TSTP Solution File: COL032-1 by Matita---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : COL032-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s

% Computer : n024.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 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COL032-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33  % Computer : n024.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 12:03:21 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  10348: Facts:
% 0.12/0.34  10348:  Id :   2, {_}: apply m ?3 =?= apply ?3 ?3 [3] by m_definition ?3
% 0.12/0.34  10348:  Id :   3, {_}:
% 0.12/0.34            apply (apply (apply q ?5) ?6) ?7 =>= apply ?6 (apply ?5 ?7)
% 0.12/0.34            [7, 6, 5] by q_definition ?5 ?6 ?7
% 0.12/0.34  10348: Goal:
% 0.12/0.34  10348:  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
% 0.12/0.35  Goal subsumed
% 0.12/0.35  Statistics :
% 0.12/0.35  Max weight : 46
% 0.12/0.35  Found proof, 0.009216s
% 0.12/0.35  % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.35  % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.35  Id :   2, {_}: apply m ?3 =?= apply ?3 ?3 [3] by m_definition ?3
% 0.12/0.35  Id :   3, {_}: apply (apply (apply q ?5) ?6) ?7 =>= apply ?6 (apply ?5 ?7) [7, 6, 5] by q_definition ?5 ?6 ?7
% 0.12/0.35  Id :   7, {_}: apply m (apply (apply q ?15) ?16) =?= apply ?16 (apply ?15 (apply (apply q ?15) ?16)) [16, 15] by Super 2 with 3 at 3
% 0.12/0.35  Id :  50, {_}: apply (f (apply (apply q (apply q m)) m)) (apply m (apply (apply q m) (f (apply (apply q (apply q m)) m)))) === apply (f (apply (apply q (apply q m)) m)) (apply m (apply (apply q m) (f (apply (apply q (apply q m)) m)))) [] by Super 13 with 7 at 2
% 0.12/0.35  Id :  13, {_}: apply ?33 (apply ?32 (f (apply (apply q ?32) ?33))) =<= apply (f (apply (apply q ?32) ?33)) (apply ?33 (apply ?32 (f (apply (apply q ?32) ?33)))) [32, 33] by Demod 12 with 3 at 2
% 0.12/0.35  Id :  12, {_}: apply (apply (apply q ?32) ?33) (f (apply (apply q ?32) ?33)) =<= apply (f (apply (apply q ?32) ?33)) (apply ?33 (apply ?32 (f (apply (apply q ?32) ?33)))) [33, 32] by Super 1 with 3 at 2,3
% 0.12/0.35  Id :   1, {_}: apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1)) [1] by prove_fixed_point ?1
% 0.12/0.35  % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.35  10350: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.010355 using lpo
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