TSTP Solution File: SYN117-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN117-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n024.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 20:51:22 EDT 2024

% Result   : Unsatisfiable 0.18s 0.37s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN117-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n024.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 22:02:21 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Drodi V3.6.0
% 0.18/0.37  % Refutation found
% 0.18/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.37  % SZS output start CNFRefutation for theBenchmark
% 0.18/0.37  fof(f9,axiom,(
% 0.18/0.37    r0(b) ),
% 0.18/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.37  fof(f26,axiom,(
% 0.18/0.37    n0(d,c) ),
% 0.18/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.37  fof(f30,axiom,(
% 0.18/0.37    n0(e,e) ),
% 0.18/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.37  fof(f34,axiom,(
% 0.18/0.37    n0(c,d) ),
% 0.18/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.37  fof(f40,axiom,(
% 0.18/0.37    (![G,H]: (( l1(G,G)| ~ n0(H,G) ) ))),
% 0.18/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.37  fof(f158,axiom,(
% 0.18/0.37    ( q1(b,b,b)| ~ r0(b) ) ),
% 0.18/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.37  fof(f168,axiom,(
% 0.18/0.37    ( k2(e,e)| ~ l1(e,e) ) ),
% 0.18/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.37  fof(f192,axiom,(
% 0.18/0.37    (![A]: (( p2(A,A,A)| ~ q1(A,A,A) ) ))),
% 0.18/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.37  fof(f203,axiom,(
% 0.18/0.37    (![I,J,A]: (( p2(I,I,I)| ~ q1(J,A,J)| ~ p2(J,J,A) ) ))),
% 0.18/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.37  fof(f224,axiom,(
% 0.18/0.37    (![G,H]: (( q2(G,G,H)| ~ l1(H,G) ) ))),
% 0.18/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.37  fof(f279,axiom,(
% 0.18/0.37    (![C,D,E,F]: (( p3(C,D,E)| ~ q2(F,d,C)| ~ k2(D,E) ) ))),
% 0.18/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.37  fof(f305,axiom,(
% 0.18/0.37    (![B,C,D]: (( r3(B,C,B)| ~ p2(B,D,C) ) ))),
% 0.18/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.37  fof(f337,axiom,(
% 0.18/0.37    (![A,B,C,D]: (( s4(A)| ~ p3(B,C,D)| ~ l1(A,C) ) ))),
% 0.18/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.37  fof(f338,axiom,(
% 0.18/0.37    (![E,F,G]: (( k5(E)| ~ s4(F)| ~ r3(G,E,E) ) ))),
% 0.18/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.37  fof(f369,negated_conjecture,(
% 0.18/0.37    ~ k5(e) ),
% 0.18/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.37  fof(f378,plain,(
% 0.18/0.37    r0(b)),
% 0.18/0.37    inference(cnf_transformation,[status(esa)],[f9])).
% 0.18/0.37  fof(f395,plain,(
% 0.18/0.37    n0(d,c)),
% 0.18/0.37    inference(cnf_transformation,[status(esa)],[f26])).
% 0.18/0.37  fof(f399,plain,(
% 0.18/0.37    n0(e,e)),
% 0.18/0.37    inference(cnf_transformation,[status(esa)],[f30])).
% 0.18/0.37  fof(f403,plain,(
% 0.18/0.37    n0(c,d)),
% 0.18/0.37    inference(cnf_transformation,[status(esa)],[f34])).
% 0.18/0.37  fof(f410,plain,(
% 0.18/0.37    ![G]: (l1(G,G)|(![H]: ~n0(H,G)))),
% 0.18/0.37    inference(miniscoping,[status(esa)],[f40])).
% 0.18/0.37  fof(f411,plain,(
% 0.18/0.37    ![X0,X1]: (l1(X0,X0)|~n0(X1,X0))),
% 0.18/0.37    inference(cnf_transformation,[status(esa)],[f410])).
% 0.18/0.37  fof(f599,plain,(
% 0.18/0.37    q1(b,b,b)|~r0(b)),
% 0.18/0.37    inference(cnf_transformation,[status(esa)],[f158])).
% 0.18/0.37  fof(f615,plain,(
% 0.18/0.37    k2(e,e)|~l1(e,e)),
% 0.18/0.37    inference(cnf_transformation,[status(esa)],[f168])).
% 0.18/0.37  fof(f652,plain,(
% 0.18/0.37    ![X0]: (p2(X0,X0,X0)|~q1(X0,X0,X0))),
% 0.18/0.37    inference(cnf_transformation,[status(esa)],[f192])).
