TSTP Solution File: NUN056+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUN056+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 12:46:18 EDT 2023
% Result : Theorem 0.22s 0.66s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUN056+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n004.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 : Sun Aug 27 08:58:52 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.66 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ovOa6Yhd0b/cvc5---1.0.5_2195.p...
% 0.22/0.66 ------- get file name : TPTP file name is NUN056+2
% 0.22/0.66 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2195.smt2...
% 0.22/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.66 % SZS status Theorem for NUN056+2
% 0.22/0.66 % SZS output start Proof for NUN056+2
% 0.22/0.66 (
% 0.22/0.66 (let ((_let_1 (not (exists ((Y1 $$unsorted)) (and (exists ((Y2 $$unsorted)) (and (= Y1 Y2) (exists ((Y3 $$unsorted)) (and (tptp.r2 Y3 Y2) (exists ((Y5 $$unsorted)) (and (tptp.r2 Y5 Y3) (exists ((Y8 $$unsorted)) (and (tptp.r1 Y8) (tptp.r2 Y8 Y5))))))))) (exists ((Y4 $$unsorted)) (and (exists ((Y6 $$unsorted)) (and (tptp.r3 Y6 Y4 Y1) (exists ((Y9 $$unsorted)) (and (tptp.r1 Y9) (tptp.r2 Y9 Y6))))) (exists ((Y7 $$unsorted)) (and (tptp.r2 Y7 Y4) (exists ((Y10 $$unsorted)) (and (tptp.r1 Y10) (tptp.r2 Y10 Y7)))))))))))) (let ((_let_2 (forall ((X4 $$unsorted)) (exists ((Y9 $$unsorted)) (and (exists ((Y16 $$unsorted)) (and (tptp.r1 Y16) (tptp.r3 X4 Y16 Y9))) (= Y9 X4)))))) (let ((_let_3 (forall ((X1 $$unsorted) (X8 $$unsorted)) (exists ((Y4 $$unsorted)) (and (exists ((Y5 $$unsorted)) (and (exists ((Y15 $$unsorted)) (and (tptp.r2 X8 Y15) (tptp.r3 X1 Y15 Y5))) (= Y5 Y4))) (exists ((Y7 $$unsorted)) (and (tptp.r2 Y7 Y4) (tptp.r3 X1 X8 Y7)))))))) (let ((_let_4 (forall ((X13 $$unsorted) (X14 $$unsorted)) (exists ((Y22 $$unsorted)) (forall ((X15 $$unsorted)) (let ((_let_1 (= X15 Y22))) (let ((_let_2 (tptp.r3 X13 X14 X15))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))))) (let ((_let_5 (forall ((X11 $$unsorted)) (exists ((Y21 $$unsorted)) (forall ((X12 $$unsorted)) (let ((_let_1 (= X12 Y21))) (let ((_let_2 (tptp.r2 X11 X12))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))))) (let ((_let_6 (exists ((Y24 $$unsorted)) (forall ((X19 $$unsorted)) (let ((_let_1 (= X19 Y24))) (let ((_let_2 (tptp.r1 X19))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1)))))))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_8 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_81 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_80))) (let ((_let_9 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_81))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78))) (let ((_let_11 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_80))) (let ((_let_12 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_13 (and _let_12 _let_7))) (let ((_let_14 (not _let_12))) (let ((_let_15 (or _let_14 _let_13))) (let ((_let_16 (forall ((BOUND_VARIABLE_887 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_887))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_887 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37))))))) (let ((_let_17 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37))) (let ((_let_18 (not _let_17))) (let ((_let_19 (not _let_16))) (let ((_let_20 (or _let_19 _let_18))) (let ((_let_21 (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_887 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_887))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_887)))))) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 Y21)))))) (let ((_let_22 (not _let_20))) (let ((_let_23 (forall ((X11 $$unsorted)) (not (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_887 $$unsorted)) (let ((_let_1 (tptp.r2 X11 BOUND_VARIABLE_887))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_887)))))) (not (tptp.r2 X11 Y21)))))))) (let ((_let_24 (not _let_21))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (_let_23))) (let ((_let_27 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_ENUM))) (let ((_let_28 (or))) (let ((_let_29 (_let_24))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_29)) :args _let_29) (REWRITE :args ((=> _let_24 (not (or (not (forall ((BOUND_VARIABLE_887 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_887))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 BOUND_VARIABLE_887)))))) _let_18))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_21))) (REFL :args (_let_22)) :args _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args _let_27) :args _let_26)) _let_25 :args (_let_24 false _let_23)) :args (_let_22 true _let_21)))) (let ((_let_31 (REFL :args (_let_20)))) (let ((_let_32 (_let_16))) (let ((_let_33 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59))) (let ((_let_34 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56))) (let ((_let_35 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_36 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59))) (let ((_let_37 (and _let_36 _let_33))) (let ((_let_38 (not _let_36))) (let ((_let_39 (or _let_38 _let_37))) (let ((_let_40 (forall ((BOUND_VARIABLE_935 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_935))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_935 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56))))))) (let ((_let_41 (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56)))) (let ((_let_42 (not _let_40))) (let ((_let_43 (or _let_42 _let_41))) (let ((_let_44 (forall ((Y22 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_935 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_935))) (or (not _let_1) (and _let_1 (= Y22 BOUND_VARIABLE_935)))))) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y22)))))) (let ((_let_45 (not _let_43))) (let ((_let_46 (forall ((X13 $$unsorted) (X14 $$unsorted)) (not (forall ((Y22 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_935 $$unsorted)) (let ((_let_1 (tptp.r3 X13 X14 BOUND_VARIABLE_935))) (or (not _let_1) (and _let_1 (= Y22 BOUND_VARIABLE_935)))))) (not (tptp.r3 X13 X14 Y22)))))))) (let ((_let_47 (not _let_44))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_46))) (let ((_let_50 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_51 (_let_47))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 0)) (CONG (REFL :args (_let_43)) (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_40))) :args _let_28)) :args ((or _let_40 _let_43))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_51)) :args _let_51) (REWRITE :args ((=> _let_47 (not (or (not (forall ((BOUND_VARIABLE_935 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_935))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 BOUND_VARIABLE_935)))))) _let_41))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_44))) (REFL :args (_let_45)) :args _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args _let_50) :args _let_49)) _let_48 :args (_let_47 false _let_46)) :args (_let_45 true _let_44)) :args (_let_40 true _let_43)))) (let ((_let_53 (_let_40))) (let ((_let_54 ((not (= (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_935) false))))) (let ((_let_55 (ASSUME :args _let_53))) (let ((_let_56 (not _let_35))) (let ((_let_57 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_58 _let_56 _let_38))) (let ((_let_62 (forall ((Y4 $$unsorted) (BOUND_VARIABLE_1083 $$unsorted) (BOUND_VARIABLE_1076 $$unsorted)) (or (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1076)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_1076 Y4)) (not (tptp.r2 BOUND_VARIABLE_1083 Y4)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1083)))))) (let ((_let_63 (not _let_61))) (let ((_let_64 (forall ((X1 $$unsorted) (X8 $$unsorted)) (not (forall ((Y4 $$unsorted) (BOUND_VARIABLE_1083 $$unsorted) (BOUND_VARIABLE_1076 $$unsorted)) (or (not (tptp.r2 X8 BOUND_VARIABLE_1076)) (not (tptp.r3 X1 BOUND_VARIABLE_1076 Y4)) (not (tptp.r2 BOUND_VARIABLE_1083 Y4)) (not (tptp.r3 X1 X8 BOUND_VARIABLE_1083)))))))) (let ((_let_65 (not _let_62))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (_let_64))) (let ((_let_68 (_let_65))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_68)) :args _let_68)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_62))) (REFL :args (_let_63)) :args _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args _let_50) :args _let_67)) _let_66 :args (_let_65 false _let_64)) :args (_let_63 true _let_62)))) (let ((_let_70 (REFL :args (_let_61)))) (let ((_let_71 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_72 (and _let_71 _let_34))) (let ((_let_73 (not _let_71))) (let ((_let_74 (or _let_73 _let_72))) (let ((_let_75 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))) (let ((_let_76 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_77 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))) (let ((_let_78 (and _let_77 _let_75))) (let ((_let_79 (not _let_77))) (let ((_let_80 (or _let_79 _let_78))) (let ((_let_81 (forall ((BOUND_VARIABLE_840 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_840))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_840 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_82 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_83 (not _let_82))) (let ((_let_84 (not _let_81))) (let ((_let_85 (or _let_84 _let_83))) (let ((_let_86 (forall ((Y24 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_840 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_840))) (or (not _let_1) (and _let_1 (= Y24 BOUND_VARIABLE_840)))))) (not (tptp.r1 Y24)))))) (let ((_let_87 (not _let_85))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (not _let_86))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_88) :args (_let_89)) (REWRITE :args ((=> _let_89 (not (or (not (forall ((BOUND_VARIABLE_840 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_840))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_840)))))) _let_83))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_89) _let_86))) (REFL :args (_let_87)) :args _let_28)) _let_88 :args (_let_87 true _let_86)))) (let ((_let_91 (REFL :args (_let_85)))) (let ((_let_92 (_let_81))) (let ((_let_93 (not _let_76))) (let ((_let_94 (or _let_79 _let_93))) (let ((_let_95 (forall ((BOUND_VARIABLE_1219 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1219)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_1219 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)))))) (let ((_let_96 (not _let_94))) (let ((_let_97 (forall ((X4 $$unsorted)) (not (forall ((BOUND_VARIABLE_1219 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1219)) (not (tptp.r3 X4 BOUND_VARIABLE_1219 X4)))))))) (let ((_let_98 (not _let_95))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (_let_98))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_100)) :args _let_100)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_98) _let_95))) (REFL :args (_let_96)) :args _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args _let_27) :args (_let_97))) _let_99 :args (_let_98 false _let_97)) :args (_let_96 true _let_95)))) (let ((_let_102 (REFL :args (_let_94)))) (let ((_let_103 (and _let_76 _let_75))) (let ((_let_104 (_let_76 _let_75))) (let ((_let_105 (ASSUME :args (_let_76)))) (let ((_let_106 (APPLY_UF tptp.r3))) (let ((_let_107 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)))) (let ((_let_108 (ASSUME :args (_let_75)))) (let ((_let_109 (and _let_35 _let_34 _let_33))) (let ((_let_110 (ASSUME :args (_let_35)))) (let ((_let_111 (APPLY_UF tptp.r2))) (let ((_let_112 (ASSUME :args (_let_33)))) (let ((_let_113 (ASSUME :args (_let_34)))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_13 1)) :args ((or _let_7 (not _let_13)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_13 (not _let_15)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_109)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_110 _let_112 _let_113) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (SYMM (SYMM _let_113)) (SYMM (SYMM _let_112))) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58)) :args _let_111) (TRUE_INTRO _let_110))) :args (_let_35 _let_33 _let_34))) :args (_let_35 _let_34 _let_33))) :args (true _let_109)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 2)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_35))) :args _let_28)) :args ((or _let_35 _let_61))) _let_69 :args (_let_35 true _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_72 1)) :args ((or _let_34 (not _let_72)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_73 _let_72 (not _let_74)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_103)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_105 _let_108) (SCOPE (TRUE_ELIM (TRANS (CONG _let_107 (SYMM (SYMM _let_108)) _let_107 :args _let_106) (TRUE_INTRO _let_105))) :args _let_104)) :args _let_104)) :args (true _let_103)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_94 1)) (CONG _let_102 (MACRO_SR_PRED_INTRO :args ((= (not _let_93) _let_76))) :args _let_28)) :args ((or _let_76 _let_94))) _let_101 :args (_let_76 true _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_78 1)) :args ((or _let_75 (not _let_78)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_79 _let_78 (not _let_80)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_94 0)) (CONG _let_102 (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_77))) :args _let_28)) :args ((or _let_77 _let_94))) _let_101 :args (_let_77 true _let_94)) 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_let_28)) :args ((or _let_59 _let_61))) _let_69 :args (_let_59 true _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_162) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_887) false))))) :args _let_162))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_155 0)) (CONG _let_161 (MACRO_SR_PRED_INTRO :args ((= (not _let_154) _let_151))) :args _let_28)) :args ((or _let_151 _let_155))) _let_160 :args (_let_151 true _let_155)) :args (_let_150 false _let_151)) :args (_let_149 false _let_59 false _let_150)) :args (_let_148 false _let_149)) _let_114 :args (_let_144 false _let_57 false _let_148 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_142)) :args _let_141)) _let_140 :args (_let_147 false _let_132)) :args (_let_145 false _let_144 false _let_147)) :args (_let_10 false _let_145)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_130 1)) :args ((or _let_9 (not _let_130)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_116 _let_130 (not _let_131)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_122 3)) (CONG _let_129 (MACRO_SR_PRED_INTRO :args ((= (not _let_116) _let_115))) :args _let_28)) :args ((or _let_115 _let_122))) _let_128 :args (_let_115 true _let_122)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_143 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_81 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_142)) :args _let_141))) _let_140 :args (_let_131 false _let_132)) :args (_let_130 false _let_115 false _let_131)) :args (_let_9 false _let_130)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_122 2)) (CONG _let_129 (MACRO_SR_PRED_INTRO :args ((= (not _let_117) _let_8))) :args _let_28)) :args ((or _let_8 _let_122))) _let_128 :args (_let_8 true _let_122)) _let_114 :args (false true _let_11 false _let_10 false _let_9 false _let_8 false _let_7)) :args (_let_6 _let_5 _let_4 (forall ((X16 $$unsorted) (X17 $$unsorted)) (exists ((Y23 $$unsorted)) (forall ((X18 $$unsorted)) (let ((_let_1 (= X18 Y23))) (let ((_let_2 (tptp.r4 X16 X17 X18))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))) _let_3 (forall ((X2 $$unsorted) (X9 $$unsorted)) (exists ((Y2 $$unsorted)) (and (exists ((Y3 $$unsorted)) (and (exists ((Y14 $$unsorted)) (and (tptp.r2 X9 Y14) (tptp.r4 X2 Y14 Y3))) (= Y3 Y2))) (exists ((Y6 $$unsorted)) (and (tptp.r3 Y6 X2 Y2) (tptp.r4 X2 X9 Y6)))))) (forall ((X3 $$unsorted) (X10 $$unsorted)) (or (forall ((Y12 $$unsorted)) (or (forall ((Y13 $$unsorted)) (or (not (tptp.r2 X3 Y13)) (not (= Y13 Y12)))) (not (tptp.r2 X10 Y12)))) (= X3 X10))) _let_2 (forall ((X5 $$unsorted)) (exists ((Y8 $$unsorted)) (and (exists ((Y17 $$unsorted)) (and (tptp.r1 Y17) (tptp.r4 X5 Y17 Y8))) (exists ((Y18 $$unsorted)) (and (tptp.r1 Y18) (= Y8 Y18)))))) (forall ((X6 $$unsorted)) (or (exists ((Y19 $$unsorted)) (and (tptp.r1 Y19) (= X6 Y19))) (exists ((Y1 $$unsorted) (Y11 $$unsorted)) (and (tptp.r2 Y1 Y11) (= X6 Y11))))) (forall ((X7 $$unsorted) (Y10 $$unsorted)) (or (forall ((Y20 $$unsorted)) (or (not (tptp.r1 Y20)) (not (= Y20 Y10)))) (not (tptp.r2 X7 Y10)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.66 )
% 0.22/0.66 % SZS output end Proof for NUN056+2
% 0.22/0.66 % cvc5---1.0.5 exiting
% 0.22/0.67 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------