TSTP Solution File: SYN111-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN111-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.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 12:46:01 EDT 2023

% Result   : Unsatisfiable 0.19s 0.45s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN111-1 : TPTP v8.1.2. Released v1.1.0.
% 0.04/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n031.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 10:49:07 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.36  % Drodi V3.5.1
% 0.19/0.45  % Refutation found
% 0.19/0.45  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.45  % SZS output start CNFRefutation for theBenchmark
% 0.19/0.45  fof(f1,axiom,(
% 0.19/0.45    s0(d) ),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f3,axiom,(
% 0.19/0.45    n0(d,e) ),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f5,axiom,(
% 0.19/0.45    s0(b) ),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f7,axiom,(
% 0.19/0.45    n0(d,b) ),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f12,axiom,(
% 0.19/0.45    (![X]: (m0(a,X,a) ))),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f13,axiom,(
% 0.19/0.45    r0(e) ),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f14,axiom,(
% 0.19/0.45    (![X]: (p0(b,X) ))),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f15,axiom,(
% 0.19/0.45    n0(a,b) ),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f17,axiom,(
% 0.19/0.45    (![X]: (q0(X,d) ))),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f19,axiom,(
% 0.19/0.45    (![X,Y]: (m0(X,d,Y) ))),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f20,axiom,(
% 0.19/0.45    l0(a) ),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f21,axiom,(
% 0.19/0.45    q0(b,e) ),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f24,axiom,(
% 0.19/0.45    l0(c) ),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f26,axiom,(
% 0.19/0.45    n0(d,c) ),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f28,axiom,(
% 0.19/0.45    k0(e) ),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f30,axiom,(
% 0.19/0.45    n0(e,e) ),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f32,axiom,(
% 0.19/0.45    k0(b) ),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f34,axiom,(
% 0.19/0.45    n0(c,d) ),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f36,axiom,(
% 0.19/0.45    q0(a,b) ),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f37,axiom,(
% 0.19/0.45    n0(b,a) ),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f39,axiom,(
% 0.19/0.45    (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f40,axiom,(
% 0.19/0.45    (![G,H]: (( l1(G,G)| ~ n0(H,G) ) ))),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f59,axiom,(
% 0.19/0.45    (![I,J]: (( m1(I,J,I)| ~ l0(I)| ~ k0(J) ) ))),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f104,axiom,(
% 0.19/0.45    (![G,H]: (( p1(G,G,G)| ~ n0(H,G) ) ))),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f105,axiom,(
% 0.19/0.45    (![E,F]: (( p1(E,E,E)| ~ q0(F,E) ) ))),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f145,axiom,(
% 0.19/0.45    (![A]: (( q1(e,A,A)| ~ m0(A,d,A)| ~ m0(e,d,A) ) ))),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f163,axiom,(
% 0.19/0.45    (![I]: (( s1(I)| ~ p0(I,I) ) ))),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f165,axiom,(
% 0.19/0.45    (![C,D,E,F]: (( k2(C,D)| ~ m1(E,D,C)| ~ k1(F)| ~ k2(F,D) ) ))),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f167,axiom,(
% 0.19/0.45    (![J,A]: (( k2(J,J)| ~ q1(A,J,J) ) ))),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f219,axiom,(
% 0.19/0.45    (![I]: (( q2(I,I,I)| ~ p1(I,I,I) ) ))),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f293,axiom,(
% 0.19/0.45    (![G,H,I]: (( q3(G,H)| ~ q2(I,G,H)| ~ n0(I,G) ) ))),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f369,negated_conjecture,(
% 0.19/0.45    ~ k2(c,b) ),
% 0.19/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f370,plain,(
% 0.19/0.45    s0(d)),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f1])).
% 0.19/0.45  fof(f372,plain,(
% 0.19/0.45    n0(d,e)),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.45  fof(f374,plain,(
% 0.19/0.45    s0(b)),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f5])).
% 0.19/0.45  fof(f376,plain,(
% 0.19/0.45    n0(d,b)),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f7])).
% 0.19/0.45  fof(f381,plain,(
% 0.19/0.45    ![X0]: (m0(a,X0,a))),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f12])).
% 0.19/0.45  fof(f382,plain,(
% 0.19/0.45    r0(e)),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f13])).
% 0.19/0.45  fof(f383,plain,(
% 0.19/0.45    ![X0]: (p0(b,X0))),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f14])).
