%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : KLE085+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 12:15:45 EDT 2023

% Result   : Theorem 0.23s 0.57s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (  27 unt;   0 def)
%            Number of atoms       :   27 (  26 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   29 (;  28   !;   1   ?)

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

fof(f2,axiom,
    ! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [A] : addition(A,A) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,conjecture,
    ! [X0] : addition(domain(X0),one) = one,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,negated_conjecture,
    ~ ! [X0] : addition(domain(X0),one) = one,
    inference(negated_conjecture,[status(cth)],[f21]) ).

fof(f23,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f24,plain,
    ! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f26,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f40,plain,
    ! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f41,plain,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f46,plain,
    ? [X0] : addition(domain(X0),one) != one,
    inference(pre_NNF_transformation,[status(esa)],[f22]) ).

fof(f47,plain,
    addition(domain(sk0_0),one) != one,
    inference(skolemization,[status(esa)],[f46]) ).

fof(f48,plain,
    addition(domain(sk0_0),one) != one,
    inference(cnf_transformation,[status(esa)],[f47]) ).

fof(f49,plain,
    addition(one,domain(sk0_0)) != one,
    inference(paramodulation,[status(thm)],[f23,f48]) ).

fof(f51,plain,
    ! [X0] : domain(antidomain(X0)) = antidomain(domain(X0)),
    inference(paramodulation,[status(thm)],[f41,f41]) ).

fof(f54,plain,
    ! [X0] : addition(antidomain(X0),antidomain(antidomain(X0))) = one,
    inference(forward_demodulation,[status(thm)],[f23,f40]) ).

fof(f55,plain,
    ! [X0] : addition(antidomain(X0),domain(X0)) = one,
    inference(forward_demodulation,[status(thm)],[f41,f54]) ).

fof(f56,plain,
    ! [X0] : addition(domain(X0),domain(antidomain(X0))) = one,
    inference(paramodulation,[status(thm)],[f41,f55]) ).

fof(f57,plain,
    ! [X0] : addition(domain(X0),antidomain(domain(X0))) = one,
    inference(forward_demodulation,[status(thm)],[f51,f56]) ).

fof(f80,plain,
    ! [X0,X1] : addition(X0,addition(X0,X1)) = addition(X0,X1),
    inference(paramodulation,[status(thm)],[f26,f24]) ).

fof(f90,plain,
    ! [X0] : addition(domain(X0),one) = addition(domain(X0),antidomain(domain(X0))),
    inference(paramodulation,[status(thm)],[f57,f80]) ).

fof(f91,plain,
    ! [X0] : addition(one,domain(X0)) = addition(domain(X0),antidomain(domain(X0))),
    inference(forward_demodulation,[status(thm)],[f23,f90]) ).

fof(f92,plain,
    ! [X0] : addition(one,domain(X0)) = one,
    inference(forward_demodulation,[status(thm)],[f57,f91]) ).

fof(f107,plain,
    one != one,
    inference(backward_demodulation,[status(thm)],[f92,f49]) ).

fof(f108,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f107]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KLE085+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 12:04:53 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.5.1
% 0.23/0.57  % Refutation found
% 0.23/0.57  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/0.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.57  % Elapsed time: 0.012751 seconds
% 0.23/0.57  % CPU time: 0.032461 seconds
% 0.23/0.57  % Memory used: 9.198 MB
%------------------------------------------------------------------------------