TSTP Solution File: CAT018-4 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : CAT018-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 0.23s 0.59s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : CAT018-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.37 % Computer : n014.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun Aug 27 00:08:47 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.23/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.53 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.a7fDYRbgEL/cvc5---1.0.5_29150.p...
% 0.23/0.54 ------- get file name : TPTP file name is CAT018-4
% 0.23/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29150.smt2...
% 0.23/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.59 % SZS status Unsatisfiable for CAT018-4
% 0.23/0.59 % SZS output start Proof for CAT018-4
% 0.23/0.59 (
% 0.23/0.59 (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 $$unsorted)) (or (not (tptp.there_exists (tptp.domain X))) (tptp.there_exists X))))) (let ((_let_12 (tptp.domain tptp.a))) (let ((_let_13 (tptp.codomain _let_1))) (let ((_let_14 (= _let_13 (tptp.domain _let_12)))) (let ((_let_15 (tptp.there_exists (tptp.compose _let_12 _let_1)))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_14))) (let ((_let_18 (_let_9))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 ((tptp.compose X Y)))) (let ((_let_21 (tptp.codomain tptp.b))) (let ((_let_22 (= _let_21 (tptp.domain _let_21)))) (let ((_let_23 (= _let_12 _let_21))) (let ((_let_24 (= _let_12 _let_13))) (let ((_let_25 (not _let_14))) (let ((_let_26 (tptp.compose _let_21 tptp.b))) (let ((_let_27 (tptp.there_exists _let_26))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_22))) (let ((_let_30 (= tptp.b _let_26))) (let ((_let_31 (tptp.there_exists tptp.b))) (let ((_let_32 (forall ((X $$unsorted)) (= X (tptp.compose (tptp.codomain X) X))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.codomain X)))) :args (_let_32))) _let_33 :args (_let_30 false _let_32)))) (let ((_let_35 (tptp.there_exists (tptp.domain tptp.b)))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_31))) (let ((_let_38 (_let_11))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (not _let_4))) (let ((_let_41 (or _let_40 _let_35))) (let ((_let_42 (_let_10))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 ((tptp.compose X Y)))) (let ((_let_45 (ASSUME :args (_let_4)))) (let ((_let_46 (and _let_31 _let_30))) (let ((_let_47 (_let_31 _let_30))) (let ((_let_48 (ASSUME :args (_let_31)))) (let ((_let_49 (APPLY_UF tptp.there_exists))) (let ((_let_50 (ASSUME :args (_let_30)))) (let ((_let_51 (SYMM _let_50))) (let ((_let_52 (not _let_5))) (let ((_let_53 (or _let_52 _let_23))) (let ((_let_54 (ASSUME :args (_let_5)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_23 (not _let_53)))) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_18)) _let_19 :args (_let_53 false _let_9)) :args (_let_23 false _let_5 false _let_53)))) (let ((_let_56 (not _let_24))) (let ((_let_57 (tptp.there_exists _let_12))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56 _let_2))) (let ((_let_60 (_let_8))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (or _let_52 _let_57))) (let ((_let_63 (not _let_22))) (let ((_let_64 (not _let_23))) (let ((_let_65 (and _let_23 _let_56 _let_22))) (let ((_let_66 (ASSUME :args (_let_56)))) (let ((_let_67 (ASSUME :args (_let_23)))) (let ((_let_68 (SYMM (SYMM _let_67)))) (let ((_let_69 (ASSUME :args (_let_22)))) (let ((_let_70 (= (tptp.compose _let_21 _let_1) (tptp.compose _let_26 tptp.c)))) (let ((_let_71 (_let_7))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (and _let_4 _let_23 _let_30 _let_70))) (let ((_let_74 (APPLY_UF tptp.compose))) (let ((_let_75 (ASSUME :args (_let_70)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_16 _let_14 (not _let_17)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_73)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_45 _let_50 _let_75 _let_67) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (CONG _let_68 (REFL :args (_let_1)) :args _let_74) (SYMM (SYMM _let_75)) (CONG _let_51 (REFL :args (tptp.c)) :args _let_74)) :args _let_49) (TRUE_INTRO _let_45))) :args (_let_4 _let_30 _let_70 _let_23))) :args (_let_4 _let_23 _let_30 _let_70))) :args (true _let_73)) _let_45 _let_55 _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_21 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_15 false _let_4 false _let_23 false _let_30 false _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_65)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_67 _let_69 _let_66) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG _let_68 :args (APPLY_UF tptp.domain)) (SYMM _let_69) (SYMM _let_68)) (REFL :args (_let_13)) :args (=)) (FALSE_INTRO _let_66)) :args ((= _let_14 false)))) :args (_let_23 _let_22 _let_56))) :args (_let_23 _let_56 _let_22))) :args (true _let_65)) (CONG (REFL :args (_let_64)) (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_24))) (REFL :args (_let_63)) (REFL :args (_let_25)) :args (or))) :args ((or _let_24 _let_64 _let_63 _let_25))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_2 _let_58 _let_56 (not _let_59)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_52 _let_57 (not _let_62)))) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_62 false _let_10)) :args (_let_57 false _let_5 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.compose X Y)))) :args _let_60)) _let_61 :args (_let_59 false _let_8)) :args (_let_56 true _let_2 false _let_57 false _let_59)) _let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_22 (not _let_29)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_46)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_48 _let_50) (SCOPE (TRUE_ELIM (TRANS (CONG _let_51 :args _let_49) (TRUE_INTRO _let_48))) :args _let_47)) :args _let_47)) :args (true _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_31 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_35 (not _let_41)))) _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_41 false _let_10)) :args (_let_35 false _let_4 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X)))) :args _let_38)) _let_39 :args (_let_37 false _let_11)) :args (_let_31 false _let_35 false _let_37)) _let_34 :args (_let_27 false _let_31 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_21 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_18))) _let_19 :args (_let_29 false _let_9)) :args (_let_22 false _let_27 false _let_29)) :args (_let_25 true _let_24 false _let_23 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_12 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_18))) _let_19 :args (_let_17 false _let_9)) :args (false false _let_15 true _let_14 false _let_17)) :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 _let_5 _let_4 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.23/0.59 )
% 0.23/0.59 % SZS output end Proof for CAT018-4
% 0.23/0.59 % cvc5---1.0.5 exiting
% 0.23/0.60 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------