TSTP Solution File: SYN122-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN122-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 : Wed May 31 12:46:02 EDT 2023

% Result   : Unsatisfiable 0.15s 0.42s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SYN122-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n018.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue May 30 10:32:25 EDT 2023
% 0.09/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.5.1
% 0.15/0.42  % Refutation found
% 0.15/0.42  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.42  % SZS output start CNFRefutation for theBenchmark
% 0.15/0.42  fof(f5,axiom,(
% 0.15/0.42    s0(b) ),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f9,axiom,(
% 0.15/0.42    r0(b) ),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f12,axiom,(
% 0.15/0.42    (![X]: (m0(a,X,a) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f14,axiom,(
% 0.15/0.42    (![X]: (p0(b,X) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f17,axiom,(
% 0.15/0.42    (![X]: (q0(X,d) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f18,axiom,(
% 0.15/0.42    p0(c,b) ),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f19,axiom,(
% 0.15/0.42    (![X,Y]: (m0(X,d,Y) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f26,axiom,(
% 0.15/0.42    n0(d,c) ),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f28,axiom,(
% 0.15/0.42    k0(e) ),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f30,axiom,(
% 0.15/0.42    n0(e,e) ),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f31,axiom,(
% 0.15/0.42    m0(b,b,e) ),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f37,axiom,(
% 0.15/0.42    n0(b,a) ),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f38,axiom,(
% 0.15/0.42    m0(b,a,a) ),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f39,axiom,(
% 0.15/0.42    (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f67,axiom,(
% 0.15/0.42    (![H,I]: (( m1(H,I,H)| ~ p0(H,I)| ~ s0(H) ) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f101,axiom,(
% 0.15/0.42    (![D,E]: (( p1(D,D,E)| ~ n0(d,D)| ~ k0(E) ) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f107,axiom,(
% 0.15/0.42    (![B,C]: (( p1(B,B,C)| ~ p0(C,B) ) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f123,axiom,(
% 0.15/0.42    (![B,C]: (( p1(B,B,B)| ~ p0(C,B) ) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f130,axiom,(
% 0.15/0.42    (![J,A,B,C]: (( q1(J,A,J)| ~ n0(B,A)| ~ p0(C,J) ) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f148,axiom,(
% 0.15/0.42    (![B,C,D]: (( q1(B,B,B)| ~ m0(C,D,B) ) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f163,axiom,(
% 0.15/0.42    (![I]: (( s1(I)| ~ p0(I,I) ) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f164,axiom,(
% 0.15/0.42    (![F,G,H]: (( s1(F)| ~ q0(F,G)| ~ s1(H) ) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f165,axiom,(
% 0.15/0.42    (![C,D,E,F]: (( k2(C,D)| ~ m1(E,D,C)| ~ k1(F)| ~ k2(F,D) ) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f167,axiom,(
% 0.15/0.42    (![J,A]: (( k2(J,J)| ~ q1(A,J,J) ) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f169,axiom,(
% 0.15/0.42    (![D,E]: (( l2(D,E)| ~ s1(D)| ~ n0(e,E)| ~ l2(E,E) ) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f171,axiom,(
% 0.15/0.42    (![J,A,B,C]: (( l2(J,J)| ~ p0(A,A)| ~ s1(B)| ~ m0(C,B,J) ) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f175,axiom,(
% 0.15/0.42    (![A,B,C]: (( n2(A)| ~ p1(B,C,A) ) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f179,axiom,(
% 0.15/0.42    (![B]: (( p2(B,a,B)| ~ q1(B,a,B) ) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f215,axiom,(
% 0.15/0.42    (![E,F]: (( q2(E,F,F)| ~ k0(F)| ~ p1(E,E,E) ) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f253,axiom,(
% 0.15/0.42    (![G,H]: (( l3(G,H)| ~ r0(G)| ~ p2(G,H,G) ) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f282,axiom,(
% 0.15/0.42    (![H]: (( p3(H,H,H)| ~ n2(H) ) ))),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f369,negated_conjecture,(
% 0.15/0.42    ~ l2(b,e) ),
% 0.15/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42  fof(f374,plain,(
% 0.15/0.42    s0(b)),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f5])).
% 0.15/0.42  fof(f378,plain,(
% 0.15/0.42    r0(b)),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f9])).
