TSTP Solution File: NUN076+2 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUN076+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 12:46:25 EDT 2023
% Result : Theorem 0.18s 0.60s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUN076+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.12 % Command : do_cvc5 %s %d
% 0.11/0.33 % Computer : n001.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sun Aug 27 10:33:02 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.18/0.46 %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.60 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.FAqvsBiC4N/cvc5---1.0.5_2214.p...
% 0.18/0.60 ------- get file name : TPTP file name is NUN076+2
% 0.18/0.60 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2214.smt2...
% 0.18/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.60 % SZS status Theorem for NUN076+2
% 0.18/0.60 % SZS output start Proof for NUN076+2
% 0.18/0.60 (
% 0.18/0.60 (let ((_let_1 (not (exists ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted)) (and (exists ((Y4 $$unsorted)) (and (= Y4 Y1) (exists ((Y6 $$unsorted)) (and (tptp.r4 Y6 Y2 Y4) (exists ((Y7 $$unsorted)) (and (tptp.r2 Y7 Y6) (exists ((Y8 $$unsorted)) (and (tptp.r1 Y8) (tptp.r2 Y8 Y7))))))))) (exists ((Y5 $$unsorted)) (and (tptp.r3 Y2 Y3 Y5) (= Y5 Y1)))))))) (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 $$unsorted)) (and (tptp.r1 Y16) (tptp.r3 X4 Y16 Y9))) (= Y9 X4)))))) (let ((_let_4 (forall ((X11 $$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_5 (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_6 (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_84))) (let ((_let_8 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_84))) (let ((_let_9 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85))) (let ((_let_10 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37))) (let ((_let_15 (not _let_14))) (let ((_let_16 (not _let_6))) (let ((_let_17 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16 _let_15 _let_13 _let_11))) (let ((_let_20 (forall ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted) (BOUND_VARIABLE_1435 $$unsorted) (BOUND_VARIABLE_1433 $$unsorted) (BOUND_VARIABLE_1431 $$unsorted)) (or (not (tptp.r3 Y2 Y3 Y1)) (not (tptp.r4 BOUND_VARIABLE_1435 Y2 Y1)) (not (tptp.r2 BOUND_VARIABLE_1431 BOUND_VARIABLE_1435)) (not (tptp.r1 BOUND_VARIABLE_1433)) (not (tptp.r2 BOUND_VARIABLE_1433 BOUND_VARIABLE_1431)))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (or (not (forall ((BOUND_VARIABLE_869 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_869))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_869 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37)))))) _let_15))) (let ((_let_23 (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_869 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_869))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_869)))))) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 Y21)))))) (let ((_let_24 (not _let_22))) (let ((_let_25 (forall ((X11 $$unsorted)) (not (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_869 $$unsorted)) (let ((_let_1 (tptp.r2 X11 BOUND_VARIABLE_869))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_869)))))) (not (tptp.r2 X11 Y21)))))))) (let ((_let_26 (not _let_23))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (_let_25))) (let ((_let_29 (or))) (let ((_let_30 (_let_26))) (let ((_let_31 (or (not (forall ((BOUND_VARIABLE_869 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_869))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_869 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)))))) _let_11))) (let ((_let_32 (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_869 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_869))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_869)))))) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y21)))))) (let ((_let_33 (not _let_31))) (let ((_let_34 (not _let_32))) (let ((_let_35 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_36 (_let_34))) (let ((_let_37 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_38 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_39 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_40 (and _let_39 _let_37))) (let ((_let_41 (not _let_39))) (let ((_let_42 (or _let_41 _let_40))) (let ((_let_43 (forall ((BOUND_VARIABLE_822 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_822))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_822 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_13))) (let ((_let_46 (forall ((Y24 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_822 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_822))) (or (not _let_1) (and _let_1 (= Y24 BOUND_VARIABLE_822)))))) (not (tptp.r1 Y24)))))) (let ((_let_47 (not _let_45))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (not _let_46))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_48) :args (_let_49)) (REWRITE :args ((=> _let_49 (not (or (not (forall ((BOUND_VARIABLE_822 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_822))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_822)))))) _let_13))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_46))) (REFL :args (_let_47)) :args _let_29)) _let_48 :args (_let_47 true _let_46)))) (let ((_let_51 (REFL :args (_let_45)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 0)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_29)) :args ((or _let_43 _let_45))) _let_50 :args (_let_43 true _let_45)))) (let ((_let_53 (_let_43))) (let ((_let_54 ((not (= (tptp.r1 BOUND_VARIABLE_822) false))))) (let ((_let_55 (ASSUME :args _let_53))) (let ((_let_56 (not _let_38))) (let ((_let_57 (or _let_41 _let_56))) (let ((_let_58 (forall ((BOUND_VARIABLE_1201 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1201)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1201 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_59 (not _let_57))) (let ((_let_60 (forall ((X4 $$unsorted)) (not (forall ((BOUND_VARIABLE_1201 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1201)) (not (tptp.r3 X4 BOUND_VARIABLE_1201 X4)))))))) (let ((_let_61 (not _let_58))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (_let_61))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_63)) :args _let_63)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_58))) (REFL :args (_let_59)) :args _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args _let_35) :args (_let_60))) _let_62 :args (_let_61 false _let_60)) :args (_let_59 true _let_58)))) (let ((_let_65 (REFL :args (_let_57)))) (let ((_let_66 (and _let_38 _let_37))) (let ((_let_67 (_let_38 _let_37))) (let ((_let_68 (ASSUME :args (_let_38)))) (let ((_let_69 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_70 (ASSUME :args (_let_37)))) (let ((_let_71 (not _let_7))) (let ((_let_72 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_84))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_75 _let_73 _let_71))) (let ((_let_77 (forall ((Y8 $$unsorted) (BOUND_VARIABLE_1255 $$unsorted)) (or (not (tptp.r1 Y8)) (not (tptp.r1 BOUND_VARIABLE_1255)) (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 BOUND_VARIABLE_1255 Y8)))))) (let ((_let_78 (not _let_76))) (let ((_let_79 (forall ((X5 $$unsorted)) (not (forall ((Y8 $$unsorted) (BOUND_VARIABLE_1255 $$unsorted)) (or (not (tptp.r1 Y8)) (not (tptp.r1 BOUND_VARIABLE_1255)) (not (tptp.r4 X5 BOUND_VARIABLE_1255 Y8)))))))) (let ((_let_80 (not _let_77))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (_let_80))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_82)) :args _let_82)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_80) _let_77))) (REFL :args (_let_78)) :args _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 QUANTIFIERS_INST_ENUM)) :args (_let_79))) _let_81 :args (_let_80 false _let_79)) :args (_let_78 true _let_77)))) (let ((_let_84 (REFL :args (_let_76)))) (let ((_let_85 (and _let_74 _let_8))) (let ((_let_86 (or _let_75 _let_85))) (let ((_let_87 (and _let_72 _let_9))) (let ((_let_88 (or _let_73 _let_87))) (let ((_let_89 (ASSUME :args (_let_16)))) (let ((_let_90 (ASSUME :args (_let_8)))) (let ((_let_91 (ASSUME :args (_let_9)))) (let ((_let_92 (ASSUME :args (_let_7)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_91 _let_90 _let_92 _let_89) :args (_let_16 _let_7 _let_8 _let_9)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_92)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37)) (SYMM _let_91) (SYMM _let_90) :args (APPLY_UF tptp.r4)) (FALSE_INTRO _let_89))) :args (_let_9 _let_8 _let_7 _let_16)) :args ((not (and _let_16 _let_7 _let_8 _let_9)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_6))) (REFL :args (_let_71)) (REFL :args ((not _let_8))) (REFL :args ((not _let_9))) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_87 1)) :args ((or _let_9 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_73 _let_87 (not _let_88)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 1)) (CONG _let_84 (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_72))) :args _let_29)) :args ((or _let_72 _let_76))) _let_83 :args (_let_72 true _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_54)) :args _let_53))) _let_52 :args (_let_88 false _let_43)) :args (_let_87 false _let_72 false _let_88)) :args (_let_9 false _let_87)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_85 1)) :args ((or _let_8 (not _let_85)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_75 _let_85 (not _let_86)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 