TSTP Solution File: SYN639-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN639-1 : 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 : Tue Apr 30 20:52:43 EDT 2024

% Result   : Unsatisfiable 0.15s 0.39s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN639-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n019.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Mon Apr 29 21:52:59 EDT 2024
% 0.15/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.6.0
% 0.15/0.39  % Refutation found
% 0.15/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.39  % SZS output start CNFRefutation for theBenchmark
% 0.15/0.39  fof(f5,negated_conjecture,(
% 0.15/0.39    (![X16]: (p2(X16,X16) ))),
% 0.15/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39  fof(f7,negated_conjecture,(
% 0.15/0.39    ~ p20(f17(c25),f17(c22)) ),
% 0.15/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39  fof(f9,negated_conjecture,(
% 0.15/0.39    p2(f12(f11(c25)),f7(c24)) ),
% 0.15/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39  fof(f10,negated_conjecture,(
% 0.15/0.39    p2(f12(f11(c22)),f7(c24)) ),
% 0.15/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39  fof(f12,negated_conjecture,(
% 0.15/0.39    p19(f13(f11(c23)),f13(f11(c22))) ),
% 0.15/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39  fof(f26,negated_conjecture,(
% 0.15/0.39    (![X17,X18,X16]: (( p2(X17,X18)| ~ p2(X16,X17)| ~ p2(X16,X18) ) ))),
% 0.15/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39  fof(f28,negated_conjecture,(
% 0.15/0.39    (![X12,X13,X14,X15]: (( p19(X12,X13)| ~ p2(X14,X12)| ~ p2(X15,X13)| ~ p19(X14,X15) ) ))),
% 0.15/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39  fof(f33,negated_conjecture,(
% 0.15/0.39    p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ),
% 0.15/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39  fof(f34,negated_conjecture,(
% 0.15/0.39    p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ),
% 0.15/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39  fof(f35,negated_conjecture,(
% 0.15/0.39    (![X35,X36]: (( p20(f17(X35),f17(X36))| ~ p2(f12(f11(X36)),f7(c24))| ~ p2(f12(f11(X35)),f7(c24))| ~ p19(f13(f11(X35)),f13(f11(X36))) ) ))),
% 0.15/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39  fof(f47,plain,(
% 0.15/0.39    ![X0]: (p2(X0,X0))),
% 0.15/0.39    inference(cnf_transformation,[status(esa)],[f5])).
% 0.15/0.39  fof(f49,plain,(
% 0.15/0.39    ~p20(f17(c25),f17(c22))),
% 0.15/0.39    inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.39  fof(f51,plain,(
% 0.15/0.39    p2(f12(f11(c25)),f7(c24))),
% 0.15/0.39    inference(cnf_transformation,[status(esa)],[f9])).
% 0.15/0.39  fof(f52,plain,(
% 0.15/0.39    p2(f12(f11(c22)),f7(c24))),
% 0.15/0.39    inference(cnf_transformation,[status(esa)],[f10])).
% 0.15/0.39  fof(f54,plain,(
% 0.15/0.39    p19(f13(f11(c23)),f13(f11(c22)))),
% 0.15/0.39    inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.39  fof(f71,plain,(
% 0.15/0.39    ![X18,X16]: ((![X17]: (p2(X17,X18)|~p2(X16,X17)))|~p2(X16,X18))),
% 0.15/0.39    inference(miniscoping,[status(esa)],[f26])).
% 0.15/0.39  fof(f72,plain,(
% 0.15/0.39    ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.15/0.39    inference(cnf_transformation,[status(esa)],[f71])).
% 0.15/0.39  fof(f75,plain,(
% 0.15/0.39    ![X14,X15]: ((![X13]: ((![X12]: (p19(X12,X13)|~p2(X14,X12)))|~p2(X15,X13)))|~p19(X14,X15))),
% 0.15/0.39    inference(miniscoping,[status(esa)],[f28])).
% 0.15/0.39  fof(f76,plain,(
% 0.15/0.39    ![X0,X1,X2,X3]: (p19(X0,X1)|~p2(X2,X0)|~p2(X3,X1)|~p19(X2,X3))),
% 0.15/0.39    inference(cnf_transformation,[status(esa)],[f75])).
