TSTP Solution File: RNG044+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG044+1 : TPTP v8.1.2. Released v4.0.0.
% 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 13:49:40 EDT 2023
% Result : Theorem 0.19s 0.52s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG044+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 02:35:42 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.19/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.qcPPdFwCyV/cvc5---1.0.5_10656.p...
% 0.19/0.52 ------- get file name : TPTP file name is RNG044+1
% 0.19/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_10656.smt2...
% 0.19/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.52 % SZS status Theorem for RNG044+1
% 0.19/0.52 % SZS output start Proof for RNG044+1
% 0.19/0.52 (
% 0.19/0.52 (let ((_let_1 (tptp.sdtasdt0 tptp.xy tptp.xv))) (let ((_let_2 (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xy tptp.xu) _let_1))) (let ((_let_3 (tptp.sdtasdt0 tptp.xx tptp.xv))) (let ((_let_4 (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xx tptp.xu) _let_3))) (let ((_let_5 (tptp.sdtpldt0 tptp.xu tptp.xv))) (let ((_let_6 (tptp.sdtasdt0 (tptp.sdtpldt0 tptp.xx tptp.xy) _let_5))) (let ((_let_7 (= _let_6 (tptp.sdtpldt0 _let_4 _let_2)))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.aScalar0 tptp.xv))) (let ((_let_10 (tptp.aScalar0 tptp.xu))) (let ((_let_11 (tptp.aScalar0 tptp.xy))) (let ((_let_12 (tptp.aScalar0 tptp.xx))) (let ((_let_13 (and _let_12 _let_11 _let_10 _let_9))) (let ((_let_14 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W2))) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) _let_1)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 _let_1 (tptp.sdtasdt0 W1 W2))))))))) (let ((_let_15 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_16 (tptp.sdtasdt0 tptp.xy _let_5))) (let ((_let_17 (= _let_2 _let_16))) (let ((_let_18 (tptp.sdtasdt0 tptp.xx _let_5))) (let ((_let_19 (= _let_4 _let_18))) (let ((_let_20 (= _let_6 (tptp.sdtpldt0 _let_18 _let_16)))) (let ((_let_21 (ASSUME :args (_let_8)))) (let ((_let_22 (tptp.sdtasdt0 tptp.xu tptp.xv))) (let ((_let_23 (and _let_17 (= (tptp.sdtasdt0 (tptp.sdtpldt0 tptp.xy tptp.xu) tptp.xv) (tptp.sdtpldt0 _let_1 _let_22))))) (let ((_let_24 (not _let_9))) (let ((_let_25 (not _let_10))) (let ((_let_26 (not _let_11))) (let ((_let_27 (or _let_26 _let_25 _let_24 _let_23))) (let ((_let_28 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W2))) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) _let_1)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 _let_1 (tptp.sdtasdt0 W1 W2))))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (_let_28))) (let ((_let_31 ((tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))))) (let ((_let_32 (ASSUME :args (_let_13)))) (let ((_let_33 (AND_ELIM _let_32 :args (3)))) (let ((_let_34 (AND_ELIM _let_32 :args (2)))) (let ((_let_35 (AND_ELIM _let_32 :args (1)))) (let ((_let_36 (and _let_19 (= (tptp.sdtasdt0 (tptp.sdtpldt0 tptp.xx tptp.xu) tptp.xv) (tptp.sdtpldt0 _let_3 _let_22))))) (let ((_let_37 (not _let_12))) (let ((_let_38 (or _let_37 _let_25 _let_24 _let_36))) (let ((_let_39 (AND_ELIM _let_32 :args (0)))) (let ((_let_40 (and (= (tptp.sdtasdt0 tptp.xx (tptp.sdtpldt0 tptp.xy _let_5)) (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xx tptp.xy) _let_18)) _let_20))) (let ((_let_41 (tptp.aScalar0 _let_5))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_37 _let_26 _let_42 _let_40))) (let ((_let_44 (or _let_25 _let_24 _let_41))) (let ((_let_45 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (and _let_8 _let_17 _let_19))) (let ((_let_48 (ASSUME :args (_let_17)))) (let ((_let_49 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_47)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_21 _let_49 _let_48) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_6)) (CONG (SYMM _let_49) (SYMM _let_48) :args (APPLY_UF tptp.sdtpldt0)) :args (=)) (FALSE_INTRO _let_21))) :args (_let_8 _let_19 _let_17))) :args (_let_8 _let_17 _let_19))) :args (true _let_47)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) (REFL :args ((not _let_17))) (REFL :args ((not _let_19))) (REFL :args ((not _let_20))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_40 1)) :args ((or _let_20 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_37 _let_26 _let_42 _let_40 (not _let_43)))) _let_39 _let_35 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_25 _let_24 _let_41 (not _let_44)))) _let_34 _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.xu tptp.xv QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtpldt0 W0 W1)))) :args (_let_45))) _let_46 :args (_let_44 false _let_45)) :args (_let_41 false _let_10 false _let_9 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.xx tptp.xy _let_5 QUANTIFIERS_INST_E_MATCHING ((tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2)))) :args _let_30)) _let_29 :args (_let_43 false _let_28)) :args (_let_40 false _let_12 false _let_11 false _let_41 false _let_43)) :args (_let_20 false _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_36 0)) :args ((or _let_19 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_25 _let_24 _let_36 (not _let_38)))) _let_39 _let_34 _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.xx tptp.xu tptp.xv QUANTIFIERS_INST_E_MATCHING _let_31)) :args _let_30))) _let_29 :args (_let_38 false _let_28)) :args (_let_36 false _let_12 false _let_10 false _let_9 false _let_38)) :args (_let_19 false _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_23 0)) :args ((or _let_17 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_25 _let_24 _let_23 (not _let_27)))) _let_35 _let_34 _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.xy tptp.xu tptp.xv QUANTIFIERS_INST_E_MATCHING _let_31)) :args _let_30))) _let_29 :args (_let_27 false _let_28)) :args (_let_23 false _let_11 false _let_10 false _let_9 false _let_27)) :args (_let_17 false _let_23)) _let_21 :args (false false _let_20 false _let_19 false _let_17 true _let_7)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)) (tptp.aNaturalNumber0 tptp.sz00) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.szszuzczcdt0 W0))) (=> (tptp.aNaturalNumber0 W0) (and (tptp.aNaturalNumber0 _let_1) (not (= _let_1 tptp.sz00)))))) (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (not (= W0 tptp.sz00))) (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= W0 (tptp.szszuzczcdt0 W1)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1)) (= W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.iLess0 W0 W1) true))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (tptp.iLess0 W0 (tptp.szszuzczcdt0 W0)))) (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) true)) (tptp.aScalar0 tptp.sz0z00) _let_15 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtasdt0 W0 W1)))) (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.aScalar0 (tptp.smndt0 W0)))) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aScalar0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz0z00) W0) (= (tptp.sdtpldt0 tptp.sz0z00 W0) W0) (= (tptp.sdtasdt0 W0 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 W0) tptp.sz0z00) (= (tptp.sdtpldt0 W0 _let_1) tptp.sz0z00) (= (tptp.sdtpldt0 _let_1 W0) tptp.sz0z00) (= (tptp.smndt0 _let_1) W0) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W1))) (let ((_let_2 (tptp.sdtpldt0 W0 W1))) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 _let_2 W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= _let_2 (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 _let_1 W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= _let_1 (tptp.sdtasdt0 W1 W0))))))) _let_14 _let_13 _let_8 true))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.53 )
% 0.19/0.53 % SZS output end Proof for RNG044+1
% 0.19/0.53 % cvc5---1.0.5 exiting
% 0.19/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------