TSTP Solution File: SYN717-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN717-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 12:47:28 EDT 2023

% Result   : Unsatisfiable 0.10s 0.36s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN717-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n019.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Tue May 30 10:31:10 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.33  % Drodi V3.5.1
% 0.10/0.36  % Refutation found
% 0.10/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.36  % SZS output start CNFRefutation for theBenchmark
% 0.10/0.36  fof(f20,negated_conjecture,(
% 0.10/0.36    (![X103]: (p32(X103,X103) ))),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f22,negated_conjecture,(
% 0.10/0.36    (![X89]: (p3(X89,X89) ))),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f25,negated_conjecture,(
% 0.10/0.36    (![X72]: (p26(X72,X72) ))),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f27,negated_conjecture,(
% 0.10/0.36    (![X58]: (p23(X58,X58) ))),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f31,negated_conjecture,(
% 0.10/0.36    (![X27]: (p19(X27,X27) ))),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f36,negated_conjecture,(
% 0.10/0.36    p23(c79,c77) ),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f42,negated_conjecture,(
% 0.10/0.36    p60(f25(c75,c79),f21(c76,c78)) ),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f44,negated_conjecture,(
% 0.10/0.36    p59(f29(c73,f31(f33(c74,c77),c78)),c72) ),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f72,negated_conjecture,(
% 0.10/0.36    (![X59,X60,X58]: (( p23(X59,X60)| ~ p23(X58,X59)| ~ p23(X58,X60) ) ))),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f83,negated_conjecture,(
% 0.10/0.36    (![X179,X180,X182,X181]: (( p59(X179,X180)| ~ p3(X182,X180)| ~ p59(X181,X182)| ~ p28(X181,X179) ) ))),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f95,negated_conjecture,(
% 0.10/0.36    (![X78,X79,X80,X81]: (( p27(f31(X78,X79),f31(X80,X81))| ~ p19(X79,X81)| ~ p30(X78,X80) ) ))),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f96,negated_conjecture,(
% 0.10/0.36    (![X85,X86,X87,X88]: (( p28(f29(X85,X86),f29(X87,X88))| ~ p26(X85,X87)| ~ p27(X86,X88) ) ))),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f98,negated_conjecture,(
% 0.10/0.36    (![X99,X100,X101,X102]: (( p30(f33(X99,X100),f33(X101,X102))| ~ p23(X100,X102)| ~ p32(X99,X101) ) ))),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f107,negated_conjecture,(
% 0.10/0.36    (![X209,X212,X211,X210]: (( ~ p60(f25(c75,X209),f21(c76,X212))| ~ p59(f29(c73,f31(f33(c74,X211),X212)),c72)| ~ p59(f29(c73,f31(f33(c74,X209),X210)),c72) ) ))),
% 0.10/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.36  fof(f133,plain,(
% 0.10/0.36    ![X0]: (p32(X0,X0))),
% 0.10/0.36    inference(cnf_transformation,[status(esa)],[f20])).
% 0.10/0.36  fof(f135,plain,(
% 0.10/0.36    ![X0]: (p3(X0,X0))),
% 0.10/0.36    inference(cnf_transformation,[status(esa)],[f22])).
% 0.10/0.36  fof(f138,plain,(
% 0.10/0.36    ![X0]: (p26(X0,X0))),
% 0.10/0.36    inference(cnf_transformation,[status(esa)],[f25])).
% 0.10/0.36  fof(f140,plain,(
% 0.10/0.36    ![X0]: (p23(X0,X0))),
% 0.10/0.36    inference(cnf_transformation,[status(esa)],[f27])).
% 0.10/0.36  fof(f144,plain,(
% 0.10/0.36    ![X0]: (p19(X0,X0))),
% 0.10/0.36    inference(cnf_transformation,[status(esa)],[f31])).
% 0.10/0.36  fof(f149,plain,(
% 0.10/0.36    p23(c79,c77)),
% 0.10/0.36    inference(cnf_transformation,[status(esa)],[f36])).
% 0.10/0.36  fof(f155,plain,(
% 0.10/0.36    p60(f25(c75,c79),f21(c76,c78))),
% 0.10/0.36    inference(cnf_transformation,[status(esa)],[f42])).
% 0.10/0.36  fof(f157,plain,(
% 0.10/0.36    p59(f29(c73,f31(f33(c74,c77),c78)),c72)),
% 0.10/0.36    inference(cnf_transformation,[status(esa)],[f44])).
% 0.10/0.36  fof(f211,plain,(
% 0.10/0.36    ![X60,X58]: ((![X59]: (p23(X59,X60)|~p23(X58,X59)))|~p23(X58,X60))),
% 0.10/0.36    inference(miniscoping,[status(esa)],[f72])).
