TSTP Solution File: COL010-1 by Matita---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : COL010-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s

% Computer : n029.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 00:35:53 EDT 2022

% Result   : Unsatisfiable 0.19s 0.37s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33  % Computer : n029.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 12:10:14 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  32246: Facts:
% 0.12/0.34  32246:  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  32246:  Id :   3, {_}:
% 0.12/0.34            apply (apply (apply s2 ?7) ?8) ?9
% 0.12/0.34            =?=
% 0.12/0.34            apply (apply ?7 ?9) (apply ?8 ?8)
% 0.12/0.34            [9, 8, 7] by s2_definition ?7 ?8 ?9
% 0.12/0.34  32246: Goal:
% 0.12/0.34  32246:  Id :   1, {_}: ?1 =<= apply combinator ?1 [1] by prove_fixed_point ?1
% 0.19/0.37  Goal subsumed
% 0.19/0.37  Statistics :
% 0.19/0.37  Max weight : 50
% 0.19/0.37  Found proof, 0.028430s
% 0.19/0.37  % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.37  % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.37  Id :   3, {_}: apply (apply (apply s2 ?7) ?8) ?9 =?= apply (apply ?7 ?9) (apply ?8 ?8) [9, 8, 7] by s2_definition ?7 ?8 ?9
% 0.19/0.37  Id :   2, {_}: apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5) [5, 4, 3] by b_definition ?3 ?4 ?5
% 0.19/0.37  Id :   7, {_}: apply (apply (apply s2 (apply b ?23)) ?24) ?25 =?= apply ?23 (apply ?25 (apply ?24 ?24)) [25, 24, 23] by Super 2 with 3 at 2
% 0.19/0.37  Id : 292, {_}: apply combinator (apply (apply (apply s2 (apply b combinator)) (apply s2 (apply b combinator))) (apply (apply s2 (apply b combinator)) (apply s2 (apply b combinator)))) === apply combinator (apply (apply (apply s2 (apply b combinator)) (apply s2 (apply b combinator))) (apply (apply s2 (apply b combinator)) (apply s2 (apply b combinator)))) [] by Super 1 with 7 at 2
% 0.19/0.37  Id :   1, {_}: ?1 =<= apply combinator ?1 [1] by prove_fixed_point ?1
% 0.19/0.37  % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.37  32246: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.030045 using nrkbo
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