% 0.18/0.37  fof(f668,plain,(
% 0.18/0.37    ![J,A]: (((![I]: p2(I,I,I))|~q1(J,A,J))|~p2(J,J,A))),
% 0.18/0.37    inference(miniscoping,[status(esa)],[f203])).
% 0.18/0.37  fof(f669,plain,(
% 0.18/0.37    ![X0,X1,X2]: (p2(X0,X0,X0)|~q1(X1,X2,X1)|~p2(X1,X1,X2))),
% 0.18/0.37    inference(cnf_transformation,[status(esa)],[f668])).
% 0.18/0.37  fof(f699,plain,(
% 0.18/0.37    ![X0,X1]: (q2(X0,X0,X1)|~l1(X1,X0))),
% 0.18/0.37    inference(cnf_transformation,[status(esa)],[f224])).
% 0.18/0.37  fof(f780,plain,(
% 0.18/0.37    ![D,E]: ((![C]: (p3(C,D,E)|(![F]: ~q2(F,d,C))))|~k2(D,E))),
% 0.18/0.37    inference(miniscoping,[status(esa)],[f279])).
% 0.18/0.37  fof(f781,plain,(
% 0.18/0.37    ![X0,X1,X2,X3]: (p3(X0,X1,X2)|~q2(X3,d,X0)|~k2(X1,X2))),
% 0.18/0.37    inference(cnf_transformation,[status(esa)],[f780])).
% 0.18/0.37  fof(f820,plain,(
% 0.18/0.37    ![B,C]: (r3(B,C,B)|(![D]: ~p2(B,D,C)))),
% 0.18/0.37    inference(miniscoping,[status(esa)],[f305])).
% 0.18/0.37  fof(f821,plain,(
% 0.18/0.37    ![X0,X1,X2]: (r3(X0,X1,X0)|~p2(X0,X2,X1))),
% 0.18/0.37    inference(cnf_transformation,[status(esa)],[f820])).
% 0.18/0.37  fof(f873,plain,(
% 0.18/0.37    ![A,C]: ((s4(A)|(![B,D]: ~p3(B,C,D)))|~l1(A,C))),
% 0.18/0.37    inference(miniscoping,[status(esa)],[f337])).
% 0.18/0.37  fof(f874,plain,(
% 0.18/0.37    ![X0,X1,X2,X3]: (s4(X0)|~p3(X1,X2,X3)|~l1(X0,X2))),
% 0.18/0.37    inference(cnf_transformation,[status(esa)],[f873])).
% 0.18/0.37  fof(f875,plain,(
% 0.18/0.37    ![E]: ((k5(E)|(![F]: ~s4(F)))|(![G]: ~r3(G,E,E)))),
% 0.18/0.37    inference(miniscoping,[status(esa)],[f338])).
% 0.18/0.37  fof(f876,plain,(
% 0.18/0.37    ![X0,X1,X2]: (k5(X0)|~s4(X1)|~r3(X2,X0,X0))),
% 0.18/0.37    inference(cnf_transformation,[status(esa)],[f875])).
% 0.18/0.37  fof(f924,plain,(
% 0.18/0.37    ~k5(e)),
% 0.18/0.37    inference(cnf_transformation,[status(esa)],[f369])).
% 0.18/0.37  fof(f956,plain,(
% 0.18/0.38    spl0_9 <=> l1(c,c)),
% 0.18/0.38    introduced(split_symbol_definition)).
% 0.18/0.38  fof(f958,plain,(
% 0.18/0.38    ~l1(c,c)|spl0_9),
% 0.18/0.38    inference(component_clause,[status(thm)],[f956])).
% 0.18/0.38  fof(f1100,plain,(
% 0.18/0.38    spl0_50 <=> r0(b)),
% 0.18/0.38    introduced(split_symbol_definition)).
% 0.18/0.38  fof(f1102,plain,(
% 0.18/0.38    ~r0(b)|spl0_50),
% 0.18/0.38    inference(component_clause,[status(thm)],[f1100])).
% 0.18/0.38  fof(f1280,plain,(
% 0.18/0.38    spl0_100 <=> q1(b,b,b)),
% 0.18/0.38    introduced(split_symbol_definition)).
% 0.18/0.38  fof(f1281,plain,(
% 0.18/0.38    q1(b,b,b)|~spl0_100),
% 0.18/0.38    inference(component_clause,[status(thm)],[f1280])).
% 0.18/0.38  fof(f1299,plain,(
% 0.18/0.38    spl0_100|~spl0_50),
% 0.18/0.38    inference(split_clause,[status(thm)],[f599,f1280,f1100])).
% 0.18/0.38  fof(f1311,plain,(
% 0.18/0.38    spl0_108 <=> k2(e,e)),
% 0.18/0.38    introduced(split_symbol_definition)).
