TSTP Solution File: SYN108-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN108-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 12:46:00 EDT 2023

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN108-1 : TPTP v8.1.2. Released v1.1.0.
% 0.04/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 10:17:37 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  % Drodi V3.5.1
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37  fof(f1,axiom,(
% 0.13/0.37    s0(d) ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f3,axiom,(
% 0.13/0.37    n0(d,e) ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f7,axiom,(
% 0.13/0.37    n0(d,b) ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f9,axiom,(
% 0.13/0.37    r0(b) ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f14,axiom,(
% 0.13/0.37    (![X]: (p0(b,X) ))),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f17,axiom,(
% 0.13/0.37    (![X]: (q0(X,d) ))),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f19,axiom,(
% 0.13/0.37    (![X,Y]: (m0(X,d,Y) ))),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f26,axiom,(
% 0.13/0.37    n0(d,c) ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f34,axiom,(
% 0.13/0.37    n0(c,d) ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f39,axiom,(
% 0.13/0.37    (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f40,axiom,(
% 0.13/0.37    (![G,H]: (( l1(G,G)| ~ n0(H,G) ) ))),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f43,axiom,(
% 0.13/0.37    (![B,C]: (( m1(B,C,B)| ~ m0(C,C,B) ) ))),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f95,axiom,(
% 0.13/0.37    (![D]: (( n1(D,D,D)| ~ r0(D) ) ))),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f135,axiom,(
% 0.13/0.37    (![A]: (( q1(A,A,A)| ~ s0(A) ) ))),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f163,axiom,(
% 0.13/0.37    (![I]: (( s1(I)| ~ p0(I,I) ) ))),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f165,axiom,(
% 0.13/0.37    (![C,D,E,F]: (( k2(C,D)| ~ m1(E,D,C)| ~ k1(F)| ~ k2(F,D) ) ))),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f167,axiom,(
% 0.13/0.37    (![J,A]: (( k2(J,J)| ~ q1(A,J,J) ) ))),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f369,negated_conjecture,(
% 0.13/0.37    (![X]: (~ k2(a,X) ))),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f370,plain,(
% 0.13/0.37    s0(d)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.37  fof(f372,plain,(
% 0.13/0.37    n0(d,e)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.37  fof(f376,plain,(
% 0.13/0.37    n0(d,b)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.37  fof(f378,plain,(
% 0.13/0.37    r0(b)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f9])).
% 0.13/0.37  fof(f383,plain,(
% 0.13/0.37    ![X0]: (p0(b,X0))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.37  fof(f386,plain,(
% 0.13/0.37    ![X0]: (q0(X0,d))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.37  fof(f388,plain,(
% 0.13/0.37    ![X0,X1]: (m0(X0,d,X1))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f19])).
% 0.13/0.37  fof(f395,plain,(
% 0.13/0.37    n0(d,c)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f26])).
% 0.13/0.37  fof(f403,plain,(
% 0.13/0.37    n0(c,d)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f34])).
% 0.13/0.37  fof(f408,plain,(
% 0.13/0.37    ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.13/0.37    inference(miniscoping,[status(esa)],[f39])).
% 0.13/0.37  fof(f409,plain,(
% 0.13/0.37    ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f408])).
% 0.13/0.37  fof(f410,plain,(
% 0.13/0.37    ![G]: (l1(G,G)|(![H]: ~n0(H,G)))),
% 0.13/0.37    inference(miniscoping,[status(esa)],[f40])).
% 0.13/0.37  fof(f411,plain,(
% 0.13/0.37    ![X0,X1]: (l1(X0,X0)|~n0(X1,X0))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f410])).
% 0.13/0.37  fof(f416,plain,(
% 0.13/0.37    ![X0,X1]: (m1(X0,X1,X0)|~m0(X1,X1,X0))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f43])).
% 0.13/0.37  fof(f499,plain,(
% 0.13/0.37    ![X0]: (n1(X0,X0,X0)|~r0(X0))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f95])).
% 0.13/0.37  fof(f562,plain,(
% 0.13/0.37    ![X0]: (q1(X0,X0,X0)|~s0(X0))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f135])).
