TSTP Solution File: SYN607-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN607-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 20:52:38 EDT 2024

% Result   : Unsatisfiable 0.15s 0.34s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN607-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32  % Computer : n007.cluster.edu
% 0.09/0.32  % Model    : x86_64 x86_64
% 0.09/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32  % Memory   : 8042.1875MB
% 0.09/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32  % CPULimit : 300
% 0.09/0.32  % WCLimit  : 300
% 0.09/0.32  % DateTime : Mon Apr 29 21:48:17 EDT 2024
% 0.09/0.32  % CPUTime  : 
% 0.09/0.32  % Drodi V3.6.0
% 0.15/0.34  % Refutation found
% 0.15/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.34  % SZS output start CNFRefutation for theBenchmark
% 0.15/0.34  fof(f2,negated_conjecture,(
% 0.15/0.34    (![X11]: (p2(X11,X11) ))),
% 0.15/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34  fof(f4,negated_conjecture,(
% 0.15/0.34    (![X18]: (p3(X18,X18) ))),
% 0.15/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34  fof(f8,negated_conjecture,(
% 0.15/0.34    p3(f12(f15(c22),c21),f15(c22)) ),
% 0.15/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34  fof(f12,negated_conjecture,(
% 0.15/0.34    (![X16,X17]: (( p2(f9(X16),f9(X17))| ~ p3(X16,X17) ) ))),
% 0.15/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34  fof(f19,negated_conjecture,(
% 0.15/0.34    (![X19,X20,X18]: (( p3(X19,X20)| ~ p3(X18,X19)| ~ p3(X18,X20) ) ))),
% 0.15/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34  fof(f20,negated_conjecture,(
% 0.15/0.34    (![X2,X3,X4,X5]: (( p17(X2,X3)| ~ p2(X4,X2)| ~ p2(X5,X3)| ~ p17(X4,X5) ) ))),
% 0.15/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34  fof(f24,negated_conjecture,(
% 0.15/0.34    (![X21,X22,X23,X24]: (( p3(f10(X21,X22),f10(X23,X24))| ~ p3(X21,X23)| ~ p3(X22,X24) ) ))),
% 0.15/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34  fof(f27,negated_conjecture,(
% 0.15/0.34    p17(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f6(f7(f8(c20)))) ),
% 0.15/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34  fof(f29,negated_conjecture,(
% 0.15/0.34    (![X50]: (~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X50,c21))),f6(f7(f8(c20)))) ))),
% 0.15/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34  fof(f32,plain,(
% 0.15/0.34    ![X0]: (p2(X0,X0))),
% 0.15/0.34    inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.34  fof(f34,plain,(
% 0.15/0.34    ![X0]: (p3(X0,X0))),
% 0.15/0.34    inference(cnf_transformation,[status(esa)],[f4])).
% 0.15/0.34  fof(f38,plain,(
% 0.15/0.34    p3(f12(f15(c22),c21),f15(c22))),
% 0.15/0.34    inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.34  fof(f42,plain,(
% 0.15/0.34    ![X0,X1]: (p2(f9(X0),f9(X1))|~p3(X0,X1))),
% 0.15/0.34    inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.34  fof(f51,plain,(
% 0.15/0.34    ![X20,X18]: ((![X19]: (p3(X19,X20)|~p3(X18,X19)))|~p3(X18,X20))),
% 0.15/0.34    inference(miniscoping,[status(esa)],[f19])).
% 0.15/0.34  fof(f52,plain,(
% 0.15/0.34    ![X0,X1,X2]: (p3(X0,X1)|~p3(X2,X0)|~p3(X2,X1))),
% 0.15/0.34    inference(cnf_transformation,[status(esa)],[f51])).
% 0.15/0.34  fof(f53,plain,(
% 0.15/0.34    ![X4,X5]: ((![X3]: ((![X2]: (p17(X2,X3)|~p2(X4,X2)))|~p2(X5,X3)))|~p17(X4,X5))),
% 0.15/0.34    inference(miniscoping,[status(esa)],[f20])).
% 0.15/0.34  fof(f54,plain,(
% 0.15/0.34    ![X0,X1,X2,X3]: (p17(X0,X1)|~p2(X2,X0)|~p2(X3,X1)|~p17(X2,X3))),
% 0.15/0.34    inference(cnf_transformation,[status(esa)],[f53])).
% 0.15/0.34  fof(f60,plain,(
% 0.15/0.34    ![X22,X24]: ((![X21,X23]: (p3(f10(X21,X22),f10(X23,X24))|~p3(X21,X23)))|~p3(X22,X24))),
% 0.15/0.34    inference(miniscoping,[status(esa)],[f24])).
% 0.15/0.34  fof(f61,plain,(
% 0.15/0.34    ![X0,X1,X2,X3]: (p3(f10(X0,X1),f10(X2,X3))|~p3(X0,X2)|~p3(X1,X3))),
% 0.15/0.34    inference(cnf_transformation,[status(esa)],[f60])).
% 0.15/0.34  fof(f66,plain,(
% 0.15/0.34    p17(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f6(f7(f8(c20))))),
% 0.15/0.34    inference(cnf_transformation,[status(esa)],[f27])).
% 0.15/0.34  fof(f68,plain,(
% 0.15/0.34    ![X0]: (~p17(f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))),f6(f7(f8(c20)))))),
% 0.15/0.34    inference(cnf_transformation,[status(esa)],[f29])).