% 0.15/0.42  fof(f381,plain,(
% 0.15/0.42    ![X0]: (m0(a,X0,a))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.42  fof(f383,plain,(
% 0.15/0.42    ![X0]: (p0(b,X0))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f14])).
% 0.15/0.42  fof(f386,plain,(
% 0.15/0.42    ![X0]: (q0(X0,d))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f17])).
% 0.15/0.42  fof(f387,plain,(
% 0.15/0.42    p0(c,b)),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f18])).
% 0.15/0.42  fof(f388,plain,(
% 0.15/0.42    ![X0,X1]: (m0(X0,d,X1))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f19])).
% 0.15/0.42  fof(f395,plain,(
% 0.15/0.42    n0(d,c)),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f26])).
% 0.15/0.42  fof(f397,plain,(
% 0.15/0.42    k0(e)),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f28])).
% 0.15/0.42  fof(f399,plain,(
% 0.15/0.42    n0(e,e)),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f30])).
% 0.15/0.42  fof(f400,plain,(
% 0.15/0.42    m0(b,b,e)),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f31])).
% 0.15/0.42  fof(f406,plain,(
% 0.15/0.42    n0(b,a)),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f37])).
% 0.15/0.42  fof(f407,plain,(
% 0.15/0.42    m0(b,a,a)),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f38])).
% 0.15/0.42  fof(f408,plain,(
% 0.15/0.42    ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.15/0.42    inference(miniscoping,[status(esa)],[f39])).
% 0.15/0.42  fof(f409,plain,(
% 0.15/0.42    ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f408])).
% 0.15/0.42  fof(f454,plain,(
% 0.15/0.42    ![H]: ((![I]: (m1(H,I,H)|~p0(H,I)))|~s0(H))),
% 0.15/0.42    inference(miniscoping,[status(esa)],[f67])).
% 0.15/0.42  fof(f455,plain,(
% 0.15/0.42    ![X0,X1]: (m1(X0,X1,X0)|~p0(X0,X1)|~s0(X0))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f454])).
% 0.15/0.42  fof(f507,plain,(
% 0.15/0.42    ![E]: ((![D]: (p1(D,D,E)|~n0(d,D)))|~k0(E))),
% 0.15/0.42    inference(miniscoping,[status(esa)],[f101])).
% 0.15/0.42  fof(f508,plain,(
% 0.15/0.42    ![X0,X1]: (p1(X0,X0,X1)|~n0(d,X0)|~k0(X1))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f507])).
% 0.15/0.42  fof(f518,plain,(
% 0.15/0.42    ![X0,X1]: (p1(X0,X0,X1)|~p0(X1,X0))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f107])).
% 0.15/0.42  fof(f544,plain,(
% 0.15/0.42    ![B]: (p1(B,B,B)|(![C]: ~p0(C,B)))),
% 0.15/0.42    inference(miniscoping,[status(esa)],[f123])).
% 0.15/0.42  fof(f545,plain,(
% 0.15/0.42    ![X0,X1]: (p1(X0,X0,X0)|~p0(X1,X0))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f544])).
% 0.15/0.42  fof(f554,plain,(
% 0.15/0.42    ![J]: ((![A]: (q1(J,A,J)|(![B]: ~n0(B,A))))|(![C]: ~p0(C,J)))),
% 0.15/0.42    inference(miniscoping,[status(esa)],[f130])).
% 0.15/0.42  fof(f555,plain,(
% 0.15/0.42    ![X0,X1,X2,X3]: (q1(X0,X1,X0)|~n0(X2,X1)|~p0(X3,X0))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f554])).
% 0.15/0.42  fof(f583,plain,(
% 0.15/0.42    ![B]: (q1(B,B,B)|(![C,D]: ~m0(C,D,B)))),
% 0.15/0.42    inference(miniscoping,[status(esa)],[f148])).
% 0.15/0.42  fof(f584,plain,(
% 0.15/0.42    ![X0,X1,X2]: (q1(X0,X0,X0)|~m0(X1,X2,X0))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f583])).
% 0.15/0.42  fof(f607,plain,(
% 0.15/0.42    ![X0]: (s1(X0)|~p0(X0,X0))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f163])).
