%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU261+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n003.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 16:30:28 EDT 2023

% Result   : Theorem 0.19s 0.50s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SEU261+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.33  % Computer : n003.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Wed Aug 23 17:29:37 EDT 2023
% 0.14/0.33  % CPUTime    : 
% 0.19/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.rSPxAQqjtA/cvc5---1.0.5_25997.p...
% 0.19/0.50  ------- get file name : TPTP file name is SEU261+1
% 0.19/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25997.smt2...
% 0.19/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.50  % SZS status Theorem for SEU261+1
% 0.19/0.50  % SZS output start Proof for SEU261+1
% 0.19/0.50  (
% 0.19/0.50  (let ((_let_1 (not (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (=> (tptp.relation B) (forall ((C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (=> (and (tptp.well_ordering A) (tptp.relation_isomorphism A B C)) (tptp.well_ordering B))))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (=> (tptp.relation B) (forall ((C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (=> (tptp.relation_isomorphism A B C) (and (=> (tptp.reflexive A) (tptp.reflexive B)) (=> (tptp.transitive A) (tptp.transitive B)) (=> (tptp.connected A) (tptp.connected B)) (=> (tptp.antisymmetric A) (tptp.antisymmetric B)) (=> (tptp.well_founded_relation A) (tptp.well_founded_relation B)))))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.well_ordering A) (and (tptp.reflexive A) (tptp.transitive A) (tptp.antisymmetric A) (tptp.connected A) (tptp.well_founded_relation A))))))) (let ((_let_4 (tptp.well_founded_relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_5 (tptp.connected SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_6 (tptp.antisymmetric SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (tptp.transitive SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (tptp.reflexive SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_9 (and _let_8 _let_7 _let_6 _let_5 _let_4))) (let ((_let_10 (tptp.well_ordering SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (not _let_9))) (let ((_let_13 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_11))) (let ((_let_16 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (= (tptp.well_ordering A) (and (tptp.reflexive A) (tptp.transitive A) (tptp.antisymmetric A) (tptp.connected A) (tptp.well_founded_relation A))))))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (_let_16))) (let ((_let_19 ((not (= (tptp.relation A) false))))) (let ((_let_20 (tptp.relation_isomorphism SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.well_ordering SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_27 _let_14 _let_10 _let_25 _let_23 _let_21))) (let ((_let_31 (forall ((A $$unsorted) (BOUND_VARIABLE_794 $$unsorted) (BOUND_VARIABLE_792 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.well_ordering A)) (not (tptp.relation BOUND_VARIABLE_792)) (tptp.well_ordering BOUND_VARIABLE_792) (not (tptp.relation BOUND_VARIABLE_794)) (not (tptp.function BOUND_VARIABLE_794)) (not (tptp.relation_isomorphism A BOUND_VARIABLE_792 BOUND_VARIABLE_794)))))) (let ((_let_32 (not _let_30))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (or))) (let ((_let_35 (not _let_31))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_33) :args (_let_35))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_31))) (REFL :args (_let_32)) :args _let_34)) _let_33 :args (_let_32 true _let_31)))) (let ((_let_37 (REFL :args (_let_30)))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 2)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_34)) :args ((or _let_13 _let_30))) _let_36 :args (_let_13 true _let_30)))) (let ((_let_39 (tptp.well_founded_relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_4))) (let ((_let_42 (tptp.antisymmetric SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_6))) (let ((_let_45 (tptp.connected SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_5))) (let ((_let_48 (tptp.transitive SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_7))) (let ((_let_51 (tptp.reflexive SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_8))) (let ((_let_54 (and _let_53 _let_50 _let_47 _let_44 _let_41))) (let ((_let_55 (or _let_29 _let_14 _let_54 _let_25 _let_23 _let_21))) (let ((_let_56 (forall ((A $$unsorted) (BOUND_VARIABLE_722 $$unsorted) (BOUND_VARIABLE_720 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.relation BOUND_VARIABLE_720)) (and (or (not (tptp.reflexive A)) (tptp.reflexive BOUND_VARIABLE_720)) (or (not (tptp.transitive A)) (tptp.transitive BOUND_VARIABLE_720)) (or (not (tptp.connected