TSTP Solution File: SYN141-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN141-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 12:46:05 EDT 2023

% Result   : Unsatisfiable 0.11s 0.34s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SYN141-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.30  % Computer : n020.cluster.edu
% 0.07/0.30  % Model    : x86_64 x86_64
% 0.07/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.30  % Memory   : 8042.1875MB
% 0.07/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.30  % CPULimit : 300
% 0.07/0.30  % WCLimit  : 300
% 0.07/0.30  % DateTime : Tue May 30 10:27:58 EDT 2023
% 0.07/0.30  % CPUTime  : 
% 0.07/0.30  % Drodi V3.5.1
% 0.11/0.34  % Refutation found
% 0.11/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.34  % SZS output start CNFRefutation for theBenchmark
% 0.11/0.34  fof(f13,axiom,(
% 0.11/0.34    r0(e) ),
% 0.11/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34  fof(f14,axiom,(
% 0.11/0.34    (![X]: (p0(b,X) ))),
% 0.11/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34  fof(f18,axiom,(
% 0.11/0.34    p0(c,b) ),
% 0.11/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34  fof(f27,axiom,(
% 0.11/0.34    m0(e,b,c) ),
% 0.11/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34  fof(f30,axiom,(
% 0.11/0.34    n0(e,e) ),
% 0.11/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34  fof(f34,axiom,(
% 0.11/0.34    n0(c,d) ),
% 0.11/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34  fof(f37,axiom,(
% 0.11/0.34    n0(b,a) ),
% 0.11/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34  fof(f41,axiom,(
% 0.11/0.34    (![C,D,E,F]: (( l1(C,D)| ~ p0(E,C)| ~ r0(F)| ~ m0(D,C,E) ) ))),
% 0.11/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34  fof(f123,axiom,(
% 0.11/0.34    (![B,C]: (( p1(B,B,B)| ~ p0(C,B) ) ))),
% 0.11/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34  fof(f138,axiom,(
% 0.11/0.34    (![C,D]: (( q1(C,C,C)| ~ n0(D,C) ) ))),
% 0.11/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34  fof(f207,axiom,(
% 0.11/0.34    (![D,E,F]: (( p2(D,D,D)| ~ q1(E,E,E)| ~ p1(D,F,D) ) ))),
% 0.11/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34  fof(f224,axiom,(
% 0.11/0.34    (![G,H]: (( q2(G,G,H)| ~ l1(H,G) ) ))),
% 0.11/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34  fof(f278,axiom,(
% 0.11/0.34    (![D,E,F]: (( n3(D)| ~ p2(E,F,D) ) ))),
% 0.11/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34  fof(f293,axiom,(
% 0.11/0.34    (![G,H,I]: (( q3(G,H)| ~ q2(I,G,H)| ~ n0(I,G) ) ))),
% 0.11/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34  fof(f312,axiom,(
% 0.11/0.34    ( k4(c)| ~ n0(c,d)| ~ q3(e,b)| ~ n3(e) ) ),
% 0.11/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34  fof(f342,axiom,(
% 0.11/0.34    (![C]: (( m5(C,C)| ~ k4(C) ) ))),
% 0.11/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34  fof(f369,negated_conjecture,(
% 0.11/0.34    (![X]: (~ m5(c,X) ))),
% 0.11/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34  fof(f382,plain,(
% 0.11/0.34    r0(e)),
% 0.11/0.34    inference(cnf_transformation,[status(esa)],[f13])).
% 0.11/0.34  fof(f383,plain,(
% 0.11/0.34    ![X0]: (p0(b,X0))),
% 0.11/0.34    inference(cnf_transformation,[status(esa)],[f14])).
% 0.11/0.34  fof(f387,plain,(
% 0.11/0.34    p0(c,b)),
% 0.11/0.34    inference(cnf_transformation,[status(esa)],[f18])).
% 0.11/0.34  fof(f396,plain,(
% 0.11/0.34    m0(e,b,c)),
% 0.11/0.34    inference(cnf_transformation,[status(esa)],[f27])).
% 0.11/0.34  fof(f399,plain,(
% 0.11/0.34    n0(e,e)),
% 0.11/0.34    inference(cnf_transformation,[status(esa)],[f30])).
% 0.11/0.34  fof(f403,plain,(
% 0.11/0.34    n0(c,d)),
% 0.11/0.34    inference(cnf_transformation,[status(esa)],[f34])).
