TSTP Solution File: SYN648-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN648-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 12:47:18 EDT 2023

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN648-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n005.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 10:27:21 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36  fof(f5,negated_conjecture,(
% 0.13/0.36    (![X65]: (p3(X65,X65) ))),
% 0.13/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f14,negated_conjecture,(
% 0.13/0.36    p2(c27,c30) ),
% 0.13/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f15,negated_conjecture,(
% 0.13/0.36    p26(c31,c30) ),
% 0.13/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f16,negated_conjecture,(
% 0.13/0.36    ~ p24(f4(c27,c28),c29) ),
% 0.13/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f30,negated_conjecture,(
% 0.13/0.36    (![X56,X57]: (( p24(f4(c30,X56),X57)| ~ p24(f4(f6(c32,c30),X56),X57) ) ))),
% 0.13/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f43,negated_conjecture,(
% 0.13/0.36    (![X52,X54,X55,X53]: (( p24(X52,c29)| ~ p3(X52,X54)| ~ p2(X55,X53)| ~ p26(c31,X53)| ~ p3(X54,f4(X55,c28))| ~ p24(f4(X53,f17(f19(f21(f23(c33,X52),X54),X55),X53)),f9(f11(f13(f15(c34,X52),X54),X55),X53)) ) ))),
% 0.13/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f44,negated_conjecture,(
% 0.13/0.36    (![X52,X53,X54,X55]: (( p24(X52,c29)| p24(f4(f6(c32,X53),f17(f19(f21(f23(c33,X52),X54),X55),X53)),f9(f11(f13(f15(c34,X52),X54),X55),X53))| ~ p3(X52,X54)| ~ p2(X55,X53)| ~ p26(c31,X53)| ~ p3(X54,f4(X55,c28)) ) ))),
% 0.13/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f49,plain,(
% 0.13/0.36    ![X0]: (p3(X0,X0))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.36  fof(f58,plain,(
% 0.13/0.36    p2(c27,c30)),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.36  fof(f59,plain,(
% 0.13/0.36    p26(c31,c30)),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f15])).
% 0.13/0.36  fof(f60,plain,(
% 0.13/0.36    ~p24(f4(c27,c28),c29)),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.36  fof(f87,plain,(
% 0.13/0.36    ![X0,X1]: (p24(f4(c30,X0),X1)|~p24(f4(f6(c32,c30),X0),X1))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f30])).
% 0.13/0.36  fof(f112,plain,(
% 0.13/0.36    ![X0,X1,X2,X3]: (p24(X0,c29)|~p3(X0,X1)|~p2(X2,X3)|~p26(c31,X3)|~p3(X1,f4(X2,c28))|~p24(f4(X3,f17(f19(f21(f23(c33,X0),X1),X2),X3)),f9(f11(f13(f15(c34,X0),X1),X2),X3)))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f43])).
% 0.13/0.36  fof(f113,plain,(
% 0.13/0.36    ![X54,X55]: ((![X53]: (((![X52]: ((p24(X52,c29)|p24(f4(f6(c32,X53),f17(f19(f21(f23(c33,X52),X54),X55),X53)),f9(f11(f13(f15(c34,X52),X54),X55),X53)))|~p3(X52,X54)))|~p2(X55,X53))|~p26(c31,X53)))|~p3(X54,f4(X55,c28)))),
% 0.13/0.36    inference(miniscoping,[status(esa)],[f44])).
% 0.13/0.36  fof(f114,plain,(
% 0.13/0.36    ![X0,X1,X2,X3]: (p24(X0,c29)|p24(f4(f6(c32,X1),f17(f19(f21(f23(c33,X0),X2),X3),X1)),f9(f11(f13(f15(c34,X0),X2),X3),X1))|~p3(X0,X2)|~p2(X3,X1)|~p26(c31,X1)|~p3(X2,f4(X3,c28)))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f113])).
% 0.13/0.36  fof(f115,plain,(
% 0.13/0.36    spl0_0 <=> p24(X0,c29)|~p3(X0,X1)|~p2(X2,c30)|~p3(X1,f4(X2,c28))|p24(f4(c30,f17(f19(f21(f23(c33,X0),X1),X2),c30)),f9(f11(f13(f15(c34,X0),X1),X2),c30))),
% 0.13/0.36    introduced(split_symbol_definition)).
% 0.13/0.36  fof(f116,plain,(
% 0.13/0.36    ![X0,X1,X2]: (p24(X0,c29)|~p3(X0,X1)|~p2(X2,c30)|~p3(X1,f4(X2,c28))|p24(f4(c30,f17(f19(f21(f23(c33,X0),X1),X2),c30)),f9(f11(f13(f15(c34,X0),X1),X2),c30))|~spl0_0)),
% 0.13/0.36    inference(component_clause,[status(thm)],[f115])).
% 0.13/0.36  fof(f118,plain,(
% 0.13/0.36    spl0_1 <=> p26(c31,c30)),
% 0.13/0.36    introduced(split_symbol_definition)).
