TSTP Solution File: SYN672-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN672-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.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 12:47:21 EDT 2023

% Result   : Unsatisfiable 0.06s 0.27s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SYN672-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25  % Computer : n015.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Tue May 30 10:42:49 EDT 2023
% 0.06/0.25  % CPUTime  : 
% 0.06/0.26  % Drodi V3.5.1
% 0.06/0.27  % Refutation found
% 0.06/0.27  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.27  % SZS output start CNFRefutation for theBenchmark
% 0.06/0.27  fof(f2,negated_conjecture,(
% 0.06/0.27    (![X105]: (p9(X105,X105) ))),
% 0.06/0.27    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.27  fof(f3,negated_conjecture,(
% 0.06/0.27    (![X98]: (p8(X98,X98) ))),
% 0.06/0.27    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.27  fof(f6,negated_conjecture,(
% 0.06/0.27    (![X62]: (p3(X62,X62) ))),
% 0.06/0.27    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.27  fof(f18,negated_conjecture,(
% 0.06/0.27    ~ p3(c40,f14(c38,c39)) ),
% 0.06/0.27    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.27  fof(f19,negated_conjecture,(
% 0.06/0.27    p31(f20(c36,c39),f17(c37,c40)) ),
% 0.06/0.27    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.27  fof(f37,negated_conjecture,(
% 0.06/0.27    (![X77,X78]: (p3(f4(f7(c34,X77),f14(c38,X78)),f14(X77,X78)) ))),
% 0.06/0.27    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.27  fof(f39,negated_conjecture,(
% 0.06/0.27    (![X82,X83,X85,X84]: (( p30(X82,X83)| ~ p30(X85,X84)| ~ p9(X85,X82)| ~ p3(X84,X83) ) ))),
% 0.06/0.27    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.27  fof(f40,negated_conjecture,(
% 0.06/0.27    ~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)) ),
% 0.06/0.27    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.27  fof(f42,negated_conjecture,(
% 0.06/0.27    (![X108,X109,X110,X111]: (( p9(f10(X108,X109),f10(X110,X111))| ~ p3(X109,X111)| ~ p8(X108,X110) ) ))),
% 0.06/0.27    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.27  fof(f53,negated_conjecture,(
% 0.06/0.27    (![X60,X61]: (( p3(X60,f14(c38,X61))| p30(f10(f12(c32,c33),f14(c38,X61)),X60)| ~ p31(f20(c36,X61),f17(c37,X60)) ) ))),
% 0.06/0.27    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.27  fof(f54,negated_conjecture,(
% 0.06/0.27    (![X86,X87]: (( p30(f10(f12(c32,c33),f4(f7(c34,c35),X86)),f4(f7(c34,c35),X87))| ~ p30(f10(f12(c32,c33),X86),X87) ) ))),
% 0.06/0.27    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.27  fof(f56,plain,(
% 0.06/0.27    ![X0]: (p9(X0,X0))),
% 0.06/0.27    inference(cnf_transformation,[status(esa)],[f2])).
% 0.06/0.27  fof(f57,plain,(
% 0.06/0.27    ![X0]: (p8(X0,X0))),
% 0.06/0.27    inference(cnf_transformation,[status(esa)],[f3])).
% 0.06/0.27  fof(f60,plain,(
% 0.06/0.27    ![X0]: (p3(X0,X0))),
% 0.06/0.27    inference(cnf_transformation,[status(esa)],[f6])).
% 0.06/0.27  fof(f72,plain,(
% 0.06/0.27    ~p3(c40,f14(c38,c39))),
% 0.06/0.27    inference(cnf_transformation,[status(esa)],[f18])).
% 0.06/0.27  fof(f73,plain,(
% 0.06/0.27    p31(f20(c36,c39),f17(c37,c40))),
% 0.06/0.27    inference(cnf_transformation,[status(esa)],[f19])).
% 0.06/0.27  fof(f108,plain,(
% 0.06/0.27    ![X0,X1]: (p3(f4(f7(c34,X0),f14(c38,X1)),f14(X0,X1)))),
% 0.06/0.27    inference(cnf_transformation,[status(esa)],[f37])).
% 0.06/0.27  fof(f111,plain,(
% 0.06/0.27    ![X83,X84]: ((![X82,X85]: ((p30(X82,X83)|~p30(X85,X84))|~p9(X85,X82)))|~p3(X84,X83))),
% 0.06/0.27    inference(miniscoping,[status(esa)],[f39])).