% 0.11/0.34  fof(f406,plain,(
% 0.11/0.34    n0(b,a)),
% 0.11/0.34    inference(cnf_transformation,[status(esa)],[f37])).
% 0.11/0.34  fof(f412,plain,(
% 0.11/0.34    ![C,D,E]: (((l1(C,D)|~p0(E,C))|(![F]: ~r0(F)))|~m0(D,C,E))),
% 0.11/0.34    inference(miniscoping,[status(esa)],[f41])).
% 0.11/0.34  fof(f413,plain,(
% 0.11/0.34    ![X0,X1,X2,X3]: (l1(X0,X1)|~p0(X2,X0)|~r0(X3)|~m0(X1,X0,X2))),
% 0.11/0.34    inference(cnf_transformation,[status(esa)],[f412])).
% 0.11/0.34  fof(f544,plain,(
% 0.11/0.34    ![B]: (p1(B,B,B)|(![C]: ~p0(C,B)))),
% 0.11/0.34    inference(miniscoping,[status(esa)],[f123])).
% 0.11/0.34  fof(f545,plain,(
% 0.11/0.34    ![X0,X1]: (p1(X0,X0,X0)|~p0(X1,X0))),
% 0.11/0.34    inference(cnf_transformation,[status(esa)],[f544])).
% 0.11/0.34  fof(f567,plain,(
% 0.11/0.34    ![C]: (q1(C,C,C)|(![D]: ~n0(D,C)))),
% 0.11/0.34    inference(miniscoping,[status(esa)],[f138])).
% 0.11/0.34  fof(f568,plain,(
% 0.11/0.34    ![X0,X1]: (q1(X0,X0,X0)|~n0(X1,X0))),
% 0.11/0.34    inference(cnf_transformation,[status(esa)],[f567])).
% 0.11/0.34  fof(f673,plain,(
% 0.11/0.34    ![D]: ((p2(D,D,D)|(![E]: ~q1(E,E,E)))|(![F]: ~p1(D,F,D)))),
% 0.11/0.34    inference(miniscoping,[status(esa)],[f207])).
% 0.11/0.34  fof(f674,plain,(
% 0.11/0.34    ![X0,X1,X2]: (p2(X0,X0,X0)|~q1(X1,X1,X1)|~p1(X0,X2,X0))),
% 0.11/0.34    inference(cnf_transformation,[status(esa)],[f673])).
% 0.11/0.34  fof(f699,plain,(
% 0.11/0.34    ![X0,X1]: (q2(X0,X0,X1)|~l1(X1,X0))),
% 0.11/0.34    inference(cnf_transformation,[status(esa)],[f224])).
% 0.11/0.34  fof(f778,plain,(
% 0.11/0.34    ![D]: (n3(D)|(![E,F]: ~p2(E,F,D)))),
% 0.11/0.34    inference(miniscoping,[status(esa)],[f278])).
% 0.11/0.34  fof(f779,plain,(
% 0.11/0.34    ![X0,X1,X2]: (n3(X0)|~p2(X1,X2,X0))),
% 0.11/0.34    inference(cnf_transformation,[status(esa)],[f778])).
% 0.11/0.34  fof(f801,plain,(
% 0.11/0.34    ![G,I]: ((![H]: (q3(G,H)|~q2(I,G,H)))|~n0(I,G))),
% 0.11/0.34    inference(miniscoping,[status(esa)],[f293])).
% 0.11/0.34  fof(f802,plain,(
% 0.11/0.34    ![X0,X1,X2]: (q3(X0,X1)|~q2(X2,X0,X1)|~n0(X2,X0))),
% 0.11/0.34    inference(cnf_transformation,[status(esa)],[f801])).
% 0.11/0.34  fof(f832,plain,(
% 0.11/0.34    k4(c)|~n0(c,d)|~q3(e,b)|~n3(e)),
% 0.11/0.34    inference(cnf_transformation,[status(esa)],[f312])).
% 0.11/0.34  fof(f882,plain,(
% 0.11/0.34    ![X0]: (m5(X0,X0)|~k4(X0))),
% 0.11/0.34    inference(cnf_transformation,[status(esa)],[f342])).
