TSTP Solution File: SYN623-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN623-1 : 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 12:47:15 EDT 2023

% Result   : Unsatisfiable 0.08s 0.29s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08  % Problem  : SYN623-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.28  % Computer : n019.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 300
% 0.08/0.28  % DateTime : Tue May 30 10:25:55 EDT 2023
% 0.08/0.28  % CPUTime  : 
% 0.08/0.28  % Drodi V3.5.1
% 0.08/0.29  % Refutation found
% 0.08/0.29  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.29  % SZS output start CNFRefutation for theBenchmark
% 0.08/0.29  fof(f2,negated_conjecture,(
% 0.08/0.29    (![X58]: (p8(X58,X58) ))),
% 0.08/0.29    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29  fof(f5,negated_conjecture,(
% 0.08/0.29    (![X37]: (p3(X37,X37) ))),
% 0.08/0.29    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29  fof(f10,negated_conjecture,(
% 0.08/0.29    p18(c26,c25) ),
% 0.08/0.29    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29  fof(f11,negated_conjecture,(
% 0.08/0.29    p3(c22,c23) ),
% 0.08/0.29    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29  fof(f12,negated_conjecture,(
% 0.08/0.29    p2(c24,c25) ),
% 0.08/0.29    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29  fof(f13,negated_conjecture,(
% 0.08/0.29    ~ p16(c22,c21) ),
% 0.08/0.29    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29  fof(f14,negated_conjecture,(
% 0.08/0.29    p3(c23,f4(c24,c20)) ),
% 0.08/0.29    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29  fof(f15,negated_conjecture,(
% 0.08/0.29    p16(f4(c19,c20),c21) ),
% 0.08/0.29    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29  fof(f20,negated_conjecture,(
% 0.08/0.29    (![X38,X39,X37]: (( p3(X38,X39)| ~ p3(X37,X38)| ~ p3(X37,X39) ) ))),
% 0.08/0.29    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29  fof(f25,negated_conjecture,(
% 0.08/0.29    (![X21,X22]: (( p16(f4(c25,X21),X22)| ~ p16(f4(f6(c27,c25),X21),X22) ) ))),
% 0.08/0.29    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29  fof(f26,negated_conjecture,(
% 0.08/0.29    (![X13,X14,X15,X16]: (( p16(X13,X14)| ~ p3(X15,X13)| ~ p8(X16,X14)| ~ p16(X15,X16) ) ))),
% 0.08/0.29    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29  fof(f34,negated_conjecture,(
% 0.08/0.29    (![X17,X18,X19,X20]: (( p16(f4(X17,X18),X19)| ~ p2(X17,X20)| ~ p18(c26,X20)| ~ p16(f4(c19,X18),X19)| ~ p16(f4(X20,f13(f15(c28,X17),X20)),f9(f11(c29,X17),X20)) ) ))),
% 0.08/0.29    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29  fof(f35,negated_conjecture,(
% 0.08/0.29    (![X17,X18,X19,X20]: (( p16(f4(X17,X18),X19)| p16(f4(f6(c27,X20),f13(f15(c28,X17),X20)),f9(f11(c29,X17),X20))| ~ p2(X17,X20)| ~ p18(c26,X20)| ~ p16(f4(c19,X18),X19) ) ))),
% 0.08/0.29    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29  fof(f37,plain,(
% 0.08/0.29    ![X0]: (p8(X0,X0))),
% 0.08/0.29    inference(cnf_transformation,[status(esa)],[f2])).
% 0.08/0.29  fof(f40,plain,(
% 0.08/0.29    ![X0]: (p3(X0,X0))),
% 0.08/0.29    inference(cnf_transformation,[status(esa)],[f5])).
% 0.08/0.29  fof(f45,plain,(
% 0.08/0.29    p18(c26,c25)),
% 0.08/0.29    inference(cnf_transformation,[status(esa)],[f10])).
% 0.08/0.29  fof(f46,plain,(
% 0.08/0.29    p3(c22,c23)),
% 0.08/0.29    inference(cnf_transformation,[status(esa)],[f11])).
