%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : CAT008-1 : 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 18:14:31 EDT 2023

% Result   : Unsatisfiable 0.22s 0.57s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : CAT008-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun Aug 27 00:43:00 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.UWnvbqBUjC/cvc5---1.0.5_21038.p...
% 0.22/0.51  ------- get file name : TPTP file name is CAT008-1
% 0.22/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_21038.smt2...
% 0.22/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.57  % SZS status Unsatisfiable for CAT008-1
% 0.22/0.57  % SZS output start Proof for CAT008-1
% 0.22/0.57  (
% 0.22/0.57  (let ((_let_1 (tptp.codomain tptp.b))) (let ((_let_2 (tptp.domain tptp.a))) (let ((_let_3 (= _let_2 _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.defined tptp.a tptp.b))) (let ((_let_6 (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 ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.defined X Y)) (not (tptp.identity_map Y)) (tptp.product X Y X))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.defined X Y)) (not (tptp.identity_map X)) (tptp.product X Y Y))))) (let ((_let_9 (forall ((X $$unsorted)) (tptp.product (tptp.codomain X) X X)))) (let ((_let_10 (forall ((X $$unsorted)) (tptp.defined X (tptp.domain X))))) (let ((_let_11 (forall ((X $$unsorted)) (tptp.identity_map (tptp.codomain X))))) (let ((_let_12 (forall ((X $$unsorted)) (tptp.identity_map (tptp.domain X))))) (let ((_let_13 (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 ((_let_14 (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_15 (tptp.product _let_1 _let_2 _let_2))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.product _let_1 _let_2 _let_1))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16 _let_3))) (let ((_let_20 (_let_6))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (not _let_19))) (let ((_let_23 (tptp.identity_map _let_2))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.defined _let_1 _let_2))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_17))) (let ((_let_28 (_let_7))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 ((not (= (tptp.defined X Y) false))))) (let ((_let_31 (tptp.defined tptp.a _let_2))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.product tptp.a _let_1 tptp.a))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32 _let_25))) (let ((_let_36 (_let_14))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (tptp.identity_map _let_1))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.defined tptp.a _let_1))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_39 _let_33))) (let ((_let_43 (not _let_5))) (let ((_let_44 (tptp.product _let_1 tptp.b tptp.b))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_43 _let_40))) (let ((_let_47 (_let_13))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (_let_9))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (_let_11))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.codomain X)))) :args _let_51)) _let_52 :args (_let_38 false _let_11)))) (let ((_let_54 (_let_10))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_32 _let_34 _let_25 (not _let_35)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X)))) :args _let_54)) _let_55 :args (_let_31 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_39 _let_41 _let_33 (not _let_42)))) _let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_43 _let_45 _let_40 (not _let_46)))) (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.codomain X)))) :args _let_49)) _let_50 :args (_let_44 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_1 tptp.b tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product Y Z Yz) false)) (not (= (tptp.defined X Yz) false))))) :args _let_47)) _let_48 :args (_let_46 false _let_13)) :args (_let_40 false _let_5 false _let_44 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_28)) _let_29 :args (_let_42 false _let_7)) :args (_let_33 false _let_38 false _let_40 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.a _let_1 tptp.a _let_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Y Xy) false)) (not (= (tptp.defined Xy Z) false))))) :args _let_36)) _let_37 :args (_let_35 false _let_14)) :args (_let_25 false _let_31 false _let_33 false _let_35)))) (let ((_let_57 (_let_12))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (or _let_26 _let_39 _let_15))) (let ((_let_60 (_let_8))) (let ((_let_61 (ASSUME :args _let_60))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_1 _let_2 _let_1 _let_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Y Z) false)) (not (= (tptp.product X Y W) false))))) :args _let_20))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_3 _let_16 _let_18 _let_22))) (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_39 _let_26 _let_15 (not _let_59)))) _let_53 _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.defined X Y) false))))) :args _let_60)) _let_61 :args (_let_59 false _let_8)) :args (_let_15 false _let_38 false _let_25 false _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_24 _let_26 _let_17 (not _let_27)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X)))) :args _let_57)) _let_58 :args (_let_23 false _let_12)) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_28)) _let_29 :args (_let_27 false _let_7)) :args (_let_17 false _let_23 false _let_25 false _let_27)) :args (_let_22 true _let_3 false _let_15 false _let_17)) _let_21 :args (false true _let_19 false _let_6)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.defined X Y)) (tptp.product X Y (tptp.compose X Y)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y Z)) (tptp.defined X Y))) _let_14 (forall ((X $$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))) (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_13 (forall ((Y $$unsorted) (Z $$unsorted) (Yz $$unsorted) (X $$unsorted) (Xy $$unsorted)) (or (not (tptp.product Y Z Yz)) (not (tptp.product X Y Xy)) (not (tptp.defined X Yz)) (tptp.defined Xy Z))) (forall ((Y $$unsorted) (Z $$unsorted) (Yz $$unsorted) (X $$unsorted) (Xyz $$unsorted) (Xy $$unsorted)) (or (not (tptp.product Y Z Yz)) (not (tptp.product X Yz Xyz)) (not (tptp.product X Y Xy)) (tptp.product Xy Z Xyz))) (forall ((X $$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_12 _let_11 _let_10 (forall ((X $$unsorted)) (tptp.defined (tptp.codomain X) X)) (forall ((X $$unsorted)) (tptp.product X (tptp.domain X) X)) _let_9 _let_8 _let_7 _let_6 _let_5 _let_4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.57  )
% 0.22/0.57  % SZS output end Proof for CAT008-1
% 0.22/0.57  % cvc5---1.0.5 exiting
% 0.22/0.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------