TSTP Solution File: TOP004-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : TOP004-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 : Fri Sep 1 05:54:31 EDT 2023
% Result : Unsatisfiable 0.17s 0.50s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP004-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.33 % Computer : n012.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
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 23:28:10 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.17/0.46 %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.47 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.vSB9cF7K8j/cvc5---1.0.5_9091.p...
% 0.17/0.47 ------- get file name : TPTP file name is TOP004-2
% 0.17/0.48 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9091.smt2...
% 0.17/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.17/0.50 % SZS status Unsatisfiable for TOP004-2
% 0.17/0.50 % SZS output start Proof for TOP004-2
% 0.17/0.51 (
% 0.17/0.51 (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted)) (not (tptp.element_of_collection (tptp.intersection_of_sets U V) (tptp.top_of_basis tptp.f)))))) (let ((_let_2 (forall ((U $$unsorted)) (tptp.element_of_collection U (tptp.top_of_basis tptp.f))))) (let ((_let_3 (tptp.top_of_basis tptp.f))) (let ((_let_4 (tptp.intersection_of_sets tptp.cx tptp.cx))) (let ((_let_5 (tptp.element_of_collection _let_4 _let_3))) (let ((_let_6 (_let_2))) (let ((_let_7 (ASSUME :args _let_6))) (let ((_let_8 (_let_1))) (let ((_let_9 (ASSUME :args _let_8))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_7 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element_of_collection U _let_3) true))))) :args _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (tptp.cx tptp.cx QUANTIFIERS_INST_ENUM)) :args _let_8)) _let_9 :args ((not _let_5) false _let_1)) _let_7 :args (false true _let_5 false _let_2)) :args ((forall ((U $$unsorted) (Vf $$unsorted) (Uu1 $$unsorted)) (or (tptp.element_of_set U (tptp.union_of_members Vf)) (not (tptp.element_of_set U Uu1)) (not (tptp.element_of_collection Uu1 Vf)))) (forall ((X $$unsorted) (Vf $$unsorted)) (or (not (tptp.basis X Vf)) (tptp.equal_sets (tptp.union_of_members Vf) X))) (forall ((X $$unsorted) (Vf $$unsorted) (Y $$unsorted) (Vb1 $$unsorted) (Vb2 $$unsorted)) (or (not (tptp.basis X Vf)) (not (tptp.element_of_set Y X)) (not (tptp.element_of_collection Vb1 Vf)) (not (tptp.element_of_collection Vb2 Vf)) (not (tptp.element_of_set Y (tptp.intersection_of_sets Vb1 Vb2))) (tptp.element_of_set Y (tptp.f6 X Vf Y Vb1 Vb2)))) (forall ((X $$unsorted) (Vf $$unsorted) (Y $$unsorted) (Vb1 $$unsorted) (Vb2 $$unsorted)) (or (not (tptp.basis X Vf)) (not (tptp.element_of_set Y X)) (not (tptp.element_of_collection Vb1 Vf)) (not (tptp.element_of_collection Vb2 Vf)) (not (tptp.element_of_set Y (tptp.intersection_of_sets Vb1 Vb2))) (tptp.element_of_collection (tptp.f6 X Vf Y Vb1 Vb2) Vf))) (forall ((X $$unsorted) (Vf $$unsorted) (Y $$unsorted) (Vb1 $$unsorted) (Vb2 $$unsorted)) (let ((_let_1 (tptp.intersection_of_sets Vb1 Vb2))) (or (not (tptp.basis X Vf)) (not (tptp.element_of_set Y X)) (not (tptp.element_of_collection Vb1 Vf)) (not (tptp.element_of_collection Vb2 Vf)) (not (tptp.element_of_set Y _let_1)) (tptp.subset_sets (tptp.f6 X Vf Y Vb1 Vb2) _let_1)))) (forall ((U $$unsorted) (Vf $$unsorted) (X $$unsorted)) (or (not (tptp.element_of_collection U (tptp.top_of_basis Vf))) (not (tptp.element_of_set X U)) (tptp.element_of_set X (tptp.f10 Vf U X)))) (forall ((U $$unsorted) (Vf $$unsorted) (X $$unsorted)) (or (not (tptp.element_of_collection U (tptp.top_of_basis Vf))) (not (tptp.element_of_set X U)) (tptp.element_of_collection (tptp.f10 Vf U X) Vf))) (forall ((U $$unsorted) (Vf $$unsorted) (X $$unsorted)) (or (not (tptp.element_of_collection U (tptp.top_of_basis Vf))) (not (tptp.element_of_set X U)) (tptp.subset_sets (tptp.f10 Vf U X) U))) (forall ((U $$unsorted) (Vf $$unsorted)) (or (tptp.element_of_collection U (tptp.top_of_basis Vf)) (tptp.element_of_set (tptp.f11 Vf U) U))) (forall ((U $$unsorted) (Vf $$unsorted) (Uu11 $$unsorted)) (or (tptp.element_of_collection U (tptp.top_of_basis Vf)) (not (tptp.element_of_set (tptp.f11 Vf U) Uu11)) (not (tptp.element_of_collection Uu11 Vf)) (not (tptp.subset_sets Uu11 U)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.subset_sets X Y)) (not (tptp.subset_sets Y Z)) (tptp.subset_sets X Z))) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.element_of_set Z (tptp.intersection_of_sets X Y))) (tptp.element_of_set Z X))) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.element_of_set Z (tptp.intersection_of_sets X Y))) (tptp.element_of_set Z Y))) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (tptp.element_of_set Z (tptp.intersection_of_sets X Y)) (not (tptp.element_of_set Z X)) (not (tptp.element_of_set Z Y)))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.subset_sets X Y)) (not (tptp.subset_sets U V)) (tptp.subset_sets (tptp.intersection_of_sets X U) (tptp.intersection_of_sets Y V)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equal_sets X Y)) (not (tptp.element_of_set Z X)) (tptp.element_of_set Z Y))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.equal_sets (tptp.intersection_of_sets X Y) (tptp.intersection_of_sets Y X))) (tptp.basis tptp.cx tptp.f) _let_2 (forall ((V $$unsorted)) (tptp.element_of_collection V (tptp.top_of_basis tptp.f))) _let_1))))))))))))
% 0.17/0.51 )
% 0.17/0.51 % SZS output end Proof for TOP004-2
% 0.17/0.51 % cvc5---1.0.5 exiting
% 0.17/0.51 % cvc5---1.0.5 exiting
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