%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COM003+3 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n020.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 : Wed Aug 30 18:36:53 EDT 2023

% Result   : Theorem 10.81s 11.30s
% Output   : Proof 11.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : COM003+3 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.34  % Computer : n020.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Tue Aug 29 12:40:28 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 10.81/11.30  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.pVePCt1nax/cvc5---1.0.5_19942.p...
% 10.81/11.30  ------- get file name : TPTP file name is COM003+3
% 10.81/11.30  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19942.smt2...
% 10.81/11.30  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.81/11.30  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.81/11.30  % SZS status Theorem for COM003+3
% 10.81/11.30  % SZS output start Proof for COM003+3
% 10.81/11.30  (
% 10.81/11.30  (let ((_let_1 (not (not (exists ((X1 $$unsorted)) (and (tptp.algorithm X1) (forall ((Y1 $$unsorted)) (=> (tptp.program Y1) (forall ((Z1 $$unsorted)) (tptp.decides X1 Y1 Z1)))))))))) (let ((_let_2 (forall ((W $$unsorted)) (=> (and (tptp.program W) (forall ((Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.halts3 W Y Z))) (let ((_let_2 (tptp.halts2 Y Z))) (let ((_let_3 (tptp.program Y))) (and (=> (and _let_3 _let_2) (and _let_1 (tptp.outputs W tptp.good))) (=> (and _let_3 (not _let_2)) (and _let_1 (tptp.outputs W tptp.bad))))))))) (exists ((V $$unsorted)) (and (tptp.program V) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.halts2 V Y))) (let ((_let_2 (tptp.halts3 W Y Y))) (let ((_let_3 (tptp.program Y))) (and (=> (and _let_3 _let_2 (tptp.outputs W tptp.good)) (not _let_1)) (=> (and _let_3 _let_2 (tptp.outputs W tptp.bad)) (and _let_1 (tptp.outputs V tptp.bad)))))))))))))) (let ((_let_3 (forall ((W $$unsorted)) (=> (and (tptp.program W) (forall ((Y $$unsorted)) (=> (tptp.program Y) (forall ((Z $$unsorted)) (tptp.decides W Y Z))))) (forall ((Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.halts3 W Y Z))) (let ((_let_2 (tptp.halts2 Y Z))) (let ((_let_3 (tptp.program Y))) (and (=> (and _let_3 _let_2) (and _let_1 (tptp.outputs W tptp.good))) (=> (and _let_3 (not _let_2)) (and _let_1 (tptp.outputs W tptp.bad)))))))))))) (let ((_let_4 (=> (exists ((X $$unsorted)) (and (tptp.algorithm X) (forall ((Y $$unsorted)) (=> (tptp.program Y) (forall ((Z $$unsorted)) (tptp.decides X Y Z)))))) (exists ((W $$unsorted)) (and (tptp.program W) (forall ((Y $$unsorted)) (=> (tptp.program Y) (forall ((Z $$unsorted)) (tptp.decides W Y Z))))))))) (let ((_let_5 (tptp.program SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51))) (let ((_let_6 (tptp.halts2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (tptp.outputs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.bad))) (let ((_let_8 (tptp.halts3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_9 (and _let_8 _let_7))) (let ((_let_10 (not _let_5))) (let ((_let_11 (or _let_10 _let_6 _let_9))) (let ((_let_12 (forall ((BOUND_VARIABLE_882 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_882)) (not (tptp.halts3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_882 BOUND_VARIABLE_882)) (and (tptp.halts2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 BOUND_VARIABLE_882) (tptp.outputs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 tptp.bad)))))) (let ((_let_13 (not _let_12))) (let ((_let_14 (and _let_7 _let_13))) (let ((_let_15 (forall ((BOUND_VARIABLE_871 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_871)) (not (tptp.halts3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_871 BOUND_VARIABLE_871)) (not (tptp.halts2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 BOUND_VARIABLE_871)))))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.outputs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.good))) (let ((_let_18 (and _let_17 _let_16))) (let ((_let_19 (or _let_10 _let_18 _let_14))) (let ((_let_20 (forall ((V $$unsorted)) (or (not (tptp.program V)) (and (tptp.outputs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.good) (not (forall ((BOUND_VARIABLE_871 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_871)) (not (tptp.halts3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_871 BOUND_VARIABLE_871)) (not (tptp.halts2 V BOUND_VARIABLE_871)))))) (and (tptp.outputs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.bad) (not (forall ((BOUND_VARIABLE_882 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_882)) (not (tptp.halts3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_882 