% 0.06/0.27  fof(f112,plain,(
% 0.06/0.27    ![X0,X1,X2,X3]: (p30(X0,X1)|~p30(X2,X3)|~p9(X2,X0)|~p3(X3,X1))),
% 0.06/0.27    inference(cnf_transformation,[status(esa)],[f111])).
% 0.06/0.27  fof(f113,plain,(
% 0.06/0.27    ~p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40))),
% 0.06/0.27    inference(cnf_transformation,[status(esa)],[f40])).
% 0.06/0.27  fof(f116,plain,(
% 0.06/0.27    ![X108,X110]: ((![X109,X111]: (p9(f10(X108,X109),f10(X110,X111))|~p3(X109,X111)))|~p8(X108,X110))),
% 0.06/0.27    inference(miniscoping,[status(esa)],[f42])).
% 0.06/0.27  fof(f117,plain,(
% 0.06/0.27    ![X0,X1,X2,X3]: (p9(f10(X0,X1),f10(X2,X3))|~p3(X1,X3)|~p8(X0,X2))),
% 0.06/0.27    inference(cnf_transformation,[status(esa)],[f116])).
% 0.06/0.27  fof(f137,plain,(
% 0.06/0.27    ![X0,X1]: (p3(X0,f14(c38,X1))|p30(f10(f12(c32,c33),f14(c38,X1)),X0)|~p31(f20(c36,X1),f17(c37,X0)))),
% 0.06/0.27    inference(cnf_transformation,[status(esa)],[f53])).
% 0.06/0.27  fof(f138,plain,(
% 0.06/0.27    ![X0,X1]: (p30(f10(f12(c32,c33),f4(f7(c34,c35),X0)),f4(f7(c34,c35),X1))|~p30(f10(f12(c32,c33),X0),X1))),
% 0.06/0.27    inference(cnf_transformation,[status(esa)],[f54])).
% 0.06/0.27  fof(f226,plain,(
% 0.06/0.27    ![X0,X1,X2,X3]: (p3(X0,f14(c38,X1))|~p31(f20(c36,X1),f17(c37,X0))|p30(X2,X3)|~p9(f10(f12(c32,c33),f14(c38,X1)),X2)|~p3(X0,X3))),
% 0.06/0.27    inference(resolution,[status(thm)],[f137,f112])).
% 0.06/0.27  fof(f227,plain,(
% 0.06/0.27    ![X0,X1,X2,X3]: (~p30(f10(f12(c32,c33),X0),X1)|p30(X2,X3)|~p9(f10(f12(c32,c33),f4(f7(c34,c35),X0)),X2)|~p3(f4(f7(c34,c35),X1),X3))),
% 0.06/0.27    inference(resolution,[status(thm)],[f138,f112])).
% 0.06/0.27  fof(f419,plain,(
% 0.06/0.27    spl0_0 <=> p3(c40,f14(c38,c39))),
% 0.06/0.27    introduced(split_symbol_definition)).
% 0.06/0.27  fof(f420,plain,(
% 0.06/0.27    p3(c40,f14(c38,c39))|~spl0_0),
% 0.06/0.28    inference(component_clause,[status(thm)],[f419])).
% 0.06/0.28  fof(f422,plain,(
% 0.06/0.28    spl0_1 <=> p30(X0,X1)|~p9(f10(f12(c32,c33),f14(c38,c39)),X0)|~p3(c40,X1)),
% 0.06/0.28    introduced(split_symbol_definition)).
% 0.06/0.28  fof(f423,plain,(
% 0.06/0.28    ![X0,X1]: (p30(X0,X1)|~p9(f10(f12(c32,c33),f14(c38,c39)),X0)|~p3(c40,X1)|~spl0_1)),
% 0.06/0.28    inference(component_clause,[status(thm)],[f422])).
% 0.06/0.28  fof(f425,plain,(
% 0.06/0.28    ![X0,X1]: (p3(c40,f14(c38,c39))|p30(X0,X1)|~p9(f10(f12(c32,c33),f14(c38,c39)),X0)|~p3(c40,X1))),
% 0.06/0.28    inference(resolution,[status(thm)],[f226,f73])).
% 0.06/0.28  fof(f426,plain,(
% 0.06/0.28    spl0_0|spl0_1),
% 0.06/0.28    inference(split_clause,[status(thm)],[f425,f419,f422])).
% 0.06/0.28  fof(f428,plain,(
% 0.06/0.28    $false|~spl0_0),
% 0.06/0.28    inference(forward_subsumption_resolution,[status(thm)],[f420,f72])).
% 0.06/0.28  fof(f429,plain,(
% 0.06/0.28    ~spl0_0),
% 0.06/0.28    inference(contradiction_clause,[status(thm)],[f428])).
