TSTP Solution File: CAT003-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : CAT003-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n032.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 18:14:28 EDT 2023

% Result   : Unsatisfiable 0.60s 0.86s
% Output   : Proof 0.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : CAT003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.09  % Command    : do_cvc5 %s %d
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Sun Aug 27 00:30:29 EDT 2023
% 0.08/0.28  % CPUTime    : 
% 0.13/0.37  %----Proving TF0_NAR, FOF, or CNF
% 0.13/0.37  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ZlbMEIPoVe/cvc5---1.0.5_16567.p...
% 0.13/0.38  ------- get file name : TPTP file name is CAT003-1
% 0.13/0.38  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16567.smt2...
% 0.13/0.38  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.60/0.86  % SZS status Unsatisfiable for CAT003-1
% 0.60/0.86  % SZS output start Proof for CAT003-1
% 0.60/0.86  (
% 0.60/0.86  (let ((_let_1 (= tptp.h tptp.g))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.product tptp.g tptp.a tptp.d))) (let ((_let_4 (tptp.product tptp.h tptp.a tptp.d))) (let ((_let_5 (forall ((X $$unsorted) (W $$unsorted) (Y $$unsorted)) (or (not (tptp.product X tptp.c W)) (not (tptp.product Y tptp.c W)) (= X Y))))) (let ((_let_6 (tptp.product tptp.a tptp.b tptp.c))) (let ((_let_7 (forall ((X $$unsorted)) (tptp.product X (tptp.domain X) X)))) (let ((_let_8 (forall ((X $$unsorted)) (tptp.identity_map (tptp.domain X))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.defined X Y)) (not (tptp.defined Y Z)) (not (tptp.identity_map Y)) (tptp.defined X Z))))) (let ((_let_10 (forall ((Y $$unsorted) (Z $$unsorted) (Yz $$unsorted) (X $$unsorted) (Xy $$unsorted)) (or (not (tptp.product Y Z Yz)) (not (tptp.product X Y Xy)) (not (tptp.defined X Yz)) (tptp.defined Xy Z))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Xy $$unsorted) (Z $$unsorted) (Xyz $$unsorted) (Yz $$unsorted)) (or (not (tptp.product X Y Xy)) (not (tptp.product Xy Z Xyz)) (not (tptp.product Y Z Yz)) (tptp.product X Yz Xyz))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Xy $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y Xy)) (not (tptp.defined Xy Z)) (tptp.defined Y Z))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y Z)) (tptp.defined X Y))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.defined X Y)) (tptp.product X Y (tptp.compose X Y)))))) (let ((_let_15 (tptp.compose tptp.d tptp.b))) (let ((_let_16 (tptp.product tptp.h tptp.c _let_15))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.product tptp.g tptp.c _let_15))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17 _let_1))) (let ((_let_21 (_let_5))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (not _let_20))) (let ((_let_24 (not _let_6))) (let ((_let_25 (tptp.product tptp.d tptp.b _let_15))) (let ((_let_26 (not _let_25))) (let ((_let_27 (not _let_3))) (let ((_let_28 (or _let_27 _let_26 _let_24 _let_18))) (let ((_let_29 (_let_11))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 ((not (= (tptp.product X Y Xy) false)) (not (= (tptp.product Xy Z Xyz) false)) (not (= (tptp.product Y Z Yz) false))))) (let ((_let_32 (tptp.defined tptp.d tptp.b))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_25))) (let ((_let_35 (_let_14))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (tptp.domain tptp.a))) (let ((_let_38 (tptp.identity_map _let_37))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.defined _let_37 tptp.b))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.defined tptp.d _let_37))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_41 _let_39 _let_32))) (let ((_let_45 (_let_9))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (tptp.defined tptp.h tptp.a))) (let ((_let_48 (not _let_47))) (let ((_let_49 (not _let_4))) (let ((_let_50 (tptp.product tptp.a _let_37 tptp.a))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49 _let_48 _let_42))) (let ((_let_53 (_let_10))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (_let_7))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (tptp.a QUANTIFIERS_INST_ENUM))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args _let_57) :args _let_55)) _let_56 :args (_let_50 false _let_7)))) (let ((_let_59 (or _let_49 _let_47))) (let ((_let_60 (_let_13))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 ((not (= (tptp.product X Y Z) false))))) (let ((_let_63 (ASSUME :args (_let_4)))) (let ((_let_64 (tptp.defined tptp.a tptp.b))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_51 _let_65 _let_40))) (let ((_let_67 (_let_12))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (or _let_24 _let_64))) (let ((_let_70 (ASSUME :args (_let_6)))) (let ((_let_71 (_let_8))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_25 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_32 _let_39 _let_41 _let_43 (not _let_44)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args _let_57) :args _let_71)) _let_72 :args (_let_38 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_51 _let_40 (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_24 _let_64 (not _let_69)))) _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.a tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_60)) _let_61 :args (_let_69 false _let_13)) :args (_let_64 false _let_6 false _let_69)) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.a _let_37 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Y Xy) false)) (not (= (tptp.defined Xy Z) false))))) :args _let_67)) _let_68 :args (_let_66 false _let_12)) :args (_let_40 false _let_64 false _let_50 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_49 _let_48 _let_51 _let_42 (not _let_52)))) _let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_49 _let_47 (not _let_59)))) _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.h tptp.a tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_60)) _let_61 :args (_let_59 false _let_13)) :args (_let_47 false _let_4 false _let_59)) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.a _let_37 tptp.a tptp.h tptp.d QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product Y Z Yz) false)) (not (= (tptp.product X Y Xy) false))))) :args _let_53)) _let_54 :args (_let_52 false _let_10)) :args (_let_42 false _let_4 false _let_47 false _let_50 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.d _let_37 tptp.b QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.defined X Y) false)) (not (= (tptp.defined Y Z) false))))) :args _let_45)) _let_46 :args (_let_44 false _let_9)) :args (_let_32 false _let_38 false _let_40 false _let_42 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.d tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.defined X Y) false))))) :args _let_35)) _let_36 :args (_let_34 false _let_14)) :args (_let_25 false _let_32 false _let_34)))) (let ((_let_74 (or _let_49 _let_26 _let_24 _let_16))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.g _let_15 tptp.h QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X tptp.c W) false)) (not (= (tptp.product Y tptp.c W) false))))) :args _let_21))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_1 _let_17 _let_19 _let_23))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_24 _let_49 _let_26 _let_16 (not _let_74)))) _let_70 _let_63 _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.h tptp.a tptp.d tptp.b _let_15 tptp.c QUANTIFIERS_INST_E_MATCHING _let_31)) :args _let_29)) _let_30 :args (_let_74 false _let_11)) :args (_let_16 false _let_6 false _let_4 false _let_25 false _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_24 _let_27 _let_26 _let_18 (not _let_28)))) _let_70 (ASSUME :args (_let_3)) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.g tptp.a tptp.d tptp.b _let_15 tptp.c QUANTIFIERS_INST_E_MATCHING _let_31)) :args _let_29)) _let_30 :args (_let_28 false _let_11)) :args (_let_18 false _let_6 false _let_3 false _let_25 false _let_28)) :args (_let_23 true _let_1 false _let_16 false _let_18)) _let_22 :args (false true _let_20 false _let_5)) :args (_let_14 _let_13 _let_12 (forall ((X $$unsorted) (Y $$unsorted) (Xy $$unsorted) (Z $$unsorted) (Yz $$unsorted)) (or (not (tptp.product X Y Xy)) (not (tptp.product Y Z Yz)) (not (tptp.defined Xy Z)) (tptp.defined X Yz))) _let_11 (forall ((Y $$unsorted) (Z $$unsorted) (Yz $$unsorted) (X $$unsorted)) (or (not (tptp.product Y Z Yz)) (not (tptp.defined X Yz)) (tptp.defined X Y))) _let_10 (forall ((Y $$unsorted) (Z $$unsorted) (Yz $$unsorted) (X $$unsorted) (Xyz $$unsorted) (Xy $$unsorted)) (or (not (tptp.product Y Z Yz)) (not (tptp.product X Yz Xyz)) (not (tptp.product X Y Xy)) (tptp.product Xy Z Xyz))) _let_9 _let_8 (forall ((X $$unsorted)) (tptp.identity_map (tptp.codomain X))) (forall ((X $$unsorted)) (tptp.defined X (tptp.domain X))) (forall ((X $$unsorted)) (tptp.defined (tptp.codomain X) X)) _let_7 (forall ((X $$unsorted)) (tptp.product (tptp.codomain X) X X)) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.defined X Y)) (not (tptp.identity_map X)) (tptp.product X Y Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.defined X Y)) (not (tptp.identity_map Y)) (tptp.product X Y X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y Z)) (not (tptp.product X Y W)) (= Z W))) _let_6 _let_5 _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.60/0.86  )
% 0.60/0.87  % SZS output end Proof for CAT003-1
% 0.60/0.87  % cvc5---1.0.5 exiting
% 0.72/0.87  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------