TSTP Solution File: CAT010-10 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : CAT010-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 0.22s 0.56s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CAT010-10 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.16/0.35 % Computer : n001.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sun Aug 27 01:20:46 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.4FnGcJT5dw/cvc5---1.0.5_680.p...
% 0.22/0.50 ------- get file name : TPTP file name is CAT010-10
% 0.22/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_680.smt2...
% 0.22/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.56 % SZS status Unsatisfiable for CAT010-10
% 0.22/0.56 % SZS output start Proof for CAT010-10
% 0.22/0.56 (
% 0.22/0.56 (let ((_let_1 (tptp.codomain tptp.a))) (let ((_let_2 (tptp.compose tptp.a tptp.b))) (let ((_let_3 (tptp.codomain _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 (= _let_6 tptp.true))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.compose (tptp.codomain X) X) X)))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.compose X (tptp.compose Y Z)) (tptp.compose (tptp.compose X Y) Z))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.codomain Y))) (= (tptp.ifeq2 (tptp.there_exists (tptp.compose X Y)) tptp.true (tptp.domain X) _let_1) _let_1))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ifeq (tptp.there_exists (tptp.compose X Y)) tptp.true (tptp.there_exists (tptp.domain X)) tptp.true) tptp.true)))) (let ((_let_12 (forall ((X $$unsorted)) (= (tptp.ifeq (tptp.there_exists (tptp.domain X)) tptp.true (tptp.there_exists X) tptp.true) tptp.true)))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq A A B C) B)))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq2 A A B C) B)))) (let ((_let_15 (= tptp.true _let_6))) (let ((_let_16 (tptp.there_exists (tptp.domain tptp.a)))) (let ((_let_17 (= tptp.true (tptp.ifeq _let_6 tptp.true _let_16 tptp.true)))) (let ((_let_18 (tptp.compose _let_1 tptp.a))) (let ((_let_19 (= tptp.a _let_18))) (let ((_let_20 (= _let_16 (tptp.ifeq tptp.true tptp.true _let_16 tptp.true)))) (let ((_let_21 (tptp.there_exists tptp.a))) (let ((_let_22 (= tptp.true (tptp.ifeq _let_16 tptp.true _let_21 tptp.true)))) (let ((_let_23 (tptp.domain _let_1))) (let ((_let_24 (= _let_1 (tptp.ifeq2 (tptp.there_exists _let_18) tptp.true _let_23 _let_1)))) (let ((_let_25 (tptp.compose _let_1 _let_2))) (let ((_let_26 (= _let_25 (tptp.compose _let_18 tptp.b)))) (let ((_let_27 (= _let_21 (tptp.ifeq tptp.true tptp.true _let_21 tptp.true)))) (let ((_let_28 (= _let_3 (tptp.ifeq2 (tptp.there_exists _let_25) tptp.true _let_23 _let_3)))) (let ((_let_29 (= _let_23 (tptp.ifeq2 tptp.true tptp.true _let_23 _let_3)))) (let ((_let_30 (= _let_23 (tptp.ifeq2 tptp.true tptp.true _let_23 _let_1)))) (let ((_let_31 (SYMM (ASSUME :args (_let_7))))) (let ((_let_32 (ASSUME :args (_let_5)))) (let ((_let_33 (forall ((X $$unsorted) (Y $$unsorted)) (= tptp.true (tptp.ifeq (tptp.there_exists (tptp.compose X Y)) tptp.true (tptp.there_exists (tptp.domain X)) tptp.true))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (forall ((X $$unsorted)) (= X (tptp.compose (tptp.codomain X) X))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq A A B C))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_37))) (let ((_let_40 ((tptp.ifeq A A B C)))) (let ((_let_41 (forall ((X $$unsorted)) (= tptp.true (tptp.ifeq (tptp.there_exists (tptp.domain X)) tptp.true (tptp.there_exists X) tptp.true))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.codomain Y))) (= _let_1 (tptp.ifeq2 (tptp.there_exists (tptp.compose X Y)) tptp.true (tptp.domain X) _let_1)))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_43))) (let ((_let_46 ((tptp.compose X Y)))) (let ((_let_47 (_let_9))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_49))) (let ((_let_52 ((tptp.ifeq2 A A B C)))) (let ((_let_53 (and _let_5 _let_15 _let_17 _let_19 _let_20 _let_22 _let_24 _let_26 _let_27 _let_28 _let_29))) (let ((_let_54 (ASSUME :args (_let_24)))) (let ((_let_55 (APPLY_UF tptp.ifeq2))) (let ((_let_56 (REFL :args (_let_23)))) (let ((_let_57 (REFL :args (tptp.true)))) (let ((_let_58 (APPLY_UF tptp.there_exists))) (let ((_let_59 (ASSUME :args (_let_19)))) (let ((_let_60 (SYMM (SYMM _let_59)))) (let ((_let_61 (ASSUME :args (_let_27)))) (let ((_let_62 (APPLY_UF tptp.ifeq))) (let ((_let_63 (SYMM _let_31))) (let ((_let_64 (SYMM _let_63))) (let ((_let_65 (ASSUME :args (_let_17)))) (let ((_let_66 (ASSUME :args (_let_20)))) (let ((_let_67 (ASSUME :args (_let_22)))) (let ((_let_68 (ASSUME :args (_let_28)))) (let ((_let_69 (ASSUME :args (_let_26)))) (let ((_let_70 (ASSUME :args (_let_29)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_53)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_68 _let_69 _let_67 _let_66 _let_59 _let_65 _let_70 _let_54 _let_32 _let_61 _let_31) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (SYMM (SYMM _let_70)) (CONG (TRANS _let_64 (CONG (TRANS (CONG _let_60 (REFL :args (tptp.b)) :args (APPLY_UF tptp.compose)) (SYMM _let_69)) :args _let_58)) _let_57 _let_56 (REFL :args (_let_3)) :args _let_55) (SYMM _let_68)) (TRANS (CONG (TRANS _let_64 (TRANS _let_63 (SYMM (SYMM _let_67)) (CONG (TRANS (TRANS (SYMM (SYMM _let_66)) (CONG _let_64 _let_57 (REFL :args (_let_16)) _let_57 :args _let_62) (SYMM _let_65) _let_64) _let_63) _let_57 (REFL :args (_let_21)) _let_57 :args _let_62) (SYMM _let_61) (CONG _let_60 :args _let_58))) _let_57 _let_56 (REFL :args (_let_1)) :args _let_55) (SYMM _let_54)) :args (=)) (FALSE_INTRO _let_32))) :args (_let_28 _let_26 _let_22 _let_20 _let_19 _let_17 _let_29 _let_24 _let_5 _let_27 _let_15))) :args (_let_5 _let_15 _let_17 _let_19 _let_20 _let_22 _let_24 _let_26 _let_27 _let_28 _let_29))) :args (true _let_53)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (REFL :args ((not _let_15))) (REFL :args ((not _let_17))) (REFL :args ((not _let_19))) (REFL :args ((not _let_20))) (REFL :args ((not _let_22))) (REFL :args ((not _let_24))) (REFL :args ((not _let_26))) (REFL :args ((not _let_27))) (REFL :args ((not _let_28))) (REFL :args ((not _let_29))) (REFL :args ((not _let_30))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.true _let_23 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_30 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.true _let_23 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_29 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_28 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.true _let_21 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39)) _let_38 :args (_let_27 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_1 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING ((tptp.compose (tptp.compose X Y) Z)))) :args _let_47)) _let_48 :args (_let_26 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_24 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X)))) :args (_let_41))) _let_42 :args (_let_22 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.true _let_16 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39)) _let_38 :args (_let_20 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.codomain X)))) :args (_let_35))) _let_36 :args (_let_19 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.compose X Y)))) :args (_let_33))) _let_34 :args (_let_17 false _let_33)) _let_32 _let_31 :args (false false _let_30 false _let_29 false _let_28 false _let_27 false _let_26 false _let_24 false _let_22 false _let_20 false _let_19 false _let_17 true _let_4 false _let_15)) :args ((forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq3 A A B C) B)) _let_14 _let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ifeq (tptp.equivalent X Y) tptp.true (tptp.there_exists X) tptp.true) tptp.true)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ifeq2 (tptp.equivalent X Y) tptp.true X Y) Y)) (forall ((Y $$unsorted)) (= (tptp.ifeq (tptp.there_exists Y) tptp.true (tptp.equivalent Y Y) tptp.true) tptp.true)) _let_12 (forall ((X $$unsorted)) (= (tptp.ifeq (tptp.there_exists (tptp.codomain X)) tptp.true (tptp.there_exists X) tptp.true) tptp.true)) _let_11 _let_10 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.domain X))) (= (tptp.ifeq (tptp.there_exists _let_1) tptp.true (tptp.ifeq3 _let_1 (tptp.codomain Y) (tptp.there_exists (tptp.compose X Y)) tptp.true) tptp.true) tptp.true))) _let_9 (forall ((X $$unsorted)) (= (tptp.compose X (tptp.domain X)) X)) _let_8 _let_7 _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.56 )
% 0.22/0.57 % SZS output end Proof for CAT010-10
% 0.22/0.57 % cvc5---1.0.5 exiting
% 0.22/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------