%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : SYN083-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s

% Computer : n012.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 : Thu Jul 21 08:51:44 EDT 2022

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN083-1 : 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 : n012.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 : Mon Jul 11 14:11:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  7644: Facts:
% 0.12/0.33  7644:  Id :   2, {_}:
% 0.12/0.33            f ?2 (f ?3 ?4) =?= f (f ?2 ?3) ?4
% 0.12/0.33            [4, 3, 2] by f_is_associative ?2 ?3 ?4
% 0.12/0.33  7644: Goal:
% 0.12/0.33  7644:  Id :   1, {_}: f a (f b (f c d)) =<= f (f (f a b) c) d [] by prove_this
% 0.12/0.34  Statistics :
% 0.12/0.34  Max weight : 14
% 0.12/0.34  Found proof, 0.000999s
% 0.12/0.34  % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.34  % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.34  Id :   2, {_}: f ?2 (f ?3 ?4) =<= f (f ?2 ?3) ?4 [4, 3, 2] by f_is_associative ?2 ?3 ?4
% 0.12/0.34  Id :  10, {_}: f a (f b (f c d)) =?= f a (f b (f c d)) [] by Demod 9 with 2 at 3
% 0.12/0.34  Id :   9, {_}: f a (f b (f c d)) =<= f (f a b) (f c d) [] by Demod 1 with 2 at 3
% 0.12/0.34  Id :   1, {_}: f a (f b (f c d)) =<= f (f (f a b) c) d [] by prove_this
% 0.12/0.34  Statistics :
% 0.12/0.34  % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.34  Max weight : 14
% 0.12/0.34  7645: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.001593 using kbo
% 0.12/0.34  Found proof, 0.001152s
% 0.12/0.34  % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.34  % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.34  Id :   2, {_}: f ?2 (f ?3 ?4) =<= f (f ?2 ?3) ?4 [4, 3, 2] by f_is_associative ?2 ?3 ?4
% 0.12/0.34  Id :  10, {_}: f a (f b (f c d)) === f a (f b (f c d)) [] by Demod 9 with 2 at 3
% 0.12/0.34  Id :   9, {_}: f a (f b (f c d)) =<= f (f a b) (f c d) [] by Demod 1 with 2 at 3
% 0.12/0.34  Id :   1, {_}: f a (f b (f c d)) =<= f (f (f a b) c) d [] by prove_this
% 0.12/0.34  % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.34  7646: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.001756 using lpo
%------------------------------------------------------------------------------