%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : CAT004-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 18:14:29 EDT 2023

% Result   : Unsatisfiable 0.21s 0.56s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : CAT004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n009.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun Aug 27 00:09:05 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.4NyzeXox7Y/cvc5---1.0.5_6069.p...
% 0.21/0.50  ------- get file name : TPTP file name is CAT004-1
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6069.smt2...
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.56  % SZS status Unsatisfiable for CAT004-1
% 0.21/0.56  % SZS output start Proof for CAT004-1
% 0.21/0.56  (
% 0.21/0.56  (let ((_let_1 (= tptp.h tptp.g))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.product tptp.g tptp.c tptp.d))) (let ((_let_4 (tptp.product tptp.h tptp.c tptp.d))) (let ((_let_5 (tptp.product tptp.a tptp.b tptp.c))) (let ((_let_6 (forall ((X $$unsorted) (W $$unsorted) (Y $$unsorted)) (or (not (tptp.product X tptp.b W)) (not (tptp.product Y tptp.b W)) (= X Y))))) (let ((_let_7 (forall ((X $$unsorted) (W $$unsorted) (Y $$unsorted)) (or (not (tptp.product X tptp.a W)) (not (tptp.product Y tptp.a W)) (= X Y))))) (let ((_let_8 (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 ((_let_9 (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_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y Z)) (tptp.defined X Y))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.defined X Y)) (tptp.product X Y (tptp.compose X Y)))))) (let ((_let_12 (tptp.compose tptp.g tptp.a))) (let ((_let_13 (tptp.product tptp.g tptp.a _let_12))) (let ((_let_14 (tptp.compose tptp.h tptp.a))) (let ((_let_15 (= _let_14 _let_12))) (let ((_let_16 (tptp.product tptp.g tptp.a _let_14))) (let ((_let_17 (tptp.defined tptp.g tptp.a))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_13))) (let ((_let_20 (_let_11))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 ((not (= (tptp.defined X Y) false))))) (let ((_let_23 (tptp.defined tptp.g tptp.c))) (let ((_let_24 (not _let_23))) (let ((_let_25 (not _let_5))) (let ((_let_26 (or _let_25 _let_24 _let_17))) (let ((_let_27 (_let_9))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 ((not (= (tptp.product Y Z Yz) false)) (not (= (tptp.defined X Yz) false))))) (let ((_let_30 (not _let_3))) (let ((_let_31 (or _let_30 _let_23))) (let ((_let_32 (_let_10))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 ((not (= (tptp.product X Y Z) false))))) (let ((_let_35 (ASSUME :args (_let_3)))) (let ((_let_36 (ASSUME :args (_let_5)))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_13 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_24 _let_17 (not _let_26)))) _let_36 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_23 (not _let_31)))) _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.g tptp.c tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_32)) _let_33 :args (_let_31 false _let_10)) :args (_let_23 false _let_3 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.a tptp.b tptp.c tptp.g QUANTIFIERS_INST_E_MATCHING _let_29)) :args _let_27)) _let_28 :args (_let_26 false _let_9)) :args (_let_17 false _let_5 false _let_23 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.g tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_22)) :args _let_20)) _let_21 :args (_let_19 false _let_11)) :args (_let_13 false _let_17 false _let_19)))) (let ((_let_38 (tptp.product _let_14 tptp.b tptp.d))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.product _let_12 tptp.b tptp.d))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_39 _let_15))) (let ((_let_43 (_let_6))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (not _let_13))) (let ((_let_46 (or _let_25 _let_30 _let_45 _let_40))) (let ((_let_47 (_let_8))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 ((not (= (tptp.product Y Z Yz) false)) (not (= (tptp.product X Yz Xyz) false)) (not (= (tptp.product X Y Xy) false))))) (let ((_let_50 (tptp.product tptp.h tptp.a _let_14))) (let ((_let_51 (not _let_50))) (let ((_let_52 (not _let_4))) (let ((_let_53 (or _let_25 _let_52 _let_51 _let_38))) (let ((_let_54 (tptp.defined tptp.h tptp.a))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_50))) (let ((_let_57 (tptp.defined