%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL190-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n013.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 12:50:24 EDT 2022

% Result   : Unsatisfiable 0.39s 0.55s
% Output   : CNFRefutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   14 (   8 unt;   0 nHn;   7 RR)
%            Number of literals    :   22 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1_4,axiom,
    axiom(or(not(or(A,B)),or(B,A))) ).

cnf(axiom_1_6,axiom,
    axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) ).

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

cnf(rule_2,axiom,
    ( theorem(X)
    | ~ axiom(or(not(Y),X))
    | ~ theorem(Y) ) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(or(not(or(p,or(q,r))),or(p,or(r,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,
    ( ~ axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B))))
    | ~ theorem(or(not(A),B))
    | theorem(or(not(or(C,A)),or(C,B))) ),
    inference(subst,[],[rule_2:[bind(X,$fot(or(not(or(C,A)),or(C,B)))),bind(Y,$fot(or(not(A),B)))]]) ).

cnf(refute_0_4,plain,
    ( ~ theorem(or(not(A),B))
    | theorem(or(not(or(C,A)),or(C,B))) ),
    inference(resolve,[$cnf( axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) )],[axiom_1_6,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ theorem(or(not(or(X_7,X_8)),or(X_8,X_7)))
    | theorem(or(not(or(X_838,or(X_7,X_8))),or(X_838,or(X_8,X_7)))) ),
    inference(subst,[],[refute_0_4:[bind(A,$fot(or(X_7,X_8))),bind(B,$fot(or(X_8,X_7))),bind(C,$fot(X_838))]]) ).

cnf(refute_0_6,plain,
    theorem(or(not(or(X_838,or(X_7,X_8))),or(X_838,or(X_8,X_7)))),
    inference(resolve,[$cnf( theorem(or(not(or(X_7,X_8)),or(X_8,X_7))) )],[refute_0_2,refute_0_5]) ).

cnf(refute_0_7,plain,
    theorem(or(not(or(p,or(q,r))),or(p,or(r,q)))),
    inference(subst,[],[refute_0_6:[bind(X_7,$fot(q)),bind(X_8,$fot(r)),bind(X_838,$fot(p))]]) ).

cnf(refute_0_8,plain,
    $false,
    inference(resolve,[$cnf( theorem(or(not(or(p,or(q,r))),or(p,or(r,q)))) )],[refute_0_7,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL190-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul  4 03:02:44 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.39/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.55  
% 0.39/0.55  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.39/0.55  
%------------------------------------------------------------------------------