%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU203+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n029.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 16:29:59 EDT 2023

% Result   : Theorem 51.05s 51.24s
% Output   : Proof 51.05s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU203+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n029.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Wed Aug 23 12:51:52 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 51.05/51.24  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.uMv3WQVbU9/cvc5---1.0.5_9212.p...
% 51.05/51.24  ------- get file name : TPTP file name is SEU203+1
% 51.05/51.24  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9212.smt2...
% 51.05/51.24  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 51.05/51.24  --- Run --no-e-matching --full-saturate-quant at 5...
% 51.05/51.24  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 51.05/51.24  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 51.05/51.24  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 51.05/51.24  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 51.05/51.24  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 51.05/51.24  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 51.05/51.24  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.05/51.24  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 51.05/51.24  % SZS status Theorem for SEU203+1
% 51.05/51.24  % SZS output start Proof for SEU203+1
% 51.05/51.24  (
% 51.05/51.24  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.relation C) (= (tptp.in A (tptp.relation_image C B)) (exists ((D $$unsorted)) (and (tptp.in D (tptp.relation_dom C)) (tptp.in (tptp.ordered_pair D A) C) (tptp.in D B))))))))) (let ((_let_2 (tptp.empty tptp.empty_set))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (= (= B (tptp.relation_dom A)) (forall ((C $$unsorted)) (= (tptp.in C B) (exists ((D $$unsorted)) (tptp.in (tptp.ordered_pair C D) A)))))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted) (C $$unsorted)) (= (= C (tptp.relation_image A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (exists ((E $$unsorted)) (and (tptp.in (tptp.ordered_pair E D) A) (tptp.in E B))))))))))) (let ((_let_5 (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_6 (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 D) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_8 (not _let_7))) (let ((_let_9 (not _let_5))) (let ((_let_10 (or _let_9 _let_8))) (let ((_let_11 (forall ((E $$unsorted)) (or (not (tptp.in (tptp.ordered_pair E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (not (tptp.in E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))) (let ((_let_12 (not _let_10))) (let ((_let_13 (not _let_11))) (let ((_let_14 (tptp.relation_image SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_15 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_14))) (let ((_let_16 (= _let_15 _let_13))) (let ((_let_17 (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (not (tptp.in (tptp.ordered_pair D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (not (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))) (let ((_let_18 (not _let_17))) (let ((_let_19 (= _let_15 _let_18))) (let ((_let_20 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_25 (or (not (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_24)) _let_23 _let_21))) (let ((_let_26 (or _let_23 _let_21))) (let ((_let_27 (forall ((D $$unsorted)) (= (tptp.in D (tptp.relation_image SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (not (forall ((E $$unsorted)) (or (not (tptp.in (tptp.ordered_pair E D) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (not (tptp.in E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))))))) (let ((_let_28 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_27))) (let ((_let_31 (forall ((A $$unsorted) (BOUND_VARIABLE_821 $$unsorted) (BOUND_VARIABLE_819 $$unsorted)) (or (not (tptp.relation A)) (= (= BOUND_VARIABLE_821 (tptp.relation_image A BOUND_VARIABLE_819)) (forall ((D $$unsorted)) (= (tptp.in D BOUND_VARIABLE_821) (not (forall ((E $$unsorted)) (or (not (tptp.in (tptp.ordered_pair E D) A)) (not (tptp.in E BOUND_VARIABLE_819)))))))))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (or _let_29 _let_19))) (let ((_let_34 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (= (tptp.in A (tptp.relation_image C B)) (not (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom C))) (not (tptp.in (tptp.ordered_pair D A) C)) (not (tptp.in D B)))))))))) (let ((_let_35 (not _let_33))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (or))) (let ((_let_38 (not _let_34))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_36) :args (_let_38))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_34))) (REFL :args (_let_35)) :args _let_37)) _let_36 :args (_let_35 true _let_34)))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 0)) (CONG (REFL :args (_let_33)) (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_37)) :args ((or _let_28 _let_33))) _let_39 :args (_let_28 true _let_33)))) (let ((_let_41 (_let_27))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_41) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_PROP)) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_27 (not _let_30)))) _let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_31)))) _let_32 :args (_let_30 false _let_31)) :args (_let_27 false _let_28 false _let_30)) :args (_let_16 false _let_27)))) (let ((_let_43 (not _let_16))) (let ((_let_44 (not _let_15))) (let ((_let_45 (_let_16))) (let ((_let_46 (REORDERING (CNF_EQUIV_POS1 :args _let_45) :args ((or _let_44 _let_13 _let_43))))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_33 1)) _let_39 :args ((not _let_19) true _let_33)))) (let ((_let_48 (_let_19))) (let ((_let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))))) (let ((_let_50 (_let_18))) (let ((_let_51 (REFL :args (_let_25)))) (let ((_let_52 (_let_11))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_52) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_52)) (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_23 _let_21 (not _let_26)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 2)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_37)) :args ((or _let_20 _let_25))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 1)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_37)) :args ((or _let_22 _let_25))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_50)) :args _let_50)) (CONG _let_49 (REFL :args ((not _let_25))) :args _let_37)) (REORDERING (CNF_EQUIV_NEG1 :args _let_48) :args ((or _let_15 _let_18 _let_19))) _let_47 _let_46 _let_42 :args (_let_13 true _let_26 false _let_20 false _let_22 true _let_25 true _let_17 true _let_19 true _let_15 false _let_16)))) (let ((_let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_11))))) (let ((_let_55 (_let_13))) (let ((_let_56 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_55)) :args _let_55)) (CONG _let_54 (REFL :args (_let_12)) :args _let_37)))) (let ((_let_57 (REFL :args (_let_10)))) (let ((_let_58 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_10 0)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_5))) :args _let_37)) :args ((or _let_5 _let_10))))) (let ((_let_59 (not _let_6))) (let ((_let_60 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_24))) (let ((_let_61 (= _let_60 _let_59))) (let ((_let_62 (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair C D) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (tptp.in C (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))))) (let ((_let_63 (or _let_29 _let_62))) (let ((_let_64 (forall ((A $$unsorted) (BOUND_VARIABLE_850 $$unsorted)) (or (not (tptp.relation A)) (= (= (tptp.relation_dom A) BOUND_VARIABLE_850) (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair C D) A)))) (tptp.in C BOUND_VARIABLE_850)))))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (_let_62))) (let ((_let_67 (not _let_60))) (let ((_let_68 (or _let_67 _let_9 _let_8))) (let ((_let_69 (_let_17))) (let ((_let_70 (not _let_61))) (let ((_let_71 (_let_6))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_71) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_71)) :args ((or _let_9 _let_59))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_61)) (CONG (REFL :args (_let_70)) (REFL :args (_let_60)) (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_6))) :args _let_37)) :args ((or _let_60 _let_6 _let_70))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_9 _let_8 _let_67 (not _let_68)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_10 1)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) :args _let_37)) :args ((or _let_7 _let_10))) _let_58 _let_56 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_69) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ordered_pair D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) :args _let_69)) _let_46 _let_42 (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_48) (CONG (REFL :args _let_48) (REFL :args (_let_44)) _let_49 :args _let_37)) :args ((or _let_17 _let_19 _let_44))) _let_47 :args ((or _let_44 _let_67) false _let_7 false _let_5 true _let_10 false _let_68 true _let_11 false _let_16 false _let_17 true _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_45) (CONG (REFL :args (_let_43)) (REFL :args (_let_15)) _let_54 :args _let_37)) :args ((or _let_15 _let_11 _let_43))) _let_53 _let_42 :args (_let_15 true _let_11 false _let_16)) :args (_let_67 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_66) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_CBQI_PROP)) :args _let_66))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_29 _let_62 (not _let_63)))) _let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_24 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_64)))) _let_65 :args (_let_63 false _let_64)) :args (_let_62 false _let_28 false _let_63)) :args (_let_61 false _let_62)) :args (_let_6 true _let_60 false _let_61)) (MACRO_RESOLUTION_TRUST _let_58 (MACRO_RESOLUTION_TRUST _let_56 _let_53 :args (_let_12 true _let_11)) :args (_let_5 true _let_10)) :args (false false _let_6 false _let_5)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) _let_4 _let_3 (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 true true true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.ordered_pair A B)))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.singleton A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.unordered_pair A B)))) (and _let_2 (tptp.relation tptp.empty_set)) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_dom A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 51.05/51.25  )
% 51.05/51.25  % SZS output end Proof for SEU203+1
% 51.05/51.25  % cvc5---1.0.5 exiting
% 51.05/51.25  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------