TSTP Solution File: SWB023+2 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWB023+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 20:02:48 EDT 2023
% Result : Theorem 0.20s 0.53s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWB023+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 06:24:34 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.b4PdTUcVpE/cvc5---1.0.5_23561.p...
% 0.20/0.53 ------- get file name : TPTP file name is SWB023+2
% 0.20/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23561.smt2...
% 0.20/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53 % SZS status Theorem for SWB023+2
% 0.20/0.53 % SZS output start Proof for SWB023+2
% 0.20/0.53 (
% 0.20/0.53 (let ((_let_1 (exists ((BNODE_o $$unsorted) (BNODE_l $$unsorted)) (and (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_first tptp.uri_owl_FunctionalProperty) (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w BNODE_o) (tptp.iext tptp.uri_rdf_type BNODE_o tptp.uri_owl_Class) (tptp.iext tptp.uri_owl_oneOf BNODE_o BNODE_l) (tptp.iext tptp.uri_rdf_first BNODE_l tptp.uri_ex_u) (tptp.iext tptp.uri_rdf_first BNODE_l tptp.uri_ex_v) (tptp.iext tptp.uri_rdf_rest BNODE_l tptp.uri_rdf_nil))))) (let ((_let_2 (tptp.iext tptp.uri_owl_sameAs tptp.uri_ex_w tptp.uri_ex_v))) (let ((_let_3 (tptp.iext tptp.uri_owl_sameAs tptp.uri_ex_w tptp.uri_ex_u))) (let ((_let_4 (not (and _let_3 _let_2)))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_sameAs X Y) (= X Y))))) (let ((_let_6 (forall ((P $$unsorted)) (= (tptp.icext tptp.uri_owl_FunctionalProperty P) (and (tptp.ip P) (forall ((X $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (=> (and (tptp.iext P X Y1) (tptp.iext P X Y2)) (= Y1 Y2)))))))) (let ((_let_7 (forall ((Z $$unsorted) (S1 $$unsorted) (A1 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 A1) (tptp.iext tptp.uri_rdf_rest S1 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_oneOf Z S1) (and (tptp.ic Z) (forall ((X $$unsorted)) (= (tptp.icext Z X) (= X A1))))))))) (let ((_let_8 (forall ((X $$unsorted) (C $$unsorted)) (= (tptp.iext tptp.uri_rdf_type X C) (tptp.icext C X))))) (let ((_let_9 (forall ((X $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (or (not (tptp.iext tptp.uri_rdf_first X Y1)) (not (tptp.iext tptp.uri_rdf_first X Y2)) (= Y1 Y2))))) (let ((_let_10 (= tptp.uri_ex_u tptp.uri_ex_v))) (let ((_let_11 (tptp.iext tptp.uri_rdf_first SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.uri_ex_v))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.iext tptp.uri_rdf_first SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.uri_ex_u))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12 _let_10))) (let ((_let_16 (and (tptp.ip tptp.uri_rdf_first) _let_9))) (let ((_let_17 (tptp.icext tptp.uri_owl_FunctionalProperty tptp.uri_rdf_first))) (let ((_let_18 (= _let_17 _let_16))) (let ((_let_19 (forall ((P $$unsorted)) (= (tptp.icext tptp.uri_owl_FunctionalProperty P) (and (tptp.ip P) (forall ((X $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (or (not (tptp.iext P X Y1)) (not (tptp.iext P X Y2)) (= Y1 Y2)))))))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_first tptp.uri_owl_FunctionalProperty))) (let ((_let_22 (= _let_21 _let_17))) (let ((_let_23 (_let_8))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 ((tptp.iext tptp.uri_rdf_type X C)))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (not _let_15))) (let ((_let_28 (= tptp.uri_ex_w tptp.uri_ex_u))) (let ((_let_29 (= tptp.uri_ex_w tptp.uri_ex_v))) (let ((_let_30 (not _let_10))) (let ((_let_31 (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.uri_ex_w))) (let ((_let_32 (= _let_31 _let_28))) (let ((_let_33 (forall ((X $$unsorted)) (= (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X) (= X tptp.uri_ex_u))))) (let ((_let_34 (and (tptp.ic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_33))) (let ((_let_35 (tptp.iext tptp.uri_owl_oneOf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_36 (= _let_35 _let_34))) (let ((_let_37 (tptp.iext tptp.uri_rdf_rest SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.uri_rdf_nil))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_14 _let_38 _let_36))) (let ((_let_40 (forall ((Z $$unsorted) (S1 $$unsorted) (A1 $$unsorted)) (or (not (tptp.iext tptp.uri_rdf_first S1 A1)) (not (tptp.iext tptp.uri_rdf_rest S1 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_oneOf Z S1) (and (tptp.ic Z) (forall ((X $$unsorted)) (= (tptp.icext Z X) (= A1 X))))))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (not _let_35))) (let ((_let_43 (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 (not (tptp.iext tptp.uri_rdf_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.uri_owl_Class)) _let_42 _let_14 _let_12 _let_38))) (let ((_let_46 (forall ((BNODE_o $$unsorted) (BNODE_l $$unsorted)) (or (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w BNODE_o)) (not (tptp.iext tptp.uri_rdf_type BNODE_o tptp.uri_owl_Class)) (not (tptp.iext tptp.uri_owl_oneOf BNODE_o BNODE_l)) (not (tptp.iext tptp.uri_rdf_first BNODE_l tptp.uri_ex_u)) (not (tptp.iext tptp.uri_rdf_first BNODE_l tptp.uri_ex_v)) (not (tptp.iext tptp.uri_rdf_rest BNODE_l tptp.uri_rdf_nil)))))) (let ((_let_47 (not _let_45))) (let ((_let_48 (or))) (let ((_let_49 (not _let_46))) (let ((_let_50 (_let_49))) (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_49) _let_46))) (REFL :args (_let_47)) :args _let_48)) (NOT_OR_ELIM _let_26 :args (1)) :args (_let_47 true _let_46)))) (let ((_let_52 (REFL :args (_let_45)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 3)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_48)) :args ((or _let_13 _let_45))) _let_51 :args (_let_13 true _let_45)))) (let ((_let_54 (_let_33))) (let ((_let_55 (= _let_43 _let_31))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_32)) :args ((or _let_28 (not _let_31) (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_55)) :args ((or _let_44 _let_31 (not _let_55)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 0)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_48)) :args ((or _let_43 _let_45))) _let_51 :args (_let_43 true _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.uri_ex_w SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_23)) _let_24 :args (_let_55 false _let_8)) :args (_let_31 false _let_43 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_54) :args (tptp.uri_ex_w QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)))) :args _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_34 1)) :args ((or _let_33 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_36)) :args ((or _let_42 _let_34 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 2)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_35))) :args _let_48)) :args ((or _let_35 _let_45))) _let_51 :args (_let_35 true _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_14 _let_38 _let_36 (not _let_39)))) _let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 5)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_48)) :args ((or _let_37 _let_45))) _let_51 :args (_let_37 true _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.uri_ex_u QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.iext tptp.uri_rdf_first S1 A1) false)) (tptp.iext tptp.uri_owl_oneOf Z S1)))) :args (_let_40)))) _let_41 :args (_let_39 false _let_40)) :args (_let_36 false _let_13 false _let_37 false _let_39)) :args (_let_34 false _let_35 false _let_36)) :args (_let_33 false _let_34)) :args (_let_32 false _let_33)) :args (_let_28 false _let_31 false _let_32)))) (let ((_let_57 (= _let_2 _let_29))) (let ((_let_58 (not _let_29))) (let ((_let_59 (_let_5))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 ((tptp.iext tptp.uri_owl_sameAs X Y)))) (let ((_let_62 (= _let_3 _let_28))) (let ((_let_63 (not _let_28))) (let ((_let_64 (and _let_28 _let_58))) (let ((_let_65 (_let_28 _let_58))) (let ((_let_66 (ASSUME :args (_let_58)))) (let ((_let_67 (ASSUME :args (_let_28)))) (let ((_let_68 (_let_9))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_68) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.uri_ex_u tptp.uri_ex_v QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.iext tptp.uri_rdf_first X Y1) false)) (not (= (tptp.iext tptp.uri_rdf_first X Y2) false))))) :args _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_12 _let_10 _let_27))) _let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 4)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_48)) :args ((or _let_11 _let_45))) _let_51 :args (_let_11 true _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_64)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_67 _let_66) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_67) (REFL :args (tptp.uri_ex_v)) :args (=)) (FALSE_INTRO _let_66))) :args _let_65)) :args _let_65)) :args (true _let_64)) (CONG (REFL :args (_let_63)) (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_29))) (REFL :args (_let_30)) :args _let_48)) :args ((or _let_29 _let_63 _let_30))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_57)) :args ((or _let_2 _let_58 (not _let_57)))) (MACRO_RESOLUTION_TRUST (NOT_AND (ASSUME :args (_let_4))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_62)) :args ((or _let_3 _let_63 (not _let_62)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.uri_ex_w tptp.uri_ex_u QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_59)) _let_60 :args (_let_62 false _let_5)) :args (_let_3 false _let_28 false _let_62)) :args ((not _let_2) false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.uri_ex_w tptp.uri_ex_v QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_59)) _let_60 :args (_let_57 false _let_5)) :args (_let_58 true _let_2 false _let_57)) _let_56 :args (_let_30 true _let_29 false _let_28)) :args (_let_27 false _let_13 false _let_11 true _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_16 1)) :args ((or _let_9 (not _let_16)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_18)) :args ((or (not _let_17) _let_16 (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_22)) :args ((or (not _let_21) _let_17 (not _let_22)))) (NOT_NOT_ELIM (NOT_OR_ELIM _let_26 :args (0))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.uri_rdf_first tptp.uri_owl_FunctionalProperty QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_23)) _let_24 :args (_let_22 false _let_8)) :args (_let_17 false _let_21 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.uri_rdf_first QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.icext tptp.uri_owl_FunctionalProperty P)))) :args (_let_19))) _let_20 :args (_let_18 false _let_19)) :args (_let_16 false _let_17 false _let_18)) :args (_let_9 false _let_16)) :args (false true _let_15 false _let_9)) :args (_let_8 _let_7 _let_6 _let_5 _let_4 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for SWB023+2
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------