% 0.15/0.34  fof(f95,plain,(
% 0.15/0.34    ![X0,X1]: (p17(X0,X1)|~p2(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),X0)|~p2(f6(f7(f8(c20))),X1))),
% 0.15/0.34    inference(resolution,[status(thm)],[f66,f54])).
% 0.15/0.34  fof(f120,plain,(
% 0.15/0.34    spl0_2 <=> ~p2(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))))),
% 0.15/0.34    introduced(split_symbol_definition)).
% 0.15/0.34  fof(f121,plain,(
% 0.15/0.34    ![X0]: (~p2(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))))|~spl0_2)),
% 0.15/0.34    inference(component_clause,[status(thm)],[f120])).
% 0.15/0.34  fof(f123,plain,(
% 0.15/0.34    spl0_3 <=> p2(f6(f7(f8(c20))),f6(f7(f8(c20))))),
% 0.15/0.34    introduced(split_symbol_definition)).
% 0.15/0.34  fof(f125,plain,(
% 0.15/0.34    ~p2(f6(f7(f8(c20))),f6(f7(f8(c20))))|spl0_3),
% 0.15/0.34    inference(component_clause,[status(thm)],[f123])).
% 0.15/0.34  fof(f126,plain,(
% 0.15/0.34    ![X0]: (~p2(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))))|~p2(f6(f7(f8(c20))),f6(f7(f8(c20)))))),
% 0.15/0.34    inference(resolution,[status(thm)],[f95,f68])).
% 0.15/0.34  fof(f127,plain,(
% 0.15/0.34    spl0_2|~spl0_3),
% 0.15/0.34    inference(split_clause,[status(thm)],[f126,f120,f123])).
% 0.15/0.34  fof(f129,plain,(
% 0.15/0.34    $false|spl0_3),
% 0.15/0.34    inference(forward_subsumption_resolution,[status(thm)],[f125,f32])).
% 0.15/0.34  fof(f130,plain,(
% 0.15/0.34    spl0_3),
% 0.15/0.34    inference(contradiction_clause,[status(thm)],[f129])).
% 0.15/0.34  fof(f139,plain,(
% 0.15/0.34    ![X0]: (~p3(f10(f14(f4(f9(c19)),c19),f15(c22)),f10(f14(f4(f9(c19)),c19),f12(X0,c21)))|~spl0_2)),
% 0.15/0.34    inference(resolution,[status(thm)],[f121,f42])).
% 0.15/0.34  fof(f141,plain,(
% 0.15/0.34    spl0_4 <=> p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19))),
% 0.15/0.34    introduced(split_symbol_definition)).
% 0.15/0.34  fof(f143,plain,(
% 0.15/0.34    ~p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19))|spl0_4),
% 0.15/0.34    inference(component_clause,[status(thm)],[f141])).
% 0.15/0.34  fof(f144,plain,(
% 0.15/0.34    spl0_5 <=> ~p3(f15(c22),f12(X0,c21))),
% 0.15/0.34    introduced(split_symbol_definition)).
% 0.15/0.34  fof(f145,plain,(
% 0.15/0.34    ![X0]: (~p3(f15(c22),f12(X0,c21))|~spl0_5)),
% 0.15/0.34    inference(component_clause,[status(thm)],[f144])).
% 0.15/0.34  fof(f147,plain,(
% 0.15/0.34    ![X0]: (~p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19))|~p3(f15(c22),f12(X0,c21))|~spl0_2)),
% 0.15/0.34    inference(resolution,[status(thm)],[f139,f61])).
% 0.15/0.34  fof(f148,plain,(
% 0.15/0.34    ~spl0_4|spl0_5|~spl0_2),
% 0.15/0.34    inference(split_clause,[status(thm)],[f147,f141,f144,f120])).
% 0.15/0.34  fof(f150,plain,(
% 0.15/0.34    $false|spl0_4),
% 0.15/0.34    inference(forward_subsumption_resolution,[status(thm)],[f143,f34])).
% 0.15/0.34  fof(f151,plain,(
% 0.15/0.34    spl0_4),
% 0.15/0.34    inference(contradiction_clause,[status(thm)],[f150])).
% 0.15/0.34  fof(f173,plain,(
% 0.15/0.34    ![X0,X1]: (~p3(X0,f15(c22))|~p3(X0,f12(X1,c21))|~spl0_5)),
% 0.15/0.34    inference(resolution,[status(thm)],[f145,f52])).
% 0.15/0.34  fof(f176,plain,(
% 0.15/0.34    ![X0]: (~p3(f12(X0,c21),f15(c22))|~spl0_5)),
% 0.15/0.34    inference(resolution,[status(thm)],[f173,f34])).
% 0.15/0.34  fof(f177,plain,(
% 0.15/0.34    $false|~spl0_5),
% 0.15/0.34    inference(backward_subsumption_resolution,[status(thm)],[f38,f176])).
% 0.15/0.34  fof(f178,plain,(
% 0.15/0.34    ~spl0_5),
% 0.15/0.34    inference(contradiction_clause,[status(thm)],[f177])).
% 0.15/0.34  fof(f179,plain,(
% 0.15/0.34    $false),
% 0.15/0.34    inference(sat_refutation,[status(thm)],[f127,f130,f148,f151,f178])).
% 0.15/0.34  % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.35  % Elapsed time: 0.024710 seconds
% 0.15/0.35  % CPU time: 0.077652 seconds
% 0.15/0.35  % Total memory used: 4.700 MB
% 0.15/0.35  % Net memory used: 4.623 MB
%------------------------------------------------------------------------------