TSTP Solution File: GRP043-2 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP043-2 : 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 06:03:03 EDT 2022
% Result : Unsatisfiable 0.12s 0.36s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP043-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n008.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 14:02:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.36 GeoParameters:
% 0.12/0.36
% 0.12/0.36 tptp_input = 1
% 0.12/0.36 tptp_output = 0
% 0.12/0.36 nonempty = 1
% 0.12/0.36 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36
% 0.12/0.36 RuleSystem INPUT:
% 0.12/0.36
% 0.12/0.36 Initial Rules:
% 0.12/0.36 #0: input, references = 4, size of lhs = 2:
% 0.12/0.36 P_identity-{F}(V0), #-{F} V1 | product-{T}(V0,V1,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #1: input, references = 3, size of lhs = 2:
% 0.12/0.36 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | product-{T}(V2,V1,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #2: input, references = 3, size of lhs = 2:
% 0.12/0.36 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #3: input, references = 4, size of lhs = 3:
% 0.12/0.36 P_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2) | equalish-{T}(V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #4: input, references = 3, size of lhs = 4:
% 0.12/0.36 P_identity-{F}(V0), product-{F}(V3,V1,V2), product-{F}(V5,V1,V4), product-{F}(V6,V5,V3) | product-{T}(V6,V4,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #5: input, references = 3, size of lhs = 4:
% 0.12/0.36 P_identity-{F}(V0), product-{F}(V5,V1,V4), product-{F}(V6,V5,V3), product-{F}(V6,V4,V2) | product-{T}(V3,V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #6: input, references = 5, size of lhs = 3:
% 0.12/0.36 P_identity-{F}(V0), equalish-{F}(V4,V1), product-{F}(V3,V2,V4) | product-{T}(V3,V2,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #7: input, references = 4, size of lhs = 3:
% 0.12/0.36 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2) | equalish-{T}(V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #8: input, references = 4, size of lhs = 4:
% 0.12/0.36 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3) | equalish-{T}(V2,V3)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #9: input, references = 4, size of lhs = 5:
% 0.12/0.36 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), equalish-{F}(V1,V3) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #10: input, references = 4, size of lhs = 0:
% 0.12/0.36 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #11: input, references = 3, size of lhs = 1:
% 0.12/0.36 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #12: input, references = 3, size of lhs = 2:
% 0.12/0.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #13: input, references = 4, size of lhs = 0:
% 0.12/0.36 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #14: input, references = 4, size of lhs = 0:
% 0.12/0.36 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #15: input, references = 4, size of lhs = 0:
% 0.12/0.36 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 number of initial rules = 16
% 0.12/0.36
% 0.12/0.36 Simplifiers:
% 0.12/0.36 #16: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #17: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #18: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #19: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #20: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #21: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 number of simplifiers = 6
% 0.12/0.36
% 0.12/0.36 Learnt:
% 0.12/0.36 #31: mergings( V1 == V4, V4 == V5, V5 == V6, V2 == V7, V3 == V8; #25 ), references = 2, size of lhs = 5:
% 0.12/0.36 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), product-{F}(V3,V4,V2), product-{F}(V3,V4,V1) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #41: mergings( V1 == V3, V3 == V4, V2 == V5; #37 ), references = 2, size of lhs = 3:
% 0.12/0.36 P_identity-{F}(V0), P_a-{F}(V1), product-{F}(V2,V3,V1) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #45: mergings( V1 == V2; #43 ), references = 1, size of lhs = 1:
% 0.12/0.36 P_identity-{F}(V0) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #47: exists( #10, #43 ), references = 1, size of lhs = 0:
% 0.12/0.36 FALSE | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 number of learnt formulas = 4
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36
% 0.12/0.36 randbase = 1
%------------------------------------------------------------------------------