TSTP Solution File: SYN285-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN285-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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  : 300s
% DateTime : Tue Apr 30 20:51:46 EDT 2024

% Result   : Unsatisfiable 0.16s 0.39s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : SYN285-1 : TPTP v8.1.2. Released v1.1.0.
% 0.09/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32  % Computer : n014.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Mon Apr 29 22:07:34 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.16/0.34  % Drodi V3.6.0
% 0.16/0.39  % Refutation found
% 0.16/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.39  % SZS output start CNFRefutation for theBenchmark
% 0.16/0.39  fof(f1,axiom,(
% 0.16/0.39    s0(d) ),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f3,axiom,(
% 0.16/0.39    n0(d,e) ),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f6,axiom,(
% 0.16/0.39    q0(b,b) ),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f9,axiom,(
% 0.16/0.39    r0(b) ),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f11,axiom,(
% 0.16/0.39    n0(e,b) ),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f12,axiom,(
% 0.16/0.39    (![X]: (m0(a,X,a) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f14,axiom,(
% 0.16/0.39    (![X]: (p0(b,X) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f17,axiom,(
% 0.16/0.39    (![X]: (q0(X,d) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f19,axiom,(
% 0.16/0.39    (![X,Y]: (m0(X,d,Y) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f20,axiom,(
% 0.16/0.39    l0(a) ),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f21,axiom,(
% 0.16/0.39    q0(b,e) ),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f23,axiom,(
% 0.16/0.39    m0(a,e,e) ),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f26,axiom,(
% 0.16/0.39    n0(d,c) ),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f30,axiom,(
% 0.16/0.39    n0(e,e) ),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f31,axiom,(
% 0.16/0.39    m0(b,b,e) ),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f32,axiom,(
% 0.16/0.39    k0(b) ),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f33,axiom,(
% 0.16/0.39    q0(d,c) ),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f34,axiom,(
% 0.16/0.39    n0(c,d) ),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f37,axiom,(
% 0.16/0.39    n0(b,a) ),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f39,axiom,(
% 0.16/0.39    (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f40,axiom,(
% 0.16/0.39    (![G,H]: (( l1(G,G)| ~ n0(H,G) ) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f43,axiom,(
% 0.16/0.39    (![B,C]: (( m1(B,C,B)| ~ m0(C,C,B) ) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f104,axiom,(
% 0.16/0.39    (![G,H]: (( p1(G,G,G)| ~ n0(H,G) ) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f123,axiom,(
% 0.16/0.39    (![B,C]: (( p1(B,B,B)| ~ p0(C,B) ) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f130,axiom,(
% 0.16/0.39    (![J,A,B,C]: (( q1(J,A,J)| ~ n0(B,A)| ~ p0(C,J) ) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f137,axiom,(
% 0.16/0.39    (![E,F,G]: (( q1(E,F,F)| ~ k0(G)| ~ l0(E)| ~ q1(F,F,G) ) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f143,axiom,(
% 0.16/0.39    (![C,D]: (( q1(C,C,D)| ~ s0(C)| ~ p0(D,d) ) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f145,axiom,(
% 0.16/0.39    (![A]: (( q1(e,A,A)| ~ m0(A,d,A)| ~ m0(e,d,A) ) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f165,axiom,(
% 0.16/0.39    (![C,D,E,F]: (( k2(C,D)| ~ m1(E,D,C)| ~ k1(F)| ~ k2(F,D) ) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f167,axiom,(
% 0.16/0.39    (![J,A]: (( k2(J,J)| ~ q1(A,J,J) ) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f175,axiom,(
% 0.16/0.39    (![A,B,C]: (( n2(A)| ~ p1(B,C,A) ) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f214,axiom,(
% 0.16/0.39    (![D,E]: (( p2(D,E,D)| ~ m1(E,D,E) ) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f219,axiom,(
% 0.16/0.39    (![I]: (( q2(I,I,I)| ~ p1(I,I,I) ) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f248,axiom,(
% 0.16/0.39    (![D]: (( k3(D,D,D)| ~ n2(D) ) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f253,axiom,(
% 0.16/0.39    (![G,H]: (( l3(G,H)| ~ r0(G)| ~ p2(G,H,G) ) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f293,axiom,(
% 0.16/0.39    (![G,H,I]: (( q3(G,H)| ~ q2(I,G,H)| ~ n0(I,G) ) ))),
% 0.16/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.39  fof(f325,axiom,(
% 0.16/0.39    (![B,C]: (( p4(B,C,B)| ~ k3(B,B,C) ) ))),
% 0.16/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.40  fof(f369,negated_conjecture,(
% 0.16/0.40    ~ q1(a,d,d) ),
% 0.16/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.40  fof(f370,plain,(
% 0.16/0.40    s0(d)),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f1])).
