%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUN066+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 12:46:21 EDT 2023

% Result   : Theorem 0.20s 0.57s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NUN066+2 : TPTP v8.1.2. Released v7.3.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n004.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 09:54:22 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.57  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.gq81HA2qvQ/cvc5---1.0.5_9783.p...
% 0.20/0.57  ------- get file name : TPTP file name is NUN066+2
% 0.20/0.57  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9783.smt2...
% 0.20/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.57  % SZS status Theorem for NUN066+2
% 0.20/0.57  % SZS output start Proof for NUN066+2
% 0.20/0.57  (
% 0.20/0.57  (let ((_let_1 (not (exists ((Y1 $$unsorted)) (and (forall ((Y2 $$unsorted)) (or (forall ((Y3 $$unsorted)) (or (forall ((Y4 $$unsorted)) (or (not (tptp.r1 Y4)) (not (tptp.r2 Y4 Y3)))) (not (tptp.r2 Y3 Y2)))) (not (= Y1 Y2)))) (forall ((Y5 $$unsorted)) (or (not (tptp.r1 Y5)) (not (= Y1 Y5))))))))) (let ((_let_2 (forall ((X7 $$unsorted) (Y10 $$unsorted)) (or (forall ((Y20 $$unsorted)) (or (not (tptp.r1 Y20)) (not (= Y20 Y10)))) (not (tptp.r2 X7 Y10)))))) (let ((_let_3 (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 ((_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 (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.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36))) (let ((_let_8 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_9 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36))) (let ((_let_10 (not _let_6))) (let ((_let_11 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_10))) (let ((_let_14 (forall ((X7 $$unsorted) (Y10 $$unsorted)) (or (not (tptp.r1 Y10)) (not (tptp.r2 X7 Y10)))))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (_let_14))) (let ((_let_17 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_18 (forall ((BOUND_VARIABLE_821 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_821))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_821 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_12))) (let ((_let_21 (forall ((Y24 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_821 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_821))) (or (not _let_1) (and _let_1 (= Y24 BOUND_VARIABLE_821)))))) (not (tptp.r1 Y24)))))) (let ((_let_22 (not _let_20))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (or))) (let ((_let_25 (not _let_21))) (let ((_let_26 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_23) :args (_let_25)) (REWRITE :args ((=> _let_25 (not (or (not (forall ((BOUND_VARIABLE_821 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_821))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_821)))))) _let_12))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_21))) (REFL :args (_let_22)) :args _let_24)) _let_23 :args (_let_22 true _let_21)))) (let ((_let_27 (REFL :args (_let_20)))) (let ((_let_28 (not _let_7))) (let ((_let_29 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30 _let_28))) (let ((_let_34 (forall ((BOUND_VARIABLE_1330 $$unsorted) (BOUND_VARIABLE_1328 $$unsorted)) (or (not (tptp.r2 BOUND_VARIABLE_1328 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26)) (not (tptp.r1 BOUND_VARIABLE_1330)) (not (tptp.r2 BOUND_VARIABLE_1330 BOUND_VARIABLE_1328)))))) (let ((_let_35 (not _let_33))) (let ((_let_36 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_37 (not _let_34))) (let ((_let_38 (or _let_37 _let_36))) (let ((_let_39 (forall ((Y1 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_1330 $$unsorted) (BOUND_VARIABLE_1328 $$unsorted)) (or (not (tptp.r2 BOUND_VARIABLE_1328 Y1)) (not (tptp.r1 BOUND_VARIABLE_1330)) (not (tptp.r2 BOUND_VARIABLE_1330 BOUND_VARIABLE_1328))))) (tptp.r1 Y1))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_42 (not _let_41))) (let ((_let_43 (not _let_36))) (let ((_let_44 (or _let_43 _let_42))) (let ((_let_45 (or _let_42 (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24)) (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))))) (let ((_let_46 (forall ((Y2 $$unsorted) (BOUND_VARIABLE_1141 $$unsorted) (BOUND_VARIABLE_1134 $$unsorted)) (or (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1134)) (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1134 Y2)) (not (tptp.r3 BOUND_VARIABLE_1141 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y2)) (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1141)))))) (let ((_let_47 (not _let_45))) (let ((_let_48 (forall ((X2 $$unsorted) (X9 $$unsorted)) (not (forall ((Y2 $$unsorted) (BOUND_VARIABLE_1141 $$unsorted) (BOUND_VARIABLE_1134 $$unsorted)) (or (not (tptp.r2 X9 BOUND_VARIABLE_1134)) (not (tptp.r4 X2 BOUND_VARIABLE_1134 Y2)) (not (tptp.r3 BOUND_VARIABLE_1141 X2 Y2)) (not (tptp.r4 X2 X9 BOUND_VARIABLE_1141)))))))) (let ((_let_49 (not _let_46))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_49))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 0)) (CONG (REFL :args (_let_45)) (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_24)) :args ((or _let_41 _let_45))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_51)) :args _let_51)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_46))) (REFL :args (_let_47)) :args _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args _let_17) :args (_let_48))) _let_50 :args (_let_49 false _let_48)) :args (_let_47 true _let_46)) :args (_let_41 true _let_45)))) (let ((_let_53 (_let_37))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_53)) :args _let_53)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_34))) (REFL :args (_let_35)) :args _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_36 _let_37 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_42 _let_43 (not _let_44)))) _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r2 X7 Y10) false))))) :args _let_16)) _let_15 :args (_let_44 false _let_14)) :args (_let_43 false _let_41 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 Y1) true))))) :args (_let_39))) _let_40 :args (_let_38 false _let_39)) :args (_let_37 true _let_36 false _let_38)) :args (_let_35 true _let_34)))) (let ((_let_55 (REFL :args (_let_33)))) (let ((_let_56 (and _let_29 _let_8))) (let ((_let_57 (or _let_30 _let_56))) (let ((_let_58 (_let_18))) (let ((_let_59 (or _let_9 _let_32 _let_42))) (let ((_let_60 (forall ((X3 $$unsorted) (X10 $$unsorted) (BOUND_VARIABLE_1170 $$unsorted)) (or (= X3 X10) (not (tptp.r2 X3 BOUND_VARIABLE_1170)) (not (tptp.r2 X10 BOUND_VARIABLE_1170)))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (ASSUME :args (_let_10)))) (let ((_let_63 (APPLY_UF tptp.r2))) (let ((_let_64 (ASSUME :args (_let_9)))) (let ((_let_65 (ASSUME :args (_let_8)))) (let ((_let_66 (ASSUME :args (_let_7)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_62 _let_64 _let_65 _let_66) :args (_let_10 _let_7 _let_8 _let_9)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_66)) (CONG (SYMM _let_65) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36)) :args _let_63) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (SYMM _let_64) :args _let_63) (FALSE_INTRO _let_62))) :args (_let_10 _let_9 _let_8 _let_7)) :args ((not (and _let_10 _let_7 _let_8 _let_9)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_6))) (REFL :args (_let_28)) (REFL :args ((not _let_8))) (REFL :args ((not _let_9))) :args _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_42 _let_32 _let_9 (not _let_59)))) _let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 0)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_24)) :args ((or _let_31 _let_33))) _let_54 :args (_let_31 true _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.r2 X3 BOUND_VARIABLE_1170) false)) (not (= (tptp.r2 X10 BOUND_VARIABLE_1170) false))))) :args (_let_60)))) _let_61 :args (_let_59 false _let_60)) :args (_let_9 false _let_41 false _let_31 false _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_56 1)) :args ((or _let_8 (not _let_56)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_30 _let_56 (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 1)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_24)) :args ((or _let_29 _let_33))) _let_54 :args (_let_29 true _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_58) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 BOUND_VARIABLE_821) false))))) :args _let_58))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 0)) (CONG _let_27 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_24)) :args ((or _let_18 _let_20))) _let_26 :args (_let_18 true _let_20)) :args (_let_57 false _let_18)) :args (_let_56 false _let_29 false _let_57)) :args (_let_8 false _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 2)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_7))) :args _let_24)) :args ((or _let_7 _let_33))) _let_54 :args (_let_7 true _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_13)) :args ((or _let_12 _let_10 (not _let_13)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 1)) (CONG _let_27 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_24)) :args ((or _let_11 _let_20))) _let_26 :args (_let_11 true _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args _let_17) :args _let_16)) _let_15 :args (_let_13 false _let_14)) :args (_let_10 false _let_11 false _let_13)) :args (false false _let_9 false _let_8 false _let_7 true _let_6)) :args (_let_5 (forall ((X11 $$unsorted)) (exists ((Y21 $$unsorted)) (forall ((X12 $$unsorted)) (let ((_let_1 (= X12 Y21))) (let ((_let_2 (tptp.r2 X11 X12))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))) (forall ((X13 $$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 $$unsorted)) (and (tptp.r2 Y7 Y4) (tptp.r3 X1 X8 Y7)))))) _let_4 _let_3 (forall ((X4 $$unsorted)) (exists ((Y9 $$unsorted)) (and (exists ((Y16 $$unsorted)) (and (tptp.r1 Y16) (tptp.r3 X4 Y16 Y9))) (= Y9 X4)))) (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))))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.58  )
% 0.20/0.58  % SZS output end Proof for NUN066+2
% 0.20/0.58  % cvc5---1.0.5 exiting
% 0.20/0.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------