TSTP Solution File: SYN248-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN248-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.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 20:51:41 EDT 2024

% Result   : Unsatisfiable 0.18s 0.44s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN248-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Apr 29 22:22:47 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.12/0.35  % Drodi V3.6.0
% 0.18/0.44  % Refutation found
% 0.18/0.44  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.44  % SZS output start CNFRefutation for theBenchmark
% 0.18/0.44  fof(f3,axiom,(
% 0.18/0.44    n0(d,e) ),
% 0.18/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44  fof(f7,axiom,(
% 0.18/0.44    n0(d,b) ),
% 0.18/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44  fof(f12,axiom,(
% 0.18/0.44    (![X]: (m0(a,X,a) ))),
% 0.18/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44  fof(f14,axiom,(
% 0.18/0.44    (![X]: (p0(b,X) ))),
% 0.18/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44  fof(f17,axiom,(
% 0.18/0.44    (![X]: (q0(X,d) ))),
% 0.18/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44  fof(f19,axiom,(
% 0.18/0.44    (![X,Y]: (m0(X,d,Y) ))),
% 0.18/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44  fof(f21,axiom,(
% 0.18/0.44    q0(b,e) ),
% 0.18/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44  fof(f26,axiom,(
% 0.18/0.44    n0(d,c) ),
% 0.18/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44  fof(f30,axiom,(
% 0.18/0.44    n0(e,e) ),
% 0.18/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44  fof(f37,axiom,(
% 0.18/0.44    n0(b,a) ),
% 0.18/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44  fof(f39,axiom,(
% 0.18/0.44    (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.18/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44  fof(f40,axiom,(
% 0.18/0.44    (![G,H]: (( l1(G,G)| ~ n0(H,G) ) ))),
% 0.18/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44  fof(f72,axiom,(
% 0.18/0.44    (![A,B]: (( m1(A,B,B)| ~ k1(a)| ~ k1(B)| ~ q0(A,A) ) ))),
% 0.18/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44  fof(f104,axiom,(
% 0.18/0.44    (![G,H]: (( p1(G,G,G)| ~ n0(H,G) ) ))),
% 0.18/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44  fof(f105,axiom,(
% 0.18/0.44    (![E,F]: (( p1(E,E,E)| ~ q0(F,E) ) ))),
% 0.18/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44  fof(f145,axiom,(
% 0.18/0.44    (![A]: (( q1(e,A,A)| ~ m0(A,d,A)| ~ m0(e,d,A) ) ))),
% 0.18/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44  fof(f167,axiom,(
% 0.18/0.44    (![J,A]: (( k2(J,J)| ~ q1(A,J,J) ) ))),
% 0.18/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44  fof(f219,axiom,(
% 0.18/0.44    (![I]: (( q2(I,I,I)| ~ p1(I,I,I) ) ))),
% 0.18/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44  fof(f293,axiom,(
% 0.18/0.44    (![G,H,I]: (( q3(G,H)| ~ q2(I,G,H)| ~ n0(I,G) ) ))),
% 0.18/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44  fof(f369,negated_conjecture,(
% 0.18/0.44    ~ m1(d,c,c) ),
% 0.18/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44  fof(f372,plain,(
% 0.18/0.44    n0(d,e)),
% 0.18/0.44    inference(cnf_transformation,[status(esa)],[f3])).
% 0.18/0.44  fof(f376,plain,(
% 0.18/0.44    n0(d,b)),
% 0.18/0.44    inference(cnf_transformation,[status(esa)],[f7])).
% 0.18/0.44  fof(f381,plain,(
% 0.18/0.44    ![X0]: (m0(a,X0,a))),
% 0.18/0.44    inference(cnf_transformation,[status(esa)],[f12])).
% 0.18/0.44  fof(f383,plain,(
% 0.18/0.44    ![X0]: (p0(b,X0))),
% 0.18/0.44    inference(cnf_transformation,[status(esa)],[f14])).
