%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : COL033-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/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 0.12s 0.39s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : COL033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue May 31 05:12:55 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  7962: Facts:
% 0.12/0.34  7962:  Id :   2, {_}:
% 0.12/0.34            apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
% 0.12/0.34            [5, 4, 3] by b_definition ?3 ?4 ?5
% 0.12/0.34  7962:  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  7962:  Id :   4, {_}: apply m ?10 =?= apply ?10 ?10 [10] by m_definition ?10
% 0.12/0.34  7962: Goal:
% 0.12/0.34  7962:  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
% 0.12/0.39  Goal subsumed
% 0.12/0.39  Statistics :
% 0.12/0.39  Max weight : 34
% 0.12/0.39  Found proof, 0.052672s
% 0.12/0.39  % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.39  % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.39  Id :   3, {_}: apply (apply l ?7) ?8 =?= apply ?7 (apply ?8 ?8) [8, 7] by l_definition ?7 ?8
% 0.12/0.39  Id :   4, {_}: apply m ?10 =?= apply ?10 ?10 [10] by m_definition ?10
% 0.12/0.39  Id :   2, {_}: apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5) [5, 4, 3] by b_definition ?3 ?4 ?5
% 0.12/0.39  Id :  24, {_}: apply (apply l ?75) ?76 =>= apply ?75 (apply m ?76) [76, 75] by Super 3 with 4 at 2,3
% 0.12/0.39  Id :  37, {_}: apply m (apply l ?101) =<= apply ?101 (apply m (apply l ?101)) [101] by Super 4 with 24 at 3
% 0.12/0.39  Id : 313, {_}: apply (f (apply (apply b m) l)) (apply m (apply l (f (apply (apply b m) l)))) === apply (f (apply (apply b m) l)) (apply m (apply l (f (apply (apply b m) l)))) [] by Super 8 with 37 at 2
% 0.12/0.39  Id :   8, {_}: apply ?20 (apply ?21 (f (apply (apply b ?20) ?21))) =<= apply (f (apply (apply b ?20) ?21)) (apply ?20 (apply ?21 (f (apply (apply b ?20) ?21)))) [21, 20] by Demod 7 with 2 at 2
% 0.12/0.39  Id :   7, {_}: apply (apply (apply b ?20) ?21) (f (apply (apply b ?20) ?21)) =<= apply (f (apply (apply b ?20) ?21)) (apply ?20 (apply ?21 (f (apply (apply b ?20) ?21)))) [21, 20] by Super 1 with 2 at 2,3
% 0.12/0.39  Id :   1, {_}: apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1)) [1] by prove_fixed_point ?1
% 0.12/0.39  % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39  7964: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.053925 using lpo
%------------------------------------------------------------------------------