TSTP Solution File: NUN133-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUN133-1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 12:46:39 EDT 2023
% Result : Unsatisfiable 0.22s 0.70s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUN133-1 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 10:14:23 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.R3IOZ4W31U/cvc5---1.0.5_8815.p...
% 0.22/0.51 ------- get file name : TPTP file name is NUN133-1
% 0.22/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8815.smt2...
% 0.22/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.70 % SZS status Unsatisfiable for NUN133-1
% 0.22/0.70 % SZS output start Proof for NUN133-1
% 0.22/0.70 (
% 0.22/0.70 (let ((_let_1 (tptp.s tptp.a))) (let ((_let_2 (tptp.cubes _let_1))) (let ((_let_3 (tptp.sum _let_1))) (let ((_let_4 (= (tptp.times _let_3 _let_3) _let_2))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.cubes tptp.a))) (let ((_let_7 (tptp.sum tptp.a))) (let ((_let_8 (tptp.times _let_7 _let_7))) (let ((_let_9 (= _let_8 _let_6))) (let ((_let_10 (forall ((N $$unsorted)) (let ((_let_1 (tptp.sum N))) (= (|tptp.'+'| _let_1 _let_1) (tptp.times N (tptp.s N))))))) (let ((_let_11 (forall ((N $$unsorted)) (let ((_let_1 (tptp.s N))) (= (tptp.cubes _let_1) (|tptp.'+'| (tptp.times _let_1 (tptp.times _let_1 _let_1)) (tptp.cubes N))))))) (let ((_let_12 (forall ((N $$unsorted)) (let ((_let_1 (tptp.s N))) (= (tptp.sum _let_1) (|tptp.'+'| _let_1 (tptp.sum N))))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y)))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times (|tptp.'+'| X Y) Z) (|tptp.'+'| (tptp.times X Z) (tptp.times Y Z)))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z)))))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))))) (let ((_let_19 (tptp.times _let_7 _let_1))) (let ((_let_20 (tptp.times _let_3 _let_1))) (let ((_let_21 (|tptp.'+'| _let_19 _let_8))) (let ((_let_22 (= (|tptp.'+'| _let_20 _let_21) (|tptp.'+'| (|tptp.'+'| _let_20 _let_19) _let_8)))) (let ((_let_23 (_let_17))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (tptp.times _let_1 _let_7))) (let ((_let_26 (tptp.times _let_1 _let_3))) (let ((_let_27 (|tptp.'+'| _let_3 _let_7))) (let ((_let_28 (= (tptp.times _let_1 _let_27) (|tptp.'+'| _let_26 _let_25)))) (let ((_let_29 (= _let_19 _let_25))) (let ((_let_30 (|tptp.'+'| _let_8 _let_19))) (let ((_let_31 (= _let_30 _let_21))) (let ((_let_32 (|tptp.'+'| _let_7 _let_1))) (let ((_let_33 (= (tptp.times _let_7 _let_32) _let_30))) (let ((_let_34 (= _let_20 _let_26))) (let ((_let_35 (|tptp.'+'| _let_7 _let_7))) (let ((_let_36 (= (|tptp.'+'| _let_7 _let_32) (|tptp.'+'| _let_35 _let_1)))) (let ((_let_37 (tptp.times tptp.a _let_1))) (let ((_let_38 (|tptp.'+'| _let_1 _let_37))) (let ((_let_39 (= _let_38 (|tptp.'+'| _let_37 _let_1)))) (let ((_let_40 (= (|tptp.'+'| _let_7 _let_3) _let_27))) (let ((_let_41 (tptp.times _let_1 _let_1))) (let ((_let_42 (tptp.times _let_1 _let_41))) (let ((_let_43 (= _let_42 (|tptp.'+'| _let_41 (tptp.times tptp.a _let_41))))) (let ((_let_44 (= _let_41 _let_38))) (let ((_let_45 (|tptp.'+'| _let_1 _let_7))) (let ((_let_46 (= (tptp.times _let_45 _let_3) (|tptp.'+'| _let_26 (tptp.times _let_7 _let_3))))) (let ((_let_47 (= _let_45 _let_32))) (let ((_let_48 (= _let_35 _let_37))) (let ((_let_49 (= _let_2 (|tptp.'+'| _let_42 _let_6)))) (let ((_let_50 (= _let_3 _let_45))) (let ((_let_51 (not _let_22))) (let ((_let_52 (_let_15))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 ((tptp.times X (|tptp.'