TSTP Solution File: SEU159+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU159+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 16:29:40 EDT 2023
% Result : Theorem 10.41s 10.70s
% Output : Proof 10.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU159+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 23 13:34:43 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 10.41/10.70 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.nOAtKf9W8f/cvc5---1.0.5_10528.p...
% 10.41/10.70 ------- get file name : TPTP file name is SEU159+3
% 10.41/10.70 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_10528.smt2...
% 10.41/10.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.41/10.70 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.41/10.70 % SZS status Theorem for SEU159+3
% 10.41/10.70 % SZS output start Proof for SEU159+3
% 10.41/10.70 (
% 10.41/10.70 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.subset (tptp.unordered_pair A B) C) (and (tptp.in A C) (tptp.in B C)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.unordered_pair A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (= D A) (= D B)))))))) (let ((_let_5 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_6 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_8 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_9 (and _let_8 _let_5))) (let ((_let_10 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_11 (tptp.subset _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_12 (= _let_11 _let_9))) (let ((_let_13 (not _let_12))) (let ((_let_14 (_let_2))) (let ((_let_15 (ASSUME :args _let_14))) (let ((_let_16 (or))) (let ((_let_17 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_15) :args _let_14)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_13)) :args _let_16)) _let_15 :args (_let_13 true _let_1)))) (let ((_let_18 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_19 (= _let_11 _let_18))) (let ((_let_20 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_10))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_8))) (let ((_let_23 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_10))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_5))) (let ((_let_26 (not _let_11))) (let ((_let_27 (_let_12))) (let ((_let_28 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_ENUM)) :args (_let_28))) _let_29 :args (_let_19 false _let_28)))) (let ((_let_31 (not _let_19))) (let ((_let_32 (_let_19))) (let ((_let_33 (_let_18))) (let ((_let_34 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_35 (ASSUME :args _let_33))) (let ((_let_36 (forall ((D $$unsorted)) (= (or (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.in D (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_37 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.unordered_pair A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (= A D) (= B D)))))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_10 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_37)))) _let_38 :args (_let_36 false _let_37)))) (let ((_let_40 (_let_36))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_33)) (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_5 _let_24 (not _let_25)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_40))) _let_39 :args (_let_23 false _let_36)) (CNF_AND_NEG :args (_let_9)) (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_8 _let_21 (not _let_22)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_41 :args _let_34) :args _let_40))) _let_39 :args (_let_20 false _let_36)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args _let_34) :args _let_33)) (REORDERING (CNF_EQUIV_POS1 :args _let_32) :args ((or _let_26 _let_18 _let_31))) _let_30 (CNF_EQUIV_NEG2 :args _let_27) _let_17 :args (_let_26 true _let_25 false _let_23 true _let_5 false _let_8 false _let_20 false _let_22 false _let_18 false _let_19 true _let_9 true _let_12)))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_27) :args ((or _let_11 _let_9 _let_12))) _let_42 _let_17 :args (_let_9 true _let_11 true _let_12)))) (let ((_let_44 (not _let_9))) (let ((_let_45 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 _let_10))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_6))) (let ((_let_48 (not _let_6))) (let ((_let_49 (not _let_47))) (let ((_let_50 (not _let_18))) (let ((_let_51 (_let_50))) (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_50) _let_18))) (REFL :args (_let_49)) :args _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_32) :args ((or _let_11 _let_50 _let_31))) _let_42 _let_30 :args (_let_50 true _let_11 false _let_19)) :args (_let_49 true _let_18)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_47 1)) _let_52 :args (_let_48 true _let_47)))) (let ((_let_54 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_55 (or _let_54 _let_7))) (let ((_let_56 (= _let_45 _let_55))) (let ((_let_57 (not _let_54))) (let ((_let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_6))))) (let ((_let_59 (ASSUME :args (_let_8)))) (let ((_let_60 (APPLY_UF tptp.in))) (let ((_let_61 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_62 (ASSUME :args (_let_54)))) (let ((_let_63 (ASSUME :args (_let_48)))) (let ((_let_64 (FALSE_INTRO _let_63))) (let ((_let_65 (ASSUME :args (_let_7)))) (let ((_let_66 (ASSUME :args (_let_5)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_63 _let_65 _let_66) :args (_let_5 _let_48 _let_7)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_66)) (CONG (SYMM (SYMM _let_65)) _let_61 :args _let_60) _let_64)) :args (_let_48 _let_7 _let_5)) :args ((not (and _let_5 _let_48 _let_7)) SB_LITERAL))) (CONG (REFL :args ((not _let_5))) _let_58 (REFL :args ((not _let_7))) :args _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_54 _let_7 (not _let_55)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_59 _let_62 _let_63) :args (_let_8 _let_48 _let_54)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_64) (CONG (SYMM _let_62) _let_61 :args _let_60) (TRUE_INTRO _let_59))) :args (_let_8 _let_54 _let_48)) :args ((not (and _let_8 _let_48 _let_54)) SB_LITERAL))) (CONG (REFL :args ((not _let_8))) _let_58 (REFL :args (_let_57)) :args _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 0)) :args ((or _let_8 _let_44))) _let_43 :args (_let_8 false _let_9)) _let_53 :args (_let_57 false _let_8 true _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_56)) :args ((or _let_46 _let_55 (not _let_56)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 0)) (CONG (REFL :args (_let_47)) (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_16)) :args ((or _let_45 _let_47))) _let_52 :args (_let_45 true _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_CBQI_PROP)) :args _let_40))) _let_39 :args (_let_56 false _let_36)) :args (_let_55 false _let_45 false _let_56)) :args (_let_7 true _let_54 false _let_55)) _let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 1)) :args ((or _let_5 _let_44))) _let_43 :args (_let_5 false _let_9)) :args (false false _let_7 true _let_6 false _let_5)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) _let_4 _let_3 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.41/10.71 )
% 10.41/10.71 % SZS output end Proof for SEU159+3
% 10.41/10.71 % cvc5---1.0.5 exiting
% 10.41/10.71 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------