% 0.18/0.44  fof(f386,plain,(
% 0.18/0.44    ![X0]: (q0(X0,d))),
% 0.18/0.44    inference(cnf_transformation,[status(esa)],[f17])).
% 0.18/0.44  fof(f388,plain,(
% 0.18/0.44    ![X0,X1]: (m0(X0,d,X1))),
% 0.18/0.44    inference(cnf_transformation,[status(esa)],[f19])).
% 0.18/0.44  fof(f390,plain,(
% 0.18/0.44    q0(b,e)),
% 0.18/0.44    inference(cnf_transformation,[status(esa)],[f21])).
% 0.18/0.44  fof(f395,plain,(
% 0.18/0.44    n0(d,c)),
% 0.18/0.44    inference(cnf_transformation,[status(esa)],[f26])).
% 0.18/0.44  fof(f399,plain,(
% 0.18/0.44    n0(e,e)),
% 0.18/0.44    inference(cnf_transformation,[status(esa)],[f30])).
% 0.18/0.44  fof(f406,plain,(
% 0.18/0.44    n0(b,a)),
% 0.18/0.44    inference(cnf_transformation,[status(esa)],[f37])).
% 0.18/0.44  fof(f408,plain,(
% 0.18/0.44    ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.18/0.44    inference(miniscoping,[status(esa)],[f39])).
% 0.18/0.44  fof(f409,plain,(
% 0.18/0.44    ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.18/0.44    inference(cnf_transformation,[status(esa)],[f408])).
% 0.18/0.44  fof(f410,plain,(
% 0.18/0.44    ![G]: (l1(G,G)|(![H]: ~n0(H,G)))),
% 0.18/0.44    inference(miniscoping,[status(esa)],[f40])).
% 0.18/0.44  fof(f411,plain,(
% 0.18/0.44    ![X0,X1]: (l1(X0,X0)|~n0(X1,X0))),
% 0.18/0.44    inference(cnf_transformation,[status(esa)],[f410])).
% 0.18/0.44  fof(f462,plain,(
% 0.18/0.44    ![A]: ((![B]: ((m1(A,B,B)|~k1(a))|~k1(B)))|~q0(A,A))),
% 0.18/0.44    inference(miniscoping,[status(esa)],[f72])).
% 0.18/0.44  fof(f463,plain,(
% 0.18/0.44    ![X0,X1]: (m1(X0,X1,X1)|~k1(a)|~k1(X1)|~q0(X0,X0))),
% 0.18/0.44    inference(cnf_transformation,[status(esa)],[f462])).
% 0.18/0.44  fof(f513,plain,(
% 0.18/0.44    ![G]: (p1(G,G,G)|(![H]: ~n0(H,G)))),
% 0.18/0.44    inference(miniscoping,[status(esa)],[f104])).
% 0.18/0.44  fof(f514,plain,(
% 0.18/0.44    ![X0,X1]: (p1(X0,X0,X0)|~n0(X1,X0))),
% 0.18/0.44    inference(cnf_transformation,[status(esa)],[f513])).
% 0.18/0.44  fof(f515,plain,(
% 0.18/0.44    ![E]: (p1(E,E,E)|(![F]: ~q0(F,E)))),
% 0.18/0.44    inference(miniscoping,[status(esa)],[f105])).
% 0.18/0.44  fof(f516,plain,(
% 0.18/0.44    ![X0,X1]: (p1(X0,X0,X0)|~q0(X1,X0))),
% 0.18/0.44    inference(cnf_transformation,[status(esa)],[f515])).
% 0.18/0.44  fof(f578,plain,(
% 0.18/0.44    ![X0]: (q1(e,X0,X0)|~m0(X0,d,X0)|~m0(e,d,X0))),
% 0.18/0.44    inference(cnf_transformation,[status(esa)],[f145])).
