TSTP Solution File: SYN216-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN216-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.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 12:46:16 EDT 2023

% Result   : Unsatisfiable 0.20s 0.45s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN216-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue May 30 10:21:47 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.36  % Drodi V3.5.1
% 0.20/0.45  % Refutation found
% 0.20/0.45  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.45  % SZS output start CNFRefutation for theBenchmark
% 0.20/0.45  fof(f3,axiom,(
% 0.20/0.45    n0(d,e) ),
% 0.20/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45  fof(f7,axiom,(
% 0.20/0.45    n0(d,b) ),
% 0.20/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45  fof(f14,axiom,(
% 0.20/0.45    (![X]: (p0(b,X) ))),
% 0.20/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45  fof(f17,axiom,(
% 0.20/0.45    (![X]: (q0(X,d) ))),
% 0.20/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45  fof(f26,axiom,(
% 0.20/0.45    n0(d,c) ),
% 0.20/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45  fof(f30,axiom,(
% 0.20/0.45    n0(e,e) ),
% 0.20/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45  fof(f34,axiom,(
% 0.20/0.45    n0(c,d) ),
% 0.20/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45  fof(f37,axiom,(
% 0.20/0.45    n0(b,a) ),
% 0.20/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45  fof(f38,axiom,(
% 0.20/0.45    m0(b,a,a) ),
% 0.20/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45  fof(f39,axiom,(
% 0.20/0.45    (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.20/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45  fof(f40,axiom,(
% 0.20/0.45    (![G,H]: (( l1(G,G)| ~ n0(H,G) ) ))),
% 0.20/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45  fof(f163,axiom,(
% 0.20/0.45    (![I]: (( s1(I)| ~ p0(I,I) ) ))),
% 0.20/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45  fof(f164,axiom,(
% 0.20/0.45    (![F,G,H]: (( s1(F)| ~ q0(F,G)| ~ s1(H) ) ))),
% 0.20/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45  fof(f171,axiom,(
% 0.20/0.45    (![J,A,B,C]: (( l2(J,J)| ~ p0(A,A)| ~ s1(B)| ~ m0(C,B,J) ) ))),
% 0.20/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45  fof(f369,negated_conjecture,(
% 0.20/0.45    ~ l2(a,a) ),
% 0.20/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45  fof(f372,plain,(
% 0.20/0.45    n0(d,e)),
% 0.20/0.45    inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.45  fof(f376,plain,(
% 0.20/0.45    n0(d,b)),
% 0.20/0.45    inference(cnf_transformation,[status(esa)],[f7])).
% 0.20/0.45  fof(f383,plain,(
% 0.20/0.45    ![X0]: (p0(b,X0))),
% 0.20/0.45    inference(cnf_transformation,[status(esa)],[f14])).
% 0.20/0.45  fof(f386,plain,(
% 0.20/0.45    ![X0]: (q0(X0,d))),
% 0.20/0.45    inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.45  fof(f395,plain,(
% 0.20/0.45    n0(d,c)),
% 0.20/0.45    inference(cnf_transformation,[status(esa)],[f26])).
% 0.20/0.45  fof(f399,plain,(
% 0.20/0.45    n0(e,e)),
% 0.20/0.45    inference(cnf_transformation,[status(esa)],[f30])).
% 0.20/0.45  fof(f403,plain,(
% 0.20/0.45    n0(c,d)),
% 0.20/0.45    inference(cnf_transformation,[status(esa)],[f34])).
% 0.20/0.45  fof(f406,plain,(
% 0.20/0.45    n0(b,a)),
% 0.20/0.45    inference(cnf_transformation,[status(esa)],[f37])).
% 0.20/0.45  fof(f407,plain,(
% 0.20/0.45    m0(b,a,a)),
% 0.20/0.45    inference(cnf_transformation,[status(esa)],[f38])).
% 0.20/0.45  fof(f408,plain,(
% 0.20/0.45    ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.20/0.45    inference(miniscoping,[status(esa)],[f39])).
% 0.20/0.45  fof(f409,plain,(
% 0.20/0.45    ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.20/0.45    inference(cnf_transformation,[status(esa)],[f408])).
% 0.20/0.45  fof(f410,plain,(
% 0.20/0.45    ![G]: (l1(G,G)|(![H]: ~n0(H,G)))),
% 0.20/0.45    inference(miniscoping,[status(esa)],[f40])).
% 0.20/0.45  fof(f411,plain,(
% 0.20/0.45    ![X0,X1]: (l1(X0,X0)|~n0(X1,X0))),
% 0.20/0.45    inference(cnf_transformation,[status(esa)],[f410])).
% 0.20/0.45  fof(f607,plain,(
% 0.20/0.45    ![X0]: (s1(X0)|~p0(X0,X0))),
% 0.20/0.45    inference(cnf_transformation,[status(esa)],[f163])).
