%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN117-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n008.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 08:59:48 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   36 (  16 unt;   0 nHn;  36 RR)
%            Number of literals    :   59 (   0 equ;  30 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   30 (  18 sgn)

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

cnf(axiom_15,axiom,
    n0(a,b) ).

cnf(axiom_32,axiom,
    k0(b) ).

cnf(rule_001,axiom,
    ( k1(I)
    | ~ n0(J,I) ) ).

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

cnf(rule_068,axiom,
    ( p1(D,D,D)
    | ~ k0(D) ) ).

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

cnf(rule_159,axiom,
    ( p2(A,A,A)
    | ~ k1(A) ) ).

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

cnf(rule_267,axiom,
    ( r3(B,C,B)
    | ~ p2(B,D,C) ) ).

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

cnf(rule_300,axiom,
    ( k5(E)
    | ~ s4(F)
    | ~ r3(G,E,E) ) ).

cnf(prove_this,negated_conjecture,
    ~ k5(e) ).

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

cnf(refute_0_1,plain,
    l1(b,b),
    inference(resolve,[$cnf( n0(a,b) )],[axiom_15,refute_0_0]) ).

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

cnf(refute_0_3,plain,
    ( ~ k0(b)
    | p1(b,b,b) ),
    inference(subst,[],[rule_068:[bind(D,$fot(b))]]) ).

cnf(refute_0_4,plain,
    p1(b,b,b),
    inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_3]) ).

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

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

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

cnf(refute_0_8,plain,
    ( ~ k1(e)
    | p2(e,e,e) ),
    inference(subst,[],[rule_159:[bind(A,$fot(e))]]) ).

cnf(refute_0_9,plain,
    ( ~ n0(d,e)
    | k1(e) ),
    inference(subst,[],[rule_001:[bind(I,$fot(e)),bind(J,$fot(d))]]) ).

cnf(refute_0_10,plain,
    k1(e),
    inference(resolve,[$cnf( n0(d,e) )],[axiom_3,refute_0_9]) ).

cnf(refute_0_11,plain,
    p2(e,e,e),
    inference(resolve,[$cnf( k1(e) )],[refute_0_10,refute_0_8]) ).

cnf(refute_0_12,plain,
    ( ~ p2(e,e,e)
    | r3(e,e,e) ),
    inference(subst,[],[rule_267:[bind(B,$fot(e)),bind(C,$fot(e)),bind(D,$fot(e))]]) ).

cnf(refute_0_13,plain,
    r3(e,e,e),
    inference(resolve,[$cnf( p2(e,e,e) )],[refute_0_11,refute_0_12]) ).

cnf(refute_0_14,plain,
    ( ~ r3(e,e,e)
    | ~ s4(X_257)
    | k5(e) ),
    inference(subst,[],[rule_300:[bind(E,$fot(e)),bind(F,$fot(X_257)),bind(G,$fot(e))]]) ).

cnf(refute_0_15,plain,
    ( ~ s4(X_257)
    | k5(e) ),
    inference(resolve,[$cnf( r3(e,e,e) )],[refute_0_13,refute_0_14]) ).

cnf(refute_0_16,plain,
    ~ s4(X_257),
    inference(resolve,[$cnf( k5(e) )],[refute_0_15,prove_this]) ).

cnf(refute_0_17,plain,
    ~ s4(A),
    inference(subst,[],[refute_0_16:[bind(X_257,$fot(A))]]) ).

cnf(refute_0_18,plain,
    ( ~ l1(A,C)
    | ~ p3(B,C,D) ),
    inference(resolve,[$cnf( s4(A) )],[rule_299,refute_0_17]) ).

cnf(refute_0_19,plain,
    ( ~ l1(X_338,b)
    | ~ p3(b,b,b) ),
    inference(subst,[],[refute_0_18:[bind(A,$fot(X_338)),bind(B,$fot(b)),bind(C,$fot(b)),bind(D,$fot(b))]]) ).

cnf(refute_0_20,plain,
    ~ l1(X_338,b),
    inference(resolve,[$cnf( p3(b,b,b) )],[refute_0_7,refute_0_19]) ).

cnf(refute_0_21,plain,
    ~ l1(b,b),
    inference(subst,[],[refute_0_20:[bind(X_338,$fot(b))]]) ).

cnf(refute_0_22,plain,
    $false,
    inference(resolve,[$cnf( l1(b,b) )],[refute_0_1,refute_0_21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN117-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n008.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 : Tue Jul 12 04:49:53 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50  
% 0.19/0.50  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.51  
%------------------------------------------------------------------------------