TSTP Solution File: NUN058+2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUN058+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 10.36s 10.88s
% Output : Proof 10.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN058+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 09:07:07 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 10.36/10.88 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.RXEy7Yo9H2/cvc5---1.0.5_15380.p...
% 10.36/10.88 ------- get file name : TPTP file name is NUN058+2
% 10.36/10.88 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15380.smt2...
% 10.36/10.88 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.36/10.88 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.36/10.88 % SZS status Theorem for NUN058+2
% 10.36/10.88 % SZS output start Proof for NUN058+2
% 10.36/10.88 (
% 10.36/10.88 (let ((_let_1 (not (exists ((Y1 $$unsorted)) (and (exists ((Y2 $$unsorted) (Y4 $$unsorted)) (and (exists ((Y6 $$unsorted)) (and (exists ((Y10 $$unsorted)) (and (tptp.r4 Y10 Y2 Y6) (exists ((Y12 $$unsorted)) (and (tptp.r2 Y12 Y10) (exists ((Y14 $$unsorted)) (and (tptp.r1 Y14) (tptp.r2 Y14 Y12))))))) (= Y6 Y1))) (exists ((Y8 $$unsorted)) (and (tptp.r3 Y2 Y4 Y8) (= Y8 Y1))))) (exists ((Y3 $$unsorted) (Y5 $$unsorted)) (and (= Y5 Y1) (exists ((Y7 $$unsorted)) (and (tptp.r3 Y3 Y7 Y5) (exists ((Y9 $$unsorted)) (and (tptp.r2 Y9 Y7) (exists ((Y11 $$unsorted)) (and (tptp.r2 Y11 Y9) (exists ((Y13 $$unsorted)) (and (tptp.r2 Y13 Y11) (exists ((Y15 $$unsorted)) (and (tptp.r1 Y15) (tptp.r2 Y15 Y13)))))))))))))))))) (let ((_let_2 (forall ((X5 $$unsorted)) (exists ((Y8 $$unsorted)) (and (exists ((Y17 $$unsorted)) (and (tptp.r1 Y17) (tptp.r4 X5 Y17 Y8))) (exists ((Y18 $$unsorted)) (and (tptp.r1 Y18) (= Y8 Y18)))))))) (let ((_let_3 (forall ((X4 $$unsorted)) (exists ((Y9 $$unsorted)) (and (exists ((Y16 $$unsorted)) (and (tptp.r1 Y16) (tptp.r3 X4 Y16 Y9))) (= Y9 X4)))))) (let ((_let_4 (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)))))))) (let ((_let_5 (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_6 (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 ((_let_7 (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_8 (forall ((X11 $$unsorted)) (exists ((Y21 $$unsorted)) (forall ((X12 $$unsorted)) (let ((_let_1 (= X12 Y21))) (let ((_let_2 (tptp.r2 X11 X12))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))))) (let ((_let_9 (exists ((Y24 $$unsorted)) (forall ((X19 $$unsorted)) (let ((_let_1 (= X19 Y24))) (let ((_let_2 (tptp.r1 X19))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1)))))))) (let ((_let_10 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_12 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_13 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))) (let ((_let_14 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65))) (let ((_let_15 (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_137 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_135))) (let ((_let_16 (not _let_11))) (let ((_let_17 (not _let_10))) (let ((_let_18 (not _let_12))) (let ((_let_19 (not _let_13))) (let ((_let_20 (not _let_14))) (let ((_let_21 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_135))) (let ((_let_22 (not _let_21))) (let ((_let_23 (not _let_15))) (let ((_let_24 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_137 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_134 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_135))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_18 _let_17 _let_16 _let_22 _let_20 _let_19 _let_18 _let_17 _let_16))) (let ((_let_27 (forall ((BOUND_VARIABLE_857 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_857))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_857 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_17))) (let ((_let_30 (forall ((Y24 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_857 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_857))) (or (not _let_1) (and _let_1 (= Y24 BOUND_VARIABLE_857)))))) (not (tptp.r1 Y24)))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (or))) (let ((_let_34 (not _let_30))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_32) :args (_let_34)) (REWRITE :args ((=> _let_34 (not (or (not (forall ((BOUND_VARIABLE_857 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_857))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_857)))))) _let_17))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_30))) (REFL :args (_let_31)) :args _let_33)) _let_32 :args (_let_31 true _let_30)))) (let ((_let_36 (REFL :args (_let_29)))) (let ((_let_37 (forall ((BOUND_VARIABLE_904 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_904))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_904 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))))))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_16))) (let ((_let_40 (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_904 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_904))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_904)))))) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y21)))))) (let ((_let_41 (not _let_39))) (let ((_let_42 (forall ((X11 $$unsorted)) (not (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_904 $$unsorted)) (let ((_let_1 (tptp.r2 X11 BOUND_VARIABLE_904))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_904)))))) (not (tptp.r2 X11 Y21)))))))) (let ((_let_43 (not _let_40))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_42))) (let ((_let_46 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_47 (_let_43))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_47)) :args _let_47) (REWRITE :args ((=> _let_43 (not (or (not (forall ((BOUND_VARIABLE_904 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_904))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_904)))))) _let_16))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_40))) (REFL :args (_let_41)) :args _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args _let_46) :args _let_45)) _let_44 :args (_let_43 false _let_42)) :args (_let_41 true _let_40)))) (let ((_let_49 (REFL :args (_let_39)))) (let ((_let_50 (forall ((BOUND_VARIABLE_904 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_904))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_904 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))))))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_18))) (let ((_let_53 (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_904 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_904))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_904)))))) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 Y21)))))) (let ((_let_54 (not _let_52))) (let ((_let_55 (not _let_53))) (let ((_let_56 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_ENUM))) (let ((_let_57 (_let_55))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_57)) :args _let_57) (REWRITE :args ((=> _let_55 (not (or (not (forall ((BOUND_VARIABLE_904 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_904))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 BOUND_VARIABLE_904)))))) _let_18))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_53))) (REFL :args (_let_54)) :args _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args _let_56) :args _let_45)) _let_44 :args (_let_55 false _let_42)) :args (_let_54 true _let_53)))) (let ((_let_59 (REFL :args (_let_52)))) (let ((_let_60 (forall ((BOUND_VARIABLE_904 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 BOUND_VARIABLE_904))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_904 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))))))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_19))) (let ((_let_63 (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_904 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 BOUND_VARIABLE_904))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_904)))))) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 Y21)))))) (let ((_let_64 (not _let_62))) (let ((_let_65 (not _let_63))) (let ((_let_66 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_ENUM))) (let ((_let_67 (_let_65))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_67)) :args _let_67) (REWRITE :args ((=> _let_65 (not (or (not (forall ((BOUND_VARIABLE_904 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 BOUND_VARIABLE_904))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 BOUND_VARIABLE_904)))))) _let_19))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_63))) (REFL :args (_let_64)) :args _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args _let_66) :args _let_45)) _let_44 :args (_let_65 false _let_42)) :args (_let_64 true _let_63)))) (let ((_let_69 (REFL :args (_let_62)))) (let ((_let_70 (forall ((BOUND_VARIABLE_904 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 BOUND_VARIABLE_904))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_904 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65))))))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_20))) (let ((_let_73 (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_904 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 BOUND_VARIABLE_904))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_904)))))) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 Y21)))))) (let ((_let_74 (not _let_72))) (let ((_let_75 (not _let_73))) (let ((_let_76 (_let_75))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_76)) :args _let_76) (REWRITE :args ((=> _let_75 (not (or (not (forall ((BOUND_VARIABLE_904 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 BOUND_VARIABLE_904))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 BOUND_VARIABLE_904)))))) _let_20))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_73))) (REFL :args (_let_74)) :args _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 QUANTIFIERS_INST_ENUM)) :args _let_45)) _let_44 :args (_let_75 false _let_42)) :args (_let_74 true _let_73)))) (let ((_let_78 (REFL :args (_let_72)))) (let ((_let_79 (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_136))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_136 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_135))) (let ((_let_82 (not _let_81))) (let ((_let_83 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_137))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_84 _let_23 _let_82 _let_80))) (let ((_let_86 (forall ((Y2 $$unsorted) (BOUND_VARIABLE_1177 $$unsorted) (BOUND_VARIABLE_1170 $$unsorted)) (or (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_1170)) (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 BOUND_VARIABLE_1170 Y2)) (not (tptp.r3 BOUND_VARIABLE_1177 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 Y2)) (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_1177)))))) (let ((_let_87 (not _let_85))) (let ((_let_88 (forall ((X2 $$unsorted) (X9 $$unsorted)) (not (forall ((Y2 $$unsorted) (BOUND_VARIABLE_1177 $$unsorted) (BOUND_VARIABLE_1170 $$unsorted)) (or (not (tptp.r2 X9 BOUND_VARIABLE_1170)) (not (tptp.r4 X2 BOUND_VARIABLE_1170 Y2)) (not (tptp.r3 BOUND_VARIABLE_1177 X2 Y2)) (not (tptp.r4 X2 X9 BOUND_VARIABLE_1177)))))))) (let ((_let_89 (not _let_86))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (_let_88))) (let ((_let_92 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_ENUM))) (let ((_let_93 (_let_89))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_93)) :args _let_93)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_89) _let_86))) (REFL :args (_let_87)) :args _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args _let_92) :args _let_91)) _let_90 :args (_let_89 false _let_88)) :args (_let_87 true _let_86)))) (let ((_let_95 (REFL :args (_let_85)))) (let ((_let_96 (forall ((Y1 $$unsorted) (BOUND_VARIABLE_1687 $$unsorted) (BOUND_VARIABLE_1685 $$unsorted) (BOUND_VARIABLE_1683 $$unsorted) (BOUND_VARIABLE_1681 $$unsorted) (BOUND_VARIABLE_1679 $$unsorted) (BOUND_VARIABLE_1677 $$unsorted) (BOUND_VARIABLE_1664 $$unsorted) (BOUND_VARIABLE_1662 $$unsorted) (BOUND_VARIABLE_1660 $$unsorted) (BOUND_VARIABLE_1658 $$unsorted) (BOUND_VARIABLE_1656 $$unsorted)) (or (not (tptp.r3 BOUND_VARIABLE_1656 BOUND_VARIABLE_1658 Y1)) (not (tptp.r4 BOUND_VARIABLE_1660 BOUND_VARIABLE_1656 Y1)) (not (tptp.r2 BOUND_VARIABLE_1664 BOUND_VARIABLE_1660)) (not (tptp.r1 BOUND_VARIABLE_1662)) (not (tptp.r2 BOUND_VARIABLE_1662 BOUND_VARIABLE_1664)) (not (tptp.r3 BOUND_VARIABLE_1677 BOUND_VARIABLE_1687 Y1)) (not (tptp.r2 BOUND_VARIABLE_1679 BOUND_VARIABLE_1687)) (not (tptp.r2 BOUND_VARIABLE_1685 BOUND_VARIABLE_1679)) (not (tptp.r2 BOUND_VARIABLE_1681 BOUND_VARIABLE_1685)) (not (tptp.r1 BOUND_VARIABLE_1683)) (not (tptp.r2 BOUND_VARIABLE_1683 BOUND_VARIABLE_1681)))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_129 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_164))) (let ((_let_99 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_166))) (let ((_let_100 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_166 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_164))) (let ((_let_101 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_135 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_146))) (let ((_let_102 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_132 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_let_143))) _let_142 :args (_let_129 false _let_130)) :args (_let_127 false _let_126 false _let_129)) :args (_let_119 false _let_127)) :args (_let_104 false _let_125 false _let_124 false _let_123 false _let_122 false _let_121 false _let_120 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_164 QUANTIFIERS_INST_CBQI_PROP)) :args _let_117))) _let_116 :args (_let_107 false _let_108)) :args (_let_105 false _let_104 false _let_107)) :args (_let_98 false _let_105)) :args (_let_21 false _let_103 false _let_102 false _let_101 false _let_100 false _let_99 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_135 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_134 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_137 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_96))) _let_97 :args (_let_26 false _let_96)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_85 1)) (CONG _let_95 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_15))) :args _let_33)) :args ((or _let_15 _let_85))) _let_94 :args (_let_15 true _let_85)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 1)) (CONG _let_78 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_14))) :args _let_33)) :args ((or _let_14 _let_72))) _let_77 :args (_let_14 true _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 1)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_13))) :args _let_33)) :args ((or _let_13 _let_62))) _let_68 :args (_let_13 true _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 1)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_12))) :args _let_33)) :args ((or _let_12 _let_52))) _let_58 :args (_let_12 true _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 1)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_11))) :args _let_33)) :args ((or _let_11 _let_39))) _let_48 :args (_let_11 true _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 1)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_10))) :args _let_33)) :args ((or _let_10 _let_29))) _let_35 :args (_let_10 true _let_29)) :args (false false _let_24 false _let_21 false _let_26 false _let_15 false _let_14 false _let_13 false _let_12 false _let_11 false _let_10)) :args (_let_9 _let_8 _let_7 _let_6 _let_5 _let_4 (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_3 _let_2 (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.36/10.88 )
% 10.36/10.88 % SZS output end Proof for NUN058+2
% 10.36/10.88 % cvc5---1.0.5 exiting
% 10.36/10.88 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------