%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN122-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n011.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 : Thu Jul 21 08:59:50 EDT 2022

% Result   : Unsatisfiable 0.40s 0.57s
% Output   : CNFRefutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   35 (  17 unt;   0 nHn;  23 RR)
%            Number of literals    :   64 (   0 equ;  30 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   34 (  21 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_14,axiom,
    p0(b,X) ).

cnf(axiom_17,axiom,
    q0(X,d) ).

cnf(axiom_23,axiom,
    m0(a,e,e) ).

cnf(axiom_30,axiom,
    n0(e,e) ).

cnf(axiom_36,axiom,
    q0(a,b) ).

cnf(rule_125,axiom,
    ( s1(I)
    | ~ p0(I,I) ) ).

cnf(rule_126,axiom,
    ( s1(F)
    | ~ q0(F,G)
    | ~ s1(H) ) ).

cnf(rule_131,axiom,
    ( l2(D,E)
    | ~ s1(D)
    | ~ n0(e,E)
    | ~ l2(E,E) ) ).

cnf(rule_133,axiom,
    ( l2(J,J)
    | ~ p0(A,A)
    | ~ s1(B)
    | ~ m0(C,B,J) ) ).

cnf(prove_this,negated_conjecture,
    ~ l2(b,e) ).

cnf(refute_0_0,plain,
    p0(b,b),
    inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).

cnf(refute_0_1,plain,
    ( ~ p0(b,b)
    | s1(b) ),
    inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).

cnf(refute_0_2,plain,
    s1(b),
    inference(resolve,[$cnf( p0(b,b) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ q0(a,b)
    | ~ s1(X_217)
    | s1(a) ),
    inference(subst,[],[rule_126:[bind(F,$fot(a)),bind(G,$fot(b)),bind(H,$fot(X_217))]]) ).

cnf(refute_0_4,plain,
    ( ~ s1(X_217)
    | s1(a) ),
    inference(resolve,[$cnf( q0(a,b) )],[axiom_36,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ s1(b)
    | s1(a) ),
    inference(subst,[],[refute_0_4:[bind(X_217,$fot(b))]]) ).

cnf(refute_0_6,plain,
    s1(a),
    inference(resolve,[$cnf( s1(b) )],[refute_0_2,refute_0_5]) ).

cnf(refute_0_7,plain,
    q0(X_215,d),
    inference(subst,[],[axiom_17:[bind(X,$fot(X_215))]]) ).

cnf(refute_0_8,plain,
    ( ~ q0(X_215,d)
    | ~ s1(X_217)
    | s1(X_215) ),
    inference(subst,[],[rule_126:[bind(F,$fot(X_215)),bind(G,$fot(d)),bind(H,$fot(X_217))]]) ).

cnf(refute_0_9,plain,
    ( ~ s1(X_217)
    | s1(X_215) ),
    inference(resolve,[$cnf( q0(X_215,d) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ s1(a)
    | s1(X_221) ),
    inference(subst,[],[refute_0_9:[bind(X_215,$fot(X_221)),bind(X_217,$fot(a))]]) ).

cnf(refute_0_11,plain,
    s1(X_221),
    inference(resolve,[$cnf( s1(a) )],[refute_0_6,refute_0_10]) ).

cnf(refute_0_12,plain,
    s1(D),
    inference(subst,[],[refute_0_11:[bind(X_221,$fot(D))]]) ).

cnf(refute_0_13,plain,
    ( ~ l2(E,E)
    | ~ n0(e,E)
    | l2(D,E) ),
    inference(resolve,[$cnf( s1(D) )],[refute_0_12,rule_131]) ).

cnf(refute_0_14,plain,
    ( ~ l2(e,e)
    | ~ n0(e,e)
    | l2(X_358,e) ),
    inference(subst,[],[refute_0_13:[bind(D,$fot(X_358)),bind(E,$fot(e))]]) ).

cnf(refute_0_15,plain,
    ( ~ l2(e,e)
    | l2(X_358,e) ),
    inference(resolve,[$cnf( n0(e,e) )],[axiom_30,refute_0_14]) ).

cnf(refute_0_16,plain,
    s1(B),
    inference(subst,[],[refute_0_11:[bind(X_221,$fot(B))]]) ).

cnf(refute_0_17,plain,
    ( ~ m0(C,B,J)
    | ~ p0(A,A)
    | l2(J,J) ),
    inference(resolve,[$cnf( s1(B) )],[refute_0_16,rule_133]) ).

cnf(refute_0_18,plain,
    ( ~ m0(a,e,e)
    | ~ p0(X_748,X_748)
    | l2(e,e) ),
    inference(subst,[],[refute_0_17:[bind(A,$fot(X_748)),bind(B,$fot(e)),bind(C,$fot(a)),bind(J,$fot(e))]]) ).

cnf(refute_0_19,plain,
    ( ~ p0(X_748,X_748)
    | l2(e,e) ),
    inference(resolve,[$cnf( m0(a,e,e) )],[axiom_23,refute_0_18]) ).

cnf(refute_0_20,plain,
    ( ~ p0(b,b)
    | l2(e,e) ),
    inference(subst,[],[refute_0_19:[bind(X_748,$fot(b))]]) ).

cnf(refute_0_21,plain,
    l2(e,e),
    inference(resolve,[$cnf( p0(b,b) )],[refute_0_0,refute_0_20]) ).

cnf(refute_0_22,plain,
    l2(X_358,e),
    inference(resolve,[$cnf( l2(e,e) )],[refute_0_21,refute_0_15]) ).

cnf(refute_0_23,plain,
    l2(b,e),
    inference(subst,[],[refute_0_22:[bind(X_358,$fot(b))]]) ).

cnf(refute_0_24,plain,
    $false,
    inference(resolve,[$cnf( l2(b,e) )],[refute_0_23,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN122-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul 11 18:05:12 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.40/0.57  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.57  
% 0.40/0.57  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.40/0.57  
%------------------------------------------------------------------------------