% 0.16/0.40  fof(f372,plain,(
% 0.16/0.40    n0(d,e)),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f3])).
% 0.16/0.40  fof(f375,plain,(
% 0.16/0.40    q0(b,b)),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f6])).
% 0.16/0.40  fof(f378,plain,(
% 0.16/0.40    r0(b)),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f9])).
% 0.16/0.40  fof(f380,plain,(
% 0.16/0.40    n0(e,b)),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f11])).
% 0.16/0.40  fof(f381,plain,(
% 0.16/0.40    ![X0]: (m0(a,X0,a))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f12])).
% 0.16/0.40  fof(f383,plain,(
% 0.16/0.40    ![X0]: (p0(b,X0))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f14])).
% 0.16/0.40  fof(f386,plain,(
% 0.16/0.40    ![X0]: (q0(X0,d))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f17])).
% 0.16/0.40  fof(f388,plain,(
% 0.16/0.40    ![X0,X1]: (m0(X0,d,X1))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f19])).
% 0.16/0.40  fof(f389,plain,(
% 0.16/0.40    l0(a)),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f20])).
% 0.16/0.40  fof(f390,plain,(
% 0.16/0.40    q0(b,e)),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f21])).
% 0.16/0.40  fof(f392,plain,(
% 0.16/0.40    m0(a,e,e)),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f23])).
% 0.16/0.40  fof(f395,plain,(
% 0.16/0.40    n0(d,c)),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f26])).
% 0.16/0.40  fof(f399,plain,(
% 0.16/0.40    n0(e,e)),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f30])).
% 0.16/0.40  fof(f400,plain,(
% 0.16/0.40    m0(b,b,e)),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f31])).
% 0.16/0.40  fof(f401,plain,(
% 0.16/0.40    k0(b)),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f32])).
% 0.16/0.40  fof(f402,plain,(
% 0.16/0.40    q0(d,c)),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f33])).
% 0.16/0.40  fof(f403,plain,(
% 0.16/0.40    n0(c,d)),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f34])).
% 0.16/0.40  fof(f406,plain,(
% 0.16/0.40    n0(b,a)),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f37])).
% 0.16/0.40  fof(f408,plain,(
% 0.16/0.40    ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.16/0.40    inference(miniscoping,[status(esa)],[f39])).
% 0.16/0.40  fof(f409,plain,(
% 0.16/0.40    ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f408])).
% 0.16/0.40  fof(f410,plain,(
% 0.16/0.40    ![G]: (l1(G,G)|(![H]: ~n0(H,G)))),
% 0.16/0.40    inference(miniscoping,[status(esa)],[f40])).
% 0.16/0.40  fof(f411,plain,(
% 0.16/0.40    ![X0,X1]: (l1(X0,X0)|~n0(X1,X0))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f410])).
% 0.16/0.40  fof(f416,plain,(
% 0.16/0.40    ![X0,X1]: (m1(X0,X1,X0)|~m0(X1,X1,X0))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f43])).
% 0.16/0.40  fof(f513,plain,(
% 0.16/0.40    ![G]: (p1(G,G,G)|(![H]: ~n0(H,G)))),
% 0.16/0.40    inference(miniscoping,[status(esa)],[f104])).
% 0.16/0.40  fof(f514,plain,(
% 0.16/0.40    ![X0,X1]: (p1(X0,X0,X0)|~n0(X1,X0))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f513])).
% 0.16/0.40  fof(f544,plain,(
% 0.16/0.40    ![B]: (p1(B,B,B)|(![C]: ~p0(C,B)))),
% 0.16/0.40    inference(miniscoping,[status(esa)],[f123])).
% 0.16/0.40  fof(f545,plain,(
% 0.16/0.40    ![X0,X1]: (p1(X0,X0,X0)|~p0(X1,X0))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f544])).