% 0.18/0.44  fof(f613,plain,(
% 0.18/0.44    ![J]: (k2(J,J)|(![A]: ~q1(A,J,J)))),
% 0.18/0.44    inference(miniscoping,[status(esa)],[f167])).
% 0.18/0.44  fof(f614,plain,(
% 0.18/0.44    ![X0,X1]: (k2(X0,X0)|~q1(X1,X0,X0))),
% 0.18/0.44    inference(cnf_transformation,[status(esa)],[f613])).
% 0.18/0.44  fof(f692,plain,(
% 0.18/0.44    ![X0]: (q2(X0,X0,X0)|~p1(X0,X0,X0))),
% 0.18/0.44    inference(cnf_transformation,[status(esa)],[f219])).
% 0.18/0.44  fof(f801,plain,(
% 0.18/0.44    ![G,I]: ((![H]: (q3(G,H)|~q2(I,G,H)))|~n0(I,G))),
% 0.18/0.44    inference(miniscoping,[status(esa)],[f293])).
% 0.18/0.44  fof(f802,plain,(
% 0.18/0.44    ![X0,X1,X2]: (q3(X0,X1)|~q2(X2,X0,X1)|~n0(X2,X0))),
% 0.18/0.44    inference(cnf_transformation,[status(esa)],[f801])).
% 0.18/0.44  fof(f924,plain,(
% 0.18/0.44    ~m1(d,c,c)),
% 0.18/0.44    inference(cnf_transformation,[status(esa)],[f369])).
% 0.18/0.44  fof(f956,plain,(
% 0.18/0.44    spl0_9 <=> l1(c,c)),
% 0.18/0.44    introduced(split_symbol_definition)).
% 0.18/0.44  fof(f958,plain,(
% 0.18/0.44    ~l1(c,c)|spl0_9),
% 0.18/0.44    inference(component_clause,[status(thm)],[f956])).
% 0.18/0.44  fof(f1041,plain,(
% 0.18/0.44    spl0_33 <=> m1(X0,X1,X1)|~k1(X1)|~q0(X0,X0)),
% 0.18/0.44    introduced(split_symbol_definition)).
% 0.18/0.44  fof(f1042,plain,(
% 0.18/0.44    ![X0,X1]: (m1(X0,X1,X1)|~k1(X1)|~q0(X0,X0)|~spl0_33)),
% 0.18/0.44    inference(component_clause,[status(thm)],[f1041])).
% 0.18/0.44  fof(f1044,plain,(
% 0.18/0.44    spl0_34 <=> k1(a)),
% 0.18/0.44    introduced(split_symbol_definition)).
% 0.18/0.44  fof(f1046,plain,(
% 0.18/0.44    ~k1(a)|spl0_34),
% 0.18/0.44    inference(component_clause,[status(thm)],[f1044])).
% 0.18/0.44  fof(f1047,plain,(
% 0.18/0.44    spl0_33|~spl0_34),
% 0.18/0.44    inference(split_clause,[status(thm)],[f463,f1041,f1044])).
% 0.18/0.44  fof(f1058,plain,(
% 0.18/0.44    spl0_38 <=> ~m0(X1,X2,X1)|~q0(X3,X2)),
% 0.18/0.44    introduced(split_symbol_definition)).
% 0.18/0.44  fof(f1059,plain,(
% 0.18/0.44    ![X0,X1,X2]: (~m0(X0,X1,X0)|~q0(X2,X1)|~spl0_38)),
% 0.18/0.44    inference(component_clause,[status(thm)],[f1058])).
% 0.18/0.44  fof(f1065,plain,(
% 0.18/0.44    spl0_40 <=> q0(d,d)),
% 0.18/0.44    introduced(split_symbol_definition)).
% 0.18/0.44  fof(f1067,plain,(
% 0.18/0.44    ~q0(d,d)|spl0_40),
% 0.18/0.44    inference(component_clause,[status(thm)],[f1065])).
