TSTP Solution File: SYN192-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN192-1 : 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 : Tue Apr 30 20:51:33 EDT 2024

% Result   : Unsatisfiable 0.11s 0.39s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN192-1 : TPTP v8.1.2. Released v1.1.0.
% 0.11/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Mon Apr 29 21:54:17 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.11/0.34  % Drodi V3.6.0
% 0.11/0.39  % Refutation found
% 0.11/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.39  % SZS output start CNFRefutation for theBenchmark
% 0.11/0.39  fof(f14,axiom,(
% 0.11/0.39    (![X]: (p0(b,X) ))),
% 0.11/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39  fof(f30,axiom,(
% 0.11/0.39    n0(e,e) ),
% 0.11/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39  fof(f37,axiom,(
% 0.11/0.39    n0(b,a) ),
% 0.11/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39  fof(f39,axiom,(
% 0.11/0.39    (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.11/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39  fof(f104,axiom,(
% 0.11/0.39    (![G,H]: (( p1(G,G,G)| ~ n0(H,G) ) ))),
% 0.11/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39  fof(f197,axiom,(
% 0.11/0.39    (![A]: (( p2(A,A,A)| ~ k1(A) ) ))),
% 0.11/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39  fof(f219,axiom,(
% 0.11/0.39    (![I]: (( q2(I,I,I)| ~ p1(I,I,I) ) ))),
% 0.11/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39  fof(f278,axiom,(
% 0.11/0.39    (![D,E,F]: (( n3(D)| ~ p2(E,F,D) ) ))),
% 0.11/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39  fof(f293,axiom,(
% 0.11/0.39    (![G,H,I]: (( q3(G,H)| ~ q2(I,G,H)| ~ n0(I,G) ) ))),
% 0.11/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39  fof(f336,axiom,(
% 0.11/0.39    (![G,H,I,J]: (( r4(G)| ~ n3(G)| ~ q3(H,I)| ~ p0(J,G) ) ))),
% 0.11/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39  fof(f369,negated_conjecture,(
% 0.11/0.39    ~ r4(a) ),
% 0.11/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39  fof(f383,plain,(
% 0.11/0.39    ![X0]: (p0(b,X0))),
% 0.11/0.39    inference(cnf_transformation,[status(esa)],[f14])).
% 0.11/0.39  fof(f399,plain,(
% 0.11/0.39    n0(e,e)),
% 0.11/0.39    inference(cnf_transformation,[status(esa)],[f30])).
% 0.11/0.39  fof(f406,plain,(
% 0.11/0.39    n0(b,a)),
% 0.11/0.39    inference(cnf_transformation,[status(esa)],[f37])).
% 0.11/0.39  fof(f408,plain,(
% 0.11/0.39    ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.11/0.39    inference(miniscoping,[status(esa)],[f39])).
% 0.11/0.39  fof(f409,plain,(
% 0.11/0.39    ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.11/0.39    inference(cnf_transformation,[status(esa)],[f408])).
% 0.11/0.39  fof(f513,plain,(
% 0.11/0.39    ![G]: (p1(G,G,G)|(![H]: ~n0(H,G)))),
% 0.11/0.39    inference(miniscoping,[status(esa)],[f104])).
% 0.11/0.39  fof(f514,plain,(
% 0.11/0.39    ![X0,X1]: (p1(X0,X0,X0)|~n0(X1,X0))),
% 0.11/0.39    inference(cnf_transformation,[status(esa)],[f513])).
% 0.11/0.39  fof(f659,plain,(
% 0.11/0.39    ![X0]: (p2(X0,X0,X0)|~k1(X0))),
% 0.11/0.39    inference(cnf_transformation,[status(esa)],[f197])).
% 0.11/0.39  fof(f692,plain,(
% 0.11/0.39    ![X0]: (q2(X0,X0,X0)|~p1(X0,X0,X0))),
% 0.11/0.39    inference(cnf_transformation,[status(esa)],[f219])).
% 0.11/0.39  fof(f778,plain,(
% 0.11/0.39    ![D]: (n3(D)|(![E,F]: ~p2(E,F,D)))),
% 0.11/0.39    inference(miniscoping,[status(esa)],[f278])).
% 0.11/0.39  fof(f779,plain,(
% 0.11/0.39    ![X0,X1,X2]: (n3(X0)|~p2(X1,X2,X0))),
% 0.11/0.39    inference(cnf_transformation,[status(esa)],[f778])).