% 0.19/0.45  fof(f384,plain,(
% 0.19/0.45    n0(a,b)),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f15])).
% 0.19/0.45  fof(f386,plain,(
% 0.19/0.45    ![X0]: (q0(X0,d))),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f17])).
% 0.19/0.45  fof(f388,plain,(
% 0.19/0.45    ![X0,X1]: (m0(X0,d,X1))),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f19])).
% 0.19/0.45  fof(f389,plain,(
% 0.19/0.45    l0(a)),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f20])).
% 0.19/0.45  fof(f390,plain,(
% 0.19/0.45    q0(b,e)),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f21])).
% 0.19/0.45  fof(f393,plain,(
% 0.19/0.45    l0(c)),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f24])).
% 0.19/0.45  fof(f395,plain,(
% 0.19/0.45    n0(d,c)),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f26])).
% 0.19/0.45  fof(f397,plain,(
% 0.19/0.45    k0(e)),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f28])).
% 0.19/0.45  fof(f399,plain,(
% 0.19/0.45    n0(e,e)),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f30])).
% 0.19/0.45  fof(f401,plain,(
% 0.19/0.45    k0(b)),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f32])).
% 0.19/0.45  fof(f403,plain,(
% 0.19/0.45    n0(c,d)),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f34])).
% 0.19/0.45  fof(f405,plain,(
% 0.19/0.45    q0(a,b)),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f36])).
% 0.19/0.45  fof(f406,plain,(
% 0.19/0.45    n0(b,a)),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f37])).
% 0.19/0.45  fof(f408,plain,(
% 0.19/0.45    ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.19/0.45    inference(miniscoping,[status(esa)],[f39])).
% 0.19/0.45  fof(f409,plain,(
% 0.19/0.45    ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f408])).
% 0.19/0.45  fof(f410,plain,(
% 0.19/0.45    ![G]: (l1(G,G)|(![H]: ~n0(H,G)))),
% 0.19/0.45    inference(miniscoping,[status(esa)],[f40])).
% 0.19/0.45  fof(f411,plain,(
% 0.19/0.45    ![X0,X1]: (l1(X0,X0)|~n0(X1,X0))),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f410])).
% 0.19/0.45  fof(f442,plain,(
% 0.19/0.45    ![J]: ((![I]: (m1(I,J,I)|~l0(I)))|~k0(J))),
% 0.19/0.45    inference(miniscoping,[status(esa)],[f59])).
% 0.19/0.45  fof(f443,plain,(
% 0.19/0.45    ![X0,X1]: (m1(X0,X1,X0)|~l0(X0)|~k0(X1))),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f442])).
% 0.19/0.45  fof(f513,plain,(
% 0.19/0.45    ![G]: (p1(G,G,G)|(![H]: ~n0(H,G)))),
% 0.19/0.45    inference(miniscoping,[status(esa)],[f104])).
% 0.19/0.45  fof(f514,plain,(
% 0.19/0.45    ![X0,X1]: (p1(X0,X0,X0)|~n0(X1,X0))),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f513])).
% 0.19/0.45  fof(f515,plain,(
% 0.19/0.45    ![E]: (p1(E,E,E)|(![F]: ~q0(F,E)))),
% 0.19/0.45    inference(miniscoping,[status(esa)],[f105])).
% 0.19/0.45  fof(f516,plain,(
% 0.19/0.45    ![X0,X1]: (p1(X0,X0,X0)|~q0(X1,X0))),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f515])).
% 0.19/0.45  fof(f578,plain,(
% 0.19/0.45    ![X0]: (q1(e,X0,X0)|~m0(X0,d,X0)|~m0(e,d,X0))),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f145])).
% 0.19/0.45  fof(f607,plain,(
% 0.19/0.45    ![X0]: (s1(X0)|~p0(X0,X0))),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f163])).
% 0.19/0.45  fof(f610,plain,(
% 0.19/0.45    ![D,F]: (((![C]: (k2(C,D)|(![E]: ~m1(E,D,C))))|~k1(F))|~k2(F,D))),
% 0.19/0.45    inference(miniscoping,[status(esa)],[f165])).
% 0.19/0.45  fof(f611,plain,(
% 0.19/0.45    ![X0,X1,X2,X3]: (k2(X0,X1)|~m1(X2,X1,X0)|~k1(X3)|~k2(X3,X1))),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f610])).
