TSTP Solution File: RNG045+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG045+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 13:49:41 EDT 2023
% Result : Theorem 0.24s 0.57s
% Output : Proof 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : RNG045+1 : TPTP v8.1.2. Released v4.0.0.
% 0.16/0.16 % Command : do_cvc5 %s %d
% 0.16/0.38 % Computer : n015.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sun Aug 27 02:04:09 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.24/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.24/0.57 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ztNwnKE57P/cvc5---1.0.5_640.p...
% 0.24/0.57 ------- get file name : TPTP file name is RNG045+1
% 0.24/0.57 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_640.smt2...
% 0.24/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.24/0.57 % SZS status Theorem for RNG045+1
% 0.24/0.57 % SZS output start Proof for RNG045+1
% 0.24/0.57 (
% 0.24/0.57 (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.sdtasdt0 tptp.xy _let_5))) (let ((_let_10 (tptp.sdtasdt0 tptp.xx _let_5))) (let ((_let_11 (= _let_6 (tptp.sdtpldt0 _let_10 _let_9)))) (let ((_let_12 (tptp.aScalar0 tptp.xv))) (let ((_let_13 (tptp.aScalar0 tptp.xu))) (let ((_let_14 (tptp.aScalar0 tptp.xy))) (let ((_let_15 (tptp.aScalar0 tptp.xx))) (let ((_let_16 (and _let_15 _let_14 _let_13 _let_12))) (let ((_let_17 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W2))) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) _let_1)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 _let_1 (tptp.sdtasdt0 W1 W2))))))))) (let ((_let_18 (= _let_9 _let_2))) (let ((_let_19 (= _let_10 _let_4))) (let ((_let_20 (ASSUME :args (_let_11)))) (let ((_let_21 (tptp.sdtasdt0 tptp.xu tptp.xv))) (let ((_let_22 (and _let_18 (= (tptp.sdtasdt0 (tptp.sdtpldt0 tptp.xy tptp.xu) tptp.xv) (tptp.sdtpldt0 _let_1 _let_21))))) (let ((_let_23 (not _let_12))) (let ((_let_24 (not _let_13))) (let ((_let_25 (not _let_14))) (let ((_let_26 (or _let_25 _let_24 _let_23 _let_22))) (let ((_let_27 (forall ((W0 $$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_28 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (_let_27))) (let ((_let_30 ((tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2))))) (let ((_let_31 (ASSUME :args (_let_16)))) (let ((_let_32 (AND_ELIM _let_31 :args (3)))) (let ((_let_33 (AND_ELIM _let_31 :args (2)))) (let ((_let_34 (and _let_19 (= (tptp.sdtasdt0 (tptp.sdtpldt0 tptp.xx tptp.xu) tptp.xv) (tptp.sdtpldt0 _let_3 _let_21))))) (let ((_let_35 (not _let_15))) (let ((_let_36 (or _let_35 _let_24 _let_23 _let_34))) (let ((_let_37 (and _let_11 _let_18 _let_19))) (let ((_let_38 (ASSUME :args (_let_18)))) (let ((_let_39 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_37)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_39 _let_38 _let_20) (SCOPE (TRANS (SYMM (SYMM _let_20)) (CONG (SYMM (SYMM _let_39)) (SYMM (SYMM _let_38)) :args (APPLY_UF tptp.sdtpldt0))) :args (_let_19 _let_18 _let_11))) :args (_let_11 _let_18 _let_19))) :args (true _let_37)) :args ((or _let_7 (not _let_11) (not _let_18) (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_34 0)) :args ((or _let_19 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_24 _let_23 _let_34 (not _let_36)))) (AND_ELIM _let_31 :args (0)) _let_33 _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.xx tptp.xu tptp.xv QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_29)) _let_28 :args (_let_36 false _let_27)) :args (_let_34 false _let_15 false _let_13 false _let_12 false _let_36)) :args (_let_19 false _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 0)) :args ((or _let_18 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_24 _let_23 _let_22 (not _let_26)))) (AND_ELIM _let_31 :args (1)) _let_33 _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.xy tptp.xu tptp.xv QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_29)) _let_28 :args (_let_26 false _let_27)) :args (_let_22 false _let_14 false _let_13 false _let_12 false _let_26)) :args (_let_18 false _let_22)) (ASSUME :args (_let_8)) _let_20 :args (false false _let_19 false _let_18 true _let_7 false _let_11)) :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) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtpldt0 W0 W1)))) (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_17 _let_16 _let_11 _let_8 true))))))))))))))))))))))))))))))))))))))))))
% 0.24/0.58 )
% 0.24/0.58 % SZS output end Proof for RNG045+1
% 0.24/0.58 % cvc5---1.0.5 exiting
% 0.24/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------