%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU357+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.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 16:31:09 EDT 2023

% Result   : Theorem 0.20s 0.54s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU357+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n014.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   : Thu Aug 24 00:47:34 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.54  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.sKZDPpDFXe/cvc5---1.0.5_2503.p...
% 0.20/0.54  ------- get file name : TPTP file name is SEU357+1
% 0.20/0.54  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2503.smt2...
% 0.20/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54  % SZS status Theorem for SEU357+1
% 0.20/0.54  % SZS output start Proof for SEU357+1
% 0.20/0.54  (
% 0.20/0.54  (let ((_let_1 (forall ((A $$unsorted)) (=> (and (tptp.antisymmetric_relstr A) (tptp.rel_str A)) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.the_carrier A)) (forall ((C $$unsorted)) (=> (tptp.element C (tptp.the_carrier A)) (=> (and (tptp.related A B C) (tptp.related A C B)) (= B C)))))))))) (let ((_let_2 (not (forall ((A $$unsorted)) (=> (and (tptp.antisymmetric_relstr A) (tptp.rel_str A)) (forall ((B $$unsorted)) (= (tptp.ex_inf_of_relstr_set A B) (exists ((C $$unsorted)) (and (tptp.element C (tptp.the_carrier A)) (tptp.relstr_element_smaller A B C) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier A)) (=> (tptp.relstr_element_smaller A B D) (tptp.related A D C))))))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.rel_str A) (forall ((B $$unsorted)) (= (tptp.ex_inf_of_relstr_set A B) (exists ((C $$unsorted)) (and (tptp.element C (tptp.the_carrier A)) (tptp.relstr_element_smaller A B C) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier A)) (=> (tptp.relstr_element_smaller A B D) (tptp.related A D C)))) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier A)) (=> (and (tptp.relstr_element_smaller A B D) (forall ((E $$unsorted)) (=> (tptp.element E (tptp.the_carrier A)) (=> (tptp.relstr_element_smaller A B E) (tptp.related A E D))))) (= D C)))))))))))) (let ((_let_4 (tptp.antisymmetric_relstr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_5 (tptp.rel_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_6 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_6))) (let ((_let_8 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_6))) (let ((_let_9 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_10 (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_13 (not _let_12))) (let ((_let_14 (not _let_7))) (let ((_let_15 (not _let_8))) (let ((_let_16 (not _let_5))) (let ((_let_17 (not _let_4))) (let ((_let_18 (or _let_17 _let_16 _let_15 _let_14 _let_13 _let_11 _let_9))) (let ((_let_19 (forall ((C $$unsorted)) (or (not (tptp.element C (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 C)) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 D)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 D C)))))))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.ex_inf_of_relstr_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_22 (= _let_21 _let_20))) (let ((_let_23 (or _let_17 _let_16 _let_22))) (let ((_let_24 (forall ((A $$unsorted) (BOUND_VARIABLE_812 $$unsorted)) (or (not (tptp.antisymmetric_relstr A)) (not (tptp.rel_str A)) (= (tptp.ex_inf_of_relstr_set A BOUND_VARIABLE_812) (not (forall ((C $$unsorted)) (or (not (tptp.element C (tptp.the_carrier A))) (not (tptp.relstr_element_smaller A BOUND_VARIABLE_812 C)) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier A))) (not (tptp.relstr_element_smaller A BOUND_VARIABLE_812 D)) (tptp.related A D C)))))))))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (or))) (let ((_let_28 (not _let_24))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_26) :args (_let_28))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_24))) (REFL :args (_let_25)) :args _let_27)) _let_26 :args (_let_25 true _let_24)))) (let ((_let_30 (REFL :args (_let_23)))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 1)) (CONG _let_30 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_5))) :args _let_27)) :args ((or _let_5 _let_23))) _let_29 :args (_let_5 true _let_23)))) (let ((_let_32 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 D)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_14 _let_35 _let_33))) (let ((_let_37 (not _let_36))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_23 2)) _let_29 :args ((not _let_22) true _let_23)))) (let ((_let_39 (forall ((C $$unsorted)) (or (not (tptp.element C (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 C)) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 D)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 D