% 0.19/0.45  fof(f613,plain,(
% 0.19/0.45    ![J]: (k2(J,J)|(![A]: ~q1(A,J,J)))),
% 0.19/0.45    inference(miniscoping,[status(esa)],[f167])).
% 0.19/0.45  fof(f614,plain,(
% 0.19/0.45    ![X0,X1]: (k2(X0,X0)|~q1(X1,X0,X0))),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f613])).
% 0.19/0.45  fof(f692,plain,(
% 0.19/0.45    ![X0]: (q2(X0,X0,X0)|~p1(X0,X0,X0))),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f219])).
% 0.19/0.45  fof(f801,plain,(
% 0.19/0.45    ![G,I]: ((![H]: (q3(G,H)|~q2(I,G,H)))|~n0(I,G))),
% 0.19/0.45    inference(miniscoping,[status(esa)],[f293])).
% 0.19/0.45  fof(f802,plain,(
% 0.19/0.45    ![X0,X1,X2]: (q3(X0,X1)|~q2(X2,X0,X1)|~n0(X2,X0))),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f801])).
% 0.19/0.45  fof(f924,plain,(
% 0.19/0.45    ~k2(c,b)),
% 0.19/0.45    inference(cnf_transformation,[status(esa)],[f369])).
% 0.19/0.45  fof(f963,plain,(
% 0.19/0.45    spl0_11 <=> r0(e)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f965,plain,(
% 0.19/0.45    ~r0(e)|spl0_11),
% 0.19/0.45    inference(component_clause,[status(thm)],[f963])).
% 0.19/0.45  fof(f987,plain,(
% 0.19/0.45    spl0_18 <=> s0(d)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f989,plain,(
% 0.19/0.45    ~s0(d)|spl0_18),
% 0.19/0.45    inference(component_clause,[status(thm)],[f987])).
% 0.19/0.45  fof(f994,plain,(
% 0.19/0.45    spl0_20 <=> l0(c)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f996,plain,(
% 0.19/0.45    ~l0(c)|spl0_20),
% 0.19/0.45    inference(component_clause,[status(thm)],[f994])).
% 0.19/0.45  fof(f1005,plain,(
% 0.19/0.45    spl0_23 <=> l0(a)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f1007,plain,(
% 0.19/0.45    ~l0(a)|spl0_23),
% 0.19/0.45    inference(component_clause,[status(thm)],[f1005])).
% 0.19/0.45  fof(f1037,plain,(
% 0.19/0.45    spl0_32 <=> k0(e)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f1039,plain,(
% 0.19/0.45    ~k0(e)|spl0_32),
% 0.19/0.45    inference(component_clause,[status(thm)],[f1037])).
% 0.19/0.45  fof(f1044,plain,(
% 0.19/0.45    spl0_34 <=> k1(a)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f1046,plain,(
% 0.19/0.45    ~k1(a)|spl0_34),
% 0.19/0.45    inference(component_clause,[status(thm)],[f1044])).
% 0.19/0.45  fof(f1051,plain,(
% 0.19/0.45    spl0_36 <=> s0(b)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f1053,plain,(
% 0.19/0.45    ~s0(b)|spl0_36),
% 0.19/0.45    inference(component_clause,[status(thm)],[f1051])).
% 0.19/0.45  fof(f1058,plain,(
% 0.19/0.45    spl0_38 <=> ~m0(X1,X2,X1)|~q0(X3,X2)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f1059,plain,(
% 0.19/0.45    ![X0,X1,X2]: (~m0(X0,X1,X0)|~q0(X2,X1)|~spl0_38)),
% 0.19/0.45    inference(component_clause,[status(thm)],[f1058])).
% 0.19/0.45  fof(f1120,plain,(
% 0.19/0.45    spl0_56 <=> k0(b)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f1122,plain,(
% 0.19/0.45    ~k0(b)|spl0_56),
% 0.19/0.45    inference(component_clause,[status(thm)],[f1120])).
% 0.19/0.45  fof(f1155,plain,(
% 0.19/0.45    spl0_66 <=> ~k1(X1)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f1156,plain,(
% 0.19/0.45    ![X0]: (~k1(X0)|~spl0_66)),
% 0.19/0.45    inference(component_clause,[status(thm)],[f1155])).