% 0.15/0.42  fof(f608,plain,(
% 0.15/0.42    (![F]: (s1(F)|(![G]: ~q0(F,G))))|(![H]: ~s1(H))),
% 0.15/0.42    inference(miniscoping,[status(esa)],[f164])).
% 0.15/0.42  fof(f609,plain,(
% 0.15/0.42    ![X0,X1,X2]: (s1(X0)|~q0(X0,X1)|~s1(X2))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f608])).
% 0.15/0.42  fof(f610,plain,(
% 0.15/0.42    ![D,F]: (((![C]: (k2(C,D)|(![E]: ~m1(E,D,C))))|~k1(F))|~k2(F,D))),
% 0.15/0.42    inference(miniscoping,[status(esa)],[f165])).
% 0.15/0.42  fof(f611,plain,(
% 0.15/0.42    ![X0,X1,X2,X3]: (k2(X0,X1)|~m1(X2,X1,X0)|~k1(X3)|~k2(X3,X1))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f610])).
% 0.15/0.42  fof(f613,plain,(
% 0.15/0.42    ![J]: (k2(J,J)|(![A]: ~q1(A,J,J)))),
% 0.15/0.42    inference(miniscoping,[status(esa)],[f167])).
% 0.15/0.42  fof(f614,plain,(
% 0.15/0.42    ![X0,X1]: (k2(X0,X0)|~q1(X1,X0,X0))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f613])).
% 0.15/0.42  fof(f616,plain,(
% 0.15/0.42    ![E]: (((![D]: (l2(D,E)|~s1(D)))|~n0(e,E))|~l2(E,E))),
% 0.15/0.42    inference(miniscoping,[status(esa)],[f169])).
% 0.15/0.42  fof(f617,plain,(
% 0.15/0.42    ![X0,X1]: (l2(X0,X1)|~s1(X0)|~n0(e,X1)|~l2(X1,X1))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f616])).
% 0.15/0.42  fof(f619,plain,(
% 0.15/0.42    ![J,B]: (((l2(J,J)|(![A]: ~p0(A,A)))|~s1(B))|(![C]: ~m0(C,B,J)))),
% 0.15/0.42    inference(miniscoping,[status(esa)],[f171])).
% 0.15/0.42  fof(f620,plain,(
% 0.15/0.42    ![X0,X1,X2,X3]: (l2(X0,X0)|~p0(X1,X1)|~s1(X2)|~m0(X3,X2,X0))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f619])).
% 0.15/0.42  fof(f626,plain,(
% 0.15/0.42    ![A]: (n2(A)|(![B,C]: ~p1(B,C,A)))),
% 0.15/0.42    inference(miniscoping,[status(esa)],[f175])).
% 0.15/0.42  fof(f627,plain,(
% 0.15/0.42    ![X0,X1,X2]: (n2(X0)|~p1(X1,X2,X0))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f626])).
% 0.15/0.42  fof(f632,plain,(
% 0.15/0.42    ![X0]: (p2(X0,a,X0)|~q1(X0,a,X0))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f179])).
% 0.15/0.42  fof(f686,plain,(
% 0.15/0.42    ![E]: ((![F]: (q2(E,F,F)|~k0(F)))|~p1(E,E,E))),
% 0.15/0.42    inference(miniscoping,[status(esa)],[f215])).
% 0.15/0.42  fof(f687,plain,(
% 0.15/0.42    ![X0,X1]: (q2(X0,X1,X1)|~k0(X1)|~p1(X0,X0,X0))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f686])).
% 0.15/0.42  fof(f742,plain,(
% 0.15/0.42    ![X0,X1]: (l3(X0,X1)|~r0(X0)|~p2(X0,X1,X0))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f253])).
% 0.15/0.42  fof(f784,plain,(
% 0.15/0.42    ![X0]: (p3(X0,X0,X0)|~n2(X0))),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f282])).
% 0.15/0.42  fof(f924,plain,(
% 0.15/0.42    ~l2(b,e)),
% 0.15/0.42    inference(cnf_transformation,[status(esa)],[f369])).
% 0.15/0.42  fof(f1248,plain,(
% 0.15/0.42    spl0_91 <=> ~p0(X1,X2)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f1249,plain,(
% 0.15/0.42    ![X0,X1]: (~p0(X0,X1)|~spl0_91)),
% 0.15/0.42    inference(component_clause,[status(thm)],[f1248])).
