TSTP Solution File: HEN012-3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : HEN012-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 01:54:40 EDT 2023
% Result : Unsatisfiable 0.21s 0.58s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN012-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.15/0.34 % Computer : n029.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Thu Aug 24 13:38:53 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Lt5aRyepEj/cvc5---1.0.5_2706.p...
% 0.21/0.49 ------- get file name : TPTP file name is HEN012-3
% 0.21/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2706.smt2...
% 0.21/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.58 % SZS status Unsatisfiable for HEN012-3
% 0.21/0.58 % SZS output start Proof for HEN012-3
% 0.21/0.58 (
% 0.21/0.58 (let ((_let_1 (tptp.less_equal tptp.a tptp.a))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))) (let ((_let_4 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (tptp.less_equal X Y))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= (tptp.divide X Y) tptp.zero))))) (let ((_let_8 (tptp.divide tptp.a tptp.a))) (let ((_let_9 (tptp.divide tptp.a _let_8))) (let ((_let_10 (tptp.divide _let_9 tptp.a))) (let ((_let_11 (tptp.divide _let_8 tptp.a))) (let ((_let_12 (tptp.divide _let_8 _let_11))) (let ((_let_13 (tptp.less_equal _let_12 _let_10))) (let ((_let_14 (= _let_10 _let_12))) (let ((_let_15 (tptp.less_equal _let_10 _let_12))) (let ((_let_16 (not _let_15))) (let ((_let_17 (not _let_13))) (let ((_let_18 (or _let_17 _let_16 _let_14))) (let ((_let_19 (_let_4))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (_let_3))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_24 (= tptp.zero _let_10))) (let ((_let_25 (= tptp.zero _let_12))) (let ((_let_26 (not _let_14))) (let ((_let_27 (tptp.less_equal _let_9 tptp.a))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_24))) (let ((_let_30 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_30))) (let ((_let_33 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_34 (_let_5))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 ((tptp.divide X Y)))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_24 (not _let_29)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.a _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_34)) _let_35 :args (_let_27 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_9 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_32)) _let_31 :args (_let_29 false _let_30)) :args (_let_24 false _let_27 false _let_29)))) (let ((_let_38 (tptp.less_equal _let_8 _let_11))) (let ((_let_39 (not _let_25))) (let ((_let_40 (or _let_39 _let_38))) (let ((_let_41 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_41))) (let ((_let_44 ((not (= (tptp.less_equal X Y) true))))) (let ((_let_45 (= _let_8 _let_11))) (let ((_let_46 (not _let_38))) (let ((_let_47 (tptp.less_equal _let_11 _let_8))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46 _let_45))) (let ((_let_50 (= tptp.zero _let_11))) (let ((_let_51 (= tptp.zero _let_8))) (let ((_let_52 (not _let_45))) (let ((_let_53 (tptp.less_equal _let_8 tptp.a))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_50))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_54 _let_50 (not _let_55)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.a tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_34)) _let_35 :args (_let_53 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_8 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_32)) _let_31 :args (_let_55 false _let_30)) :args (_let_50 false _let_53 false _let_55)))) (let ((_let_57 (not _let_51))) (let ((_let_58 (or _let_57 _let_1))) (let ((_let_59 (or))) (let ((_let_60 (and _let_57 _let_50))) (let ((_let_61 (ASSUME :args (_let_57)))) (let ((_let_62 (=))) (let ((_let_63 (ASSUME :args (_let_50)))) (let ((_let_64 (SYMM _let_63))) (let ((_let_65 (not _let_24))) (let ((_let_66 (and _let_24 _let_39))) (let ((_let_67 (_let_24 _let_39))) (let ((_let_68 (ASSUME :args (_let_39)))) (let ((_let_69 (REFL :args (_let_12)))) (let ((_let_70 (ASSUME :args (_let_24)))) (let ((_let_71 (SYMM _let_70))) (let ((_let_72 (tptp.divide _let_12 _let_8))) (let ((_let_73 (tptp.less_equal _let_72 _let_12))) (let ((_let_74 (= tptp.zero _let_72))) (let ((_let_75 (tptp.less_equal _let_12 _let_8))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_74))) (let ((_let_78 (and _let_50 _let_24 _let_74 _let_73))) (let ((_let_79 (ASSUME :args (_let_73)))) (let ((_let_80 (ASSUME :args (_let_74)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_17 _let_16 _let_14 (not _let_18)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_78)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_79 _let_80 _let_63 _let_70) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS _let_71 _let_63) (TRANS _let_64 (SYMM (SYMM _let_80)))) _let_69 :args (APPLY_UF tptp.less_equal)) (TRUE_INTRO _let_79))) :args (_let_73 _let_74 _let_50 _let_24))) :args (_let_50 _let_24 _let_74 _let_73))) :args (true _let_78)) _let_56 _let_37 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_76 _let_74 (not _let_77)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_8 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_34)) _let_35 :args (_let_75 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_12 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.divide X Y) tptp.zero))))) :args _let_32)) _let_31 :args (_let_77 false _let_30)) :args (_let_74 false _let_75 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_12 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_34)) _let_35 :args (_let_73 false _let_5)) :args (_let_15 false _let_50 false _let_24 false _let_74 false _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_66)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_70 _let_68) (SCOPE (FALSE_ELIM (TRANS (CONG _let_71 _let_69 :args _let_62) (FALSE_INTRO _let_68))) :args _let_67)) :args _let_67)) :args (true _let_66)) (CONG (REFL :args (_let_65)) (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_25))) (REFL :args (_let_26)) :args _let_59)) :args ((or _let_25 _let_65 _let_26))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_38 _let_39 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_48 _let_46 _let_45 (not _let_49)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_8 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_34)) _let_35 :args (_let_47 false _let_5)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_60)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_63 _let_61) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG _let_64 (REFL :args (_let_8)) :args _let_62) (FALSE_INTRO _let_61)) :args ((= _let_45 false)))) :args (_let_50 _let_57))) :args (_let_57 _let_50))) :args (true _let_60)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_51))) (REFL :args ((not _let_50))) (REFL :args (_let_52)) :args _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_1 _let_57 (not _let_58)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_43)) _let_42 :args (_let_58 false _let_41)) :args (_let_57 true _let_1 false _let_58)) _let_56 :args (_let_52 true _let_51 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_11 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_21))) _let_22 :args (_let_49 false _let_3)) :args (_let_46 false _let_47 true _let_45 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_8 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_43)) _let_42 :args (_let_40 false _let_41)) :args (_let_39 true _let_38 false _let_40)) _let_37 :args (_let_26 true _let_25 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_12 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_21))) _let_22 :args (_let_18 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.a tptp.a _let_8 QUANTIFIERS_INST_E_MATCHING ((tptp.divide (tptp.divide X Y) Z)))) :args _let_19)) _let_20 :args (_let_13 false _let_4)) :args (false false _let_15 true _let_14 false _let_18 false _let_13)) :args (_let_7 _let_6 _let_5 _let_4 (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)) _let_3 (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)) _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.58 )
% 0.21/0.59 % SZS output end Proof for HEN012-3
% 0.21/0.59 % cvc5---1.0.5 exiting
% 0.21/0.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------