TSTP Solution File: SYN631-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN631-1 : 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 12:47:16 EDT 2023

% Result   : Unsatisfiable 0.15s 0.47s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYN631-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.12  % 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 10:25:10 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.33  % Drodi V3.5.1
% 0.15/0.47  % Refutation found
% 0.15/0.47  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.47  % SZS output start CNFRefutation for theBenchmark
% 0.15/0.47  fof(f1,negated_conjecture,(
% 0.15/0.47    (![X0]: (p10(X0,X0) ))),
% 0.15/0.47    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f5,negated_conjecture,(
% 0.15/0.47    (![X37]: (p5(X37,X37) ))),
% 0.15/0.47    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f11,negated_conjecture,(
% 0.15/0.47    (![X44,X45]: (p5(f16(f18(X44,X45)),X45) ))),
% 0.15/0.47    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f12,negated_conjecture,(
% 0.15/0.47    p23(f13(c27,f14(c28)),f11(f15(c24))) ),
% 0.15/0.47    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f13,negated_conjecture,(
% 0.15/0.47    ~ p23(f13(f16(c27),f14(c28)),f11(c24)) ),
% 0.15/0.47    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f18,negated_conjecture,(
% 0.15/0.47    (![X42,X43]: (( p5(f16(X42),f16(X43))| ~ p5(X42,X43) ) ))),
% 0.15/0.47    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f25,negated_conjecture,(
% 0.15/0.47    (![X38,X39,X37]: (( p5(X38,X39)| ~ p5(X37,X38)| ~ p5(X37,X39) ) ))),
% 0.15/0.47    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f29,negated_conjecture,(
% 0.15/0.47    (![X25,X26,X28,X27]: (( p23(X25,X26)| ~ p12(X28,X25)| ~ p23(X28,X27)| ~ p10(X27,X26) ) ))),
% 0.15/0.47    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f32,negated_conjecture,(
% 0.15/0.47    (![X8,X9,X10,X11]: (( p12(f13(X8,X9),f13(X10,X11))| ~ p5(X8,X10)| ~ p5(X9,X11) ) ))),
% 0.15/0.47    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f34,negated_conjecture,(
% 0.15/0.47    (![X30,X29,X31]: (( p5(X30,f18(f20(c29),f19(X29,X30,X31)))| ~ p23(f13(X30,X31),f11(f15(X29))) ) ))),
% 0.15/0.47    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f35,negated_conjecture,(
% 0.15/0.47    (![X29,X30,X31]: (( p23(f13(f19(X29,X30,X31),X31),f11(X29))| ~ p23(f13(X30,X31),f11(f15(X29))) ) ))),
% 0.15/0.47    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f39,plain,(
% 0.15/0.47    ![X0]: (p10(X0,X0))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f1])).
% 0.15/0.47  fof(f43,plain,(
% 0.15/0.47    ![X0]: (p5(X0,X0))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f5])).
% 0.15/0.47  fof(f49,plain,(
% 0.15/0.47    ![X0,X1]: (p5(f16(f18(X0,X1)),X1))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f11])).
% 0.15/0.47  fof(f50,plain,(
% 0.15/0.47    p23(f13(c27,f14(c28)),f11(f15(c24)))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.47  fof(f51,plain,(
% 0.15/0.47    ~p23(f13(f16(c27),f14(c28)),f11(c24))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f13])).
% 0.15/0.47  fof(f56,plain,(
% 0.15/0.47    ![X0,X1]: (p5(f16(X0),f16(X1))|~p5(X0,X1))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f18])).
% 0.15/0.47  fof(f67,plain,(
% 0.15/0.47    ![X39,X37]: ((![X38]: (p5(X38,X39)|~p5(X37,X38)))|~p5(X37,X39))),
% 0.15/0.47    inference(miniscoping,[status(esa)],[f25])).
% 0.15/0.47  fof(f68,plain,(
% 0.15/0.47    ![X0,X1,X2]: (p5(X0,X1)|~p5(X2,X0)|~p5(X2,X1))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f67])).
% 0.15/0.47  fof(f75,plain,(
% 0.15/0.47    ![X26,X27]: ((![X28]: ((![X25]: (p23(X25,X26)|~p12(X28,X25)))|~p23(X28,X27)))|~p10(X27,X26))),
% 0.15/0.47    inference(miniscoping,[status(esa)],[f29])).
% 0.15/0.47  fof(f76,plain,(
% 0.15/0.47    ![X0,X1,X2,X3]: (p23(X0,X1)|~p12(X2,X0)|~p23(X2,X3)|~p10(X3,X1))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f75])).
% 0.15/0.47  fof(f81,plain,(
% 0.15/0.47    ![X9,X11]: ((![X8,X10]: (p12(f13(X8,X9),f13(X10,X11))|~p5(X8,X10)))|~p5(X9,X11))),
% 0.15/0.47    inference(miniscoping,[status(esa)],[f32])).
% 0.15/0.47  fof(f82,plain,(
% 0.15/0.47    ![X0,X1,X2,X3]: (p12(f13(X0,X1),f13(X2,X3))|~p5(X0,X2)|~p5(X1,X3))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f81])).
% 0.15/0.47  fof(f85,plain,(
% 0.15/0.47    ![X0,X1,X2]: (p5(X0,f18(f20(c29),f19(X1,X0,X2)))|~p23(f13(X0,X2),f11(f15(X1))))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f34])).
% 0.15/0.47  fof(f86,plain,(
% 0.15/0.47    ![X0,X1,X2]: (p23(f13(f19(X0,X1,X2),X2),f11(X0))|~p23(f13(X1,X2),f11(f15(X0))))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f35])).
