%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL226-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n019.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 12:50:52 EDT 2022

% Result   : Unsatisfiable 0.20s 0.43s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   14 (   8 unt;   0 nHn;   9 RR)
%            Number of literals    :   22 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   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   :   30 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1_5,axiom,
    axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) ).

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(q,r)),or(not(or(not(r),s)),or(q,s)))) ).

cnf(refute_0_0,plain,
    ( ~ axiom(or(not(or(not(X_17),X_18)),or(not(or(X_19,X_17)),or(X_19,X_18))))
    | theorem(or(not(or(not(X_17),X_18)),or(not(or(X_19,X_17)),or(X_19,X_18)))) ),
    inference(subst,[],[rule_1:[bind(X,$fot(or(not(or(not(X_17),X_18)),or(not(or(X_19,X_17)),or(X_19,X_18)))))]]) ).

cnf(refute_0_1,plain,
    axiom(or(not(or(not(X_17),X_18)),or(not(or(X_19,X_17)),or(X_19,X_18)))),
    inference(subst,[],[axiom_1_6:[bind(A,$fot(X_17)),bind(B,$fot(X_18)),bind(C,$fot(X_19))]]) ).

cnf(refute_0_2,plain,
    theorem(or(not(or(not(X_17),X_18)),or(not(or(X_19,X_17)),or(X_19,X_18)))),
    inference(resolve,[$cnf( axiom(or(not(or(not(X_17),X_18)),or(not(or(X_19,X_17)),or(X_19,X_18)))) )],[refute_0_1,refute_0_0]) ).

cnf(refute_0_3,plain,
    ( ~ axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))
    | ~ theorem(or(A,or(B,C)))
    | theorem(or(B,or(A,C))) ),
    inference(subst,[],[rule_2:[bind(X,$fot(or(B,or(A,C)))),bind(Y,$fot(or(A,or(B,C))))]]) ).

cnf(refute_0_4,plain,
    ( ~ theorem(or(A,or(B,C)))
    | theorem(or(B,or(A,C))) ),
    inference(resolve,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ theorem(or(not(or(not(X_17),X_18)),or(not(or(X_19,X_17)),or(X_19,X_18))))
    | theorem(or(not(or(X_19,X_17)),or(not(or(not(X_17),X_18)),or(X_19,X_18)))) ),
    inference(subst,[],[refute_0_4:[bind(A,$fot(not(or(not(X_17),X_18)))),bind(B,$fot(not(or(X_19,X_17)))),bind(C,$fot(or(X_19,X_18)))]]) ).

cnf(refute_0_6,plain,
    theorem(or(not(or(X_19,X_17)),or(not(or(not(X_17),X_18)),or(X_19,X_18)))),
    inference(resolve,[$cnf( theorem(or(not(or(not(X_17),X_18)),or(not(or(X_19,X_17)),or(X_19,X_18)))) )],[refute_0_2,refute_0_5]) ).

cnf(refute_0_7,plain,
    theorem(or(not(or(q,r)),or(not(or(not(r),s)),or(q,s)))),
    inference(subst,[],[refute_0_6:[bind(X_17,$fot(r)),bind(X_18,$fot(s)),bind(X_19,$fot(q))]]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL226-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n019.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 : Sun Jul  3 06:14:53 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.43  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.43  
% 0.20/0.43  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.44  
%------------------------------------------------------------------------------