TSTP Solution File: SYN121-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN121-1 : 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 : Wed May 31 12:46:02 EDT 2023

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN121-1 : TPTP v8.1.2. Released v1.1.0.
% 0.10/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n020.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 10:28:43 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  % Drodi V3.5.1
% 0.13/0.39  % Refutation found
% 0.13/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39  fof(f11,axiom,(
% 0.13/0.39    n0(e,b) ),
% 0.13/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39  fof(f14,axiom,(
% 0.13/0.39    (![X]: (p0(b,X) ))),
% 0.13/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39  fof(f17,axiom,(
% 0.13/0.39    (![X]: (q0(X,d) ))),
% 0.13/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39  fof(f19,axiom,(
% 0.13/0.39    (![X,Y]: (m0(X,d,Y) ))),
% 0.13/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39  fof(f30,axiom,(
% 0.13/0.39    n0(e,e) ),
% 0.13/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39  fof(f31,axiom,(
% 0.13/0.39    m0(b,b,e) ),
% 0.13/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39  fof(f32,axiom,(
% 0.13/0.39    k0(b) ),
% 0.13/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39  fof(f43,axiom,(
% 0.13/0.39    (![B,C]: (( m1(B,C,B)| ~ m0(C,C,B) ) ))),
% 0.13/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39  fof(f49,axiom,(
% 0.13/0.39    (![J,A]: (( m1(J,J,A)| ~ k0(J)| ~ n0(A,A) ) ))),
% 0.13/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39  fof(f54,axiom,(
% 0.13/0.39    (![H,I,J,A]: (( m1(H,I,I)| ~ m1(J,I,H)| ~ m1(J,A,I) ) ))),
% 0.13/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39  fof(f163,axiom,(
% 0.13/0.39    (![I]: (( s1(I)| ~ p0(I,I) ) ))),
% 0.13/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39  fof(f164,axiom,(
% 0.13/0.39    (![F,G,H]: (( s1(F)| ~ q0(F,G)| ~ s1(H) ) ))),
% 0.13/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39  fof(f169,axiom,(
% 0.13/0.39    (![D,E]: (( l2(D,E)| ~ s1(D)| ~ n0(e,E)| ~ l2(E,E) ) ))),
% 0.13/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39  fof(f172,axiom,(
% 0.13/0.39    (![G,H,I]: (( l2(G,G)| ~ m0(H,G,I)| ~ m1(I,H,H)| ~ p0(H,G) ) ))),
% 0.13/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39  fof(f369,negated_conjecture,(
% 0.13/0.39    ~ l2(a,b) ),
% 0.13/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39  fof(f380,plain,(
% 0.13/0.39    n0(e,b)),
% 0.13/0.39    inference(cnf_transformation,[status(esa)],[f11])).
% 0.13/0.39  fof(f383,plain,(
% 0.13/0.39    ![X0]: (p0(b,X0))),
% 0.13/0.39    inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.39  fof(f386,plain,(
% 0.13/0.39    ![X0]: (q0(X0,d))),
% 0.13/0.39    inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.39  fof(f388,plain,(
% 0.13/0.39    ![X0,X1]: (m0(X0,d,X1))),
% 0.13/0.39    inference(cnf_transformation,[status(esa)],[f19])).
% 0.13/0.39  fof(f399,plain,(
% 0.13/0.39    n0(e,e)),
% 0.13/0.39    inference(cnf_transformation,[status(esa)],[f30])).
% 0.13/0.39  fof(f400,plain,(
% 0.13/0.39    m0(b,b,e)),
% 0.13/0.39    inference(cnf_transformation,[status(esa)],[f31])).
% 0.13/0.39  fof(f401,plain,(
% 0.13/0.39    k0(b)),
% 0.13/0.39    inference(cnf_transformation,[status(esa)],[f32])).
% 0.13/0.39  fof(f416,plain,(
% 0.13/0.39    ![X0,X1]: (m1(X0,X1,X0)|~m0(X1,X1,X0))),
% 0.13/0.39    inference(cnf_transformation,[status(esa)],[f43])).
% 0.13/0.39  fof(f425,plain,(
% 0.13/0.39    ![A]: ((![J]: (m1(J,J,A)|~k0(J)))|~n0(A,A))),
% 0.13/0.39    inference(miniscoping,[status(esa)],[f49])).
% 0.13/0.39  fof(f426,plain,(
% 0.13/0.39    ![X0,X1]: (m1(X0,X0,X1)|~k0(X0)|~n0(X1,X1))),
% 0.13/0.39    inference(cnf_transformation,[status(esa)],[f425])).
