TSTP Solution File: NUM386+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM386+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 10:43:37 EDT 2023
% Result : Theorem 24.04s 24.22s
% Output : Proof 24.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM386+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 15:10:15 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 24.04/24.22 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.lfZg0wIHRw/cvc5---1.0.5_23443.p...
% 24.04/24.22 ------- get file name : TPTP file name is NUM386+1
% 24.04/24.22 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_23443.smt2...
% 24.04/24.22 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 24.04/24.22 --- Run --no-e-matching --full-saturate-quant at 5...
% 24.04/24.22 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 24.04/24.22 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 24.04/24.22 % SZS status Theorem for NUM386+1
% 24.04/24.22 % SZS output start Proof for NUM386+1
% 24.04/24.22 (
% 24.04/24.22 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.in A (tptp.succ B)) (or (tptp.in A B) (= A B)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.relation tptp.empty_set))) (let ((_let_4 (tptp.empty tptp.empty_set))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_union2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (tptp.in D A) (tptp.in D B)))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.succ A) (tptp.set_union2 A (tptp.singleton A)))))) (let ((_let_8 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_9 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_8))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (forall ((C $$unsorted)) (= (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13) (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (_let_12))) (let ((_let_16 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_17 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_15) :args _let_16) :args _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 _let_8 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_13)))) _let_14 :args (_let_12 false _let_13)) :args (_let_11 false _let_12)))) (let ((_let_18 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_19 (or _let_18 _let_9))) (let ((_let_20 (not _let_9))) (let ((_let_21 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 _let_8))) (let ((_let_22 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_21))) (let ((_let_23 (= _let_22 _let_19))) (let ((_let_24 (not _let_19))) (let ((_let_25 (forall ((D $$unsorted)) (let ((_let_1 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (= (tptp.in D (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 _let_1)) (or (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13) (tptp.in D _let_1))))))) (let ((_let_26 (_let_5))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (_let_25))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_28) :args _let_16) :args _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 _let_8 _let_21 QUANTIFIERS_INST_CBQI_PROP)) :args _let_26))) _let_27 :args (_let_25 false _let_5)) :args (_let_23 false _let_25)))) (let ((_let_30 (tptp.succ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_31 (= _let_30 _let_21))) (let ((_let_32 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_30))) (let ((_let_33 (not _let_22))) (let ((_let_34 (_let_7))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_34)) _let_35 :args (_let_31 false _let_7)))) (let ((_let_37 (or _let_18 _let_10))) (let ((_let_38 (= _let_32 _let_37))) (let ((_let_39 (not _let_32))) (let ((_let_40 (not _let_38))) (let ((_let_41 (_let_2))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (or))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_42) :args _let_41)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_40)) :args _let_43)) _let_42 :args (_let_40 true _let_1)))) (let ((_let_45 (_let_38))) (let ((_let_46 (not _let_11))) (let ((_let_47 (_let_11))) (let ((_let_48 (not _let_23))) (let ((_let_49 (_let_23))) (let ((_let_50 (and _let_32 _let_31))) (let ((_let_51 (_let_32 _let_31))) (let ((_let_52 (ASSUME :args (_let_32)))) (let ((_let_53 (ASSUME :args (_let_31)))) (let ((_let_54 (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (SYMM _let_53) :args (APPLY_UF tptp.in)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_50)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_52 _let_53) (SCOPE (TRUE_ELIM (TRANS _let_54 (TRUE_INTRO _let_52))) :args _let_51)) :args _let_51)) :args (true _let_50)) _let_36 (REORDERING (CNF_EQUIV_POS1 :args _let_49) :args ((or _let_19 _let_33 _let_48))) _let_29 (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_9 _let_24))) (REORDERING (CNF_EQUIV_POS2 :args _let_47) :args ((or _let_10 _let_20 _let_46))) _let_17 (CNF_OR_NEG :args (_let_37 1)) (CNF_OR_NEG :args (_let_37 0)) (CNF_EQUIV_NEG2 :args _let_45) _let_44 :args (_let_39 false _let_31 true _let_22 false _let_23 true _let_19 true _let_9 false _let_11 true _let_10 true _let_18 true _let_37 true _let_38)))) (let ((_let_56 (and _let_39 _let_31))) (let ((_let_57 (_let_39 _let_31))) (let ((_let_58 (ASSUME :args (_let_39)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_49) :args ((or _let_22 _let_24 _let_48))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_56)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_58 _let_53) (SCOPE (FALSE_ELIM (TRANS _let_54 (FALSE_INTRO _let_58))) :args _let_57)) :args _let_57)) :args (true _let_56)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_32))) (REFL :args ((not _let_31))) (REFL :args (_let_33)) :args _let_43)) _let_55 _let_36 :args (_let_33 true _let_32 false _let_31)) _let_29 :args (_let_24 true _let_22 false _let_23)))) (let ((_let_60 (not _let_18))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_47) :args ((or (not _let_10) _let_9 _let_46))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_18 _let_10 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_19 0)) :args ((or _let_60 _let_19))) _let_59 :args (_let_60 true _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_45) :args ((or _let_32 _let_37 _let_38))) _let_55 _let_44 :args (_let_37 true _let_32 true _let_38)) :args (_let_10 true _let_18 false _let_37)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 1)) _let_59 :args (_let_20 true _let_19)) _let_17 :args (false false _let_10 true _let_9 false _let_11)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one A)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))) _let_7 _let_6 _let_5 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (and _let_4 _let_3 (tptp.relation_empty_yielding tptp.empty_set)) (forall ((A $$unsorted)) (not (tptp.empty (tptp.succ A)))) _let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation A) (tptp.relation B)) (tptp.relation (tptp.set_union2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 B A))))) (and _let_4 _let_3) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A A) A)) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_non_empty A) (tptp.function A))) _let_2 (forall ((A $$unsorted)) (= (tptp.set_union2 A tptp.empty_set) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 24.04/24.23 )
% 24.04/24.23 % SZS output end Proof for NUM386+1
% 24.04/24.23 % cvc5---1.0.5 exiting
% 24.04/24.23 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------