%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN170-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n025.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 20:51:30 EDT 2024

% Result   : Unsatisfiable 0.15s 0.36s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (  23 unt;   0 def)
%            Number of atoms       :   23 (  22 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-4 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

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

fof(f27,axiom,
    n0(d,c) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f104,axiom,
    ! [H,G] : ifeq(n0(H,G),true,p1(G,G,G),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f173,axiom,
    ! [B,C,A] : ifeq(p1(B,C,A),true,n2(A),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f278,axiom,
    ! [H] : ifeq(n2(H),true,p3(H,H,H),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f323,axiom,
    ! [J,I] : ifeq(p3(J,J,I),true,p4(I,I,I),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f363,negated_conjecture,
    ! [X,Y] : p4(X,c,Y) != true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f364,plain,
    ! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f390,plain,
    n0(d,c) = true,
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f467,plain,
    ! [X0,X1] : ifeq(n0(X0,X1),true,p1(X1,X1,X1),true) = true,
    inference(cnf_transformation,[status(esa)],[f104]) ).

fof(f536,plain,
    ! [X0,X1,X2] : ifeq(p1(X0,X1,X2),true,n2(X2),true) = true,
    inference(cnf_transformation,[status(esa)],[f173]) ).

fof(f641,plain,
    ! [X0] : ifeq(n2(X0),true,p3(X0,X0,X0),true) = true,
    inference(cnf_transformation,[status(esa)],[f278]) ).

fof(f686,plain,
    ! [X0,X1] : ifeq(p3(X0,X0,X1),true,p4(X1,X1,X1),true) = true,
    inference(cnf_transformation,[status(esa)],[f323]) ).

fof(f726,plain,
    ! [X0,X1] : p4(X0,c,X1) != true,
    inference(cnf_transformation,[status(esa)],[f363]) ).

fof(f1448,plain,
    true = ifeq(true,true,p1(c,c,c),true),
    inference(paramodulation,[status(thm)],[f390,f467]) ).

fof(f1458,plain,
    true = p1(c,c,c),
    inference(forward_demodulation,[status(thm)],[f364,f1448]) ).

fof(f1484,plain,
    true = ifeq(true,true,n2(c),true),
    inference(paramodulation,[status(thm)],[f1458,f536]) ).

fof(f1486,plain,
    true = n2(c),
    inference(forward_demodulation,[status(thm)],[f364,f1484]) ).

fof(f1487,plain,
    true = ifeq(true,true,p3(c,c,c),true),
    inference(paramodulation,[status(thm)],[f1486,f641]) ).

fof(f1491,plain,
    true = p3(c,c,c),
    inference(forward_demodulation,[status(thm)],[f364,f1487]) ).

fof(f1575,plain,
    true = ifeq(true,true,p4(c,c,c),true),
    inference(paramodulation,[status(thm)],[f1491,f686]) ).

fof(f1578,plain,
    true = p4(c,c,c),
    inference(forward_demodulation,[status(thm)],[f364,f1575]) ).

fof(f1579,plain,
    $false,
    inference(resolution,[status(thm)],[f1578,f726]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem  : SYN170-10 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31  % Computer : n025.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Mon Apr 29 22:12:10 EDT 2024
% 0.09/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.6.0
% 0.15/0.36  % Refutation found
% 0.15/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.38  % Elapsed time: 0.065106 seconds
% 0.15/0.38  % CPU time: 0.276430 seconds
% 0.15/0.38  % Total memory used: 35.663 MB
% 0.15/0.38  % Net memory used: 35.593 MB
%------------------------------------------------------------------------------