%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : GRP022-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s

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

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

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GRP022-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun 14 14:00:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  22441: Facts:
% 0.13/0.35  22441:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.13/0.35  22441:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.13/0.35  22441:  Id :   4, {_}:
% 0.13/0.35            multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.13/0.35            [8, 7, 6] by associativity ?6 ?7 ?8
% 0.13/0.35  22441:  Id :   5, {_}: multiply ?10 identity =>= ?10 [10] by right_identity ?10
% 0.13/0.35  22441:  Id :   6, {_}:
% 0.13/0.35            multiply ?12 (inverse ?12) =>= identity
% 0.13/0.35            [12] by right_inverse ?12
% 0.13/0.35  22441: Goal:
% 0.13/0.35  22441:  Id :   1, {_}:
% 0.13/0.35            inverse (inverse a) =>= a
% 0.13/0.35            [] by prove_inverse_of_inverse_is_original
% 0.13/0.35  Statistics :
% 0.13/0.35  Max weight : 9
% 0.13/0.35  Found proof, 0.002925s
% 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 :   5, {_}: multiply ?10 identity =>= ?10 [10] by right_identity ?10
% 0.13/0.35  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.13/0.35  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.13/0.35  Id :  11, {_}: multiply (multiply ?21 ?22) ?23 =>= multiply ?21 (multiply ?22 ?23) [23, 22, 21] by associativity ?21 ?22 ?23
% 0.13/0.35  Id :  13, {_}: multiply identity ?28 =<= multiply (inverse ?29) (multiply ?29 ?28) [29, 28] by Super 11 with 3 at 1,2
% 0.13/0.35  Id :  42, {_}: ?75 =<= multiply (inverse ?76) (multiply ?76 ?75) [76, 75] by Demod 13 with 2 at 2
% 0.13/0.35  Id :  44, {_}: ?80 =<= multiply (inverse (inverse ?80)) identity [80] by Super 42 with 3 at 2,3
% 0.13/0.35  Id :  52, {_}: ?80 =<= inverse (inverse ?80) [80] by Demod 44 with 5 at 3
% 0.13/0.35  Id :  77, {_}: a === a [] by Demod 1 with 52 at 2
% 0.13/0.35  Id :   1, {_}: inverse (inverse a) =>= a [] by prove_inverse_of_inverse_is_original
% 0.13/0.35  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.35  22443: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.003766 using lpo
%------------------------------------------------------------------------------