% 0.13/0.37  fof(f607,plain,(
% 0.13/0.37    ![X0]: (s1(X0)|~p0(X0,X0))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f163])).
% 0.13/0.37  fof(f610,plain,(
% 0.13/0.37    ![D,F]: (((![C]: (k2(C,D)|(![E]: ~m1(E,D,C))))|~k1(F))|~k2(F,D))),
% 0.13/0.37    inference(miniscoping,[status(esa)],[f165])).
% 0.13/0.37  fof(f611,plain,(
% 0.13/0.37    ![X0,X1,X2,X3]: (k2(X0,X1)|~m1(X2,X1,X0)|~k1(X3)|~k2(X3,X1))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f610])).
% 0.13/0.37  fof(f613,plain,(
% 0.13/0.37    ![J]: (k2(J,J)|(![A]: ~q1(A,J,J)))),
% 0.13/0.37    inference(miniscoping,[status(esa)],[f167])).
% 0.13/0.37  fof(f614,plain,(
% 0.19/0.37    ![X0,X1]: (k2(X0,X0)|~q1(X1,X0,X0))),
% 0.19/0.37    inference(cnf_transformation,[status(esa)],[f613])).
% 0.19/0.37  fof(f924,plain,(
% 0.19/0.37    ![X0]: (~k2(a,X0))),
% 0.19/0.37    inference(cnf_transformation,[status(esa)],[f369])).
% 0.19/0.37  fof(f956,plain,(
% 0.19/0.37    spl0_9 <=> l1(c,c)),
% 0.19/0.37    introduced(split_symbol_definition)).
% 0.19/0.37  fof(f958,plain,(
% 0.19/0.37    ~l1(c,c)|spl0_9),
% 0.19/0.37    inference(component_clause,[status(thm)],[f956])).
% 0.19/0.37  fof(f1065,plain,(
% 0.19/0.37    spl0_40 <=> q0(d,d)),
% 0.19/0.37    introduced(split_symbol_definition)).
% 0.19/0.37  fof(f1067,plain,(
% 0.19/0.37    ~q0(d,d)|spl0_40),
% 0.19/0.37    inference(component_clause,[status(thm)],[f1065])).
% 0.19/0.37  fof(f1336,plain,(
% 0.19/0.37    spl0_115 <=> k1(b)),
% 0.19/0.37    introduced(split_symbol_definition)).
% 0.19/0.37  fof(f1338,plain,(
% 0.19/0.37    ~k1(b)|spl0_115),
% 0.19/0.37    inference(component_clause,[status(thm)],[f1336])).
% 0.19/0.37  fof(f1421,plain,(
% 0.19/0.37    spl0_140 <=> k1(d)),
% 0.19/0.37    introduced(split_symbol_definition)).
% 0.19/0.37  fof(f1423,plain,(
% 0.19/0.37    ~k1(d)|spl0_140),
% 0.19/0.37    inference(component_clause,[status(thm)],[f1421])).
% 0.19/0.37  fof(f1515,plain,(
% 0.19/0.37    spl0_167 <=> k1(e)),
% 0.19/0.37    introduced(split_symbol_definition)).
% 0.19/0.37  fof(f1517,plain,(
% 0.19/0.37    ~k1(e)|spl0_167),
% 0.19/0.37    inference(component_clause,[status(thm)],[f1515])).
% 0.19/0.37  fof(f1543,plain,(
% 0.19/0.37    spl0_175 <=> s1(b)),
% 0.19/0.37    introduced(split_symbol_definition)).
% 0.19/0.37  fof(f1545,plain,(
% 0.19/0.37    ~s1(b)|spl0_175),
% 0.19/0.37    inference(component_clause,[status(thm)],[f1543])).
% 0.19/0.37  fof(f1797,plain,(
% 0.19/0.37    spl0_247 <=> n0(c,d)),
% 0.19/0.37    introduced(split_symbol_definition)).