% 0.15/0.39  fof(f85,plain,(
% 0.15/0.39    p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))),
% 0.15/0.39    inference(cnf_transformation,[status(esa)],[f33])).
% 0.15/0.39  fof(f86,plain,(
% 0.15/0.39    p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))),
% 0.15/0.39    inference(cnf_transformation,[status(esa)],[f34])).
% 0.15/0.39  fof(f87,plain,(
% 0.15/0.39    ![X0,X1]: (p20(f17(X0),f17(X1))|~p2(f12(f11(X1)),f7(c24))|~p2(f12(f11(X0)),f7(c24))|~p19(f13(f11(X0)),f13(f11(X1))))),
% 0.15/0.40    inference(cnf_transformation,[status(esa)],[f35])).
% 0.15/0.40  fof(f98,plain,(
% 0.15/0.40    spl0_1 <=> p2(f12(f11(c22)),f7(c24))),
% 0.15/0.40    introduced(split_symbol_definition)).
% 0.15/0.40  fof(f100,plain,(
% 0.15/0.40    ~p2(f12(f11(c22)),f7(c24))|spl0_1),
% 0.15/0.40    inference(component_clause,[status(thm)],[f98])).
% 0.15/0.40  fof(f106,plain,(
% 0.15/0.40    ![X0,X1,X2,X3]: (p20(f17(X0),f17(X1))|~p2(f12(f11(X1)),f7(c24))|~p2(f12(f11(X0)),f7(c24))|~p2(X2,f13(f11(X0)))|~p2(X3,f13(f11(X1)))|~p19(X2,X3))),
% 0.15/0.40    inference(resolution,[status(thm)],[f87,f76])).
% 0.15/0.40  fof(f109,plain,(
% 0.15/0.40    $false|spl0_1),
% 0.15/0.40    inference(forward_subsumption_resolution,[status(thm)],[f100,f52])).
% 0.15/0.40  fof(f110,plain,(
% 0.15/0.40    spl0_1),
% 0.15/0.40    inference(contradiction_clause,[status(thm)],[f109])).
% 0.15/0.40  fof(f198,plain,(
% 0.15/0.40    ![X0,X1,X2,X3,X4,X5]: (p20(f17(X0),f17(X1))|~p2(f12(f11(X1)),f7(c24))|~p2(f12(f11(X0)),f7(c24))|~p2(X2,f13(f11(X0)))|~p2(X3,f13(f11(X1)))|~p2(X4,X2)|~p2(X5,X3)|~p19(X4,X5))),
% 0.15/0.40    inference(resolution,[status(thm)],[f106,f76])).
% 0.15/0.40  fof(f235,plain,(
% 0.15/0.40    ![X0,X1,X2,X3]: (p20(f17(X0),f17(X1))|~p2(f12(f11(X1)),f7(c24))|~p2(f12(f11(X0)),f7(c24))|~p2(X2,f13(f11(X0)))|~p2(X3,f13(f11(X1)))|~p2(f13(f11(c23)),X2)|~p2(f13(f11(c22)),X3))),
% 0.15/0.40    inference(resolution,[status(thm)],[f198,f54])).
% 0.15/0.40  fof(f309,plain,(
% 0.15/0.40    spl0_8 <=> p2(f12(f11(c25)),f7(c24))),
% 0.15/0.40    introduced(split_symbol_definition)).
% 0.15/0.40  fof(f311,plain,(
% 0.15/0.40    ~p2(f12(f11(c25)),f7(c24))|spl0_8),
% 0.15/0.40    inference(component_clause,[status(thm)],[f309])).
% 0.15/0.40  fof(f312,plain,(
% 0.15/0.40    spl0_9 <=> ~p2(X0,f13(f11(c25)))|~p2(f13(f11(c23)),X0)),
% 0.15/0.40    introduced(split_symbol_definition)).
% 0.15/0.40  fof(f313,plain,(
% 0.15/0.40    ![X0]: (~p2(X0,f13(f11(c25)))|~p2(f13(f11(c23)),X0)|~spl0_9)),
% 0.15/0.40    inference(component_clause,[status(thm)],[f312])).
