TSTP Solution File: LAT038-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT038-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 06:02:42 EDT 2023
% Result : Unsatisfiable 0.14s 0.43s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT038-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10 % Command : do_cvc5 %s %d
% 0.12/0.29 % Computer : n032.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8042.1875MB
% 0.12/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Thu Aug 24 07:05:41 EDT 2023
% 0.12/0.29 % CPUTime :
% 0.14/0.38 %----Proving TF0_NAR, FOF, or CNF
% 0.14/0.38 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.FR81cT5bvW/cvc5---1.0.5_30193.p...
% 0.14/0.39 ------- get file name : TPTP file name is LAT038-1
% 0.14/0.39 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30193.smt2...
% 0.14/0.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.14/0.43 % SZS status Unsatisfiable for LAT038-1
% 0.14/0.43 % SZS output start Proof for LAT038-1
% 0.14/0.43 (
% 0.14/0.43 (let ((_let_1 (tptp.f tptp.cc tptp.dd))) (let ((_let_2 (tptp.f tptp.aa tptp.dd))) (let ((_let_3 (= _let_2 _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.f tptp.bb tptp.dd))) (let ((_let_6 (tptp.meet _let_1 _let_5))) (let ((_let_7 (tptp.meet _let_2 _let_5))) (let ((_let_8 (= _let_7 _let_6))) (let ((_let_9 (tptp.f (tptp.join tptp.cc tptp.bb) tptp.dd))) (let ((_let_10 (tptp.f (tptp.join tptp.aa tptp.bb) tptp.dd))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (= (tptp.f (tptp.join U V) W) (tptp.join (tptp.f U W) (tptp.f V W)))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.meet Y Z)) (tptp.meet (tptp.join X Y) (tptp.join X Z)))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)))) (let ((_let_17 (= _let_2 (tptp.join _let_2 _let_7)))) (let ((_let_18 (= _let_1 (tptp.join _let_1 _let_6)))) (let ((_let_19 (tptp.meet _let_5 _let_1))) (let ((_let_20 (= _let_6 _let_19))) (let ((_let_21 (tptp.join _let_1 _let_5))) (let ((_let_22 (= _let_9 _let_21))) (let ((_let_23 (tptp.join _let_2 _let_5))) (let ((_let_24 (= _let_10 _let_23))) (let ((_let_25 (tptp.join _let_1 _let_2))) (let ((_let_26 (tptp.meet _let_25 _let_21))) (let ((_let_27 (= (tptp.join _let_1 _let_7) _let_26))) (let ((_let_28 (= _let_26 (tptp.meet _let_21 _let_25)))) (let ((_let_29 (tptp.join _let_2 _let_1))) (let ((_let_30 (= _let_25 _let_29))) (let ((_let_31 (= (tptp.join _let_2 _let_19) (tptp.meet _let_23 _let_29)))) (let ((_let_32 (ASSUME :args (_let_11)))) (let ((_let_33 (ASSUME :args (_let_8)))) (let ((_let_34 (ASSUME :args (_let_4)))) (let ((_let_35 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (_let_35))) (let ((_let_38 ((tptp.meet X Y)))) (let ((_let_39 (_let_15))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 ((tptp.meet X Y)))) (let ((_let_42 (_let_12))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 ((tptp.f (tptp.join U V) W)))) (let ((_let_45 (_let_13))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 ((tptp.join X (tptp.meet Y Z))))) (let ((_let_48 (_let_14))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (not _let_31))) (let ((_let_51 (not _let_30))) (let ((_let_52 (not _let_28))) (let ((_let_53 (not _let_27))) (let ((_let_54 (not _let_24))) (let ((_let_55 (not _let_22))) (let ((_let_56 (not _let_20))) (let ((_let_57 (not _let_18))) (let ((_let_58 (not _let_17))) (let ((_let_59 (not _let_8))) (let ((_let_60 (not _let_11))) (let ((_let_61 (and _let_11 _let_8 _let_4 _let_17 _let_18 _let_20 _let_22 _let_24 _let_27 _let_28 _let_30))) (let ((_let_62 (ASSUME :args (_let_18)))) (let ((_let_63 (APPLY_UF tptp.join))) (let ((_let_64 (ASSUME :args (_let_27)))) (let ((_let_65 (ASSUME :args (_let_28)))) (let ((_let_66 (ASSUME :args (_let_30)))) (let ((_let_67 (ASSUME :args (_let_22)))) (let ((_let_68 (ASSUME :args (_let_24)))) (let ((_let_69 (ASSUME :args (_let_17)))) (let ((_let_70 (ASSUME :args (_let_20)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_61)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_34 _let_69 _let_33 _let_70 _let_62 _let_64 _let_65 _let_67 _let_32 _let_68 _let_66) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (REFL :args (_let_2)) (TRANS (SYMM _let_70) (SYMM _let_33)) :args _let_63) (SYMM _let_69)) (TRANS (CONG (TRANS (SYMM _let_68) (SYMM (SYMM _let_32)) (SYMM (SYMM _let_67))) (SYMM _let_66) :args (APPLY_UF tptp.meet)) (SYMM _let_65) (SYMM _let_64) (CONG (REFL :args (_let_1)) _let_33 :args _let_63) (SYMM _let_62)) :args (=)) (FALSE_INTRO _let_34))) :args (_let_4 _let_17 _let_8 _let_20 _let_18 _let_27 _let_28 _let_22 _let_11 _let_24 _let_30))) :args (_let_11 _let_8 _let_4 _let_17 _let_18 _let_20 _let_22 _let_24 _let_27 _let_28 _let_30))) :args (true _let_61)) (CONG (REFL :args (_let_60)) (REFL :args (_let_59)) (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) (REFL :args (_let_58)) (REFL :args (_let_57)) (REFL :args (_let_56)) (REFL :args (_let_55)) (REFL :args (_let_54)) (REFL :args (_let_53)) (REFL :args (_let_52)) (REFL :args (_let_51)) (REFL :args (_let_50)) :args (or))) :args ((or _let_3 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_2 _let_5 _let_1 QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_45)) _let_46 :args (_let_31 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.join X Y)))) :args _let_48)) _let_49 :args (_let_30 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_25 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_28 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_1 _let_2 _let_5 QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_45)) _let_46 :args (_let_27 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.aa tptp.bb tptp.dd QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_42)) _let_43 :args (_let_24 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.cc tptp.bb tptp.dd QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_42)) _let_43 :args (_let_22 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_1 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_20 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_1 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_18 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_2 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_17 false _let_35)) _let_34 _let_33 _let_32 :args (false false _let_31 false _let_30 false _let_28 false _let_27 false _let_24 false _let_22 false _let_20 false _let_18 false _let_17 true _let_3 false _let_8 false _let_11)) :args ((forall ((X $$unsorted)) (= (tptp.meet X X) X)) (forall ((X $$unsorted)) (= (tptp.join X X) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)) _let_16 _let_15 _let_14 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) _let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.join Y Z)) (tptp.join (tptp.meet X Y) (tptp.meet X Z)))) _let_12 (forall ((W $$unsorted)) (= (tptp.f tptp.n0 W) tptp.n0)) (forall ((W $$unsorted) (U $$unsorted) (V $$unsorted)) (= (tptp.f W (tptp.join U V)) (tptp.join (tptp.f W U) (tptp.f W V)))) (forall ((W $$unsorted)) (= (tptp.f W tptp.n0) tptp.n0)) _let_11 _let_8 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.14/0.43 )
% 0.14/0.43 % SZS output end Proof for LAT038-1
% 0.14/0.43 % cvc5---1.0.5 exiting
% 0.14/0.43 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------