TSTP Solution File: CAT006-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : CAT006-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n023.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 18:14:30 EDT 2023

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : CAT006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun Aug 27 00:42:26 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.1L5bRzQz7l/cvc5---1.0.5_29834.p...
% 0.19/0.49  ------- get file name : TPTP file name is CAT006-1
% 0.19/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29834.smt2...
% 0.19/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.53  % SZS status Unsatisfiable for CAT006-1
% 0.19/0.53  % SZS output start Proof for CAT006-1
% 0.19/0.53  (
% 0.19/0.53  (let ((_let_1 (tptp.codomain tptp.a))) (let ((_let_2 (not (= _let_1 tptp.h)))) (let ((_let_3 (tptp.identity_map tptp.h))) (let ((_let_4 (tptp.defined tptp.h tptp.a))) (let ((_let_5 (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_6 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.defined X Y)) (not (tptp.identity_map Y)) (tptp.product X Y X))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.defined X Y)) (not (tptp.identity_map X)) (tptp.product X Y Y))))) (let ((_let_8 (forall ((X $$unsorted)) (tptp.defined (tptp.codomain X) X)))) (let ((_let_9 (forall ((X $$unsorted)) (tptp.identity_map (tptp.codomain X))))) (let ((_let_10 (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_11 (= tptp.h _let_1))) (let ((_let_12 (tptp.product _let_1 tptp.h tptp.h))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.product _let_1 tptp.h _let_1))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13 _let_11))) (let ((_let_17 (_let_5))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (not _let_16))) (let ((_let_20 (not _let_3))) (let ((_let_21 (tptp.defined _let_1 tptp.h))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_14))) (let ((_let_24 (_let_6))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (tptp.defined _let_1 tptp.a))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.product tptp.h tptp.a tptp.a))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_27 _let_21))) (let ((_let_31 (_let_10))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (not _let_4))) (let ((_let_34 (or _let_33 _let_20 _let_28))) (let ((_let_35 (_let_7))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 ((not (= (tptp.defined X Y) false))))) (let ((_let_38 (ASSUME :args (_let_3)))) (let ((_let_39 (_let_8))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_27 _let_29 _let_21 (not _let_30)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.codomain X)))) :args _let_39)) _let_40 :args (_let_26 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_20 _let_28 (not _let_34)))) (ASSUME :args (_let_4)) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.h tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_34 false _let_7)) :args (_let_28 false _let_4 false _let_3 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.h tptp.a tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product Y Z Yz) false)) (not (= (tptp.defined X Yz) false))))) :args _let_31)) _let_32 :args (_let_30 false _let_10)) :args (_let_21 false _let_26 false _let_28 false _let_30)))) (let ((_let_42 (tptp.identity_map _let_1))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_22 _let_43 _let_12))) (let ((_let_45 (_let_9))) (let ((_let_46 (ASSUME :args _let_45))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_1 tptp.h _let_1 tptp.h QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Y Z) false)) (not (= (tptp.product X Y W) false))))) :args _let_17))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_11 _let_13 _let_15 _let_19))) (SYMM (ASSUME :args (_let_2))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_22 _let_12 (not _let_44)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.codomain X)))) :args _let_45)) _let_46 :args (_let_42 false _let_9)) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_1 tptp.h QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_44 false _let_7)) :args (_let_12 false _let_42 false _let_21 false _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_20 _let_22 _let_14 (not _let_23)))) _let_38 _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_1 tptp.h QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.defined X Y) false))))) :args _let_24)) _let_25 :args (_let_23 false _let_6)) :args (_let_14 false _let_3 false _let_21 false _let_23)) :args (_let_19 true _let_11 false _let_12 false _let_14)) _let_18 :args (false true _let_16 false _let_5)) :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 $$unsorted)) (or (not (tptp.product X Y Z)) (tptp.defined X Y))) (forall ((X $$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_10 (forall ((Y $$unsorted) (Z $$unsorted) (Yz $$unsorted) (X $$unsorted) (Xy $$unsorted)) (or (not (tptp.product Y Z Yz)) (not (tptp.product X Y Xy)) (not (tptp.defined X Yz)) (tptp.defined Xy Z))) (forall ((Y $$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))) (forall ((X $$unsorted)) (tptp.identity_map (tptp.domain X))) _let_9 (forall ((X $$unsorted)) (tptp.defined X (tptp.domain X))) _let_8 (forall ((X $$unsorted)) (tptp.product X (tptp.domain X) X)) (forall ((X $$unsorted)) (tptp.product (tptp.codomain X) X X)) _let_7 _let_6 _let_5 _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.53  )
% 0.19/0.53  % SZS output end Proof for CAT006-1
% 0.19/0.53  % cvc5---1.0.5 exiting
% 0.19/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------