TSTP Solution File: SYN591-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN591-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.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 20:52:36 EDT 2024

% Result   : Unsatisfiable 0.11s 0.36s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN591-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34  % Computer : n004.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit : 300
% 0.11/0.34  % WCLimit  : 300
% 0.11/0.34  % DateTime : Mon Apr 29 21:54:48 EDT 2024
% 0.11/0.34  % CPUTime  : 
% 0.11/0.35  % Drodi V3.6.0
% 0.11/0.36  % Refutation found
% 0.11/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.36  % SZS output start CNFRefutation for theBenchmark
% 0.11/0.36  fof(f3,negated_conjecture,(
% 0.11/0.36    (![X30]: (p7(X30,X30) ))),
% 0.11/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36  fof(f4,negated_conjecture,(
% 0.11/0.36    (![X15]: (p2(X15,X15) ))),
% 0.11/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36  fof(f11,negated_conjecture,(
% 0.11/0.36    p12(c14,f4(c18,c17)) ),
% 0.11/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36  fof(f12,negated_conjecture,(
% 0.11/0.36    ~ p11(c13,f4(c17,f6(c18))) ),
% 0.11/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36  fof(f13,negated_conjecture,(
% 0.11/0.36    ~ p11(c13,f4(f6(c18),c17)) ),
% 0.11/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36  fof(f20,negated_conjecture,(
% 0.11/0.36    (![X16,X17,X15]: (( p2(X16,X17)| ~ p2(X15,X16)| ~ p2(X15,X17) ) ))),
% 0.11/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36  fof(f22,negated_conjecture,(
% 0.11/0.36    (![X20]: (( p2(f6(X20),f5(X20))| ~ p12(c14,f4(X20,c17)) ) ))),
% 0.11/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36  fof(f25,negated_conjecture,(
% 0.11/0.36    (![X5,X6,X8,X7]: (( p11(X5,X6)| ~ p3(X8,X6)| ~ p7(X7,X5)| ~ p11(X7,X8) ) ))),
% 0.11/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36  fof(f26,negated_conjecture,(
% 0.11/0.36    (![X26,X27,X28,X29]: (( p3(f4(X26,X27),f4(X28,X29))| ~ p2(X26,X28)| ~ p2(X27,X29) ) ))),
% 0.11/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36  fof(f27,negated_conjecture,(
% 0.11/0.36    (![X9]: (( p11(c13,f4(c17,f5(X9)))| p11(c13,f4(f5(X9),c17))| ~ p12(c14,f4(X9,c17)) ) ))),
% 0.11/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36  fof(f30,plain,(
% 0.11/0.36    ![X0]: (p7(X0,X0))),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f3])).
% 0.11/0.36  fof(f31,plain,(
% 0.11/0.36    ![X0]: (p2(X0,X0))),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f4])).
% 0.11/0.36  fof(f38,plain,(
% 0.11/0.36    p12(c14,f4(c18,c17))),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f11])).
% 0.11/0.36  fof(f39,plain,(
% 0.11/0.36    ~p11(c13,f4(c17,f6(c18)))),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.36  fof(f40,plain,(
% 0.11/0.36    ~p11(c13,f4(f6(c18),c17))),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f13])).
% 0.11/0.36  fof(f48,plain,(
% 0.11/0.36    ![X17,X15]: ((![X16]: (p2(X16,X17)|~p2(X15,X16)))|~p2(X15,X17))),
% 0.11/0.36    inference(miniscoping,[status(esa)],[f20])).
% 0.11/0.36  fof(f49,plain,(
% 0.11/0.36    ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f48])).
% 0.11/0.36  fof(f52,plain,(
% 0.11/0.36    ![X0]: (p2(f6(X0),f5(X0))|~p12(c14,f4(X0,c17)))),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f22])).
% 0.11/0.36  fof(f57,plain,(
% 0.11/0.36    ![X8,X7]: ((![X5]: ((![X6]: (p11(X5,X6)|~p3(X8,X6)))|~p7(X7,X5)))|~p11(X7,X8))),
% 0.11/0.36    inference(miniscoping,[status(esa)],[f25])).
% 0.11/0.36  fof(f58,plain,(
% 0.11/0.36    ![X0,X1,X2,X3]: (p11(X0,X1)|~p3(X2,X1)|~p7(X3,X0)|~p11(X3,X2))),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f57])).