% 0.11/0.39  fof(f801,plain,(
% 0.11/0.39    ![G,I]: ((![H]: (q3(G,H)|~q2(I,G,H)))|~n0(I,G))),
% 0.11/0.39    inference(miniscoping,[status(esa)],[f293])).
% 0.11/0.39  fof(f802,plain,(
% 0.11/0.39    ![X0,X1,X2]: (q3(X0,X1)|~q2(X2,X0,X1)|~n0(X2,X0))),
% 0.11/0.39    inference(cnf_transformation,[status(esa)],[f801])).
% 0.11/0.39  fof(f871,plain,(
% 0.11/0.39    ![G]: (((r4(G)|~n3(G))|(![H,I]: ~q3(H,I)))|(![J]: ~p0(J,G)))),
% 0.11/0.39    inference(miniscoping,[status(esa)],[f336])).
% 0.11/0.39  fof(f872,plain,(
% 0.11/0.39    ![X0,X1,X2,X3]: (r4(X0)|~n3(X0)|~q3(X1,X2)|~p0(X3,X0))),
% 0.11/0.39    inference(cnf_transformation,[status(esa)],[f871])).
% 0.11/0.39  fof(f924,plain,(
% 0.11/0.39    ~r4(a)),
% 0.11/0.39    inference(cnf_transformation,[status(esa)],[f369])).
% 0.11/0.39  fof(f1044,plain,(
% 0.11/0.39    spl0_34 <=> k1(a)),
% 0.11/0.39    introduced(split_symbol_definition)).
% 0.11/0.39  fof(f1046,plain,(
% 0.11/0.39    ~k1(a)|spl0_34),
% 0.11/0.39    inference(component_clause,[status(thm)],[f1044])).
% 0.11/0.39  fof(f1848,plain,(
% 0.11/0.39    spl0_262 <=> ~q3(X1,X2)),
% 0.11/0.39    introduced(split_symbol_definition)).
% 0.11/0.39  fof(f1849,plain,(
% 0.11/0.39    ![X0,X1]: (~q3(X0,X1)|~spl0_262)),
% 0.11/0.39    inference(component_clause,[status(thm)],[f1848])).
% 0.11/0.39  fof(f1869,plain,(
% 0.11/0.39    spl0_268 <=> n3(a)),
% 0.11/0.39    introduced(split_symbol_definition)).
% 0.11/0.39  fof(f1870,plain,(
% 0.11/0.39    n3(a)|~spl0_268),
% 0.11/0.39    inference(component_clause,[status(thm)],[f1869])).
% 0.11/0.39  fof(f1871,plain,(
% 0.11/0.39    ~n3(a)|spl0_268),
% 0.11/0.39    inference(component_clause,[status(thm)],[f1869])).
% 0.11/0.39  fof(f1890,plain,(
% 0.11/0.39    spl0_274 <=> r4(X0)|~n3(X0)|~p0(X3,X0)),
% 0.11/0.39    introduced(split_symbol_definition)).
% 0.11/0.39  fof(f1891,plain,(
% 0.11/0.39    ![X0,X1]: (r4(X0)|~n3(X0)|~p0(X1,X0)|~spl0_274)),
% 0.11/0.39    inference(component_clause,[status(thm)],[f1890])).
% 0.11/0.39  fof(f1893,plain,(
% 0.11/0.39    spl0_274|spl0_262),
% 0.11/0.39    inference(split_clause,[status(thm)],[f872,f1890,f1848])).
% 0.11/0.39  fof(f1970,plain,(
% 0.11/0.39    spl0_297 <=> r4(a)),
% 0.11/0.39    introduced(split_symbol_definition)).
% 0.11/0.39  fof(f1971,plain,(
% 0.11/0.39    r4(a)|~spl0_297),
% 0.11/0.39    inference(component_clause,[status(thm)],[f1970])).
% 0.11/0.39  fof(f2011,plain,(
% 0.11/0.39    k1(a)),
% 0.11/0.39    inference(resolution,[status(thm)],[f409,f406])).
% 0.11/0.39  fof(f2041,plain,(
% 0.11/0.39    $false|spl0_34),
% 0.11/0.39    inference(forward_subsumption_resolution,[status(thm)],[f1046,f2011])).
