%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP679-1 : TPTP v8.1.2. Released v4.0.0.
% 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 : Wed May 31 12:12:31 EDT 2023

% Result   : Unsatisfiable 0.21s 0.49s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (  21 unt;   0 def)
%            Number of atoms       :   21 (  20 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   25 (;  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [A,B] : ld(A,mult(A,B)) = B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A] : mult(A,unit) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [A] : mult(unit,A) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [A,B,C] : mult(A,mult(B,mult(A,C))) = mult(mult(A,mult(B,A)),C),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [A] : mult(op_c,A) = mult(A,op_c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    mult(mult(op_c,op_c),a) != mult(a,mult(op_c,op_c)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,plain,
    ! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f14,plain,
    ! [X0] : mult(X0,unit) = X0,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f15,plain,
    ! [X0] : mult(unit,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f16,plain,
    ! [X0,X1,X2] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f17,plain,
    ! [X0] : mult(op_c,X0) = mult(X0,op_c),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f18,plain,
    mult(mult(op_c,op_c),a) != mult(a,mult(op_c,op_c)),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f19,plain,
    ! [X0,X1] : mult(X0,mult(X1,mult(X0,op_c))) = mult(op_c,mult(X0,mult(X1,X0))),
    inference(paramodulation,[status(thm)],[f17,f16]) ).

fof(f26,plain,
    ! [X0,X1] : mult(op_c,mult(X0,mult(op_c,X1))) = mult(mult(op_c,mult(op_c,X0)),X1),
    inference(paramodulation,[status(thm)],[f17,f16]) ).

fof(f40,plain,
    ! [X0] : mult(op_c,mult(X0,mult(op_c,op_c))) = mult(op_c,mult(op_c,mult(op_c,X0))),
    inference(paramodulation,[status(thm)],[f17,f19]) ).

fof(f1609,plain,
    ! [X0] : mult(op_c,mult(unit,mult(op_c,X0))) = mult(mult(op_c,op_c),X0),
    inference(paramodulation,[status(thm)],[f14,f26]) ).

fof(f1610,plain,
    ! [X0] : mult(op_c,mult(op_c,X0)) = mult(mult(op_c,op_c),X0),
    inference(forward_demodulation,[status(thm)],[f15,f1609]) ).

fof(f1650,plain,
    mult(op_c,mult(op_c,a)) != mult(a,mult(op_c,op_c)),
    inference(backward_demodulation,[status(thm)],[f1610,f18]) ).

fof(f1720,plain,
    ! [X0] : ld(op_c,mult(op_c,mult(X0,mult(op_c,op_c)))) = mult(op_c,mult(op_c,X0)),
    inference(paramodulation,[status(thm)],[f40,f11]) ).

fof(f1721,plain,
    ! [X0] : mult(X0,mult(op_c,op_c)) = mult(op_c,mult(op_c,X0)),
    inference(forward_demodulation,[status(thm)],[f11,f1720]) ).

fof(f1722,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f1650,f1721]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP679-1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % 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 May 30 11:24:50 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Drodi V3.5.1
% 0.21/0.49  % Refutation found
% 0.21/0.49  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.49  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.49  % Elapsed time: 0.142021 seconds
% 0.21/0.49  % CPU time: 1.043197 seconds
% 0.21/0.49  % Memory used: 19.673 MB
%------------------------------------------------------------------------------