% 0.11/0.36  fof(f59,plain,(
% 0.11/0.36    ![X27,X29]: ((![X26,X28]: (p3(f4(X26,X27),f4(X28,X29))|~p2(X26,X28)))|~p2(X27,X29))),
% 0.11/0.36    inference(miniscoping,[status(esa)],[f26])).
% 0.11/0.36  fof(f60,plain,(
% 0.11/0.36    ![X0,X1,X2,X3]: (p3(f4(X0,X1),f4(X2,X3))|~p2(X0,X2)|~p2(X1,X3))),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f59])).
% 0.11/0.36  fof(f61,plain,(
% 0.11/0.36    ![X0]: (p11(c13,f4(c17,f5(X0)))|p11(c13,f4(f5(X0),c17))|~p12(c14,f4(X0,c17)))),
% 0.11/0.36    inference(cnf_transformation,[status(esa)],[f27])).
% 0.11/0.36  fof(f77,plain,(
% 0.11/0.36    ![X0,X1,X2]: (p11(c13,f4(c17,f5(X0)))|~p12(c14,f4(X0,c17))|p11(X1,X2)|~p3(f4(f5(X0),c17),X2)|~p7(c13,X1))),
% 0.11/0.36    inference(resolution,[status(thm)],[f61,f58])).
% 0.11/0.36  fof(f79,plain,(
% 0.11/0.36    ![X0,X1]: (p11(c13,f4(c17,f5(X0)))|~p12(c14,f4(X0,c17))|p11(c13,X1)|~p3(f4(f5(X0),c17),X1))),
% 0.11/0.36    inference(resolution,[status(thm)],[f77,f30])).
% 0.11/0.36  fof(f113,plain,(
% 0.11/0.36    ![X0,X1,X2,X3]: (~p12(c14,f4(X0,c17))|p11(c13,X1)|~p3(f4(f5(X0),c17),X1)|p11(X2,X3)|~p3(f4(c17,f5(X0)),X3)|~p7(c13,X2))),
% 0.11/0.36    inference(resolution,[status(thm)],[f79,f58])).
% 0.11/0.36  fof(f114,plain,(
% 0.11/0.36    ![X0,X1,X2]: (~p12(c14,f4(X0,c17))|p11(c13,X1)|~p3(f4(f5(X0),c17),X1)|p11(c13,X2)|~p3(f4(c17,f5(X0)),X2))),
% 0.11/0.36    inference(resolution,[status(thm)],[f113,f30])).
% 0.11/0.36  fof(f115,plain,(
% 0.11/0.36    spl0_0 <=> p11(c13,X0)|~p3(f4(f5(c18),c17),X0)),
% 0.11/0.36    introduced(split_symbol_definition)).
% 0.11/0.36  fof(f116,plain,(
% 0.11/0.36    ![X0]: (p11(c13,X0)|~p3(f4(f5(c18),c17),X0)|~spl0_0)),
% 0.11/0.36    inference(component_clause,[status(thm)],[f115])).
% 0.11/0.37  fof(f118,plain,(
% 0.11/0.37    spl0_1 <=> p11(c13,X1)|~p3(f4(c17,f5(c18)),X1)),
% 0.11/0.37    introduced(split_symbol_definition)).
% 0.11/0.37  fof(f119,plain,(
% 0.11/0.37    ![X0]: (p11(c13,X0)|~p3(f4(c17,f5(c18)),X0)|~spl0_1)),
% 0.11/0.37    inference(component_clause,[status(thm)],[f118])).
% 0.11/0.37  fof(f121,plain,(
% 0.11/0.37    ![X0,X1]: (p11(c13,X0)|~p3(f4(f5(c18),c17),X0)|p11(c13,X1)|~p3(f4(c17,f5(c18)),X1))),
% 0.11/0.37    inference(resolution,[status(thm)],[f114,f38])).
% 0.11/0.37  fof(f122,plain,(
% 0.11/0.37    spl0_0|spl0_1),
% 0.11/0.37    inference(split_clause,[status(thm)],[f121,f115,f118])).