% 0.16/0.40  fof(f554,plain,(
% 0.16/0.40    ![J]: ((![A]: (q1(J,A,J)|(![B]: ~n0(B,A))))|(![C]: ~p0(C,J)))),
% 0.16/0.40    inference(miniscoping,[status(esa)],[f130])).
% 0.16/0.40  fof(f555,plain,(
% 0.16/0.40    ![X0,X1,X2,X3]: (q1(X0,X1,X0)|~n0(X2,X1)|~p0(X3,X0))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f554])).
% 0.16/0.40  fof(f565,plain,(
% 0.16/0.40    ![F,G]: ((![E]: ((q1(E,F,F)|~k0(G))|~l0(E)))|~q1(F,F,G))),
% 0.16/0.40    inference(miniscoping,[status(esa)],[f137])).
% 0.16/0.40  fof(f566,plain,(
% 0.16/0.40    ![X0,X1,X2]: (q1(X0,X1,X1)|~k0(X2)|~l0(X0)|~q1(X1,X1,X2))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f565])).
% 0.16/0.40  fof(f575,plain,(
% 0.16/0.40    ![D]: ((![C]: (q1(C,C,D)|~s0(C)))|~p0(D,d))),
% 0.16/0.40    inference(miniscoping,[status(esa)],[f143])).
% 0.16/0.40  fof(f576,plain,(
% 0.16/0.40    ![X0,X1]: (q1(X0,X0,X1)|~s0(X0)|~p0(X1,d))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f575])).
% 0.16/0.40  fof(f578,plain,(
% 0.16/0.40    ![X0]: (q1(e,X0,X0)|~m0(X0,d,X0)|~m0(e,d,X0))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f145])).
% 0.16/0.40  fof(f610,plain,(
% 0.16/0.40    ![D,F]: (((![C]: (k2(C,D)|(![E]: ~m1(E,D,C))))|~k1(F))|~k2(F,D))),
% 0.16/0.40    inference(miniscoping,[status(esa)],[f165])).
% 0.16/0.40  fof(f611,plain,(
% 0.16/0.40    ![X0,X1,X2,X3]: (k2(X0,X1)|~m1(X2,X1,X0)|~k1(X3)|~k2(X3,X1))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f610])).
% 0.16/0.40  fof(f613,plain,(
% 0.16/0.40    ![J]: (k2(J,J)|(![A]: ~q1(A,J,J)))),
% 0.16/0.40    inference(miniscoping,[status(esa)],[f167])).
% 0.16/0.40  fof(f614,plain,(
% 0.16/0.40    ![X0,X1]: (k2(X0,X0)|~q1(X1,X0,X0))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f613])).
% 0.16/0.40  fof(f626,plain,(
% 0.16/0.40    ![A]: (n2(A)|(![B,C]: ~p1(B,C,A)))),
% 0.16/0.40    inference(miniscoping,[status(esa)],[f175])).
% 0.16/0.40  fof(f627,plain,(
% 0.16/0.40    ![X0,X1,X2]: (n2(X0)|~p1(X1,X2,X0))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f626])).
% 0.16/0.40  fof(f685,plain,(
% 0.16/0.40    ![X0,X1]: (p2(X0,X1,X0)|~m1(X1,X0,X1))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f214])).
% 0.16/0.40  fof(f692,plain,(
% 0.16/0.40    ![X0]: (q2(X0,X0,X0)|~p1(X0,X0,X0))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f219])).
% 0.16/0.40  fof(f735,plain,(
% 0.16/0.40    ![X0]: (k3(X0,X0,X0)|~n2(X0))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f248])).
% 0.16/0.40  fof(f742,plain,(
% 0.16/0.40    ![X0,X1]: (l3(X0,X1)|~r0(X0)|~p2(X0,X1,X0))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f253])).
% 0.16/0.40  fof(f801,plain,(
% 0.16/0.40    ![G,I]: ((![H]: (q3(G,H)|~q2(I,G,H)))|~n0(I,G))),
% 0.16/0.40    inference(miniscoping,[status(esa)],[f293])).
% 0.16/0.40  fof(f802,plain,(
% 0.16/0.40    ![X0,X1,X2]: (q3(X0,X1)|~q2(X2,X0,X1)|~n0(X2,X0))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f801])).