% 0.19/0.45  fof(f1166,plain,(
% 0.19/0.45    spl0_69 <=> p1(b,b,b)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f1168,plain,(
% 0.19/0.45    ~p1(b,b,b)|spl0_69),
% 0.19/0.45    inference(component_clause,[status(thm)],[f1166])).
% 0.19/0.45  fof(f1258,plain,(
% 0.19/0.45    spl0_94 <=> ~p0(X2,X2)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f1259,plain,(
% 0.19/0.45    ![X0]: (~p0(X0,X0)|~spl0_94)),
% 0.19/0.45    inference(component_clause,[status(thm)],[f1258])).
% 0.19/0.45  fof(f1307,plain,(
% 0.19/0.45    spl0_107 <=> ~s1(X2)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f1308,plain,(
% 0.19/0.45    ![X0]: (~s1(X0)|~spl0_107)),
% 0.19/0.45    inference(component_clause,[status(thm)],[f1307])).
% 0.19/0.45  fof(f1329,plain,(
% 0.19/0.45    spl0_113 <=> ~l1(X1,X2)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f1330,plain,(
% 0.19/0.45    ![X0,X1]: (~l1(X0,X1)|~spl0_113)),
% 0.19/0.45    inference(component_clause,[status(thm)],[f1329])).
% 0.19/0.45  fof(f1336,plain,(
% 0.19/0.45    spl0_115 <=> k1(b)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f1338,plain,(
% 0.19/0.45    ~k1(b)|spl0_115),
% 0.19/0.45    inference(component_clause,[status(thm)],[f1336])).
% 0.19/0.45  fof(f1346,plain,(
% 0.19/0.45    spl0_118 <=> k1(c)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f1348,plain,(
% 0.19/0.45    ~k1(c)|spl0_118),
% 0.19/0.45    inference(component_clause,[status(thm)],[f1346])).
% 0.19/0.45  fof(f1386,plain,(
% 0.19/0.45    spl0_130 <=> q1(e,e,e)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f1388,plain,(
% 0.19/0.45    ~q1(e,e,e)|spl0_130),
% 0.19/0.45    inference(component_clause,[status(thm)],[f1386])).
% 0.19/0.45  fof(f1421,plain,(
% 0.19/0.45    spl0_140 <=> k1(d)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f1423,plain,(
% 0.19/0.45    ~k1(d)|spl0_140),
% 0.19/0.45    inference(component_clause,[status(thm)],[f1421])).
% 0.19/0.45  fof(f1515,plain,(
% 0.19/0.45    spl0_167 <=> k1(e)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f1517,plain,(
% 0.19/0.45    ~k1(e)|spl0_167),
% 0.19/0.45    inference(component_clause,[status(thm)],[f1515])).
% 0.19/0.45  fof(f1787,plain,(
% 0.19/0.45    spl0_244 <=> k2(a,a)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f1789,plain,(
% 0.19/0.45    ~k2(a,a)|spl0_244),
% 0.19/0.45    inference(component_clause,[status(thm)],[f1787])).
% 0.19/0.45  fof(f1848,plain,(
% 0.19/0.45    spl0_262 <=> ~q3(X1,X2)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f1849,plain,(
% 0.19/0.45    ![X0,X1]: (~q3(X0,X1)|~spl0_262)),
% 0.19/0.45    inference(component_clause,[status(thm)],[f1848])).
% 0.19/0.45  fof(f1993,plain,(
% 0.19/0.45    ![X0]: (q1(e,X0,X0)|~m0(e,d,X0))),
% 0.19/0.45    inference(forward_subsumption_resolution,[status(thm)],[f578,f388])).
% 0.19/0.45  fof(f2015,plain,(
% 0.19/0.45    $false|spl0_56),
% 0.19/0.45    inference(forward_subsumption_resolution,[status(thm)],[f1122,f401])).
% 0.19/0.45  fof(f2016,plain,(
% 0.19/0.45    spl0_56),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2015])).
% 0.19/0.45  fof(f2017,plain,(
% 0.19/0.45    $false|spl0_20),
% 0.19/0.45    inference(forward_subsumption_resolution,[status(thm)],[f996,f393])).
% 0.19/0.45  fof(f2018,plain,(
% 0.19/0.45    spl0_20),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2017])).
% 0.19/0.45  fof(f2019,plain,(
% 0.19/0.45    $false|spl0_18),
% 0.19/0.45    inference(forward_subsumption_resolution,[status(thm)],[f989,f370])).
