TSTP Solution File: HEN003-5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : HEN003-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 01:54:31 EDT 2023
% Result : Unsatisfiable 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN003-5 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 13:38:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.cJyDfeAySP/cvc5---1.0.5_24528.p...
% 0.20/0.48 ------- get file name : TPTP file name is HEN003-5
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24528.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52 % SZS status Unsatisfiable for HEN003-5
% 0.20/0.52 % SZS output start Proof for HEN003-5
% 0.20/0.52 (
% 0.20/0.52 (let ((_let_1 (tptp.divide tptp.a tptp.a))) (let ((_let_2 (not (= _let_1 tptp.zero)))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (not (= (tptp.divide Y X) tptp.zero)) (= X Y))))) (let ((_let_4 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (= (tptp.divide (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z)) tptp.zero)))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.divide (tptp.divide X Y) X) tptp.zero)))) (let ((_let_6 (tptp.divide _let_1 tptp.a))) (let ((_let_7 (= tptp.zero _let_6))) (let ((_let_8 (tptp.divide tptp.a _let_1))) (let ((_let_9 (tptp.divide _let_8 tptp.a))) (let ((_let_10 (= tptp.zero _let_9))) (let ((_let_11 (tptp.divide _let_1 _let_6))) (let ((_let_12 (= tptp.zero _let_11))) (let ((_let_13 (tptp.divide (tptp.divide tptp.a _let_8) tptp.a))) (let ((_let_14 (= tptp.zero _let_13))) (let ((_let_15 (tptp.divide _let_1 _let_9))) (let ((_let_16 (= _let_15 _let_13))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted)) (= tptp.zero (tptp.divide (tptp.divide X Y) X))))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (_let_17))) (let ((_let_20 ((tptp.divide X Y)))) (let ((_let_21 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.a tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_19)) _let_18 :args (_let_7 false _let_17)))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_19)) _let_18 :args (_let_10 false _let_17)))) (let ((_let_23 (= _let_1 _let_6))) (let ((_let_24 (not _let_12))) (let ((_let_25 (= tptp.zero (tptp.divide _let_6 _let_1)))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_23))) (let ((_let_28 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (not (= tptp.zero (tptp.divide Y X))) (= X Y))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (_let_28))) (let ((_let_31 ((tptp.divide X Y)))) (let ((_let_32 (= tptp.zero _let_1))) (let ((_let_33 (not _let_23))) (let ((_let_34 (SYMM (ASSUME :args (_let_2))))) (let ((_let_35 (not _let_7))) (let ((_let_36 (not _let_32))) (let ((_let_37 (and _let_36 _let_7))) (let ((_let_38 (REFL :args (_let_1)))) (let ((_let_39 (ASSUME :args (_let_7)))) (let ((_let_40 (SYMM (SYMM _let_39)))) (let ((_let_41 (SYMM _let_40))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.a _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_19)) _let_18 :args (_let_14 false _let_17)))) (let ((_let_43 (= tptp.zero (tptp.divide _let_13 _let_15)))) (let ((_let_44 (not _let_43))) (let ((_let_45 (= tptp.zero (tptp.divide _let_15 _let_13)))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_44 _let_16))) (let ((_let_48 (tptp.divide _let_11 _let_1))) (let ((_let_49 (= tptp.zero (tptp.divide _let_48 _let_11)))) (let ((_let_50 (= tptp.zero _let_48))) (let ((_let_51 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z)))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.a tptp.a _let_8 QUANTIFIERS_INST_E_MATCHING ((tptp.divide (tptp.divide X Z) (tptp.divide Y Z))))) :args (_let_51))) _let_52 :args (_let_45 false _let_51)))) (let ((_let_54 (not _let_14))) (let ((_let_55 (not _let_10))) (let ((_let_56 (and _let_7 _let_10 _let_50 _let_45 _let_14 _let_49))) (let ((_let_57 (APPLY_UF tptp.divide))) (let ((_let_58 (ASSUME :args (_let_14)))) (let ((_let_59 (SYMM (SYMM _let_58)))) (let ((_let_60 (ASSUME :args (_let_45)))) (let ((_let_61 (TRANS (SYMM _let_60) _let_40))) (let ((_let_62 (ASSUME :args (_let_10)))) (let ((_let_63 (SYMM _let_62))) (let ((_let_64 (ASSUME :args (_let_50)))) (let ((_let_65 (ASSUME :args (_let_49)))) (let ((_let_66 (and _let_7 _let_10 _let_14 _let_16))) (let ((_let_67 (ASSUME :args (_let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_66)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_39 _let_62 _let_67 _let_58) (SCOPE (TRANS _let_59 (SYMM _let_67) (CONG _let_38 (TRANS _let_63 _let_40) :args _let_57)) :args (_let_7 _let_10 _let_16 _let_14))) :args (_let_7 _let_10 _let_14 _let_16))) :args (true _let_66)) :args ((or _let_35 _let_12 _let_55 _let_54 (not _let_16)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_44 _let_16 (not _let_47)))) _let_53 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_56)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_58 _let_39 _let_60 _let_64 _let_62 _let_65) (SCOPE (TRANS (SYMM (SYMM _let_65)) (CONG (TRANS (TRANS (SYMM _let_64) _let_40) (SYMM _let_61)) (CONG _let_38 (TRANS _let_41 (SYMM _let_63)) :args _let_57) :args _let_57) (CONG (TRANS _let_61 (TRANS _let_41 _let_59)) (REFL :args (_let_15)) :args _let_57)) :args (_let_14 _let_7 _let_45 _let_50 _let_10 _let_49))) :args (_let_7 _let_10 _let_50 _let_45 _let_14 _let_49))) :args (true _let_56)) :args ((or _let_35 _let_55 (not _let_50) _let_46 _let_43 _let_54 (not _let_49)))) _let_21 _let_22 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_1 _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_19)) _let_18 :args (_let_50 false _let_17)) _let_53 _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_11 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_19)) _let_18 :args (_let_49 false _let_17)) :args (_let_43 false _let_7 false _let_10 false _let_50 false _let_45 false _let_14 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_15 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_30)) _let_29 :args (_let_47 false _let_28)) :args (_let_16 false _let_45 false _let_43 false _let_47)) _let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_24 _let_23 (not _let_27)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_19)) _let_18 :args (_let_25 false _let_17)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_37)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_39 _let_34) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG _let_41 _let_38 :args (=)) (FALSE_INTRO _let_34)) :args ((= _let_23 false)))) :args (_let_7 _let_36))) :args (_let_36 _let_7))) :args (true _let_37)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_32))) (REFL :args (_let_35)) (REFL :args (_let_33)) :args (or))) _let_34 _let_21 :args (_let_33 true _let_32 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_6 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_30))) _let_29 :args (_let_27 false _let_28)) :args (_let_24 false _let_25 true _let_23 false _let_27)) _let_22 _let_21 :args (false false _let_16 false _let_14 true _let_12 false _let_10 false _let_7)) :args (_let_5 _let_4 (forall ((X $$unsorted)) (= (tptp.divide tptp.zero X) tptp.zero)) _let_3 (forall ((X $$unsorted)) (= (tptp.divide X tptp.identity) tptp.zero)) _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.52 )
% 0.20/0.53 % SZS output end Proof for HEN003-5
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------