C)))) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 D)) (not (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 E)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 E D)))) (= C D)))))))) (let ((_let_40 (not _let_39))) (let ((_let_41 (= _let_21 _let_40))) (let ((_let_42 (not _let_21))) (let ((_let_43 (or _let_16 _let_41))) (let ((_let_44 (forall ((A $$unsorted) (BOUND_VARIABLE_741 $$unsorted)) (or (not (tptp.rel_str A)) (= (tptp.ex_inf_of_relstr_set A BOUND_VARIABLE_741) (not (forall ((C $$unsorted)) (or (not (tptp.element C (tptp.the_carrier A))) (not (tptp.relstr_element_smaller A BOUND_VARIABLE_741 C)) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier A))) (not (tptp.relstr_element_smaller A BOUND_VARIABLE_741 D)) (tptp.related A D C)))) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier A))) (not (tptp.relstr_element_smaller A BOUND_VARIABLE_741 D)) (not (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier A))) (not (tptp.relstr_element_smaller A BOUND_VARIABLE_741 E)) (tptp.related A E D)))) (= C D)))))))))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_16 _let_41 (not _let_43)))) _let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ex_inf_of_relstr_set A BOUND_VARIABLE_741)))) :args (_let_44))) _let_45 :args (_let_43 false _let_44)) :args (_let_41 false _let_5 false _let_43)))) (let ((_let_47 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 D)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_6))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_50 _let_48 (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 D)) (not (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 E)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 E D)))) (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))))))) (let ((_let_54 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 D)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_52 _let_50 _let_55))) (let ((_let_57 (not _let_41))) (let ((_let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))))) (let ((_let_59 (_let_41))) (let ((_let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))))) (let ((_let_61 (_let_22))) (let ((_let_62 (_let_40))) (let ((_let_63 (REFL :args (_let_53)))) (let ((_let_64 (_let_19))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_52 _let_50 _let_55 (not _let_56)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_64) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element C _let_6) false))))) :args _let_64)) (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_47 (= D D)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 2)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_27)) :args ((or _let_47 _let_53))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 1)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_27)) :args ((or _let_49 _let_53))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 0)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_27)) :args ((or _let_51 _let_53))) (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_62)) :args _let_62) (REWRITE :args ((=> _let_40 (not (or _let_52 _let_50 _let_48 (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 D)) (not (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 E)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 E D)))) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 D))))))))))) (CONG _let_58 (REFL :args ((not _let_53))) :args _let_27)) (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_61) (CONG (REFL :args _let_61) (REFL :args (_let_42)) _let_60 :args _let_27)) :args ((or _let_19 _let_22 _let_42))) _let_38 (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_59) (CONG (REFL :args (_let_57)) (REFL :args (_let_21)) _let_58 :args _let_27)) :args ((or _let_21 _let_39 _let_57))) _let_46 :args (_let_39 false _let_56 false _let_54 false _let_47 false _let_49 false _let_51 true _let_53 false _let_19 true _let_22 false _let_21 false _let_41)))) (let ((_let_66 (_let_20))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_66)) :args _let_66)) (CONG _let_60 (REFL :args (_let_37)) :args _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_61) :args ((or _let_21 _let_20 _let_22))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_59) :args ((or _let_42 _let_40 _let_57))) _let_65 _let_46 :args (_let_42 false _let_39 false _let_41)) _let_38 :args (_let_20 true _let_21 true _let_22)) :args (_let_37 true _let_19)))) (let ((_let_68 (REFL :args (_let_36)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_7))) :args _let_27)) :args ((or _let_7 _let_36))) _let_67 :args (_let_7 true _let_36)))) (let ((_let_70 (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 E)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_15 _let_73 _let_71 _let_9))) (let ((_let_75 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 