TSTP Solution File: BOO011-4 by Matita---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : BOO011-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s

% Computer : n019.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 14 23:44:12 EDT 2022

% Result   : Unsatisfiable 0.21s 0.37s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : BOO011-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.14  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jun  1 19:56:40 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  13955: Facts:
% 0.14/0.36  13955:  Id :   2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.14/0.36  13955:  Id :   3, {_}:
% 0.14/0.36            multiply ?5 ?6 =?= multiply ?6 ?5
% 0.14/0.36            [6, 5] by commutativity_of_multiply ?5 ?6
% 0.14/0.36  13955:  Id :   4, {_}:
% 0.14/0.36            add ?8 (multiply ?9 ?10) =<= multiply (add ?8 ?9) (add ?8 ?10)
% 0.14/0.36            [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.14/0.36  13955:  Id :   5, {_}:
% 0.14/0.36            multiply ?12 (add ?13 ?14)
% 0.14/0.36            =<=
% 0.14/0.36            add (multiply ?12 ?13) (multiply ?12 ?14)
% 0.14/0.36            [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.14/0.36  13955:  Id :   6, {_}: add ?16 additive_identity =>= ?16 [16] by additive_id1 ?16
% 0.14/0.36  13955:  Id :   7, {_}:
% 0.14/0.36            multiply ?18 multiplicative_identity =>= ?18
% 0.14/0.36            [18] by multiplicative_id1 ?18
% 0.14/0.36  13955:  Id :   8, {_}:
% 0.14/0.36            add ?20 (inverse ?20) =>= multiplicative_identity
% 0.14/0.36            [20] by additive_inverse1 ?20
% 0.14/0.36  13955:  Id :   9, {_}:
% 0.14/0.36            multiply ?22 (inverse ?22) =>= additive_identity
% 0.14/0.36            [22] by multiplicative_inverse1 ?22
% 0.14/0.36  13955: Goal:
% 0.14/0.36  13955:  Id :   1, {_}:
% 0.14/0.36            inverse additive_identity =>= multiplicative_identity
% 0.14/0.36            [] by prove_inverse_of_1_is_0
% 0.21/0.36  Statistics :
% 0.21/0.36  Max weight : 10
% 0.21/0.36  Found proof, 0.006689s
% 0.21/0.37  % SZS status Unsatisfiable for theBenchmark.p
% 0.21/0.37  % SZS output start CNFRefutation for theBenchmark.p
% 0.21/0.37  Id :   6, {_}: add ?16 additive_identity =>= ?16 [16] by additive_id1 ?16
% 0.21/0.37  Id :   2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.21/0.37  Id :   8, {_}: add ?20 (inverse ?20) =>= multiplicative_identity [20] by additive_inverse1 ?20
% 0.21/0.37  Id :  56, {_}: add additive_identity ?160 =>= ?160 [160] by Super 2 with 6 at 3
% 0.21/0.37  Id :  88, {_}: inverse additive_identity =>= multiplicative_identity [] by Super 8 with 56 at 2
% 0.21/0.37  Id : 114, {_}: multiplicative_identity === multiplicative_identity [] by Demod 1 with 88 at 2
% 0.21/0.37  Id :   1, {_}: inverse additive_identity =>= multiplicative_identity [] by prove_inverse_of_1_is_0
% 0.21/0.37  % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.37  13958: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.007368 using nrkbo
%------------------------------------------------------------------------------