TSTP Solution File: SWB016+2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWB016+2 : TPTP v8.1.2. Released v5.2.0.
% 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 20:02:42 EDT 2023

% Result   : Theorem 0.21s 0.54s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SWB016+2 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n003.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun Aug 27 06:38:54 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.54  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.FXp9hmBDpp/cvc5---1.0.5_2934.p...
% 0.21/0.54  ------- get file name : TPTP file name is SWB016+2
% 0.21/0.54  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2934.smt2...
% 0.21/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.54  % SZS status Theorem for SWB016+2
% 0.21/0.54  % SZS output start Proof for SWB016+2
% 0.21/0.54  (
% 0.21/0.54  (let ((_let_1 (tptp.iext tptp.uri_rdfs_subPropertyOf tptp.uri_owl_equivalentClass tptp.uri_rdfs_subClassOf))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((C1 $$unsorted) (C2 $$unsorted)) (= (tptp.iext tptp.uri_owl_equivalentClass C1 C2) (and (tptp.ic C1) (tptp.ic C2) (forall ((X $$unsorted)) (= (tptp.icext C1 X) (tptp.icext C2 X)))))))) (let ((_let_4 (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_rdfs_subPropertyOf P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext P1 X Y) (tptp.iext P2 X Y)))))))) (let ((_let_5 (forall ((C1 $$unsorted) (C2 $$unsorted)) (= (tptp.iext tptp.uri_rdfs_subClassOf C1 C2) (and (tptp.ic C1) (tptp.ic C2) (forall ((X $$unsorted)) (=> (tptp.icext C1 X) (tptp.icext C2 X)))))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_equivalentClass X Y) (and (tptp.ic X) (tptp.ic Y)))))) (let ((_let_7 (tptp.ip tptp.uri_owl_equivalentClass))) (let ((_let_8 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Class))) (let ((_let_9 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_domain tptp.uri_rdf_Property))) (let ((_let_10 (forall ((P $$unsorted) (C $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (and (tptp.iext tptp.uri_rdfs_domain P C) (tptp.iext P X Y)) (tptp.icext C X))))) (let ((_let_11 (forall ((X $$unsorted) (C $$unsorted)) (= (tptp.iext tptp.uri_rdf_type X C) (tptp.icext C X))))) (let ((_let_12 (forall ((P $$unsorted)) (= (tptp.iext tptp.uri_rdf_type P tptp.uri_rdf_Property) (tptp.ip P))))) (let ((_let_13 (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_14 (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_15 (= _let_14 _let_13))) (let ((_let_16 (forall ((X $$unsorted)) (= (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X) (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X))))) (let ((_let_17 (tptp.ic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_18 (tptp.ic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (and _let_18 _let_17 _let_16))) (let ((_let_20 (tptp.iext tptp.uri_owl_equivalentClass SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_21 (= _let_20 _let_19))) (let ((_let_22 (_let_3))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (tptp.iext tptp.uri_rdfs_subClassOf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_25 (not _let_20))) (let ((_let_26 (or _let_25 _let_24))) (let ((_let_27 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_owl_equivalentClass X Y)) (tptp.iext tptp.uri_rdfs_subClassOf X Y))))) (let ((_let_28 (not _let_26))) (let ((_let_29 (tptp.ip tptp.uri_rdfs_subClassOf))) (let ((_let_30 (and _let_7 _let_29 _let_27))) (let ((_let_31 (not _let_27))) (let ((_let_32 (tptp.iext tptp.uri_rdf_type tptp.uri_rdfs_subClassOf tptp.uri_rdf_Property))) (let ((_let_33 (= _let_29 _let_32))) (let ((_let_34 (_let_12))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (tptp.icext tptp.uri_rdf_Property tptp.uri_rdfs_subClassOf))) (let ((_let_37 (= _let_32 _let_36))) (let ((_let_38 (_let_11))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (not _let_8))) (let ((_let_41 (not _let_9))) (let ((_let_42 (or _let_41 _let_40 _let_36))) (let ((_let_43 (forall ((P $$unsorted) (C $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_rdfs_domain P C)) (not (tptp.iext P X Y)) (tptp.icext C X))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (= _let_1 _let_30))) (let ((_let_46 (not _let_30))) (let ((_let_47 (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_rdfs_subPropertyOf P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P1 X Y)) (tptp.iext P2 X Y)))))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (or))) (let ((_let_50 (_let_31))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_50)) :args _let_50)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_27))) (REFL :args (_let_28)) :args _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_30)) :args ((or (not _let_7) _let_30 (not _let_29) _let_31))) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_45)) :args ((or _let_1 _let_46 (not _let_45)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.uri_owl_equivalentClass tptp.uri_rdfs_subClassOf QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_rdfs_subPropertyOf P1 P2)))) :args (_let_47))) _let_48 :args (_let_45 false _let_47)) :args (_let_46 true _let_1 false _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_33)) :args ((or _let_29 (not _let_32) (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_37)) :args ((or _let_32 (not _let_36) (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_40 _let_36 (not _let_42)))) (ASSUME :args (_let_9)) (ASSUME :args (_let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.uri_rdfs_domain tptp.uri_rdf_Property tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Class QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.iext tptp.uri_rdfs_domain P C) false)) (not (= (tptp.iext P X Y) false))))) :args (_let_43))) _let_44 :args (_let_42 false _let_43)) :args (_let_36 false _let_9 false _let_8 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.uri_rdfs_subClassOf tptp.uri_rdf_Property QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_rdf_type X C)))) :args _let_38)) _let_39 :args (_let_37 false _let_11)) :args (_let_32 false _let_36 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.uri_rdfs_subClassOf QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ip P)))) :args _let_34))) _let_35 :args (_let_33 false _let_12)) :args (_let_29 false _let_32 false _let_33)) :args (_let_31 false _let_7 true _let_30 false _let_29)) :args (_let_28 true _let_27)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG (REFL :args (_let_26)) (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_20))) :args _let_49)) :args ((or _let_20 _let_26))) _let_51 :args (_let_20 true _let_26)))) (let ((_let_53 (_let_16))) (let ((_let_54 (not _let_14))) (let ((_let_55 (or _let_54 _let_13))) (let ((_let_56 (forall ((X $$unsorted)) (or (not (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X)) (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X))))) (let ((_let_57 (not _let_55))) (let ((_let_58 (and _let_18 _let_17 _let_56))) (let ((_let_59 (not _let_56))) (let ((_let_60 (and _let_18 _let_17))) (let ((_let_61 (or _let_25 _let_60))) (let ((_let_62 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_owl_equivalentClass X Y)) (and (tptp.ic X) (tptp.ic Y)))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_25 _let_60 (not _let_61)))) _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.iext tptp.uri_owl_equivalentClass X Y) false))))) :args (_let_62))) _let_63 :args (_let_61 false _let_62)) :args (_let_60 false _let_20 false _let_61)))) (let ((_let_65 (not _let_60))) (let ((_let_66 (= _let_24 _let_58))) (let ((_let_67 (not _let_58))) (let ((_let_68 (forall ((C1 $$unsorted) (C2 $$unsorted)) (= (tptp.iext tptp.uri_rdfs_subClassOf C1 C2) (and (tptp.ic C1) (tptp.ic C2) (forall ((X $$unsorted)) (or (not (tptp.icext C1 X)) (tptp.icext C2 X)))))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (_let_59))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_70)) :args _let_70)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_56))) (REFL :args (_let_57)) :args _let_49)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_66)) :args ((or _let_24 _let_67 (not _let_66)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_26 1)) _let_51 :args ((not _let_24) true _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_rdfs_subClassOf C1 C2)))) :args (_let_68))) _let_69 :args (_let_66 false _let_68)) :args (_let_67 true _let_24 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_60 0)) :args ((or _let_18 _let_65))) _let_64 :args (_let_18 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_60 1)) :args ((or _let_17 _let_65))) _let_64 :args (_let_17 false _let_60)) :args (_let_59 true _let_58 false _let_18 false _let_17)) :args (_let_57 true _let_56)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_15)) :args ((or _let_54 _let_13 (not _let_15)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_55 1)) _let_71 :args ((not _let_13) true _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 0)) (CONG (REFL :args (_let_55)) (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_14))) :args _let_49)) :args ((or _let_14 _let_55))) _let_71 :args (_let_14 true _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_53) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X)))) :args _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_19 2)) :args ((or _let_16 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_21)) :args ((or _let_25 _let_19 (not _let_21)))) _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_owl_equivalentClass C1 C2)))) :args _let_22)) _let_23 :args (_let_21 false _let_3)) :args (_let_19 false _let_20 false _let_21)) :args (_let_16 false _let_19)) :args (_let_15 false _let_16)) :args (false true _let_13 false _let_14 false _let_15)) :args (_let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54  )
% 0.21/0.54  % SZS output end Proof for SWB016+2
% 0.21/0.55  % cvc5---1.0.5 exiting
% 0.21/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------