% 0.16/0.40  fof(f853,plain,(
% 0.16/0.40    ![X0,X1]: (p4(X0,X1,X0)|~k3(X0,X0,X1))),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f325])).
% 0.16/0.40  fof(f924,plain,(
% 0.16/0.40    ~q1(a,d,d)),
% 0.16/0.40    inference(cnf_transformation,[status(esa)],[f369])).
% 0.16/0.40  fof(f977,plain,(
% 0.16/0.40    spl0_15 <=> ~q0(X1,d)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f978,plain,(
% 0.16/0.40    ![X0]: (~q0(X0,d)|~spl0_15)),
% 0.16/0.40    inference(component_clause,[status(thm)],[f977])).
% 0.16/0.40  fof(f987,plain,(
% 0.16/0.40    spl0_18 <=> s0(d)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f989,plain,(
% 0.16/0.40    ~s0(d)|spl0_18),
% 0.16/0.40    inference(component_clause,[status(thm)],[f987])).
% 0.16/0.40  fof(f1005,plain,(
% 0.16/0.40    spl0_23 <=> l0(a)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f1007,plain,(
% 0.16/0.40    ~l0(a)|spl0_23),
% 0.16/0.40    inference(component_clause,[status(thm)],[f1005])).
% 0.16/0.40  fof(f1012,plain,(
% 0.16/0.40    spl0_25 <=> ~m0(a,X2,a)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f1013,plain,(
% 0.16/0.40    ![X0]: (~m0(a,X0,a)|~spl0_25)),
% 0.16/0.40    inference(component_clause,[status(thm)],[f1012])).
% 0.16/0.40  fof(f1023,plain,(
% 0.16/0.40    spl0_28 <=> q0(c,d)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f1025,plain,(
% 0.16/0.40    ~q0(c,d)|spl0_28),
% 0.16/0.40    inference(component_clause,[status(thm)],[f1023])).
% 0.16/0.40  fof(f1114,plain,(
% 0.16/0.40    spl0_54 <=> q0(b,e)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f1116,plain,(
% 0.16/0.40    ~q0(b,e)|spl0_54),
% 0.16/0.40    inference(component_clause,[status(thm)],[f1114])).
% 0.16/0.40  fof(f1127,plain,(
% 0.16/0.40    spl0_58 <=> ~m0(X1,X2,b)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f1128,plain,(
% 0.16/0.40    ![X0,X1]: (~m0(X0,X1,b)|~spl0_58)),
% 0.16/0.40    inference(component_clause,[status(thm)],[f1127])).
% 0.16/0.40  fof(f1152,plain,(
% 0.16/0.40    spl0_65 <=> n0(e,b)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f1154,plain,(
% 0.16/0.40    ~n0(e,b)|spl0_65),
% 0.16/0.40    inference(component_clause,[status(thm)],[f1152])).
% 0.16/0.40  fof(f1251,plain,(
% 0.16/0.40    spl0_92 <=> q0(b,b)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f1253,plain,(
% 0.16/0.40    ~q0(b,b)|spl0_92),
% 0.16/0.40    inference(component_clause,[status(thm)],[f1251])).
% 0.16/0.40  fof(f1291,plain,(
% 0.16/0.40    spl0_103 <=> p0(b,d)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f1293,plain,(
% 0.16/0.40    ~p0(b,d)|spl0_103),
% 0.16/0.40    inference(component_clause,[status(thm)],[f1291])).
% 0.16/0.40  fof(f1329,plain,(
% 0.16/0.40    spl0_113 <=> ~l1(X1,X2)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f1330,plain,(
% 0.16/0.40    ![X0,X1]: (~l1(X0,X1)|~spl0_113)),
% 0.16/0.40    inference(component_clause,[status(thm)],[f1329])).
% 0.16/0.40  fof(f1386,plain,(
% 0.16/0.40    spl0_130 <=> q1(e,e,e)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f1388,plain,(
% 0.16/0.40    ~q1(e,e,e)|spl0_130),
% 0.16/0.40    inference(component_clause,[status(thm)],[f1386])).
% 0.16/0.40  fof(f1657,plain,(
% 0.16/0.40    spl0_207 <=> k2(a,d)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f1659,plain,(
% 0.16/0.40    ~k2(a,d)|spl0_207),
% 0.16/0.40    inference(component_clause,[status(thm)],[f1657])).