% 0.13/0.36  fof(f120,plain,(
% 0.13/0.36    ~p26(c31,c30)|spl0_1),
% 0.13/0.36    inference(component_clause,[status(thm)],[f118])).
% 0.13/0.36  fof(f121,plain,(
% 0.13/0.36    ![X0,X1,X2]: (p24(X0,c29)|~p3(X0,X1)|~p2(X2,c30)|~p26(c31,c30)|~p3(X1,f4(X2,c28))|p24(f4(c30,f17(f19(f21(f23(c33,X0),X1),X2),c30)),f9(f11(f13(f15(c34,X0),X1),X2),c30)))),
% 0.13/0.36    inference(resolution,[status(thm)],[f114,f87])).
% 0.13/0.36  fof(f122,plain,(
% 0.13/0.36    spl0_0|~spl0_1),
% 0.13/0.36    inference(split_clause,[status(thm)],[f121,f115,f118])).
% 0.13/0.36  fof(f124,plain,(
% 0.13/0.36    $false|spl0_1),
% 0.13/0.36    inference(forward_subsumption_resolution,[status(thm)],[f120,f59])).
% 0.13/0.36  fof(f125,plain,(
% 0.13/0.36    spl0_1),
% 0.13/0.36    inference(contradiction_clause,[status(thm)],[f124])).
% 0.13/0.36  fof(f126,plain,(
% 0.13/0.36    spl0_2 <=> p24(X0,c29)|~p3(X0,X1)|~p2(X2,c30)|~p3(X1,f4(X2,c28))|p24(X0,c29)|~p3(X0,X1)|~p2(X2,c30)|~p3(X1,f4(X2,c28))),
% 0.13/0.36    introduced(split_symbol_definition)).
% 0.13/0.36  fof(f127,plain,(
% 0.13/0.36    ![X0,X1,X2]: (p24(X0,c29)|~p3(X0,X1)|~p2(X2,c30)|~p3(X1,f4(X2,c28))|p24(X0,c29)|~p3(X0,X1)|~p2(X2,c30)|~p3(X1,f4(X2,c28))|~spl0_2)),
% 0.13/0.36    inference(component_clause,[status(thm)],[f126])).
% 0.13/0.36  fof(f129,plain,(
% 0.13/0.36    ![X0,X1,X2]: (p24(X0,c29)|~p3(X0,X1)|~p2(X2,c30)|~p3(X1,f4(X2,c28))|p24(X0,c29)|~p3(X0,X1)|~p2(X2,c30)|~p26(c31,c30)|~p3(X1,f4(X2,c28))|~spl0_0)),
% 0.13/0.36    inference(resolution,[status(thm)],[f116,f112])).
% 0.13/0.36  fof(f130,plain,(
% 0.13/0.36    spl0_2|~spl0_1|~spl0_0),
% 0.13/0.36    inference(split_clause,[status(thm)],[f129,f126,f118,f115])).
% 0.13/0.36  fof(f132,plain,(
% 0.13/0.36    ![X0,X1,X2]: (p24(X0,c29)|~p3(X0,X1)|~p2(X2,c30)|~p3(X1,f4(X2,c28))|~spl0_2)),
% 0.13/0.36    inference(duplicate_literals_removal,[status(esa)],[f127])).
% 0.13/0.36  fof(f134,plain,(
% 0.13/0.36    ![X0,X1]: (~p3(f4(c27,c28),X0)|~p2(X1,c30)|~p3(X0,f4(X1,c28))|~spl0_2)),
% 0.13/0.36    inference(resolution,[status(thm)],[f132,f60])).
% 0.13/0.36  fof(f136,plain,(
% 0.13/0.36    ![X0]: (~p3(f4(c27,c28),X0)|~p3(X0,f4(c27,c28))|~spl0_2)),
% 0.13/0.36    inference(resolution,[status(thm)],[f134,f58])).
% 0.13/0.36  fof(f142,plain,(
% 0.13/0.36    ~p3(f4(c27,c28),f4(c27,c28))|~spl0_2),
% 0.13/0.36    inference(resolution,[status(thm)],[f136,f49])).
% 0.13/0.36  fof(f143,plain,(
% 0.13/0.36    $false|~spl0_2),
% 0.13/0.36    inference(forward_subsumption_resolution,[status(thm)],[f142,f49])).
% 0.13/0.36  fof(f144,plain,(
% 0.13/0.36    ~spl0_2),
% 0.13/0.36    inference(contradiction_clause,[status(thm)],[f143])).
% 0.13/0.36  fof(f145,plain,(
% 0.13/0.36    $false),
% 0.13/0.36    inference(sat_refutation,[status(thm)],[f122,f125,f130,f144])).
% 0.13/0.36  % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.57  % Elapsed time: 0.012250 seconds
% 0.20/0.57  % CPU time: 0.037089 seconds
% 0.20/0.57  % Memory used: 2.246 MB
%------------------------------------------------------------------------------