% 0.15/0.47  fof(f92,plain,(
% 0.15/0.47    ![X0,X1]: (~p12(X0,f13(f16(c27),f14(c28)))|~p23(X0,X1)|~p10(X1,f11(c24)))),
% 0.15/0.47    inference(resolution,[status(thm)],[f51,f76])).
% 0.15/0.47  fof(f96,plain,(
% 0.15/0.47    ![X0,X1,X2]: (~p5(X0,f16(c27))|~p5(X1,f14(c28))|~p23(f13(X0,X1),X2)|~p10(X2,f11(c24)))),
% 0.15/0.47    inference(resolution,[status(thm)],[f82,f92])).
% 0.15/0.47  fof(f178,plain,(
% 0.15/0.47    ![X0,X1]: (~p5(X0,f16(c27))|~p5(X1,f14(c28))|~p23(f13(X0,X1),f11(c24)))),
% 0.15/0.47    inference(resolution,[status(thm)],[f96,f39])).
% 0.15/0.47  fof(f199,plain,(
% 0.15/0.47    ![X0,X1]: (~p5(f19(c24,X0,X1),f16(c27))|~p5(X1,f14(c28))|~p23(f13(X0,X1),f11(f15(c24))))),
% 0.15/0.47    inference(resolution,[status(thm)],[f178,f86])).
% 0.15/0.47  fof(f273,plain,(
% 0.15/0.47    ![X0,X1,X2]: (~p5(X0,f14(c28))|~p23(f13(X1,X0),f11(f15(c24)))|~p5(X2,f19(c24,X1,X0))|~p5(X2,f16(c27)))),
% 0.15/0.47    inference(resolution,[status(thm)],[f199,f68])).
% 0.15/0.47  fof(f436,plain,(
% 0.15/0.47    spl0_4 <=> p5(f14(c28),f14(c28))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f438,plain,(
% 0.15/0.47    ~p5(f14(c28),f14(c28))|spl0_4),
% 0.15/0.47    inference(component_clause,[status(thm)],[f436])).
% 0.15/0.47  fof(f439,plain,(
% 0.15/0.47    spl0_5 <=> ~p5(X0,f19(c24,c27,f14(c28)))|~p5(X0,f16(c27))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f440,plain,(
% 0.15/0.47    ![X0]: (~p5(X0,f19(c24,c27,f14(c28)))|~p5(X0,f16(c27))|~spl0_5)),
% 0.15/0.47    inference(component_clause,[status(thm)],[f439])).
% 0.15/0.47  fof(f442,plain,(
% 0.15/0.47    ![X0]: (~p5(f14(c28),f14(c28))|~p5(X0,f19(c24,c27,f14(c28)))|~p5(X0,f16(c27)))),
% 0.15/0.47    inference(resolution,[status(thm)],[f273,f50])).
% 0.15/0.47  fof(f443,plain,(
% 0.15/0.47    ~spl0_4|spl0_5),
% 0.15/0.47    inference(split_clause,[status(thm)],[f442,f436,f439])).
% 0.15/0.47  fof(f445,plain,(
% 0.15/0.47    $false|spl0_4),
% 0.15/0.47    inference(forward_subsumption_resolution,[status(thm)],[f438,f43])).
% 0.15/0.47  fof(f446,plain,(
% 0.15/0.47    spl0_4),
% 0.15/0.47    inference(contradiction_clause,[status(thm)],[f445])).
% 0.15/0.47  fof(f449,plain,(
% 0.15/0.47    ![X0]: (~p5(f16(f18(X0,f19(c24,c27,f14(c28)))),f16(c27))|~spl0_5)),
% 0.15/0.47    inference(resolution,[status(thm)],[f440,f49])).
% 0.15/0.47  fof(f455,plain,(
% 0.15/0.47    ![X0,X1]: (~p5(X0,f16(f18(X1,f19(c24,c27,f14(c28)))))|~p5(X0,f16(c27))|~spl0_5)),
% 0.15/0.47    inference(resolution,[status(thm)],[f449,f68])).
% 0.15/0.47  fof(f478,plain,(
% 0.15/0.47    ![X0]: (~p5(f16(c27),f16(f18(X0,f19(c24,c27,f14(c28)))))|~spl0_5)),
% 0.15/0.47    inference(resolution,[status(thm)],[f455,f43])).
% 0.15/0.47  fof(f479,plain,(
% 0.15/0.47    ![X0]: (~p5(c27,f18(X0,f19(c24,c27,f14(c28))))|~spl0_5)),
% 0.15/0.47    inference(resolution,[status(thm)],[f478,f56])).
% 0.15/0.47  fof(f481,plain,(
% 0.15/0.47    ~p23(f13(c27,f14(c28)),f11(f15(c24)))|~spl0_5),
% 0.15/0.47    inference(resolution,[status(thm)],[f479,f85])).
% 0.15/0.47  fof(f482,plain,(
% 0.15/0.47    $false|~spl0_5),
% 0.15/0.47    inference(forward_subsumption_resolution,[status(thm)],[f481,f50])).
% 0.15/0.47  fof(f483,plain,(
% 0.15/0.47    ~spl0_5),
% 0.15/0.47    inference(contradiction_clause,[status(thm)],[f482])).
% 0.15/0.47  fof(f484,plain,(
% 0.15/0.47    $false),
% 0.15/0.47    inference(sat_refutation,[status(thm)],[f443,f446,f483])).
% 0.15/0.47  % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.49  % Elapsed time: 0.168391 seconds
% 0.15/0.49  % CPU time: 0.677508 seconds
% 0.15/0.49  % Memory used: 37.880 MB
%------------------------------------------------------------------------------