% 0.19/0.45  fof(f2020,plain,(
% 0.19/0.45    spl0_18),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2019])).
% 0.19/0.45  fof(f2021,plain,(
% 0.19/0.45    $false|spl0_36),
% 0.19/0.45    inference(forward_subsumption_resolution,[status(thm)],[f1053,f374])).
% 0.19/0.45  fof(f2022,plain,(
% 0.19/0.45    spl0_36),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2021])).
% 0.19/0.45  fof(f2023,plain,(
% 0.19/0.45    $false|spl0_11),
% 0.19/0.45    inference(forward_subsumption_resolution,[status(thm)],[f965,f382])).
% 0.19/0.45  fof(f2024,plain,(
% 0.19/0.45    spl0_11),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2023])).
% 0.19/0.45  fof(f2030,plain,(
% 0.19/0.45    $false|spl0_32),
% 0.19/0.45    inference(forward_subsumption_resolution,[status(thm)],[f1039,f397])).
% 0.19/0.45  fof(f2031,plain,(
% 0.19/0.45    spl0_32),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2030])).
% 0.19/0.45  fof(f2037,plain,(
% 0.19/0.45    ![X0,X1]: (~n0(X0,X1)|~spl0_66)),
% 0.19/0.45    inference(backward_subsumption_resolution,[status(thm)],[f409,f1156])).
% 0.19/0.45  fof(f2045,plain,(
% 0.19/0.45    $false|spl0_23),
% 0.19/0.45    inference(forward_subsumption_resolution,[status(thm)],[f389,f1007])).
% 0.19/0.45  fof(f2046,plain,(
% 0.19/0.45    spl0_23),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2045])).
% 0.19/0.45  fof(f2048,plain,(
% 0.19/0.45    $false|~spl0_66),
% 0.19/0.45    inference(backward_subsumption_resolution,[status(thm)],[f406,f2037])).
% 0.19/0.45  fof(f2049,plain,(
% 0.19/0.45    ~spl0_66),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2048])).
% 0.19/0.45  fof(f2057,plain,(
% 0.19/0.45    ![X0,X1,X2]: (~q2(X0,X1,X2)|~n0(X0,X1)|~spl0_262)),
% 0.19/0.45    inference(backward_subsumption_resolution,[status(thm)],[f802,f1849])).
% 0.19/0.45  fof(f2064,plain,(
% 0.19/0.45    ![X0,X1]: (~n0(X0,X1)|~spl0_113)),
% 0.19/0.45    inference(forward_subsumption_resolution,[status(thm)],[f411,f1330])).
% 0.19/0.45  fof(f2065,plain,(
% 0.19/0.45    $false|~spl0_113),
% 0.19/0.45    inference(forward_subsumption_resolution,[status(thm)],[f372,f2064])).
% 0.19/0.45  fof(f2066,plain,(
% 0.19/0.45    ~spl0_113),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2065])).
% 0.19/0.45  fof(f2072,plain,(
% 0.19/0.45    ![X0]: (q1(e,X0,X0))),
% 0.19/0.45    inference(forward_subsumption_resolution,[status(thm)],[f1993,f388])).
% 0.19/0.45  fof(f2073,plain,(
% 0.19/0.45    $false|spl0_130),
% 0.19/0.45    inference(backward_subsumption_resolution,[status(thm)],[f1388,f2072])).
% 0.19/0.45  fof(f2074,plain,(
% 0.19/0.45    spl0_130),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2073])).
% 0.19/0.45  fof(f2075,plain,(
% 0.19/0.45    $false|~spl0_94),
% 0.19/0.45    inference(resolution,[status(thm)],[f1259,f383])).
% 0.19/0.45  fof(f2076,plain,(
% 0.19/0.45    ~spl0_94),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2075])).
% 0.19/0.45  fof(f2077,plain,(
% 0.19/0.45    ![X0]: (~p0(X0,X0)|~spl0_107)),
% 0.19/0.45    inference(forward_subsumption_resolution,[status(thm)],[f607,f1308])).
% 0.19/0.45  fof(f2078,plain,(
% 0.19/0.45    $false|~spl0_107),
% 0.19/0.45    inference(resolution,[status(thm)],[f2077,f383])).
% 0.19/0.45  fof(f2079,plain,(
% 0.19/0.45    ~spl0_107),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2078])).