0)) (CONG _let_84 (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_74))) :args _let_29)) :args ((or _let_74 _let_76))) _let_83 :args (_let_74 true _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_84 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_54)) :args _let_53))) _let_52 :args (_let_86 false _let_43)) :args (_let_85 false _let_74 false _let_86)) :args (_let_8 false _let_85)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 2)) (CONG _let_84 (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_7))) :args _let_29)) :args ((or _let_7 _let_76))) _let_83 :args (_let_7 true _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_13 _let_18 _let_11 _let_15 _let_16 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 1)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_29)) :args ((or _let_12 _let_45))) _let_50 :args (_let_12 true _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_66)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_68 _let_70) (SCOPE (TRUE_ELIM (TRANS (CONG _let_69 (SYMM (SYMM _let_70)) _let_69 :args (APPLY_UF tptp.r3)) (TRUE_INTRO _let_68))) :args _let_67)) :args _let_67)) :args (true _let_66)) :args ((or _let_17 _let_56 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 1)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_38))) :args _let_29)) :args ((or _let_38 _let_57))) _let_64 :args (_let_38 true _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_40 1)) :args ((or _let_37 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_40 (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 0)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_39))) :args _let_29)) :args ((or _let_39 _let_57))) _let_64 :args (_let_39 true _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_54)) :args _let_53))) _let_52 :args (_let_42 false _let_43)) :args (_let_40 false _let_39 false _let_42)) :args (_let_37 false _let_40)) :args (_let_17 false _let_38 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 1)) (CONG (REFL :args (_let_31)) (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_29)) :args ((or _let_10 _let_31))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_36)) :args _let_36) (REWRITE :args ((=> _let_34 (not (or (not (forall ((BOUND_VARIABLE_869 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_869))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_869)))))) _let_11))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_32))) (REFL :args (_let_33)) :args _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args _let_35) :args _let_28)) _let_27 :args (_let_34 false _let_25)) :args (_let_33 true _let_32)) :args (_let_10 true _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 1)) (CONG (REFL :args (_let_22)) (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_29)) :args ((or _let_14 _let_22))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_30)) :args _let_30) (REWRITE :args ((=> _let_26 (not (or (not (forall ((BOUND_VARIABLE_869 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_869))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 BOUND_VARIABLE_869)))))) _let_15))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_23))) (REFL :args (_let_24)) :args _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_ENUM)) :args _let_28)) _let_27 :args (_let_26 false _let_25)) :args (_let_24 true _let_23)) :args (_let_14 true _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.r3 Y2 Y3 Y1) false)) (not (= (tptp.r2 BOUND_VARIABLE_1431 BOUND_VARIABLE_1435) false)) (not (= (tptp.r1 BOUND_VARIABLE_1433) false))))) :args (_let_20))) _let_21 :args (_let_19 false _let_20)) :args (_let_16 false _let_12 false _let_17 false _let_10 false _let_14 false _let_19)) :args (false false _let_9 false _let_8 false _let_7 true _let_6)) :args (_let_5 _let_4 (forall ((X13 $$unsorted) (X14 $$unsorted)) (exists ((Y22 $$unsorted)) (forall ((X15 $$unsorted)) (let ((_let_1 (= X15 Y22))) (let ((_let_2 (tptp.r3 X13 X14 X15))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))) (forall ((X16 $$unsorted) (X17 $$unsorted)) (exists ((Y23 $$unsorted)) (forall ((X18 $$unsorted)) (let ((_let_1 (= X18 Y23))) (let ((_let_2 (tptp.r4 X16 X17 X18))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))) (forall ((X1 $$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 $$unsorted)) (and (tptp.r2 Y7 Y4) (tptp.r3 X1 X8 Y7)))))) (forall ((X2 $$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 $$unsorted)) (or (not (tptp.r2 X3 Y13)) (not (= Y13 Y12)))) (not (tptp.r2 X10 Y12)))) (= X3 X10))) _let_3 _let_2 (forall ((X6 $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.18/0.61 )
% 0.18/0.61 % SZS output end Proof for NUN076+2
% 0.18/0.61 % cvc5---1.0.5 exiting
% 0.18/0.61 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------