TSTP Solution File: SET002-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET002-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 14:36:35 EDT 2023
% Result : Unsatisfiable 0.22s 0.53s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n001.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 17:03:01 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.cZlMo91L7B/cvc5---1.0.5_7562.p...
% 0.22/0.51 ------- get file name : TPTP file name is SET002-1
% 0.22/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7562.smt2...
% 0.22/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.53 % SZS status Unsatisfiable for SET002-1
% 0.22/0.53 % SZS output start Proof for SET002-1
% 0.22/0.54 (
% 0.22/0.54 (let ((_let_1 (tptp.equal_sets tptp.aUa tptp.a))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.union tptp.a tptp.a tptp.aUa))) (let ((_let_4 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Union $$unsorted) (Element $$unsorted)) (or (not (tptp.union Set1 Set2 Union)) (not (tptp.member Element Set1)) (tptp.member Element Union))))) (let ((_let_5 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Union $$unsorted) (Element $$unsorted)) (or (not (tptp.union Set1 Set2 Union)) (not (tptp.member Element Union)) (tptp.member Element Set1) (tptp.member Element Set2))))) (let ((_let_6 (forall ((Set1 $$unsorted) (Set2 $$unsorted)) (or (not (tptp.subset Set1 Set2)) (not (tptp.subset Set2 Set1)) (tptp.equal_sets Set2 Set1))))) (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 (tptp.member_of_1_not_of_2 tptp.a tptp.aUa))) (let ((_let_10 (tptp.member _let_9 tptp.aUa))) (let ((_let_11 (tptp.member _let_9 tptp.a))) (let ((_let_12 (not _let_11))) (let ((_let_13 (not _let_3))) (let ((_let_14 (or _let_13 _let_12 _let_10))) (let ((_let_15 (_let_4))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 (not _let_14))) (let ((_let_18 (tptp.subset tptp.a tptp.aUa))) (let ((_let_19 (or _let_18 _let_11))) (let ((_let_20 (_let_8))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 ((not (= (tptp.subset Subset Superset) true))))) (let ((_let_23 (tptp.subset tptp.aUa tptp.a))) (let ((_let_24 (not _let_23))) (let ((_let_25 (not _let_18))) (let ((_let_26 (or _let_25 _let_24 _let_1))) (let ((_let_27 (_let_6))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (tptp.member_of_1_not_of_2 tptp.aUa tptp.a))) (let ((_let_30 (tptp.member _let_29 tptp.aUa))) (let ((_let_31 (or _let_23 _let_30))) (let ((_let_32 (tptp.member _let_29 tptp.a))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_23))) (let ((_let_35 (not _let_30))) (let ((_let_36 (or _let_13 _let_35 _let_32 _let_32))) (let ((_let_37 (_let_7))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 ((not (= (tptp.subset Subset Superset) true))))) (let ((_let_40 (ASSUME :args (_let_3)))) (let ((_let_41 (_let_5))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_1 _let_25 _let_24 (not _let_26)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_36))) :args ((or _let_13 _let_32 _let_35 (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a tptp.a tptp.aUa _let_29 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.union Set1 Set2 Union) false)) (not (= (tptp.member Element Union) false))))) :args _let_41)) _let_42 :args (_let_36 false _let_5)) _let_40 (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_23 _let_33 (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.aUa tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_37)) _let_38 :args (_let_34 false _let_7)) (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_23 _let_30 (not _let_31)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.aUa tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_22)) :args _let_20)) _let_21 :args (_let_31 false _let_8)) :args (_let_23 false _let_36 false _let_3 true _let_32 false _let_34 false _let_30 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.a tptp.aUa QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.equal_sets Set2 Set1) true))))) :args _let_27)) _let_28 :args (_let_26 false _let_6)) :args (_let_25 true _let_1 false _let_23 false _let_26)))) (let ((_let_44 (not _let_10))) (let ((_let_45 (or _let_44 _let_18))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.a tptp.a tptp.aUa _let_9 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.union Set1 Set2 Union) false)) (not (= (tptp.member Element Union) true))))) :args _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_13 _let_10 _let_12 _let_17))) _let_40 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_18 _let_44 (not _let_45)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.a tptp.aUa QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_37)) _let_38 :args (_let_45 false _let_7)) :args (_let_44 true _let_18 false _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_11 (not _let_19)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.a tptp.aUa QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_22)) :args _let_20)) _let_21 :args (_let_19 false _let_8)) :args (_let_11 true _let_18 false _let_19)) :args (_let_17 false _let_3 true _let_10 false _let_11)) _let_16 :args (false true _let_14 false _let_4)) :args ((forall ((Element $$unsorted) (Subset $$unsorted) (Superset $$unsorted)) (or (not (tptp.member Element Subset)) (not (tptp.subset Subset Superset)) (tptp.member Element Superset))) _let_8 _let_7 (forall ((Subset $$unsorted) (Superset $$unsorted)) (or (not (tptp.equal_sets Subset Superset)) (tptp.subset Subset Superset))) (forall ((Superset $$unsorted) (Subset $$unsorted)) (or (not (tptp.equal_sets Superset Subset)) (tptp.subset Subset Superset))) _let_6 _let_5 _let_4 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Union $$unsorted) (Element $$unsorted)) (or (not (tptp.union Set1 Set2 Union)) (not (tptp.member Element Set2)) (tptp.member Element Union))) (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Union $$unsorted)) (let ((_let_1 (tptp.g Set1 Set2 Union))) (or (tptp.union Set1 Set2 Union) (tptp.member _let_1 Set1) (tptp.member _let_1 Set2) (tptp.member _let_1 Union)))) (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Union $$unsorted)) (let ((_let_1 (tptp.g Set1 Set2 Union))) (or (not (tptp.member _let_1 Set1)) (not (tptp.member _let_1 Union)) (tptp.union Set1 Set2 Union)))) (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Union $$unsorted)) (let ((_let_1 (tptp.g Set1 Set2 Union))) (or (not (tptp.member _let_1 Set2)) (not (tptp.member _let_1 Union)) (tptp.union Set1 Set2 Union)))) _let_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.54 )
% 0.22/0.54 % SZS output end Proof for SET002-1
% 0.22/0.54 % cvc5---1.0.5 exiting
% 0.22/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------