% 0.16/0.40  fof(f1738,plain,(
% 0.16/0.40    spl0_230 <=> l3(b,e)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f1740,plain,(
% 0.16/0.40    ~l3(b,e)|spl0_230),
% 0.16/0.40    inference(component_clause,[status(thm)],[f1738])).
% 0.16/0.40  fof(f1848,plain,(
% 0.16/0.40    spl0_262 <=> ~q3(X1,X2)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f1849,plain,(
% 0.16/0.40    ![X0,X1]: (~q3(X0,X1)|~spl0_262)),
% 0.16/0.40    inference(component_clause,[status(thm)],[f1848])).
% 0.16/0.40  fof(f1855,plain,(
% 0.16/0.40    spl0_264 <=> ~p4(X2,X2,X3)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f1856,plain,(
% 0.16/0.40    ![X0,X1]: (~p4(X0,X0,X1)|~spl0_264)),
% 0.16/0.40    inference(component_clause,[status(thm)],[f1855])).
% 0.16/0.40  fof(f1992,plain,(
% 0.16/0.40    ![X0]: (q1(e,X0,X0)|~m0(e,d,X0))),
% 0.16/0.40    inference(backward_subsumption_resolution,[status(thm)],[f578,f388])).
% 0.16/0.40  fof(f1993,plain,(
% 0.16/0.40    ![X0]: (q1(e,X0,X0))),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f1992,f388])).
% 0.16/0.40  fof(f2014,plain,(
% 0.16/0.40    k1(d)),
% 0.16/0.40    inference(resolution,[status(thm)],[f409,f403])).
% 0.16/0.40  fof(f2016,plain,(
% 0.16/0.40    $false|spl0_23),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f1007,f389])).
% 0.16/0.40  fof(f2017,plain,(
% 0.16/0.40    spl0_23),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2016])).
% 0.16/0.40  fof(f2026,plain,(
% 0.16/0.40    $false|spl0_18),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f989,f370])).
% 0.16/0.40  fof(f2027,plain,(
% 0.16/0.40    spl0_18),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2026])).
% 0.16/0.40  fof(f2108,plain,(
% 0.16/0.40    ![X0,X1]: (~p0(X0,X1)|n2(X1))),
% 0.16/0.40    inference(resolution,[status(thm)],[f545,f627])).
% 0.16/0.40  fof(f2111,plain,(
% 0.16/0.40    $false|spl0_103),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f1293,f383])).
% 0.16/0.40  fof(f2112,plain,(
% 0.16/0.40    spl0_103),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2111])).
% 0.16/0.40  fof(f2113,plain,(
% 0.16/0.40    $false|spl0_92),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f1253,f375])).
% 0.16/0.40  fof(f2114,plain,(
% 0.16/0.40    spl0_92),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2113])).
% 0.16/0.40  fof(f2115,plain,(
% 0.16/0.40    $false|spl0_65),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f1154,f380])).
% 0.16/0.40  fof(f2116,plain,(
% 0.16/0.40    spl0_65),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2115])).
% 0.16/0.40  fof(f2117,plain,(
% 0.16/0.40    $false|spl0_54),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f1116,f390])).
% 0.16/0.40  fof(f2118,plain,(
% 0.16/0.40    spl0_54),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2117])).
% 0.16/0.40  fof(f2122,plain,(
% 0.16/0.40    ![X0,X1]: (~n0(X0,X1)|~spl0_113)),
% 0.16/0.40    inference(backward_subsumption_resolution,[status(thm)],[f411,f1330])).
% 0.16/0.40  fof(f2123,plain,(
% 0.16/0.40    $false|~spl0_113),
% 0.16/0.40    inference(backward_subsumption_resolution,[status(thm)],[f395,f2122])).
% 0.16/0.40  fof(f2124,plain,(
% 0.16/0.40    ~spl0_113),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2123])).
% 0.16/0.40  fof(f2127,plain,(
% 0.16/0.40    ![X0]: (n2(X0))),
% 0.16/0.40    inference(resolution,[status(thm)],[f2108,f383])).
% 0.16/0.40  fof(f2132,plain,(
% 0.16/0.40    ![X0]: (k3(X0,X0,X0))),
% 0.16/0.40    inference(backward_subsumption_resolution,[status(thm)],[f735,f2127])).
