TSTP Solution File: GRP009-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP009-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 0.16s 0.45s
% Output : Refutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.10 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Fri Jul 22 14:29:35 EDT 2022
% 0.16/0.31 % CPUTime :
% 0.16/0.45 GeoParameters:
% 0.16/0.45
% 0.16/0.45 tptp_input = 1
% 0.16/0.45 tptp_output = 0
% 0.16/0.45 nonempty = 1
% 0.16/0.45 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.45 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.16/0.45
% 0.16/0.45
% 0.16/0.45 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.45 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.45
% 0.16/0.45 RuleSystem INPUT:
% 0.16/0.45
% 0.16/0.45 Initial Rules:
% 0.16/0.45 #0: input, references = 6, size of lhs = 2:
% 0.16/0.45 P_identity-{F}(V0), #-{F} V1 | product-{T}(V0,V1,V1)
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #1: input, references = 6, size of lhs = 2:
% 0.16/0.45 P_identity-{F}(V0), #-{F} V1 | product-{T}(V1,V0,V1)
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #2: input, references = 3, size of lhs = 2:
% 0.16/0.45 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | product-{T}(V2,V1,V0)
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #3: input, references = 5, size of lhs = 2:
% 0.16/0.45 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | product-{T}(V1,V2,V0)
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #4: input, references = 4, size of lhs = 2:
% 0.16/0.45 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #5: input, references = 8, size of lhs = 4:
% 0.16/0.45 P_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2), V1 == V2 | FALSE
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #6: input, references = 4, size of lhs = 4:
% 0.16/0.45 P_identity-{F}(V0), product-{F}(V3,V1,V2), product-{F}(V5,V1,V4), product-{F}(V6,V5,V3) | product-{T}(V6,V4,V2)
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #7: input, references = 4, size of lhs = 4:
% 0.16/0.45 P_identity-{F}(V0), product-{F}(V5,V1,V4), product-{F}(V6,V5,V3), product-{F}(V6,V4,V2) | product-{T}(V3,V1,V2)
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #8: input, references = 5, size of lhs = 3:
% 0.16/0.45 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2) | product-{T}(V1,V2,V0)
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #9: input, references = 5, size of lhs = 4:
% 0.16/0.45 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3) | product-{T}(V3,V2,V0)
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #10: input, references = 4, size of lhs = 4:
% 0.16/0.45 P_identity-{F}(V0), P_a-{F}(V3), P_b-{F}(V2), P_c-{F}(V3) | FALSE
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #11: input, references = 4, size of lhs = 0:
% 0.16/0.45 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #12: input, references = 4, size of lhs = 1:
% 0.16/0.45 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #13: input, references = 4, size of lhs = 2:
% 0.16/0.45 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #14: input, references = 4, size of lhs = 0:
% 0.16/0.45 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #15: input, references = 5, size of lhs = 0:
% 0.16/0.45 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #16: input, references = 5, size of lhs = 0:
% 0.16/0.45 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 number of initial rules = 17
% 0.16/0.45
% 0.16/0.45 Simplifiers:
% 0.16/0.45 #17: unsound, references = 3, size of lhs = 3:
% 0.16/0.45 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #18: unsound, references = 3, size of lhs = 3:
% 0.16/0.45 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #19: unsound, references = 3, size of lhs = 3:
% 0.16/0.45 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #20: unsound, references = 3, size of lhs = 3:
% 0.16/0.45 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #21: unsound, references = 3, size of lhs = 3:
% 0.16/0.45 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #22: unsound, references = 3, size of lhs = 3:
% 0.16/0.45 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 number of simplifiers = 6
% 0.16/0.45
% 0.16/0.45 Learnt:
% 0.16/0.45 #29: mergings( V1 == V2, V2 == V3; #26 ), references = 1, size of lhs = 2:
% 0.16/0.45 P_a-{F}(V0), P_identity-{F}(V0) | P_b-{T}(V0)
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #36: mergings( V1 == V2, V2 == V4; #33 ), references = 1, size of lhs = 3:
% 0.16/0.45 P_b-{F}(V0), P_identity-{F}(V0), P_a-{F}(V1) | P_c-{T}(V0)
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #47: mergings( V1 == V2, V2 == V5, V5 == V6; #43 ), references = 2, size of lhs = 5:
% 0.16/0.45 P_a-{F}(V0), P_b-{F}(V1), P_identity-{F}(V2), product-{F}(V1,V3,V2), product-{F}(V2,V3,V4) | P_c-{T}(V4)
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #60: mergings( V3 == V4; #58 ), references = 1, size of lhs = 2:
% 0.16/0.45 P_identity-{F}(V0), product-{F}(V1,V2,V3) | P_multiply-{T}(V1,V2,V3)
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #79: mergings( V2 == V3, V3 == V4, V4 == V5; #75 ), references = 2, size of lhs = 3:
% 0.16/0.45 P_identity-{F}(V0), product-{F}(V1,V2,V0), product-{F}(V1,V0,V3) | P_inverse-{T}(V2,V3)
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #90: mergings( V2 == V5, V5 == V7, V1 == V3, V3 == V6; #85 ), references = 2, size of lhs = 4:
% 0.16/0.45 P_a-{F}(V0), P_identity-{F}(V1), product-{F}(V0,V1,V2), product-{F}(V1,V2,V0) | FALSE
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #94: exists( #14, #92 ), references = 1, size of lhs = 1:
% 0.16/0.45 P_identity-{F}(V0) | FALSE
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 #96: exists( #11, #93 ), references = 1, size of lhs = 0:
% 0.16/0.45 FALSE | FALSE
% 0.16/0.45 (used 0 times, uses = {})
% 0.16/0.45
% 0.16/0.45 number of learnt formulas = 8
% 0.16/0.45
% 0.16/0.45
% 0.16/0.45 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.45
% 0.16/0.45 randbase = 1
%------------------------------------------------------------------------------