TSTP Solution File: GRP008-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP008-1 : TPTP v8.1.0. Released v1.0.0.
% 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 06:02:57 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n009.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 13:55:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.50 GeoParameters:
% 0.19/0.50
% 0.19/0.50 tptp_input = 1
% 0.19/0.50 tptp_output = 0
% 0.19/0.50 nonempty = 1
% 0.19/0.50 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50
% 0.19/0.50 RuleSystem INPUT:
% 0.19/0.50
% 0.19/0.50 Initial Rules:
% 0.19/0.50 #0: input, references = 4, size of lhs = 2:
% 0.19/0.50 P_identity-{F}(V0), #-{F} V1 | product-{T}(V0,V1,V1)
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #1: input, references = 5, size of lhs = 2:
% 0.19/0.50 P_identity-{F}(V0), #-{F} V1 | product-{T}(V1,V0,V1)
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #2: input, references = 4, size of lhs = 2:
% 0.19/0.50 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | product-{T}(V2,V1,V0)
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #3: input, references = 3, size of lhs = 2:
% 0.19/0.50 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | product-{T}(V1,V2,V0)
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #4: input, references = 4, size of lhs = 2:
% 0.19/0.50 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #5: input, references = 5, size of lhs = 4:
% 0.19/0.50 P_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2), V1 == V2 | FALSE
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #6: input, references = 3, size of lhs = 4:
% 0.19/0.50 P_identity-{F}(V0), product-{F}(V3,V1,V2), product-{F}(V5,V1,V4), product-{F}(V6,V5,V3) | product-{T}(V6,V4,V2)
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #7: input, references = 3, size of lhs = 4:
% 0.19/0.50 P_identity-{F}(V0), product-{F}(V5,V1,V4), product-{F}(V6,V5,V3), product-{F}(V6,V4,V2) | product-{T}(V3,V1,V2)
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #8: input, references = 3, size of lhs = 3:
% 0.19/0.50 P_identity-{F}(V0), q-{F}(V1), product-{F}(V1,V3,V2) | product-{T}(V3,V1,V2)
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #9: input, references = 4, size of lhs = 3:
% 0.19/0.50 P_identity-{F}(V0), P_j-{F}(V1,V2), P_h-{F}(V1,V3) | product-{T}(V2,V1,V3), product-{T}(V1,V2,V3), q-{T}(V1)
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #10: input, references = 5, size of lhs = 5:
% 0.19/0.50 P_identity-{F}(V0), P_j-{F}(V1,V2), P_h-{F}(V1,V3), product-{F}(V2,V1,V3), product-{F}(V1,V2,V3) | q-{T}(V1)
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #11: input, references = 6, size of lhs = 2:
% 0.19/0.50 P_identity-{F}(V0), q-{F}(V0) | FALSE
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #12: input, references = 4, size of lhs = 0:
% 0.19/0.50 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #13: input, references = 4, size of lhs = 1:
% 0.19/0.50 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #14: input, references = 4, size of lhs = 2:
% 0.19/0.50 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #15: input, references = 4, size of lhs = 1:
% 0.19/0.50 #-{F} V0 | EXISTS V1: P_j-{T}(V0,V1)
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #16: input, references = 4, size of lhs = 1:
% 0.19/0.50 #-{F} V0 | EXISTS V1: P_h-{T}(V0,V1)
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 number of initial rules = 17
% 0.19/0.50
% 0.19/0.50 Simplifiers:
% 0.19/0.50 #17: unsound, references = 3, size of lhs = 3:
% 0.19/0.50 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #18: unsound, references = 3, size of lhs = 3:
% 0.19/0.50 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #19: unsound, references = 3, size of lhs = 3:
% 0.19/0.50 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #20: unsound, references = 3, size of lhs = 3:
% 0.19/0.50 P_j-{F}(V0,V1), P_j-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.50 P_h-{F}(V0,V1), P_h-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 number of simplifiers = 5
% 0.19/0.50
% 0.19/0.50 Learnt:
% 0.19/0.50 #27: mergings( V3 == V4; #25 ), references = 1, size of lhs = 2:
% 0.19/0.50 P_identity-{F}(V0), product-{F}(V1,V2,V3) | P_multiply-{T}(V1,V2,V3)
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #38: mergings( V0 == V4, V4 == V6; #35 ), references = 2, size of lhs = 7:
% 0.19/0.50 P_identity-{F}(V0), P_j-{F}(V1,V2), P_h-{F}(V1,V3), product-{F}(V2,V1,V4), V4 == V3, product-{F}(V1,V2,V5), V5 == V3 | q-{T}(V1)
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #45: mergings( V0 == V2, V2 == V3; #42 ), references = 1, size of lhs = 1:
% 0.19/0.50 P_identity-{F}(V0) | P_inverse-{T}(V0,V0)
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #50: mergings( V2 == V0; #48 ), references = 1, size of lhs = 4:
% 0.19/0.50 P_identity-{F}(V0), P_j-{F}(V0,V1), product-{F}(V1,V0,V2), product-{F}(V0,V1,V3) | P_h-{T}(V0,V2), P_h-{T}(V0,V3)
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #56: mergings( V0 == V5, V5 == V1, V2 == V6; #52 ), references = 2, size of lhs = 5:
% 0.19/0.50 P_identity-{F}(V0), P_j-{F}(V0,V1), product-{F}(V0,V1,V2), product-{F}(V1,V0,V3), product-{F}(V0,V1,V3) | P_h-{T}(V0,V2)
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #65: mergings( V2 == V0; #63 ), references = 1, size of lhs = 1:
% 0.19/0.50 P_identity-{F}(V0) | FALSE
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 #67: exists( #12, #63 ), references = 1, size of lhs = 0:
% 0.19/0.50 FALSE | FALSE
% 0.19/0.50 (used 0 times, uses = {})
% 0.19/0.50
% 0.19/0.50 number of learnt formulas = 7
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50
% 0.19/0.50 randbase = 1
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