TSTP Solution File: SYN611-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN611-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n025.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 12:47:13 EDT 2023

% Result   : Unsatisfiable 0.09s 0.30s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYN611-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29  % Computer : n025.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Tue May 30 10:36:27 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.09/0.29  % Drodi V3.5.1
% 0.09/0.30  % Refutation found
% 0.09/0.30  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.30  % SZS output start CNFRefutation for theBenchmark
% 0.09/0.30  fof(f2,negated_conjecture,(
% 0.09/0.30    (![X11]: (p2(X11,X11) ))),
% 0.09/0.30    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.30  fof(f4,negated_conjecture,(
% 0.09/0.30    (![X18]: (p3(X18,X18) ))),
% 0.09/0.30    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.30  fof(f12,negated_conjecture,(
% 0.09/0.30    (![X16,X17]: (( p2(f9(X16),f9(X17))| ~ p3(X16,X17) ) ))),
% 0.09/0.30    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.30  fof(f19,negated_conjecture,(
% 0.09/0.30    (![X19,X20,X18]: (( p3(X19,X20)| ~ p3(X18,X19)| ~ p3(X18,X20) ) ))),
% 0.09/0.30    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.30  fof(f20,negated_conjecture,(
% 0.09/0.30    (![X2,X3,X4,X5]: (( p17(X2,X3)| ~ p2(X4,X2)| ~ p2(X5,X3)| ~ p17(X4,X5) ) ))),
% 0.09/0.30    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.30  fof(f22,negated_conjecture,(
% 0.09/0.30    p3(f12(f4(f6(f7(f8(c20)))),c21),f4(f6(f7(f8(c20))))) ),
% 0.09/0.30    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.30  fof(f24,negated_conjecture,(
% 0.09/0.30    (![X21,X22,X23,X24]: (( p3(f10(X21,X22),f10(X23,X24))| ~ p3(X21,X23)| ~ p3(X22,X24) ) ))),
% 0.09/0.30    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.30  fof(f28,negated_conjecture,(
% 0.09/0.30    (![X50]: (~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X50,c21))),f6(f7(f8(c20)))) ))),
% 0.09/0.30    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.30  fof(f29,negated_conjecture,(
% 0.09/0.30    p17(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f6(f7(f8(c20)))) ),
% 0.09/0.30    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.30  fof(f32,plain,(
% 0.09/0.30    ![X0]: (p2(X0,X0))),
% 0.09/0.30    inference(cnf_transformation,[status(esa)],[f2])).
% 0.09/0.30  fof(f34,plain,(
% 0.09/0.30    ![X0]: (p3(X0,X0))),
% 0.09/0.30    inference(cnf_transformation,[status(esa)],[f4])).
% 0.09/0.30  fof(f42,plain,(
% 0.09/0.30    ![X0,X1]: (p2(f9(X0),f9(X1))|~p3(X0,X1))),
% 0.09/0.30    inference(cnf_transformation,[status(esa)],[f12])).
% 0.09/0.30  fof(f51,plain,(
% 0.09/0.30    ![X20,X18]: ((![X19]: (p3(X19,X20)|~p3(X18,X19)))|~p3(X18,X20))),
% 0.09/0.30    inference(miniscoping,[status(esa)],[f19])).
% 0.09/0.30  fof(f52,plain,(
% 0.09/0.30    ![X0,X1,X2]: (p3(X0,X1)|~p3(X2,X0)|~p3(X2,X1))),
% 0.09/0.30    inference(cnf_transformation,[status(esa)],[f51])).
% 0.09/0.30  fof(f53,plain,(
% 0.09/0.30    ![X4,X5]: ((![X3]: ((![X2]: (p17(X2,X3)|~p2(X4,X2)))|~p2(X5,X3)))|~p17(X4,X5))),
% 0.09/0.30    inference(miniscoping,[status(esa)],[f20])).
% 0.09/0.30  fof(f54,plain,(
% 0.09/0.30    ![X0,X1,X2,X3]: (p17(X0,X1)|~p2(X2,X0)|~p2(X3,X1)|~p17(X2,X3))),
% 0.09/0.30    inference(cnf_transformation,[status(esa)],[f53])).
% 0.09/0.30  fof(f57,plain,(
% 0.09/0.30    p3(f12(f4(f6(f7(f8(c20)))),c21),f4(f6(f7(f8(c20)))))),
% 0.09/0.30    inference(cnf_transformation,[status(esa)],[f22])).
% 0.09/0.30  fof(f60,plain,(
% 0.09/0.30    ![X22,X24]: ((![X21,X23]: (p3(f10(X21,X22),f10(X23,X24))|~p3(X21,X23)))|~p3(X22,X24))),
% 0.09/0.30    inference(miniscoping,[status(esa)],[f24])).
% 0.09/0.30  fof(f61,plain,(
% 0.09/0.30    ![X0,X1,X2,X3]: (p3(f10(X0,X1),f10(X2,X3))|~p3(X0,X2)|~p3(X1,X3))),
% 0.09/0.30    inference(cnf_transformation,[status(esa)],[f60])).
% 0.09/0.30  fof(f67,plain,(
% 0.09/0.30    ![X0]: (~p17(f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))),f6(f7(f8(c20)))))),
% 0.09/0.30    inference(cnf_transformation,[status(esa)],[f28])).
% 0.09/0.30  fof(f68,plain,(
% 0.09/0.30    p17(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f6(f7(f8(c20))))),
% 0.09/0.30    inference(cnf_transformation,[status(esa)],[f29])).