% 0.13/0.39  fof(f434,plain,(
% 0.13/0.39    ![I,J]: ((![H]: (m1(H,I,I)|~m1(J,I,H)))|(![A]: ~m1(J,A,I)))),
% 0.13/0.39    inference(miniscoping,[status(esa)],[f54])).
% 0.13/0.39  fof(f435,plain,(
% 0.13/0.39    ![X0,X1,X2,X3]: (m1(X0,X1,X1)|~m1(X2,X1,X0)|~m1(X2,X3,X1))),
% 0.13/0.39    inference(cnf_transformation,[status(esa)],[f434])).
% 0.13/0.39  fof(f607,plain,(
% 0.13/0.39    ![X0]: (s1(X0)|~p0(X0,X0))),
% 0.13/0.39    inference(cnf_transformation,[status(esa)],[f163])).
% 0.13/0.39  fof(f608,plain,(
% 0.13/0.39    (![F]: (s1(F)|(![G]: ~q0(F,G))))|(![H]: ~s1(H))),
% 0.13/0.39    inference(miniscoping,[status(esa)],[f164])).
% 0.13/0.39  fof(f609,plain,(
% 0.13/0.39    ![X0,X1,X2]: (s1(X0)|~q0(X0,X1)|~s1(X2))),
% 0.13/0.39    inference(cnf_transformation,[status(esa)],[f608])).
% 0.13/0.39  fof(f616,plain,(
% 0.13/0.39    ![E]: (((![D]: (l2(D,E)|~s1(D)))|~n0(e,E))|~l2(E,E))),
% 0.13/0.39    inference(miniscoping,[status(esa)],[f169])).
% 0.13/0.39  fof(f617,plain,(
% 0.13/0.39    ![X0,X1]: (l2(X0,X1)|~s1(X0)|~n0(e,X1)|~l2(X1,X1))),
% 0.13/0.39    inference(cnf_transformation,[status(esa)],[f616])).
% 0.13/0.39  fof(f621,plain,(
% 0.13/0.39    ![G,H]: ((![I]: ((l2(G,G)|~m0(H,G,I))|~m1(I,H,H)))|~p0(H,G))),
% 0.13/0.39    inference(miniscoping,[status(esa)],[f172])).
% 0.13/0.39  fof(f622,plain,(
% 0.13/0.39    ![X0,X1,X2]: (l2(X0,X0)|~m0(X1,X0,X2)|~m1(X2,X1,X1)|~p0(X1,X0))),
% 0.13/0.39    inference(cnf_transformation,[status(esa)],[f621])).
% 0.13/0.39  fof(f924,plain,(
% 0.13/0.39    ~l2(a,b)),
% 0.13/0.39    inference(cnf_transformation,[status(esa)],[f369])).
% 0.13/0.39  fof(f1152,plain,(
% 0.13/0.39    spl0_65 <=> n0(e,b)),
% 0.13/0.39    introduced(split_symbol_definition)).
% 0.13/0.40  fof(f1154,plain,(
% 0.13/0.40    ~n0(e,b)|spl0_65),
% 0.13/0.40    inference(component_clause,[status(thm)],[f1152])).
% 0.13/0.40  fof(f1304,plain,(
% 0.13/0.40    spl0_106 <=> s1(X0)|~q0(X0,X1)),
% 0.13/0.40    introduced(split_symbol_definition)).
% 0.13/0.40  fof(f1305,plain,(
% 0.13/0.40    ![X0,X1]: (s1(X0)|~q0(X0,X1)|~spl0_106)),
% 0.13/0.40    inference(component_clause,[status(thm)],[f1304])).
% 0.13/0.40  fof(f1307,plain,(
% 0.13/0.40    spl0_107 <=> ~s1(X2)),
% 0.13/0.40    introduced(split_symbol_definition)).
% 0.13/0.40  fof(f1308,plain,(
% 0.13/0.40    ![X0]: (~s1(X0)|~spl0_107)),
% 0.13/0.40    inference(component_clause,[status(thm)],[f1307])).
% 0.13/0.40  fof(f1310,plain,(
% 0.13/0.40    spl0_106|spl0_107),
% 0.13/0.40    inference(split_clause,[status(thm)],[f609,f1304,f1307])).
% 0.13/0.40  fof(f2001,plain,(
% 0.13/0.40    ![X0]: (~p0(X0,X0)|~spl0_107)),
% 0.13/0.40    inference(forward_subsumption_resolution,[status(thm)],[f607,f1308])).
% 0.13/0.40  fof(f2002,plain,(
% 0.13/0.40    $false|~spl0_107),
% 0.13/0.40    inference(resolution,[status(thm)],[f2001,f383])).
% 0.13/0.40  fof(f2003,plain,(
% 0.13/0.40    ~spl0_107),
% 0.13/0.40    inference(contradiction_clause,[status(thm)],[f2002])).
