TSTP Solution File: COL030-1 by Matita---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : COL030-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s

% Computer : n017.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 00:35:55 EDT 2022

% Result   : Unsatisfiable 1.04s 0.57s
% Output   : CNFRefutation 1.09s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue May 31 08:27:10 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  26064: Facts:
% 0.12/0.34  26064:  Id :   2, {_}:
% 0.12/0.34            apply (apply (apply s ?3) ?4) ?5
% 0.12/0.34            =?=
% 0.12/0.34            apply (apply ?3 ?5) (apply ?4 ?5)
% 0.12/0.34            [5, 4, 3] by s_definition ?3 ?4 ?5
% 0.12/0.34  26064:  Id :   3, {_}:
% 0.12/0.34            apply (apply l ?7) ?8 =?= apply ?7 (apply ?8 ?8)
% 0.12/0.34            [8, 7] by l_definition ?7 ?8
% 0.12/0.34  26064: Goal:
% 0.12/0.34  26064:  Id :   1, {_}:
% 0.12/0.34            apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
% 0.12/0.34            [1] by prove_fixed_point ?1
% 1.04/0.57  Goal subsumed
% 1.04/0.57  Statistics :
% 1.04/0.57  Max weight : 38
% 1.04/0.57  Found proof, 0.230462s
% 1.04/0.57  % SZS status Unsatisfiable for theBenchmark.p
% 1.04/0.57  % SZS output start CNFRefutation for theBenchmark.p
% 1.04/0.57  Id :   3, {_}: apply (apply l ?7) ?8 =?= apply ?7 (apply ?8 ?8) [8, 7] by l_definition ?7 ?8
% 1.04/0.57  Id :   2, {_}: apply (apply (apply s ?3) ?4) ?5 =?= apply (apply ?3 ?5) (apply ?4 ?5) [5, 4, 3] by s_definition ?3 ?4 ?5
% 1.04/0.57  Id : 139, {_}: apply (apply (apply s l) ?642) ?643 =?= apply ?643 (apply (apply ?642 ?643) (apply ?642 ?643)) [643, 642] by Super 2 with 3 at 3
% 1.04/0.57  Id : 156, {_}: apply (apply (apply s l) ?705) ?706 =?= apply ?706 (apply (apply (apply s ?705) ?705) ?706) [706, 705] by Super 139 with 2 at 2,3
% 1.09/0.57  Id : 233, {_}: apply (f (apply (apply s l) l)) (apply (apply (apply s l) l) (f (apply (apply s l) l))) === apply (f (apply (apply s l) l)) (apply (apply (apply s l) l) (f (apply (apply s l) l))) [] by Super 1 with 156 at 2
% 1.09/0.57  Id :   1, {_}: apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1)) [1] by prove_fixed_point ?1
% 1.09/0.57  % SZS output end CNFRefutation for theBenchmark.p
% 1.09/0.57  26066: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.231149 using lpo
%------------------------------------------------------------------------------