% 0.18/0.44  fof(f1314,plain,(
% 0.18/0.44    spl0_109 <=> l1(e,e)),
% 0.18/0.44    introduced(split_symbol_definition)).
% 0.18/0.44  fof(f1316,plain,(
% 0.18/0.44    ~l1(e,e)|spl0_109),
% 0.18/0.44    inference(component_clause,[status(thm)],[f1314])).
% 0.18/0.44  fof(f1336,plain,(
% 0.18/0.44    spl0_115 <=> k1(b)),
% 0.18/0.44    introduced(split_symbol_definition)).
% 0.18/0.44  fof(f1338,plain,(
% 0.18/0.44    ~k1(b)|spl0_115),
% 0.18/0.44    inference(component_clause,[status(thm)],[f1336])).
% 0.18/0.44  fof(f1346,plain,(
% 0.18/0.44    spl0_118 <=> k1(c)),
% 0.18/0.44    introduced(split_symbol_definition)).
% 0.18/0.44  fof(f1348,plain,(
% 0.18/0.44    ~k1(c)|spl0_118),
% 0.18/0.44    inference(component_clause,[status(thm)],[f1346])).
% 0.18/0.44  fof(f1515,plain,(
% 0.18/0.44    spl0_167 <=> k1(e)),
% 0.18/0.44    introduced(split_symbol_definition)).
% 0.18/0.44  fof(f1517,plain,(
% 0.18/0.44    ~k1(e)|spl0_167),
% 0.18/0.44    inference(component_clause,[status(thm)],[f1515])).
% 0.18/0.44  fof(f1787,plain,(
% 0.18/0.44    spl0_244 <=> k2(a,a)),
% 0.18/0.44    introduced(split_symbol_definition)).
% 0.18/0.44  fof(f1789,plain,(
% 0.18/0.44    ~k2(a,a)|spl0_244),
% 0.18/0.44    inference(component_clause,[status(thm)],[f1787])).
% 0.18/0.44  fof(f1848,plain,(
% 0.18/0.44    spl0_262 <=> ~q3(X1,X2)),
% 0.18/0.44    introduced(split_symbol_definition)).
% 0.18/0.44  fof(f1849,plain,(
% 0.18/0.44    ![X0,X1]: (~q3(X0,X1)|~spl0_262)),
% 0.18/0.44    inference(component_clause,[status(thm)],[f1848])).
% 0.18/0.44  fof(f1993,plain,(
% 0.18/0.44    ![X0]: (q1(e,X0,X0)|~m0(e,d,X0))),
% 0.18/0.44    inference(forward_subsumption_resolution,[status(thm)],[f578,f388])).
% 0.18/0.44  fof(f1997,plain,(
% 0.18/0.44    $false|spl0_40),
% 0.18/0.44    inference(forward_subsumption_resolution,[status(thm)],[f1067,f386])).
% 0.18/0.44  fof(f1998,plain,(
% 0.18/0.44    spl0_40),
% 0.18/0.44    inference(contradiction_clause,[status(thm)],[f1997])).
% 0.18/0.44  fof(f2057,plain,(
% 0.18/0.44    ![X0,X1,X2]: (~q2(X0,X1,X2)|~n0(X0,X1)|~spl0_262)),
% 0.18/0.44    inference(backward_subsumption_resolution,[status(thm)],[f802,f1849])).
% 0.18/0.44  fof(f2072,plain,(
% 0.18/0.44    ![X0]: (q1(e,X0,X0))),
% 0.18/0.44    inference(forward_subsumption_resolution,[status(thm)],[f1993,f388])).
% 0.18/0.44  fof(f2094,plain,(
% 0.18/0.44    ![X0]: (~n0(X0,c)|spl0_118)),
% 0.18/0.44    inference(resolution,[status(thm)],[f409,f1348])).
% 0.18/0.44  fof(f2096,plain,(
% 0.18/0.44    ![X0]: (~n0(X0,a)|spl0_34)),
% 0.18/0.44    inference(resolution,[status(thm)],[f409,f1046])).