% 0.10/0.36  fof(f212,plain,(
% 0.10/0.36    ![X0,X1,X2]: (p23(X0,X1)|~p23(X2,X0)|~p23(X2,X1))),
% 0.10/0.36    inference(cnf_transformation,[status(esa)],[f211])).
% 0.10/0.36  fof(f232,plain,(
% 0.10/0.36    ![X179,X181]: ((![X182]: ((![X180]: (p59(X179,X180)|~p3(X182,X180)))|~p59(X181,X182)))|~p28(X181,X179))),
% 0.10/0.36    inference(miniscoping,[status(esa)],[f83])).
% 0.10/0.36  fof(f233,plain,(
% 0.10/0.36    ![X0,X1,X2,X3]: (p59(X0,X1)|~p3(X2,X1)|~p59(X3,X2)|~p28(X3,X0))),
% 0.10/0.36    inference(cnf_transformation,[status(esa)],[f232])).
% 0.10/0.36  fof(f256,plain,(
% 0.10/0.36    ![X78,X80]: ((![X79,X81]: (p27(f31(X78,X79),f31(X80,X81))|~p19(X79,X81)))|~p30(X78,X80))),
% 0.10/0.36    inference(miniscoping,[status(esa)],[f95])).
% 0.10/0.36  fof(f257,plain,(
% 0.10/0.36    ![X0,X1,X2,X3]: (p27(f31(X0,X1),f31(X2,X3))|~p19(X1,X3)|~p30(X0,X2))),
% 0.10/0.36    inference(cnf_transformation,[status(esa)],[f256])).
% 0.10/0.36  fof(f258,plain,(
% 0.10/0.36    ![X86,X88]: ((![X85,X87]: (p28(f29(X85,X86),f29(X87,X88))|~p26(X85,X87)))|~p27(X86,X88))),
% 0.10/0.36    inference(miniscoping,[status(esa)],[f96])).
% 0.16/0.36  fof(f259,plain,(
% 0.16/0.36    ![X0,X1,X2,X3]: (p28(f29(X0,X1),f29(X2,X3))|~p26(X0,X2)|~p27(X1,X3))),
% 0.16/0.36    inference(cnf_transformation,[status(esa)],[f258])).
% 0.16/0.36  fof(f262,plain,(
% 0.16/0.36    ![X99,X101]: ((![X100,X102]: (p30(f33(X99,X100),f33(X101,X102))|~p23(X100,X102)))|~p32(X99,X101))),
% 0.16/0.36    inference(miniscoping,[status(esa)],[f98])).
% 0.16/0.36  fof(f263,plain,(
% 0.16/0.36    ![X0,X1,X2,X3]: (p30(f33(X0,X1),f33(X2,X3))|~p23(X1,X3)|~p32(X0,X2))),
% 0.16/0.36    inference(cnf_transformation,[status(esa)],[f262])).
% 0.16/0.36  fof(f280,plain,(
% 0.16/0.36    ![X209]: ((![X212]: (~p60(f25(c75,X209),f21(c76,X212))|(![X211]: ~p59(f29(c73,f31(f33(c74,X211),X212)),c72))))|(![X210]: ~p59(f29(c73,f31(f33(c74,X209),X210)),c72)))),
% 0.16/0.36    inference(miniscoping,[status(esa)],[f107])).
% 0.16/0.36  fof(f281,plain,(
% 0.16/0.36    ![X0,X1,X2,X3]: (~p60(f25(c75,X0),f21(c76,X1))|~p59(f29(c73,f31(f33(c74,X2),X1)),c72)|~p59(f29(c73,f31(f33(c74,X0),X3)),c72))),
% 0.16/0.36    inference(cnf_transformation,[status(esa)],[f280])).
% 0.16/0.36  fof(f294,plain,(
% 0.16/0.36    spl0_0 <=> ~p59(f29(c73,f31(f33(c74,X0),c78)),c72)),
% 0.16/0.36    introduced(split_symbol_definition)).
% 0.16/0.36  fof(f295,plain,(
% 0.16/0.36    ![X0]: (~p59(f29(c73,f31(f33(c74,X0),c78)),c72)|~spl0_0)),
% 0.16/0.36    inference(component_clause,[status(thm)],[f294])).
% 0.16/0.36  fof(f297,plain,(
% 0.16/0.36    spl0_1 <=> ~p59(f29(c73,f31(f33(c74,c79),X1)),c72)),
% 0.16/0.36    introduced(split_symbol_definition)).
