TSTP Solution File: LAT032-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT032-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 06:02:40 EDT 2023
% Result : Unsatisfiable 0.20s 0.66s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT032-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 08:20:06 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.vcaSqfnpQ5/cvc5---1.0.5_7783.p...
% 0.20/0.50 ------- get file name : TPTP file name is LAT032-1
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7783.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.66 % SZS status Unsatisfiable for LAT032-1
% 0.20/0.66 % SZS output start Proof for LAT032-1
% 0.20/0.67 (
% 0.20/0.67 (let ((_let_1 (tptp.meet tptp.xx tptp.zz))) (let ((_let_2 (tptp.meet tptp.xx tptp.yy))) (let ((_let_3 (tptp.join _let_2 _let_1))) (let ((_let_4 (tptp.join tptp.yy tptp.zz))) (let ((_let_5 (= (tptp.meet tptp.xx _let_4) _let_3))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.meet Y Z)) (tptp.meet (tptp.join X Y) (tptp.join X Z)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.join X X) X)))) (let ((_let_12 (tptp.join tptp.zz tptp.yy))) (let ((_let_13 (tptp.join tptp.zz tptp.xx))) (let ((_let_14 (tptp.meet _let_13 _let_12))) (let ((_let_15 (tptp.join _let_2 tptp.xx))) (let ((_let_16 (= (tptp.meet (tptp.meet _let_15 _let_13) _let_12) (tptp.meet _let_15 _let_14)))) (let ((_let_17 (_let_8))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (tptp.join tptp.zz _let_2))) (let ((_let_20 (= _let_19 _let_14))) (let ((_let_21 (tptp.join tptp.xx tptp.zz))) (let ((_let_22 (= _let_21 _let_13))) (let ((_let_23 (tptp.join tptp.xx tptp.xx))) (let ((_let_24 (= tptp.xx _let_23))) (let ((_let_25 (tptp.join tptp.xx _let_1))) (let ((_let_26 (= _let_25 (tptp.meet _let_23 _let_21)))) (let ((_let_27 (tptp.join _let_2 tptp.zz))) (let ((_let_28 (= _let_27 _let_19))) (let ((_let_29 (tptp.join tptp.xx _let_2))) (let ((_let_30 (= _let_29 _let_15))) (let ((_let_31 (= _let_3 (tptp.meet _let_15 _let_27)))) (let ((_let_32 (= _let_4 _let_12))) (let ((_let_33 (= tptp.xx _let_25))) (let ((_let_34 (= tptp.xx _let_29))) (let ((_let_35 (not _let_16))) (let ((_let_36 (_let_7))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 ((tptp.join X (tptp.meet Y Z))))) (let ((_let_39 (_let_9))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 ((tptp.join X Y)))) (let ((_let_42 (forall ((X $$unsorted)) (= X (tptp.join X X))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_44))) (let ((_let_47 ((tptp.meet X Y)))) (let ((_let_48 (ASSUME :args (_let_6)))) (let ((_let_49 (and _let_6 _let_34 _let_33 _let_32 _let_31 _let_30 _let_28 _let_26 _let_24 _let_22 _let_20))) (let ((_let_50 (ASSUME :args (_let_31)))) (let ((_let_51 (APPLY_UF tptp.meet))) (let ((_let_52 (ASSUME :args (_let_28)))) (let ((_let_53 (ASSUME :args (_let_20)))) (let ((_let_54 (ASSUME :args (_let_32)))) (let ((_let_55 (ASSUME :args (_let_33)))) (let ((_let_56 (ASSUME :args (_let_26)))) (let ((_let_57 (ASSUME :args (_let_24)))) (let ((_let_58 (ASSUME :args (_let_22)))) (let ((_let_59 (ASSUME :args (_let_34)))) (let ((_let_60 (ASSUME :args (_let_30)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_15 _let_13 _let_12 QUANTIFIERS_INST_E_MATCHING ((tptp.meet X (tptp.meet Y Z))))) :args _let_17)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_49)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_57 _let_56 _let_50 _let_54 _let_53 _let_60 _let_55 _let_58 _let_52 _let_59 _let_48) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG (TRANS (CONG (TRANS (SYMM _let_60) (SYMM _let_59)) (SYMM _let_58) :args _let_51) (CONG (SYMM (SYMM _let_57)) (REFL :args (_let_21)) :args _let_51) (SYMM _let_56) (SYMM _let_55)) (SYMM _let_54) :args _let_51) (TRANS (CONG (REFL :args (_let_15)) (TRANS (SYMM _let_53) (SYMM _let_52)) :args _let_51) (SYMM _let_50)) :args (=)) (FALSE_INTRO _let_48))) :args (_let_24 _let_26 _let_31 _let_32 _let_20 _let_30 _let_33 _let_22 _let_28 _let_34 _let_6))) :args (_let_6 _let_34 _let_33 _let_32 _let_31 _let_30 _let_28 _let_26 _let_24 _let_22 _let_20))) :args (true _let_49)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) (REFL :args ((not _let_34))) (REFL :args ((not _let_33))) (REFL :args ((not _let_32))) (REFL :args ((not _let_31))) (REFL :args ((not _let_30))) (REFL :args ((not _let_28))) (REFL :args ((not _let_26))) (REFL :args ((not _let_24))) (REFL :args ((not _let_22))) (REFL :args ((not _let_20))) (REFL :args (_let_35)) :args (or))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.xx tptp.yy QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_46)) _let_45 :args (_let_34 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.xx tptp.zz QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_46)) _let_45 :args (_let_33 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.yy tptp.zz QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_32 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_2 tptp.xx tptp.zz QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_36)) _let_37 :args (_let_31 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.xx _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_30 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_2 tptp.zz QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_28 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.xx tptp.xx tptp.zz QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_36)) _let_37 :args (_let_26 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.xx QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.join X X)))) :args (_let_42))) _let_43 :args (_let_24 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.xx tptp.zz QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_22 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.zz tptp.xx tptp.yy QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_36)) _let_37 :args (_let_20 false _let_7)) :args (_let_35 true _let_5 false _let_34 false _let_33 false _let_32 false _let_31 false _let_30 false _let_28 false _let_26 false _let_24 false _let_22 false _let_20)) _let_18 :args (false true _let_16 false _let_8)) :args ((forall ((X $$unsorted)) (= (tptp.meet X X) X)) _let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)) _let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) _let_9 _let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) _let_7 _let_6)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.67 )
% 0.20/0.67 % SZS output end Proof for LAT032-1
% 0.20/0.68 % cvc5---1.0.5 exiting
% 0.20/0.68 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------