%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWB027+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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 20:02:52 EDT 2023

% Result   : Theorem 0.22s 0.57s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13  % Problem    : SWB027+2 : TPTP v8.1.2. Released v5.2.0.
% 0.14/0.15  % Command    : do_cvc5 %s %d
% 0.16/0.36  % Computer : n011.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Sun Aug 27 07:35:24 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.57  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.AwT6s3p4Hv/cvc5---1.0.5_16912.p...
% 0.22/0.57  ------- get file name : TPTP file name is SWB027+2
% 0.22/0.57  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16912.smt2...
% 0.22/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.57  % SZS status Theorem for SWB027+2
% 0.22/0.57  % SZS output start Proof for SWB027+2
% 0.22/0.57  (
% 0.22/0.57  (let ((_let_1 (exists ((BNODE_l1 $$unsorted) (BNODE_l2 $$unsorted) (BNODE_v $$unsorted)) (and (tptp.iext tptp.uri_owl_propertyChainAxiom tptp.uri_owl_sameAs BNODE_l1) (tptp.iext tptp.uri_rdf_first BNODE_l1 tptp.uri_ex_p) (tptp.iext tptp.uri_rdf_rest BNODE_l1 BNODE_l2) (tptp.iext tptp.uri_rdf_first BNODE_l2 BNODE_v) (tptp.iext tptp.uri_rdf_rest BNODE_l2 tptp.uri_rdf_nil) (tptp.iext tptp.uri_owl_inverseOf BNODE_v tptp.uri_ex_p))))) (let ((_let_2 (tptp.iext tptp.uri_rdf_type tptp.uri_ex_p tptp.uri_owl_InverseFunctionalProperty))) (let ((_let_3 (not _let_2))) (let ((_let_4 (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_inverseOf P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext P1 X Y) (tptp.iext P2 Y X)))))))) (let ((_let_5 (forall ((P $$unsorted)) (= (tptp.icext tptp.uri_owl_InverseFunctionalProperty P) (and (tptp.ip P) (forall ((X1 $$unsorted) (X2 $$unsorted) (Y $$unsorted)) (=> (and (tptp.iext P X1 Y) (tptp.iext P X2 Y)) (= X1 X2)))))))) (let ((_let_6 (forall ((P $$unsorted) (S1 $$unsorted) (P1 $$unsorted) (S2 $$unsorted) (P2 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 P1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 P2) (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_propertyChainAxiom P S1) (and (tptp.ip P) (tptp.ip P1) (tptp.ip P2) (forall ((Y0 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (=> (and (tptp.iext P1 Y0 Y1) (tptp.iext P2 Y1 Y2)) (tptp.iext P Y0 Y2))))))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_sameAs X Y) (= X Y))))) (let ((_let_8 (forall ((X $$unsorted) (C $$unsorted)) (= (tptp.iext tptp.uri_rdf_type X C) (tptp.icext C X))))) (let ((_let_9 (tptp.iext tptp.uri_owl_sameAs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (_let_7))) (let ((_let_13 (ASSUME :args _let_12))) (let ((_let_14 (not _let_11))) (let ((_let_15 (tptp.iext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.iext tptp.uri_ex_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16 _let_9))) (let ((_let_20 (forall ((Y0 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (or (not (tptp.iext tptp.uri_ex_p Y0 Y1)) (not (tptp.iext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y1 Y2)) (tptp.iext tptp.uri_owl_sameAs Y0 Y2))))) (let ((_let_21 (tptp.ip SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_22 (tptp.ip tptp.uri_ex_p))) (let ((_let_23 (and (tptp.ip tptp.uri_owl_sameAs) _let_22 _let_21 _let_20))) (let ((_let_24 (tptp.iext tptp.uri_owl_propertyChainAxiom tptp.uri_owl_sameAs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (= _let_24 _let_23))) (let ((_let_26 (tptp.iext tptp.uri_rdf_rest SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.uri_rdf_nil))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.iext tptp.uri_rdf_first SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.iext tptp.uri_rdf_rest SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.iext tptp.uri_rdf_first SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.uri_ex_p))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31 _let_29 _let_27 _let_25))) (let ((_let_35 (forall ((P $$unsorted) (S1 $$unsorted) (P1 $$unsorted) (S2 $$unsorted) (P2 $$unsorted)) (or (not (tptp.iext tptp.uri_rdf_first S1 P1)) (not (tptp.iext tptp.uri_rdf_rest S1 S2)) (not (tptp.iext tptp.uri_rdf_first S2 P2)) (not (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_propertyChainAxiom P S1) (and (tptp.ip P) (tptp.ip P1) (tptp.ip P2) (forall ((Y0 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (or (not (tptp.iext P1 Y0 Y1)) (not (tptp.iext P2 Y1 Y2)) (tptp.iext P Y0 Y2))))))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (tptp.iext tptp.uri_owl_inverseOf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.uri_ex_p))) (let ((_let_38 (not _let_37))) (let ((_let_39 (not _let_24))) (let ((_let_40 (or _let_39 _let_33 _let_31 _let_29 _let_27 _let_38))) (let ((_let_41 (forall ((BNODE_l1 $$unsorted) (BNODE_l2 $$unsorted) (BNODE_v $$unsorted)) (or (not (tptp.iext tptp.uri_owl_propertyChainAxiom tptp.uri_owl_sameAs BNODE_l1)) (not (tptp.iext tptp.uri_rdf_first BNODE_l1 tptp.uri_ex_p)) (not (tptp.iext tptp.uri_rdf_rest BNODE_l1 BNODE_l2)) (not (tptp.iext tptp.uri_rdf_first BNODE_l2 BNODE_v)) (not (tptp.iext tptp.uri_rdf_rest BNODE_l2 tptp.uri_rdf_nil)) (not (tptp.iext tptp.uri_owl_inverseOf BNODE_v tptp.uri_ex_p)))))) (let ((_let_42 (not _let_40))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (or))) (let ((_let_45 (not _let_41))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_43) :args (_let_45))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_41))) (REFL :args (_let_42)) :args _let_44)) _let_43 :args (_let_42 true _let_41)))) (let ((_let_47 (REFL :args (_let_40)))) (let ((_let_48 (_let_20))) (let ((_let_49 (tptp.iext tptp.uri_ex_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_50 (= _let_49 _let_15))) (let ((_let_51 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X Y) (tptp.iext tptp.uri_ex_p Y X))))) (let ((_let_52 (and _let_21 _let_22 _let_51))) (let ((_let_53 (= _let_37 _let_52))) (let ((_let_54 (_let_4))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_53)) :args ((or _let_38 _let_52 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 5)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_44)) :args ((or _let_37 _let_40))) _let_46 :args (_let_37 true _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.uri_ex_p QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_owl_inverseOf P1 P2)))) :args _let_54)) _let_55 :args (_let_53 false _let_4)) :args (_let_52 false _let_37 false _let_53)))) (let ((_let_57 (not _let_52))) (let ((_let_58 (_let_51))) (let ((_let_59 (not _let_49))) (let ((_let_60 (or _let_18 _let_59 _let_10))) (let ((_let_61 (forall ((X1 $$unsorted) (X2 $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_p X1 Y)) (not (tptp.iext tptp.uri_ex_p X2 Y)) (= X1 X2))))) (let ((_let_62 (not _let_60))) (let ((_let_63 (and _let_22 _let_61))) (let ((_let_64 (not _let_61))) (let ((_let_65 (tptp.icext tptp.uri_owl_InverseFunctionalProperty tptp.uri_ex_p))) (let ((_let_66 (= _let_65 _let_63))) (let ((_let_67 (not _let_63))) (let ((_let_68 (forall ((P $$unsorted)) (= (tptp.icext tptp.uri_owl_InverseFunctionalProperty P) (and (tptp.ip P) (forall ((X1 $$unsorted) (X2 $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P X1 Y)) (not (tptp.iext P X2 Y)) (= X1 X2)))))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (= _let_2 _let_65))) (let ((_let_71 (not _let_65))) (let ((_let_72 (_let_8))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (_let_64))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_74)) :args _let_74)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_61))) (REFL :args (_let_62)) :args _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_63)) :args ((or (not _let_22) _let_63 _let_64))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_52 1)) :args ((or _let_22 _let_57))) _let_56 :args (_let_22 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_66)) :args ((or _let_65 _let_67 (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_70)) :args ((or _let_2 _let_71 (not _let_70)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.uri_ex_p tptp.uri_owl_InverseFunctionalProperty QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_rdf_type X C)))) :args _let_72)) _let_73 :args (_let_70 false _let_8)) :args (_let_71 true _let_2 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.uri_ex_p QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.icext tptp.uri_owl_InverseFunctionalProperty P)))) :args (_let_68))) _let_69 :args (_let_66 false _let_68)) :args (_let_67 true _let_65 false _let_66)) :args (_let_64 false _let_22 true _let_63)) :args (_let_62 true _let_61)))) (let ((_let_76 (REFL :args (_let_60)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_owl_sameAs X Y)))) :args _let_12))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_11)) :args ((or _let_10 (not _let_9) _let_14))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_60 2)) _let_75 :args ((not _let_10) true _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_16 _let_9 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 0)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_44)) :args ((or _let_17 _let_60))) _let_75 :args (_let_17 true _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_50)) :args ((or _let_59 _let_15 (not _let_50)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 1)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_49))) :args _let_44)) :args ((or _let_49 _let_60))) _let_75 :args (_let_49 true _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_58) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_ex_p Y X)))) :args _let_58))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_52 2)) :args ((or _let_51 _let_57))) _let_56 :args (_let_51 false _let_52)) :args (_let_50 false _let_51)) :args (_let_15 false _let_49 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_48) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.iext tptp.uri_ex_p Y0 Y1) false)) (not (= (tptp.iext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y1 Y2) false))))) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_23 3)) :args ((or _let_20 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_25)) :args ((or _let_39 _let_23 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 0)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_24))) :args _let_44)) :args ((or _let_24 _let_40))) _let_46 :args (_let_24 true _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_31 _let_29 _let_27 _let_25 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 1)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_44)) :args ((or _let_32 _let_40))) _let_46 :args (_let_32 true _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 2)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_44)) :args ((or _let_30 _let_40))) _let_46 :args (_let_30 true _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 3)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_44)) :args ((or _let_28 _let_40))) _let_46 :args (_let_28 true _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 4)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_44)) :args ((or _let_26 _let_40))) _let_46 :args (_let_26 true _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.uri_owl_sameAs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.uri_ex_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.iext tptp.uri_rdf_first S1 P1) false)) (not (= (tptp.iext tptp.uri_rdf_first S2 P2) false)) (tptp.iext tptp.uri_owl_propertyChainAxiom P S1)))) :args (_let_35))) _let_36 :args (_let_34 false _let_35)) :args (_let_25 false _let_32 false _let_30 false _let_28 false _let_26 false _let_34)) :args (_let_23 false _let_24 false _let_25)) :args (_let_20 false _let_23)) :args (_let_19 false _let_20)) :args (_let_9 false _let_17 false _let_15 false _let_19)) :args (_let_14 true _let_10 false _let_9)) _let_13 :args (false true _let_11 false _let_7)) :args (_let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.57  )
% 0.22/0.57  % SZS output end Proof for SWB027+2
% 0.22/0.57  % cvc5---1.0.5 exiting
% 0.22/0.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------