% 0.20/0.45  fof(f608,plain,(
% 0.20/0.45    (![F]: (s1(F)|(![G]: ~q0(F,G))))|(![H]: ~s1(H))),
% 0.20/0.45    inference(miniscoping,[status(esa)],[f164])).
% 0.20/0.45  fof(f609,plain,(
% 0.20/0.45    ![X0,X1,X2]: (s1(X0)|~q0(X0,X1)|~s1(X2))),
% 0.20/0.45    inference(cnf_transformation,[status(esa)],[f608])).
% 0.20/0.45  fof(f619,plain,(
% 0.20/0.45    ![J,B]: (((l2(J,J)|(![A]: ~p0(A,A)))|~s1(B))|(![C]: ~m0(C,B,J)))),
% 0.20/0.45    inference(miniscoping,[status(esa)],[f171])).
% 0.20/0.45  fof(f620,plain,(
% 0.20/0.45    ![X0,X1,X2,X3]: (l2(X0,X0)|~p0(X1,X1)|~s1(X2)|~m0(X3,X2,X0))),
% 0.20/0.45    inference(cnf_transformation,[status(esa)],[f619])).
% 0.20/0.45  fof(f924,plain,(
% 0.20/0.45    ~l2(a,a)),
% 0.20/0.45    inference(cnf_transformation,[status(esa)],[f369])).
% 0.20/0.45  fof(f956,plain,(
% 0.20/0.45    spl0_9 <=> l1(c,c)),
% 0.20/0.45    introduced(split_symbol_definition)).
% 0.20/0.45  fof(f958,plain,(
% 0.20/0.45    ~l1(c,c)|spl0_9),
% 0.20/0.45    inference(component_clause,[status(thm)],[f956])).
% 0.20/0.45  fof(f1044,plain,(
% 0.20/0.45    spl0_34 <=> k1(a)),
% 0.20/0.45    introduced(split_symbol_definition)).
% 0.20/0.45  fof(f1046,plain,(
% 0.20/0.45    ~k1(a)|spl0_34),
% 0.20/0.45    inference(component_clause,[status(thm)],[f1044])).
% 0.20/0.45  fof(f1258,plain,(
% 0.20/0.45    spl0_94 <=> ~p0(X2,X2)),
% 0.20/0.45    introduced(split_symbol_definition)).
% 0.20/0.45  fof(f1259,plain,(
% 0.20/0.45    ![X0]: (~p0(X0,X0)|~spl0_94)),
% 0.20/0.45    inference(component_clause,[status(thm)],[f1258])).
% 0.20/0.45  fof(f1304,plain,(
% 0.20/0.45    spl0_106 <=> s1(X0)|~q0(X0,X1)),
% 0.20/0.45    introduced(split_symbol_definition)).
% 0.20/0.45  fof(f1305,plain,(
% 0.20/0.45    ![X0,X1]: (s1(X0)|~q0(X0,X1)|~spl0_106)),
% 0.20/0.45    inference(component_clause,[status(thm)],[f1304])).
% 0.20/0.45  fof(f1307,plain,(
% 0.20/0.45    spl0_107 <=> ~s1(X2)),
% 0.20/0.45    introduced(split_symbol_definition)).
% 0.20/0.45  fof(f1308,plain,(
% 0.20/0.45    ![X0]: (~s1(X0)|~spl0_107)),
% 0.20/0.45    inference(component_clause,[status(thm)],[f1307])).
% 0.20/0.45  fof(f1310,plain,(
% 0.20/0.45    spl0_106|spl0_107),
% 0.20/0.45    inference(split_clause,[status(thm)],[f609,f1304,f1307])).
% 0.20/0.45  fof(f1314,plain,(
% 0.20/0.45    spl0_109 <=> l1(e,e)),
% 0.20/0.45    introduced(split_symbol_definition)).
% 0.20/0.45  fof(f1316,plain,(
% 0.20/0.45    ~l1(e,e)|spl0_109),
% 0.20/0.45    inference(component_clause,[status(thm)],[f1314])).
% 0.20/0.45  fof(f1322,plain,(
% 0.20/0.45    spl0_111 <=> l2(X0,X0)|~s1(X2)|~m0(X3,X2,X0)),
% 0.20/0.45    introduced(split_symbol_definition)).
% 0.20/0.45  fof(f1323,plain,(
% 0.20/0.45    ![X0,X1,X2]: (l2(X0,X0)|~s1(X1)|~m0(X2,X1,X0)|~spl0_111)),
% 0.20/0.45    inference(component_clause,[status(thm)],[f1322])).