% 0.18/0.38  fof(f1312,plain,(
% 0.18/0.38    k2(e,e)|~spl0_108),
% 0.18/0.38    inference(component_clause,[status(thm)],[f1311])).
% 0.18/0.38  fof(f1314,plain,(
% 0.18/0.38    spl0_109 <=> l1(e,e)),
% 0.18/0.38    introduced(split_symbol_definition)).
% 0.18/0.38  fof(f1315,plain,(
% 0.18/0.38    l1(e,e)|~spl0_109),
% 0.18/0.38    inference(component_clause,[status(thm)],[f1314])).
% 0.18/0.38  fof(f1316,plain,(
% 0.18/0.38    ~l1(e,e)|spl0_109),
% 0.18/0.38    inference(component_clause,[status(thm)],[f1314])).
% 0.18/0.38  fof(f1317,plain,(
% 0.18/0.38    spl0_108|~spl0_109),
% 0.18/0.38    inference(split_clause,[status(thm)],[f615,f1311,f1314])).
% 0.18/0.38  fof(f1464,plain,(
% 0.18/0.38    spl0_152 <=> p2(X0,X0,X0)),
% 0.18/0.38    introduced(split_symbol_definition)).
% 0.18/0.38  fof(f1465,plain,(
% 0.18/0.38    ![X0]: (p2(X0,X0,X0)|~spl0_152)),
% 0.18/0.38    inference(component_clause,[status(thm)],[f1464])).
% 0.18/0.38  fof(f1467,plain,(
% 0.18/0.38    spl0_153 <=> ~q1(X1,X2,X1)|~p2(X1,X1,X2)),
% 0.18/0.38    introduced(split_symbol_definition)).
% 0.18/0.38  fof(f1468,plain,(
% 0.18/0.38    ![X0,X1]: (~q1(X0,X1,X0)|~p2(X0,X0,X1)|~spl0_153)),
% 0.18/0.38    inference(component_clause,[status(thm)],[f1467])).
% 0.18/0.38  fof(f1470,plain,(
% 0.18/0.38    spl0_152|spl0_153),
% 0.18/0.38    inference(split_clause,[status(thm)],[f669,f1464,f1467])).
% 0.18/0.38  fof(f1894,plain,(
% 0.18/0.38    spl0_275 <=> k5(X0)|~r3(X2,X0,X0)),
% 0.18/0.38    introduced(split_symbol_definition)).
% 0.18/0.38  fof(f1895,plain,(
% 0.18/0.38    ![X0,X1]: (k5(X0)|~r3(X1,X0,X0)|~spl0_275)),
% 0.18/0.38    inference(component_clause,[status(thm)],[f1894])).
% 0.18/0.38  fof(f1897,plain,(
% 0.18/0.38    spl0_276 <=> ~s4(X1)),
% 0.18/0.38    introduced(split_symbol_definition)).
% 0.18/0.38  fof(f1898,plain,(
% 0.18/0.38    ![X0]: (~s4(X0)|~spl0_276)),
% 0.18/0.38    inference(component_clause,[status(thm)],[f1897])).
% 0.18/0.38  fof(f1900,plain,(
% 0.18/0.38    spl0_275|spl0_276),
% 0.18/0.38    inference(split_clause,[status(thm)],[f876,f1894,f1897])).
% 0.18/0.38  fof(f2013,plain,(
% 0.18/0.38    $false|spl0_50),
% 0.18/0.38    inference(forward_subsumption_resolution,[status(thm)],[f1102,f378])).
% 0.18/0.38  fof(f2014,plain,(
% 0.18/0.38    spl0_50),
% 0.18/0.38    inference(contradiction_clause,[status(thm)],[f2013])).
% 0.18/0.38  fof(f2038,plain,(
% 0.18/0.38    ![X0,X1,X2,X3]: (~p3(X0,X1,X2)|~l1(X3,X1)|~spl0_276)),
% 0.18/0.38    inference(backward_subsumption_resolution,[status(thm)],[f874,f1898])).
% 0.18/0.38  fof(f2129,plain,(
% 0.18/0.38    ![X0]: (~q1(X0,X0,X0)|~spl0_153)),
% 0.18/0.38    inference(forward_subsumption_resolution,[status(thm)],[f652,f1468])).
% 0.18/0.38  fof(f2130,plain,(
% 0.18/0.38    $false|~spl0_153|~spl0_100),
% 0.18/0.38    inference(backward_subsumption_resolution,[status(thm)],[f1281,f2129])).
% 0.18/0.38  fof(f2131,plain,(
% 0.18/0.38    ~spl0_153|~spl0_100),
% 0.18/0.38    inference(contradiction_clause,[status(thm)],[f2130])).