% 0.15/0.42  fof(f1258,plain,(
% 0.15/0.42    spl0_94 <=> ~p0(X2,X2)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f1259,plain,(
% 0.15/0.42    ![X0]: (~p0(X0,X0)|~spl0_94)),
% 0.15/0.42    inference(component_clause,[status(thm)],[f1258])).
% 0.15/0.42  fof(f1304,plain,(
% 0.15/0.42    spl0_106 <=> s1(X0)|~q0(X0,X1)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f1305,plain,(
% 0.15/0.42    ![X0,X1]: (s1(X0)|~q0(X0,X1)|~spl0_106)),
% 0.15/0.42    inference(component_clause,[status(thm)],[f1304])).
% 0.15/0.42  fof(f1307,plain,(
% 0.15/0.42    spl0_107 <=> ~s1(X2)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f1308,plain,(
% 0.15/0.42    ![X0]: (~s1(X0)|~spl0_107)),
% 0.15/0.42    inference(component_clause,[status(thm)],[f1307])).
% 0.15/0.42  fof(f1310,plain,(
% 0.15/0.42    spl0_106|spl0_107),
% 0.15/0.42    inference(split_clause,[status(thm)],[f609,f1304,f1307])).
% 0.15/0.42  fof(f1322,plain,(
% 0.15/0.42    spl0_111 <=> l2(X0,X0)|~s1(X2)|~m0(X3,X2,X0)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f1323,plain,(
% 0.15/0.42    ![X0,X1,X2]: (l2(X0,X0)|~s1(X1)|~m0(X2,X1,X0)|~spl0_111)),
% 0.15/0.42    inference(component_clause,[status(thm)],[f1322])).
% 0.15/0.42  fof(f1325,plain,(
% 0.15/0.42    spl0_111|spl0_94),
% 0.15/0.42    inference(split_clause,[status(thm)],[f620,f1322,f1258])).
% 0.15/0.42  fof(f1363,plain,(
% 0.15/0.42    spl0_123 <=> n2(e)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f1365,plain,(
% 0.15/0.42    ~n2(e)|spl0_123),
% 0.15/0.42    inference(component_clause,[status(thm)],[f1363])).
% 0.15/0.42  fof(f1671,plain,(
% 0.15/0.42    spl0_211 <=> k2(b,c)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f1673,plain,(
% 0.15/0.42    ~k2(b,c)|spl0_211),
% 0.15/0.42    inference(component_clause,[status(thm)],[f1671])).
% 0.15/0.42  fof(f1831,plain,(
% 0.15/0.42    spl0_257 <=> l3(b,a)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f1833,plain,(
% 0.15/0.42    ~l3(b,a)|spl0_257),
% 0.15/0.42    inference(component_clause,[status(thm)],[f1831])).
% 0.15/0.42  fof(f2002,plain,(
% 0.15/0.42    ![X0]: (~p0(X0,X0)|~spl0_107)),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f607,f1308])).
% 0.15/0.42  fof(f2003,plain,(
% 0.15/0.42    $false|~spl0_107),
% 0.15/0.42    inference(resolution,[status(thm)],[f2002,f383])).
% 0.15/0.42  fof(f2004,plain,(
% 0.15/0.42    ~spl0_107),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f2003])).
% 0.15/0.42  fof(f2007,plain,(
% 0.15/0.42    k1(c)),
% 0.15/0.42    inference(resolution,[status(thm)],[f409,f395])).
% 0.15/0.42  fof(f2059,plain,(
% 0.15/0.42    $false|~spl0_94),
% 0.15/0.42    inference(resolution,[status(thm)],[f1259,f383])).
% 0.15/0.42  fof(f2060,plain,(
% 0.15/0.42    ~spl0_94),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f2059])).
% 0.15/0.42  fof(f2168,plain,(
% 0.15/0.42    spl0_316 <=> l2(e,e)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f2170,plain,(
% 0.15/0.42    ~l2(e,e)|spl0_316),
% 0.15/0.42    inference(component_clause,[status(thm)],[f2168])).
