TSTP Solution File: SYN110-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN110-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.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 20:51:21 EDT 2024

% Result   : Unsatisfiable 0.14s 0.48s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.20  % Problem  : SYN110-1 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.20  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.40  % Computer : n011.cluster.edu
% 0.08/0.40  % Model    : x86_64 x86_64
% 0.08/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.40  % Memory   : 8042.1875MB
% 0.08/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.40  % CPULimit : 300
% 0.08/0.40  % WCLimit  : 300
% 0.08/0.40  % DateTime : Mon Apr 29 21:57:32 EDT 2024
% 0.08/0.40  % CPUTime  : 
% 0.08/0.42  % Drodi V3.6.0
% 0.14/0.48  % Refutation found
% 0.14/0.48  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.48  % SZS output start CNFRefutation for theBenchmark
% 0.14/0.48  fof(f12,axiom,(
% 0.14/0.48    (![X]: (m0(a,X,a) ))),
% 0.14/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48  fof(f24,axiom,(
% 0.14/0.48    l0(c) ),
% 0.14/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48  fof(f33,axiom,(
% 0.14/0.48    q0(d,c) ),
% 0.14/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48  fof(f37,axiom,(
% 0.14/0.48    n0(b,a) ),
% 0.14/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48  fof(f39,axiom,(
% 0.14/0.48    (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.14/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48  fof(f58,axiom,(
% 0.14/0.48    ( m1(c,c,c)| ~ l0(c) ) ),
% 0.14/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48  fof(f62,axiom,(
% 0.14/0.48    (![F,G,H]: (( m1(F,a,G)| ~ m0(a,H,a)| ~ q0(F,G)| ~ m1(G,c,G) ) ))),
% 0.14/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48  fof(f138,axiom,(
% 0.14/0.48    (![C,D]: (( q1(C,C,C)| ~ n0(D,C) ) ))),
% 0.14/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48  fof(f165,axiom,(
% 0.14/0.48    (![C,D,E,F]: (( k2(C,D)| ~ m1(E,D,C)| ~ k1(F)| ~ k2(F,D) ) ))),
% 0.14/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48  fof(f167,axiom,(
% 0.14/0.48    (![J,A]: (( k2(J,J)| ~ q1(A,J,J) ) ))),
% 0.14/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48  fof(f369,negated_conjecture,(
% 0.14/0.48    ~ k2(c,a) ),
% 0.14/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48  fof(f381,plain,(
% 0.14/0.48    ![X0]: (m0(a,X0,a))),
% 0.14/0.48    inference(cnf_transformation,[status(esa)],[f12])).
% 0.14/0.48  fof(f393,plain,(
% 0.14/0.48    l0(c)),
% 0.14/0.48    inference(cnf_transformation,[status(esa)],[f24])).
% 0.14/0.48  fof(f402,plain,(
% 0.14/0.48    q0(d,c)),
% 0.14/0.48    inference(cnf_transformation,[status(esa)],[f33])).
% 0.14/0.48  fof(f406,plain,(
% 0.14/0.48    n0(b,a)),
% 0.14/0.48    inference(cnf_transformation,[status(esa)],[f37])).
% 0.14/0.48  fof(f408,plain,(
% 0.14/0.48    ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.14/0.48    inference(miniscoping,[status(esa)],[f39])).
% 0.14/0.48  fof(f409,plain,(
% 0.14/0.48    ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.14/0.48    inference(cnf_transformation,[status(esa)],[f408])).
% 0.14/0.48  fof(f441,plain,(
% 0.14/0.48    m1(c,c,c)|~l0(c)),
% 0.14/0.48    inference(cnf_transformation,[status(esa)],[f58])).
% 0.14/0.48  fof(f446,plain,(
% 0.14/0.48    ![G]: ((![F]: ((m1(F,a,G)|(![H]: ~m0(a,H,a)))|~q0(F,G)))|~m1(G,c,G))),
% 0.14/0.48    inference(miniscoping,[status(esa)],[f62])).
