TSTP Solution File: RNG083+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG083+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 13:49:56 EDT 2023
% Result : Theorem 0.22s 0.57s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : RNG083+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n031.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 : Sun Aug 27 03:35:38 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.57 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.AVnvy6sXun/cvc5---1.0.5_2650.p...
% 0.22/0.57 ------- get file name : TPTP file name is RNG083+1
% 0.22/0.57 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2650.smt2...
% 0.22/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.57 % SZS status Theorem for RNG083+1
% 0.22/0.57 % SZS output start Proof for RNG083+1
% 0.22/0.57 (
% 0.22/0.57 (let ((_let_1 (tptp.sdtasdt0 tptp.sz00 tptp.xx))) (let ((_let_2 (= tptp.sz00 _let_1))) (let ((_let_3 (tptp.sdtasdt0 tptp.xx tptp.sz00))) (let ((_let_4 (not (and (= _let_3 tptp.sz00) _let_2)))) (let ((_let_5 (tptp.aElement0 tptp.xx))) (let ((_let_6 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 _let_1 W0) _let_2) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))))) (let ((_let_7 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 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))))))))) (let ((_let_8 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_9 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_10 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aElement0 W0) (and (= (tptp.sdtpldt0 W0 _let_1) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_11 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (tptp.aElement0 (tptp.smndt0 W0)))))) (let ((_let_12 (tptp.aElement0 tptp.sz10))) (let ((_let_13 (tptp.aElement0 tptp.sz00))) (let ((_let_14 (= tptp.sz00 _let_3))) (let ((_let_15 (tptp.sdtasdt0 tptp.xx tptp.sz10))) (let ((_let_16 (tptp.smndt0 tptp.sz10))) (let ((_let_17 (tptp.sdtasdt0 tptp.xx _let_16))) (let ((_let_18 (tptp.sdtpldt0 _let_16 tptp.sz10))) (let ((_let_19 (= (tptp.sdtasdt0 tptp.xx _let_18) (tptp.sdtpldt0 _let_17 _let_15)))) (let ((_let_20 (tptp.smndt0 tptp.xx))) (let ((_let_21 (= _let_20 _let_17))) (let ((_let_22 (= tptp.xx _let_15))) (let ((_let_23 (= tptp.sz00 (tptp.sdtpldt0 _let_20 tptp.xx)))) (let ((_let_24 (= tptp.sz00 _let_18))) (let ((_let_25 (tptp.sdtasdt0 tptp.sz10 tptp.xx))) (let ((_let_26 (tptp.sdtasdt0 _let_16 tptp.xx))) (let ((_let_27 (and _let_19 (= (tptp.sdtasdt0 _let_18 tptp.xx) (tptp.sdtpldt0 _let_26 _let_25))))) (let ((_let_28 (not _let_12))) (let ((_let_29 (tptp.aElement0 _let_16))) (let ((_let_30 (not _let_29))) (let ((_let_31 (not _let_5))) (let ((_let_32 (or _let_31 _let_30 _let_28 _let_27))) (let ((_let_33 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (not (tptp.aElement0 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))))))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (or _let_28 _let_29))) (let ((_let_36 (forall ((W0 $$unsorted)) (or (not (tptp.aElement0 W0)) (tptp.aElement0 (tptp.smndt0 W0)))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (ASSUME :args (_let_12)))) (let ((_let_39 (ASSUME :args (_let_5)))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_27 0)) :args ((or _let_19 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_28 _let_31 _let_30 _let_27 (not _let_32)))) _let_38 _let_39 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_28 _let_29 (not _let_35)))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.sz10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.smndt0 W0)))) :args (_let_36))) _let_37 :args (_let_35 false _let_36)) :args (_let_29 false _let_12 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.xx _let_16 tptp.sz10 QUANTIFIERS_INST_E_MATCHING ((tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))))) :args (_let_33))) _let_34 :args (_let_32 false _let_33)) :args (_let_27 false _let_12 false _let_5 false _let_29 false _let_32)) :args (_let_19 false _let_27)))) (let ((_let_41 (and (= _let_20 _let_26) _let_21))) (let ((_let_42 (or _let_31 _let_41))) (let ((_let_43 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (or (not (tptp.aElement0 W0)) (and (= _let_2 (tptp.sdtasdt0 _let_1 W0)) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_41 1)) :args ((or _let_21 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_31 _let_41 (not _let_42)))) _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.xx QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aElement0 W0) false))))) :args (_let_43))) _let_44 :args (_let_42 false _let_43)) :args (_let_41 false _let_5 false _let_42)) :args (_let_21 false _let_41)))) (let ((_let_46 (and _let_22 (= tptp.xx _let_25)))) (let ((_let_47 (or _let_31 _let_46))) (let ((_let_48 (forall ((W0 $$unsorted)) (or (not (tptp.aElement0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_46 0)) :args ((or _let_22 (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_31 _let_46 (not _let_47)))) _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.xx QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aElement0 W0) false))))) :args (_let_48))) _let_49 :args (_let_47 false _let_48)) :args (_let_46 false _let_5 false _let_47)) :args (_let_22 false _let_46)))) (let ((_let_51 (and (= tptp.sz00 (tptp.sdtpldt0 tptp.xx _let_20)) _let_23))) (let ((_let_52 (or _let_31 _let_51))) (let ((_let_53 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (or (not (tptp.aElement0 W0)) (and (= tptp.sz00 (tptp.sdtpldt0 W0 _let_1)) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (_let_53))) (let ((_let_56 ((not (= (tptp.aElement0 W0) false))))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_51 1)) :args ((or _let_23 (not _let_51)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_31 _let_51 (not _let_52)))) _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.xx QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55)) _let_54 :args (_let_52 false _let_53)) :args (_let_51 false _let_5 false _let_52)) :args (_let_23 false _let_51)))) (let ((_let_58 (and (= tptp.sz00 (tptp.sdtpldt0 tptp.sz10 _let_16)) _let_24))) (let ((_let_59 (or _let_28 _let_58))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_58 1)) :args ((or _let_24 (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_28 _let_58 (not _let_59)))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.sz10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55)) _let_54 :args (_let_59 false _let_53)) :args (_let_58 false _let_12 false _let_59)) :args (_let_24 false _let_58)))) (let ((_let_61 (not _let_19))) (let ((_let_62 (not _let_21))) (let ((_let_63 (not _let_22))) (let ((_let_64 (not _let_23))) (let ((_let_65 (not _let_24))) (let ((_let_66 (and _let_24 _let_23 _let_22 _let_21 _let_19))) (let ((_let_67 (ASSUME :args (_let_24)))) (let ((_let_68 (ASSUME :args (_let_19)))) (let ((_let_69 (ASSUME :args (_let_22)))) (let ((_let_70 (ASSUME :args (_let_21)))) (let ((_let_71 (ASSUME :args (_let_23)))) (let ((_let_72 (MODUS_PONENS (AND_INTRO _let_67 _let_68 _let_70 _let_69 _let_71) (SCOPE (TRANS (SYMM (SYMM _let_71)) (CONG (SYMM (SYMM _let_70)) (SYMM (SYMM _let_69)) :args (APPLY_UF tptp.sdtpldt0)) (SYMM _let_68) (CONG (REFL :args (tptp.xx)) (SYMM _let_67) :args (APPLY_UF tptp.sdtasdt0))) :args (_let_24 _let_19 _let_21 _let_22 _let_23))))) (let ((_let_73 (= _let_3 _let_1))) (let ((_let_74 (not _let_13))) (let ((_let_75 (or _let_74 _let_31 _let_73))) (let ((_let_76 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (and _let_24 _let_23 _let_73 _let_22 _let_21 _let_19))) (let ((_let_79 (ASSUME :args (_let_73)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_78)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_79 _let_72) (SCOPE (TRANS (SYMM (SYMM (ASSUME :args (_let_14)))) (SYMM (SYMM _let_79))) :args (_let_73 _let_14))) :args (_let_24 _let_23 _let_73 _let_22 _let_21 _let_19))) :args (true _let_78)) :args ((or _let_2 _let_65 _let_64 (not _let_73) _let_63 _let_62 _let_61))) _let_60 _let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_74 _let_31 _let_73 (not _let_75)))) (ASSUME :args (_let_13)) _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.sz00 tptp.xx QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtasdt0 W0 W1)))) :args (_let_76)))) _let_77 :args (_let_75 false _let_76)) :args (_let_73 false _let_13 false _let_5 false _let_75)) _let_50 _let_45 _let_40 :args (_let_2 false _let_24 false _let_23 false _let_73 false _let_22 false _let_21 false _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_66)) (IMPLIES_ELIM (SCOPE _let_72 :args (_let_24 _let_23 _let_22 _let_21 _let_19))) :args (true _let_66)) :args ((or _let_14 _let_65 _let_64 _let_63 _let_62 _let_61))) _let_60 _let_57 _let_50 _let_45 _let_40 :args (_let_14 false _let_24 false _let_23 false _let_22 false _let_21 false _let_19)) :args (false false _let_2 false _let_14)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) _let_13 _let_12 _let_11 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtpldt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtasdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))) _let_10 _let_9 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))) _let_8 _let_7 _let_6 _let_5 _let_4 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.57 )
% 0.22/0.57 % SZS output end Proof for RNG083+1
% 0.22/0.57 % cvc5---1.0.5 exiting
% 0.22/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------