% 0.16/0.36  fof(f298,plain,(
% 0.16/0.36    ![X0]: (~p59(f29(c73,f31(f33(c74,c79),X0)),c72)|~spl0_1)),
% 0.16/0.36    inference(component_clause,[status(thm)],[f297])).
% 0.16/0.36  fof(f300,plain,(
% 0.16/0.36    ![X0,X1]: (~p59(f29(c73,f31(f33(c74,X0),c78)),c72)|~p59(f29(c73,f31(f33(c74,c79),X1)),c72))),
% 0.16/0.36    inference(resolution,[status(thm)],[f281,f155])).
% 0.16/0.36  fof(f301,plain,(
% 0.16/0.36    spl0_0|spl0_1),
% 0.16/0.36    inference(split_clause,[status(thm)],[f300,f294,f297])).
% 0.16/0.36  fof(f302,plain,(
% 0.16/0.36    $false|~spl0_0),
% 0.16/0.36    inference(backward_subsumption_resolution,[status(thm)],[f157,f295])).
% 0.16/0.36  fof(f303,plain,(
% 0.16/0.36    ~spl0_0),
% 0.16/0.36    inference(contradiction_clause,[status(thm)],[f302])).
% 0.16/0.36  fof(f304,plain,(
% 0.16/0.36    ![X0,X1,X2]: (~p3(X0,c72)|~p59(X1,X0)|~p28(X1,f29(c73,f31(f33(c74,c79),X2)))|~spl0_1)),
% 0.16/0.36    inference(resolution,[status(thm)],[f298,f233])).
% 0.16/0.36  fof(f319,plain,(
% 0.16/0.36    ![X0,X1]: (~p59(X0,c72)|~p28(X0,f29(c73,f31(f33(c74,c79),X1)))|~spl0_1)),
% 0.16/0.36    inference(resolution,[status(thm)],[f304,f135])).
% 0.16/0.36  fof(f320,plain,(
% 0.16/0.36    ![X0]: (~p28(f29(c73,f31(f33(c74,c77),c78)),f29(c73,f31(f33(c74,c79),X0)))|~spl0_1)),
% 0.16/0.36    inference(resolution,[status(thm)],[f319,f157])).
% 0.16/0.36  fof(f339,plain,(
% 0.16/0.36    spl0_5 <=> p23(c79,c77)),
% 0.16/0.36    introduced(split_symbol_definition)).
% 0.16/0.36  fof(f341,plain,(
% 0.16/0.36    ~p23(c79,c77)|spl0_5),
% 0.16/0.36    inference(component_clause,[status(thm)],[f339])).
% 0.16/0.36  fof(f345,plain,(
% 0.16/0.36    $false|spl0_5),
% 0.16/0.36    inference(forward_subsumption_resolution,[status(thm)],[f341,f149])).
% 0.16/0.36  fof(f346,plain,(
% 0.16/0.36    spl0_5),
% 0.16/0.36    inference(contradiction_clause,[status(thm)],[f345])).
% 0.16/0.36  fof(f355,plain,(
% 0.16/0.36    spl0_6 <=> p26(c73,c73)),
% 0.16/0.36    introduced(split_symbol_definition)).
% 0.16/0.36  fof(f357,plain,(
% 0.16/0.36    ~p26(c73,c73)|spl0_6),
% 0.16/0.36    inference(component_clause,[status(thm)],[f355])).
% 0.16/0.36  fof(f358,plain,(
% 0.16/0.36    spl0_7 <=> ~p27(f31(f33(c74,c77),c78),f31(f33(c74,c79),X0))),
% 0.16/0.36    introduced(split_symbol_definition)).
% 0.16/0.36  fof(f359,plain,(
% 0.16/0.36    ![X0]: (~p27(f31(f33(c74,c77),c78),f31(f33(c74,c79),X0))|~spl0_7)),
% 0.16/0.36    inference(component_clause,[status(thm)],[f358])).
% 0.16/0.36  fof(f361,plain,(
% 0.16/0.36    ![X0]: (~p26(c73,c73)|~p27(f31(f33(c74,c77),c78),f31(f33(c74,c79),X0))|~spl0_1)),
% 0.16/0.36    inference(resolution,[status(thm)],[f320,f259])).
% 0.16/0.36  fof(f362,plain,(
% 0.16/0.36    ~spl0_6|spl0_7|~spl0_1),
% 0.16/0.36    inference(split_clause,[status(thm)],[f361,f355,f358,f297])).
% 0.16/0.36  fof(f364,plain,(
% 0.16/0.36    $false|spl0_6),
% 0.16/0.36    inference(forward_subsumption_resolution,[status(thm)],[f357,f138])).
% 0.16/0.36  fof(f365,plain,(
% 0.16/0.36    spl0_6),
% 0.16/0.36    inference(contradiction_clause,[status(thm)],[f364])).