% 0.14/0.48  fof(f447,plain,(
% 0.14/0.48    ![X0,X1,X2]: (m1(X0,a,X1)|~m0(a,X2,a)|~q0(X0,X1)|~m1(X1,c,X1))),
% 0.14/0.48    inference(cnf_transformation,[status(esa)],[f446])).
% 0.14/0.48  fof(f567,plain,(
% 0.14/0.48    ![C]: (q1(C,C,C)|(![D]: ~n0(D,C)))),
% 0.14/0.48    inference(miniscoping,[status(esa)],[f138])).
% 0.14/0.48  fof(f568,plain,(
% 0.14/0.48    ![X0,X1]: (q1(X0,X0,X0)|~n0(X1,X0))),
% 0.14/0.48    inference(cnf_transformation,[status(esa)],[f567])).
% 0.14/0.48  fof(f610,plain,(
% 0.14/0.48    ![D,F]: (((![C]: (k2(C,D)|(![E]: ~m1(E,D,C))))|~k1(F))|~k2(F,D))),
% 0.14/0.48    inference(miniscoping,[status(esa)],[f165])).
% 0.14/0.48  fof(f611,plain,(
% 0.14/0.48    ![X0,X1,X2,X3]: (k2(X0,X1)|~m1(X2,X1,X0)|~k1(X3)|~k2(X3,X1))),
% 0.14/0.48    inference(cnf_transformation,[status(esa)],[f610])).
% 0.14/0.48  fof(f613,plain,(
% 0.14/0.48    ![J]: (k2(J,J)|(![A]: ~q1(A,J,J)))),
% 0.14/0.48    inference(miniscoping,[status(esa)],[f167])).
% 0.14/0.48  fof(f614,plain,(
% 0.14/0.48    ![X0,X1]: (k2(X0,X0)|~q1(X1,X0,X0))),
% 0.14/0.48    inference(cnf_transformation,[status(esa)],[f613])).
% 0.14/0.48  fof(f924,plain,(
% 0.14/0.48    ~k2(c,a)),
% 0.14/0.48    inference(cnf_transformation,[status(esa)],[f369])).
% 0.14/0.48  fof(f991,plain,(
% 0.14/0.48    spl0_19 <=> m1(c,c,c)),
% 0.14/0.48    introduced(split_symbol_definition)).
% 0.14/0.48  fof(f994,plain,(
% 0.14/0.48    spl0_20 <=> l0(c)),
% 0.14/0.48    introduced(split_symbol_definition)).
% 0.14/0.48  fof(f996,plain,(
% 0.14/0.48    ~l0(c)|spl0_20),
% 0.14/0.48    inference(component_clause,[status(thm)],[f994])).
% 0.14/0.48  fof(f997,plain,(
% 0.14/0.48    spl0_19|~spl0_20),
% 0.14/0.48    inference(split_clause,[status(thm)],[f441,f991,f994])).
% 0.14/0.48  fof(f1009,plain,(
% 0.14/0.48    spl0_24 <=> m1(X0,a,X1)|~q0(X0,X1)|~m1(X1,c,X1)),
% 0.14/0.48    introduced(split_symbol_definition)).
% 0.14/0.48  fof(f1010,plain,(
% 0.14/0.48    ![X0,X1]: (m1(X0,a,X1)|~q0(X0,X1)|~m1(X1,c,X1)|~spl0_24)),
% 0.14/0.48    inference(component_clause,[status(thm)],[f1009])).
% 0.14/0.48  fof(f1012,plain,(
% 0.14/0.48    spl0_25 <=> ~m0(a,X2,a)),
% 0.14/0.48    introduced(split_symbol_definition)).
% 0.14/0.48  fof(f1013,plain,(
% 0.14/0.48    ![X0]: (~m0(a,X0,a)|~spl0_25)),
% 0.14/0.48    inference(component_clause,[status(thm)],[f1012])).
% 0.14/0.48  fof(f1015,plain,(
% 0.14/0.48    spl0_24|spl0_25),
% 0.14/0.48    inference(split_clause,[status(thm)],[f447,f1009,f1012])).