% 0.15/0.42  fof(f2217,plain,(
% 0.15/0.42    ![X0]: (m1(b,X0,b)|~p0(b,X0))),
% 0.15/0.42    inference(resolution,[status(thm)],[f455,f374])).
% 0.15/0.42  fof(f2218,plain,(
% 0.15/0.42    ![X0]: (m1(b,X0,b))),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f2217,f383])).
% 0.15/0.42  fof(f2349,plain,(
% 0.15/0.42    ![X0]: (s1(X0)|~spl0_106)),
% 0.15/0.42    inference(resolution,[status(thm)],[f1305,f386])).
% 0.15/0.42  fof(f2385,plain,(
% 0.15/0.42    ![X0]: (p1(X0,X0,b))),
% 0.15/0.42    inference(resolution,[status(thm)],[f518,f383])).
% 0.15/0.42  fof(f2399,plain,(
% 0.15/0.42    ![X0]: (p1(X0,X0,X0))),
% 0.15/0.42    inference(resolution,[status(thm)],[f545,f383])).
% 0.15/0.42  fof(f2400,plain,(
% 0.15/0.42    ![X0]: (n2(X0))),
% 0.15/0.42    inference(resolution,[status(thm)],[f2399,f627])).
% 0.15/0.42  fof(f2402,plain,(
% 0.15/0.42    ![X0]: (p3(X0,X0,X0))),
% 0.15/0.42    inference(backward_subsumption_resolution,[status(thm)],[f784,f2400])).
% 0.15/0.42  fof(f2666,plain,(
% 0.15/0.42    ![X0]: (q1(X0,X0,X0))),
% 0.15/0.42    inference(resolution,[status(thm)],[f584,f388])).
% 0.15/0.42  fof(f2695,plain,(
% 0.15/0.42    ![X0]: (p1(c,c,X0)|~k0(X0))),
% 0.15/0.42    inference(resolution,[status(thm)],[f508,f395])).
% 0.15/0.42  fof(f2739,plain,(
% 0.15/0.42    ![X0]: (k2(X0,X0))),
% 0.15/0.42    inference(resolution,[status(thm)],[f2666,f614])).
% 0.15/0.42  fof(f2835,plain,(
% 0.15/0.42    ![X0,X1]: (q1(X0,a,X0)|~p0(X1,X0))),
% 0.15/0.42    inference(resolution,[status(thm)],[f555,f406])).
% 0.15/0.42  fof(f2920,plain,(
% 0.15/0.42    p1(c,c,e)),
% 0.15/0.42    inference(resolution,[status(thm)],[f2695,f397])).
% 0.15/0.42  fof(f2994,plain,(
% 0.15/0.42    spl0_407 <=> ~p0(X1,d)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f2995,plain,(
% 0.15/0.42    ![X0]: (~p0(X0,d)|~spl0_407)),
% 0.15/0.42    inference(component_clause,[status(thm)],[f2994])).
% 0.15/0.42  fof(f3024,plain,(
% 0.15/0.42    ![X0]: (q1(X0,a,X0))),
% 0.15/0.42    inference(resolution,[status(thm)],[f2835,f383])).
% 0.15/0.42  fof(f3047,plain,(
% 0.15/0.42    ![X0,X1]: (k2(b,X0)|~k1(X1)|~k2(X1,X0))),
% 0.15/0.42    inference(resolution,[status(thm)],[f611,f2218])).
% 0.15/0.42  fof(f3085,plain,(
% 0.15/0.42    spl0_424 <=> ~p0(X0,b)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f3086,plain,(
% 0.15/0.42    ![X0]: (~p0(X0,b)|~spl0_424)),
% 0.15/0.42    inference(component_clause,[status(thm)],[f3085])).
% 0.15/0.42  fof(f3091,plain,(
% 0.15/0.42    spl0_425 <=> ~p0(X0,e)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f3092,plain,(
% 0.15/0.42    ![X0]: (~p0(X0,e)|~spl0_425)),
% 0.15/0.42    inference(component_clause,[status(thm)],[f3091])).
% 0.15/0.42  fof(f3138,plain,(
% 0.15/0.42    spl0_432 <=> n0(e,e)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f3140,plain,(
% 0.15/0.42    ~n0(e,e)|spl0_432),
% 0.15/0.42    inference(component_clause,[status(thm)],[f3138])).