% 0.20/0.45  fof(f1325,plain,(
% 0.20/0.45    spl0_111|spl0_94),
% 0.20/0.45    inference(split_clause,[status(thm)],[f620,f1322,f1258])).
% 0.20/0.45  fof(f1336,plain,(
% 0.20/0.45    spl0_115 <=> k1(b)),
% 0.20/0.45    introduced(split_symbol_definition)).
% 0.20/0.45  fof(f1338,plain,(
% 0.20/0.45    ~k1(b)|spl0_115),
% 0.20/0.45    inference(component_clause,[status(thm)],[f1336])).
% 0.20/0.45  fof(f1346,plain,(
% 0.20/0.45    spl0_118 <=> k1(c)),
% 0.20/0.45    introduced(split_symbol_definition)).
% 0.20/0.45  fof(f1348,plain,(
% 0.20/0.45    ~k1(c)|spl0_118),
% 0.20/0.45    inference(component_clause,[status(thm)],[f1346])).
% 0.20/0.45  fof(f1421,plain,(
% 0.20/0.45    spl0_140 <=> k1(d)),
% 0.20/0.45    introduced(split_symbol_definition)).
% 0.20/0.45  fof(f1423,plain,(
% 0.20/0.45    ~k1(d)|spl0_140),
% 0.20/0.45    inference(component_clause,[status(thm)],[f1421])).
% 0.20/0.45  fof(f1515,plain,(
% 0.20/0.45    spl0_167 <=> k1(e)),
% 0.20/0.45    introduced(split_symbol_definition)).
% 0.20/0.45  fof(f1517,plain,(
% 0.20/0.45    ~k1(e)|spl0_167),
% 0.20/0.45    inference(component_clause,[status(thm)],[f1515])).
% 0.20/0.45  fof(f1543,plain,(
% 0.20/0.45    spl0_175 <=> s1(b)),
% 0.20/0.45    introduced(split_symbol_definition)).
% 0.20/0.45  fof(f1545,plain,(
% 0.20/0.45    ~s1(b)|spl0_175),
% 0.20/0.45    inference(component_clause,[status(thm)],[f1543])).
% 0.20/0.45  fof(f2088,plain,(
% 0.20/0.45    $false|~spl0_94),
% 0.20/0.45    inference(resolution,[status(thm)],[f1259,f383])).
% 0.20/0.45  fof(f2089,plain,(
% 0.20/0.45    ~spl0_94),
% 0.20/0.45    inference(contradiction_clause,[status(thm)],[f2088])).
% 0.20/0.45  fof(f2090,plain,(
% 0.20/0.45    ![X0]: (~p0(X0,X0)|~spl0_107)),
% 0.20/0.45    inference(forward_subsumption_resolution,[status(thm)],[f607,f1308])).
% 0.20/0.45  fof(f2091,plain,(
% 0.20/0.45    $false|~spl0_107),
% 0.20/0.45    inference(resolution,[status(thm)],[f2090,f383])).
% 0.20/0.45  fof(f2092,plain,(
% 0.20/0.45    ~spl0_107),
% 0.20/0.45    inference(contradiction_clause,[status(thm)],[f2091])).
% 0.20/0.45  fof(f2120,plain,(
% 0.20/0.45    s1(b)),
% 0.20/0.45    inference(resolution,[status(thm)],[f607,f383])).
% 0.20/0.45  fof(f2121,plain,(
% 0.20/0.45    $false|spl0_175),
% 0.20/0.45    inference(forward_subsumption_resolution,[status(thm)],[f2120,f1545])).
% 0.20/0.45  fof(f2122,plain,(
% 0.20/0.45    spl0_175),
% 0.20/0.45    inference(contradiction_clause,[status(thm)],[f2121])).
% 0.20/0.45  fof(f2148,plain,(
% 0.20/0.45    l1(e,e)),
% 0.20/0.45    inference(resolution,[status(thm)],[f399,f411])).
% 0.20/0.45  fof(f2149,plain,(
% 0.20/0.45    $false|spl0_109),
% 0.20/0.45    inference(forward_subsumption_resolution,[status(thm)],[f2148,f1316])).
% 0.20/0.45  fof(f2150,plain,(
% 0.20/0.45    spl0_109),
% 0.20/0.45    inference(contradiction_clause,[status(thm)],[f2149])).
% 0.20/0.45  fof(f2153,plain,(
% 0.20/0.45    l1(c,c)),
% 0.20/0.45    inference(resolution,[status(thm)],[f395,f411])).
% 0.20/0.45  fof(f2154,plain,(
% 0.20/0.45    $false|spl0_9),
% 0.20/0.45    inference(forward_subsumption_resolution,[status(thm)],[f2153,f958])).
% 0.20/0.45  fof(f2155,plain,(
% 0.20/0.45    spl0_9),
% 0.20/0.45    inference(contradiction_clause,[status(thm)],[f2154])).