% 0.19/0.45  fof(f2127,plain,(
% 0.19/0.45    ![X0,X1]: (~q0(X0,X1)|~spl0_38)),
% 0.19/0.45    inference(resolution,[status(thm)],[f1059,f381])).
% 0.19/0.45  fof(f2129,plain,(
% 0.19/0.45    $false|~spl0_38),
% 0.19/0.45    inference(backward_subsumption_resolution,[status(thm)],[f390,f2127])).
% 0.19/0.45  fof(f2130,plain,(
% 0.19/0.45    ~spl0_38),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2129])).
% 0.19/0.45  fof(f2149,plain,(
% 0.19/0.45    spl0_305 <=> p1(d,d,d)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f2151,plain,(
% 0.19/0.45    ~p1(d,d,d)|spl0_305),
% 0.19/0.45    inference(component_clause,[status(thm)],[f2149])).
% 0.19/0.45  fof(f2157,plain,(
% 0.19/0.45    ![X0]: (~p1(X0,X0,X0)|~n0(X0,X0)|~spl0_262)),
% 0.19/0.45    inference(resolution,[status(thm)],[f692,f2057])).
% 0.19/0.45  fof(f2158,plain,(
% 0.19/0.45    ![X0]: (~n0(X0,X0)|~spl0_262)),
% 0.19/0.45    inference(forward_subsumption_resolution,[status(thm)],[f2157,f514])).
% 0.19/0.45  fof(f2159,plain,(
% 0.19/0.45    $false|~spl0_262),
% 0.19/0.45    inference(backward_subsumption_resolution,[status(thm)],[f399,f2158])).
% 0.19/0.45  fof(f2160,plain,(
% 0.19/0.45    ~spl0_262),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2159])).
% 0.19/0.45  fof(f2162,plain,(
% 0.19/0.45    ![X0]: (~q0(X0,d)|spl0_305)),
% 0.19/0.45    inference(resolution,[status(thm)],[f2151,f516])).
% 0.19/0.45  fof(f2163,plain,(
% 0.19/0.45    $false|spl0_305),
% 0.19/0.45    inference(forward_subsumption_resolution,[status(thm)],[f2162,f386])).
% 0.19/0.45  fof(f2164,plain,(
% 0.19/0.45    spl0_305),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2163])).
% 0.19/0.45  fof(f2176,plain,(
% 0.19/0.45    ![X0]: (~q0(X0,b)|spl0_69)),
% 0.19/0.45    inference(resolution,[status(thm)],[f1168,f516])).
% 0.19/0.45  fof(f2185,plain,(
% 0.19/0.45    $false|spl0_69),
% 0.19/0.45    inference(backward_subsumption_resolution,[status(thm)],[f405,f2176])).
% 0.19/0.45  fof(f2186,plain,(
% 0.19/0.45    spl0_69),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2185])).
% 0.19/0.45  fof(f2201,plain,(
% 0.19/0.45    spl0_310 <=> m0(a,e,a)),
% 0.19/0.45    introduced(split_symbol_definition)).
% 0.19/0.45  fof(f2203,plain,(
% 0.19/0.45    ~m0(a,e,a)|spl0_310),
% 0.19/0.45    inference(component_clause,[status(thm)],[f2201])).
% 0.19/0.45  fof(f2210,plain,(
% 0.19/0.45    $false|spl0_310),
% 0.19/0.45    inference(forward_subsumption_resolution,[status(thm)],[f2203,f381])).
% 0.19/0.45  fof(f2211,plain,(
% 0.19/0.45    spl0_310),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2210])).
% 0.19/0.45  fof(f2270,plain,(
% 0.19/0.45    ![X0]: (k2(X0,X0))),
% 0.19/0.45    inference(resolution,[status(thm)],[f2072,f614])).
% 0.19/0.45  fof(f2271,plain,(
% 0.19/0.45    $false|spl0_244),
% 0.19/0.45    inference(backward_subsumption_resolution,[status(thm)],[f1789,f2270])).
% 0.19/0.45  fof(f2272,plain,(
% 0.19/0.45    spl0_244),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2271])).
% 0.19/0.45  fof(f2276,plain,(
% 0.19/0.45    k1(b)),
% 0.19/0.45    inference(resolution,[status(thm)],[f409,f384])).