% 0.16/0.40  fof(f2147,plain,(
% 0.16/0.40    ![X0]: (k2(X0,X0))),
% 0.16/0.40    inference(resolution,[status(thm)],[f614,f1993])).
% 0.16/0.40  fof(f2173,plain,(
% 0.16/0.40    $false|spl0_130),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f1388,f1993])).
% 0.16/0.40  fof(f2174,plain,(
% 0.16/0.40    spl0_130),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2173])).
% 0.16/0.40  fof(f2176,plain,(
% 0.16/0.40    spl0_306 <=> ~p0(X0,e)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f2177,plain,(
% 0.16/0.40    ![X0]: (~p0(X0,e)|~spl0_306)),
% 0.16/0.40    inference(component_clause,[status(thm)],[f2176])).
% 0.16/0.40  fof(f2181,plain,(
% 0.16/0.40    $false|~spl0_306),
% 0.16/0.40    inference(resolution,[status(thm)],[f2177,f383])).
% 0.16/0.40  fof(f2182,plain,(
% 0.16/0.40    ~spl0_306),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2181])).
% 0.16/0.40  fof(f2184,plain,(
% 0.16/0.40    spl0_307 <=> n0(e,e)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f2186,plain,(
% 0.16/0.40    ~n0(e,e)|spl0_307),
% 0.16/0.40    inference(component_clause,[status(thm)],[f2184])).
% 0.16/0.40  fof(f2200,plain,(
% 0.16/0.40    $false|spl0_307),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f2186,f399])).
% 0.16/0.40  fof(f2201,plain,(
% 0.16/0.40    spl0_307),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2200])).
% 0.16/0.40  fof(f2209,plain,(
% 0.16/0.40    ![X0]: (p4(X0,X0,X0))),
% 0.16/0.40    inference(resolution,[status(thm)],[f853,f2132])).
% 0.16/0.40  fof(f2210,plain,(
% 0.16/0.40    $false|~spl0_264),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f2209,f1856])).
% 0.16/0.40  fof(f2211,plain,(
% 0.16/0.40    ~spl0_264),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2210])).
% 0.16/0.40  fof(f2216,plain,(
% 0.16/0.40    ![X0]: (l3(b,X0)|~p2(b,X0,b))),
% 0.16/0.40    inference(resolution,[status(thm)],[f742,f378])).
% 0.16/0.40  fof(f2250,plain,(
% 0.16/0.40    spl0_314 <=> q1(b,a,b)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f2252,plain,(
% 0.16/0.40    ~q1(b,a,b)|spl0_314),
% 0.16/0.40    inference(component_clause,[status(thm)],[f2250])).
% 0.16/0.40  fof(f2255,plain,(
% 0.16/0.40    ![X0]: (l3(b,X0)|~m1(X0,b,X0))),
% 0.16/0.40    inference(resolution,[status(thm)],[f2216,f685])).
% 0.16/0.40  fof(f2264,plain,(
% 0.16/0.40    ![X0]: (l3(b,X0)|~m0(b,b,X0))),
% 0.16/0.40    inference(resolution,[status(thm)],[f2255,f416])).
% 0.16/0.40  fof(f2305,plain,(
% 0.16/0.40    spl0_324 <=> q1(e,a,e)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f2307,plain,(
% 0.16/0.40    ~q1(e,a,e)|spl0_324),
% 0.16/0.40    inference(component_clause,[status(thm)],[f2305])).
% 0.16/0.40  fof(f2372,plain,(
% 0.16/0.40    spl0_332 <=> ~m0(X0,X1,X1)|~m0(a,X0,e)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f2373,plain,(
% 0.16/0.40    ![X0,X1]: (~m0(X0,X1,X1)|~m0(a,X0,e)|~spl0_332)),
% 0.16/0.40    inference(component_clause,[status(thm)],[f2372])).
% 0.16/0.40  fof(f2377,plain,(
% 0.16/0.40    spl0_333 <=> n0(d,e)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f2379,plain,(
% 0.16/0.40    ~n0(d,e)|spl0_333),
% 0.16/0.40    inference(component_clause,[status(thm)],[f2377])).
% 0.16/0.40  fof(f2382,plain,(
% 0.16/0.40    $false|spl0_333),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f2379,f372])).
