%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET012-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 14:36:41 EDT 2023

% Result   : Unsatisfiable 0.22s 0.56s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET012-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.37  % Computer : n022.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Sat Aug 26 13:45:10 EDT 2023
% 0.14/0.37  % CPUTime    : 
% 0.22/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.53  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.kpwWgtJBwh/cvc5---1.0.5_3206.p...
% 0.22/0.53  ------- get file name : TPTP file name is SET012-1
% 0.22/0.54  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3206.smt2...
% 0.22/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.56  % SZS status Unsatisfiable for SET012-1
% 0.22/0.56  % SZS output start Proof for SET012-1
% 0.22/0.56  (
% 0.22/0.56  (let ((_let_1 (tptp.complement tptp.a))) (let ((_let_2 (tptp.complement _let_1))) (let ((_let_3 (tptp.equal_sets _let_2 tptp.a))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((Set1 $$unsorted) (Set2 $$unsorted)) (or (not (tptp.subset Set1 Set2)) (not (tptp.subset Set2 Set1)) (tptp.equal_sets Set2 Set1))))) (let ((_let_6 (forall ((X $$unsorted) (Xs $$unsorted)) (or (not (tptp.member X Xs)) (not (tptp.member X (tptp.complement Xs))))))) (let ((_let_7 (forall ((X $$unsorted) (Xs $$unsorted)) (or (tptp.member X Xs) (tptp.member X (tptp.complement Xs)))))) (let ((_let_8 (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_9 (forall ((Subset $$unsorted) (Superset $$unsorted)) (or (tptp.subset Subset Superset) (tptp.member (tptp.member_of_1_not_of_2 Subset Superset) Subset))))) (let ((_let_10 (tptp.member_of_1_not_of_2 tptp.a _let_2))) (let ((_let_11 (tptp.member _let_10 _let_1))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.member _let_10 tptp.a))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12))) (let ((_let_16 (_let_6))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (not _let_15))) (let ((_let_19 (tptp.member _let_10 _let_2))) (let ((_let_20 (or _let_11 _let_19))) (let ((_let_21 (_let_7))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 ((not (= (tptp.member X (tptp.complement Xs)) true))))) (let ((_let_24 (tptp.subset tptp.a _let_2))) (let ((_let_25 (not _let_19))) (let ((_let_26 (or _let_25 _let_24))) (let ((_let_27 (_let_8))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 ((not (= (tptp.subset Subset Superset) true))))) (let ((_let_30 (tptp.subset _let_2 tptp.a))) (let ((_let_31 (not _let_30))) (let ((_let_32 (not _let_24))) (let ((_let_33 (or _let_32 _let_31 _let_3))) (let ((_let_34 (_let_5))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (tptp.member_of_1_not_of_2 _let_2 tptp.a))) (let ((_let_37 (tptp.member _let_36 _let_2))) (let ((_let_38 (or _let_30 _let_37))) (let ((_let_39 (tptp.member _let_36 tptp.a))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_30))) (let ((_let_42 (not _let_37))) (let ((_let_43 (tptp.member _let_36 _let_1))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_42))) (let ((_let_46 (or _let_39 _let_43))) (let ((_let_47 (_let_9))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 ((not (= (tptp.subset Subset Superset) true))))) (let ((_let_50 ((not (= (tptp.member X (tptp.complement Xs)) false))))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_3 _let_32 _let_31 (not _let_33)))) (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_39 _let_43 (not _let_46)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_36 tptp.a QUANTIFIERS_INST_E_MATCHING _let_23)) :args _let_21)) _let_22 :args (_let_46 false _let_7)) (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_42 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_36 _let_1 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_16)) _let_17 :args (_let_45 false _let_6)) (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_30 _let_40 (not _let_41)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_2 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_27)) _let_28 :args (_let_41 false _let_8)) (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_30 _let_37 (not _let_38)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_2 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_47)) _let_48 :args (_let_38 false _let_9)) :args (_let_30 false _let_46 true _let_43 false _let_45 true _let_39 false _let_41 false _let_37 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.a _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.equal_sets Set2 Set1) true))))) :args _let_34)) _let_35 :args (_let_33 false _let_5)) :args (_let_32 true _let_3 false _let_30 false _let_33)))) (let ((_let_52 (or _let_24 _let_13))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_10 tptp.a QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_12 _let_18))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_24 _let_13 (not _let_52)))) _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.a _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_47)) _let_48 :args (_let_52 false _let_9)) :args (_let_13 true _let_24 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_11 (not _let_20)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_24 _let_25 (not _let_26)))) _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.a _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_27)) _let_28 :args (_let_26 false _let_8)) :args (_let_25 true _let_24 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_10 _let_1 QUANTIFIERS_INST_E_MATCHING _let_23)) :args _let_21)) _let_22 :args (_let_20 false _let_7)) :args (_let_11 true _let_19 false _let_20)) :args (_let_18 false _let_13 false _let_11)) _let_17 :args (false true _let_15 false _let_6)) :args ((forall ((X $$unsorted)) (not (tptp.member X tptp.empty_set))) (forall ((Element $$unsorted) (Subset $$unsorted) (Superset $$unsorted)) (or (not (tptp.member Element Subset)) (not (tptp.subset Subset Superset)) (tptp.member Element Superset))) _let_9 _let_8 _let_7 _let_6 (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)))) (forall ((X $$unsorted) (Xs $$unsorted) (Ys $$unsorted)) (or (not (tptp.member X (tptp.union Xs Ys))) (tptp.member X Xs) (tptp.member X Ys))) (forall ((X $$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))) _let_5 (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_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.56  )
% 0.22/0.56  % SZS output end Proof for SET012-1
% 0.22/0.56  % cvc5---1.0.5 exiting
% 0.22/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------