% 0.18/0.44  fof(f2097,plain,(
% 0.18/0.44    ![X0]: (~n0(X0,e)|spl0_167)),
% 0.18/0.44    inference(resolution,[status(thm)],[f409,f1517])).
% 0.18/0.44  fof(f2098,plain,(
% 0.18/0.44    ![X0]: (~n0(X0,b)|spl0_115)),
% 0.18/0.44    inference(resolution,[status(thm)],[f409,f1338])).
% 0.18/0.44  fof(f2100,plain,(
% 0.18/0.44    $false|spl0_118),
% 0.18/0.44    inference(backward_subsumption_resolution,[status(thm)],[f395,f2094])).
% 0.18/0.44  fof(f2101,plain,(
% 0.18/0.44    spl0_118),
% 0.18/0.44    inference(contradiction_clause,[status(thm)],[f2100])).
% 0.18/0.44  fof(f2104,plain,(
% 0.18/0.44    $false|spl0_34),
% 0.18/0.44    inference(backward_subsumption_resolution,[status(thm)],[f406,f2096])).
% 0.18/0.44  fof(f2105,plain,(
% 0.18/0.44    spl0_34),
% 0.18/0.44    inference(contradiction_clause,[status(thm)],[f2104])).
% 0.18/0.44  fof(f2106,plain,(
% 0.18/0.44    $false|spl0_167),
% 0.18/0.44    inference(backward_subsumption_resolution,[status(thm)],[f372,f2097])).
% 0.18/0.44  fof(f2107,plain,(
% 0.18/0.44    spl0_167),
% 0.18/0.44    inference(contradiction_clause,[status(thm)],[f2106])).
% 0.18/0.44  fof(f2108,plain,(
% 0.18/0.44    $false|spl0_115),
% 0.18/0.44    inference(backward_subsumption_resolution,[status(thm)],[f376,f2098])).
% 0.18/0.44  fof(f2109,plain,(
% 0.18/0.44    spl0_115),
% 0.18/0.44    inference(contradiction_clause,[status(thm)],[f2108])).
% 0.18/0.44  fof(f2181,plain,(
% 0.18/0.44    ![X0]: (~n0(X0,e)|spl0_109)),
% 0.18/0.44    inference(resolution,[status(thm)],[f411,f1316])).
% 0.18/0.44  fof(f2182,plain,(
% 0.18/0.44    ![X0]: (~n0(X0,c)|spl0_9)),
% 0.18/0.44    inference(resolution,[status(thm)],[f411,f958])).
% 0.18/0.44  fof(f2184,plain,(
% 0.18/0.44    $false|spl0_109),
% 0.18/0.44    inference(backward_subsumption_resolution,[status(thm)],[f399,f2181])).
% 0.18/0.44  fof(f2185,plain,(
% 0.18/0.44    spl0_109),
% 0.18/0.44    inference(contradiction_clause,[status(thm)],[f2184])).
% 0.18/0.44  fof(f2186,plain,(
% 0.18/0.44    $false|spl0_9),
% 0.18/0.44    inference(backward_subsumption_resolution,[status(thm)],[f395,f2182])).
% 0.18/0.44  fof(f2187,plain,(
% 0.18/0.44    spl0_9),
% 0.18/0.44    inference(contradiction_clause,[status(thm)],[f2186])).
% 0.18/0.44  fof(f2243,plain,(
% 0.18/0.44    ![X0]: (~n0(X0,X0)|~p1(X0,X0,X0)|~spl0_262)),
% 0.18/0.44    inference(resolution,[status(thm)],[f2057,f692])).
% 0.18/0.44  fof(f2244,plain,(
% 0.18/0.44    ![X0]: (~n0(X0,X0)|~spl0_262)),
% 0.18/0.44    inference(forward_subsumption_resolution,[status(thm)],[f2243,f514])).
