%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL186-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n015.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  : 600s
% DateTime : Sun Jul 17 12:50:22 EDT 2022

% Result   : Unsatisfiable 0.62s 0.77s
% Output   : CNFRefutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   16 (  10 unt;   0 nHn;   9 RR)
%            Number of literals    :   24 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   28 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1_3,axiom,
    axiom(or(not(A),or(B,A))) ).

cnf(axiom_1_4,axiom,
    axiom(or(not(or(A,B)),or(B,A))) ).

cnf(rule_1,axiom,
    ( theorem(X)
    | ~ axiom(X) ) ).

cnf(rule_3,axiom,
    ( theorem(or(not(X),Z))
    | ~ axiom(or(not(X),Y))
    | ~ theorem(or(not(Y),Z)) ) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(or(not(not(p)),or(not(p),q))) ).

cnf(refute_0_0,plain,
    ( ~ axiom(or(not(or(X_7,X_8)),or(X_8,X_7)))
    | theorem(or(not(or(X_7,X_8)),or(X_8,X_7))) ),
    inference(subst,[],[rule_1:[bind(X,$fot(or(not(or(X_7,X_8)),or(X_8,X_7))))]]) ).

cnf(refute_0_1,plain,
    axiom(or(not(or(X_7,X_8)),or(X_8,X_7))),
    inference(subst,[],[axiom_1_4:[bind(A,$fot(X_7)),bind(B,$fot(X_8))]]) ).

cnf(refute_0_2,plain,
    theorem(or(not(or(X_7,X_8)),or(X_8,X_7))),
    inference(resolve,[$cnf( axiom(or(not(or(X_7,X_8)),or(X_8,X_7))) )],[refute_0_1,refute_0_0]) ).

cnf(refute_0_3,plain,
    theorem(or(not(or(X_2095,X_2096)),or(X_2096,X_2095))),
    inference(subst,[],[refute_0_2:[bind(X_7,$fot(X_2095)),bind(X_8,$fot(X_2096))]]) ).

cnf(refute_0_4,plain,
    axiom(or(not(X_459),or(B,X_459))),
    inference(subst,[],[axiom_1_3:[bind(A,$fot(X_459))]]) ).

cnf(refute_0_5,plain,
    ( ~ axiom(or(not(X_459),or(B,X_459)))
    | ~ theorem(or(not(or(B,X_459)),X_461))
    | theorem(or(not(X_459),X_461)) ),
    inference(subst,[],[rule_3:[bind(X,$fot(X_459)),bind(Y,$fot(or(B,X_459))),bind(Z,$fot(X_461))]]) ).

cnf(refute_0_6,plain,
    ( ~ theorem(or(not(or(B,X_459)),X_461))
    | theorem(or(not(X_459),X_461)) ),
    inference(resolve,[$cnf( axiom(or(not(X_459),or(B,X_459))) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ theorem(or(not(or(X_2095,X_2096)),or(X_2096,X_2095)))
    | theorem(or(not(X_2096),or(X_2096,X_2095))) ),
    inference(subst,[],[refute_0_6:[bind(B,$fot(X_2095)),bind(X_459,$fot(X_2096)),bind(X_461,$fot(or(X_2096,X_2095)))]]) ).

cnf(refute_0_8,plain,
    theorem(or(not(X_2096),or(X_2096,X_2095))),
    inference(resolve,[$cnf( theorem(or(not(or(X_2095,X_2096)),or(X_2096,X_2095))) )],[refute_0_3,refute_0_7]) ).

cnf(refute_0_9,plain,
    theorem(or(not(not(p)),or(not(p),q))),
    inference(subst,[],[refute_0_8:[bind(X_2095,$fot(q)),bind(X_2096,$fot(not(p)))]]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( theorem(or(not(not(p)),or(not(p),q))) )],[refute_0_9,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL186-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.14/0.34  % Computer : n015.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  : 600
% 0.14/0.34  % DateTime : Sun Jul  3 14:03:45 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.62/0.77  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.77  
% 0.62/0.77  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.62/0.77  
%------------------------------------------------------------------------------