TSTP Solution File: CAT009-3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : CAT009-3 : TPTP v8.1.2. Released v1.0.0.
% 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 : Wed Aug 30 18:14:32 EDT 2023
% Result : Unsatisfiable 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT009-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % 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 00:29:02 EDT 2023
% 0.21/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Jp9qNAzJt8/cvc5---1.0.5_22622.p...
% 0.21/0.49 ------- get file name : TPTP file name is CAT009-3
% 0.21/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22622.smt2...
% 0.21/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53 % SZS status Unsatisfiable for CAT009-3
% 0.21/0.53 % SZS output start Proof for CAT009-3
% 0.21/0.53 (
% 0.21/0.53 (let ((_let_1 (tptp.domain tptp.b))) (let ((_let_2 (tptp.compose tptp.a tptp.b))) (let ((_let_3 (tptp.domain _let_2))) (let ((_let_4 (= _let_3 _let_1))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.there_exists _let_2))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.compose X (tptp.domain X)) X)))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.compose X (tptp.compose Y Z)) (tptp.compose (tptp.compose X Y) Z))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.there_exists (tptp.compose X Y))) (= (tptp.domain X) (tptp.codomain Y)))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.there_exists (tptp.compose X Y))) (tptp.there_exists (tptp.domain X)))))) (let ((_let_11 (forall ((X $$unsorted)) (or (not (tptp.there_exists (tptp.codomain X))) (tptp.there_exists X))))) (let ((_let_12 (= _let_3 (tptp.codomain _let_3)))) (let ((_let_13 (tptp.codomain _let_1))) (let ((_let_14 (= _let_3 _let_13))) (let ((_let_15 (= _let_1 _let_13))) (let ((_let_16 (ASSUME :args (_let_5)))) (let ((_let_17 (tptp.compose _let_2 _let_3))) (let ((_let_18 (tptp.there_exists _let_17))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_12))) (let ((_let_21 (_let_9))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 ((tptp.compose X Y)))) (let ((_let_24 (= _let_2 _let_17))) (let ((_let_25 (forall ((X $$unsorted)) (= X (tptp.compose X (tptp.domain X)))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (_let_25))) (let ((_let_28 ((tptp.domain X)))) (let ((_let_29 (ASSUME :args (_let_6)))) (let ((_let_30 (and _let_6 _let_24))) (let ((_let_31 (_let_6 _let_24))) (let ((_let_32 (TRUE_INTRO _let_29))) (let ((_let_33 (APPLY_UF tptp.there_exists))) (let ((_let_34 (ASSUME :args (_let_24)))) (let ((_let_35 (tptp.compose _let_2 _let_1))) (let ((_let_36 (tptp.there_exists _let_35))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_14))) (let ((_let_39 (tptp.compose tptp.b _let_1))) (let ((_let_40 (= (tptp.compose tptp.a _let_39) _let_35))) (let ((_let_41 (= tptp.b _let_39))) (let ((_let_42 (_let_8))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_27)) _let_26 :args (_let_41 false _let_25)))) (let ((_let_45 (and _let_6 _let_41 _let_40))) (let ((_let_46 (_let_6 _let_41 _let_40))) (let ((_let_47 (ASSUME :args (_let_41)))) (let ((_let_48 (SYMM _let_47))) (let ((_let_49 (ASSUME :args (_let_40)))) (let ((_let_50 (tptp.there_exists _let_39))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_15))) (let ((_let_53 (tptp.there_exists tptp.b))) (let ((_let_54 (tptp.codomain tptp.b))) (let ((_let_55 (tptp.there_exists _let_54))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_53))) (let ((_let_58 (_let_11))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (tptp.domain tptp.a))) (let ((_let_61 (= _let_60 _let_54))) (let ((_let_62 (tptp.there_exists _let_60))) (let ((_let_63 (not _let_6))) (let ((_let_64 (or _let_63 _let_61))) (let ((_let_65 (or _let_63 _let_62))) (let ((_let_66 (_let_10))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (and _let_62 _let_61))) (let ((_let_69 (_let_62 _let_61))) (let ((_let_70 (ASSUME :args (_let_62)))) (let ((_let_71 (ASSUME :args (_let_61)))) (let ((_let_72 (and _let_53 _let_41))) (let ((_let_73 (_let_53 _let_41))) (let ((_let_74 (ASSUME :args (_let_53)))) (let ((_let_75 (ASSUME :args (_let_12)))) (let ((_let_76 (SYMM (SYMM _let_75)))) (let ((_let_77 (ASSUME :args (_let_14)))) (let ((_let_78 (ASSUME :args (_let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_75 _let_77 _let_78 _let_16) :args (_let_5 _let_12 _let_15 _let_14)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_16)) (TRUE_INTRO (TRANS _let_76 (SYMM (TRANS (SYMM (SYMM _let_78)) (SYMM _let_77) _let_76)))))) :args (_let_12 _let_14 _let_15 _let_5)) :args ((not (and _let_5 _let_12 _let_15 _let_14)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (REFL :args ((not _let_12))) (REFL :args ((not _let_15))) (REFL :args ((not _let_14))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_15 (not _let_52)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_72)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_74 _let_47) (SCOPE (TRUE_ELIM (TRANS (CONG _let_48 :args _let_33) (TRUE_INTRO _let_74))) :args _let_73)) :args _let_73)) :args (true _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_53 _let_56 (not _let_57)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_68)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_70 _let_71) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_71) :args _let_33) (TRUE_INTRO _let_70))) :args _let_69)) :args _let_69)) :args (true _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_63 _let_62 (not _let_65)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.compose X Y)))) :args _let_66)) _let_67 :args (_let_65 false _let_10)) :args (_let_62 false _let_6 false _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_61 (not _let_64)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_21)) _let_22 :args (_let_64 false _let_9)) :args (_let_61 false _let_6 false _let_64)) :args (_let_55 false _let_62 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.codomain X)))) :args _let_58)) _let_59 :args (_let_57 false _let_11)) :args (_let_53 false _let_55 false _let_57)) _let_44 :args (_let_50 false _let_53 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.b _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_21)) _let_22 :args (_let_52 false _let_9)) :args (_let_15 false _let_50 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_14 (not _let_38)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_45)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_29 _let_47 _let_49) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (SYMM _let_49) (CONG (REFL :args (tptp.a)) _let_48 :args (APPLY_UF tptp.compose))) :args _let_33) _let_32)) :args _let_46)) :args _let_46)) :args (true _let_45)) _let_29 _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.a tptp.b _let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.compose X (tptp.compose Y Z))))) :args _let_42)) _let_43 :args (_let_40 false _let_8)) :args (_let_36 false _let_6 false _let_41 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_21)) _let_22 :args (_let_38 false _let_9)) :args (_let_14 false _let_36 false _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_12 (not _let_20)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_30)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_29 _let_34) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_34) :args _let_33) _let_32)) :args _let_31)) :args _let_31)) :args (true _let_30)) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_27)) _let_26 :args (_let_24 false _let_25)) :args (_let_18 false _let_6 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_2 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_21)) _let_22 :args (_let_20 false _let_9)) :args (_let_12 false _let_18 false _let_20)) _let_16 :args (false false _let_15 false _let_14 false _let_12 true _let_4)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.equivalent X Y)) (tptp.there_exists X))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.equivalent X Y)) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.there_exists X)) (not (= X Y)) (tptp.equivalent X Y))) (forall ((X $$unsorted)) (or (not (tptp.there_exists (tptp.domain X))) (tptp.there_exists X))) _let_11 _let_10 _let_9 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.domain X))) (or (not (tptp.there_exists _let_1)) (not (= _let_1 (tptp.codomain Y))) (tptp.there_exists (tptp.compose X Y))))) _let_8 _let_7 (forall ((X $$unsorted)) (= (tptp.compose (tptp.codomain X) X) X)) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.equivalent X Y)) (tptp.there_exists Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.there_exists X)) (not (tptp.there_exists Y)) (not (= X Y)) (tptp.equivalent X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.there_exists (tptp.compose X Y))) (tptp.there_exists (tptp.codomain X)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.there_exists (tptp.f1 X Y)) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.f1 X Y))) (or (= X _let_1) (= Y _let_1) (= X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.f1 X Y))) (or (not (= X _let_1)) (not (= Y _let_1)) (= X Y)))) _let_6 _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.53 )
% 0.21/0.53 % SZS output end Proof for CAT009-3
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------