TSTP Solution File: SEU126+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU126+1 : TPTP v8.1.2. Released v3.3.0.
% 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 16:29:23 EDT 2023
% Result : Theorem 10.41s 11.00s
% Output : Proof 10.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU126+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n001.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 19:45:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 10.41/11.00 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.IckjuXu23U/cvc5---1.0.5_16202.p...
% 10.41/11.00 ------- get file name : TPTP file name is SEU126+1
% 10.41/11.00 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16202.smt2...
% 10.41/11.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.41/11.00 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.41/11.00 % SZS status Theorem for SEU126+1
% 10.41/11.00 % SZS output start Proof for SEU126+1
% 10.41/11.00 (
% 10.41/11.00 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.subset A B) (= (tptp.set_union2 A B) B)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_union2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (tptp.in D A) (tptp.in D B)))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.subset A B) (tptp.subset B A)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))))) (let ((_let_6 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 _let_6))) (let ((_let_8 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (or _let_9 _let_8))) (let ((_let_11 (= _let_7 _let_10))) (let ((_let_12 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_13 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 _let_12))) (let ((_let_14 (= _let_12 _let_6))) (let ((_let_15 (not _let_13))) (let ((_let_16 (or _let_15 _let_9))) (let ((_let_17 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (tptp.subset _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_20 (= _let_19 _let_17))) (let ((_let_21 (not _let_17))) (let ((_let_22 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (_let_22))) (let ((_let_25 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_12))) (let ((_let_26 (and _let_25 _let_19))) (let ((_let_27 (forall ((C $$unsorted)) (or (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.in C (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_28 (= _let_25 _let_27))) (let ((_let_29 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_12 QUANTIFIERS_INST_ENUM))) (let ((_let_30 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 _let_12))) (let ((_let_31 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30))) (let ((_let_34 (or _let_31 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_35 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 _let_6))) (let ((_let_36 (= _let_34 _let_35))) (let ((_let_37 (or))) (let ((_let_38 (forall ((D $$unsorted)) (= (or (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.in D (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_39 (_let_3))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_6 QUANTIFIERS_INST_CBQI_PROP)) :args _let_39))) _let_40 :args (_let_38 false _let_3)))) (let ((_let_42 (_let_38))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (_let_5))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args _let_46) :args _let_44)) _let_45 :args (_let_14 false _let_5)))) (let ((_let_48 (not _let_30))) (let ((_let_49 (and _let_14 _let_48))) (let ((_let_50 (ASSUME :args (_let_48)))) (let ((_let_51 (APPLY_UF tptp.in))) (let ((_let_52 (ASSUME :args (_let_14)))) (let ((_let_53 (SYMM _let_52))) (let ((_let_54 (not _let_27))) (let ((_let_55 (_let_54))) (let ((_let_56 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_12))) (let ((_let_57 (= _let_56 _let_26))) (let ((_let_58 (not _let_26))) (let ((_let_59 (_let_4))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_56))) (let ((_let_64 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.subset A B)) (= B (tptp.set_union2 A B)))))) (let ((_let_65 (not _let_63))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (not _let_64))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_66) :args (_let_67))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_64))) (REFL :args (_let_65)) :args _let_37)) _let_66 :args (_let_65 true _let_64)))) (let ((_let_69 (_let_21))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_69)) :args _let_69)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_17))) (REFL :args (_let_18)) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_20)) :args ((or _let_19 _let_21 (not _let_20)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_57)) :args ((or _let_56 _let_58 (not _let_57)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_63 1)) _let_68 :args ((not _let_56) true _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args _let_29) :args _let_59)) _let_60 :args (_let_57 false _let_4)) :args (_let_58 true _let_56 false _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_28)) :args ((or _let_25 _let_54 (not _let_28)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_55)) :args _let_55)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_27))) (REFL :args ((not _let_33))) :args _let_37)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_49)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_50 _let_52) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44)) _let_53 :args _let_51) (FALSE_INTRO _let_50))) :args (_let_48 _let_14))) :args (_let_14 _let_48))) :args (true _let_49)) (CONG (REFL :args ((not _let_14))) (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_30))) (REFL :args ((not _let_35))) :args _let_37)) _let_47 (REORDERING (CNF_EQUIV_POS1 :args (_let_36)) :args ((or _let_35 (not _let_34) (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_42)) _let_41 :args (_let_36 false _let_38)) (REORDERING (CNF_OR_NEG :args (_let_34 0)) :args ((or _let_32 _let_34))) (CNF_OR_NEG :args (_let_33 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 0)) (CONG (REFL :args (_let_33)) (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_37)) :args ((or _let_31 _let_33))) :args (_let_33 false _let_14 false _let_35 false _let_36 false _let_34 true _let_30 false _let_31)) :args (_let_27 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args _let_29) :args _let_24)) _let_23 :args (_let_28 false _let_22)) :args (_let_25 false _let_27 false _let_28)) :args ((not _let_19) true _let_26 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_24)) _let_23 :args (_let_20 false _let_22)) :args (_let_21 true _let_19 false _let_20)) :args (_let_18 true _let_17)))) (let ((_let_71 (and _let_14 _let_13))) (let ((_let_72 (ASSUME :args (_let_13)))) (let ((_let_73 (not _let_10))) (let ((_let_74 (not _let_8))) (let ((_let_75 (or _let_74 _let_9))) (let ((_let_76 (forall ((C $$unsorted)) (or (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_77 (= _let_61 _let_76))) (let ((_let_78 (_let_76))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_16 1)) _let_70 :args ((not _let_9) true _let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_11)) :args ((or (not _let_7) _let_10 (not _let_11)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_42))) _let_41 :args (_let_11 false _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_9 _let_8 _let_73))) _let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_9 _let_74 (not _let_75)))) _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_78) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 QUANTIFIERS_INST_ENUM)) :args _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_77)) :args ((or _let_62 _let_76 (not _let_77)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 0)) (CONG (REFL :args (_let_63)) (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))) :args _let_37)) :args ((or _let_61 _let_63))) _let_68 :args (_let_61 true _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args _let_46) :args _let_24)) _let_23 :args (_let_77 false _let_22)) :args (_let_76 false _let_61 false _let_77)) :args (_let_75 false _let_76)) :args (_let_74 true _let_9 false _let_75)) :args (_let_73 true _let_9 true _let_8)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_71)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_72 _let_52) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50)) _let_53 :args _let_51) (TRUE_INTRO _let_72))) :args (_let_13 _let_14))) :args (_let_14 _let_13))) :args (true _let_71)) _let_47 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 0)) (CONG (REFL :args (_let_16)) (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_13))) :args _let_37)) :args ((or _let_13 _let_16))) _let_70 :args (_let_13 true _let_16)) :args (_let_7 false _let_14 false _let_13)) :args (false false _let_11 true _let_10 false _let_7)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_5 _let_4 _let_3 _let_2 true true (tptp.empty tptp.empty_set) (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))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A A) A)) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_1 (forall ((A $$unsorted)) (= (tptp.set_union2 A tptp.empty_set) A)) (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.41/11.00 )
% 10.41/11.00 % SZS output end Proof for SEU126+1
% 10.41/11.00 % cvc5---1.0.5 exiting
% 10.41/11.01 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------