% 0.18/0.44  fof(f2249,plain,(
% 0.18/0.44    $false|~spl0_262),
% 0.18/0.44    inference(backward_subsumption_resolution,[status(thm)],[f399,f2244])).
% 0.18/0.44  fof(f2250,plain,(
% 0.18/0.44    ~spl0_262),
% 0.18/0.44    inference(contradiction_clause,[status(thm)],[f2249])).
% 0.18/0.44  fof(f2251,plain,(
% 0.18/0.44    ![X0]: (~q1(X0,a,a)|spl0_244)),
% 0.18/0.44    inference(resolution,[status(thm)],[f614,f1789])).
% 0.18/0.44  fof(f2254,plain,(
% 0.18/0.44    $false|spl0_244),
% 0.18/0.44    inference(resolution,[status(thm)],[f2251,f2072])).
% 0.18/0.44  fof(f2255,plain,(
% 0.18/0.44    spl0_244),
% 0.18/0.44    inference(contradiction_clause,[status(thm)],[f2254])).
% 0.18/0.44  fof(f2276,plain,(
% 0.18/0.44    spl0_308 <=> ~p0(X0,e)),
% 0.18/0.44    introduced(split_symbol_definition)).
% 0.18/0.44  fof(f2277,plain,(
% 0.18/0.44    ![X0]: (~p0(X0,e)|~spl0_308)),
% 0.18/0.44    inference(component_clause,[status(thm)],[f2276])).
% 0.18/0.44  fof(f2283,plain,(
% 0.18/0.44    $false|~spl0_308),
% 0.18/0.44    inference(resolution,[status(thm)],[f2277,f383])).
% 0.18/0.44  fof(f2284,plain,(
% 0.18/0.44    ~spl0_308),
% 0.18/0.44    inference(contradiction_clause,[status(thm)],[f2283])).
% 0.18/0.44  fof(f2287,plain,(
% 0.18/0.44    ![X0,X1]: (~q0(X0,X1)|~spl0_38)),
% 0.18/0.44    inference(resolution,[status(thm)],[f1059,f381])).
% 0.18/0.44  fof(f2289,plain,(
% 0.18/0.44    $false|~spl0_38),
% 0.18/0.44    inference(backward_subsumption_resolution,[status(thm)],[f390,f2287])).
% 0.18/0.44  fof(f2290,plain,(
% 0.18/0.44    ~spl0_38),
% 0.18/0.44    inference(contradiction_clause,[status(thm)],[f2289])).
% 0.18/0.44  fof(f2338,plain,(
% 0.18/0.44    spl0_310 <=> p1(d,d,d)),
% 0.18/0.44    introduced(split_symbol_definition)).
% 0.18/0.44  fof(f2340,plain,(
% 0.18/0.44    ~p1(d,d,d)|spl0_310),
% 0.18/0.44    inference(component_clause,[status(thm)],[f2338])).
% 0.18/0.44  fof(f2343,plain,(
% 0.18/0.44    ![X0]: (~q0(X0,d)|spl0_310)),
% 0.18/0.44    inference(resolution,[status(thm)],[f2340,f516])).
% 0.18/0.44  fof(f2344,plain,(
% 0.18/0.44    $false|spl0_310),
% 0.18/0.44    inference(forward_subsumption_resolution,[status(thm)],[f2343,f386])).
% 0.18/0.44  fof(f2345,plain,(
% 0.18/0.44    spl0_310),
% 0.18/0.44    inference(contradiction_clause,[status(thm)],[f2344])).
% 0.18/0.44  fof(f2346,plain,(
% 0.18/0.44    spl0_311 <=> ~p0(X0,a)),
% 0.18/0.44    introduced(split_symbol_definition)).
% 0.18/0.44  fof(f2347,plain,(
% 0.18/0.44    ![X0]: (~p0(X0,a)|~spl0_311)),
% 0.18/0.44    inference(component_clause,[status(thm)],[f2346])).