% 0.16/0.40  fof(f2383,plain,(
% 0.16/0.40    spl0_333),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2382])).
% 0.16/0.40  fof(f2392,plain,(
% 0.16/0.40    ![X0]: (~m0(e,X0,X0)|~spl0_332)),
% 0.16/0.40    inference(resolution,[status(thm)],[f2373,f392])).
% 0.16/0.40  fof(f2394,plain,(
% 0.16/0.40    $false|~spl0_332),
% 0.16/0.40    inference(resolution,[status(thm)],[f2392,f388])).
% 0.16/0.40  fof(f2395,plain,(
% 0.16/0.40    ~spl0_332),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2394])).
% 0.16/0.40  fof(f2404,plain,(
% 0.16/0.40    $false|~spl0_58),
% 0.16/0.40    inference(resolution,[status(thm)],[f1128,f388])).
% 0.16/0.40  fof(f2405,plain,(
% 0.16/0.40    ~spl0_58),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2404])).
% 0.16/0.40  fof(f2413,plain,(
% 0.16/0.40    spl0_336 <=> q0(d,c)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f2415,plain,(
% 0.16/0.40    ~q0(d,c)|spl0_336),
% 0.16/0.40    inference(component_clause,[status(thm)],[f2413])).
% 0.16/0.40  fof(f2418,plain,(
% 0.16/0.40    $false|spl0_336),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f2415,f402])).
% 0.16/0.40  fof(f2419,plain,(
% 0.16/0.40    spl0_336),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2418])).
% 0.16/0.40  fof(f2420,plain,(
% 0.16/0.40    $false|~spl0_25),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f1013,f381])).
% 0.16/0.40  fof(f2421,plain,(
% 0.16/0.40    ~spl0_25),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2420])).
% 0.16/0.40  fof(f2423,plain,(
% 0.16/0.40    l3(b,e)),
% 0.16/0.40    inference(resolution,[status(thm)],[f2264,f400])).
% 0.16/0.40  fof(f2424,plain,(
% 0.16/0.40    $false|spl0_230),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f2423,f1740])).
% 0.16/0.40  fof(f2425,plain,(
% 0.16/0.40    spl0_230),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2424])).
% 0.16/0.40  fof(f2435,plain,(
% 0.16/0.40    ![X0,X1,X2]: (q1(X0,X1,X0)|~n0(X2,X1))),
% 0.16/0.40    inference(resolution,[status(thm)],[f555,f383])).
% 0.16/0.40  fof(f2436,plain,(
% 0.16/0.40    ![X0]: (~n0(X0,a)|spl0_324)),
% 0.16/0.40    inference(resolution,[status(thm)],[f2435,f2307])).
% 0.16/0.40  fof(f2437,plain,(
% 0.16/0.40    ![X0]: (~n0(X0,a)|spl0_314)),
% 0.16/0.40    inference(resolution,[status(thm)],[f2435,f2252])).
% 0.16/0.40  fof(f2445,plain,(
% 0.16/0.40    ![X0,X1,X2]: (~q2(X0,X1,X2)|~n0(X0,X1)|~spl0_262)),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f802,f1849])).
% 0.16/0.40  fof(f2451,plain,(
% 0.16/0.40    ![X0]: (~n0(X0,X0)|~p1(X0,X0,X0)|~spl0_262)),
% 0.16/0.40    inference(resolution,[status(thm)],[f2445,f692])).
% 0.16/0.40  fof(f2452,plain,(
% 0.16/0.40    ![X0]: (~n0(X0,X0)|~spl0_262)),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f2451,f514])).
% 0.16/0.40  fof(f2454,plain,(
% 0.16/0.40    ![X0,X1]: (q1(X0,X1,X1)|~l0(X0)|~q1(X1,X1,b))),
% 0.16/0.40    inference(resolution,[status(thm)],[f566,f401])).
% 0.16/0.40  fof(f2456,plain,(
% 0.16/0.40    $false|spl0_324),
% 0.16/0.40    inference(backward_subsumption_resolution,[status(thm)],[f406,f2436])).
% 0.16/0.40  fof(f2457,plain,(
% 0.16/0.40    spl0_324),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2456])).
% 0.16/0.40  fof(f2478,plain,(
% 0.16/0.40    $false|spl0_314),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f406,f2437])).
