%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : GRP023-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s

% Computer : n020.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 : Sat Jul 16 10:28:27 EDT 2022

% Result   : Unsatisfiable 0.11s 0.31s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GRP023-2 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.11  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.11/0.30  % Computer : n020.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 600
% 0.11/0.30  % DateTime : Mon Jun 13 18:01:05 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.11/0.31  19900: Facts:
% 0.11/0.31  19900:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.11/0.31  19900:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.11/0.31  19900:  Id :   4, {_}:
% 0.11/0.31            multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.11/0.31            [8, 7, 6] by associativity ?6 ?7 ?8
% 0.11/0.31  19900:  Id :   5, {_}: multiply ?10 identity =>= ?10 [10] by right_identity ?10
% 0.11/0.31  19900:  Id :   6, {_}:
% 0.11/0.31            multiply ?12 (inverse ?12) =>= identity
% 0.11/0.31            [12] by right_inverse ?12
% 0.11/0.31  19900: Goal:
% 0.11/0.31  19900:  Id :   1, {_}: inverse identity =>= identity [] by prove_inverse_of_id_is_id
% 0.11/0.31  Statistics :
% 0.11/0.31  Max weight : 6
% 0.11/0.31  Found proof, 0.002313s
% 0.11/0.31  % SZS status Unsatisfiable for theBenchmark.p
% 0.11/0.31  % SZS output start CNFRefutation for theBenchmark.p
% 0.11/0.31  Id :   5, {_}: multiply ?10 identity =>= ?10 [10] by right_identity ?10
% 0.11/0.31  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.11/0.31  Id :  21, {_}: inverse identity =>= identity [] by Super 3 with 5 at 2
% 0.11/0.31  Id :  64, {_}: identity =?= identity [] by Demod 1 with 21 at 2
% 0.11/0.31  Statistics :
% 0.11/0.31  Id :   1, {_}: inverse identity =>= identity [] by prove_inverse_of_id_is_id
% 0.11/0.31  Max weight : 6
% 0.11/0.31  % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.31  Found proof, 0.002448s
% 0.11/0.31  19901: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.002871 using kbo
% 0.11/0.31  % SZS status Unsatisfiable for theBenchmark.p
% 0.11/0.31  % SZS output start CNFRefutation for theBenchmark.p
% 0.11/0.31  Id :   5, {_}: multiply ?10 identity =>= ?10 [10] by right_identity ?10
% 0.11/0.31  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.11/0.31  Id :  21, {_}: inverse identity =>= identity [] by Super 3 with 5 at 2
% 0.11/0.31  Id :  64, {_}: identity === identity [] by Demod 1 with 21 at 2
% 0.11/0.31  Id :   1, {_}: inverse identity =>= identity [] by prove_inverse_of_id_is_id
% 0.11/0.31  % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.31  19902: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.002943 using lpo
%------------------------------------------------------------------------------