TSTP Solution File: NUM460+2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM460+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 10:44:09 EDT 2023
% Result : Theorem 0.22s 0.64s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM460+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n007.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 : Fri Aug 25 15:31:26 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.64 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.oA56bKoDO2/cvc5---1.0.5_9442.p...
% 0.22/0.64 ------- get file name : TPTP file name is NUM460+2
% 0.22/0.64 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9442.smt2...
% 0.22/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.64 % SZS status Theorem for NUM460+2
% 0.22/0.64 % SZS output start Proof for NUM460+2
% 0.22/0.64 (
% 0.22/0.64 (let ((_let_1 (not (=> (and (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (= (tptp.sdtpldt0 tptp.xm W0) tptp.xn))) (tptp.sdtlseqdt0 tptp.xm tptp.xn) (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (= (tptp.sdtpldt0 tptp.xn W0) tptp.xl))) (tptp.sdtlseqdt0 tptp.xn tptp.xl)) (or (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (= (tptp.sdtpldt0 tptp.xm W0) tptp.xl))) (tptp.sdtlseqdt0 tptp.xm tptp.xl)))))) (let ((_let_2 (tptp.aNaturalNumber0 tptp.xm))) (let ((_let_3 (and _let_2 (tptp.aNaturalNumber0 tptp.xn) (tptp.aNaturalNumber0 tptp.xl)))) (let ((_let_4 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))))) (let ((_let_5 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_6 (tptp.sdtpldt0 tptp.xm SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (= tptp.xn _let_6))) (let ((_let_8 (= tptp.xl (tptp.sdtpldt0 tptp.xn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_9 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (tptp.sdtpldt0 tptp.xm _let_9))) (let ((_let_11 (= (tptp.sdtpldt0 _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_10))) (let ((_let_12 (= tptp.xl _let_10))) (let ((_let_13 (not _let_7))) (let ((_let_14 (tptp.aNaturalNumber0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13))) (let ((_let_17 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (= tptp.xn (tptp.sdtpldt0 tptp.xm W0))))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (0))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (NOT_IMPLIES_ELIM1 _let_20))) (let ((_let_22 (or))) (let ((_let_23 (not _let_17))) (let ((_let_24 (_let_23))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_24)) :args _let_24)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_17))) (REFL :args (_let_18)) :args _let_22)) (AND_ELIM _let_21 :args _let_19) :args (_let_18 true _let_17)))) (let ((_let_26 (REFL :args (_let_16)))) (let ((_let_27 (not _let_8))) (let ((_let_28 (tptp.aNaturalNumber0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_27))) (let ((_let_31 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (= tptp.xl (tptp.sdtpldt0 tptp.xn W0))))))) (let ((_let_32 (not _let_30))) (let ((_let_33 (not _let_31))) (let ((_let_34 (_let_33))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_34)) :args _let_34)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_31))) (REFL :args (_let_32)) :args _let_22)) (AND_ELIM _let_21 :args (2)) :args (_let_32 true _let_31)))) (let ((_let_36 (REFL :args (_let_30)))) (let ((_let_37 (not _let_2))) (let ((_let_38 (or _let_37 _let_15 _let_29 _let_11))) (let ((_let_39 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (tptp.aNaturalNumber0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 0)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_22)) :args ((or _let_28 _let_30))) _let_35 :args (_let_28 true _let_30)))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 0)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_22)) :args ((or _let_14 _let_16))) _let_25 :args (_let_14 true _let_16)))) (let ((_let_43 (not _let_12))) (let ((_let_44 (tptp.aNaturalNumber0 _let_9))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_43))) (let ((_let_47 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (= tptp.xl (tptp.sdtpldt0 tptp.xm W0))))))) (let ((_let_48 (_let_47))) (let ((_let_49 (or _let_15 _let_29 _let_44))) (let ((_let_50 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (ASSUME :args (_let_43)))) (let ((_let_53 (ASSUME :args (_let_11)))) (let ((_let_54 (ASSUME :args (_let_7)))) (let ((_let_55 (ASSUME :args (_let_8)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_53 _let_54 _let_55) (SCOPE (TRANS (SYMM (SYMM _let_55)) (CONG (SYMM (SYMM _let_54)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) :args (APPLY_UF tptp.sdtpldt0)) (SYMM (SYMM _let_53))) :args (_let_11 _let_7 _let_8))) _let_52) :args (_let_7 _let_8 _let_11 _let_43)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (SYMM (SYMM (ASSUME :args (_let_12)))))) (FALSE_INTRO _let_52))) :args (_let_12 _let_43)) :args ((not (and _let_7 _let_8 _let_11 _let_43)) SB_LITERAL))) (CONG (REFL :args (_let_13)) (REFL :args (_let_27)) (REFL :args ((not _let_11))) (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_12))) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_45 _let_43 (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_15 _let_29 _let_44 (not _let_49)))) _let_42 _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtpldt0 W0 W1)))) :args (_let_50))) _let_51 :args (_let_49 false _let_50)) :args (_let_44 false _let_14 false _let_28 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_48) :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtpldt0 tptp.xm W0)))) :args _let_48)) (NOT_NOT_ELIM (NOT_OR_ELIM (NOT_IMPLIES_ELIM2 _let_20) :args _let_19)) :args (_let_46 false _let_47)) :args (_let_43 false _let_44 false _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_15 _let_29 _let_11 (not _let_38)))) (AND_ELIM (ASSUME :args (_let_3)) :args _let_19) _let_42 _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.xm SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2)))) :args (_let_39))) _let_40 :args (_let_38 false _let_39)) :args (_let_11 false _let_2 false _let_14 false _let_28 false _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 1)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_8))) :args _let_22)) :args ((or _let_8 _let_30))) _let_35 :args (_let_8 true _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 1)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_7))) :args _let_22)) :args ((or _let_7 _let_16))) _let_25 :args (_let_7 true _let_16)) :args (false true _let_12 false _let_11 false _let_8 false _let_7)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)) (tptp.aNaturalNumber0 tptp.sz00) (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00))) _let_5 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))) _let_4 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (and (= (tptp.sdtasdt0 W0 _let_1) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 _let_1 W0) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (or (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W0 W2)) (= (tptp.sdtpldt0 W1 W0) (tptp.sdtpldt0 W2 W0))) (= W1 W2)))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (=> (not (= W0 tptp.sz00)) (forall ((W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (or (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2)) (= (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))) (= W1 W2))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.sdtpldt0 W0 W1) tptp.sz00) (and (= W0 tptp.sz00) (= W1 tptp.sz00))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtlseqdt0 W0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= (tptp.sdtpldt0 W0 W2) W1)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtmndt0 W1 W0)) (and (tptp.aNaturalNumber0 W2) (= (tptp.sdtpldt0 W0 W2) W1))))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (tptp.sdtlseqdt0 W0 W0))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)) (= W0 W1)))) _let_3 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.64 )
% 0.22/0.64 % SZS output end Proof for NUM460+2
% 0.22/0.64 % cvc5---1.0.5 exiting
% 0.22/0.64 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------