% 0.15/0.40  fof(f315,plain,(
% 0.15/0.40    spl0_10 <=> ~p2(X1,f13(f11(c22)))|~p2(f13(f11(c22)),X1)),
% 0.15/0.40    introduced(split_symbol_definition)).
% 0.15/0.40  fof(f316,plain,(
% 0.15/0.40    ![X0]: (~p2(X0,f13(f11(c22)))|~p2(f13(f11(c22)),X0)|~spl0_10)),
% 0.15/0.40    inference(component_clause,[status(thm)],[f315])).
% 0.15/0.40  fof(f318,plain,(
% 0.15/0.40    ![X0,X1]: (~p2(f12(f11(c22)),f7(c24))|~p2(f12(f11(c25)),f7(c24))|~p2(X0,f13(f11(c25)))|~p2(X1,f13(f11(c22)))|~p2(f13(f11(c23)),X0)|~p2(f13(f11(c22)),X1))),
% 0.15/0.40    inference(resolution,[status(thm)],[f235,f49])).
% 0.15/0.40  fof(f319,plain,(
% 0.15/0.40    ~spl0_1|~spl0_8|spl0_9|spl0_10),
% 0.15/0.40    inference(split_clause,[status(thm)],[f318,f98,f309,f312,f315])).
% 0.15/0.40  fof(f321,plain,(
% 0.15/0.40    $false|spl0_8),
% 0.15/0.40    inference(forward_subsumption_resolution,[status(thm)],[f311,f51])).
% 0.15/0.40  fof(f322,plain,(
% 0.15/0.40    spl0_8),
% 0.15/0.40    inference(contradiction_clause,[status(thm)],[f321])).
% 0.15/0.40  fof(f354,plain,(
% 0.15/0.40    ![X0,X1]: (~p2(f13(f11(c23)),X0)|~p2(X1,X0)|~p2(X1,f13(f11(c25)))|~spl0_9)),
% 0.15/0.40    inference(resolution,[status(thm)],[f313,f72])).
% 0.15/0.40  fof(f551,plain,(
% 0.15/0.40    ![X0]: (~p2(f13(f11(c23)),X0)|~p2(f13(f11(c25)),X0)|~spl0_9)),
% 0.15/0.40    inference(resolution,[status(thm)],[f354,f47])).
% 0.15/0.40  fof(f552,plain,(
% 0.15/0.40    ~p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))|~spl0_9),
% 0.15/0.40    inference(resolution,[status(thm)],[f551,f85])).
% 0.15/0.40  fof(f553,plain,(
% 0.15/0.40    $false|~spl0_9),
% 0.15/0.40    inference(forward_subsumption_resolution,[status(thm)],[f552,f86])).
% 0.15/0.40  fof(f554,plain,(
% 0.15/0.40    ~spl0_9),
% 0.15/0.40    inference(contradiction_clause,[status(thm)],[f553])).
% 0.15/0.40  fof(f564,plain,(
% 0.15/0.40    ~p2(f13(f11(c22)),f13(f11(c22)))|~spl0_10),
% 0.15/0.40    inference(resolution,[status(thm)],[f316,f47])).
% 0.15/0.40  fof(f565,plain,(
% 0.15/0.40    $false|~spl0_10),
% 0.15/0.40    inference(forward_subsumption_resolution,[status(thm)],[f564,f47])).
% 0.15/0.40  fof(f566,plain,(
% 0.15/0.40    ~spl0_10),
% 0.15/0.40    inference(contradiction_clause,[status(thm)],[f565])).
% 0.15/0.40  fof(f567,plain,(
% 0.15/0.40    $false),
% 0.15/0.40    inference(sat_refutation,[status(thm)],[f110,f319,f322,f554,f566])).
% 0.15/0.40  % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.41  % Elapsed time: 0.096040 seconds
% 0.15/0.41  % CPU time: 0.642747 seconds
% 0.15/0.41  % Total memory used: 59.288 MB
% 0.15/0.41  % Net memory used: 57.969 MB
%------------------------------------------------------------------------------