%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUN059+2 : TPTP v8.1.2. Bugfixed v7.4.0.
% 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 12:46:19 EDT 2023

% Result   : Theorem 0.19s 0.55s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : NUN059+2 : TPTP v8.1.2. Bugfixed v7.4.0.
% 0.00/0.12  % Command    : do_cvc5 %s %d
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun Aug 27 09:32:52 EDT 2023
% 0.19/0.33  % CPUTime    : 
% 0.19/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.55  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.OXn9MniBgq/cvc5---1.0.5_20120.p...
% 0.19/0.55  ------- get file name : TPTP file name is NUN059+2
% 0.19/0.55  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_20120.smt2...
% 0.19/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.55  % SZS status Theorem for NUN059+2
% 0.19/0.55  % SZS output start Proof for NUN059+2
% 0.19/0.55  (
% 0.19/0.55  (let ((_let_1 (not (exists ((Y1 $$unsorted) (Y3 $$unsorted) (Y2 $$unsorted) (Y4 $$unsorted)) (and (exists ((Y5 $$unsorted)) (and (tptp.r4 Y2 Y2 Y5) (= Y4 Y5))) (exists ((Y6 $$unsorted)) (and (tptp.r4 Y3 Y3 Y6) (exists ((Y7 $$unsorted)) (and (tptp.r4 Y1 Y1 Y7) (tptp.r3 Y7 Y6 Y4)))))))))) (let ((_let_2 (forall ((X5 $$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 (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_5 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (not _let_7))) (let ((_let_9 (or _let_8 _let_8 _let_8 _let_6))) (let ((_let_10 (forall ((Y1 $$unsorted) (Y3 $$unsorted) (Y2 $$unsorted) (Y4 $$unsorted) (BOUND_VARIABLE_1358 $$unsorted) (BOUND_VARIABLE_1356 $$unsorted)) (or (not (tptp.r4 Y2 Y2 Y4)) (not (tptp.r4 Y3 Y3 BOUND_VARIABLE_1356)) (not (tptp.r4 Y1 Y1 BOUND_VARIABLE_1358)) (not (tptp.r3 BOUND_VARIABLE_1358 BOUND_VARIABLE_1356 Y4)))))) (let ((_let_11 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_13 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_15 (and _let_14 _let_12))) (let ((_let_16 (not _let_14))) (let ((_let_17 (or _let_16 _let_15))) (let ((_let_18 (forall ((BOUND_VARIABLE_813 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_813))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_813 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_19 (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_20 (not _let_18))) (let ((_let_21 (or _let_20 _let_19))) (let ((_let_22 (forall ((Y24 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_813 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_813))) (or (not _let_1) (and _let_1 (= Y24 BOUND_VARIABLE_813)))))) (not (tptp.r1 Y24)))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (or))) (let ((_let_26 (not _let_22))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG (REFL :args (_let_21)) (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_18))) :args _let_25)) :args ((or _let_18 _let_21))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_24) :args (_let_26)) (REWRITE :args ((=> _let_26 (not (or (not (forall ((BOUND_VARIABLE_813 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_813))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_813)))))) _let_19))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_22))) (REFL :args (_let_23)) :args _let_25)) _let_24 :args (_let_23 true _let_22)) :args (_let_18 true _let_21)))) (let ((_let_28 (_let_18))) (let ((_let_29 ((not (= (tptp.r1 BOUND_VARIABLE_813) false))))) (let ((_let_30 (ASSUME :args _let_28))) (let ((_let_31 (not _let_13))) (let ((_let_32 (or _let_16 _let_31))) (let ((_let_33 (forall ((BOUND_VARIABLE_1192 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1192)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1192 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_34 (not _let_32))) (let ((_let_35 (forall ((X4 $$unsorted)) (not (forall ((BOUND_VARIABLE_1192 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1192)) (not (tptp.r3 X4 BOUND_VARIABLE_1192 X4)))))))) (let ((_let_36 (not _let_33))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_39 (_let_36))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_39)) :args _let_39)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_33))) (REFL :args (_let_34)) :args _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args _let_38) :args (_let_35))) _let_37 :args (_let_36 false _let_35)) :args (_let_34 true _let_33)))) (let ((_let_41 (REFL :args (_let_32)))) (let ((_let_42 (and _let_13 _let_12))) (let ((_let_43 (_let_13 _let_12))) (let ((_let_44 (ASSUME :args (_let_13)))) (let ((_let_45 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_46 (ASSUME :args (_let_12)))) (let ((_let_47 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_48 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_49 (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_50 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_51 (and _let_50 _let_47))) (let ((_let_52 (not _let_50))) (let ((_let_53 (or _let_52 _let_51))) (let ((_let_54 (not _let_49))) (let ((_let_55 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_52 _let_54))) (let ((_let_58 (forall ((Y8 $$unsorted) (BOUND_VARIABLE_1246 $$unsorted)) (or (not (tptp.r1 Y8)) (not (tptp.r1 BOUND_VARIABLE_1246)) (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1246 Y8)))))) (let ((_let_59 (not _let_57))) (let ((_let_60 (forall ((X5 $$unsorted)) (not (forall ((Y8 $$unsorted) (BOUND_VARIABLE_1246 $$unsorted)) (or (not (tptp.r1 Y8)) (not (tptp.r1 BOUND_VARIABLE_1246)) (not (tptp.r4 X5 BOUND_VARIABLE_1246 Y8)))))))) (let ((_let_61 (not _let_58))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 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_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args _let_38) :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_55 _let_48))) (let ((_let_67 (or _let_56 _let_66))) (let ((_let_68 (and _let_49 _let_48 _let_47))) (let ((_let_69 (ASSUME :args (_let_49)))) (let ((_let_70 (ASSUME :args (_let_48)))) (let ((_let_71 (ASSUME :args (_let_47)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_9))) :args ((or _let_8 _let_6 (not _let_9)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_68)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_69 _let_71 _let_70) (SCOPE (TRUE_ELIM (TRANS (CONG _let_45 (SYMM (SYMM _let_71)) (SYMM (SYMM _let_70)) :args (APPLY_UF tptp.r4)) (TRUE_INTRO _let_69))) :args (_let_49 _let_47 _let_48))) :args (_let_49 _let_48 _let_47))) :args (true _let_68)) :args ((or _let_7 _let_54 (not _let_48) (not _let_47)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 2)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_49))) :args _let_25)) :args ((or _let_49 _let_57))) _let_64 :args (_let_49 true _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_66 1)) :args ((or _let_48 (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_56 _let_66 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 0)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) :args _let_25)) :args ((or _let_55 _let_57))) _let_64 :args (_let_55 true _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_28))) _let_27 :args (_let_67 false _let_18)) :args (_let_66 false _let_55 false _let_67)) :args (_let_48 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_51 1)) :args ((or _let_47 (not _let_51)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_51 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 1)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_50))) :args _let_25)) :args ((or _let_50 _let_57))) _let_64 :args (_let_50 true _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_28))) _let_27 :args (_let_53 false _let_18)) :args (_let_51 false _let_50 false _let_53)) :args (_let_47 false _let_51)) :args (_let_7 false _let_49 false _let_48 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_42)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_44 _let_46) (SCOPE (TRUE_ELIM (TRANS (CONG _let_45 (SYMM (SYMM _let_46)) _let_45 :args (APPLY_UF tptp.r3)) (TRUE_INTRO _let_44))) :args _let_43)) :args _let_43)) :args (true _let_42)) :args ((or _let_5 _let_31 (not _let_12)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 1)) (CONG _let_41 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_13))) :args _let_25)) :args ((or _let_13 _let_32))) _let_40 :args (_let_13 true _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_15 1)) :args ((or _let_12 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_16 _let_15 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 0)) (CONG _let_41 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_14))) :args _let_25)) :args ((or _let_14 _let_32))) _let_40 :args (_let_14 true _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_28))) _let_27 :args (_let_17 false _let_18)) :args (_let_15 false _let_14 false _let_17)) :args (_let_12 false _let_15)) :args (_let_5 false _let_13 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_11 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args (_let_10))) _let_11 :args (_let_9 false _let_10)) :args (false false _let_7 false _let_5 false _let_9)) :args (_let_4 (forall ((X11 $$unsorted)) (exists ((Y21 $$unsorted)) (forall ((X12 $$unsorted)) (let ((_let_1 (= X12 Y21))) (let ((_let_2 (tptp.r2 X11 X12))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))) (forall ((X13 $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.56  )
% 0.19/0.56  % SZS output end Proof for NUN059+2
% 0.19/0.56  % cvc5---1.0.5 exiting
% 0.19/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------