TSTP Solution File: CAT002-10 by Matita---1.0

View Problem - Process Solution

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% File     : Matita---1.0
% Problem  : CAT002-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s

% Computer : n019.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  : 600s
% DateTime : Fri Jul 15 00:04:23 EDT 2022

% Result   : Timeout 300.28s 75.38s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CAT002-10 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.13  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34  % Computer : n019.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  : 600
% 0.13/0.34  % DateTime : Sun May 29 17:09:10 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.34  29886: Facts:
% 0.19/0.34  29886:  Id :   2, {_}: ifeq ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.19/0.34  29886:  Id :   3, {_}:
% 0.19/0.34            codomain (domain ?6) =>= domain ?6
% 0.19/0.34            [6] by codomain_of_domain_is_domain ?6
% 0.19/0.34  29886:  Id :   4, {_}:
% 0.19/0.34            domain (codomain ?8) =>= codomain ?8
% 0.19/0.34            [8] by domain_of_codomain_is_codomain ?8
% 0.19/0.34  29886:  Id :   5, {_}: compose (domain ?10) ?10 =>= ?10 [10] by domain_composition ?10
% 0.19/0.34  29886:  Id :   6, {_}:
% 0.19/0.34            compose ?12 (codomain ?12) =>= ?12
% 0.19/0.34            [12] by codomain_composition ?12
% 0.19/0.34  29886:  Id :   7, {_}:
% 0.19/0.34            ifeq (codomain ?14) (domain ?15) (domain (compose ?14 ?15))
% 0.19/0.34              (domain ?14)
% 0.19/0.34            =>=
% 0.19/0.34            domain ?14
% 0.19/0.34            [15, 14] by codomain_domain1 ?14 ?15
% 0.19/0.34  29886:  Id :   8, {_}:
% 0.19/0.34            ifeq (codomain ?17) (domain ?18) (codomain (compose ?17 ?18))
% 0.19/0.34              (codomain ?18)
% 0.19/0.34            =>=
% 0.19/0.34            codomain ?18
% 0.19/0.34            [18, 17] by codomain_domain2 ?17 ?18
% 0.19/0.34  29886:  Id :   9, {_}:
% 0.19/0.34            ifeq (codomain ?20) (domain ?21)
% 0.19/0.34              (ifeq (codomain ?22) (domain ?20) (compose ?22 (compose ?20 ?21))
% 0.19/0.34                (compose (compose ?22 ?20) ?21)) (compose (compose ?22 ?20) ?21)
% 0.19/0.34            =>=
% 0.19/0.34            compose (compose ?22 ?20) ?21
% 0.19/0.34            [22, 21, 20] by star_property ?20 ?21 ?22
% 0.19/0.34  29886:  Id :  10, {_}: codomain a =<= domain b [] by codomain_of_a_equals_domain_of_b
% 0.19/0.34  29886:  Id :  11, {_}:
% 0.19/0.34            ifeq (codomain ?25) (domain a)
% 0.19/0.34              (ifeq (codomain ?26) (domain b)
% 0.19/0.34                (ifeq (compose ?26 a) ?27 (ifeq (compose ?25 a) ?27 ?25 ?26) ?26)
% 0.19/0.34                ?26) ?26
% 0.19/0.34            =>=
% 0.19/0.34            ?26
% 0.19/0.34            [27, 26, 25] by monomorphism1 ?25 ?26 ?27
% 0.19/0.34  29886:  Id :  12, {_}:
% 0.19/0.34            ifeq (codomain ?29) (domain a)
% 0.19/0.34              (ifeq (codomain ?30) (domain b)
% 0.19/0.34                (ifeq (compose ?30 b) ?31 (ifeq (compose ?29 b) ?31 ?29 ?30) ?30)
% 0.19/0.34                ?30) ?30
% 0.19/0.34            =>=
% 0.19/0.34            ?30
% 0.19/0.34            [31, 30, 29] by monomorphism2 ?29 ?30 ?31
% 0.19/0.34  29886:  Id :  13, {_}:
% 0.19/0.34            codomain h =<= domain (compose a b)
% 0.19/0.34            [] by codomain_of_h_equals_domain_of_ab
% 0.19/0.34  29886:  Id :  14, {_}:
% 0.19/0.34            codomain g =<= domain (compose a b)
% 0.19/0.34            [] by codomain_of_g_equals_domain_of_ab
% 0.19/0.34  29886:  Id :  15, {_}:
% 0.19/0.34            compose h (compose a b) =>= compose g (compose a b)
% 0.19/0.34            [] by h_ab_equals_g_ab
% 0.19/0.34  29886: Goal:
% 0.19/0.34  29886:  Id :   1, {_}: h =>= g [] by prove_h_equals_g
% 300.28/75.38  % SZS status Timeout for theBenchmark.p
% 300.28/75.38  % SZS status Timeout for theBenchmark.p
% 300.28/75.38  % SZS status Timeout for theBenchmark.p
% 300.28/75.38  % SZS status Timeout for theBenchmark.p
% 300.28/75.39  % SZS status Timeout for theBenchmark.p
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