TSTP Solution File: COL059-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : COL059-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 20:13:41 EDT 2024

% Result   : Unsatisfiable 0.09s 0.33s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   34 (  34 unt;   0 def)
%            Number of atoms       :   34 (  33 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X1,X2] : response(response(kestrel,X1),X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X1,X2] : response(response(lark,X1),X2) = response(X1,response(X2,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    response(l2,l2) != l2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    response(lark,lark) = l2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    response(l2,lark) = l3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    response(l3,l3) = l3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,plain,
    ! [X0,X1] : response(response(kestrel,X0),X1) = X0,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f10,plain,
    ! [X0,X1] : response(response(lark,X0),X1) = response(X0,response(X1,X1)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f13,plain,
    response(l2,l2) != l2,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f14,plain,
    response(lark,lark) = l2,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f15,plain,
    response(l2,lark) = l3,
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f16,plain,
    response(l3,l3) = l3,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f17,plain,
    ! [X0] : response(l2,X0) = response(lark,response(X0,X0)),
    inference(paramodulation,[status(thm)],[f14,f10]) ).

fof(f26,plain,
    ! [X0] : response(l2,response(kestrel,X0)) = response(lark,X0),
    inference(paramodulation,[status(thm)],[f9,f17]) ).

fof(f27,plain,
    response(l2,lark) = response(lark,l2),
    inference(paramodulation,[status(thm)],[f14,f17]) ).

fof(f28,plain,
    l3 = response(lark,l2),
    inference(forward_demodulation,[status(thm)],[f15,f27]) ).

fof(f29,plain,
    response(l2,l3) = response(lark,l3),
    inference(paramodulation,[status(thm)],[f16,f17]) ).

fof(f34,plain,
    ! [X0] : response(l3,X0) = response(l2,response(X0,X0)),
    inference(paramodulation,[status(thm)],[f28,f10]) ).

fof(f36,plain,
    ! [X0] : response(l3,response(kestrel,X0)) = response(l2,X0),
    inference(paramodulation,[status(thm)],[f9,f34]) ).

fof(f37,plain,
    response(l3,lark) = response(l2,l2),
    inference(paramodulation,[status(thm)],[f14,f34]) ).

fof(f38,plain,
    response(l3,l3) = response(l2,l3),
    inference(paramodulation,[status(thm)],[f16,f34]) ).

fof(f39,plain,
    l3 = response(l2,l3),
    inference(forward_demodulation,[status(thm)],[f16,f38]) ).

fof(f45,plain,
    l3 = response(lark,l3),
    inference(forward_demodulation,[status(thm)],[f39,f29]) ).

fof(f46,plain,
    ! [X0] : response(l3,X0) = response(l3,response(X0,X0)),
    inference(paramodulation,[status(thm)],[f45,f10]) ).

fof(f49,plain,
    ! [X0] : response(l3,response(kestrel,X0)) = response(l3,X0),
    inference(paramodulation,[status(thm)],[f9,f46]) ).

fof(f50,plain,
    ! [X0] : response(l2,X0) = response(l3,X0),
    inference(forward_demodulation,[status(thm)],[f36,f49]) ).

fof(f58,plain,
    ! [X0] : response(l2,response(kestrel,X0)) = response(l2,X0),
    inference(backward_demodulation,[status(thm)],[f50,f36]) ).

fof(f61,plain,
    response(l2,lark) = response(l2,l2),
    inference(backward_demodulation,[status(thm)],[f50,f37]) ).

fof(f62,plain,
    l3 = response(l2,l2),
    inference(forward_demodulation,[status(thm)],[f15,f61]) ).

fof(f74,plain,
    l3 != l2,
    inference(backward_demodulation,[status(thm)],[f62,f13]) ).

fof(f98,plain,
    ! [X0] : response(lark,X0) = response(l2,X0),
    inference(forward_demodulation,[status(thm)],[f26,f58]) ).

fof(f104,plain,
    response(lark,lark) = l3,
    inference(backward_demodulation,[status(thm)],[f98,f15]) ).

fof(f105,plain,
    l2 = l3,
    inference(forward_demodulation,[status(thm)],[f14,f104]) ).

fof(f106,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f105,f74]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : COL059-1 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32  % Computer : n028.cluster.edu
% 0.09/0.32  % Model    : x86_64 x86_64
% 0.09/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32  % Memory   : 8042.1875MB
% 0.09/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32  % CPULimit : 300
% 0.09/0.32  % WCLimit  : 300
% 0.09/0.32  % DateTime : Mon Apr 29 22:47:44 EDT 2024
% 0.09/0.32  % CPUTime  : 
% 0.09/0.33  % Drodi V3.6.0
% 0.09/0.33  % Refutation found
% 0.09/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.35  % Elapsed time: 0.016510 seconds
% 0.09/0.35  % CPU time: 0.036433 seconds
% 0.09/0.35  % Total memory used: 3.488 MB
% 0.09/0.35  % Net memory used: 3.439 MB
%------------------------------------------------------------------------------