TSTP Solution File: SYN157-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN157-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 20:51:28 EDT 2024

% Result   : Unsatisfiable 0.22s 0.43s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN157-1 : TPTP v8.1.2. Released v1.1.0.
% 0.14/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 21:54:34 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.37  % Drodi V3.6.0
% 0.22/0.43  % Refutation found
% 0.22/0.43  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.43  % SZS output start CNFRefutation for theBenchmark
% 0.22/0.43  fof(f14,axiom,(
% 0.22/0.43    (![X]: (p0(b,X) ))),
% 0.22/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.43  fof(f17,axiom,(
% 0.22/0.43    (![X]: (q0(X,d) ))),
% 0.22/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.43  fof(f123,axiom,(
% 0.22/0.43    (![B,C]: (( p1(B,B,B)| ~ p0(C,B) ) ))),
% 0.22/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.43  fof(f163,axiom,(
% 0.22/0.43    (![I]: (( s1(I)| ~ p0(I,I) ) ))),
% 0.22/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.43  fof(f164,axiom,(
% 0.22/0.43    (![F,G,H]: (( s1(F)| ~ q0(F,G)| ~ s1(H) ) ))),
% 0.22/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.43  fof(f175,axiom,(
% 0.22/0.43    (![A,B,C]: (( n2(A)| ~ p1(B,C,A) ) ))),
% 0.22/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.43  fof(f248,axiom,(
% 0.22/0.43    (![D]: (( k3(D,D,D)| ~ n2(D) ) ))),
% 0.22/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.43  fof(f325,axiom,(
% 0.22/0.43    (![B,C]: (( p4(B,C,B)| ~ k3(B,B,C) ) ))),
% 0.22/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.43  fof(f354,axiom,(
% 0.22/0.43    (![H,I,J]: (( n5(H,H)| ~ p4(I,H,H)| ~ s1(H)| ~ p4(b,b,J) ) ))),
% 0.22/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.43  fof(f369,negated_conjecture,(
% 0.22/0.43    (![X]: (~ n5(X,d) ))),
% 0.22/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.43  fof(f383,plain,(
% 0.22/0.43    ![X0]: (p0(b,X0))),
% 0.22/0.43    inference(cnf_transformation,[status(esa)],[f14])).
% 0.22/0.43  fof(f386,plain,(
% 0.22/0.43    ![X0]: (q0(X0,d))),
% 0.22/0.43    inference(cnf_transformation,[status(esa)],[f17])).
% 0.22/0.43  fof(f544,plain,(
% 0.22/0.43    ![B]: (p1(B,B,B)|(![C]: ~p0(C,B)))),
% 0.22/0.43    inference(miniscoping,[status(esa)],[f123])).
% 0.22/0.43  fof(f545,plain,(
% 0.22/0.43    ![X0,X1]: (p1(X0,X0,X0)|~p0(X1,X0))),
% 0.22/0.43    inference(cnf_transformation,[status(esa)],[f544])).
% 0.22/0.43  fof(f607,plain,(
% 0.22/0.43    ![X0]: (s1(X0)|~p0(X0,X0))),
% 0.22/0.43    inference(cnf_transformation,[status(esa)],[f163])).
% 0.22/0.43  fof(f608,plain,(
% 0.22/0.43    (![F]: (s1(F)|(![G]: ~q0(F,G))))|(![H]: ~s1(H))),
% 0.22/0.43    inference(miniscoping,[status(esa)],[f164])).
% 0.22/0.43  fof(f609,plain,(
% 0.22/0.43    ![X0,X1,X2]: (s1(X0)|~q0(X0,X1)|~s1(X2))),
% 0.22/0.43    inference(cnf_transformation,[status(esa)],[f608])).
% 0.22/0.43  fof(f626,plain,(
% 0.22/0.43    ![A]: (n2(A)|(![B,C]: ~p1(B,C,A)))),
% 0.22/0.43    inference(miniscoping,[status(esa)],[f175])).
