%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET958+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 0.19s 0.49s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SET958+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12  % Command    : do_cvc5 %s %d
% 0.13/0.33  % Computer : n002.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Sat Aug 26 16:21:03 EDT 2023
% 0.13/0.33  % CPUTime    : 
% 0.19/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.oWTLYFsYzP/cvc5---1.0.5_18330.p...
% 0.19/0.49  ------- get file name : TPTP file name is SET958+1
% 0.19/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18330.smt2...
% 0.19/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.49  % SZS status Theorem for SET958+1
% 0.19/0.49  % SZS output start Proof for SET958+1
% 0.19/0.49  (
% 0.19/0.49  (let ((_let_1 (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) (D $$unsorted)) (let ((_let_1 (tptp.ordered_pair C D))) (=> (tptp.in _let_1 A) (tptp.in _let_1 B))))) (tptp.subset A B)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_3 (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.ordered_pair C D))) (or (not (tptp.in _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.in _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_4 (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_5 (tptp.in _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_6 (tptp.in _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (not _let_6))) (let ((_let_8 (or _let_7 _let_5))) (let ((_let_9 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (not _let_3))) (let ((_let_11 (forall ((C $$unsorted)) (or (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.ordered_pair D E))))))))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_10 _let_9))) (let ((_let_14 (forall ((A $$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 $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.ordered_pair C D))) (or (not (tptp.in _let_1 A)) (tptp.in _let_1 B))))) (tptp.subset A B))))) (let ((_let_15 (not _let_13))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (or))) (let ((_let_18 (not _let_14))) (let ((_let_19 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_16) :args (_let_18))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_14))) (REFL :args (_let_15)) :args _let_17)) _let_16 :args (_let_15 true _let_14)))) (let ((_let_20 (REFL :args (_let_13)))) (let ((_let_21 (not _let_8))) (let ((_let_22 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_4))) (let ((_let_23 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_24 (not _let_5))) (let ((_let_25 (forall ((D $$unsorted) (E $$unsorted)) (not (= (tptp.ordered_pair D E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26))) (let ((_let_30 (_let_11))) (let ((_let_31 (or _let_28 _let_23))) (let ((_let_32 (forall ((C $$unsorted)) (or (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_33 (not _let_31))) (let ((_let_34 (= _let_9 _let_32))) (let ((_let_35 (not _let_32))) (let ((_let_36 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (_let_35))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_38)) :args _let_38)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_32))) (REFL :args (_let_33)) :args _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_34)) :args ((or _let_9 _let_35 (not _let_34)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_13 2)) _let_19 :args ((not _let_9) true _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset A B)))) :args (_let_36))) _let_37 :args (_let_34 false _let_36)) :args (_let_35 true _let_9 false _let_34)) :args (_let_33 true _let_32)))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 0)) (CONG (REFL :args (_let_31)) (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_17)) :args ((or _let_27 _let_31))) _let_39 :args (_let_27 true _let_31)))) (let ((_let_41 (_let_22))) (let ((_let_42 (_let_26))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_42)) :args _let_42) (REWRITE :args ((=> _let_26 (not (not (= _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) (REFL :args _let_41) :args _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_26 (not _let_29)))) _let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_30) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) false))))) :args _let_30))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 0)) (CONG _let_20 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_17)) :args ((or _let_11 _let_13))) _let_19 :args (_let_11 true _let_13)) :args (_let_29 false _let_11)) :args (_let_26 false _let_27 false _let_29)) :args (_let_22 true _let_25)))) (let ((_let_44 (not _let_23))) (let ((_let_45 (and _let_44 _let_22))) (let ((_let_46 (_let_44 _let_22))) (let ((_let_47 (ASSUME :args (_let_44)))) (let ((_let_48 (APPLY_UF tptp.in))) (let ((_let_49 (ASSUME :args _let_41))) (let ((_let_50 (SYMM _let_49))) (let ((_let_51 (and _let_27 _let_22))) (let ((_let_52 (_let_27 _let_22))) (let ((_let_53 (ASSUME :args (_let_27)))) (let ((_let_54 (_let_3))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_54) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ordered_pair C D)))) :args _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_7 _let_5 _let_21))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_51)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_53 _let_49) (SCOPE (TRUE_ELIM (TRANS (CONG _let_50 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) :args _let_48) (TRUE_INTRO _let_53))) :args _let_52)) :args _let_52)) :args (true _let_51)) _let_40 _let_43 :args (_let_6 false _let_27 false _let_22)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_45)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_47 _let_49) (SCOPE (FALSE_ELIM (TRANS (CONG _let_50 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) :args _let_48) (FALSE_INTRO _let_47))) :args _let_46)) :args _let_46)) :args (true _let_45)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_23))) (REFL :args ((not _let_22))) (REFL :args (_let_24)) :args _let_17)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_31 1)) _let_39 :args (_let_44 true _let_31)) _let_43 :args (_let_24 true _let_23 false _let_22)) :args (_let_21 false _let_6 true _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 1)) (CONG _let_20 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_3))) :args _let_17)) :args ((or _let_3 _let_13))) _let_19 :args (_let_3 true _let_13)) :args (false true _let_8 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))) _let_2 (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))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.49  )
% 0.19/0.49  % SZS output end Proof for SET958+1
% 0.19/0.49  % cvc5---1.0.5 exiting
% 0.19/0.50  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------