TSTP Solution File: COL039-1 by Matita---1.0

View Problem - Process Solution

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% File     : Matita---1.0
% Problem  : COL039-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s

% Computer : n018.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 00:35:56 EDT 2022

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COL039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue May 31 11:55:58 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  21368: Facts:
% 0.13/0.34  21368:  Id :   2, {_}:
% 0.13/0.34            apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
% 0.13/0.34            [5, 4, 3] by b_definition ?3 ?4 ?5
% 0.13/0.34  21368:  Id :   3, {_}: apply m ?7 =?= apply ?7 ?7 [7] by m_definition ?7
% 0.13/0.34  21368:  Id :   4, {_}:
% 0.13/0.34            apply (apply o ?9) ?10 =?= apply ?10 (apply ?9 ?10)
% 0.13/0.34            [10, 9] by o_definition ?9 ?10
% 0.13/0.34  21368: Goal:
% 0.13/0.34  21368:  Id :   1, {_}:
% 0.13/0.34            apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
% 0.13/0.34            [1] by prove_fixed_point ?1
% 0.13/0.35  Goal subsumed
% 0.13/0.35  Statistics :
% 0.13/0.35  Max weight : 36
% 0.13/0.35  Found proof, 0.014641s
% 0.13/0.35  % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.35  Id :   3, {_}: apply m ?7 =?= apply ?7 ?7 [7] by m_definition ?7
% 0.13/0.35  Id :   2, {_}: apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5) [5, 4, 3] by b_definition ?3 ?4 ?5
% 0.13/0.35  Id :   4, {_}: apply (apply o ?9) ?10 =?= apply ?10 (apply ?9 ?10) [10, 9] by o_definition ?9 ?10
% 0.13/0.35  Id :   9, {_}: apply m (apply (apply b ?26) ?27) =<= apply ?26 (apply ?27 (apply (apply b ?26) ?27)) [27, 26] by Super 2 with 3 at 2
% 0.13/0.35  Id : 179, {_}: apply (apply o (apply m (apply (apply b o) m))) (f (apply m (apply (apply b o) m))) === apply (apply o (apply m (apply (apply b o) m))) (f (apply m (apply (apply b o) m))) [] by Super 29 with 9 at 1,2
% 0.13/0.35  Id :  29, {_}: apply ?1 (f ?1) =<= apply (apply o ?1) (f ?1) [1] by Demod 1 with 4 at 3
% 0.13/0.35  Id :   1, {_}: apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1)) [1] by prove_fixed_point ?1
% 0.13/0.35  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.35  21371: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.015566 using nrkbo
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