D)) (not (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 E)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 E D)))) (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_76 (not _let_74))) (let ((_let_77 (not _let_75))) (let ((_let_78 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 D)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_14 _let_35 _let_79 _let_77))) (let ((_let_81 (_let_39))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 2)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_27)) :args ((or _let_32 _let_36))) _let_67 :args (_let_32 true _let_36)))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 1)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_27)) :args ((or _let_34 _let_36))) _let_67 :args (_let_34 true _let_36)))) (let ((_let_84 (_let_77))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_84)) :args _let_84) (REWRITE :args ((=> _let_77 (not (or _let_15 _let_73 _let_71 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_75))) (REFL :args (_let_76)) :args _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_14 _let_35 _let_79 _let_77 (not _let_80)))) _let_69 _let_83 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_32 (= D D)))) _let_82 :args (_let_78 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_81) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element C _let_6) false))))) :args _let_81))) _let_65 :args (_let_80 false _let_39)) :args (_let_77 false _let_7 false _let_34 false _let_78 false _let_80)) :args (_let_76 true _let_75)))) (let ((_let_86 (REFL :args (_let_74)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 0)) (CONG _let_86 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_8))) :args _let_27)) :args ((or _let_8 _let_74))) _let_85 :args (_let_8 true _let_74)))) (let ((_let_88 (forall ((A $$unsorted) (BOUND_VARIABLE_869 $$unsorted) (BOUND_VARIABLE_867 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.antisymmetric_relstr A)) (not (tptp.rel_str A)) (not (tptp.element BOUND_VARIABLE_867 _let_1)) (not (tptp.element BOUND_VARIABLE_869 _let_1)) (not (tptp.related A BOUND_VARIABLE_867 BOUND_VARIABLE_869)) (not (tptp.related A BOUND_VARIABLE_869 BOUND_VARIABLE_867)) (= BOUND_VARIABLE_867 BOUND_VARIABLE_869)))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (tptp.the_carrier A))) (let ((_let_91 (or _let_15 _let_73 _let_12))) (let ((_let_92 (_let_32))) (let ((_let_93 (or _let_14 _let_35 _let_10))) (let ((_let_94 (_let_70))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_17 _let_16 _let_14 _let_15 _let_9 _let_13 _let_11 (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_14 _let_35 _let_10 (not _let_93)))) _let_69 _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_94) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element E _let_6) false))))) :args _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 2)) (CONG _let_86 (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_70))) :args _let_27)) :args ((or _let_70 _let_74))) _let_85 :args (_let_70 true _let_74)) :args (_let_93 false _let_70)) :args (_let_10 false _let_7 false _let_34 false _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_15 _let_73 _let_12 (not _let_91)))) _let_87 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 1)) (CONG _let_86 (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_72))) :args _let_27)) :args ((or _let_72 _let_74))) _let_85 :args (_let_72 true _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_92) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element D _let_6) false))))) :args _let_92)) _let_82 :args (_let_91 false _let_32)) :args (_let_12 false _let_8 false _let_72 false _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_89 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element BOUND_VARIABLE_869 _let_90) false)) (not (= (tptp.element BOUND_VARIABLE_867 _let_90) false))))) :args (_let_88)))) _let_89 :args (_let_18 false _let_88)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_74 3)) _let_85 :args ((not _let_9) true _let_74)) _let_87 _let_69 _let_31 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG _let_30 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_4))) :args _let_27)) :args ((or _let_4 _let_23))) _let_29 :args (_let_4 true _let_23)) :args (false false _let_10 false _let_12 false _let_18 true _let_9 false _let_8 false _let_7 false _let_5 false _let_4)) :args (_let_3 (forall ((A $$unsorted)) (=> (tptp.rel_str A) (tptp.one_sorted_str A))) true true true (exists ((A $$unsorted)) (tptp.rel_str A)) (exists ((A $$unsorted)) (tptp.one_sorted_str A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.55  )
% 0.20/0.55  % SZS output end Proof for SEU357+1
% 0.20/0.55  % cvc5---1.0.5 exiting
% 0.20/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------