% 0.11/0.34  fof(f924,plain,(
% 0.11/0.34    ![X0]: (~m5(c,X0))),
% 0.11/0.34    inference(cnf_transformation,[status(esa)],[f369])).
% 0.11/0.34  fof(f925,plain,(
% 0.11/0.34    spl0_0 <=> l1(X0,X1)|~p0(X2,X0)|~m0(X1,X0,X2)),
% 0.11/0.34    introduced(split_symbol_definition)).
% 0.11/0.34  fof(f926,plain,(
% 0.11/0.34    ![X0,X1,X2]: (l1(X0,X1)|~p0(X2,X0)|~m0(X1,X0,X2)|~spl0_0)),
% 0.11/0.34    inference(component_clause,[status(thm)],[f925])).
% 0.11/0.34  fof(f928,plain,(
% 0.11/0.34    spl0_1 <=> ~r0(X3)),
% 0.11/0.34    introduced(split_symbol_definition)).
% 0.11/0.34  fof(f929,plain,(
% 0.11/0.34    ![X0]: (~r0(X0)|~spl0_1)),
% 0.11/0.34    inference(component_clause,[status(thm)],[f928])).
% 0.11/0.34  fof(f931,plain,(
% 0.11/0.34    spl0_0|spl0_1),
% 0.11/0.34    inference(split_clause,[status(thm)],[f413,f925,f928])).
% 0.11/0.34  fof(f1464,plain,(
% 0.11/0.34    spl0_152 <=> p2(X0,X0,X0)),
% 0.11/0.34    introduced(split_symbol_definition)).
% 0.11/0.34  fof(f1465,plain,(
% 0.11/0.34    ![X0]: (p2(X0,X0,X0)|~spl0_152)),
% 0.11/0.34    inference(component_clause,[status(thm)],[f1464])).
% 0.11/0.34  fof(f1484,plain,(
% 0.11/0.34    spl0_158 <=> p2(X0,X0,X0)|~p1(X0,X2,X0)),
% 0.11/0.34    introduced(split_symbol_definition)).
% 0.11/0.34  fof(f1485,plain,(
% 0.11/0.34    ![X0,X1]: (p2(X0,X0,X0)|~p1(X0,X1,X0)|~spl0_158)),
% 0.11/0.34    inference(component_clause,[status(thm)],[f1484])).
% 0.11/0.34  fof(f1487,plain,(
% 0.11/0.34    spl0_159 <=> ~q1(X1,X1,X1)),
% 0.11/0.34    introduced(split_symbol_definition)).
% 0.11/0.34  fof(f1488,plain,(
% 0.11/0.34    ![X0]: (~q1(X0,X0,X0)|~spl0_159)),
% 0.11/0.34    inference(component_clause,[status(thm)],[f1487])).
% 0.11/0.34  fof(f1490,plain,(
% 0.11/0.34    spl0_158|spl0_159),
% 0.11/0.34    inference(split_clause,[status(thm)],[f674,f1484,f1487])).
% 0.11/0.34  fof(f1794,plain,(
% 0.11/0.34    spl0_246 <=> k4(c)),
% 0.11/0.34    introduced(split_symbol_definition)).
% 0.11/0.34  fof(f1795,plain,(
% 0.11/0.34    k4(c)|~spl0_246),
% 0.11/0.34    inference(component_clause,[status(thm)],[f1794])).
% 0.11/0.34  fof(f1797,plain,(
% 0.11/0.34    spl0_247 <=> n0(c,d)),
% 0.11/0.34    introduced(split_symbol_definition)).
% 0.11/0.34  fof(f1799,plain,(
% 0.11/0.34    ~n0(c,d)|spl0_247),
% 0.11/0.34    inference(component_clause,[status(thm)],[f1797])).
% 0.11/0.34  fof(f1800,plain,(
% 0.11/0.34    spl0_248 <=> q3(e,b)),
% 0.11/0.34    introduced(split_symbol_definition)).
% 0.11/0.34  fof(f1803,plain,(
% 0.11/0.34    spl0_249 <=> n3(e)),
% 0.11/0.34    introduced(split_symbol_definition)).
% 0.11/0.34  fof(f1805,plain,(
% 0.11/0.34    ~n3(e)|spl0_249),
% 0.11/0.34    inference(component_clause,[status(thm)],[f1803])).
