%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP513-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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  : 300s
% DateTime : Tue Apr 30 20:20:50 EDT 2024

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   20 (  20 unt;   0 def)
%            Number of atoms       :   20 (  19 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   43 (  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] : multiply(A,multiply(multiply(B,C),inverse(multiply(A,C)))) = B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f4,plain,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f5,plain,
    ! [X0,X1,X2,X3] : multiply(X0,multiply(X1,inverse(multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X3,X2))))))) = X3,
    inference(paramodulation,[status(thm)],[f3,f3]) ).

fof(f6,plain,
    ! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(X1,multiply(multiply(X2,X3),inverse(multiply(X0,X3)))),inverse(X2))) = X1,
    inference(paramodulation,[status(thm)],[f3,f3]) ).

fof(f7,plain,
    ! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
    inference(paramodulation,[status(thm)],[f3,f5]) ).

fof(f14,plain,
    ! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
    inference(paramodulation,[status(thm)],[f7,f5]) ).

fof(f23,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
    inference(paramodulation,[status(thm)],[f14,f5]) ).

fof(f30,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,X2),inverse(X1))) = multiply(X0,X2),
    inference(paramodulation,[status(thm)],[f14,f6]) ).

fof(f111,plain,
    ! [X0,X1,X2,X3] : multiply(multiply(X0,multiply(X1,inverse(multiply(X1,X2)))),multiply(multiply(X3,X2),inverse(X3))) = X0,
    inference(paramodulation,[status(thm)],[f23,f23]) ).

fof(f112,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,inverse(multiply(X1,X2)))),X2) = X0,
    inference(forward_demodulation,[status(thm)],[f30,f111]) ).

fof(f133,plain,
    ! [X0,X1,X2] : multiply(X0,X1) = multiply(X0,multiply(X2,inverse(multiply(X2,inverse(X1))))),
    inference(paramodulation,[status(thm)],[f112,f30]) ).

fof(f134,plain,
    ! [X0,X1,X2] : multiply(X0,X1) = multiply(X1,multiply(X2,inverse(multiply(X2,inverse(X0))))),
    inference(paramodulation,[status(thm)],[f112,f14]) ).

fof(f135,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(forward_demodulation,[status(thm)],[f133,f134]) ).

fof(f158,plain,
    multiply(inverse(a1),a1) != multiply(b1,inverse(b1)),
    inference(paramodulation,[status(thm)],[f135,f4]) ).

fof(f159,plain,
    multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)),
    inference(forward_demodulation,[status(thm)],[f135,f158]) ).

fof(f160,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(paramodulation,[status(thm)],[f135,f14]) ).

fof(f198,plain,
    ! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
    inference(paramodulation,[status(thm)],[f7,f160]) ).

fof(f199,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f159,f198]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : GRP513-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n013.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Apr 30 00:17:34 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Drodi V3.6.0
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37  % Elapsed time: 0.019930 seconds
% 0.14/0.37  % CPU time: 0.059047 seconds
% 0.14/0.37  % Total memory used: 3.923 MB
% 0.14/0.37  % Net memory used: 3.822 MB
%------------------------------------------------------------------------------