% 0.15/0.42  fof(f3149,plain,(
% 0.15/0.42    $false|spl0_432),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f3140,f399])).
% 0.15/0.42  fof(f3150,plain,(
% 0.15/0.42    spl0_432),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f3149])).
% 0.15/0.42  fof(f3151,plain,(
% 0.15/0.42    ![X0]: (p2(X0,a,X0))),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f632,f3024])).
% 0.15/0.42  fof(f3180,plain,(
% 0.15/0.42    ![X0]: (l3(X0,a)|~r0(X0))),
% 0.15/0.42    inference(resolution,[status(thm)],[f742,f3151])).
% 0.15/0.42  fof(f3183,plain,(
% 0.15/0.42    l3(b,a)),
% 0.15/0.42    inference(resolution,[status(thm)],[f3180,f378])).
% 0.15/0.42  fof(f3184,plain,(
% 0.15/0.42    $false|spl0_257),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f3183,f1833])).
% 0.15/0.42  fof(f3185,plain,(
% 0.15/0.42    spl0_257),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f3184])).
% 0.15/0.42  fof(f3188,plain,(
% 0.15/0.42    ![X0,X1]: (l2(X0,X1)|~n0(e,X1)|~l2(X1,X1)|~spl0_106)),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f617,f2349])).
% 0.15/0.42  fof(f3198,plain,(
% 0.15/0.42    ~n0(e,e)|~l2(e,e)|~spl0_106),
% 0.15/0.42    inference(resolution,[status(thm)],[f3188,f924])).
% 0.15/0.42  fof(f3199,plain,(
% 0.15/0.42    ~spl0_432|~spl0_316|~spl0_106),
% 0.15/0.42    inference(split_clause,[status(thm)],[f3198,f3138,f2168,f1304])).
% 0.15/0.42  fof(f3284,plain,(
% 0.15/0.42    spl0_451 <=> m1(b,e,b)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f3286,plain,(
% 0.15/0.42    ~m1(b,e,b)|spl0_451),
% 0.15/0.42    inference(component_clause,[status(thm)],[f3284])).
% 0.15/0.42  fof(f3340,plain,(
% 0.15/0.42    $false|spl0_451),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f3286,f2218])).
% 0.15/0.42  fof(f3341,plain,(
% 0.15/0.42    spl0_451),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f3340])).
% 0.15/0.42  fof(f3342,plain,(
% 0.15/0.42    $false|~spl0_91),
% 0.15/0.42    inference(backward_subsumption_resolution,[status(thm)],[f387,f1249])).
% 0.15/0.42  fof(f3343,plain,(
% 0.15/0.42    ~spl0_91),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f3342])).
% 0.15/0.42  fof(f3406,plain,(
% 0.15/0.42    $false|~spl0_407),
% 0.15/0.42    inference(resolution,[status(thm)],[f383,f2995])).
% 0.15/0.42  fof(f3407,plain,(
% 0.15/0.42    ~spl0_407),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f3406])).
% 0.15/0.42  fof(f3408,plain,(
% 0.15/0.42    $false|~spl0_425),
% 0.15/0.42    inference(resolution,[status(thm)],[f383,f3092])).
% 0.15/0.42  fof(f3409,plain,(
% 0.15/0.42    ~spl0_425),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f3408])).
% 0.15/0.42  fof(f3416,plain,(
% 0.15/0.42    $false|spl0_123),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f1365,f2400])).
% 0.15/0.42  fof(f3417,plain,(
% 0.15/0.42    spl0_123),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f3416])).
% 0.15/0.42  fof(f3449,plain,(
% 0.15/0.42    spl0_469 <=> p0(b,e)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f3451,plain,(
% 0.15/0.42    ~p0(b,e)|spl0_469),
% 0.15/0.42    inference(component_clause,[status(thm)],[f3449])).
% 0.15/0.42  fof(f3454,plain,(
% 0.15/0.42    spl0_470 <=> p0(b,c)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f3456,plain,(
% 0.15/0.42    ~p0(b,c)|spl0_470),
% 0.15/0.42    inference(component_clause,[status(thm)],[f3454])).
% 0.15/0.42  fof(f3482,plain,(
% 0.15/0.42    $false|spl0_470),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f3456,f383])).