% 0.08/0.29  fof(f47,plain,(
% 0.08/0.29    p2(c24,c25)),
% 0.08/0.29    inference(cnf_transformation,[status(esa)],[f12])).
% 0.08/0.29  fof(f48,plain,(
% 0.08/0.29    ~p16(c22,c21)),
% 0.08/0.29    inference(cnf_transformation,[status(esa)],[f13])).
% 0.08/0.29  fof(f49,plain,(
% 0.08/0.29    p3(c23,f4(c24,c20))),
% 0.08/0.29    inference(cnf_transformation,[status(esa)],[f14])).
% 0.08/0.29  fof(f50,plain,(
% 0.08/0.29    p16(f4(c19,c20),c21)),
% 0.08/0.29    inference(cnf_transformation,[status(esa)],[f15])).
% 0.08/0.29  fof(f59,plain,(
% 0.08/0.29    ![X39,X37]: ((![X38]: (p3(X38,X39)|~p3(X37,X38)))|~p3(X37,X39))),
% 0.08/0.29    inference(miniscoping,[status(esa)],[f20])).
% 0.08/0.29  fof(f60,plain,(
% 0.08/0.29    ![X0,X1,X2]: (p3(X0,X1)|~p3(X2,X0)|~p3(X2,X1))),
% 0.08/0.29    inference(cnf_transformation,[status(esa)],[f59])).
% 0.08/0.29  fof(f69,plain,(
% 0.08/0.29    ![X0,X1]: (p16(f4(c25,X0),X1)|~p16(f4(f6(c27,c25),X0),X1))),
% 0.08/0.29    inference(cnf_transformation,[status(esa)],[f25])).
% 0.08/0.29  fof(f70,plain,(
% 0.08/0.29    ![X15,X16]: ((![X14]: ((![X13]: (p16(X13,X14)|~p3(X15,X13)))|~p8(X16,X14)))|~p16(X15,X16))),
% 0.08/0.29    inference(miniscoping,[status(esa)],[f26])).
% 0.08/0.29  fof(f71,plain,(
% 0.08/0.29    ![X0,X1,X2,X3]: (p16(X0,X1)|~p3(X2,X0)|~p8(X3,X1)|~p16(X2,X3))),
% 0.08/0.29    inference(cnf_transformation,[status(esa)],[f70])).
% 0.08/0.29  fof(f86,plain,(
% 0.08/0.29    ![X17,X20]: ((![X18,X19]: (((p16(f4(X17,X18),X19)|~p2(X17,X20))|~p18(c26,X20))|~p16(f4(c19,X18),X19)))|~p16(f4(X20,f13(f15(c28,X17),X20)),f9(f11(c29,X17),X20)))),
% 0.08/0.29    inference(miniscoping,[status(esa)],[f34])).
% 0.08/0.29  fof(f87,plain,(
% 0.08/0.29    ![X0,X1,X2,X3]: (p16(f4(X0,X1),X2)|~p2(X0,X3)|~p18(c26,X3)|~p16(f4(c19,X1),X2)|~p16(f4(X3,f13(f15(c28,X0),X3)),f9(f11(c29,X0),X3)))),
% 0.08/0.29    inference(cnf_transformation,[status(esa)],[f86])).
% 0.08/0.29  fof(f88,plain,(
% 0.08/0.29    ![X18,X19]: ((![X20]: ((![X17]: ((p16(f4(X17,X18),X19)|p16(f4(f6(c27,X20),f13(f15(c28,X17),X20)),f9(f11(c29,X17),X20)))|~p2(X17,X20)))|~p18(c26,X20)))|~p16(f4(c19,X18),X19))),
% 0.08/0.29    inference(miniscoping,[status(esa)],[f35])).
% 0.08/0.29  fof(f89,plain,(
% 0.08/0.29    ![X0,X1,X2,X3]: (p16(f4(X0,X1),X2)|p16(f4(f6(c27,X3),f13(f15(c28,X0),X3)),f9(f11(c29,X0),X3))|~p2(X0,X3)|~p18(c26,X3)|~p16(f4(c19,X1),X2))),
% 0.08/0.29    inference(cnf_transformation,[status(esa)],[f88])).
