TSTP Solution File: SEU110+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU110+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.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 16:29:18 EDT 2023
% Result : Theorem 0.81s 1.01s
% Output : Proof 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU110+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.18/0.34 % Computer : n027.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.35 % DateTime : Wed Aug 23 18:57:31 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.19/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.81/1.01 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.wBBPvuR5nE/cvc5---1.0.5_30563.p...
% 0.81/1.01 ------- get file name : TPTP file name is SEU110+1
% 0.81/1.01 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30563.smt2...
% 0.81/1.01 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.81/1.01 % SZS status Theorem for SEU110+1
% 0.81/1.01 % SZS output start Proof for SEU110+1
% 0.81/1.01 (
% 0.81/1.01 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.subset A B) (tptp.subset (tptp.finite_subsets A) (tptp.finite_subsets B))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.subset A B) (tptp.subset B C)) (tptp.subset A C))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))))) (let ((_let_4 (forall ((A $$unsorted)) (tptp.preboolean (tptp.finite_subsets A))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.preboolean B) (= (= B (tptp.finite_subsets A)) (forall ((C $$unsorted)) (= (tptp.in C B) (and (tptp.subset C A) (tptp.finite C))))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element B (tptp.finite_subsets A)) (tptp.finite B))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.subset A B)) (not (tptp.subset B C)) (tptp.subset A C))))) (let ((_let_9 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_10 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11 _let_9))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (not _let_14))) (let ((_let_17 (tptp.finite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_18 (and _let_12 _let_17))) (let ((_let_19 (tptp.finite_subsets SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_20 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_19))) (let ((_let_21 (= _let_20 _let_18))) (let ((_let_22 (forall ((C $$unsorted)) (= (and (tptp.subset C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.finite C)) (tptp.in C (tptp.finite_subsets SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))) (let ((_let_23 (tptp.preboolean _let_19))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_22))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.preboolean B)) (= (= B (tptp.finite_subsets A)) (forall ((C $$unsorted)) (= (tptp.in C B) (and (tptp.subset C A) (tptp.finite C))))))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (_let_26))) (let ((_let_29 ((not (= (tptp.preboolean B) false)) (tptp.finite_subsets A)))) (let ((_let_30 (_let_4))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 ((tptp.finite_subsets A)))) (let ((_let_33 (_let_22))) (let ((_let_34 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.finite C))))) (let ((_let_35 (tptp.finite_subsets SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_36 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_35))) (let ((_let_37 (not _let_20))) (let ((_let_38 (or _let_37 _let_36))) (let ((_let_39 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.finite_subsets SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (tptp.in C (tptp.finite_subsets SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))) (let ((_let_40 (not _let_38))) (let ((_let_41 (tptp.subset _let_19 _let_35))) (let ((_let_42 (= _let_41 _let_39))) (let ((_let_43 (not _let_39))) (let ((_let_44 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (or _let_11 _let_41))) (let ((_let_47 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.subset A B)) (tptp.subset (tptp.finite_subsets A) (tptp.finite_subsets B)))))) (let ((_let_48 (not _let_46))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (or))) (let ((_let_51 (not _let_47))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_49) :args (_let_51))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_47))) (REFL :args (_let_48)) :args _let_50)) _let_49 :args (_let_48 true _let_47)))) (let ((_let_53 (_let_43))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_53)) :args _let_53)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_39))) (REFL :args (_let_40)) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_42)) :args ((or _let_41 _let_43 (not _let_42)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_46 1)) _let_52 :args ((not _let_41) true _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_19 _let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset A B)))) :args (_let_44))) _let_45 :args (_let_42 false _let_44)) :args (_let_43 true _let_41 false _let_42)) :args (_let_40 true _let_39)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 0)) (CONG (REFL :args (_let_38)) (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_20))) :args _let_50)) :args ((or _let_20 _let_38))) _let_54 :args (_let_20 true _let_38)))) (let ((_let_56 (and _let_9 _let_17))) (let ((_let_57 (not _let_9))) (let ((_let_58 (= _let_36 _let_56))) (let ((_let_59 (not _let_56))) (let ((_let_60 (forall ((C $$unsorted)) (= (and (tptp.subset C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (tptp.finite C)) (tptp.in C (tptp.finite_subsets SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))) (let ((_let_61 (tptp.preboolean _let_35))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_60))) (let ((_let_64 (_let_60))) (let ((_let_65 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_19))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_17))) (let ((_let_68 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.element B (tptp.finite_subsets A))) (tptp.finite B))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (or _let_37 _let_65))) (let ((_let_71 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.in A B)) (tptp.element A B))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.subset A B) false)) (not (= (tptp.subset A C) true))))) :args (_let_8))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_11 _let_9 _let_13 _let_16))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 0)) (CONG (REFL :args (_let_46)) (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_50)) :args ((or _let_10 _let_46))) _let_52 :args (_let_10 true _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_56)) :args ((or (not _let_17) _let_56 _let_57))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_17 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_37 _let_65 (not _let_70)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in A B) false))))) :args (_let_71))) _let_72 :args (_let_70 false _let_71)) :args (_let_65 false _let_20 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element B (tptp.finite_subsets A)) false))))) :args (_let_68))) _let_69 :args (_let_67 false _let_68)) :args (_let_17 false _let_65 false _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_58)) :args ((or _let_36 _let_59 (not _let_58)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 1)) _let_54 :args ((not _let_36) true _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_64) :args _let_34) :args _let_64))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_62 _let_60 (not _let_63)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_30)) _let_31 :args (_let_61 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_35 QUANTIFIERS_INST_E_MATCHING _let_29)) :args _let_28))) _let_27 :args (_let_63 false _let_26)) :args (_let_60 false _let_61 false _let_63)) :args (_let_58 false _let_60)) :args (_let_59 true _let_36 false _let_58)) :args (_let_57 false _let_17 true _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_18 0)) :args ((or _let_12 (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_21)) :args ((or _let_37 _let_18 (not _let_21)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_33) :args _let_34) :args _let_33))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_22 (not _let_25)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_30)) _let_31 :args (_let_23 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_19 QUANTIFIERS_INST_E_MATCHING _let_29)) :args _let_28))) _let_27 :args (_let_25 false _let_26)) :args (_let_22 false _let_23 false _let_25)) :args (_let_21 false _let_22)) :args (_let_18 false _let_20 false _let_21)) :args (_let_12 false _let_18)) :args (_let_16 false _let_10 true _let_9 false _let_12)) _let_15 :args (false true _let_14 false _let_8)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.finite A))) (forall ((A $$unsorted)) (=> (tptp.preboolean A) (and (tptp.cup_closed A) (tptp.diff_closed A)))) (forall ((A $$unsorted)) (=> (tptp.finite A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (tptp.finite B))))) (forall ((A $$unsorted)) (=> (and (tptp.cup_closed A) (tptp.diff_closed A)) (tptp.preboolean A))) _let_7 _let_6 _let_5 _let_4 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.powerset A))) (and (not (tptp.empty _let_1)) (tptp.cup_closed _let_1) (tptp.diff_closed _let_1) (tptp.preboolean _let_1)))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) (tptp.empty tptp.empty_set) (forall ((A $$unsorted)) (let ((_let_1 (tptp.finite_subsets A))) (and (not (tptp.empty _let_1)) (tptp.cup_closed _let_1) (tptp.diff_closed _let_1) (tptp.preboolean _let_1)))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.finite A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.cup_closed A) (tptp.cap_closed A) (tptp.diff_closed A) (tptp.preboolean A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)))))) (exists ((A $$unsorted)) (tptp.empty A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B) (tptp.relation B) (tptp.function B) (tptp.one_to_one B) (tptp.epsilon_transitive B) (tptp.epsilon_connected B) (tptp.ordinal B) (tptp.natural B) (tptp.finite B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)) (tptp.finite B))))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)) (tptp.finite B))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_3 _let_2 _let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.81/1.02 )
% 0.81/1.02 % SZS output end Proof for SEU110+1
% 0.81/1.02 % cvc5---1.0.5 exiting
% 0.81/1.02 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------