% 0.13/0.40  fof(f2022,plain,(
% 0.13/0.40    ![X0]: (m1(X0,d,X0))),
% 0.13/0.40    inference(resolution,[status(thm)],[f416,f388])).
% 0.13/0.40  fof(f2073,plain,(
% 0.13/0.40    ![X0]: (m1(X0,X0,e)|~k0(X0))),
% 0.13/0.40    inference(resolution,[status(thm)],[f426,f399])).
% 0.13/0.40  fof(f2085,plain,(
% 0.13/0.40    ![X0,X1]: (m1(X0,X1,X1)|~m1(X1,X1,X0))),
% 0.13/0.40    inference(resolution,[status(thm)],[f435,f2022])).
% 0.13/0.40  fof(f2169,plain,(
% 0.13/0.40    $false|spl0_65),
% 0.13/0.40    inference(forward_subsumption_resolution,[status(thm)],[f1154,f380])).
% 0.13/0.40  fof(f2170,plain,(
% 0.13/0.40    spl0_65),
% 0.13/0.40    inference(contradiction_clause,[status(thm)],[f2169])).
% 0.13/0.40  fof(f2257,plain,(
% 0.13/0.40    ![X0]: (s1(X0)|~spl0_106)),
% 0.13/0.40    inference(resolution,[status(thm)],[f1305,f386])).
% 0.13/0.40  fof(f2497,plain,(
% 0.13/0.40    m1(b,b,e)),
% 0.13/0.40    inference(resolution,[status(thm)],[f2073,f401])).
% 0.13/0.40  fof(f2747,plain,(
% 0.13/0.40    m1(e,b,b)),
% 0.13/0.40    inference(resolution,[status(thm)],[f2085,f2497])).
% 0.13/0.40  fof(f2757,plain,(
% 0.13/0.40    ![X0]: (l2(X0,X0)|~m0(b,X0,e)|~p0(b,X0))),
% 0.13/0.40    inference(resolution,[status(thm)],[f2747,f622])).
% 0.13/0.40  fof(f2758,plain,(
% 0.13/0.40    ![X0]: (l2(X0,X0)|~m0(b,X0,e))),
% 0.13/0.40    inference(forward_subsumption_resolution,[status(thm)],[f2757,f383])).
% 0.13/0.40  fof(f2886,plain,(
% 0.13/0.40    l2(b,b)),
% 0.13/0.40    inference(resolution,[status(thm)],[f2758,f400])).
% 0.13/0.40  fof(f2993,plain,(
% 0.13/0.40    ![X0,X1]: (l2(X0,X1)|~n0(e,X1)|~l2(X1,X1)|~spl0_106)),
% 0.13/0.40    inference(forward_subsumption_resolution,[status(thm)],[f617,f2257])).
% 0.13/0.40  fof(f2994,plain,(
% 0.13/0.40    spl0_390 <=> l2(X0,b)),
% 0.13/0.40    introduced(split_symbol_definition)).
% 0.13/0.40  fof(f2995,plain,(
% 0.13/0.40    ![X0]: (l2(X0,b)|~spl0_390)),
% 0.13/0.40    inference(component_clause,[status(thm)],[f2994])).
% 0.13/0.40  fof(f2997,plain,(
% 0.13/0.40    ![X0]: (l2(X0,b)|~n0(e,b)|~spl0_106)),
% 0.13/0.40    inference(resolution,[status(thm)],[f2993,f2886])).
% 0.13/0.40  fof(f2998,plain,(
% 0.13/0.40    spl0_390|~spl0_65|~spl0_106),
% 0.13/0.40    inference(split_clause,[status(thm)],[f2997,f2994,f1152,f1304])).
% 0.13/0.40  fof(f3033,plain,(
% 0.13/0.40    $false|~spl0_390),
% 0.13/0.40    inference(backward_subsumption_resolution,[status(thm)],[f924,f2995])).
% 0.13/0.40  fof(f3034,plain,(
% 0.13/0.40    ~spl0_390),
% 0.13/0.40    inference(contradiction_clause,[status(thm)],[f3033])).
% 0.13/0.40  fof(f3035,plain,(
% 0.13/0.40    $false),
% 0.13/0.40    inference(sat_refutation,[status(thm)],[f1310,f2003,f2170,f2998,f3034])).
% 0.13/0.40  % SZS output end CNFRefutation for theBenchmark.p
% 0.49/0.61  % Elapsed time: 0.056372 seconds
% 0.49/0.61  % CPU time: 0.235126 seconds
% 0.49/0.61  % Memory used: 20.684 MB
%------------------------------------------------------------------------------