% 0.19/0.37  fof(f1799,plain,(
% 0.19/0.37    ~n0(c,d)|spl0_247),
% 0.19/0.37    inference(component_clause,[status(thm)],[f1797])).
% 0.19/0.37  fof(f1907,plain,(
% 0.19/0.37    spl0_279 <=> n1(b,b,b)),
% 0.19/0.37    introduced(split_symbol_definition)).
% 0.19/0.37  fof(f1909,plain,(
% 0.19/0.37    ~n1(b,b,b)|spl0_279),
% 0.19/0.37    inference(component_clause,[status(thm)],[f1907])).
% 0.19/0.37  fof(f2010,plain,(
% 0.19/0.37    k1(e)),
% 0.19/0.37    inference(resolution,[status(thm)],[f409,f372])).
% 0.19/0.37  fof(f2011,plain,(
% 0.19/0.37    k1(b)),
% 0.19/0.37    inference(resolution,[status(thm)],[f409,f376])).
% 0.19/0.37  fof(f2016,plain,(
% 0.19/0.37    k1(d)),
% 0.19/0.37    inference(resolution,[status(thm)],[f409,f403])).
% 0.19/0.37  fof(f2046,plain,(
% 0.19/0.37    $false|spl0_140),
% 0.19/0.37    inference(forward_subsumption_resolution,[status(thm)],[f2016,f1423])).
% 0.19/0.37  fof(f2047,plain,(
% 0.19/0.37    spl0_140),
% 0.19/0.37    inference(contradiction_clause,[status(thm)],[f2046])).
% 0.19/0.37  fof(f2054,plain,(
% 0.19/0.37    l1(c,c)),
% 0.19/0.37    inference(resolution,[status(thm)],[f411,f395])).
% 0.19/0.37  fof(f2060,plain,(
% 0.19/0.37    s1(b)),
% 0.19/0.37    inference(resolution,[status(thm)],[f607,f383])).
% 0.19/0.37  fof(f2063,plain,(
% 0.19/0.37    ![X0]: (m1(X0,d,X0))),
% 0.19/0.37    inference(resolution,[status(thm)],[f416,f388])).
% 0.19/0.37  fof(f2068,plain,(
% 0.19/0.37    spl0_303 <=> k2(X0,d)),
% 0.19/0.37    introduced(split_symbol_definition)).
% 0.19/0.37  fof(f2069,plain,(
% 0.19/0.37    ![X0]: (k2(X0,d)|~spl0_303)),
% 0.19/0.37    inference(component_clause,[status(thm)],[f2068])).
% 0.19/0.37  fof(f2071,plain,(
% 0.19/0.37    spl0_304 <=> ~k1(X1)|~k2(X1,d)),
% 0.19/0.37    introduced(split_symbol_definition)).
% 0.19/0.37  fof(f2072,plain,(
% 0.19/0.37    ![X0]: (~k1(X0)|~k2(X0,d)|~spl0_304)),
% 0.19/0.37    inference(component_clause,[status(thm)],[f2071])).
% 0.19/0.37  fof(f2074,plain,(
% 0.19/0.37    ![X0,X1]: (k2(X0,d)|~k1(X1)|~k2(X1,d))),
% 0.19/0.37    inference(resolution,[status(thm)],[f2063,f611])).
% 0.19/0.37  fof(f2075,plain,(
% 0.19/0.37    spl0_303|spl0_304),
% 0.19/0.37    inference(split_clause,[status(thm)],[f2074,f2068,f2071])).
% 0.19/0.37  fof(f2076,plain,(
% 0.19/0.37    n1(b,b,b)),
% 0.19/0.37    inference(resolution,[status(thm)],[f499,f378])).
% 0.19/0.37  fof(f2080,plain,(
% 0.19/0.37    q1(d,d,d)),
% 0.19/0.37    inference(resolution,[status(thm)],[f562,f370])).
% 0.19/0.37  fof(f2092,plain,(
% 0.19/0.37    $false|~spl0_303),
% 0.19/0.37    inference(resolution,[status(thm)],[f2069,f924])).
