhs = 0:
% 0.19/0.44 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #13: input, references = 5, size of lhs = 0:
% 0.19/0.44 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 number of initial rules = 14
% 0.19/0.44
% 0.19/0.44 Simplifiers:
% 0.19/0.44 #14: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #15: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #16: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #17: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #18: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #19: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 number of simplifiers = 6
% 0.19/0.44
% 0.19/0.44 Learnt:
% 0.19/0.44 #23: exists( #8, #5 ), references = 4, size of lhs = 2:
% 0.19/0.44 P_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V1,V1,V0)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #24: exists( #8, #1 ), references = 1, size of lhs = 2:
% 0.19/0.44 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_multiply-{T}(V2,V1,V0)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #25: exists( #8, #4 ), references = 2, size of lhs = 2:
% 0.19/0.44 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_multiply-{T}(V1,V2,V0)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #27: exists( #13, #6 ), references = 1, size of lhs = 4:
% 0.19/0.44 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3) | P_c-{T}(V3)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #36: mergings( V2 == V0; #33 ), references = 1, size of lhs = 1:
% 0.19/0.44 P_identity-{F}(V0) | P_inverse-{T}(V0,V0)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #39: exists( #8, #3 ), references = 2, size of lhs = 2:
% 0.19/0.44 P_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V1,V0,V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #44: exists( #8, #0 ), references = 2, size of lhs = 2:
% 0.19/0.44 P_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V0,V1,V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #45: exists( #8, #2 ), references = 3, size of lhs = 4:
% 0.19/0.44 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V1,V5,V6) | P_multiply-{T}(V3,V4,V6)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #49: exists( #8, #6 ), references = 2, size of lhs = 4:
% 0.19/0.44 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3) | P_multiply-{T}(V1,V2,V3)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #53: exists( #8, #2 ), references = 2, size of lhs = 4:
% 0.19/0.44 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V2,V4,V6) | P_multiply-{T}(V1,V6,V5)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #67: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #60 ), references = 1, size of lhs = 8:
% 0.19/0.44 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V1,V3), P_multiply-{F}(V3,V2,V2), P_multiply-{F}(V0,V4,V2), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V1,V5,V1) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #78: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #70 ), references = 2, size of lhs = 4:
% 0.19/0.44 P_identity-{F}(V0), P_a-{F}(V1), P_multiply-{F}(V1,V1,V0), P_multiply-{F}(V1,V0,V1) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #82: exists( #11, #80 ), references = 1, size of lhs = 1:
% 0.19/0.44 P_identity-{F}(V0) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #84: exists( #9, #81 ), references = 1, size of lhs = 0:
% 0.19/0.44 FALSE | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 number of learnt formulas = 14
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44
% 0.19/0.44 randbase = 1
%------------------------------------------------------------------------------