% 0.22/0.43  fof(f627,plain,(
% 0.22/0.43    ![X0,X1,X2]: (n2(X0)|~p1(X1,X2,X0))),
% 0.22/0.43    inference(cnf_transformation,[status(esa)],[f626])).
% 0.22/0.43  fof(f735,plain,(
% 0.22/0.43    ![X0]: (k3(X0,X0,X0)|~n2(X0))),
% 0.22/0.43    inference(cnf_transformation,[status(esa)],[f248])).
% 0.22/0.43  fof(f853,plain,(
% 0.22/0.43    ![X0,X1]: (p4(X0,X1,X0)|~k3(X0,X0,X1))),
% 0.22/0.43    inference(cnf_transformation,[status(esa)],[f325])).
% 0.22/0.43  fof(f900,plain,(
% 0.22/0.43    (![H]: ((n5(H,H)|(![I]: ~p4(I,H,H)))|~s1(H)))|(![J]: ~p4(b,b,J))),
% 0.22/0.43    inference(miniscoping,[status(esa)],[f354])).
% 0.22/0.43  fof(f901,plain,(
% 0.22/0.43    ![X0,X1,X2]: (n5(X0,X0)|~p4(X1,X0,X0)|~s1(X0)|~p4(b,b,X2))),
% 0.22/0.43    inference(cnf_transformation,[status(esa)],[f900])).
% 0.22/0.43  fof(f924,plain,(
% 0.22/0.43    ![X0]: (~n5(X0,d))),
% 0.22/0.43    inference(cnf_transformation,[status(esa)],[f369])).
% 0.22/0.43  fof(f1304,plain,(
% 0.22/0.43    spl0_106 <=> s1(X0)|~q0(X0,X1)),
% 0.22/0.43    introduced(split_symbol_definition)).
% 0.22/0.43  fof(f1305,plain,(
% 0.22/0.43    ![X0,X1]: (s1(X0)|~q0(X0,X1)|~spl0_106)),
% 0.22/0.43    inference(component_clause,[status(thm)],[f1304])).
% 0.22/0.43  fof(f1307,plain,(
% 0.22/0.43    spl0_107 <=> ~s1(X2)),
% 0.22/0.43    introduced(split_symbol_definition)).
% 0.22/0.43  fof(f1308,plain,(
% 0.22/0.43    ![X0]: (~s1(X0)|~spl0_107)),
% 0.22/0.43    inference(component_clause,[status(thm)],[f1307])).
% 0.22/0.43  fof(f1310,plain,(
% 0.22/0.43    spl0_106|spl0_107),
% 0.22/0.43    inference(split_clause,[status(thm)],[f609,f1304,f1307])).
% 0.22/0.43  fof(f1956,plain,(
% 0.22/0.43    spl0_293 <=> n5(X0,X0)|~p4(X1,X0,X0)|~s1(X0)),
% 0.22/0.43    introduced(split_symbol_definition)).
% 0.22/0.43  fof(f1957,plain,(
% 0.22/0.43    ![X0,X1]: (n5(X0,X0)|~p4(X1,X0,X0)|~s1(X0)|~spl0_293)),
% 0.22/0.43    inference(component_clause,[status(thm)],[f1956])).
% 0.22/0.43  fof(f1959,plain,(
% 0.22/0.43    spl0_294 <=> ~p4(b,b,X2)),
% 0.22/0.43    introduced(split_symbol_definition)).
% 0.22/0.43  fof(f1960,plain,(
% 0.22/0.43    ![X0]: (~p4(b,b,X0)|~spl0_294)),
% 0.22/0.43    inference(component_clause,[status(thm)],[f1959])).
% 0.22/0.43  fof(f1962,plain,(
% 0.22/0.43    spl0_293|spl0_294),
% 0.22/0.43    inference(split_clause,[status(thm)],[f901,f1956,f1959])).
