%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU157+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n028.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 16:29:39 EDT 2023

% Result   : Theorem 2.57s 2.90s
% Output   : Proof 2.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU157+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.36  % Computer : n028.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Wed Aug 23 16:32:49 EDT 2023
% 0.13/0.36  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 2.57/2.90  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.wU23wjHx6h/cvc5---1.0.5_16145.p...
% 2.57/2.90  ------- get file name : TPTP file name is SEU157+1
% 2.57/2.90  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16145.smt2...
% 2.57/2.90  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.57/2.90  % SZS status Theorem for SEU157+1
% 2.57/2.90  % SZS output start Proof for SEU157+1
% 2.57/2.90  (
% 2.57/2.90  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (= (tptp.ordered_pair A B) (tptp.ordered_pair C D)) (and (= A C) (= B D)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.in (tptp.ordered_pair A B) (tptp.cartesian_product2 C D)) (and (tptp.in A C) (tptp.in B D)))))) (let ((_let_3 (not _let_2))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.cartesian_product2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.in E A) (tptp.in F B) (= D (tptp.ordered_pair E F)))))))))) (let ((_let_5 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_6 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (and _let_6 _let_5))) (let ((_let_8 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_9 (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (tptp.in _let_9 _let_8))) (let ((_let_11 (= _let_10 _let_7))) (let ((_let_12 (not _let_7))) (let ((_let_13 (forall ((E $$unsorted) (F $$unsorted)) (or (not (tptp.in E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.in F SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (= (tptp.ordered_pair E F) (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_14 (not _let_13))) (let ((_let_15 (= _let_10 _let_14))) (let ((_let_16 (not _let_5))) (let ((_let_17 (not _let_6))) (let ((_let_18 (or _let_17 _let_16))) (let ((_let_19 (not _let_11))) (let ((_let_20 (_let_3))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (or))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_21) :args _let_20)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))) (REFL :args (_let_19)) :args _let_22)) _let_21 :args (_let_19 true _let_2)))) (let ((_let_24 (_let_11))) (let ((_let_25 (forall ((D $$unsorted)) (= (not (forall ((E $$unsorted) (F $$unsorted)) (or (not (tptp.in E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.in F SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (= D (tptp.ordered_pair E F)))))) (tptp.in D (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.cartesian_product2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (not (forall ((E $$unsorted) (F $$unsorted)) (or (not (tptp.in E A)) (not (tptp.in F B)) (not (= D (tptp.ordered_pair E F)))))))))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (_let_25))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_28) :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in D _let_8)))) :args _let_28))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_8 QUANTIFIERS_INST_ENUM)) :args (_let_26)))) _let_27 :args (_let_25 false _let_26)) :args (_let_15 false _let_25)))) (let ((_let_30 (not _let_15))) (let ((_let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))))) (let ((_let_32 (_let_15))) (let ((_let_33 (_let_13))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_17 _let_16 (not _let_18)))) (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_33) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ordered_pair E F)))) :args _let_33))) (REORDERING (CNF_AND_POS :args (_let_7 1)) :args ((or _let_5 _let_12))) (REORDERING (CNF_AND_POS :args (_let_7 0)) :args ((or _let_6 _let_12))) (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_32) (CONG (REFL :args (_let_30)) (REFL :args (_let_10)) _let_31 :args _let_22)) :args ((or _let_10 _let_13 _let_30))) _let_29 (REORDERING (CNF_EQUIV_NEG1 :args _let_24) :args ((or _let_10 _let_7 _let_11))) _let_23 :args (_let_10 false _let_18 false _let_5 false _let_6 false _let_13 false _let_15 false _let_7 true _let_11)))) (let ((_let_35 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73))) (let ((_let_36 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_37 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_74))) (let ((_let_38 (and _let_35 _let_37))) (let ((_let_39 (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_74))) (let ((_let_40 (= _let_9 _let_39))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_38))) (let ((_let_43 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (= (tptp.ordered_pair A B) (tptp.ordered_pair C D))) (and (= A C) (= B D)))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_74 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_46 (not _let_45))) (let ((_let_47 (not _let_36))) (let ((_let_48 (or _let_47 _let_46 _let_41))) (let ((_let_49 (not _let_48))) (let ((_let_50 (_let_14))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_50)) :args _let_50) (REWRITE :args ((=> _let_14 (not (or _let_47 _let_46 (not (= _let_39 _let_9))))))))) (CONG _let_31 (REFL :args (_let_49)) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_32) :args ((or (not _let_10) _let_14 _let_30))) _let_34 _let_29 :args (_let_14 false _let_10 false _let_15)) :args (_let_49 true _let_13)))) (let ((_let_52 (REFL :args (_let_48)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_38 (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 2)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_22)) :args ((or _let_40 _let_48))) _let_51 :args (_let_40 true _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_74 QUANTIFIERS_INST_E_MATCHING ((tptp.ordered_pair A B) (tptp.ordered_pair C D)))) :args (_let_43))) _let_44 :args (_let_42 false _let_43)) :args (_let_38 false _let_40 false _let_42)))) (let ((_let_54 (not _let_38))) (let ((_let_55 (and _let_36 _let_35))) (let ((_let_56 (_let_36 _let_35))) (let ((_let_57 (ASSUME :args (_let_36)))) (let ((_let_58 (APPLY_UF tptp.in))) (let ((_let_59 (ASSUME :args (_let_35)))) (let ((_let_60 (and _let_45 _let_37))) (let ((_let_61 (_let_45 _let_37))) (let ((_let_62 (ASSUME :args (_let_45)))) (let ((_let_63 (ASSUME :args (_let_37)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_60)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_62 _let_63) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM (SYMM _let_63)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) :args _let_58) (TRUE_INTRO _let_62))) :args _let_61)) :args _let_61)) :args (true _let_60)) :args ((or _let_5 _let_46 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 1)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_22)) :args ((or _let_45 _let_48))) _let_51 :args (_let_45 true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_38 1)) :args ((or _let_37 _let_54))) _let_53 :args (_let_37 false _let_38)) :args (_let_5 false _let_45 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_55)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_57 _let_59) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM (SYMM _let_59)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) :args _let_58) (TRUE_INTRO _let_57))) :args _let_56)) :args _let_56)) :args (true _let_55)) :args ((or _let_6 _let_47 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 0)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_36))) :args _let_22)) :args ((or _let_36 _let_48))) _let_51 :args (_let_36 true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_38 0)) :args ((or _let_35 _let_54))) _let_53 :args (_let_35 false _let_38)) :args (_let_6 false _let_36 false _let_35)) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_24) _let_23 _let_34 :args (_let_12 true _let_11 false _let_10)) :args (false false _let_5 false _let_6 true _let_7)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) _let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.ordered_pair A B)))) _let_3 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.57/2.91  )
% 2.57/2.91  % SZS output end Proof for SEU157+1
% 2.57/2.91  % cvc5---1.0.5 exiting
% 2.57/2.91  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------