% 0.08/0.29  fof(f93,plain,(
% 0.08/0.29    ![X0,X1]: (p16(f4(X0,c20),c21)|p16(f4(f6(c27,X1),f13(f15(c28,X0),X1)),f9(f11(c29,X0),X1))|~p2(X0,X1)|~p18(c26,X1))),
% 0.08/0.29    inference(resolution,[status(thm)],[f89,f50])).
% 0.08/0.29  fof(f106,plain,(
% 0.08/0.29    spl0_0 <=> p16(f4(X0,c20),c21)|~p2(X0,c25)|p16(f4(c25,f13(f15(c28,X0),c25)),f9(f11(c29,X0),c25))),
% 0.08/0.29    introduced(split_symbol_definition)).
% 0.08/0.29  fof(f107,plain,(
% 0.08/0.29    ![X0]: (p16(f4(X0,c20),c21)|~p2(X0,c25)|p16(f4(c25,f13(f15(c28,X0),c25)),f9(f11(c29,X0),c25))|~spl0_0)),
% 0.08/0.29    inference(component_clause,[status(thm)],[f106])).
% 0.08/0.29  fof(f109,plain,(
% 0.08/0.29    spl0_1 <=> p18(c26,c25)),
% 0.08/0.29    introduced(split_symbol_definition)).
% 0.08/0.29  fof(f111,plain,(
% 0.08/0.29    ~p18(c26,c25)|spl0_1),
% 0.08/0.29    inference(component_clause,[status(thm)],[f109])).
% 0.08/0.29  fof(f112,plain,(
% 0.08/0.29    ![X0]: (p16(f4(X0,c20),c21)|~p2(X0,c25)|~p18(c26,c25)|p16(f4(c25,f13(f15(c28,X0),c25)),f9(f11(c29,X0),c25)))),
% 0.08/0.29    inference(resolution,[status(thm)],[f93,f69])).
% 0.08/0.29  fof(f113,plain,(
% 0.08/0.29    spl0_0|~spl0_1),
% 0.08/0.29    inference(split_clause,[status(thm)],[f112,f106,f109])).
% 0.08/0.29  fof(f115,plain,(
% 0.08/0.29    $false|spl0_1),
% 0.08/0.29    inference(forward_subsumption_resolution,[status(thm)],[f111,f45])).
% 0.08/0.29  fof(f116,plain,(
% 0.08/0.29    spl0_1),
% 0.08/0.29    inference(contradiction_clause,[status(thm)],[f115])).
% 0.08/0.29  fof(f117,plain,(
% 0.08/0.29    spl0_2 <=> p16(f4(X0,c20),c21)|~p2(X0,c25)|p16(f4(X0,X1),X2)|~p2(X0,c25)|~p16(f4(c19,X1),X2)),
% 0.08/0.29    introduced(split_symbol_definition)).
% 0.08/0.29  fof(f118,plain,(
% 0.08/0.29    ![X0,X1,X2]: (p16(f4(X0,c20),c21)|~p2(X0,c25)|p16(f4(X0,X1),X2)|~p2(X0,c25)|~p16(f4(c19,X1),X2)|~spl0_2)),
% 0.08/0.29    inference(component_clause,[status(thm)],[f117])).
% 0.08/0.29  fof(f120,plain,(
% 0.08/0.29    ![X0,X1,X2]: (p16(f4(X0,c20),c21)|~p2(X0,c25)|p16(f4(X0,X1),X2)|~p2(X0,c25)|~p18(c26,c25)|~p16(f4(c19,X1),X2)|~spl0_0)),
% 0.08/0.29    inference(resolution,[status(thm)],[f107,f87])).
% 0.08/0.29  fof(f121,plain,(
% 0.08/0.29    spl0_2|~spl0_1|~spl0_0),
% 0.08/0.29    inference(split_clause,[status(thm)],[f120,f117,f109,f106])).
