TSTP Solution File: SET014-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET014-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n024.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 : Thu Aug 31 14:36:43 EDT 2023

% Result   : Unsatisfiable 0.22s 0.55s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SET014-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n024.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 16:30:24 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.eIwWMWQHcS/cvc5---1.0.5_1943.p...
% 0.22/0.52  ------- get file name : TPTP file name is SET014-2
% 0.22/0.52  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1943.smt2...
% 0.22/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.55  % SZS status Unsatisfiable for SET014-2
% 0.22/0.55  % SZS output start Proof for SET014-2
% 0.22/0.55  (
% 0.22/0.55  (let ((_let_1 (tptp.union tptp.as tptp.bs))) (let ((_let_2 (tptp.subset _let_1 tptp.cs))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.subset tptp.bs tptp.cs))) (let ((_let_5 (tptp.subset tptp.as tptp.cs))) (let ((_let_6 (forall ((X $$unsorted) (Xs $$unsorted) (Ys $$unsorted)) (or (not (tptp.member X (tptp.union Xs Ys))) (tptp.member X Xs) (tptp.member X Ys))))) (let ((_let_7 (forall ((Subset $$unsorted) (Superset $$unsorted)) (or (not (tptp.member (tptp.member_of_1_not_of_2 Subset Superset) Superset)) (tptp.subset Subset Superset))))) (let ((_let_8 (forall ((Subset $$unsorted) (Superset $$unsorted)) (or (tptp.subset Subset Superset) (tptp.member (tptp.member_of_1_not_of_2 Subset Superset) Subset))))) (let ((_let_9 (forall ((Element $$unsorted) (Subset $$unsorted) (Superset $$unsorted)) (or (not (tptp.member Element Subset)) (not (tptp.subset Subset Superset)) (tptp.member Element Superset))))) (let ((_let_10 (tptp.member_of_1_not_of_2 _let_1 tptp.cs))) (let ((_let_11 (tptp.member _let_10 tptp.cs))) (let ((_let_12 (not _let_4))) (let ((_let_13 (tptp.member _let_10 tptp.bs))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12 _let_11))) (let ((_let_16 (_let_9))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (not _let_15))) (let ((_let_19 (tptp.member _let_10 tptp.as))) (let ((_let_20 (tptp.member _let_10 _let_1))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_13))) (let ((_let_23 (_let_6))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (not _let_5))) (let ((_let_26 (not _let_19))) (let ((_let_27 (or _let_26 _let_25 _let_11))) (let ((_let_28 ((not (= (tptp.member Element Subset) false)) (not (= (tptp.subset Subset Superset) false))))) (let ((_let_29 (not _let_11))) (let ((_let_30 (or _let_29 _let_2))) (let ((_let_31 (_let_7))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (ASSUME :args (_let_3)))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_2 _let_29 (not _let_30)))) _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_1 tptp.cs QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subset Subset Superset) true))))) :args _let_31)) _let_32 :args (_let_30 false _let_7)) :args (_let_29 true _let_2 false _let_30)))) (let ((_let_35 (or _let_2 _let_20))) (let ((_let_36 (_let_8))) (let ((_let_37 (ASSUME :args _let_36))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_10 tptp.bs tptp.cs QUANTIFIERS_INST_E_MATCHING _let_28)) :args _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_12 _let_11 _let_14 _let_18))) (ASSUME :args (_let_4)) _let_34 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_19 _let_13 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_2 _let_20 (not _let_35)))) _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_1 tptp.cs QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subset Subset Superset) true))))) :args _let_36)) _let_37 :args (_let_35 false _let_8)) :args (_let_20 true _let_2 false _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_25 _let_11 _let_26 (not _let_27)))) (ASSUME :args (_let_5)) _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_10 tptp.as tptp.cs QUANTIFIERS_INST_E_MATCHING _let_28)) :args _let_16)) _let_17 :args (_let_27 false _let_9)) :args (_let_26 false _let_5 true _let_11 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_10 tptp.as tptp.bs QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member X (tptp.union Xs Ys)) false))))) :args _let_23)) _let_24 :args (_let_22 false _let_6)) :args (_let_13 false _let_20 true _let_19 false _let_22)) :args (_let_18 false _let_4 true _let_11 false _let_13)) _let_17 :args (false true _let_15 false _let_9)) :args ((forall ((X $$unsorted)) (not (tptp.member X tptp.empty_set))) _let_9 _let_8 _let_7 (forall ((X $$unsorted) (Xs $$unsorted)) (or (tptp.member X Xs) (tptp.member X (tptp.complement Xs)))) (forall ((X $$unsorted) (Xs $$unsorted)) (or (not (tptp.member X Xs)) (not (tptp.member X (tptp.complement Xs))))) (forall ((X $$unsorted) (Xs $$unsorted) (Ys $$unsorted)) (or (not (tptp.member X Xs)) (tptp.member X (tptp.union Xs Ys)))) (forall ((X $$unsorted) (Ys $$unsorted) (Xs $$unsorted)) (or (not (tptp.member X Ys)) (tptp.member X (tptp.union Xs Ys)))) _let_6 (forall ((X $$unsorted) (Xs $$unsorted) (Ys $$unsorted)) (or (not (tptp.member X Xs)) (not (tptp.member X Ys)) (tptp.member X (tptp.intersection Xs Ys)))) (forall ((X $$unsorted) (Xs $$unsorted) (Ys $$unsorted)) (or (not (tptp.member X (tptp.intersection Xs Ys))) (tptp.member X Xs))) (forall ((X $$unsorted) (Xs $$unsorted) (Ys $$unsorted)) (or (not (tptp.member X (tptp.intersection Xs Ys))) (tptp.member X Ys))) (forall ((Subset $$unsorted) (Superset $$unsorted)) (or (not (tptp.equal_sets Subset Superset)) (tptp.subset Subset Superset))) (forall ((Superset $$unsorted) (Subset $$unsorted)) (or (not (tptp.equal_sets Superset Subset)) (tptp.subset Subset Superset))) (forall ((Set1 $$unsorted) (Set2 $$unsorted)) (or (not (tptp.subset Set1 Set2)) (not (tptp.subset Set2 Set1)) (tptp.equal_sets Set2 Set1))) (forall ((Xs $$unsorted)) (tptp.equal_sets Xs Xs)) (forall ((Xs $$unsorted) (Ys $$unsorted)) (or (not (tptp.equal_sets Xs Ys)) (tptp.equal_sets Ys Xs))) (forall ((Xs $$unsorted) (Ys $$unsorted) (Zs $$unsorted)) (or (not (tptp.equal_sets Xs Ys)) (not (tptp.equal_sets Ys Zs)) (tptp.equal_sets Xs Zs))) (forall ((X $$unsorted)) (tptp.equal_elements X X)) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.equal_elements X Y)) (tptp.equal_elements Y X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equal_elements X Y)) (not (tptp.equal_elements Y Z)) (tptp.equal_elements X Z))) _let_5 _let_4 _let_3))))))))))))))))))))))))))))))))))))))))
% 0.22/0.55  )
% 0.22/0.55  % SZS output end Proof for SET014-2
% 0.22/0.56  % cvc5---1.0.5 exiting
% 0.22/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------