% 0.11/0.34  fof(f1806,plain,(
% 0.11/0.34    spl0_246|~spl0_247|~spl0_248|~spl0_249),
% 0.11/0.34    inference(split_clause,[status(thm)],[f832,f1794,f1797,f1800,f1803])).
% 0.11/0.34  fof(f1994,plain,(
% 0.11/0.34    $false|~spl0_1),
% 0.11/0.34    inference(backward_subsumption_resolution,[status(thm)],[f382,f929])).
% 0.11/0.34  fof(f1995,plain,(
% 0.11/0.34    ~spl0_1),
% 0.11/0.34    inference(contradiction_clause,[status(thm)],[f1994])).
% 0.11/0.34  fof(f2084,plain,(
% 0.11/0.34    ![X0]: (n3(X0)|~spl0_152)),
% 0.11/0.34    inference(resolution,[status(thm)],[f1465,f779])).
% 0.11/0.34  fof(f2085,plain,(
% 0.11/0.34    $false|~spl0_152|spl0_249),
% 0.11/0.34    inference(backward_subsumption_resolution,[status(thm)],[f1805,f2084])).
% 0.11/0.34  fof(f2086,plain,(
% 0.11/0.34    ~spl0_152|spl0_249),
% 0.11/0.34    inference(contradiction_clause,[status(thm)],[f2085])).
% 0.11/0.34  fof(f2093,plain,(
% 0.11/0.34    $false|spl0_247),
% 0.11/0.34    inference(forward_subsumption_resolution,[status(thm)],[f1799,f403])).
% 0.11/0.34  fof(f2094,plain,(
% 0.11/0.34    spl0_247),
% 0.11/0.34    inference(contradiction_clause,[status(thm)],[f2093])).
% 0.11/0.34  fof(f2285,plain,(
% 0.11/0.34    ![X0]: (p1(X0,X0,X0))),
% 0.11/0.34    inference(resolution,[status(thm)],[f545,f383])).
% 0.11/0.34  fof(f2396,plain,(
% 0.11/0.34    ![X0]: (p2(X0,X0,X0)|~spl0_158)),
% 0.11/0.34    inference(resolution,[status(thm)],[f1485,f2285])).
% 0.11/0.34  fof(f2397,plain,(
% 0.11/0.34    spl0_152|~spl0_158),
% 0.11/0.34    inference(split_clause,[status(thm)],[f2396,f1464,f1484])).
% 0.11/0.34  fof(f2470,plain,(
% 0.11/0.34    spl0_339 <=> n0(e,e)),
% 0.11/0.34    introduced(split_symbol_definition)).
% 0.11/0.34  fof(f2472,plain,(
% 0.11/0.34    ~n0(e,e)|spl0_339),
% 0.11/0.34    inference(component_clause,[status(thm)],[f2470])).
% 0.11/0.34  fof(f2475,plain,(
% 0.11/0.34    $false|spl0_339),
% 0.11/0.34    inference(forward_subsumption_resolution,[status(thm)],[f2472,f399])).
% 0.11/0.34  fof(f2476,plain,(
% 0.11/0.34    spl0_339),
% 0.11/0.34    inference(contradiction_clause,[status(thm)],[f2475])).
% 0.11/0.34  fof(f2488,plain,(
% 0.11/0.34    q1(a,a,a)),
% 0.11/0.34    inference(resolution,[status(thm)],[f568,f406])).
% 0.11/0.34  fof(f2552,plain,(
% 0.11/0.34    $false|~spl0_159),
% 0.11/0.34    inference(backward_subsumption_resolution,[status(thm)],[f2488,f1488])).
% 0.11/0.34  fof(f2553,plain,(
% 0.11/0.34    ~spl0_159),
% 0.11/0.34    inference(contradiction_clause,[status(thm)],[f2552])).
% 0.11/0.34  fof(f2645,plain,(
% 0.11/0.34    spl0_351 <=> l1(b,e)),
% 0.11/0.34    introduced(split_symbol_definition)).
% 0.11/0.34  fof(f2646,plain,(
% 0.11/0.34    l1(b,e)|~spl0_351),
% 0.11/0.34    inference(component_clause,[status(thm)],[f2645])).
% 0.11/0.34  fof(f2648,plain,(
% 0.11/0.34    spl0_352 <=> p0(c,b)),
% 0.11/0.34    introduced(split_symbol_definition)).