% 0.18/0.38  fof(f2158,plain,(
% 0.18/0.38    ![X0]: (~n0(X0,e)|spl0_109)),
% 0.18/0.38    inference(resolution,[status(thm)],[f411,f1316])).
% 0.18/0.38  fof(f2159,plain,(
% 0.18/0.38    ![X0]: (~n0(X0,c)|spl0_9)),
% 0.18/0.38    inference(resolution,[status(thm)],[f411,f958])).
% 0.18/0.38  fof(f2162,plain,(
% 0.18/0.38    $false|spl0_109),
% 0.18/0.38    inference(backward_subsumption_resolution,[status(thm)],[f399,f2158])).
% 0.18/0.38  fof(f2163,plain,(
% 0.18/0.38    spl0_109),
% 0.18/0.38    inference(contradiction_clause,[status(thm)],[f2162])).
% 0.18/0.38  fof(f2164,plain,(
% 0.18/0.38    $false|spl0_9),
% 0.18/0.38    inference(backward_subsumption_resolution,[status(thm)],[f395,f2159])).
% 0.18/0.38  fof(f2165,plain,(
% 0.18/0.38    spl0_9),
% 0.18/0.38    inference(contradiction_clause,[status(thm)],[f2164])).
% 0.18/0.38  fof(f2167,plain,(
% 0.18/0.38    ![X0,X1]: (~p3(X0,e,X1)|~spl0_109|~spl0_276)),
% 0.18/0.38    inference(resolution,[status(thm)],[f1315,f2038])).
% 0.18/0.38  fof(f2169,plain,(
% 0.18/0.38    ![X0,X1]: (p3(X0,e,e)|~q2(X1,d,X0)|~spl0_108)),
% 0.18/0.38    inference(resolution,[status(thm)],[f781,f1312])).
% 0.18/0.38  fof(f2170,plain,(
% 0.18/0.38    ![X0,X1]: (~q2(X0,d,X1)|~spl0_109|~spl0_276|~spl0_108)),
% 0.18/0.38    inference(forward_subsumption_resolution,[status(thm)],[f2169,f2167])).
% 0.18/0.38  fof(f2197,plain,(
% 0.18/0.38    ![X0,X1]: (~p2(X0,X1,X0)|k5(X0)|~spl0_275)),
% 0.18/0.38    inference(resolution,[status(thm)],[f821,f1895])).
% 0.18/0.38  fof(f2198,plain,(
% 0.18/0.38    ![X0]: (~p2(e,X0,e)|~spl0_275)),
% 0.18/0.38    inference(resolution,[status(thm)],[f2197,f924])).
% 0.18/0.39  fof(f2210,plain,(
% 0.18/0.39    $false|~spl0_275|~spl0_152),
% 0.18/0.39    inference(resolution,[status(thm)],[f2198,f1465])).
% 0.18/0.39  fof(f2211,plain,(
% 0.18/0.39    ~spl0_275|~spl0_152),
% 0.18/0.39    inference(contradiction_clause,[status(thm)],[f2210])).
% 0.18/0.39  fof(f2220,plain,(
% 0.18/0.39    ![X0]: (~l1(X0,d)|~spl0_109|~spl0_276|~spl0_108)),
% 0.18/0.39    inference(resolution,[status(thm)],[f2170,f699])).
% 0.18/0.39  fof(f2228,plain,(
% 0.18/0.39    ![X0]: (~n0(X0,d)|~spl0_109|~spl0_276|~spl0_108)),
% 0.18/0.39    inference(resolution,[status(thm)],[f2220,f411])).
% 0.18/0.39  fof(f2229,plain,(
% 0.18/0.39    $false|~spl0_109|~spl0_276|~spl0_108),
% 0.18/0.39    inference(backward_subsumption_resolution,[status(thm)],[f403,f2228])).
% 0.18/0.39  fof(f2230,plain,(
% 0.18/0.39    ~spl0_109|~spl0_276|~spl0_108),
% 0.18/0.39    inference(contradiction_clause,[status(thm)],[f2229])).
% 0.18/0.39  fof(f2231,plain,(
% 0.18/0.39    $false),
% 0.18/0.39    inference(sat_refutation,[status(thm)],[f1299,f1317,f1470,f1900,f2014,f2131,f2163,f2165,f2211,f2230])).
% 0.18/0.39  % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.39  % Elapsed time: 0.056903 seconds
% 0.18/0.39  % CPU time: 0.323525 seconds
% 0.18/0.39  % Total memory used: 49.918 MB
% 0.18/0.39  % Net memory used: 49.466 MB
%------------------------------------------------------------------------------