% 0.22/0.43  fof(f2001,plain,(
% 0.22/0.43    ![X0]: (~p0(X0,X0)|~spl0_107)),
% 0.22/0.43    inference(forward_subsumption_resolution,[status(thm)],[f607,f1308])).
% 0.22/0.43  fof(f2002,plain,(
% 0.22/0.43    $false|~spl0_107),
% 0.22/0.43    inference(resolution,[status(thm)],[f2001,f383])).
% 0.22/0.44  fof(f2003,plain,(
% 0.22/0.44    ~spl0_107),
% 0.22/0.44    inference(contradiction_clause,[status(thm)],[f2002])).
% 0.22/0.44  fof(f2112,plain,(
% 0.22/0.44    ![X0,X1]: (~p0(X0,X1)|n2(X1))),
% 0.22/0.44    inference(resolution,[status(thm)],[f545,f627])).
% 0.22/0.44  fof(f2114,plain,(
% 0.22/0.44    ![X0]: (n2(X0))),
% 0.22/0.44    inference(resolution,[status(thm)],[f2112,f383])).
% 0.22/0.44  fof(f2119,plain,(
% 0.22/0.44    ![X0]: (k3(X0,X0,X0))),
% 0.22/0.44    inference(backward_subsumption_resolution,[status(thm)],[f735,f2114])).
% 0.22/0.44  fof(f2146,plain,(
% 0.22/0.44    ![X0]: (s1(X0)|~spl0_106)),
% 0.22/0.44    inference(resolution,[status(thm)],[f1305,f386])).
% 0.22/0.44  fof(f2322,plain,(
% 0.22/0.44    ~k3(b,b,b)|~spl0_294),
% 0.22/0.44    inference(resolution,[status(thm)],[f1960,f853])).
% 0.22/0.44  fof(f2323,plain,(
% 0.22/0.44    $false|~spl0_294),
% 0.22/0.44    inference(forward_subsumption_resolution,[status(thm)],[f2322,f2119])).
% 0.22/0.44  fof(f2324,plain,(
% 0.22/0.44    ~spl0_294),
% 0.22/0.44    inference(contradiction_clause,[status(thm)],[f2323])).
% 0.22/0.44  fof(f2325,plain,(
% 0.22/0.44    ![X0,X1]: (n5(X0,X0)|~p4(X1,X0,X0)|~spl0_106|~spl0_293)),
% 0.22/0.44    inference(forward_subsumption_resolution,[status(thm)],[f1957,f2146])).
% 0.22/0.44  fof(f2328,plain,(
% 0.22/0.44    ![X0]: (n5(X0,X0)|~k3(X0,X0,X0)|~spl0_106|~spl0_293)),
% 0.22/0.44    inference(resolution,[status(thm)],[f2325,f853])).
% 0.22/0.44  fof(f2329,plain,(
% 0.22/0.44    ![X0]: (n5(X0,X0)|~spl0_106|~spl0_293)),
% 0.22/0.44    inference(forward_subsumption_resolution,[status(thm)],[f2328,f2119])).
% 0.22/0.44  fof(f2331,plain,(
% 0.22/0.44    $false|~spl0_106|~spl0_293),
% 0.22/0.44    inference(resolution,[status(thm)],[f2329,f924])).
% 0.22/0.44  fof(f2332,plain,(
% 0.22/0.44    ~spl0_106|~spl0_293),
% 0.22/0.44    inference(contradiction_clause,[status(thm)],[f2331])).
% 0.22/0.44  fof(f2333,plain,(
% 0.22/0.44    $false),
% 0.22/0.44    inference(sat_refutation,[status(thm)],[f1310,f1962,f2003,f2324,f2332])).
% 0.22/0.44  % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.44  % Elapsed time: 0.078977 seconds
% 0.22/0.44  % CPU time: 0.446973 seconds
% 0.22/0.44  % Total memory used: 52.924 MB
% 0.22/0.44  % Net memory used: 52.418 MB
%------------------------------------------------------------------------------