+'| Y Z))))) (let ((_let_55 (_let_16))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 ((tptp.times X Y)))) (let ((_let_58 (_let_18))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 ((|tptp.'+'| X Y)))) (let ((_let_61 ((|tptp.'+'| X (|tptp.'+'| Y Z))))) (let ((_let_62 (_let_13))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 ((tptp.times (tptp.s X) Y)))) (let ((_let_65 (_let_14))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (_let_10))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (_let_11))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (_let_12))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (ASSUME :args (_let_9)))) (let ((_let_74 (ASSUME :args (_let_5)))) (let ((_let_75 (not _let_28))) (let ((_let_76 (not _let_29))) (let ((_let_77 (not _let_31))) (let ((_let_78 (not _let_33))) (let ((_let_79 (not _let_34))) (let ((_let_80 (not _let_36))) (let ((_let_81 (not _let_39))) (let ((_let_82 (not _let_40))) (let ((_let_83 (not _let_43))) (let ((_let_84 (not _let_44))) (let ((_let_85 (not _let_46))) (let ((_let_86 (not _let_47))) (let ((_let_87 (not _let_48))) (let ((_let_88 (not _let_49))) (let ((_let_89 (not _let_50))) (let ((_let_90 (not _let_9))) (let ((_let_91 (and _let_9 _let_5 _let_50 _let_49 _let_48 _let_47 _let_46 _let_44 _let_43 _let_40 _let_39 _let_36 _let_34 _let_33 _let_31 _let_29 _let_28))) (let ((_let_92 (ASSUME :args (_let_49)))) (let ((_let_93 (APPLY_UF |tptp.'+'|))) (let ((_let_94 (ASSUME :args (_let_43)))) (let ((_let_95 (APPLY_UF tptp.times))) (let ((_let_96 (ASSUME :args (_let_44)))) (let ((_let_97 (ASSUME :args (_let_39)))) (let ((_let_98 (REFL :args (_let_1)))) (let ((_let_99 (ASSUME :args (_let_48)))) (let ((_let_100 (ASSUME :args (_let_36)))) (let ((_let_101 (ASSUME :args (_let_50)))) (let ((_let_102 (SYMM _let_101))) (let ((_let_103 (ASSUME :args (_let_47)))) (let ((_let_104 (TRANS (SYMM _let_103) _let_102))) (let ((_let_105 (REFL :args (_let_7)))) (let ((_let_106 (ASSUME :args (_let_40)))) (let ((_let_107 (ASSUME :args (_let_28)))) (let ((_let_108 (ASSUME :args (_let_29)))) (let ((_let_109 (ASSUME :args (_let_34)))) (let ((_let_110 (SYMM (SYMM _let_109)))) (let ((_let_111 (ASSUME :args (_let_46)))) (let ((_let_112 (ASSUME :args (_let_33)))) (let ((_let_113 (ASSUME :args (_let_31)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_20 _let_19 _let_8 QUANTIFIERS_INST_E_MATCHING _let_61)) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_91)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_101 _let_111 _let_109 _let_103 _let_112 _let_113 _let_74 _let_92 _let_94 _let_96 _let_97 _let_99 _let_100 _let_106 _let_107 _let_108 _let_73) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_110 (TRANS (SYMM _let_113) (SYMM _let_112) (CONG _let_105 _let_104 :args _let_95)) :args _let_93) (SYMM _let_111) (CONG _let_102 (REFL :args (_let_3)) :args _let_95)) (TRANS (CONG (TRANS (TRANS (CONG _let_110 (SYMM (SYMM _let_108)) :args _let_93) (SYMM _let_107) (CONG _let_98 (TRANS (SYMM _let_106) (CONG _let_105 (SYMM _let_104) :args _let_93) (SYMM (SYMM _let_100)) (CONG (SYMM (SYMM _let_99)) _let_98 :args _let_93) (SYMM _let_97) (SYMM _let_96)) :args _let_95)) _let_94) (SYMM (SYMM _let_73)) :args _let_93) (CONG (SYMM _let_94) (REFL :args (_let_6)) :args _let_93) (SYMM _let_92)) :args (=)) (FALSE_INTRO _let_74))) :args (_let_50 _let_46 _let_34 _let_47 _let_33 _let_31 _let_5 _let_49 _let_43 _let_44 _let_39 _let_48 _let_36 _let_40 _let_28 _let_29 _let_9))) :args (_let_9 _let_5 _let_50 _let_49 _let_48 _let_47 _let_46 _let_44 _let_43 _let_40 _let_39 _let_36 _let_34 _let_33 _let_31 _let_29 _let_28))) :args (true _let_91)) (CONG (REFL :args (_let_90)) (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (REFL :args (_let_89)) (REFL :args (_let_88)) (REFL :args (_let_87)) (REFL :args (_let_86)) (REFL :args (_let_85)) (REFL :args (_let_84)) (REFL :args (_let_83)) (REFL :args (_let_82)) (REFL :args (_let_81)) (REFL :args (_let_80)) (REFL :args (_let_79)) (REFL :args (_let_78)) (REFL :args (_let_77)) (REFL :args (_let_76)) (REFL :args (_let_75)) (REFL :args (_let_51)) :args (or))) :args ((or _let_4 _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83 _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 _let_76 _let_75 _let_51))) _let_74 _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.s N)))) :args _let_71)) _let_72 :args (_let_50 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.s N)))) :args _let_69)) _let_70 :args (_let_49 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sum N)))) :args _let_67)) _let_68 :args (_let_48 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_1 _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_58)) _let_59 :args (_let_47 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_1 _let_7 _let_3 QUANTIFIERS_INST_E_MATCHING ((tptp.times (|tptp.'+'| X Y) Z)))) :args _let_65)) _let_66 :args (_let_46 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_44 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.a _let_41 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_43 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_7 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_58)) _let_59 :args (_let_40 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_1 _let_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_58)) _let_59 :args (_let_39 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_7 _let_7 _let_1 QUANTIFIERS_INST_E_MATCHING _let_61)) :args _let_23)) _let_24 :args (_let_36 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_1 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55))) _let_56 :args (_let_34 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_7 _let_7 _let_1 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_52)) _let_53 :args (_let_33 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_8 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_58)) _let_59 :args (_let_31 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_7 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55)) _let_56 :args (_let_29 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_1 _let_3 _let_7 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_52)) _let_53 :args (_let_28 false _let_15)) :args (_let_51 true _let_4 false _let_9 false _let_50 false _let_49 false _let_48 false _let_47 false _let_46 false _let_44 false _let_43 false _let_40 false _let_39 false _let_36 false _let_34 false _let_33 false _let_31 false _let_29 false _let_28)) _let_24 :args (false true _let_22 false _let_17)) :args (_let_18 _let_17 _let_16 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (tptp.times Y Z)) (tptp.times (tptp.times X Y) Z))) (forall ((X $$unsorted)) (= (|tptp.'+'| X tptp.zero) X)) (forall ((X $$unsorted)) (= (tptp.times X tptp.zero) tptp.zero)) (forall ((X $$unsorted)) (= (tptp.times X tptp.one) X)) _let_15 _let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| (tptp.s X) Y) (tptp.s (|tptp.'+'| X Y)))) _let_13 (= (tptp.sum tptp.zero) tptp.zero) _let_12 (= (tptp.cubes tptp.zero) tptp.zero) _let_11 _let_10 _let_9 _let_5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.70 )
% 0.22/0.71 % SZS output end Proof for NUN133-1
% 0.22/0.71 % cvc5---1.0.5 exiting
% 0.22/0.71 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------