% 0.20/0.45  fof(f2169,plain,(
% 0.20/0.45    ![X0]: (s1(X0)|~spl0_106)),
% 0.20/0.45    inference(resolution,[status(thm)],[f1305,f386])).
% 0.20/0.45  fof(f2176,plain,(
% 0.20/0.45    ![X0,X1,X2]: (l2(X0,X0)|~m0(X1,X2,X0)|~spl0_106|~spl0_111)),
% 0.20/0.45    inference(backward_subsumption_resolution,[status(thm)],[f1323,f2169])).
% 0.20/0.45  fof(f2194,plain,(
% 0.20/0.45    k1(b)),
% 0.20/0.45    inference(resolution,[status(thm)],[f409,f376])).
% 0.20/0.45  fof(f2195,plain,(
% 0.20/0.45    $false|spl0_115),
% 0.20/0.45    inference(forward_subsumption_resolution,[status(thm)],[f2194,f1338])).
% 0.20/0.45  fof(f2196,plain,(
% 0.20/0.45    spl0_115),
% 0.20/0.45    inference(contradiction_clause,[status(thm)],[f2195])).
% 0.20/0.45  fof(f2197,plain,(
% 0.20/0.45    k1(c)),
% 0.20/0.45    inference(resolution,[status(thm)],[f409,f395])).
% 0.20/0.45  fof(f2198,plain,(
% 0.20/0.45    $false|spl0_118),
% 0.20/0.45    inference(forward_subsumption_resolution,[status(thm)],[f2197,f1348])).
% 0.20/0.45  fof(f2199,plain,(
% 0.20/0.45    spl0_118),
% 0.20/0.45    inference(contradiction_clause,[status(thm)],[f2198])).
% 0.20/0.45  fof(f2200,plain,(
% 0.20/0.45    k1(e)),
% 0.20/0.45    inference(resolution,[status(thm)],[f409,f372])).
% 0.20/0.47  fof(f2201,plain,(
% 0.20/0.47    $false|spl0_167),
% 0.20/0.47    inference(forward_subsumption_resolution,[status(thm)],[f2200,f1517])).
% 0.20/0.47  fof(f2202,plain,(
% 0.20/0.47    spl0_167),
% 0.20/0.47    inference(contradiction_clause,[status(thm)],[f2201])).
% 0.20/0.47  fof(f2205,plain,(
% 0.20/0.47    k1(d)),
% 0.20/0.47    inference(resolution,[status(thm)],[f409,f403])).
% 0.20/0.47  fof(f2206,plain,(
% 0.20/0.47    $false|spl0_140),
% 0.20/0.47    inference(forward_subsumption_resolution,[status(thm)],[f2205,f1423])).
% 0.20/0.47  fof(f2207,plain,(
% 0.20/0.47    spl0_140),
% 0.20/0.47    inference(contradiction_clause,[status(thm)],[f2206])).
% 0.20/0.47  fof(f2209,plain,(
% 0.20/0.47    k1(a)),
% 0.20/0.47    inference(resolution,[status(thm)],[f409,f406])).
% 0.20/0.47  fof(f2210,plain,(
% 0.20/0.47    $false|spl0_34),
% 0.20/0.47    inference(forward_subsumption_resolution,[status(thm)],[f2209,f1046])).
% 0.20/0.47  fof(f2211,plain,(
% 0.20/0.47    spl0_34),
% 0.20/0.47    inference(contradiction_clause,[status(thm)],[f2210])).
% 0.20/0.47  fof(f2309,plain,(
% 0.20/0.47    l2(a,a)|~spl0_106|~spl0_111),
% 0.20/0.47    inference(resolution,[status(thm)],[f2176,f407])).
% 0.20/0.47  fof(f2310,plain,(
% 0.20/0.47    $false|~spl0_106|~spl0_111),
% 0.20/0.47    inference(forward_subsumption_resolution,[status(thm)],[f2309,f924])).
% 0.20/0.47  fof(f2311,plain,(
% 0.20/0.47    ~spl0_106|~spl0_111),
% 0.20/0.47    inference(contradiction_clause,[status(thm)],[f2310])).
% 0.20/0.47  fof(f2312,plain,(
% 0.20/0.47    $false),
% 0.20/0.47    inference(sat_refutation,[status(thm)],[f1310,f1325,f2089,f2092,f2122,f2150,f2155,f2196,f2199,f2202,f2207,f2211,f2311])).
% 0.20/0.47  % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.47  % Elapsed time: 0.127173 seconds
% 0.20/0.47  % CPU time: 0.520651 seconds
% 0.20/0.47  % Memory used: 39.215 MB
%------------------------------------------------------------------------------