% 0.15/0.42  fof(f3483,plain,(
% 0.15/0.42    spl0_470),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f3482])).
% 0.15/0.42  fof(f3484,plain,(
% 0.15/0.42    $false|spl0_469),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f3451,f383])).
% 0.15/0.42  fof(f3485,plain,(
% 0.15/0.42    spl0_469),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f3484])).
% 0.15/0.42  fof(f3666,plain,(
% 0.15/0.42    spl0_502 <=> m0(d,d,c)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f3668,plain,(
% 0.15/0.42    ~m0(d,d,c)|spl0_502),
% 0.15/0.42    inference(component_clause,[status(thm)],[f3666])).
% 0.15/0.42  fof(f3693,plain,(
% 0.15/0.42    spl0_507 <=> m0(a,a,a)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f3695,plain,(
% 0.15/0.42    ~m0(a,a,a)|spl0_507),
% 0.15/0.42    inference(component_clause,[status(thm)],[f3693])).
% 0.15/0.42  fof(f3703,plain,(
% 0.15/0.42    $false|spl0_507),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f3695,f381])).
% 0.15/0.42  fof(f3704,plain,(
% 0.15/0.42    spl0_507),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f3703])).
% 0.15/0.42  fof(f3705,plain,(
% 0.15/0.42    $false|spl0_502),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f3668,f388])).
% 0.15/0.42  fof(f3706,plain,(
% 0.15/0.42    spl0_502),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f3705])).
% 0.15/0.42  fof(f3806,plain,(
% 0.15/0.42    ![X0,X1]: (q2(X0,X1,X1)|~k0(X1))),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f687,f2399])).
% 0.15/0.42  fof(f3808,plain,(
% 0.15/0.42    ![X0]: (q2(X0,e,e))),
% 0.15/0.42    inference(resolution,[status(thm)],[f3806,f397])).
% 0.15/0.42  fof(f3812,plain,(
% 0.15/0.42    ![X0]: (k2(b,X0)|~k2(c,X0))),
% 0.15/0.42    inference(resolution,[status(thm)],[f3047,f2007])).
% 0.15/0.42  fof(f3818,plain,(
% 0.15/0.42    k2(b,c)),
% 0.15/0.42    inference(resolution,[status(thm)],[f3812,f2739])).
% 0.15/0.42  fof(f3819,plain,(
% 0.15/0.42    $false|spl0_211),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f3818,f1673])).
% 0.15/0.42  fof(f3820,plain,(
% 0.15/0.42    spl0_211),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f3819])).
% 0.15/0.42  fof(f3895,plain,(
% 0.15/0.42    spl0_530 <=> ~p3(X0,e,X1)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f3896,plain,(
% 0.15/0.42    ![X0,X1]: (~p3(X0,e,X1)|~spl0_530)),
% 0.15/0.42    inference(component_clause,[status(thm)],[f3895])).
% 0.15/0.42  fof(f3945,plain,(
% 0.15/0.42    spl0_538 <=> q2(d,e,e)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f3947,plain,(
% 0.15/0.42    ~q2(d,e,e)|spl0_538),
% 0.15/0.42    inference(component_clause,[status(thm)],[f3945])).
% 0.15/0.42  fof(f3964,plain,(
% 0.15/0.42    spl0_543 <=> p1(c,c,e)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f3966,plain,(
% 0.15/0.42    ~p1(c,c,e)|spl0_543),
% 0.15/0.42    inference(component_clause,[status(thm)],[f3964])).
% 0.15/0.42  fof(f3975,plain,(
% 0.15/0.42    spl0_546 <=> q2(b,e,e)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f3977,plain,(
% 0.15/0.42    ~q2(b,e,e)|spl0_546),
% 0.15/0.42    inference(component_clause,[status(thm)],[f3975])).
% 0.15/0.42  fof(f3988,plain,(
% 0.15/0.42    spl0_549 <=> p1(c,c,b)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f3990,plain,(
% 0.15/0.42    ~p1(c,c,b)|spl0_549),
% 0.15/0.42    inference(component_clause,[status(thm)],[f3988])).
% 0.15/0.42  fof(f3999,plain,(
% 0.15/0.42    $false|spl0_538),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f3947,f3808])).
