%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN212-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n009.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 09:00:28 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   22 (  10 unt;   0 nHn;  22 RR)
%            Number of literals    :   37 (   0 equ;  16 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   12 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_3,axiom,
    n0(d,e) ).

cnf(axiom_13,axiom,
    r0(e) ).

cnf(axiom_28,axiom,
    k0(e) ).

cnf(rule_002,axiom,
    ( l1(G,G)
    | ~ n0(H,G) ) ).

cnf(rule_090,axiom,
    ( p1(e,e,e)
    | ~ r0(e)
    | ~ k0(e) ) ).

cnf(rule_137,axiom,
    ( n2(A)
    | ~ p1(B,C,A) ) ).

cnf(rule_244,axiom,
    ( p3(H,H,H)
    | ~ n2(H) ) ).

cnf(rule_299,axiom,
    ( s4(A)
    | ~ p3(B,C,D)
    | ~ l1(A,C) ) ).

cnf(prove_this,negated_conjecture,
    ~ s4(e) ).

cnf(refute_0_0,plain,
    ( ~ n0(d,e)
    | l1(e,e) ),
    inference(subst,[],[rule_002:[bind(G,$fot(e)),bind(H,$fot(d))]]) ).

cnf(refute_0_1,plain,
    l1(e,e),
    inference(resolve,[$cnf( n0(d,e) )],[axiom_3,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ n2(e)
    | p3(e,e,e) ),
    inference(subst,[],[rule_244:[bind(H,$fot(e))]]) ).

cnf(refute_0_3,plain,
    ( ~ r0(e)
    | p1(e,e,e) ),
    inference(resolve,[$cnf( k0(e) )],[axiom_28,rule_090]) ).

cnf(refute_0_4,plain,
    p1(e,e,e),
    inference(resolve,[$cnf( r0(e) )],[axiom_13,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ p1(e,e,e)
    | n2(e) ),
    inference(subst,[],[rule_137:[bind(A,$fot(e)),bind(B,$fot(e)),bind(C,$fot(e))]]) ).

cnf(refute_0_6,plain,
    n2(e),
    inference(resolve,[$cnf( p1(e,e,e) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    p3(e,e,e),
    inference(resolve,[$cnf( n2(e) )],[refute_0_6,refute_0_2]) ).

cnf(refute_0_8,plain,
    ( ~ l1(X_344,e)
    | ~ p3(e,e,e)
    | s4(X_344) ),
    inference(subst,[],[rule_299:[bind(A,$fot(X_344)),bind(B,$fot(e)),bind(C,$fot(e)),bind(D,$fot(e))]]) ).

cnf(refute_0_9,plain,
    ( ~ l1(X_344,e)
    | s4(X_344) ),
    inference(resolve,[$cnf( p3(e,e,e) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ l1(e,e)
    | s4(e) ),
    inference(subst,[],[refute_0_9:[bind(X_344,$fot(e))]]) ).

cnf(refute_0_11,plain,
    s4(e),
    inference(resolve,[$cnf( l1(e,e) )],[refute_0_1,refute_0_10]) ).

cnf(refute_0_12,plain,
    $false,
    inference(resolve,[$cnf( s4(e) )],[refute_0_11,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN212-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jul 12 04:58:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49  
% 0.19/0.49  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.49  
%------------------------------------------------------------------------------