% 0.11/0.39  fof(f2042,plain,(
% 0.11/0.39    spl0_34),
% 0.11/0.39    inference(contradiction_clause,[status(thm)],[f2041])).
% 0.11/0.39  fof(f2052,plain,(
% 0.11/0.39    ![X0]: (n3(X0)|~k1(X0))),
% 0.11/0.39    inference(resolution,[status(thm)],[f779,f659])).
% 0.11/0.39  fof(f2055,plain,(
% 0.11/0.39    ~k1(a)|spl0_268),
% 0.11/0.39    inference(resolution,[status(thm)],[f2052,f1871])).
% 0.11/0.39  fof(f2056,plain,(
% 0.11/0.39    ~spl0_34|spl0_268),
% 0.11/0.39    inference(split_clause,[status(thm)],[f2055,f1044,f1869])).
% 0.11/0.39  fof(f2457,plain,(
% 0.11/0.39    ![X0,X1,X2]: (~q2(X0,X1,X2)|~n0(X0,X1)|~spl0_262)),
% 0.11/0.39    inference(forward_subsumption_resolution,[status(thm)],[f802,f1849])).
% 0.11/0.39  fof(f2461,plain,(
% 0.11/0.39    ![X0]: (~n0(X0,X0)|~p1(X0,X0,X0)|~spl0_262)),
% 0.11/0.39    inference(resolution,[status(thm)],[f2457,f692])).
% 0.11/0.39  fof(f2462,plain,(
% 0.11/0.39    ![X0]: (~n0(X0,X0)|~spl0_262)),
% 0.11/0.39    inference(forward_subsumption_resolution,[status(thm)],[f2461,f514])).
% 0.11/0.39  fof(f2470,plain,(
% 0.11/0.39    $false|~spl0_262),
% 0.11/0.39    inference(backward_subsumption_resolution,[status(thm)],[f399,f2462])).
% 0.11/0.39  fof(f2471,plain,(
% 0.11/0.39    ~spl0_262),
% 0.11/0.39    inference(contradiction_clause,[status(thm)],[f2470])).
% 0.11/0.39  fof(f2496,plain,(
% 0.11/0.39    spl0_343 <=> ~p0(X0,a)),
% 0.11/0.39    introduced(split_symbol_definition)).
% 0.11/0.39  fof(f2497,plain,(
% 0.11/0.39    ![X0]: (~p0(X0,a)|~spl0_343)),
% 0.11/0.39    inference(component_clause,[status(thm)],[f2496])).
% 0.11/0.39  fof(f2499,plain,(
% 0.11/0.39    ![X0]: (r4(a)|~p0(X0,a)|~spl0_268|~spl0_274)),
% 0.11/0.39    inference(resolution,[status(thm)],[f1870,f1891])).
% 0.11/0.39  fof(f2500,plain,(
% 0.11/0.39    spl0_297|spl0_343|~spl0_268|~spl0_274),
% 0.11/0.39    inference(split_clause,[status(thm)],[f2499,f1970,f2496,f1869,f1890])).
% 0.11/0.39  fof(f2501,plain,(
% 0.11/0.39    $false|~spl0_343),
% 0.11/0.39    inference(resolution,[status(thm)],[f2497,f383])).
% 0.11/0.39  fof(f2502,plain,(
% 0.11/0.39    ~spl0_343),
% 0.11/0.39    inference(contradiction_clause,[status(thm)],[f2501])).
% 0.11/0.39  fof(f2522,plain,(
% 0.11/0.39    $false|~spl0_297),
% 0.11/0.39    inference(forward_subsumption_resolution,[status(thm)],[f924,f1971])).
% 0.11/0.39  fof(f2523,plain,(
% 0.11/0.39    ~spl0_297),
% 0.11/0.39    inference(contradiction_clause,[status(thm)],[f2522])).
% 0.11/0.39  fof(f2524,plain,(
% 0.11/0.39    $false),
% 0.11/0.39    inference(sat_refutation,[status(thm)],[f1893,f2042,f2056,f2471,f2500,f2502,f2523])).
% 0.11/0.39  % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.40  % Elapsed time: 0.069073 seconds
% 0.11/0.40  % CPU time: 0.380969 seconds
% 0.11/0.40  % Total memory used: 53.137 MB
% 0.11/0.40  % Net memory used: 52.545 MB
%------------------------------------------------------------------------------