% 0.09/0.30  fof(f103,plain,(
% 0.09/0.30    ![X0,X1]: (p17(X0,X1)|~p2(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),X0)|~p2(f6(f7(f8(c20))),X1))),
% 0.09/0.30    inference(resolution,[status(thm)],[f68,f54])).
% 0.09/0.30  fof(f124,plain,(
% 0.09/0.30    spl0_2 <=> ~p2(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))))),
% 0.09/0.30    introduced(split_symbol_definition)).
% 0.09/0.30  fof(f125,plain,(
% 0.09/0.30    ![X0]: (~p2(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))))|~spl0_2)),
% 0.09/0.30    inference(component_clause,[status(thm)],[f124])).
% 0.09/0.30  fof(f127,plain,(
% 0.09/0.30    spl0_3 <=> p2(f6(f7(f8(c20))),f6(f7(f8(c20))))),
% 0.09/0.30    introduced(split_symbol_definition)).
% 0.09/0.30  fof(f129,plain,(
% 0.09/0.30    ~p2(f6(f7(f8(c20))),f6(f7(f8(c20))))|spl0_3),
% 0.09/0.30    inference(component_clause,[status(thm)],[f127])).
% 0.09/0.30  fof(f130,plain,(
% 0.09/0.30    ![X0]: (~p2(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))))|~p2(f6(f7(f8(c20))),f6(f7(f8(c20)))))),
% 0.09/0.30    inference(resolution,[status(thm)],[f103,f67])).
% 0.09/0.30  fof(f131,plain,(
% 0.09/0.30    spl0_2|~spl0_3),
% 0.09/0.30    inference(split_clause,[status(thm)],[f130,f124,f127])).
% 0.09/0.30  fof(f133,plain,(
% 0.09/0.30    $false|spl0_3),
% 0.09/0.30    inference(forward_subsumption_resolution,[status(thm)],[f129,f32])).
% 0.09/0.30  fof(f134,plain,(
% 0.09/0.30    spl0_3),
% 0.09/0.30    inference(contradiction_clause,[status(thm)],[f133])).
% 0.09/0.30  fof(f135,plain,(
% 0.09/0.30    ![X0]: (~p3(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20))))),f10(f14(f4(f9(c19)),c19),f12(X0,c21)))|~spl0_2)),
% 0.09/0.30    inference(resolution,[status(thm)],[f125,f42])).
% 0.09/0.30  fof(f137,plain,(
% 0.09/0.30    spl0_4 <=> p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19))),
% 0.09/0.30    introduced(split_symbol_definition)).
% 0.09/0.30  fof(f139,plain,(
% 0.09/0.30    ~p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19))|spl0_4),
% 0.09/0.30    inference(component_clause,[status(thm)],[f137])).
% 0.09/0.30  fof(f140,plain,(
% 0.09/0.30    spl0_5 <=> ~p3(f4(f6(f7(f8(c20)))),f12(X0,c21))),
% 0.09/0.30    introduced(split_symbol_definition)).
% 0.09/0.30  fof(f141,plain,(
% 0.09/0.30    ![X0]: (~p3(f4(f6(f7(f8(c20)))),f12(X0,c21))|~spl0_5)),
% 0.09/0.30    inference(component_clause,[status(thm)],[f140])).
% 0.09/0.30  fof(f143,plain,(
% 0.09/0.30    ![X0]: (~p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19))|~p3(f4(f6(f7(f8(c20)))),f12(X0,c21))|~spl0_2)),
% 0.09/0.30    inference(resolution,[status(thm)],[f135,f61])).
% 0.09/0.30  fof(f144,plain,(
% 0.09/0.30    ~spl0_4|spl0_5|~spl0_2),
% 0.09/0.30    inference(split_clause,[status(thm)],[f143,f137,f140,f124])).
% 0.09/0.30  fof(f146,plain,(
% 0.09/0.30    $false|spl0_4),
% 0.09/0.30    inference(forward_subsumption_resolution,[status(thm)],[f139,f34])).
% 0.09/0.30  fof(f147,plain,(
% 0.09/0.30    spl0_4),
% 0.09/0.30    inference(contradiction_clause,[status(thm)],[f146])).
% 0.09/0.30  fof(f148,plain,(
% 0.09/0.30    ![X0,X1]: (~p3(X0,f4(f6(f7(f8(c20)))))|~p3(X0,f12(X1,c21))|~spl0_5)),
% 0.09/0.30    inference(resolution,[status(thm)],[f141,f52])).
% 0.09/0.30  fof(f151,plain,(
% 0.09/0.30    ![X0]: (~p3(f12(X0,c21),f4(f6(f7(f8(c20)))))|~spl0_5)),
% 0.09/0.30    inference(resolution,[status(thm)],[f148,f34])).
% 0.09/0.30  fof(f152,plain,(
% 0.09/0.30    $false|~spl0_5),
% 0.09/0.30    inference(backward_subsumption_resolution,[status(thm)],[f57,f151])).
% 0.09/0.30  fof(f153,plain,(
% 0.09/0.30    ~spl0_5),
% 0.09/0.30    inference(contradiction_clause,[status(thm)],[f152])).
% 0.09/0.30  fof(f154,plain,(
% 0.09/0.30    $false),
% 0.09/0.30    inference(sat_refutation,[status(thm)],[f131,f134,f144,f147,f153])).
% 0.09/0.30  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.54  % Elapsed time: 0.032444 seconds
% 0.13/0.54  % CPU time: 0.016429 seconds
% 0.13/0.54  % Memory used: 664.173 KB
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