% 0.18/0.44  fof(f2352,plain,(
% 0.18/0.44    $false|~spl0_311),
% 0.18/0.44    inference(resolution,[status(thm)],[f2347,f383])).
% 0.18/0.44  fof(f2353,plain,(
% 0.18/0.44    ~spl0_311),
% 0.18/0.44    inference(contradiction_clause,[status(thm)],[f2352])).
% 0.18/0.44  fof(f2483,plain,(
% 0.18/0.44    spl0_322 <=> n0(d,e)),
% 0.18/0.44    introduced(split_symbol_definition)).
% 0.18/0.44  fof(f2485,plain,(
% 0.18/0.44    ~n0(d,e)|spl0_322),
% 0.18/0.44    inference(component_clause,[status(thm)],[f2483])).
% 0.18/0.44  fof(f2488,plain,(
% 0.18/0.44    $false|spl0_322),
% 0.18/0.44    inference(forward_subsumption_resolution,[status(thm)],[f2485,f372])).
% 0.18/0.44  fof(f2489,plain,(
% 0.18/0.44    spl0_322),
% 0.18/0.44    inference(contradiction_clause,[status(thm)],[f2488])).
% 0.18/0.44  fof(f2505,plain,(
% 0.18/0.44    spl0_325 <=> ~n0(X0,a)),
% 0.18/0.45    introduced(split_symbol_definition)).
% 0.18/0.45  fof(f2506,plain,(
% 0.18/0.45    ![X0]: (~n0(X0,a)|~spl0_325)),
% 0.18/0.45    inference(component_clause,[status(thm)],[f2505])).
% 0.18/0.45  fof(f2508,plain,(
% 0.18/0.45    spl0_326 <=> ~p0(X1,c)),
% 0.18/0.45    introduced(split_symbol_definition)).
% 0.18/0.45  fof(f2509,plain,(
% 0.18/0.45    ![X0]: (~p0(X0,c)|~spl0_326)),
% 0.18/0.45    inference(component_clause,[status(thm)],[f2508])).
% 0.18/0.45  fof(f2514,plain,(
% 0.18/0.45    $false|~spl0_326),
% 0.18/0.45    inference(resolution,[status(thm)],[f2509,f383])).
% 0.18/0.45  fof(f2515,plain,(
% 0.18/0.45    ~spl0_326),
% 0.18/0.45    inference(contradiction_clause,[status(thm)],[f2514])).
% 0.18/0.45  fof(f2516,plain,(
% 0.18/0.45    $false|~spl0_325),
% 0.18/0.45    inference(backward_subsumption_resolution,[status(thm)],[f406,f2506])).
% 0.18/0.45  fof(f2517,plain,(
% 0.18/0.45    ~spl0_325),
% 0.18/0.45    inference(contradiction_clause,[status(thm)],[f2516])).
% 0.18/0.45  fof(f2581,plain,(
% 0.18/0.45    ~k1(c)|~q0(d,d)|~spl0_33),
% 0.18/0.45    inference(resolution,[status(thm)],[f1042,f924])).
% 0.18/0.45  fof(f2582,plain,(
% 0.18/0.45    ~spl0_118|~spl0_40|~spl0_33),
% 0.18/0.45    inference(split_clause,[status(thm)],[f2581,f1346,f1065,f1041])).
% 0.18/0.45  fof(f2583,plain,(
% 0.18/0.45    $false),
% 0.18/0.45    inference(sat_refutation,[status(thm)],[f1047,f1998,f2101,f2105,f2107,f2109,f2185,f2187,f2250,f2255,f2284,f2290,f2345,f2353,f2489,f2515,f2517,f2582])).
% 0.18/0.45  % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.46  % Elapsed time: 0.124704 seconds
% 0.18/0.46  % CPU time: 0.795820 seconds
% 0.18/0.46  % Total memory used: 58.438 MB
% 0.18/0.46  % Net memory used: 57.295 MB
%------------------------------------------------------------------------------