% 0.11/0.37  fof(f125,plain,(
% 0.11/0.37    ![X0,X1]: (p11(c13,f4(X0,X1))|~p2(f5(c18),X0)|~p2(c17,X1)|~spl0_0)),
% 0.11/0.37    inference(resolution,[status(thm)],[f116,f60])).
% 0.11/0.37  fof(f130,plain,(
% 0.11/0.37    ![X0]: (p11(c13,f4(X0,c17))|~p2(f5(c18),X0)|~spl0_0)),
% 0.11/0.37    inference(resolution,[status(thm)],[f125,f31])).
% 0.11/0.37  fof(f131,plain,(
% 0.11/0.37    ~p2(f5(c18),f6(c18))|~spl0_0),
% 0.11/0.37    inference(resolution,[status(thm)],[f130,f40])).
% 0.11/0.37  fof(f133,plain,(
% 0.11/0.37    ![X0]: (~p2(X0,f5(c18))|~p2(X0,f6(c18))|~spl0_0)),
% 0.11/0.37    inference(resolution,[status(thm)],[f131,f49])).
% 0.11/0.37  fof(f136,plain,(
% 0.11/0.37    ~p2(f6(c18),f5(c18))|~spl0_0),
% 0.11/0.37    inference(resolution,[status(thm)],[f133,f31])).
% 0.11/0.37  fof(f137,plain,(
% 0.11/0.37    ~p12(c14,f4(c18,c17))|~spl0_0),
% 0.11/0.37    inference(resolution,[status(thm)],[f136,f52])).
% 0.11/0.37  fof(f138,plain,(
% 0.11/0.37    $false|~spl0_0),
% 0.11/0.37    inference(forward_subsumption_resolution,[status(thm)],[f137,f38])).
% 0.11/0.37  fof(f139,plain,(
% 0.11/0.37    ~spl0_0),
% 0.11/0.37    inference(contradiction_clause,[status(thm)],[f138])).
% 0.11/0.37  fof(f140,plain,(
% 0.11/0.37    ![X0,X1]: (p11(c13,f4(X0,X1))|~p2(c17,X0)|~p2(f5(c18),X1)|~spl0_1)),
% 0.11/0.37    inference(resolution,[status(thm)],[f119,f60])).
% 0.11/0.37  fof(f145,plain,(
% 0.11/0.37    ![X0]: (p11(c13,f4(c17,X0))|~p2(f5(c18),X0)|~spl0_1)),
% 0.11/0.37    inference(resolution,[status(thm)],[f140,f31])).
% 0.11/0.37  fof(f146,plain,(
% 0.11/0.37    ~p2(f5(c18),f6(c18))|~spl0_1),
% 0.11/0.37    inference(resolution,[status(thm)],[f145,f39])).
% 0.11/0.37  fof(f148,plain,(
% 0.11/0.37    ![X0]: (~p2(X0,f5(c18))|~p2(X0,f6(c18))|~spl0_1)),
% 0.11/0.37    inference(resolution,[status(thm)],[f146,f49])).
% 0.11/0.37  fof(f151,plain,(
% 0.11/0.37    ~p2(f6(c18),f5(c18))|~spl0_1),
% 0.11/0.37    inference(resolution,[status(thm)],[f148,f31])).
% 0.11/0.37  fof(f152,plain,(
% 0.11/0.37    ~p12(c14,f4(c18,c17))|~spl0_1),
% 0.11/0.37    inference(resolution,[status(thm)],[f151,f52])).
% 0.11/0.37  fof(f153,plain,(
% 0.11/0.37    $false|~spl0_1),
% 0.11/0.37    inference(forward_subsumption_resolution,[status(thm)],[f152,f38])).
% 0.11/0.37  fof(f154,plain,(
% 0.11/0.37    ~spl0_1),
% 0.11/0.37    inference(contradiction_clause,[status(thm)],[f153])).
% 0.11/0.37  fof(f155,plain,(
% 0.11/0.37    $false),
% 0.11/0.37    inference(sat_refutation,[status(thm)],[f122,f139,f154])).
% 0.11/0.37  % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.39  % Elapsed time: 0.033800 seconds
% 0.11/0.39  % CPU time: 0.131937 seconds
% 0.11/0.39  % Total memory used: 7.606 MB
% 0.11/0.39  % Net memory used: 7.498 MB
%------------------------------------------------------------------------------