% 0.06/0.28  fof(f432,plain,(
% 0.06/0.28    ![X0]: (p30(X0,c40)|~p9(f10(f12(c32,c33),f14(c38,c39)),X0)|~spl0_1)),
% 0.06/0.28    inference(resolution,[status(thm)],[f423,f60])).
% 0.06/0.28  fof(f433,plain,(
% 0.06/0.28    ![X0,X1,X2]: (~p9(f10(f12(c32,c33),f14(c38,c39)),f10(f12(c32,c33),X0))|p30(X1,X2)|~p9(f10(f12(c32,c33),f4(f7(c34,c35),X0)),X1)|~p3(f4(f7(c34,c35),c40),X2)|~spl0_1)),
% 0.06/0.28    inference(resolution,[status(thm)],[f432,f227])).
% 0.06/0.28  fof(f439,plain,(
% 0.06/0.28    ![X0,X1]: (~p9(f10(f12(c32,c33),f14(c38,c39)),f10(f12(c32,c33),X0))|p30(X1,f4(f7(c34,c35),c40))|~p9(f10(f12(c32,c33),f4(f7(c34,c35),X0)),X1)|~spl0_1)),
% 0.06/0.28    inference(resolution,[status(thm)],[f433,f60])).
% 0.06/0.28  fof(f458,plain,(
% 0.06/0.28    spl0_3 <=> p8(f12(c32,c33),f12(c32,c33))),
% 0.06/0.28    introduced(split_symbol_definition)).
% 0.06/0.28  fof(f460,plain,(
% 0.06/0.28    ~p8(f12(c32,c33),f12(c32,c33))|spl0_3),
% 0.06/0.28    inference(component_clause,[status(thm)],[f458])).
% 0.06/0.28  fof(f464,plain,(
% 0.06/0.28    ![X0]: (p30(X0,f4(f7(c34,c35),c40))|~p9(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),X0)|~spl0_1)),
% 0.06/0.28    inference(resolution,[status(thm)],[f439,f56])).
% 0.06/0.28  fof(f465,plain,(
% 0.06/0.28    $false|spl0_3),
% 0.06/0.28    inference(forward_subsumption_resolution,[status(thm)],[f460,f57])).
% 0.06/0.28  fof(f466,plain,(
% 0.06/0.28    spl0_3),
% 0.06/0.28    inference(contradiction_clause,[status(thm)],[f465])).
% 0.06/0.28  fof(f468,plain,(
% 0.06/0.28    ~p9(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f10(f12(c32,c33),f14(c35,c39)))|~spl0_1),
% 0.06/0.28    inference(resolution,[status(thm)],[f464,f113])).
% 0.06/0.28  fof(f471,plain,(
% 0.06/0.28    spl0_4 <=> p3(f4(f7(c34,c35),f14(c38,c39)),f14(c35,c39))),
% 0.06/0.28    introduced(split_symbol_definition)).
% 0.06/0.28  fof(f473,plain,(
% 0.06/0.28    ~p3(f4(f7(c34,c35),f14(c38,c39)),f14(c35,c39))|spl0_4),
% 0.06/0.28    inference(component_clause,[status(thm)],[f471])).
% 0.06/0.28  fof(f474,plain,(
% 0.06/0.28    ~p3(f4(f7(c34,c35),f14(c38,c39)),f14(c35,c39))|~p8(f12(c32,c33),f12(c32,c33))|~spl0_1),
% 0.06/0.28    inference(resolution,[status(thm)],[f468,f117])).
% 0.06/0.28  fof(f475,plain,(
% 0.06/0.28    ~spl0_4|~spl0_3|~spl0_1),
% 0.06/0.28    inference(split_clause,[status(thm)],[f474,f471,f458,f422])).
% 0.06/0.28  fof(f477,plain,(
% 0.06/0.28    $false|spl0_4),
% 0.06/0.28    inference(forward_subsumption_resolution,[status(thm)],[f473,f108])).
% 0.06/0.28  fof(f478,plain,(
% 0.06/0.28    spl0_4),
% 0.06/0.28    inference(contradiction_clause,[status(thm)],[f477])).
% 0.06/0.28  fof(f479,plain,(
% 0.06/0.28    $false),
% 0.06/0.28    inference(sat_refutation,[status(thm)],[f426,f429,f466,f475,f478])).
% 0.06/0.28  % SZS output end CNFRefutation for theBenchmark.p
% 0.06/0.28  % Elapsed time: 0.023938 seconds
% 0.06/0.28  % CPU time: 0.099406 seconds
% 0.06/0.28  % Memory used: 3.575 MB
%------------------------------------------------------------------------------