TSTP Solution File: GRP702-11 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP702-11 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %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  : 300s
% DateTime : Wed May 31 12:12:34 EDT 2023

% Result   : Unsatisfiable 0.10s 0.34s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (  23 unt;   0 def)
%            Number of atoms       :   23 (  22 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   17 (;  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B] : mult(A,ld(A,B)) = B,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A] : mult(A,unit) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [A] : mult(unit,A) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [A,B] : mult(A,mult(B,op_c)) = mult(mult(A,B),op_c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [A] : op_d = ld(A,mult(op_c,A)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,negated_conjecture,
    mult(x0,mult(x1,op_d)) != mult(mult(x0,x1),op_d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,plain,
    ! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f19,plain,
    ! [X0] : mult(X0,unit) = X0,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f20,plain,
    ! [X0] : mult(unit,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f23,plain,
    ! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f25,plain,
    ! [X0] : op_d = ld(X0,mult(op_c,X0)),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f28,plain,
    mult(x0,mult(x1,op_d)) != mult(mult(x0,x1),op_d),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f29,plain,
    ! [X0] : ld(unit,X0) = X0,
    inference(paramodulation,[status(thm)],[f20,f15]) ).

fof(f49,plain,
    op_d = mult(op_c,unit),
    inference(paramodulation,[status(thm)],[f29,f25]) ).

fof(f50,plain,
    op_d = op_c,
    inference(forward_demodulation,[status(thm)],[f19,f49]) ).

fof(f59,plain,
    ! [X0] : mult(X0,op_d) = mult(op_c,X0),
    inference(paramodulation,[status(thm)],[f25,f15]) ).

fof(f60,plain,
    ! [X0] : mult(X0,op_c) = mult(op_c,X0),
    inference(forward_demodulation,[status(thm)],[f50,f59]) ).

fof(f63,plain,
    mult(x0,mult(x1,op_d)) != mult(mult(x0,x1),op_c),
    inference(backward_demodulation,[status(thm)],[f50,f28]) ).

fof(f64,plain,
    mult(x0,mult(x1,op_c)) != mult(mult(x0,x1),op_c),
    inference(forward_demodulation,[status(thm)],[f50,f63]) ).

fof(f65,plain,
    mult(x0,mult(op_c,x1)) != mult(mult(x0,x1),op_c),
    inference(forward_demodulation,[status(thm)],[f60,f64]) ).

fof(f66,plain,
    mult(x0,mult(op_c,x1)) != mult(x0,mult(x1,op_c)),
    inference(forward_demodulation,[status(thm)],[f23,f65]) ).

fof(f67,plain,
    mult(x0,mult(op_c,x1)) != mult(x0,mult(op_c,x1)),
    inference(forward_demodulation,[status(thm)],[f60,f66]) ).

fof(f68,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f67]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : GRP702-11 : TPTP v8.1.2. Released v8.1.0.
% 0.10/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n020.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Tue May 30 11:31:28 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.33  % Drodi V3.5.1
% 0.10/0.34  % Refutation found
% 0.10/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.55  % Elapsed time: 0.011923 seconds
% 0.16/0.55  % CPU time: 0.013047 seconds
% 0.16/0.55  % Memory used: 251.515 KB
%------------------------------------------------------------------------------