% 0.16/0.36  fof(f366,plain,(
% 0.16/0.36    spl0_8 <=> ~p19(c78,X0)),
% 0.16/0.36    introduced(split_symbol_definition)).
% 0.16/0.36  fof(f367,plain,(
% 0.16/0.36    ![X0]: (~p19(c78,X0)|~spl0_8)),
% 0.16/0.36    inference(component_clause,[status(thm)],[f366])).
% 0.16/0.36  fof(f369,plain,(
% 0.16/0.36    spl0_9 <=> p30(f33(c74,c77),f33(c74,c79))),
% 0.16/0.36    introduced(split_symbol_definition)).
% 0.16/0.36  fof(f371,plain,(
% 0.16/0.36    ~p30(f33(c74,c77),f33(c74,c79))|spl0_9),
% 0.16/0.36    inference(component_clause,[status(thm)],[f369])).
% 0.16/0.36  fof(f372,plain,(
% 0.16/0.36    ![X0]: (~p19(c78,X0)|~p30(f33(c74,c77),f33(c74,c79))|~spl0_7)),
% 0.16/0.36    inference(resolution,[status(thm)],[f359,f257])).
% 0.16/0.36  fof(f373,plain,(
% 0.16/0.36    spl0_8|~spl0_9|~spl0_7),
% 0.16/0.36    inference(split_clause,[status(thm)],[f372,f366,f369,f358])).
% 0.16/0.36  fof(f375,plain,(
% 0.16/0.36    spl0_10 <=> p23(c77,c79)),
% 0.16/0.36    introduced(split_symbol_definition)).
% 0.16/0.36  fof(f377,plain,(
% 0.16/0.36    ~p23(c77,c79)|spl0_10),
% 0.16/0.36    inference(component_clause,[status(thm)],[f375])).
% 0.16/0.36  fof(f378,plain,(
% 0.16/0.36    spl0_11 <=> p32(c74,c74)),
% 0.16/0.36    introduced(split_symbol_definition)).
% 0.16/0.36  fof(f380,plain,(
% 0.16/0.36    ~p32(c74,c74)|spl0_11),
% 0.16/0.36    inference(component_clause,[status(thm)],[f378])).
% 0.16/0.36  fof(f381,plain,(
% 0.16/0.36    ~p23(c77,c79)|~p32(c74,c74)|spl0_9),
% 0.16/0.36    inference(resolution,[status(thm)],[f371,f263])).
% 0.16/0.36  fof(f382,plain,(
% 0.16/0.36    ~spl0_10|~spl0_11|spl0_9),
% 0.16/0.36    inference(split_clause,[status(thm)],[f381,f375,f378,f369])).
% 0.16/0.36  fof(f384,plain,(
% 0.16/0.36    $false|spl0_11),
% 0.16/0.36    inference(forward_subsumption_resolution,[status(thm)],[f380,f133])).
% 0.16/0.36  fof(f385,plain,(
% 0.16/0.36    spl0_11),
% 0.16/0.36    inference(contradiction_clause,[status(thm)],[f384])).
% 0.16/0.36  fof(f387,plain,(
% 0.16/0.36    $false|~spl0_8),
% 0.16/0.36    inference(resolution,[status(thm)],[f367,f144])).
% 0.16/0.36  fof(f388,plain,(
% 0.16/0.36    ~spl0_8),
% 0.16/0.36    inference(contradiction_clause,[status(thm)],[f387])).
% 0.16/0.36  fof(f389,plain,(
% 0.16/0.36    ![X0]: (~p23(X0,c77)|~p23(X0,c79)|spl0_10)),
% 0.16/0.36    inference(resolution,[status(thm)],[f377,f212])).
% 0.16/0.36  fof(f391,plain,(
% 0.16/0.36    ~p23(c79,c77)|spl0_10),
% 0.16/0.36    inference(resolution,[status(thm)],[f389,f140])).
% 0.16/0.36  fof(f392,plain,(
% 0.16/0.36    ~spl0_5|spl0_10),
% 0.16/0.36    inference(split_clause,[status(thm)],[f391,f339,f375])).
% 0.16/0.36  fof(f393,plain,(
% 0.16/0.36    $false),
% 0.16/0.36    inference(sat_refutation,[status(thm)],[f301,f303,f346,f362,f365,f373,f382,f385,f388,f392])).
% 0.16/0.36  % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.59  % Elapsed time: 0.045731 seconds
% 0.20/0.59  % CPU time: 0.070847 seconds
% 0.20/0.59  % Memory used: 2.899 MB
%------------------------------------------------------------------------------