TSTP Solution File: ALG211+1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ALG211+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 05:57:22 EDT 2022
% Result : Theorem 0.12s 0.36s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG211+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 10:54:55 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 Theorem 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_vec_to_class-{F}(V1,V2), basis_of-{F}(V0,V1) | lin_ind_subset-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #1: input, references = 4, size of lhs = 2:
% 0.12/0.36 P_vec_to_class-{F}(V1,V2), basis_of-{F}(V0,V1) | a_subset_of-{T}(V0,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #2: input, references = 4, size of lhs = 2:
% 0.12/0.36 basis_of-{F}(V0,V1), lin_ind_subset-{F}(V2,V1) | EXISTS V3: pppp0-{T}(V1,V2,V0,V3)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #3: input, references = 4, size of lhs = 2:
% 0.12/0.36 pppp0-{F}(V0,V1,V2,V3), P_union-{F}(V1,V3,V4) | basis_of-{T}(V4,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #4: input, references = 3, size of lhs = 2:
% 0.12/0.36 pppp0-{F}(V0,V1,V2,V3), P_union-{F}(V1,V3,V4) | a_subset_of-{T}(V3,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #5: input, references = 5, size of lhs = 1:
% 0.12/0.36 a_vector_space-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #6: input, references = 5, size of lhs = 1:
% 0.12/0.36 pppp1-{F}(V0,V1) | basis_of-{T}(V1,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #7: input, references = 4, size of lhs = 1:
% 0.12/0.36 a_vector_subspace_of-{F}(V0,V1) | a_vector_space-{T}(V0)
% 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_vec_to_class-{F}(V0,V2), a_subset_of-{F}(V1,V2), a_vector_subspace_of-{F}(V0,V3), lin_ind_subset-{F}(V1,V0) | lin_ind_subset-{T}(V1,V3)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #9: input, references = 3, size of lhs = 4:
% 0.12/0.36 P_vec_to_class-{F}(V0,V2), a_subset_of-{F}(V1,V2), a_vector_subspace_of-{F}(V0,V3), lin_ind_subset-{F}(V1,V3) | lin_ind_subset-{T}(V1,V0)
% 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: pppp3-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #11: input, references = 4, size of lhs = 1:
% 0.12/0.36 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #12: input, references = 4, size of lhs = 1:
% 0.12/0.36 pppp3-{F}(V0) | a_vector_space-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #13: input, references = 4, size of lhs = 4:
% 0.12/0.36 pppp2-{F}(V0,V1), basis_of-{F}(V2,V1), P_union-{F}(V2,V3,V4), basis_of-{F}(V4,V0) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #14: input, references = 4, size of lhs = 1:
% 0.12/0.36 pppp2-{F}(V0,V1) | a_vector_subspace_of-{T}(V1,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #15: input, references = 4, size of lhs = 1:
% 0.12/0.36 #-{F} V0 | EXISTS V1: P_vec_to_class-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #16: input, references = 4, size of lhs = 2:
% 0.12/0.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 number of initial rules = 17
% 0.12/0.36
% 0.12/0.36 Simplifiers:
% 0.12/0.36 #17: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 a_vector_subspace_of-{F}(V0,V1), a_vector_subspace_of-{F}(V2,V1), V0 == V2 | 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 a_vector_subspace_of-{F}(V0,V1), a_vector_subspace_of-{F}(V2,V3), V1 == V3 | 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_vec_to_class-{F}(V0,V1), P_vec_to_class-{F}(V0,V3), V1 == V3 | 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_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | 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 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #22: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #23: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #24: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #25: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 number of simplifiers = 9
% 0.12/0.36
% 0.12/0.36 Learnt:
% 0.12/0.36 #30: exists( #16, #28 ), references = 1, size of lhs = 3:
% 0.12/0.36 pppp2-{F}(V0,V1), basis_of-{F}(V2,V1), pppp0-{F}(V0,V2,V3,V4) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #32: exists( #2, #29 ), references = 1, size of lhs = 4:
% 0.12/0.36 basis_of-{F}(V0,V1), lin_ind_subset-{F}(V2,V1), pppp2-{F}(V1,V3), basis_of-{F}(V2,V3) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #39: mergings( V4 == V5; #37 ), references = 2, size of lhs = 5:
% 0.12/0.36 a_vector_space-{F}(V0), a_vector_subspace_of-{F}(V0,V1), pppp2-{F}(V1,V0), basis_of-{F}(V2,V1), P_vec_to_class-{F}(V0,V3) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #43: exists( #15, #39 ), references = 1, size of lhs = 4:
% 0.12/0.36 a_vector_space-{F}(V0), a_vector_subspace_of-{F}(V0,V1), pppp2-{F}(V1,V0), basis_of-{F}(V2,V1) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #47: exists( #11, #45 ), references = 1, size of lhs = 2:
% 0.12/0.36 pppp3-{F}(V0), basis_of-{F}(V1,V0) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #50: exists( #5, #48 ), references = 1, size of lhs = 2:
% 0.12/0.36 a_vector_space-{F}(V0), pppp3-{F}(V0) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #53: exists( #10, #51 ), 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 = 7
% 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
%------------------------------------------------------------------------------