% 0.14/0.48  fof(f1396,plain,(
% 0.14/0.48    spl0_133 <=> k2(c,a)),
% 0.14/0.48    introduced(split_symbol_definition)).
% 0.14/0.48  fof(f1397,plain,(
% 0.14/0.48    k2(c,a)|~spl0_133),
% 0.14/0.48    inference(component_clause,[status(thm)],[f1396])).
% 0.14/0.49  fof(f2011,plain,(
% 0.14/0.49    k1(a)),
% 0.14/0.49    inference(resolution,[status(thm)],[f409,f406])).
% 0.14/0.49  fof(f2023,plain,(
% 0.14/0.49    $false|spl0_20),
% 0.14/0.49    inference(forward_subsumption_resolution,[status(thm)],[f996,f393])).
% 0.14/0.49  fof(f2024,plain,(
% 0.14/0.49    spl0_20),
% 0.14/0.49    inference(contradiction_clause,[status(thm)],[f2023])).
% 0.14/0.49  fof(f2053,plain,(
% 0.14/0.49    ![X0,X1,X2]: (k2(X0,X1)|~m1(X2,X1,X0)|~k2(a,X1))),
% 0.14/0.49    inference(resolution,[status(thm)],[f2011,f611])).
% 0.14/0.49  fof(f2396,plain,(
% 0.14/0.49    ![X0,X1]: (~n0(X0,X1)|k2(X1,X1))),
% 0.14/0.49    inference(resolution,[status(thm)],[f568,f614])).
% 0.14/0.49  fof(f2404,plain,(
% 0.14/0.49    k2(a,a)),
% 0.14/0.49    inference(resolution,[status(thm)],[f2396,f406])).
% 0.14/0.49  fof(f2407,plain,(
% 0.14/0.49    ![X0,X1]: (k2(X0,a)|~m1(X1,a,X0))),
% 0.14/0.49    inference(resolution,[status(thm)],[f2404,f2053])).
% 0.14/0.49  fof(f2640,plain,(
% 0.14/0.49    ![X0,X1]: (~q0(X0,X1)|~m1(X1,c,X1)|k2(X1,a)|~spl0_24)),
% 0.14/0.49    inference(resolution,[status(thm)],[f1010,f2407])).
% 0.14/0.49  fof(f2696,plain,(
% 0.14/0.49    $false|~spl0_25),
% 0.14/0.49    inference(forward_subsumption_resolution,[status(thm)],[f1013,f381])).
% 0.14/0.49  fof(f2697,plain,(
% 0.14/0.49    ~spl0_25),
% 0.14/0.49    inference(contradiction_clause,[status(thm)],[f2696])).
% 0.14/0.49  fof(f2706,plain,(
% 0.14/0.49    ~m1(c,c,c)|k2(c,a)|~spl0_24),
% 0.14/0.49    inference(resolution,[status(thm)],[f2640,f402])).
% 0.14/0.49  fof(f2707,plain,(
% 0.14/0.49    ~spl0_19|spl0_133|~spl0_24),
% 0.14/0.49    inference(split_clause,[status(thm)],[f2706,f991,f1396,f1009])).
% 0.14/0.49  fof(f2724,plain,(
% 0.14/0.49    $false|~spl0_133),
% 0.14/0.49    inference(forward_subsumption_resolution,[status(thm)],[f1397,f924])).
% 0.14/0.49  fof(f2725,plain,(
% 0.14/0.49    ~spl0_133),
% 0.14/0.49    inference(contradiction_clause,[status(thm)],[f2724])).
% 0.14/0.49  fof(f2726,plain,(
% 0.14/0.49    $false),
% 0.14/0.49    inference(sat_refutation,[status(thm)],[f997,f1015,f2024,f2697,f2707,f2725])).
% 0.14/0.49  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.50  % Elapsed time: 0.092517 seconds
% 0.14/0.50  % CPU time: 0.563949 seconds
% 0.14/0.50  % Total memory used: 56.133 MB
% 0.14/0.50  % Net memory used: 55.204 MB
%------------------------------------------------------------------------------