% 0.16/0.40  fof(f2479,plain,(
% 0.16/0.40    spl0_314),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2478])).
% 0.16/0.40  fof(f2480,plain,(
% 0.16/0.40    $false|~spl0_262),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f399,f2452])).
% 0.16/0.40  fof(f2481,plain,(
% 0.16/0.40    ~spl0_262),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2480])).
% 0.16/0.40  fof(f2495,plain,(
% 0.16/0.40    ![X0,X1,X2]: (k2(X0,X1)|~m1(X2,X1,X0)|~k1(X1))),
% 0.16/0.40    inference(resolution,[status(thm)],[f611,f2147])).
% 0.16/0.40  fof(f2497,plain,(
% 0.16/0.40    ![X0,X1]: (k2(X0,d)|~m1(X1,d,X0))),
% 0.16/0.40    inference(resolution,[status(thm)],[f2495,f2014])).
% 0.16/0.40  fof(f2592,plain,(
% 0.16/0.40    ![X0]: (k2(X0,d)|~m0(d,d,X0))),
% 0.16/0.40    inference(resolution,[status(thm)],[f2497,f416])).
% 0.16/0.40  fof(f2593,plain,(
% 0.16/0.40    ![X0]: (k2(X0,d))),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f2592,f388])).
% 0.16/0.40  fof(f2632,plain,(
% 0.16/0.40    $false|~spl0_15),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f978,f386])).
% 0.16/0.40  fof(f2633,plain,(
% 0.16/0.40    ~spl0_15),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2632])).
% 0.16/0.40  fof(f2634,plain,(
% 0.16/0.40    $false|spl0_207),
% 0.16/0.40    inference(backward_subsumption_resolution,[status(thm)],[f1659,f2593])).
% 0.16/0.40  fof(f2635,plain,(
% 0.16/0.40    spl0_207),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2634])).
% 0.16/0.40  fof(f2903,plain,(
% 0.16/0.40    spl0_402 <=> q1(d,d,b)),
% 0.16/0.40    introduced(split_symbol_definition)).
% 0.16/0.40  fof(f2905,plain,(
% 0.16/0.40    ~q1(d,d,b)|spl0_402),
% 0.16/0.40    inference(component_clause,[status(thm)],[f2903])).
% 0.16/0.40  fof(f2906,plain,(
% 0.16/0.40    ~l0(a)|~q1(d,d,b)),
% 0.16/0.40    inference(resolution,[status(thm)],[f2454,f924])).
% 0.16/0.40  fof(f2907,plain,(
% 0.16/0.40    ~spl0_23|~spl0_402),
% 0.16/0.40    inference(split_clause,[status(thm)],[f2906,f1005,f2903])).
% 0.16/0.40  fof(f2920,plain,(
% 0.16/0.40    $false|spl0_28),
% 0.16/0.40    inference(forward_subsumption_resolution,[status(thm)],[f1025,f386])).
% 0.16/0.40  fof(f2921,plain,(
% 0.16/0.40    spl0_28),
% 0.16/0.40    inference(contradiction_clause,[status(thm)],[f2920])).
% 0.16/0.40  fof(f2942,plain,(
% 0.16/0.40    ~s0(d)|~p0(b,d)|spl0_402),
% 0.16/0.40    inference(resolution,[status(thm)],[f2905,f576])).
% 0.16/0.40  fof(f2943,plain,(
% 0.16/0.40    ~spl0_18|~spl0_103|spl0_402),
% 0.16/0.40    inference(split_clause,[status(thm)],[f2942,f987,f1291,f2903])).
% 0.16/0.40  fof(f2944,plain,(
% 0.16/0.40    $false),
% 0.16/0.40    inference(sat_refutation,[status(thm)],[f2017,f2027,f2112,f2114,f2116,f2118,f2124,f2174,f2182,f2201,f2211,f2383,f2395,f2405,f2419,f2421,f2425,f2457,f2479,f2481,f2633,f2635,f2907,f2921,f2943])).
% 0.16/0.40  % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.41  % Elapsed time: 0.086897 seconds
% 0.16/0.41  % CPU time: 0.446594 seconds
% 0.16/0.41  % Total memory used: 52.577 MB
% 0.16/0.41  % Net memory used: 52.018 MB
%------------------------------------------------------------------------------