%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUN075+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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 12:46:24 EDT 2023

% Result   : Theorem 21.13s 21.32s
% Output   : Proof 21.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUN075+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun Aug 27 09:26:57 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 21.13/21.32  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.dV7smvgxaY/cvc5---1.0.5_2391.p...
% 21.13/21.32  ------- get file name : TPTP file name is NUN075+2
% 21.13/21.32  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2391.smt2...
% 21.13/21.32  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 21.13/21.32  --- Run --no-e-matching --full-saturate-quant at 5...
% 21.13/21.32  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 21.13/21.32  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 21.13/21.32  % SZS status Theorem for NUN075+2
% 21.13/21.32  % SZS output start Proof for NUN075+2
% 21.13/21.32  (
% 21.13/21.32  (let ((_let_1 (not (exists ((Y1 $$unsorted)) (and (exists ((Y2 $$unsorted)) (and (= Y1 Y2) (exists ((Y3 $$unsorted)) (and (tptp.r2 Y3 Y2) (exists ((Y4 $$unsorted)) (and (tptp.r2 Y4 Y3) (exists ((Y6 $$unsorted)) (and (tptp.r2 Y6 Y4) (exists ((Y8 $$unsorted)) (and (tptp.r2 Y8 Y6) (exists ((Y10 $$unsorted)) (and (tptp.r2 Y10 Y8) (exists ((Y12 $$unsorted)) (and (tptp.r2 Y12 Y10) (exists ((Y14 $$unsorted)) (and (tptp.r2 Y14 Y12) (exists ((Y17 $$unsorted)) (and (tptp.r2 Y17 Y14) (exists ((Y20 $$unsorted)) (and (tptp.r1 Y20) (tptp.r2 Y20 Y17))))))))))))))))))))) (exists ((Y5 $$unsorted)) (and (exists ((Y16 $$unsorted)) (and (tptp.r3 Y5 Y16 Y1) (exists ((Y19 $$unsorted)) (and (tptp.r2 Y19 Y16) (exists ((Y22 $$unsorted)) (and (tptp.r1 Y22) (tptp.r2 Y22 Y19))))))) (exists ((Y7 $$unsorted)) (and (tptp.r2 Y7 Y5) (exists ((Y9 $$unsorted)) (and (tptp.r2 Y9 Y7) (exists ((Y11 $$unsorted)) (and (tptp.r2 Y11 Y9) (exists ((Y13 $$unsorted)) (and (tptp.r2 Y13 Y11) (exists ((Y15 $$unsorted)) (and (tptp.r2 Y15 Y13) (exists ((Y18 $$unsorted)) (and (tptp.r2 Y18 Y15) (exists ((Y21 $$unsorted)) (and (tptp.r1 Y21) (tptp.r2 Y21 Y18)))))))))))))))))))))) (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 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_9 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_10 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40))) (let ((_let_11 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69))) (let ((_let_12 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_96 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95))) (let ((_let_13 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40))) (let ((_let_14 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41))) (let ((_let_15 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99))) (let ((_let_16 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_98))) (let ((_let_17 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102))) (let ((_let_18 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_96))) (let ((_let_19 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101))) (let ((_let_20 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_98 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95))) (let ((_let_21 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_319))) (let ((_let_22 (not _let_8))) (let ((_let_23 (not _let_7))) (let ((_let_24 (not _let_14))) (let ((_let_25 (not _let_10))) (let ((_let_26 (not _let_17))) (let ((_let_27 (not _let_15))) (let ((_let_28 (not _let_18))) (let ((_let_29 (not _let_12))) (let ((_let_30 (not _let_9))) (let ((_let_31 (not _let_21))) (let ((_let_32 (not _let_13))) (let ((_let_33 (not _let_11))) (let ((_let_34 (not _let_19))) (let ((_let_35 (not _let_16))) (let ((_let_36 (not _let_20))) (let ((_let_37 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_316))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_316 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_319))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_38 _let_36 _let_35 _let_34 _let_33 _let_32 _let_30 _let_23 _let_22 _let_31 _let_30 _let_23 _let_22 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22))) (let ((_let_42 (forall ((BOUND_VARIABLE_900 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_900))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_900 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_23))) (let ((_let_45 (forall ((Y24 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_900 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_900))) (or (not _let_1) (and _let_1 (= Y24 BOUND_VARIABLE_900)))))) (not (tptp.r1 Y24)))))) (let ((_let_46 (not _let_44))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (or))) (let ((_let_49 (not _let_45))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_47) :args (_let_49)) (REWRITE :args ((=> _let_49 (not (or (not (forall ((BOUND_VARIABLE_900 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_900))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_900)))))) _let_23))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_45))) (REFL :args (_let_46)) :args _let_48)) _let_47 :args (_let_46 true _let_45)))) (let ((_let_51 (REFL :args (_let_44)))) (let ((_let_52 (forall ((BOUND_VARIABLE_947 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_947))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_947 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))))))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_22))) (let ((_let_55 (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_947 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_947))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_947)))))) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y21)))))) (let ((_let_56 (not _let_54))) (let ((_let_57 (forall ((X11 $$unsorted)) (not (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_947 $$unsorted)) (let ((_let_1 (tptp.r2 X11 BOUND_VARIABLE_947))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_947)))))) (not (tptp.r2 X11 Y21)))))))) (let ((_let_58 (not _let_55))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (_let_57))) (let ((_let_61 (_let_58))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_61)) :args _let_61) (REWRITE :args ((=> _let_58 (not (or (not (forall ((BOUND_VARIABLE_947 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_947))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_947)))))) _let_22))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_55))) (REFL :args (_let_56)) :args _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_60)) _let_59 :args (_let_58 false _let_57)) :args (_let_56 true _let_55)))) (let ((_let_63 (REFL :args (_let_54)))) (let ((_let_64 (forall ((BOUND_VARIABLE_947 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_947))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_947 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))))))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_30))) (let ((_let_67 (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_947 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_947))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_947)))))) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 Y21)))))) (let ((_let_68 (not _let_66))) (let ((_let_69 (not _let_67))) (let ((_let_70 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_71 (_let_69))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_71)) :args _let_71) (REWRITE :args ((=> _let_69 (not (or (not (forall ((BOUND_VARIABLE_947 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_947))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 BOUND_VARIABLE_947)))))) _let_30))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_67))) (REFL :args (_let_68)) :args _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args _let_70) :args _let_60)) _let_59 :args (_let_69 false _let_57)) :args (_let_68 true _let_67)))) (let ((_let_73 (REFL :args (_let_66)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 1)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_9))) :args _let_48)) :args ((or _let_9 _let_66))) _let_72 :args (_let_9 true _let_66)))) (let ((_let_75 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_80 _let_78 _let_25 _let_76))) (let ((_let_82 (forall ((Y4 $$unsorted) (BOUND_VARIABLE_1143 $$unsorted) (BOUND_VARIABLE_1136 $$unsorted)) (or (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_1136)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_1136 Y4)) (not (tptp.r2 BOUND_VARIABLE_1143 Y4)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_1143)))))) (let ((_let_83 (not _let_81))) (let ((_let_84 (forall ((X1 $$unsorted) (X8 $$unsorted)) (not (forall ((Y4 $$unsorted) (BOUND_VARIABLE_1143 $$unsorted) (BOUND_VARIABLE_1136 $$unsorted)) (or (not (tptp.r2 X8 BOUND_VARIABLE_1136)) (not (tptp.r3 X1 BOUND_VARIABLE_1136 Y4)) (not (tptp.r2 BOUND_VARIABLE_1143 Y4)) (not (tptp.r3 X1 X8 BOUND_VARIABLE_1143)))))))) (let ((_let_85 (not _let_82))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (_let_84))) (let ((_let_88 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_89 (_let_85))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_89)) :args _let_89)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_82))) (REFL :args (_let_83)) :args _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args _let_88) :args _let_87)) _let_86 :args (_let_85 false _let_84)) :args (_let_83 true _let_82)))) (let ((_let_91 (REFL :args (_let_81)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_81 2)) (CONG _let_91 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_10))) :args _let_48)) :args ((or _let_10 _let_81))) _let_90 :args (_let_10 true _let_81)))) (let ((_let_93 (forall ((BOUND_VARIABLE_947 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 BOUND_VARIABLE_947))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_947 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69))))))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_94 _let_33))) (let ((_let_96 (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_947 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 BOUND_VARIABLE_947))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_947)))))) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 Y21)))))) (let ((_let_97 (not _let_95))) (let ((_let_98 (not _let_96))) (let ((_let_99 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_100 (_let_98))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_100)) :args _let_100) (REWRITE :args ((=> _let_98 (not (or (not (forall ((BOUND_VARIABLE_947 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 BOUND_VARIABLE_947))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 BOUND_VARIABLE_947)))))) _let_33))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_98) _let_96))) (REFL :args (_let_97)) :args _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args _let_99) :args _let_60)) _let_59 :args (_let_98 false _let_57)) :args (_let_97 true _let_96)))) (let ((_let_102 (REFL :args (_let_95)))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_95 1)) (CONG _let_102 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_11))) :args _let_48)) :args ((or _let_11 _let_95))) _let_101 :args (_let_11 true _let_95)))) (let ((_let_104 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_96))) (let ((_let_105 (not _let_104))) (let ((_let_106 (or (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_97)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_97 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95)) _let_29 _let_105))) (let ((_let_107 (forall ((Y4 $$unsorted) (BOUND_VARIABLE_1143 $$unsorted) (BOUND_VARIABLE_1136 $$unsorted)) (or (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 BOUND_VARIABLE_1136)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 BOUND_VARIABLE_1136 Y4)) (not (tptp.r2 BOUND_VARIABLE_1143 Y4)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 BOUND_VARIABLE_1143)))))) (let ((_let_108 (not _let_106))) (let ((_let_109 (not _let_107))) (let ((_let_110 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_111 (_let_109))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_111)) :args _let_111)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_109) _let_107))) (REFL :args (_let_108)) :args _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args _let_110) :args _let_87)) _let_86 :args (_let_109 false _let_84)) :args (_let_108 true 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(MACRO_SR_PRED_INTRO :args ((= (not _let_80) _let_79))) :args _let_48)) :args ((or _let_79 _let_81))) _let_90 :args (_let_79 true _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_125 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 QUANTIFIERS_INST_CBQI_PROP)) :args _let_123))) _let_122 :args (_let_515 false _let_64)) :args (_let_514 false _let_79 false _let_515)) :args (_let_513 false _let_514)) :args (_let_509 false _let_77 false _let_513)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_496 :args _let_344) :args _let_495)) _let_494 :args (_let_512 false _let_485)) :args (_let_510 false _let_509 false _let_512)) :args (_let_479 false _let_510)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_482 1)) :args ((or _let_478 (not _let_482)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_484)) :args ((or _let_483 _let_482 (not _let_484)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_502 3)) (CONG _let_508 (MACRO_SR_PRED_INTRO :args ((= (not _let_483) _let_481))) :args _let_48)) :args ((or _let_481 _let_502))) _let_507 :args (_let_481 true _let_502)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_496 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_123 QUANTIFIERS_INST_CBQI_PROP)) :args _let_495))) _let_494 :args (_let_484 false _let_485)) :args (_let_482 false _let_481 false _let_484)) :args (_let_478 false _let_482)) :args (_let_473 false _let_480 false _let_479 false _let_478)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_325 :args _let_477) :args _let_323))) _let_322 :args (_let_476 false _let_93)) :args (_let_474 false _let_473 false _let_476)) :args (_let_470 false _let_474)) _let_386 :args (_let_19 false _let_242 false _let_317 false _let_472 false _let_471 false _let_316 false _let_470 false _let_315)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_465)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_312 _let_466 _let_468) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99)) (TRANS (SYMM _let_469) (SYMM _let_467)) :args _let_193) _let_313)) :args (_let_287 _let_421 _let_422))) :args (_let_287 _let_422 _let_421))) :args (true _let_465)) _let_309 _let_464 _let_461 :args (_let_18 false _let_287 false _let_422 false _let_421)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_413)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_414 _let_415 _let_417 _let_419) (SCOPE (TRUE_ELIM (TRANS (CONG _let_230 (TRANS (SYMM _let_420) (SYMM _let_418) (SYMM _let_416)) :args _let_193) (TRUE_INTRO _let_414))) :args (_let_11 _let_315 _let_316 _let_317))) :args (_let_11 _let_317 _let_316 _let_315))) :args (true _let_413)) _let_103 _let_412 _let_409 _let_386 :args (_let_17 false _let_11 false _let_317 false _let_316 false _let_315)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_310)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_312 _let_307 _let_305) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_306 _let_308) _let_314 :args _let_193) _let_313)) :args _let_311)) :args _let_311)) :args (true _let_310)) _let_309 _let_300 _let_282 :args (_let_16 false _let_287 false _let_241 false _let_240)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_302)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_303 _let_305 _let_307) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102)) (TRANS (SYMM _let_308) (SYMM _let_306)) :args _let_193) _let_304)) :args (_let_242 _let_240 _let_241))) :args (_let_242 _let_241 _let_240))) :args (true _let_302)) _let_301 _let_300 _let_282 :args (_let_15 false _let_242 false _let_241 false _let_240)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_238)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_239 _let_235 _let_233 _let_231) (SCOPE (TRUE_ELIM (TRANS (CONG _let_172 (TRANS (SYMM _let_232) (SYMM _let_234) (SYMM _let_236)) :args _let_193) (TRUE_INTRO _let_239))) :args (_let_9 _let_115 _let_116 _let_117))) :args (_let_9 _let_117 _let_116 _let_115))) :args (true _let_238)) _let_74 _let_226 _let_223 _let_197 :args (_let_14 false _let_9 false _let_117 false _let_116 false _let_115)) _let_237 _let_114 _let_103 _let_92 _let_74 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_54 1)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_8))) :args _let_48)) :args ((or _let_8 _let_54))) _let_62 :args (_let_8 true _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 1)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_7))) :args _let_48)) :args ((or _let_7 _let_44))) _let_50 :args (_let_7 true _let_44)) :args (false false _let_39 false _let_37 false _let_41 false _let_21 false _let_20 false _let_19 false _let_18 false _let_17 false _let_16 false _let_15 false _let_14 false _let_13 false _let_12 false _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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 21.13/21.33  )
% 21.13/21.33  % SZS output end Proof for NUN075+2
% 21.13/21.33  % cvc5---1.0.5 exiting
% 21.13/21.33  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------