TSTP Solution File: SWB004+2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWB004+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n013.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 20:02:31 EDT 2023

% Result   : Theorem 0.21s 0.53s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWB004+2 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n013.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun Aug 27 07:17:02 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.53  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.M8QNHvnuxO/cvc5---1.0.5_1915.p...
% 0.21/0.53  ------- get file name : TPTP file name is SWB004+2
% 0.21/0.53  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1915.smt2...
% 0.21/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53  % SZS status Theorem for SWB004+2
% 0.21/0.53  % SZS output start Proof for SWB004+2
% 0.21/0.53  (
% 0.21/0.53  (let ((_let_1 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Datatype tptp.uri_owl_Class))) (let ((_let_2 (tptp.iext tptp.uri_owl_equivalentClass tptp.uri_owl_Class tptp.uri_rdfs_Class))) (let ((_let_3 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_owl_Class tptp.uri_owl_Thing))) (let ((_let_4 (tptp.iext tptp.uri_rdf_type tptp.uri_owl_Class tptp.uri_owl_Class))) (let ((_let_5 (tptp.iext tptp.uri_rdf_type tptp.uri_owl_Class tptp.uri_owl_Thing))) (let ((_let_6 (not (and _let_5 _let_4 _let_3 _let_2 _let_1)))) (let ((_let_7 (forall ((C1 $$unsorted) (C2 $$unsorted)) (= (tptp.iext tptp.uri_owl_equivalentClass C1 C2) (and (tptp.ic C1) (tptp.ic C2) (forall ((X $$unsorted)) (= (tptp.icext C1 X) (tptp.icext C2 X)))))))) (let ((_let_8 (forall ((C1 $$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_9 (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_owl_Thing X) (tptp.ir X))))) (let ((_let_10 (tptp.ic tptp.uri_owl_Thing))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_rdfs_Datatype X) (tptp.idc X))))) (let ((_let_12 (tptp.ic tptp.uri_rdfs_Datatype))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_rdfs_Class X) (tptp.ic X))))) (let ((_let_14 (tptp.ic tptp.uri_rdfs_Class))) (let ((_let_15 (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_owl_Class X) (tptp.ic X))))) (let ((_let_16 (tptp.ic tptp.uri_owl_Class))) (let ((_let_17 (forall ((X $$unsorted)) (=> (tptp.idc X) (tptp.ic X))))) (let ((_let_18 (forall ((X $$unsorted) (C $$unsorted)) (= (tptp.iext tptp.uri_rdf_type X C) (tptp.icext C X))))) (let ((_let_19 (forall ((X $$unsorted)) (tptp.ir X)))) (let ((_let_20 (tptp.ic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_21 (tptp.idc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20))) (let ((_let_24 (forall ((X $$unsorted)) (or (not (tptp.idc X)) (tptp.ic X))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (tptp.icext tptp.uri_rdfs_Datatype SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_27 (= _let_26 _let_21))) (let ((_let_28 (_let_11))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (tptp.icext tptp.uri_owl_Class SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_31 (not _let_26))) (let ((_let_32 (or _let_31 _let_30))) (let ((_let_33 (forall ((X $$unsorted)) (or (not (tptp.icext tptp.uri_rdfs_Datatype X)) (tptp.icext tptp.uri_owl_Class X))))) (let ((_let_34 (not _let_32))) (let ((_let_35 (and _let_12 _let_16 _let_33))) (let ((_let_36 (not _let_33))) (let ((_let_37 (= _let_1 _let_35))) (let ((_let_38 (not _let_35))) (let ((_let_39 (forall ((C1 $$unsorted) (C2 $$unsorted)) (= (tptp.iext tptp.uri_rdfs_subClassOf C1 C2) (and (tptp.ic C1) (tptp.ic C2) (forall ((X $$unsorted)) (or (not (tptp.icext C1 X)) (tptp.icext C2 X)))))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (_let_39))) (let ((_let_42 ((tptp.iext tptp.uri_rdfs_subClassOf C1 C2)))) (let ((_let_43 (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_owl_Class X) (tptp.icext tptp.uri_rdfs_Class X))))) (let ((_let_44 (and _let_16 _let_14 _let_43))) (let ((_let_45 (= _let_2 _let_44))) (let ((_let_46 (_let_7))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (tptp.icext tptp.uri_rdfs_Class SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_49 (tptp.icext tptp.uri_owl_Class SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_50 (= _let_49 _let_48))) (let ((_let_51 (tptp.ic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_52 (= _let_48 _let_51))) (let ((_let_53 (= _let_49 _let_51))) (let ((_let_54 (_let_50))) (let ((_let_55 (_let_13))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.icext tptp.uri_rdfs_Class X)))) :args _let_55)) _let_56 :args (_let_52 false _let_13)))) (let ((_let_58 (not _let_52))) (let ((_let_59 (not _let_51))) (let ((_let_60 (_let_52))) (let ((_let_61 (_let_15))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 ((tptp.icext tptp.uri_owl_Class X)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_53 false _let_15)))) (let ((_let_65 (not _let_53))) (let ((_let_66 (_let_53))) (let ((_let_67 (or))) (let ((_let_68 (not _let_43))) (let ((_let_69 (_let_68))) (let ((_let_70 (ASSUME :args (_let_16)))) (let ((_let_71 (not _let_16))) (let ((_let_72 (forall ((X $$unsorted)) (or (not (tptp.icext tptp.uri_owl_Class X)) (tptp.icext tptp.uri_owl_Thing X))))) (let ((_let_73 (and _let_16 _let_10 _let_72))) (let ((_let_74 (= _let_3 _let_73))) (let ((_let_75 (tptp.icext tptp.uri_owl_Thing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_76 (or (not (tptp.icext tptp.uri_owl_Class SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) _let_75))) (let ((_let_77 (tptp.ir SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_78 (= _let_75 _let_77))) (let ((_let_79 (_let_9))) (let ((_let_80 (ASSUME :args _let_79))) (let ((_let_81 ((tptp.icext tptp.uri_owl_Thing X)))) (let ((_let_82 (_let_19))) (let ((_let_83 (ASSUME :args _let_82))) (let ((_let_84 ((not (= (tptp.ir X) true))))) (let ((_let_85 (not _let_72))) (let ((_let_86 (_let_85))) (let ((_let_87 (tptp.icext tptp.uri_owl_Class tptp.uri_owl_Class))) (let ((_let_88 (= _let_4 _let_87))) (let ((_let_89 (_let_18))) (let ((_let_90 (ASSUME :args _let_89))) (let ((_let_91 ((tptp.iext tptp.uri_rdf_type X C)))) (let ((_let_92 (= _let_16 _let_87))) (let ((_let_93 (tptp.icext tptp.uri_owl_Thing tptp.uri_owl_Class))) (let ((_let_94 (= _let_5 _let_93))) (let ((_let_95 (tptp.ir tptp.uri_owl_Class))) (let ((_let_96 (= _let_93 _let_95))) (let ((_let_97 (_let_36))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_97)) :args _let_97)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_33))) (REFL :args (_let_34)) :args _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_35)) :args ((or _let_71 (not _let_12) _let_35 _let_36))) _let_70 (ASSUME :args (_let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_37)) :args ((or _let_1 _let_38 (not _let_37)))) (MACRO_RESOLUTION_TRUST (NOT_AND (ASSUME :args (_let_6))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_94)) :args ((or _let_5 (not _let_93) (not _let_94)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_96)) :args ((or _let_93 (not _let_95) (not _let_96)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.uri_owl_Class QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_82)) _let_83 :args (_let_95 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.uri_owl_Class QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_79)) _let_80 :args (_let_96 false _let_9)) :args (_let_93 false _let_95 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.uri_owl_Class tptp.uri_owl_Thing QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_89)) _let_90 :args (_let_94 false _let_18)) :args (_let_5 false _let_93 false _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_88)) :args ((or _let_4 (not _let_87) (not _let_88)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_92)) :args ((or _let_71 _let_87 (not _let_92)))) _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.uri_owl_Class QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ic X)))) :args _let_61))) _let_62 :args (_let_92 false _let_15)) :args (_let_87 false _let_16 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.uri_owl_Class tptp.uri_owl_Class QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_89)) _let_90 :args (_let_88 false _let_18)) :args (_let_4 false _let_87 false _let_88)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_74)) :args ((or _let_3 (not _let_73) (not _let_74)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_73)) :args ((or _let_71 (not _let_10) _let_73 _let_85))) _let_70 (ASSUME :args (_let_10)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_86)) :args _let_86)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_72))) (REFL :args ((not _let_76))) :args _let_67)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_76 1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_78)) :args ((or _let_75 (not _let_77) (not _let_78)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_82)) _let_83 :args (_let_77 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_79)) _let_80 :args (_let_78 false _let_9)) :args (_let_75 false _let_77 false _let_78)) :args (_let_76 false _let_75)) :args (_let_72 false _let_76)) :args (_let_73 false _let_16 false _let_10 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.uri_owl_Class tptp.uri_owl_Thing QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_41)) _let_40 :args (_let_74 false _let_39)) :args (_let_3 false _let_73 false _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_45)) :args ((or _let_2 (not _let_44) (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_44)) :args ((or _let_71 (not _let_14) _let_44 _let_68))) _let_70 (ASSUME :args (_let_14)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_69)) :args _let_69)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_43))) (REFL :args ((not _let_50))) :args _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_66) :args ((or _let_49 _let_59 _let_65))) _let_64 (REORDERING (CNF_EQUIV_POS1 :args _let_60) :args ((or (not _let_48) _let_51 _let_58))) _let_57 (CNF_EQUIV_NEG2 :args _let_54) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_66) :args ((or (not _let_49) _let_51 _let_65))) _let_64 (REORDERING (CNF_EQUIV_POS2 :args _let_60) :args ((or _let_48 _let_59 _let_58))) _let_57 (REORDERING (CNF_EQUIV_NEG1 :args _let_54) :args ((or _let_49 _let_48 _let_50))) :args ((or _let_48 _let_50) false _let_53 true _let_51 false _let_52 false _let_49)) :args (_let_50 false _let_53 false _let_51 false _let_52 true _let_49 false _let_48)) :args (_let_43 false _let_50)) :args (_let_44 false _let_16 false _let_14 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.uri_owl_Class tptp.uri_rdfs_Class QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_owl_equivalentClass C1 C2)))) :args _let_46)) _let_47 :args (_let_45 false _let_7)) :args (_let_2 false _let_44 false _let_45)) :args ((not _let_1) false _let_5 false _let_4 false _let_3 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.uri_rdfs_Datatype tptp.uri_owl_Class QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_41)) _let_40 :args (_let_37 false _let_39)) :args (_let_38 true _let_1 false _let_37)) :args (_let_36 false _let_16 false _let_12 true _let_35)) :args (_let_34 true _let_33)))) (let ((_let_99 (= _let_30 _let_20))) (let ((_let_100 (not _let_20))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_20 _let_22 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_99)) :args ((or _let_30 _let_100 (not _let_99)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_32 1)) _let_98 :args ((not _let_30) true _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_99 false _let_15)) :args (_let_100 true _let_30 false _let_99)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_27)) :args ((or _let_31 _let_21 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 0)) (CONG (REFL :args (_let_32)) (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_26))) :args _let_67)) :args ((or _let_26 _let_32))) _let_98 :args (_let_26 true _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.icext tptp.uri_rdfs_Datatype X)))) :args _let_28)) _let_29 :args (_let_27 false _let_11)) :args (_let_21 false _let_26 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.idc X) false))))) :args (_let_24))) _let_25 :args (_let_23 false _let_24)) :args (false true _let_20 false _let_21 false _let_23)) :args (_let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54  )
% 0.21/0.54  % SZS output end Proof for SWB004+2
% 0.21/0.54  % cvc5---1.0.5 exiting
% 0.21/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------