%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUN087+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 12:46:28 EDT 2023

% Result   : Theorem 0.22s 0.55s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NUN087+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.20/0.36  % Computer : n016.cluster.edu
% 0.20/0.36  % Model    : x86_64 x86_64
% 0.20/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.36  % Memory   : 8042.1875MB
% 0.20/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.20/0.36  % CPULimit   : 300
% 0.20/0.36  % WCLimit    : 300
% 0.20/0.36  % DateTime   : Sun Aug 27 09:58:13 EDT 2023
% 0.20/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.55  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.EQ9UPzBFbe/cvc5---1.0.5_28605.p...
% 0.22/0.55  ------- get file name : TPTP file name is NUN087+2
% 0.22/0.55  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_28605.smt2...
% 0.22/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.55  % SZS status Theorem for NUN087+2
% 0.22/0.55  % SZS output start Proof for NUN087+2
% 0.22/0.55  (
% 0.22/0.55  (let ((_let_1 (not (exists ((Y1 $$unsorted)) (and (exists ((Y2 $$unsorted)) (and (tptp.r1 Y2) (tptp.r4 Y2 Y2 Y1))) (exists ((Y3 $$unsorted)) (and (tptp.r1 Y3) (= Y1 Y3)))))))) (let ((_let_2 (forall ((X5 $$unsorted)) (exists ((Y8 $$unsorted)) (and (exists ((Y17 $$unsorted)) (and (tptp.r1 Y17) (tptp.r4 X5 Y17 Y8))) (exists ((Y18 $$unsorted)) (and (tptp.r1 Y18) (= Y8 Y18)))))))) (let ((_let_3 (exists ((Y24 $$unsorted)) (forall ((X19 $$unsorted)) (let ((_let_1 (= X19 Y24))) (let ((_let_2 (tptp.r1 X19))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1)))))))) (let ((_let_4 (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_5 (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_6 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_8 (not _let_4))) (let ((_let_9 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_10 _let_8))) (let ((_let_12 (forall ((Y1 $$unsorted) (BOUND_VARIABLE_1327 $$unsorted)) (or (not (tptp.r1 Y1)) (not (tptp.r1 BOUND_VARIABLE_1327)) (not (tptp.r4 BOUND_VARIABLE_1327 BOUND_VARIABLE_1327 Y1)))))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (forall ((BOUND_VARIABLE_805 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_805))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_805 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_10))) (let ((_let_17 (forall ((Y24 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_805 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_805))) (or (not _let_1) (and _let_1 (= Y24 BOUND_VARIABLE_805)))))) (not (tptp.r1 Y24)))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (or))) (let ((_let_21 (not _let_17))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_19) :args (_let_21)) (REWRITE :args ((=> _let_21 (not (or (not (forall ((BOUND_VARIABLE_805 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_805))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_805)))))) _let_10))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_17))) (REFL :args (_let_18)) :args _let_20)) _let_19 :args (_let_18 true _let_17)))) (let ((_let_23 (REFL :args (_let_16)))) (let ((_let_24 (not _let_5))) (let ((_let_25 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26 _let_24))) (let ((_let_30 (forall ((Y8 $$unsorted) (BOUND_VARIABLE_1238 $$unsorted)) (or (not (tptp.r1 Y8)) (not (tptp.r1 BOUND_VARIABLE_1238)) (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1238 Y8)))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (forall ((X5 $$unsorted)) (not (forall ((Y8 $$unsorted) (BOUND_VARIABLE_1238 $$unsorted)) (or (not (tptp.r1 Y8)) (not (tptp.r1 BOUND_VARIABLE_1238)) (not (tptp.r4 X5 BOUND_VARIABLE_1238 Y8)))))))) (let ((_let_33 (not _let_30))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (_let_33))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_35)) :args _let_35)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_30))) (REFL :args (_let_31)) :args _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args (_let_32))) _let_34 :args (_let_33 false _let_32)) :args (_let_31 true _let_30)))) (let ((_let_37 (REFL :args (_let_29)))) (let ((_let_38 (and _let_27 _let_6))) (let ((_let_39 (or _let_28 _let_38))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 0)) (CONG _let_23 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_20)) :args ((or _let_14 _let_16))) _let_22 :args (_let_14 true _let_16)))) (let ((_let_41 (_let_14))) (let ((_let_42 ((not (= (tptp.r1 BOUND_VARIABLE_805) false))))) (let ((_let_43 (ASSUME :args _let_41))) (let ((_let_44 (and _let_25 _let_7))) (let ((_let_45 (or _let_26 _let_44))) (let ((_let_46 (ASSUME :args (_let_8)))) (let ((_let_47 (ASSUME :args (_let_6)))) (let ((_let_48 (ASSUME :args (_let_7)))) (let ((_let_49 (ASSUME :args (_let_5)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_46 _let_48 _let_47 _let_49) :args (_let_8 _let_5 _let_6 _let_7)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_49)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (SYMM _let_48) (SYMM _let_47) :args (APPLY_UF tptp.r4)) (FALSE_INTRO _let_46))) :args (_let_8 _let_7 _let_6 _let_5)) :args ((not (and _let_8 _let_5 _let_6 _let_7)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_4))) (REFL :args (_let_24)) (REFL :args ((not _let_6))) (REFL :args ((not _let_7))) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_44 1)) :args ((or _let_7 (not _let_44)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_26 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 1)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_20)) :args ((or _let_25 _let_29))) _let_36 :args (_let_25 true _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_41))) _let_40 :args (_let_45 false _let_14)) :args (_let_44 false _let_25 false _let_45)) :args (_let_7 false _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_38 1)) :args ((or _let_6 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_28 _let_38 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 0)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_20)) :args ((or _let_27 _let_29))) _let_36 :args (_let_27 true _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_41))) _let_40 :args (_let_39 false _let_14)) :args (_let_38 false _let_27 false _let_39)) :args (_let_6 false _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 2)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_5))) :args _let_20)) :args ((or _let_5 _let_29))) _let_36 :args (_let_5 true _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_11))) :args ((or _let_10 _let_8 (not _let_11)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 1)) (CONG _let_23 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_20)) :args ((or _let_9 _let_16))) _let_22 :args (_let_9 true _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args (_let_12))) _let_13 :args (_let_11 false _let_12)) :args (_let_8 false _let_9 false _let_11)) :args (false false _let_7 false _let_6 false _let_5 true _let_4)) :args (_let_3 (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 $$unsorted)) (or (not (tptp.r2 X3 Y13)) (not (= Y13 Y12)))) (not (tptp.r2 X10 Y12)))) (= X3 X10))) (forall ((X4 $$unsorted)) (exists ((Y9 $$unsorted)) (and (exists ((Y16 $$unsorted)) (and (tptp.r1 Y16) (tptp.r3 X4 Y16 Y9))) (= Y9 X4)))) _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))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.56  )
% 0.22/0.56  % SZS output end Proof for NUN087+2
% 0.22/0.56  % cvc5---1.0.5 exiting
% 0.22/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------