TSTP Solution File: SET015+4 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET015+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 14:36:46 EDT 2023
% Result : Theorem 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET015+4 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 11:29:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.OaIe4ZWu4K/cvc5---1.0.5_12217.p...
% 0.20/0.52 ------- get file name : TPTP file name is SET015+4
% 0.20/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12217.smt2...
% 0.20/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52 % SZS status Theorem for SET015+4
% 0.20/0.52 % SZS output start Proof for SET015+4
% 0.20/0.52 (
% 0.20/0.52 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (tptp.equal_set (tptp.union A B) (tptp.union B A))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.union A B)) (or (tptp.member X A) (tptp.member X B)))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.equal_set A B) (and (tptp.subset A B) (tptp.subset B A)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (=> (tptp.member X A) (tptp.member X B))))))) (let ((_let_6 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (or _let_7 _let_6))) (let ((_let_9 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_9))) (let ((_let_11 (= _let_10 _let_8))) (let ((_let_12 (_let_3))) (let ((_let_13 (ASSUME :args _let_12))) (let ((_let_14 ((tptp.member X (tptp.union A B))))) (let ((_let_15 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_15))) (let ((_let_17 (not _let_10))) (let ((_let_18 (or _let_17 _let_16))) (let ((_let_19 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (tptp.member X (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_20 (not _let_18))) (let ((_let_21 (tptp.subset _let_9 _let_15))) (let ((_let_22 (= _let_21 _let_19))) (let ((_let_23 (not _let_19))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (or (not (tptp.member X A)) (tptp.member X B))))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (_let_24))) (let ((_let_27 ((tptp.subset A B)))) (let ((_let_28 (tptp.subset _let_15 _let_9))) (let ((_let_29 (and _let_28 _let_21))) (let ((_let_30 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (tptp.member X (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_31 (= _let_28 _let_30))) (let ((_let_32 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_9))) (let ((_let_33 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_15))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32))) (let ((_let_36 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_37 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_38 (or _let_37 _let_36))) (let ((_let_39 (= _let_33 _let_38))) (let ((_let_40 (or _let_36 _let_37))) (let ((_let_41 (= _let_32 _let_40))) (let ((_let_42 (or))) (let ((_let_43 (not _let_30))) (let ((_let_44 (_let_43))) (let ((_let_45 (tptp.equal_set _let_15 _let_9))) (let ((_let_46 (= _let_45 _let_29))) (let ((_let_47 (not _let_29))) (let ((_let_48 (_let_4))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (not _let_45))) (let ((_let_51 (_let_2))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (_let_23))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_53)) :args _let_53)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_19))) (REFL :args (_let_20)) :args _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_22)) :args ((or _let_21 _let_23 (not _let_22)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_46)) :args ((or _let_45 _let_47 (not _let_46)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_52) :args _let_51)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_50)) :args _let_42)) _let_52 :args (_let_50 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_15 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.equal_set A B)))) :args _let_48)) _let_49 :args (_let_46 false _let_4)) :args (_let_47 true _let_45 false _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_31)) :args ((or _let_28 _let_43 (not _let_31)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_44)) :args _let_44)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_30))) (REFL :args ((not _let_35))) :args _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_36 (not _let_38)))) (CNF_OR_NEG :args (_let_40 1)) (CNF_OR_NEG :args (_let_40 0)) (REORDERING (CNF_EQUIV_POS2 :args (_let_41)) :args ((or _let_32 (not _let_40) (not _let_41)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_14)) :args _let_12)) _let_13 :args (_let_41 false _let_3)) (REORDERING (CNF_EQUIV_POS1 :args (_let_39)) :args ((or _let_34 _let_38 (not _let_39)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_14)) :args _let_12)) _let_13 :args (_let_39 false _let_3)) (CNF_OR_NEG :args (_let_35 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG (REFL :args (_let_35)) (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_42)) :args ((or _let_33 _let_35))) :args (_let_35 true _let_37 true _let_36 true _let_40 false _let_41 false _let_38 false _let_39 true _let_32 false _let_33)) :args (_let_30 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_15 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_26)) _let_25 :args (_let_31 false _let_24)) :args (_let_28 false _let_30 false _let_31)) :args ((not _let_21) true _let_29 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_9 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_26)) _let_25 :args (_let_22 false _let_24)) :args (_let_23 true _let_21 false _let_22)) :args (_let_20 true _let_19)))) (let ((_let_55 (or _let_6 _let_7))) (let ((_let_56 (= _let_16 _let_55))) (let ((_let_57 (not _let_55))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_56)) :args ((or _let_16 _let_57 (not _let_56)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 1)) _let_54 :args ((not _let_16) true _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_14)) :args _let_12)) _let_13 :args (_let_56 false _let_3)) :args (_let_57 true _let_16 false _let_56)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_7 _let_6 (not _let_8)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_55 1)) _let_58 :args ((not _let_7) true _let_55)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_55 0)) _let_58 :args ((not _let_6) true _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_11)) :args ((or _let_17 _let_8 (not _let_11)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 0)) (CONG (REFL :args (_let_18)) (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_10))) :args _let_42)) :args ((or _let_10 _let_18))) _let_54 :args (_let_10 true _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_14)) :args _let_12)) _let_13 :args (_let_11 false _let_3)) :args (_let_8 false _let_10 false _let_11)) :args (false true _let_7 true _let_6 false _let_8)) :args (_let_5 _let_4 (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.power_set A)) (tptp.subset X A))) (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.intersection A B)) (and (tptp.member X A) (tptp.member X B)))) _let_3 (forall ((X $$unsorted)) (not (tptp.member X tptp.empty_set))) (forall ((B $$unsorted) (A $$unsorted) (E $$unsorted)) (= (tptp.member B (tptp.difference E A)) (and (tptp.member B E) (not (tptp.member B A))))) (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.singleton A)) (= X A))) (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.unordered_pair A B)) (or (= X A) (= X B)))) (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.sum A)) (exists ((Y $$unsorted)) (and (tptp.member Y A) (tptp.member X Y))))) (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.product A)) (forall ((Y $$unsorted)) (=> (tptp.member Y A) (tptp.member X Y))))) _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.52 )
% 0.20/0.52 % SZS output end Proof for SET015+4
% 0.20/0.52 % cvc5---1.0.5 exiting
% 0.20/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------