%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET959+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.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 14:41:10 EDT 2023

% Result   : Theorem 0.20s 0.61s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET959+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat Aug 26 13:12:32 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.61  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.PNyDGNKuHy/cvc5---1.0.5_518.p...
% 0.20/0.61  ------- get file name : TPTP file name is SET959+1
% 0.20/0.61  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_518.smt2...
% 0.20/0.61  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.61  % SZS status Theorem for SET959+1
% 0.20/0.61  % SZS output start Proof for SET959+1
% 0.20/0.61  (
% 0.20/0.61  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (= (tptp.in C A) (tptp.in C B))) (= A B))))) (let ((_let_2 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (and (forall ((C $$unsorted)) (not (and (tptp.in C A) (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.ordered_pair D E))))))) (forall ((C $$unsorted)) (not (and (tptp.in C B) (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.ordered_pair D E))))))) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.ordered_pair C D))) (= (tptp.in _let_1 A) (tptp.in _let_1 B))))) (= A B)))))) (let ((_let_3 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_4 (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37))) (let ((_let_5 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 _let_4))) (let ((_let_6 (tptp.in _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (= _let_7 _let_3))) (let ((_let_9 (forall ((D $$unsorted) (E $$unsorted)) (not (= (tptp.ordered_pair D E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))))) (let ((_let_10 (not _let_9))) (let ((_let_11 (not _let_7))) (let ((_let_12 (or _let_11 _let_10))) (let ((_let_13 (tptp.in _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_14 (= _let_6 _let_13))) (let ((_let_15 (forall ((C $$unsorted)) (= (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_16 (not _let_8))) (let ((_let_17 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_18 (not _let_15))) (let ((_let_19 (or _let_18 _let_17))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted)) (or (not (forall ((C $$unsorted)) (= (tptp.in C A) (tptp.in C B)))) (= A B))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.ordered_pair C D))) (= (tptp.in _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.in _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_23 (not _let_22))) (let ((_let_24 (forall ((C $$unsorted)) (or (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.ordered_pair D E))))))))) (let ((_let_25 (not _let_24))) (let ((_let_26 (forall ((C $$unsorted)) (or (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.ordered_pair D E))))))))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_25 _let_23 _let_17))) (let ((_let_29 (forall ((A $$unsorted) (B $$unsorted)) (or (not (forall ((C $$unsorted)) (or (not (tptp.in C A)) (not (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.ordered_pair D E)))))))) (not (forall ((C $$unsorted)) (or (not (tptp.in C B)) (not (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.ordered_pair D E)))))))) (not (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.ordered_pair C D))) (= (tptp.in _let_1 A) (tptp.in _let_1 B))))) (= A B))))) (let ((_let_30 (not _let_28))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (or))) (let ((_let_33 (not _let_29))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_31) :args (_let_33))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_29))) (REFL :args (_let_30)) :args _let_32)) _let_31 :args (_let_30 true _let_29)))) (let ((_let_35 (_let_18))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_35)) :args _let_35)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_15))) (REFL :args (_let_16)) :args _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_17 _let_18 (not _let_19)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_28 3)) _let_34 :args ((not _let_17) true _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args (_let_20)))) _let_21 :args (_let_19 false _let_20)) :args (_let_18 true _let_17 false _let_19)) :args (_let_16 true _let_15)))) (let ((_let_37 (_let_8))) (let ((_let_38 (REFL :args (_let_28)))) (let ((_let_39 (_let_24))) (let ((_let_40 (_let_5))) (let ((_let_41 (_let_10))) (let ((_let_42 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_41)) :args _let_41) (REWRITE :args ((=> _let_10 (not (not (= _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) (REFL :args _let_40) :args _let_32)))) (let ((_let_43 (not _let_6))) (let ((_let_44 (REFL :args ((not _let_5))))) (let ((_let_45 (not _let_3))) (let ((_let_46 (and _let_45 _let_5))) (let ((_let_47 (_let_45 _let_5))) (let ((_let_48 (ASSUME :args (_let_45)))) (let ((_let_49 (APPLY_UF tptp.in))) (let ((_let_50 (ASSUME :args _let_40))) (let ((_let_51 (SYMM _let_50))) (let ((_let_52 (CONG _let_51 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) :args _let_49))) (let ((_let_53 (and _let_7 _let_5))) (let ((_let_54 (_let_7 _let_5))) (let ((_let_55 (ASSUME :args (_let_7)))) (let ((_let_56 (CONG _let_51 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) :args _let_49))) (let ((_let_57 (_let_22))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_57) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ordered_pair C D)))) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 2)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_32)) :args ((or _let_22 _let_28))) _let_34 :args (_let_22 true _let_28)) :args (_let_14 false _let_22)))) (let ((_let_59 (not _let_14))) (let ((_let_60 (not _let_13))) (let ((_let_61 (_let_14))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_61) :args ((or _let_6 _let_60 _let_59))) _let_58 (RESOLUTION (CNF_AND_NEG :args (_let_53)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_55 _let_50) (SCOPE (TRUE_ELIM (TRANS _let_56 (TRUE_INTRO _let_55))) :args _let_54)) :args _let_54)) :args (true _let_53)) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_46)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_48 _let_50) (SCOPE (FALSE_ELIM (TRANS _let_52 (FALSE_INTRO _let_48))) :args _let_47)) :args _let_47)) :args (true _let_46)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_3))) _let_44 (REFL :args (_let_43)) :args _let_32)) _let_42 (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_11 _let_10 (not _let_12)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_39) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) false))))) :args _let_39))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 1)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_32)) :args ((or _let_24 _let_28))) _let_34 :args (_let_24 true _let_28)) :args (_let_12 false _let_24)) (REORDERING (CNF_EQUIV_NEG1 :args _let_37) :args ((or _let_7 _let_3 _let_8))) _let_36 :args (_let_3 false _let_14 false _let_13 true _let_6 false _let_5 true _let_9 false _let_12 false _let_7 true _let_8)))) (let ((_let_63 (forall ((D $$unsorted) (E $$unsorted)) (not (= (tptp.ordered_pair D E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_45 _let_64))) (let ((_let_66 (_let_26))) (let ((_let_67 (MACRO_RESOLUTION_TRUST _let_42 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_9 (= D D) (= E E)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_45 _let_64 (not _let_65)))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_66) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) false))))) :args _let_66))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 0)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_32)) :args ((or _let_26 _let_28))) _let_34 :args (_let_26 true _let_28)) :args (_let_65 false _let_26)) :args (_let_64 false _let_3 false _let_65)) :args (_let_10 true _let_63)) :args (_let_5 true _let_9)))) (let ((_let_68 (and _let_3 _let_5))) (let ((_let_69 (_let_3 _let_5))) (let ((_let_70 (ASSUME :args (_let_3)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_68)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_70 _let_50) (SCOPE (TRUE_ELIM (TRANS _let_52 (TRUE_INTRO _let_70))) :args _let_69)) :args _let_69)) :args (true _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_61) :args ((or _let_13 _let_43 _let_59))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (ASSUME :args (_let_13)))) _let_56 (FALSE_INTRO (ASSUME :args (_let_11))))) :args (_let_11 _let_5 _let_13))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_7))) _let_44 (REFL :args (_let_60)) :args _let_32)) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_37) _let_36 _let_62 :args (_let_11 true _let_8 false _let_3)) _let_67 :args (_let_60 true _let_7 false _let_5)) _let_58 :args (_let_43 true _let_13 false _let_14)) _let_67 _let_62 :args (false true _let_6 false _let_5 false _let_3)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.ordered_pair A B)))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.61  )
% 0.20/0.61  % SZS output end Proof for SET959+1
% 0.20/0.61  % cvc5---1.0.5 exiting
% 0.20/0.62  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------