TSTP Solution File: CAT018-3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : CAT018-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 18:14:37 EDT 2023
% Result : Unsatisfiable 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CAT018-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.34 % Computer : n018.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sun Aug 27 00:48:45 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.8ozMdCRdYV/cvc5---1.0.5_25356.p...
% 0.20/0.49 ------- get file name : TPTP file name is CAT018-3
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25356.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54 % SZS status Unsatisfiable for CAT018-3
% 0.20/0.54 % SZS output start Proof for CAT018-3
% 0.20/0.55 (
% 0.20/0.55 (let ((_let_1 (tptp.compose tptp.b tptp.c))) (let ((_let_2 (tptp.there_exists (tptp.compose tptp.a _let_1)))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.there_exists _let_1))) (let ((_let_5 (tptp.there_exists (tptp.compose tptp.a tptp.b)))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.compose (tptp.codomain X) X) X)))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.compose X (tptp.compose Y Z)) (tptp.compose (tptp.compose X Y) Z))))) (let ((_let_8 (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 ((_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 $$unsorted)) (or (not (tptp.there_exists (tptp.domain X))) (tptp.there_exists X))))) (let ((_let_12 (tptp.codomain tptp.b))) (let ((_let_13 (tptp.domain _let_12))) (let ((_let_14 (tptp.codomain _let_1))) (let ((_let_15 (= _let_14 _let_13))) (let ((_let_16 (tptp.compose _let_12 _let_1))) (let ((_let_17 (tptp.there_exists _let_16))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_15))) (let ((_let_20 (_let_9))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 ((tptp.compose X Y)))) (let ((_let_23 (= _let_12 _let_13))) (let ((_let_24 (tptp.domain tptp.a))) (let ((_let_25 (= _let_24 _let_12))) (let ((_let_26 (= _let_24 _let_14))) (let ((_let_27 (not _let_15))) (let ((_let_28 (tptp.compose _let_12 tptp.b))) (let ((_let_29 (tptp.there_exists _let_28))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_23))) (let ((_let_32 (= tptp.b _let_28))) (let ((_let_33 (tptp.there_exists tptp.b))) (let ((_let_34 (forall ((X $$unsorted)) (= X (tptp.compose (tptp.codomain X) X))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.codomain X)))) :args (_let_34))) _let_35 :args (_let_32 false _let_34)))) (let ((_let_37 (tptp.there_exists (tptp.domain tptp.b)))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_33))) (let ((_let_40 (_let_11))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (not _let_4))) (let ((_let_43 (or _let_42 _let_37))) (let ((_let_44 (_let_10))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 ((tptp.compose X Y)))) (let ((_let_47 (ASSUME :args (_let_4)))) (let ((_let_48 (and _let_33 _let_32))) (let ((_let_49 (_let_33 _let_32))) (let ((_let_50 (ASSUME :args (_let_33)))) (let ((_let_51 (APPLY_UF tptp.there_exists))) (let ((_let_52 (ASSUME :args (_let_32)))) (let ((_let_53 (SYMM _let_52))) (let ((_let_54 (not _let_5))) (let ((_let_55 (or _let_54 _let_25))) (let ((_let_56 (ASSUME :args (_let_5)))) (let ((_let_57 (not _let_26))) (let ((_let_58 (tptp.there_exists _let_24))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_57 _let_2))) (let ((_let_61 (_let_8))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 (or _let_54 _let_58))) (let ((_let_64 (not _let_23))) (let ((_let_65 (not _let_25))) (let ((_let_66 (and _let_25 _let_57 _let_23))) (let ((_let_67 (ASSUME :args (_let_57)))) (let ((_let_68 (ASSUME :args (_let_25)))) (let ((_let_69 (ASSUME :args (_let_23)))) (let ((_let_70 (= _let_16 (tptp.compose _let_28 tptp.c)))) (let ((_let_71 (_let_7))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (and _let_4 _let_32 _let_70))) (let ((_let_74 (_let_4 _let_32 _let_70))) (let ((_let_75 (ASSUME :args (_let_70)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_15 (not _let_19)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_73)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_47 _let_52 _let_75) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (SYMM (SYMM _let_75)) (CONG _let_53 (REFL :args (tptp.c)) :args (APPLY_UF tptp.compose))) :args _let_51) (TRUE_INTRO _let_47))) :args _let_74)) :args _let_74)) :args (true _let_73)) _let_47 _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_12 tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING ((tptp.compose (tptp.compose X Y) Z)))) :args _let_71)) _let_72 :args (_let_70 false _let_7)) :args (_let_17 false _let_4 false _let_32 false _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_66)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_68 _let_69 _let_67) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (SYMM _let_69) (SYMM _let_68)) (REFL :args (_let_14)) :args (=)) (FALSE_INTRO _let_67)) :args ((= _let_15 false)))) :args (_let_25 _let_23 _let_57))) :args (_let_25 _let_57 _let_23))) :args (true _let_66)) (CONG (REFL :args (_let_65)) (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_26))) (REFL :args (_let_64)) (REFL :args (_let_27)) :args (or))) :args ((or _let_26 _let_65 _let_64 _let_27))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_2 _let_59 _let_57 (not _let_60)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_54 _let_58 (not _let_63)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_44)) _let_45 :args (_let_63 false _let_10)) :args (_let_58 false _let_5 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.compose X Y)))) :args _let_61)) _let_62 :args (_let_60 false _let_8)) :args (_let_57 true _let_2 false _let_58 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_54 _let_25 (not _let_55)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_22)) :args _let_20)) _let_21 :args (_let_55 false _let_9)) :args (_let_25 false _let_5 false _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_23 (not _let_31)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_48)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_50 _let_52) (SCOPE (TRUE_ELIM (TRANS (CONG _let_53 :args _let_51) (TRUE_INTRO _let_50))) :args _let_49)) :args _let_49)) :args (true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_33 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_37 (not _let_43)))) _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_44)) _let_45 :args (_let_43 false _let_10)) :args (_let_37 false _let_4 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X)))) :args _let_40)) _let_41 :args (_let_39 false _let_11)) :args (_let_33 false _let_37 false _let_39)) _let_36 :args (_let_29 false _let_33 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_12 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_22)) :args _let_20))) _let_21 :args (_let_31 false _let_9)) :args (_let_23 false _let_29 false _let_31)) :args (_let_27 true _let_26 false _let_25 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_12 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_22)) :args _let_20))) _let_21 :args (_let_19 false _let_9)) :args (false false _let_17 true _let_15 false _let_19)) :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))) _let_11 (forall ((X $$unsorted)) (or (not (tptp.there_exists (tptp.codomain X))) (tptp.there_exists X))) _let_10 _let_9 _let_8 _let_7 (forall ((X $$unsorted)) (= (tptp.compose X (tptp.domain X)) X)) _let_6 (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_5 _let_4 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.55 )
% 0.20/0.55 % SZS output end Proof for CAT018-3
% 0.20/0.55 % cvc5---1.0.5 exiting
% 0.20/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------