TSTP Solution File: SWB029+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWB029+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 20:02:53 EDT 2023
% Result : Theorem 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWB029+2 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 07:09:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Ae9swHGKfA/cvc5---1.0.5_14225.p...
% 0.20/0.54 ------- get file name : TPTP file name is SWB029+2
% 0.20/0.54 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14225.smt2...
% 0.20/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54 % SZS status Theorem for SWB029+2
% 0.20/0.54 % SZS output start Proof for SWB029+2
% 0.20/0.54 (
% 0.20/0.54 (let ((_let_1 (exists ((BNODE_x $$unsorted) (BNODE_y $$unsorted) (BNODE_l1 $$unsorted) (BNODE_l2 $$unsorted)) (and (tptp.iext tptp.uri_rdf_type tptp.uri_ex_A tptp.uri_owl_Class) (tptp.iext tptp.uri_rdf_type tptp.uri_ex_B tptp.uri_owl_Class) (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w BNODE_x) (tptp.iext tptp.uri_owl_intersectionOf BNODE_x BNODE_l1) (tptp.iext tptp.uri_rdf_first BNODE_l1 tptp.uri_ex_A) (tptp.iext tptp.uri_rdf_rest BNODE_l1 BNODE_l2) (tptp.iext tptp.uri_rdf_first BNODE_l2 BNODE_y) (tptp.iext tptp.uri_rdf_rest BNODE_l2 tptp.uri_rdf_nil) (tptp.iext tptp.uri_owl_complementOf BNODE_y tptp.uri_ex_A))))) (let ((_let_2 (forall ((Z $$unsorted) (S1 $$unsorted) (C1 $$unsorted) (S2 $$unsorted) (C2 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 C1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 C2) (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_intersectionOf Z S1) (and (tptp.ic Z) (tptp.ic C1) (tptp.ic C2) (forall ((X $$unsorted)) (= (tptp.icext Z X) (and (tptp.icext C1 X) (tptp.icext C2 X)))))))))) (let ((_let_3 (forall ((Z $$unsorted) (C $$unsorted)) (=> (tptp.iext tptp.uri_owl_complementOf Z C) (and (tptp.ic Z) (tptp.ic C) (forall ((X $$unsorted)) (= (tptp.icext Z X) (not (tptp.icext C X))))))))) (let ((_let_4 (forall ((X $$unsorted) (C $$unsorted)) (= (tptp.iext tptp.uri_rdf_type X C) (tptp.icext C X))))) (let ((_let_5 (tptp.iext tptp.uri_owl_complementOf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.uri_ex_A))) (let ((_let_6 (tptp.icext tptp.uri_ex_A tptp.uri_ex_w))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.uri_ex_w))) (let ((_let_9 (= _let_8 _let_7))) (let ((_let_10 (tptp.ic tptp.uri_ex_A))) (let ((_let_11 (tptp.ic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_12 (and _let_11 _let_10 _let_9))) (let ((_let_13 (not _let_5))) (let ((_let_14 (or _let_13 _let_12))) (let ((_let_15 (tptp.iext tptp.uri_rdf_rest SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.uri_rdf_nil))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.iext tptp.uri_rdf_first SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.iext tptp.uri_rdf_rest SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.iext tptp.uri_rdf_first SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.uri_ex_A))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.iext tptp.uri_owl_intersectionOf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_22 _let_20 _let_18 _let_16 _let_13))) (let ((_let_28 (forall ((BNODE_x $$unsorted) (BNODE_l1 $$unsorted) (BNODE_l2 $$unsorted) (BNODE_y $$unsorted)) (or (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w BNODE_x)) (not (tptp.iext tptp.uri_owl_intersectionOf BNODE_x BNODE_l1)) (not (tptp.iext tptp.uri_rdf_first BNODE_l1 tptp.uri_ex_A)) (not (tptp.iext tptp.uri_rdf_rest BNODE_l1 BNODE_l2)) (not (tptp.iext tptp.uri_rdf_first BNODE_l2 BNODE_y)) (not (tptp.iext tptp.uri_rdf_rest BNODE_l2 tptp.uri_rdf_nil)) (not (tptp.iext tptp.uri_owl_complementOf BNODE_y tptp.uri_ex_A)))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (or))) (let ((_let_31 (not _let_28))) (let ((_let_32 (_let_31))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_32)) :args _let_32)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_28))) (REFL :args (_let_29)) :args _let_30)) (NOT_OR_ELIM (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (2)) :args (_let_29 true _let_28)))) (let ((_let_34 (REFL :args (_let_27)))) (let ((_let_35 (forall ((Z $$unsorted) (C $$unsorted) (BOUND_VARIABLE_660 $$unsorted)) (or (not (tptp.iext tptp.uri_owl_complementOf Z C)) (and (tptp.ic Z) (tptp.ic C) (= (tptp.icext Z BOUND_VARIABLE_660) (not (tptp.icext C BOUND_VARIABLE_660)))))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (not _let_12))) (let ((_let_38 (not _let_9))) (let ((_let_39 (and _let_6 _let_8))) (let ((_let_40 (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.uri_ex_w))) (let ((_let_41 (= _let_40 _let_39))) (let ((_let_42 (forall ((X $$unsorted)) (= (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X) (and (tptp.icext tptp.uri_ex_A X) (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X)))))) (let ((_let_43 (and (tptp.ic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_10 _let_11 _let_42))) (let ((_let_44 (= _let_23 _let_43))) (let ((_let_45 (or _let_22 _let_20 _let_18 _let_16 _let_44))) (let ((_let_46 (forall ((Z $$unsorted) (S1 $$unsorted) (C1 $$unsorted) (S2 $$unsorted) (C2 $$unsorted)) (or (not (tptp.iext tptp.uri_rdf_first S1 C1)) (not (tptp.iext tptp.uri_rdf_rest S1 S2)) (not (tptp.iext tptp.uri_rdf_first S2 C2)) (not (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_intersectionOf Z S1) (and (tptp.ic Z) (tptp.ic C1) (tptp.ic C2) (forall ((X $$unsorted)) (= (tptp.icext Z X) (and (tptp.icext C1 X) (tptp.icext C2 X)))))))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (_let_42))) (let ((_let_49 (= _let_25 _let_40))) (let ((_let_50 (_let_4))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_41)) :args ((or (not _let_40) _let_39 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_49)) :args ((or _let_26 _let_40 (not _let_49)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_30)) :args ((or _let_25 _let_27))) _let_33 :args (_let_25 true _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.uri_ex_w SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_rdf_type X C)))) :args _let_50)) _let_51 :args (_let_49 false _let_4)) :args (_let_40 false _let_25 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_48) :args (tptp.uri_ex_w QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)))) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_43 3)) :args ((or _let_42 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_44)) :args ((or _let_24 _let_43 (not _let_44)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 1)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_30)) :args ((or _let_23 _let_27))) _let_33 :args (_let_23 true _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_22 _let_20 _let_18 _let_16 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 2)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_30)) :args ((or _let_21 _let_27))) _let_33 :args (_let_21 true _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 3)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_30)) :args ((or _let_19 _let_27))) _let_33 :args (_let_19 true _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 4)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_30)) :args ((or _let_17 _let_27))) _let_33 :args (_let_17 true _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 5)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_30)) :args ((or _let_15 _let_27))) _let_33 :args (_let_15 true _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.uri_ex_A SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.iext tptp.uri_rdf_first S1 C1) false)) (not (= (tptp.iext tptp.uri_rdf_first S2 C2) false)) (tptp.iext tptp.uri_owl_intersectionOf Z S1)))) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_44 false _let_21 false _let_19 false _let_17 false _let_15 false _let_45)) :args (_let_43 false _let_23 false _let_44)) :args (_let_42 false _let_43)) :args (_let_41 false _let_42)) :args (_let_39 false _let_40 false _let_41)))) (let ((_let_53 (not _let_39))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_13 _let_12 (not _let_14)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_12 2)) :args ((or _let_9 _let_37))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_9)) :args ((or _let_7 (not _let_8) _let_38))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 0)) :args ((or _let_6 _let_53))) _let_52 :args (_let_6 false _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 1)) :args ((or _let_8 _let_53))) _let_52 :args (_let_8 false _let_39)) :args (_let_38 false _let_6 false _let_8)) :args (_let_37 true _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.uri_ex_A tptp.uri_ex_w QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.iext tptp.uri_owl_complementOf Z C) false)) (tptp.icext C BOUND_VARIABLE_660)))) :args (_let_35))) _let_36 :args (_let_14 false _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 6)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_5))) :args _let_30)) :args ((or _let_5 _let_27))) _let_33 :args (_let_5 true _let_27)) :args (false true _let_12 false _let_14 false _let_5)) :args (_let_4 _let_3 _let_2 (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_B)) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for SWB029+2
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------