TSTP Solution File: HEN003-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : HEN003-2 : TPTP v8.1.2. Released v1.0.0.
% 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 01:54:30 EDT 2023
% Result : Unsatisfiable 22.47s 22.71s
% Output : Proof 22.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HEN003-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % 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 : Thu Aug 24 13:50:21 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.A0jrpwtJzm/cvc5---1.0.5_4439.p...
% 0.21/0.50 ------- get file name : TPTP file name is HEN003-2
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4439.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.23/10.52 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.23/15.54 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.38/20.56 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 22.47/22.71 % SZS status Unsatisfiable for HEN003-2
% 22.47/22.71 % SZS output start Proof for HEN003-2
% 22.47/22.71 (
% 22.47/22.71 (let ((_let_1 (tptp.quotient tptp.x tptp.x tptp.zero))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X $$unsorted)) (tptp.quotient tptp.zero X tptp.zero)))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.quotient X Y (tptp.divide X Y))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (V5 $$unsorted)) (or (not (tptp.quotient X Y V1)) (not (tptp.quotient Y Z V2)) (not (tptp.quotient X Z V3)) (not (tptp.quotient V3 V2 V4)) (not (tptp.quotient V1 Z V5)) (tptp.less_equal V4 V5))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.quotient X Y Z)) (tptp.less_equal Z X))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.quotient X Y tptp.zero)) (tptp.less_equal X Y))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.quotient X Y tptp.zero))))) (let ((_let_10 (tptp.divide tptp.x tptp.zero))) (let ((_let_11 (tptp.quotient _let_10 tptp.x tptp.zero))) (let ((_let_12 (tptp.less_equal _let_10 tptp.x))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11))) (let ((_let_15 (_let_9))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 (not _let_14))) (let ((_let_18 (tptp.quotient tptp.x tptp.zero _let_10))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_12))) (let ((_let_21 (_let_7))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (_let_4))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.x tptp.zero QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_23)) _let_24 :args (_let_18 false _let_4)))) (let ((_let_26 (tptp.divide tptp.x tptp.x))) (let ((_let_27 (tptp.divide _let_26 tptp.zero))) (let ((_let_28 (tptp.less_equal _let_27 tptp.zero))) (let ((_let_29 (not _let_11))) (let ((_let_30 (tptp.quotient _let_26 tptp.zero _let_27))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.quotient tptp.x tptp.x _let_26))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.quotient tptp.zero tptp.x tptp.zero))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_19 _let_35 _let_33 _let_31 _let_29 _let_28))) (let ((_let_37 (_let_6))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (= tptp.zero _let_27))) (let ((_let_40 (not _let_28))) (let ((_let_41 (tptp.less_equal tptp.zero _let_27))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_40 _let_39))) (let ((_let_44 (_let_5))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (tptp.quotient tptp.zero _let_27 tptp.zero))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_41))) (let ((_let_49 (_let_8))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (_let_3))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (tptp.quotient _let_26 tptp.zero tptp.zero))) (let ((_let_54 (not _let_39))) (let ((_let_55 (tptp.less_equal _let_26 tptp.zero))) (let ((_let_56 (not _let_53))) (let ((_let_57 (or _let_56 _let_55))) (let ((_let_58 (= tptp.zero _let_26))) (let ((_let_59 (not _let_55))) (let ((_let_60 (tptp.less_equal tptp.zero _let_26))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_59 _let_58))) (let ((_let_63 (tptp.quotient _let_26 tptp.x tptp.zero))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_60))) (let ((_let_66 (tptp.less_equal _let_26 tptp.x))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_67 _let_63))) (let ((_let_69 (or _let_33 _let_66))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.x tptp.x QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_23)) _let_24 :args (_let_32 false _let_4)))) (let ((_let_71 (not _let_58))) (let ((_let_72 (ASSUME :args (_let_2)))) (let ((_let_73 (or))) (let ((_let_74 (APPLY_UF tptp.quotient))) (let ((_let_75 (ASSUME :args (_let_58)))) (let ((_let_76 (REFL :args (tptp.x)))) (let ((_let_77 (ASSUME :args (_let_32)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_26 tptp.zero QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_23)) _let_24 :args (_let_30 false _let_4)))) (let ((_let_79 (ASSUME :args (_let_56)))) (let ((_let_80 (ASSUME :args (_let_39)))) (let ((_let_81 (ASSUME :args (_let_30)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_10 tptp.x QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_11 _let_13 _let_17))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_33 _let_19 _let_31 _let_28 _let_29 (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.x QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_51)) _let_52 :args (_let_34 false _let_3)) _let_70 _let_25 _let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_39 _let_42 _let_40 (not _let_43)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_79 _let_80 _let_81) :args (_let_30 _let_39 _let_56)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_81)) (CONG (REFL :args (_let_26)) (REFL :args (tptp.zero)) (SYMM _let_80) :args _let_74) (FALSE_INTRO _let_79))) :args (_let_56 _let_39 _let_30)) :args ((not (and _let_30 _let_39 _let_56)) SB_LITERAL))) (CONG (REFL :args (_let_31)) (REFL :args (_let_54)) (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_53))) :args _let_73)) _let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_55 _let_56 (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_58 _let_61 _let_59 (not _let_62)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_72 _let_75 _let_77) :args (_let_2 _let_32 _let_58)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_77)) (CONG _let_76 _let_76 (SYMM _let_75) :args _let_74) (FALSE_INTRO _let_72))) :args (_let_2 _let_58 _let_32)) :args ((not (and _let_2 _let_32 _let_58)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_33)) (REFL :args (_let_71)) :args _let_73)) _let_70 _let_72 :args (_let_71 false _let_32 true _let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_60 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_67 _let_63 (not _let_68)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_33 _let_66 (not _let_69)))) _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.x tptp.x _let_26 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_21)) _let_22 :args (_let_69 false _let_7)) :args (_let_66 false _let_32 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_26 tptp.x QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_15)) _let_16 :args (_let_68 false _let_9)) :args (_let_63 false _let_66 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_26 tptp.x tptp.zero QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_21)) _let_22 :args (_let_65 false _let_7)) :args (_let_60 false _let_63 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.zero _let_26 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_44)) _let_45 :args (_let_62 false _let_5)) :args (_let_59 true _let_58 false _let_60 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_26 tptp.zero QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_49)) _let_50 :args (_let_57 false _let_8)) :args (_let_56 true _let_55 false _let_57)) :args (_let_54 false _let_30 true _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_41 _let_47 (not _let_48)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_27 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_51)) _let_52 :args (_let_46 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.zero _let_27 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_49)) _let_50 :args (_let_48 false _let_8)) :args (_let_41 false _let_46 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.zero _let_27 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_44)) _let_45 :args (_let_43 false _let_5)) :args (_let_40 true _let_39 false _let_41 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.x tptp.zero _let_10 tptp.x tptp.zero _let_26 _let_27 tptp.zero QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_37)) _let_38 :args (_let_36 false _let_6)) :args (_let_29 false _let_34 false _let_32 false _let_18 false _let_30 true _let_28 false _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_12 (not _let_20)))) _let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.x tptp.zero _let_10 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_21)) _let_22 :args (_let_20 false _let_7)) :args (_let_12 false _let_18 false _let_20)) :args (_let_17 true _let_11 false _let_12)) _let_16 :args (false true _let_14 false _let_9)) :args (_let_9 _let_8 _let_7 _let_6 (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)) _let_5 (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)) _let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.quotient X Y Z)) (not (tptp.quotient X Y W)) (= Z W))) (forall ((X $$unsorted)) (tptp.quotient X tptp.identity tptp.zero)) _let_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 22.47/22.71 )
% 22.47/22.72 % SZS output end Proof for HEN003-2
% 22.47/22.72 % cvc5---1.0.5 exiting
% 22.47/22.72 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------