tptp.h tptp.c))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_25 _let_58 _let_54))) (let ((_let_60 (or _let_52 _let_57))) (let ((_let_61 (ASSUME :args (_let_4)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_55 _let_50 (not _let_56)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_25 _let_58 _let_54 (not _let_59)))) _let_36 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_52 _let_57 (not _let_60)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.h tptp.c tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_32)) _let_33 :args (_let_60 false _let_10)) :args (_let_57 false _let_4 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.a tptp.b tptp.c tptp.h QUANTIFIERS_INST_E_MATCHING _let_29)) :args _let_27)) _let_28 :args (_let_59 false _let_9)) :args (_let_54 false _let_5 false _let_57 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.h tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_22)) :args _let_20)) _let_21 :args (_let_56 false _let_11)) :args (_let_50 false _let_54 false _let_56)))) (let ((_let_63 (not _let_16))) (let ((_let_64 (or _let_51 _let_63 _let_1))) (let ((_let_65 (_let_7))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (ASSUME :args (_let_63)))) (let ((_let_68 (ASSUME :args (_let_15)))) (let ((_let_69 (ASSUME :args (_let_13)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_67 _let_68 _let_69) :args (_let_13 _let_15 _let_63)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_69)) (CONG (REFL :args (tptp.g)) (REFL :args (tptp.a)) (SYMM _let_68) :args (APPLY_UF tptp.product)) (FALSE_INTRO _let_67))) :args (_let_63 _let_15 _let_13)) :args ((not (and _let_13 _let_15 _let_63)) SB_LITERAL))) (CONG (REFL :args (_let_45)) (REFL :args ((not _let_15))) (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_16))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_1 _let_51 _let_63 (not _let_64)))) (ASSUME :args (_let_2)) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.h _let_14 tptp.g QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X tptp.a W) false)) (not (= (tptp.product Y tptp.a W) false))))) :args _let_65)) _let_66 :args (_let_64 false _let_7)) :args (_let_63 true _let_1 false _let_50 false _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_39 _let_41 _let_15 (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_25 _let_52 _let_51 _let_38 (not _let_53)))) _let_36 _let_61 _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.a tptp.b tptp.c tptp.h tptp.d _let_14 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_53 false _let_8)) :args (_let_38 false _let_5 false _let_4 false _let_50 false _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_25 _let_30 _let_45 _let_40 (not _let_46)))) _let_36 _let_35 _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.a tptp.b tptp.c tptp.g tptp.d _let_12 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_46 false _let_8)) :args (_let_40 false _let_5 false _let_3 false _let_13 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_12 tptp.d _let_14 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X tptp.b W) false)) (not (= (tptp.product Y tptp.b W) false))))) :args _let_43))) _let_44 :args (_let_42 false _let_6)) :args (_let_15 false _let_38 false _let_40 false _let_42)) _let_37 :args (false true _let_16 false _let_15 false _let_13)) :args (_let_11 _let_10 (forall ((X $$unsorted) (Y $$unsorted) (Xy $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y Xy)) (not (tptp.defined Xy Z)) (tptp.defined Y Z))) (forall ((X $$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_9 (forall ((Y $$unsorted) (Z $$unsorted) (Yz $$unsorted) (X $$unsorted) (Xy $$unsorted)) (or (not (tptp.product Y Z Yz)) (not (tptp.product X Y Xy)) (not (tptp.defined X Yz)) (tptp.defined Xy Z))) _let_8 (forall ((X $$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))) (forall ((X $$unsorted)) (tptp.identity_map (tptp.domain X))) (forall ((X $$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)) (forall ((X $$unsorted)) (tptp.product X (tptp.domain X) X)) (forall ((X $$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_7 _let_6 _let_5 _let_4 _let_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.56  )
% 0.38/0.57  % SZS output end Proof for CAT004-1
% 0.38/0.57  % cvc5---1.0.5 exiting
% 0.38/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------