A)) (tptp.connected BOUND_VARIABLE_720)) (or (not (tptp.antisymmetric A)) (tptp.antisymmetric BOUND_VARIABLE_720)) (or (not (tptp.well_founded_relation A)) (tptp.well_founded_relation BOUND_VARIABLE_720))) (not (tptp.relation BOUND_VARIABLE_722)) (not (tptp.function BOUND_VARIABLE_722)) (not (tptp.relation_isomorphism A BOUND_VARIABLE_720 BOUND_VARIABLE_722)))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 0)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_34)) :args ((or _let_28 _let_30))) _let_36 :args (_let_28 true _let_30)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_29 _let_14 _let_25 _let_23 _let_21 _let_54 (not _let_55)))) _let_58 _let_38 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 4)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_34)) :args ((or _let_24 _let_30))) _let_36 :args (_let_24 true _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 5)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_34)) :args ((or _let_22 _let_30))) _let_36 :args (_let_22 true _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 6)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_34)) :args ((or _let_20 _let_30))) _let_36 :args (_let_20 true _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation_isomorphism A BOUND_VARIABLE_720 BOUND_VARIABLE_722) false))))) :args (_let_56))) _let_57 :args (_let_55 false _let_56)) :args (_let_54 false _let_28 false _let_13 false _let_24 false _let_22 false _let_20 false _let_55)))) (let ((_let_60 (not _let_54))) (let ((_let_61 (and _let_51 _let_48 _let_42 _let_45 _let_39))) (let ((_let_62 (= _let_26 _let_61))) (let ((_let_63 (or _let_29 _let_62))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_62)) :args ((or _let_27 _let_61 (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 1)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_34)) :args ((or _let_26 _let_30))) _let_36 :args (_let_26 true _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_29 _let_62 (not _let_63)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_19)) :args _let_18)) _let_17 :args (_let_63 false _let_16)) :args (_let_62 false _let_28 false _let_63)) :args (_let_61 false _let_26 false _let_62)))) (let ((_let_65 (not _let_61))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_7 _let_49 (not _let_50)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_61 1)) :args ((or _let_48 _let_65))) _let_64 :args (_let_48 false _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_54 1)) :args ((or _let_50 _let_60))) _let_59 :args (_let_50 false _let_54)) :args (_let_7 false _let_48 false _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_8 _let_52 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_61 0)) :args ((or _let_51 _let_65))) _let_64 :args (_let_51 false _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_54 0)) :args ((or _let_53 _let_60))) _let_59 :args (_let_53 false _let_54)) :args (_let_8 false _let_51 false _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_6 _let_43 (not _let_44)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_61 2)) :args ((or _let_42 _let_65))) _let_64 :args (_let_42 false _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_54 3)) :args ((or _let_44 _let_60))) _let_59 :args (_let_44 false _let_54)) :args (_let_6 false _let_42 false _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_5 _let_46 (not _let_47)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_61 3)) :args ((or _let_45 _let_65))) _let_64 :args (_let_45 false _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_54 2)) :args ((or _let_47 _let_60))) _let_59 :args (_let_47 false _let_54)) :args (_let_5 false _let_45 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_4 _let_40 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_61 4)) :args ((or _let_39 _let_65))) _let_64 :args (_let_39 false _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_54 4)) :args ((or _let_41 _let_60))) _let_59 :args (_let_41 false _let_54)) :args (_let_4 false _let_39 false _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_11)) :args ((or _let_10 _let_12 (not _let_11)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_30 3)) _let_36 :args ((not _let_10) true _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_11 (not _let_15)))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_19)) :args _let_18)) _let_17 :args (_let_15 false _let_16)) :args (_let_11 false _let_13 false _let_15)) :args (_let_12 true _let_10 false _let_11)) :args (false false _let_7 false _let_8 false _let_6 false _let_5 false _let_4 true _let_9)) :args (_let_3 (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.51  )
% 0.19/0.51  % SZS output end Proof for SEU261+1
% 0.19/0.51  % cvc5---1.0.5 exiting
% 0.19/0.51  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------