% 0.08/0.29  fof(f123,plain,(
% 0.08/0.29    ![X0,X1,X2]: (p16(f4(X0,c20),c21)|~p2(X0,c25)|p16(f4(X0,X1),X2)|~p16(f4(c19,X1),X2)|~spl0_2)),
% 0.08/0.29    inference(duplicate_literals_removal,[status(esa)],[f118])).
% 0.08/0.29  fof(f124,plain,(
% 0.08/0.29    ![X0]: (p16(f4(X0,c20),c21)|~p2(X0,c25)|p16(f4(X0,c20),c21)|~spl0_2)),
% 0.08/0.29    inference(resolution,[status(thm)],[f123,f50])).
% 0.08/0.29  fof(f125,plain,(
% 0.08/0.29    ![X0]: (p16(f4(X0,c20),c21)|~p2(X0,c25)|~spl0_2)),
% 0.08/0.29    inference(duplicate_literals_removal,[status(esa)],[f124])).
% 0.08/0.29  fof(f143,plain,(
% 0.08/0.29    ![X0,X1,X2]: (~p2(X0,c25)|p16(X1,X2)|~p3(f4(X0,c20),X1)|~p8(c21,X2)|~spl0_2)),
% 0.08/0.29    inference(resolution,[status(thm)],[f125,f71])).
% 0.08/0.29  fof(f157,plain,(
% 0.08/0.29    ![X0,X1]: (~p2(X0,c25)|p16(X1,c21)|~p3(f4(X0,c20),X1)|~spl0_2)),
% 0.08/0.29    inference(resolution,[status(thm)],[f143,f37])).
% 0.08/0.29  fof(f170,plain,(
% 0.08/0.29    ![X0]: (p16(X0,c21)|~p3(f4(c24,c20),X0)|~spl0_2)),
% 0.08/0.29    inference(resolution,[status(thm)],[f157,f47])).
% 0.08/0.29  fof(f174,plain,(
% 0.08/0.29    ![X0,X1]: (p16(X0,c21)|~p3(X1,f4(c24,c20))|~p3(X1,X0)|~spl0_2)),
% 0.08/0.29    inference(resolution,[status(thm)],[f170,f60])).
% 0.08/0.29  fof(f294,plain,(
% 0.08/0.29    ![X0]: (~p3(X0,f4(c24,c20))|~p3(X0,c22)|~spl0_2)),
% 0.08/0.29    inference(resolution,[status(thm)],[f174,f48])).
% 0.08/0.29  fof(f303,plain,(
% 0.08/0.29    ![X0,X1]: (~p3(X0,f4(c24,c20))|~p3(X1,X0)|~p3(X1,c22)|~spl0_2)),
% 0.08/0.29    inference(resolution,[status(thm)],[f294,f60])).
% 0.08/0.29  fof(f338,plain,(
% 0.08/0.29    ![X0]: (~p3(X0,f4(c24,c20))|~p3(c22,X0)|~spl0_2)),
% 0.08/0.29    inference(resolution,[status(thm)],[f303,f40])).
% 0.08/0.29  fof(f339,plain,(
% 0.08/0.29    ~p3(c23,f4(c24,c20))|~spl0_2),
% 0.08/0.29    inference(resolution,[status(thm)],[f338,f46])).
% 0.08/0.29  fof(f340,plain,(
% 0.08/0.29    $false|~spl0_2),
% 0.08/0.29    inference(forward_subsumption_resolution,[status(thm)],[f339,f49])).
% 0.08/0.29  fof(f341,plain,(
% 0.08/0.29    ~spl0_2),
% 0.08/0.29    inference(contradiction_clause,[status(thm)],[f340])).
% 0.08/0.29  fof(f342,plain,(
% 0.08/0.29    $false),
% 0.08/0.29    inference(sat_refutation,[status(thm)],[f113,f116,f121,f341])).
% 0.08/0.29  % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.51  % Elapsed time: 0.016194 seconds
% 0.12/0.51  % CPU time: 0.077244 seconds
% 0.12/0.51  % Memory used: 2.974 MB
%------------------------------------------------------------------------------