TSTP Solution File: SET942+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET942+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 14:41:07 EDT 2023
% Result : Theorem 26.16s 26.45s
% Output : Proof 26.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET942+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.20/0.36 % Computer : n014.cluster.edu
% 0.20/0.36 % Model : x86_64 x86_64
% 0.20/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.36 % Memory : 8042.1875MB
% 0.20/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.36 % CPULimit : 300
% 0.20/0.36 % WCLimit : 300
% 0.20/0.36 % DateTime : Sat Aug 26 13:42:32 EDT 2023
% 0.20/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 26.16/26.45 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.2adYUh6Wkr/cvc5---1.0.5_31473.p...
% 26.16/26.45 ------- get file name : TPTP file name is SET942+1
% 26.16/26.45 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31473.smt2...
% 26.16/26.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.16/26.45 --- Run --no-e-matching --full-saturate-quant at 5...
% 26.16/26.45 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.16/26.45 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.16/26.45 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.16/26.45 % SZS status Theorem for SET942+1
% 26.16/26.45 % SZS output start Proof for SET942+1
% 26.16/26.45 (
% 26.16/26.45 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.subset A B) (tptp.subset (tptp.union A) (tptp.union B))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.union A)) (forall ((C $$unsorted)) (= (tptp.in C B) (exists ((D $$unsorted)) (and (tptp.in C D) (tptp.in D A))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_4 (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (or (not (tptp.in C D)) (not (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (tptp.in C (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_5 (forall ((D $$unsorted)) (or (not (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 D)) (not (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_7))) (let ((_let_9 (= _let_8 _let_6))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.union A)) (forall ((C $$unsorted)) (= (tptp.in C B) (not (forall ((D $$unsorted)) (or (not (tptp.in C D)) (not (tptp.in D A))))))))))) (let ((_let_11 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (_let_10))) (let ((_let_13 (not _let_9))) (let ((_let_14 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15))) (let ((_let_19 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_17 _let_20))) (let ((_let_22 (or _let_15 _let_19))) (let ((_let_23 (or))) (let ((_let_24 (REFL :args (_let_18)))) (let ((_let_25 (forall ((D $$unsorted)) (or (not (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 D)) (not (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_28 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_27))) (let ((_let_29 (= _let_28 _let_26))) (let ((_let_30 (forall ((C $$unsorted)) (= (tptp.in C (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (forall ((D $$unsorted)) (or (not (tptp.in C D)) (not (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))))))) (let ((_let_31 (_let_30))) (let ((_let_32 (not _let_8))) (let ((_let_33 (or _let_32 _let_28))) (let ((_let_34 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (tptp.in C (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_35 (not _let_33))) (let ((_let_36 (tptp.subset _let_7 _let_27))) (let ((_let_37 (= _let_36 _let_34))) (let ((_let_38 (not _let_34))) (let ((_let_39 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (_let_39))) (let ((_let_42 ((tptp.subset A B)))) (let ((_let_43 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_36))) (let ((_let_46 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.subset A B)) (tptp.subset (tptp.union A) (tptp.union B)))))) (let ((_let_47 (not _let_45))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (not _let_46))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_48) :args (_let_49))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_46))) (REFL :args (_let_47)) :args _let_23)) _let_48 :args (_let_47 true _let_46)))) (let ((_let_51 (_let_38))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_51)) :args _let_51)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_34))) (REFL :args (_let_35)) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_37)) :args ((or _let_36 _let_38 (not _let_37)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_45 1)) _let_50 :args ((not _let_36) true _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_7 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_41)) _let_40 :args (_let_37 false _let_39)) :args (_let_38 true _let_36 false _let_37)) :args (_let_35 true _let_34)))) (let ((_let_53 (not _let_29))) (let ((_let_54 (_let_25))) (let ((_let_55 (forall ((C $$unsorted)) (or (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_56 (= _let_43 _let_55))) (let ((_let_57 (_let_55))) (let ((_let_58 (_let_6))) (let ((_let_59 (_let_4))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_59) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in C _let_7)))) :args _let_59))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_9)) :args ((or _let_32 _let_6 _let_13))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 0)) (CONG (REFL :args (_let_33)) (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_8))) :args _let_23)) :args ((or _let_8 _let_33))) _let_52 :args (_let_8 true _let_33)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_58)) :args _let_58)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) (REFL :args ((not _let_18))) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_15 _let_19 (not _let_22)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_57) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) false))))) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_56)) :args ((or _let_44 _let_55 (not _let_56)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 0)) (CONG (REFL :args (_let_45)) (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_23)) :args ((or _let_43 _let_45))) _let_50 :args (_let_43 true _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_41)) _let_40 :args (_let_56 false _let_39)) :args (_let_55 false _let_43 false _let_56)) :args (_let_22 false _let_55)) (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_17 _let_20 (not _let_21)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_54) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_29)) (CONG (REFL :args (_let_53)) (REFL :args (_let_28)) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_23)) :args ((or _let_28 _let_25 _let_53))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_33 1)) _let_52 :args ((not _let_28) true _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_31) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_11 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_27 QUANTIFIERS_INST_CBQI_PROP)) :args _let_12))) _let_11 :args (_let_30 false _let_10)) :args (_let_29 false _let_30)) :args (_let_25 true _let_28 false _let_29)) :args (_let_21 false _let_25)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 1)) (CONG _let_24 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_23)) :args ((or _let_14 _let_18))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 0)) (CONG _let_24 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_23)) :args ((or _let_16 _let_18))) :args (_let_18 false _let_22 true _let_19 false _let_21 false _let_14 false _let_16)) :args (_let_5 false _let_18)) :args (_let_13 false _let_8 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_11 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_12))) _let_11 :args (_let_4 false _let_10)) :args (false true _let_9 false _let_4)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_3 _let_2 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.16/26.45 )
% 26.16/26.45 % SZS output end Proof for SET942+1
% 26.16/26.45 % cvc5---1.0.5 exiting
% 26.16/26.46 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------