BOUND_VARIABLE_882)) (and (tptp.halts2 V BOUND_VARIABLE_882) (tptp.outputs V tptp.bad)))))))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (not _let_20))) (let ((_let_23 (forall ((BOUND_VARIABLE_844 $$unsorted) (BOUND_VARIABLE_846 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_844)) (tptp.halts2 BOUND_VARIABLE_844 BOUND_VARIABLE_846) (and (tptp.halts3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_844 BOUND_VARIABLE_846) (tptp.outputs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.bad)))))) (let ((_let_24 (not _let_23))) (let ((_let_25 (forall ((BOUND_VARIABLE_831 $$unsorted) (BOUND_VARIABLE_833 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_831)) (not (tptp.halts2 BOUND_VARIABLE_831 BOUND_VARIABLE_833)) (and (tptp.halts3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_831 BOUND_VARIABLE_833) (tptp.outputs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.good)))))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.program SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26 _let_24 _let_22))) (let ((_let_30 (forall ((W $$unsorted)) (or (not (tptp.program W)) (not (forall ((BOUND_VARIABLE_831 $$unsorted) (BOUND_VARIABLE_833 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_831)) (not (tptp.halts2 BOUND_VARIABLE_831 BOUND_VARIABLE_833)) (and (tptp.halts3 W BOUND_VARIABLE_831 BOUND_VARIABLE_833) (tptp.outputs W tptp.good))))) (not (forall ((BOUND_VARIABLE_844 $$unsorted) (BOUND_VARIABLE_846 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_844)) (tptp.halts2 BOUND_VARIABLE_844 BOUND_VARIABLE_846) (and (tptp.halts3 W BOUND_VARIABLE_844 BOUND_VARIABLE_846) (tptp.outputs W tptp.bad))))) (not (forall ((V $$unsorted)) (or (not (tptp.program V)) (and (tptp.outputs W tptp.good) (not (forall ((BOUND_VARIABLE_871 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_871)) (not (tptp.halts3 W BOUND_VARIABLE_871 BOUND_VARIABLE_871)) (not (tptp.halts2 V BOUND_VARIABLE_871)))))) (and (tptp.outputs W tptp.bad) (not (forall ((BOUND_VARIABLE_882 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_882)) (not (tptp.halts3 W BOUND_VARIABLE_882 BOUND_VARIABLE_882)) (and (tptp.halts2 V BOUND_VARIABLE_882) (tptp.outputs V tptp.bad))))))))))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM))) (let ((_let_33 (or (not (tptp.program SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19)) (tptp.halts2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (and (tptp.halts3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) _let_7)))) (let ((_let_34 (tptp.halts3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_35 (and _let_34 _let_17))) (let ((_let_36 (tptp.halts2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_28 _let_37 _let_35))) (let ((_let_39 (and _let_38 _let_33))) (let ((_let_40 (forall ((Y $$unsorted) (BOUND_VARIABLE_746 $$unsorted)) (or (not (tptp.program Y)) (tptp.decides SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Y BOUND_VARIABLE_746))))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_28 _let_41 _let_39))) (let ((_let_43 (forall ((W $$unsorted) (BOUND_VARIABLE_807 $$unsorted) (BOUND_VARIABLE_798 $$unsorted) (BOUND_VARIABLE_809 $$unsorted) (BOUND_VARIABLE_796 $$unsorted)) (or (not (tptp.program W)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_746 $$unsorted)) (or (not (tptp.program Y)) (tptp.decides W Y BOUND_VARIABLE_746)))) (and (or (not (tptp.program BOUND_VARIABLE_796)) (not (tptp.halts2 BOUND_VARIABLE_796 BOUND_VARIABLE_798)) (and (tptp.halts3 W BOUND_VARIABLE_796 BOUND_VARIABLE_798) (tptp.outputs W tptp.good))) (or (not (tptp.program BOUND_VARIABLE_807)) (tptp.halts2 BOUND_VARIABLE_807 BOUND_VARIABLE_809) (and (tptp.halts3 W BOUND_VARIABLE_807 BOUND_VARIABLE_809) (tptp.outputs W tptp.bad)))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_43))) (let ((_let_46 (forall ((Y $$unsorted) (BOUND_VARIABLE_725 $$unsorted)) (or (not (tptp.program Y)) (tptp.decides SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Y BOUND_VARIABLE_725))))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_28 _let_47))) (let ((_let_49 (forall ((W $$unsorted)) (or (not (tptp.program W)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_725 $$unsorted)) (or (not (tptp.program Y)) (tptp.decides W Y BOUND_VARIABLE_725)))))))) (let ((_let_50 (not _let_48))) (let ((_let_51 (forall ((X $$unsorted)) (or (not (tptp.algorithm X)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_706 $$unsorted)) (or (not (tptp.program Y)) (tptp.decides X Y BOUND_VARIABLE_706)))))))) (let ((_let_52 (not _let_49))) (let ((_let_53 (not _let_51))) (let ((_let_54 (or))) (let ((_let_55 (_let_52))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_55)) :args _let_55)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_49))) (REFL :args (_let_50)) :args _let_54)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_51))) (REFL :args _let_55) :args _let_54)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_51 (= Y Y1) (= BOUND_VARIABLE_706 BOUND_VARIABLE_930) (= X X1)))) (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (_let_53 true (forall ((X1 $$unsorted)) (or (not (tptp.algorithm X1)) (not (forall ((Y1 $$unsorted) (BOUND_VARIABLE_930 $$unsorted)) (or (not (tptp.program Y1)) (tptp.decides X1 Y1 BOUND_VARIABLE_930)))))))) :args (_let_52 true _let_51)) :args (_let_50 true _let_49)))) (let ((_let_57 (REFL :args (_let_48)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_46 (= Y Y) (= BOUND_VARIABLE_725 BOUND_VARIABLE_746)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 1)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_54)) :args ((or _let_46 _let_48))) _let_56 :args (_let_46 true _let_48)) :args (_let_40 false _let_46)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 0)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_54)) :args ((or _let_27 _let_48))) _let_56 :args (_let_27 true _let_48)))) (let ((_let_60 (_let_24))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_60)) :args _let_60)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) (REFL :args ((not _let_33))) :args _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 1)) :args ((or _let_33 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_28 _let_41 _let_39 (not _let_42)))) _let_59 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_45)) _let_44 :args (_let_42 false _let_43)) :args (_let_39 false _let_27 false _let_40 false _let_42)) :args (_let_33 false _let_39)) :args (_let_23 false _let_33)))) (let ((_let_62 (or (not (tptp.program SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (not (tptp.halts2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (and (tptp.halts3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) _let_17)))) (let ((_let_63 (and _let_34 _let_7))) (let ((_let_64 (or _let_28 _let_36 _let_63))) (let ((_let_65 (and _let_62 _let_64))) (let ((_let_66 (or _let_28 _let_41 _let_65))) (let ((_let_67 (_let_26))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_67)) :args _let_67)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) (REFL :args ((not _let_62))) :args _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_65 0)) :args ((or _let_62 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_28 _let_41 _let_65 (not _let_66)))) _let_59 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_ENUM)) :args _let_45)) _let_44 :args (_let_66 false _let_43)) :args (_let_65 false _let_27 false _let_40 false _let_66)) :args (_let_62 false _let_65)) :args (_let_25 false _let_62)))) (let ((_let_69 (_let_22))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_69)) :args _let_69)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_20))) (REFL :args (_let_21)) :args _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_26 _let_24 _let_22 (not _let_29)))) _let_59 _let_68 _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args _let_32) :args (_let_30))) _let_31 :args (_let_29 false _let_30)) :args (_let_22 false _let_27 false _let_25 false _let_23 false _let_29)) :args (_let_21 true _let_20)))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 0)) (CONG (REFL :args (_let_19)) (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_5))) :args _let_54)) :args ((or _let_5 _let_19))) _let_70 :args (_let_5 true _let_19)))) (let ((_let_72 (not _let_6))) (let ((_let_73 (tptp.halts3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_28 _let_74 _let_72))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 1)) _let_70 :args ((not _let_18) true _let_19)))) (let ((_let_77 (and _let_38 _let_64))) (let ((_let_78 (or _let_28 _let_41 _let_77))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_28 _let_41 _let_77 (not _let_78)))) _let_59 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_45)) _let_44 :args (_let_78 false _let_43)) :args (_let_77 false _let_27 false _let_40 false _let_78)))) (let ((_let_80 (not _let_77))) (let ((_let_81 (not _let_63))) (let ((_let_82 (not _let_7))) (let ((_let_83 (and _let_6 (tptp.outputs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 tptp.bad)))) (let ((_let_84 (or _let_28 _let_74 _let_83))) (let ((_let_85 (and _let_8 _let_17))) (let ((_let_86 (or _let_10 _let_72 _let_85))) (let ((_let_87 (not _let_84))) (let ((_let_88 (and _let_73 _let_17))) (let ((_let_89 (and _let_73 _let_7))) (let ((_let_90 (tptp.halts2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_28 _let_91 _let_88))) (let ((_let_93 (or _let_28 _let_90 _let_89))) (let ((_let_94 (_let_25))) (let ((_let_95 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM))) (let ((_let_96 (ASSUME :args _let_94))) (let ((_let_97 (_let_23))) (let ((_let_98 (ASSUME :args _let_97))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_28 _let_90 _let_89 (not _let_93)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args _let_95) :args _let_97)) _let_61 :args (_let_93 false _let_23)) _let_59 (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_28 _let_91 _let_88 (not _let_92)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args _let_95) :args _let_94)) _let_68 :args (_let_92 false _let_25)) _let_59 (REORDERING (CNF_AND_POS :args (_let_89 0)) :args ((or _let_73 (not _let_89)))) (REORDERING (CNF_AND_POS :args (_let_88 0)) :args ((or _let_73 (not _let_88)))) :args (_let_73 false _let_93 false _let_27 true _let_90 false _let_92 false _let_27 true _let_89 true _let_88)))) (let ((_let_100 (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_28 _let_74 _let_83 _let_87))))) (let ((_let_101 (not _let_75))) (let ((_let_102 (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_28 _let_74 _let_72 _let_101))))) (let ((_let_103 (REORDERING (CNF_AND_POS :args (_let_83 0)) :args ((or _let_6 (not _let_83)))))) (let ((_let_104 (_let_15))) (let ((_let_105 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_104) :args _let_32) :args _let_104)))) (let ((_let_106 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_107 (not _let_17))) (let ((_let_108 (_let_18))) (let ((_let_109 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_108) (CONG (REFL :args _let_108) (REFL :args (_let_107)) (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_54)) :args ((or _let_107 _let_15 _let_18))))) (let ((_let_110 (_let_12))) (let ((_let_111 (_let_14))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_111) (CONG (REFL :args _let_111) (REFL :args (_let_82)) (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_54)) :args ((or _let_82 _let_12 _let_14))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_110) :args _let_32) :args _let_110)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_85 1)) :args ((or _let_17 (not _let_85)))) _let_109 _let_76 (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_10 _let_72 _let_85 (not _let_86)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args _let_106) :args _let_94)) _let_68 :args (_let_86 false _let_25)) _let_71 _let_105 _let_103 (MACRO_RESOLUTION_TRUST _let_103 _let_102 _let_59 _let_100 _let_59 :args ((or _let_74 _let_87 _let_101) true _let_6 false _let_27 false _let_83 false _let_27)) _let_99 _let_100 _let_99 _let_59 :args (_let_87 true _let_17 true _let_18 false _let_85 false _let_86 false _let_5 true _let_15 false _let_6 true _let_75 false _let_73 false _let_83 false _let_73 false _let_27)) :args (_let_13 true _let_84)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 2)) _let_70 :args ((not _let_14) true _let_19)) :args (_let_82 true _let_12 true _let_14)))) (let ((_let_113 (not _let_9))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_10 _let_6 _let_9 (not _let_11)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args _let_106) :args _let_97)) _let_61 :args (_let_11 false _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 1)) :args ((or _let_7 _let_113))) _let_112 :args (_let_113 true _let_7)) (MACRO_RESOLUTION_TRUST _let_102 _let_59 _let_99 (MACRO_RESOLUTION_TRUST _let_105 (MACRO_RESOLUTION_TRUST _let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_35 1)) :args ((or _let_17 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_28 _let_37 _let_35 (not _let_38)))) _let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_28 _let_36 _let_63 (not _let_64)))) _let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_63 1)) :args ((or _let_7 _let_81))) _let_112 :args (_let_81 true _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_77 1)) :args ((or _let_64 _let_80))) _let_79 :args (_let_64 false _let_77)) :args (_let_36 false _let_27 true _let_63 false _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_77 0)) :args ((or _let_38 _let_80))) _let_79 :args (_let_38 false _let_77)) :args (_let_35 false _let_27 false _let_36 false _let_38)) :args (_let_17 false _let_35)) _let_76 :args (_let_15 false _let_17 true _let_18)) :args (_let_75 false _let_15)) :args (_let_72 false _let_27 false _let_73 false _let_75)) _let_71 :args (false false _let_11 true _let_9 true _let_6 false _let_5)) :args (_let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.15/11.30  )
% 11.15/11.30  % SZS output end Proof for COM003+3
% 11.15/11.30  % cvc5---1.0.5 exiting
% 11.15/11.31  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------