% 0.19/0.45  fof(f2277,plain,(
% 0.19/0.45    $false|spl0_115),
% 0.19/0.45    inference(forward_subsumption_resolution,[status(thm)],[f2276,f1338])).
% 0.19/0.45  fof(f2278,plain,(
% 0.19/0.45    spl0_115),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2277])).
% 0.19/0.45  fof(f2279,plain,(
% 0.19/0.45    k1(b)),
% 0.19/0.45    inference(resolution,[status(thm)],[f409,f376])).
% 0.19/0.45  fof(f2280,plain,(
% 0.19/0.45    k1(c)),
% 0.19/0.45    inference(resolution,[status(thm)],[f409,f395])).
% 0.19/0.45  fof(f2281,plain,(
% 0.19/0.45    $false|spl0_118),
% 0.19/0.45    inference(forward_subsumption_resolution,[status(thm)],[f2280,f1348])).
% 0.19/0.45  fof(f2282,plain,(
% 0.19/0.45    spl0_118),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2281])).
% 0.19/0.45  fof(f2283,plain,(
% 0.19/0.45    k1(e)),
% 0.19/0.45    inference(resolution,[status(thm)],[f409,f372])).
% 0.19/0.45  fof(f2284,plain,(
% 0.19/0.45    $false|spl0_167),
% 0.19/0.45    inference(forward_subsumption_resolution,[status(thm)],[f2283,f1517])).
% 0.19/0.45  fof(f2285,plain,(
% 0.19/0.45    spl0_167),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2284])).
% 0.19/0.45  fof(f2288,plain,(
% 0.19/0.45    k1(d)),
% 0.19/0.45    inference(resolution,[status(thm)],[f409,f403])).
% 0.19/0.45  fof(f2289,plain,(
% 0.19/0.45    $false|spl0_140),
% 0.19/0.45    inference(forward_subsumption_resolution,[status(thm)],[f2288,f1423])).
% 0.19/0.45  fof(f2290,plain,(
% 0.19/0.45    spl0_140),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2289])).
% 0.19/0.45  fof(f2291,plain,(
% 0.19/0.45    k1(a)),
% 0.19/0.45    inference(resolution,[status(thm)],[f409,f406])).
% 0.19/0.45  fof(f2292,plain,(
% 0.19/0.45    $false|spl0_34),
% 0.19/0.45    inference(forward_subsumption_resolution,[status(thm)],[f2291,f1046])).
% 0.19/0.45  fof(f2293,plain,(
% 0.19/0.45    spl0_34),
% 0.19/0.45    inference(contradiction_clause,[status(thm)],[f2292])).
% 0.19/0.45  fof(f2298,plain,(
% 0.19/0.45    ![X0,X1,X2]: (k2(X0,X1)|~m1(X2,X1,X0)|~k2(b,X1))),
% 0.19/0.45    inference(resolution,[status(thm)],[f2279,f611])).
% 0.19/0.45  fof(f2299,plain,(
% 0.19/0.45    ![X0,X1]: (k2(X0,b)|~m1(X1,b,X0))),
% 0.19/0.45    inference(resolution,[status(thm)],[f2298,f2270])).
% 0.19/0.45  fof(f2308,plain,(
% 0.19/0.45    ![X0]: (~m1(X0,b,c))),
% 0.19/0.45    inference(resolution,[status(thm)],[f2299,f924])).
% 0.19/0.45  fof(f2310,plain,(
% 0.19/0.45    ~l0(c)|~k0(b)),
% 0.19/0.45    inference(resolution,[status(thm)],[f2308,f443])).
% 0.19/0.45  fof(f2311,plain,(
% 0.19/0.45    ~spl0_20|~spl0_56),
% 0.19/0.45    inference(split_clause,[status(thm)],[f2310,f994,f1120])).
% 0.19/0.45  fof(f2315,plain,(
% 0.19/0.45    $false),
% 0.19/0.45    inference(sat_refutation,[status(thm)],[f2016,f2018,f2020,f2022,f2024,f2031,f2046,f2049,f2066,f2074,f2076,f2079,f2130,f2160,f2164,f2186,f2211,f2272,f2278,f2282,f2285,f2290,f2293,f2311])).
% 0.19/0.45  % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.47  % Elapsed time: 0.124748 seconds
% 0.19/0.47  % CPU time: 0.376218 seconds
% 0.19/0.47  % Memory used: 38.922 MB
%------------------------------------------------------------------------------