% 0.19/0.37  fof(f2093,plain,(
% 0.19/0.37    ~spl0_303),
% 0.19/0.37    inference(contradiction_clause,[status(thm)],[f2092])).
% 0.19/0.37  fof(f2104,plain,(
% 0.19/0.37    $false|spl0_167),
% 0.19/0.37    inference(forward_subsumption_resolution,[status(thm)],[f1517,f2010])).
% 0.19/0.37  fof(f2105,plain,(
% 0.19/0.37    spl0_167),
% 0.19/0.37    inference(contradiction_clause,[status(thm)],[f2104])).
% 0.19/0.37  fof(f2106,plain,(
% 0.19/0.37    $false|spl0_115),
% 0.19/0.37    inference(forward_subsumption_resolution,[status(thm)],[f1338,f2011])).
% 0.19/0.37  fof(f2107,plain,(
% 0.19/0.37    spl0_115),
% 0.19/0.37    inference(contradiction_clause,[status(thm)],[f2106])).
% 0.19/0.37  fof(f2108,plain,(
% 0.19/0.37    $false|spl0_175),
% 0.19/0.37    inference(forward_subsumption_resolution,[status(thm)],[f1545,f2060])).
% 0.19/0.37  fof(f2109,plain,(
% 0.19/0.37    spl0_175),
% 0.19/0.37    inference(contradiction_clause,[status(thm)],[f2108])).
% 0.19/0.37  fof(f2113,plain,(
% 0.19/0.37    $false|spl0_40),
% 0.19/0.37    inference(forward_subsumption_resolution,[status(thm)],[f1067,f386])).
% 0.19/0.37  fof(f2114,plain,(
% 0.19/0.37    spl0_40),
% 0.19/0.37    inference(contradiction_clause,[status(thm)],[f2113])).
% 0.19/0.37  fof(f2115,plain,(
% 0.19/0.37    $false|spl0_9),
% 0.19/0.37    inference(forward_subsumption_resolution,[status(thm)],[f958,f2054])).
% 0.19/0.37  fof(f2116,plain,(
% 0.19/0.37    spl0_9),
% 0.19/0.37    inference(contradiction_clause,[status(thm)],[f2115])).
% 0.19/0.37  fof(f2117,plain,(
% 0.19/0.37    $false|spl0_247),
% 0.19/0.37    inference(forward_subsumption_resolution,[status(thm)],[f1799,f403])).
% 0.19/0.37  fof(f2118,plain,(
% 0.19/0.37    spl0_247),
% 0.19/0.37    inference(contradiction_clause,[status(thm)],[f2117])).
% 0.19/0.37  fof(f2133,plain,(
% 0.19/0.37    $false|spl0_279),
% 0.19/0.37    inference(forward_subsumption_resolution,[status(thm)],[f2076,f1909])).
% 0.19/0.37  fof(f2134,plain,(
% 0.19/0.37    spl0_279),
% 0.19/0.37    inference(contradiction_clause,[status(thm)],[f2133])).
% 0.19/0.37  fof(f2154,plain,(
% 0.19/0.37    k2(d,d)),
% 0.19/0.37    inference(resolution,[status(thm)],[f2080,f614])).
% 0.19/0.37  fof(f2155,plain,(
% 0.19/0.37    ~k1(d)|~spl0_304),
% 0.19/0.37    inference(resolution,[status(thm)],[f2154,f2072])).
% 0.19/0.37  fof(f2156,plain,(
% 0.19/0.37    ~spl0_140|~spl0_304),
% 0.19/0.37    inference(split_clause,[status(thm)],[f2155,f1421,f2071])).
% 0.19/0.37  fof(f2160,plain,(
% 0.19/0.37    $false),
% 0.19/0.37    inference(sat_refutation,[status(thm)],[f2047,f2075,f2093,f2105,f2107,f2109,f2114,f2116,f2118,f2134,f2156])).
% 0.19/0.37  % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.39  % Elapsed time: 0.040565 seconds
% 0.19/0.39  % CPU time: 0.102860 seconds
% 0.19/0.39  % Memory used: 17.933 MB
%------------------------------------------------------------------------------