% 0.15/0.42  fof(f4000,plain,(
% 0.15/0.42    spl0_538),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f3999])).
% 0.15/0.42  fof(f4001,plain,(
% 0.15/0.42    $false|spl0_549),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f3990,f2385])).
% 0.15/0.42  fof(f4002,plain,(
% 0.15/0.42    spl0_549),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f4001])).
% 0.15/0.42  fof(f4003,plain,(
% 0.15/0.42    $false|spl0_546),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f3977,f3808])).
% 0.15/0.42  fof(f4004,plain,(
% 0.15/0.42    spl0_546),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f4003])).
% 0.15/0.42  fof(f4005,plain,(
% 0.15/0.42    $false|spl0_543),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f3966,f2920])).
% 0.15/0.42  fof(f4006,plain,(
% 0.15/0.42    spl0_543),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f4005])).
% 0.15/0.42  fof(f4296,plain,(
% 0.15/0.42    spl0_588 <=> m0(d,d,d)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f4298,plain,(
% 0.15/0.42    ~m0(d,d,d)|spl0_588),
% 0.15/0.42    inference(component_clause,[status(thm)],[f4296])).
% 0.15/0.42  fof(f4304,plain,(
% 0.15/0.42    spl0_590 <=> m0(b,a,a)),
% 0.15/0.42    introduced(split_symbol_definition)).
% 0.15/0.42  fof(f4306,plain,(
% 0.15/0.42    ~m0(b,a,a)|spl0_590),
% 0.15/0.42    inference(component_clause,[status(thm)],[f4304])).
% 0.15/0.42  fof(f4317,plain,(
% 0.15/0.42    $false|spl0_588),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f4298,f388])).
% 0.15/0.42  fof(f4318,plain,(
% 0.15/0.42    spl0_588),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f4317])).
% 0.15/0.42  fof(f4319,plain,(
% 0.15/0.42    $false|spl0_590),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f4306,f407])).
% 0.15/0.42  fof(f4320,plain,(
% 0.15/0.42    spl0_590),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f4319])).
% 0.15/0.42  fof(f4324,plain,(
% 0.15/0.42    $false|~spl0_424),
% 0.15/0.42    inference(backward_subsumption_resolution,[status(thm)],[f387,f3086])).
% 0.15/0.42  fof(f4325,plain,(
% 0.15/0.42    ~spl0_424),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f4324])).
% 0.15/0.42  fof(f4368,plain,(
% 0.15/0.42    $false|~spl0_530),
% 0.15/0.42    inference(resolution,[status(thm)],[f3896,f2402])).
% 0.15/0.42  fof(f4369,plain,(
% 0.15/0.42    ~spl0_530),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f4368])).
% 0.15/0.42  fof(f4412,plain,(
% 0.15/0.42    ![X0,X1,X2]: (l2(X0,X0)|~m0(X1,X2,X0)|~spl0_106|~spl0_111)),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f1323,f2349])).
% 0.15/0.42  fof(f4417,plain,(
% 0.15/0.42    l2(e,e)|~spl0_106|~spl0_111),
% 0.15/0.42    inference(resolution,[status(thm)],[f4412,f400])).
% 0.15/0.42  fof(f4418,plain,(
% 0.15/0.42    $false|spl0_316|~spl0_106|~spl0_111),
% 0.15/0.42    inference(forward_subsumption_resolution,[status(thm)],[f4417,f2170])).
% 0.15/0.42  fof(f4419,plain,(
% 0.15/0.42    spl0_316|~spl0_106|~spl0_111),
% 0.15/0.42    inference(contradiction_clause,[status(thm)],[f4418])).
% 0.15/0.42  fof(f4420,plain,(
% 0.15/0.42    $false),
% 0.15/0.42    inference(sat_refutation,[status(thm)],[f1310,f1325,f2004,f2060,f3150,f3185,f3199,f3341,f3343,f3407,f3409,f3417,f3483,f3485,f3704,f3706,f3820,f4000,f4002,f4004,f4006,f4318,f4320,f4325,f4369,f4419])).
% 0.15/0.42  % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.44  % Elapsed time: 0.128715 seconds
% 0.15/0.44  % CPU time: 0.434418 seconds
% 0.15/0.44  % Memory used: 46.431 MB
%------------------------------------------------------------------------------