% 0.11/0.34  fof(f2650,plain,(
% 0.11/0.34    ~p0(c,b)|spl0_352),
% 0.11/0.34    inference(component_clause,[status(thm)],[f2648])).
% 0.11/0.34  fof(f2651,plain,(
% 0.11/0.34    l1(b,e)|~p0(c,b)|~spl0_0),
% 0.11/0.34    inference(resolution,[status(thm)],[f926,f396])).
% 0.11/0.34  fof(f2652,plain,(
% 0.11/0.34    spl0_351|~spl0_352|~spl0_0),
% 0.11/0.34    inference(split_clause,[status(thm)],[f2651,f2645,f2648,f925])).
% 0.11/0.34  fof(f2691,plain,(
% 0.11/0.34    $false|spl0_352),
% 0.11/0.34    inference(forward_subsumption_resolution,[status(thm)],[f2650,f387])).
% 0.11/0.34  fof(f2692,plain,(
% 0.11/0.34    spl0_352),
% 0.11/0.34    inference(contradiction_clause,[status(thm)],[f2691])).
% 0.11/0.34  fof(f2737,plain,(
% 0.11/0.34    spl0_367 <=> ~p0(b,X1)),
% 0.11/0.34    introduced(split_symbol_definition)).
% 0.11/0.34  fof(f2738,plain,(
% 0.11/0.34    ![X0]: (~p0(b,X0)|~spl0_367)),
% 0.11/0.34    inference(component_clause,[status(thm)],[f2737])).
% 0.11/0.34  fof(f2818,plain,(
% 0.11/0.34    q2(e,e,b)|~spl0_351),
% 0.11/0.34    inference(resolution,[status(thm)],[f2646,f699])).
% 0.11/0.34  fof(f3560,plain,(
% 0.11/0.34    spl0_461 <=> m5(c,c)),
% 0.11/0.34    introduced(split_symbol_definition)).
% 0.11/0.34  fof(f3561,plain,(
% 0.11/0.34    m5(c,c)|~spl0_461),
% 0.11/0.34    inference(component_clause,[status(thm)],[f3560])).
% 0.11/0.34  fof(f3738,plain,(
% 0.11/0.34    $false|~spl0_461),
% 0.11/0.34    inference(forward_subsumption_resolution,[status(thm)],[f3561,f924])).
% 0.11/0.34  fof(f3739,plain,(
% 0.11/0.34    ~spl0_461),
% 0.11/0.34    inference(contradiction_clause,[status(thm)],[f3738])).
% 0.11/0.34  fof(f3740,plain,(
% 0.11/0.34    $false|~spl0_367),
% 0.11/0.34    inference(forward_subsumption_resolution,[status(thm)],[f2738,f383])).
% 0.11/0.34  fof(f3741,plain,(
% 0.11/0.34    ~spl0_367),
% 0.11/0.34    inference(contradiction_clause,[status(thm)],[f3740])).
% 0.11/0.34  fof(f3855,plain,(
% 0.11/0.34    q3(e,b)|~n0(e,e)|~spl0_351),
% 0.11/0.34    inference(resolution,[status(thm)],[f802,f2818])).
% 0.11/0.34  fof(f3856,plain,(
% 0.11/0.34    spl0_248|~spl0_339|~spl0_351),
% 0.11/0.34    inference(split_clause,[status(thm)],[f3855,f1800,f2470,f2645])).
% 0.11/0.34  fof(f4017,plain,(
% 0.11/0.34    m5(c,c)|~spl0_246),
% 0.11/0.34    inference(resolution,[status(thm)],[f1795,f882])).
% 0.11/0.34  fof(f4018,plain,(
% 0.11/0.34    spl0_461|~spl0_246),
% 0.11/0.34    inference(split_clause,[status(thm)],[f4017,f3560,f1794])).
% 0.11/0.34  fof(f4019,plain,(
% 0.11/0.34    $false),
% 0.11/0.34    inference(sat_refutation,[status(thm)],[f931,f1490,f1806,f1995,f2086,f2094,f2397,f2476,f2553,f2652,f2692,f3739,f3741,f3856,f4018])).
% 0.11/0.34  % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.35  % Elapsed time: 0.048126 seconds
% 0.11/0.35  % CPU time: 0.254994 seconds
% 0.11/0.35  % Memory used: 17.904 MB
%------------------------------------------------------------------------------