TSTP Solution File: SYN623-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% 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 : n018.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 20:52:40 EDT 2024

% Result   : Unsatisfiable 0.14s 0.34s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYN623-1 : 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 : n018.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 : Mon Apr 29 22:07:57 EDT 2024
% 0.09/0.29  % CPUTime  : 
% 0.09/0.30  % Drodi V3.6.0
% 0.14/0.34  % Refutation found
% 0.14/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.34  % SZS output start CNFRefutation for theBenchmark
% 0.14/0.34  fof(f2,negated_conjecture,(
% 0.14/0.34    (![X58]: (p8(X58,X58) ))),
% 0.14/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34  fof(f5,negated_conjecture,(
% 0.14/0.34    (![X37]: (p3(X37,X37) ))),
% 0.14/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34  fof(f10,negated_conjecture,(
% 0.14/0.34    p18(c26,c25) ),
% 0.14/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34  fof(f11,negated_conjecture,(
% 0.14/0.34    p3(c22,c23) ),
% 0.14/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34  fof(f12,negated_conjecture,(
% 0.14/0.34    p2(c24,c25) ),
% 0.14/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34  fof(f13,negated_conjecture,(
% 0.14/0.34    ~ p16(c22,c21) ),
% 0.14/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34  fof(f14,negated_conjecture,(
% 0.14/0.34    p3(c23,f4(c24,c20)) ),
% 0.14/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34  fof(f15,negated_conjecture,(
% 0.14/0.34    p16(f4(c19,c20),c21) ),
% 0.14/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34  fof(f20,negated_conjecture,(
% 0.14/0.34    (![X38,X39,X37]: (( p3(X38,X39)| ~ p3(X37,X38)| ~ p3(X37,X39) ) ))),
% 0.14/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34  fof(f25,negated_conjecture,(
% 0.14/0.34    (![X21,X22]: (( p16(f4(c25,X21),X22)| ~ p16(f4(f6(c27,c25),X21),X22) ) ))),
% 0.14/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34  fof(f26,negated_conjecture,(
% 0.14/0.34    (![X13,X14,X15,X16]: (( p16(X13,X14)| ~ p3(X15,X13)| ~ p8(X16,X14)| ~ p16(X15,X16) ) ))),
% 0.14/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34  fof(f34,negated_conjecture,(
% 0.14/0.34    (![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)) ) ))),
% 0.14/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34  fof(f35,negated_conjecture,(
% 0.14/0.34    (![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) ) ))),
% 0.14/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34  fof(f37,plain,(
% 0.14/0.34    ![X0]: (p8(X0,X0))),
% 0.14/0.34    inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.34  fof(f40,plain,(
% 0.14/0.34    ![X0]: (p3(X0,X0))),
% 0.14/0.34    inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.34  fof(f45,plain,(
% 0.14/0.34    p18(c26,c25)),
% 0.14/0.34    inference(cnf_transformation,[status(esa)],[f10])).
% 0.14/0.34  fof(f46,plain,(
% 0.14/0.34    p3(c22,c23)),
% 0.14/0.34    inference(cnf_transformation,[status(esa)],[f11])).
% 0.14/0.34  fof(f47,plain,(
% 0.14/0.34    p2(c24,c25)),
% 0.14/0.34    inference(cnf_transformation,[status(esa)],[f12])).
% 0.14/0.34  fof(f48,plain,(
% 0.14/0.34    ~p16(c22,c21)),
% 0.14/0.34    inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.34  fof(f49,plain,(
% 0.14/0.34    p3(c23,f4(c24,c20))),
% 0.14/0.34    inference(cnf_transformation,[status(esa)],[f14])).
% 0.14/0.34  fof(f50,plain,(
% 0.14/0.34    p16(f4(c19,c20),c21)),
% 0.14/0.34    inference(cnf_transformation,[status(esa)],[f15])).
% 0.14/0.34  fof(f59,plain,(
% 0.14/0.34    ![X39,X37]: ((![X38]: (p3(X38,X39)|~p3(X37,X38)))|~p3(X37,X39))),
% 0.14/0.34    inference(miniscoping,[status(esa)],[f20])).
% 0.14/0.34  fof(f60,plain,(
% 0.14/0.34    ![X0,X1,X2]: (p3(X0,X1)|~p3(X2,X0)|~p3(X2,X1))),
% 0.14/0.34    inference(cnf_transformation,[status(esa)],[f59])).
% 0.14/0.34  fof(f69,plain,(
% 0.14/0.34    ![X0,X1]: (p16(f4(c25,X0),X1)|~p16(f4(f6(c27,c25),X0),X1))),
% 0.14/0.34    inference(cnf_transformation,[status(esa)],[f25])).
% 0.14/0.34  fof(f70,plain,(
% 0.14/0.34    ![X15,X16]: ((![X14]: ((![X13]: (p16(X13,X14)|~p3(X15,X13)))|~p8(X16,X14)))|~p16(X15,X16))),
% 0.14/0.34    inference(miniscoping,[status(esa)],[f26])).
% 0.14/0.34  fof(f71,plain,(
% 0.14/0.34    ![X0,X1,X2,X3]: (p16(X0,X1)|~p3(X2,X0)|~p8(X3,X1)|~p16(X2,X3))),
% 0.14/0.34    inference(cnf_transformation,[status(esa)],[f70])).
% 0.14/0.34  fof(f86,plain,(
% 0.14/0.34    ![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)))),
% 0.14/0.34    inference(miniscoping,[status(esa)],[f34])).
% 0.14/0.34  fof(f87,plain,(
% 0.14/0.34    ![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)))),
% 0.14/0.34    inference(cnf_transformation,[status(esa)],[f86])).
% 0.14/0.34  fof(f88,plain,(
% 0.14/0.34    ![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))),
% 0.14/0.34    inference(miniscoping,[status(esa)],[f35])).
% 0.14/0.34  fof(f89,plain,(
% 0.14/0.34    ![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))),
% 0.14/0.34    inference(cnf_transformation,[status(esa)],[f88])).
% 0.14/0.34  fof(f90,plain,(
% 0.14/0.34    ![X0]: (p3(c23,X0)|~p3(c22,X0))),
% 0.14/0.34    inference(resolution,[status(thm)],[f46,f60])).
% 0.14/0.34  fof(f96,plain,(
% 0.14/0.34    ![X0]: (p3(f4(c24,c20),X0)|~p3(c23,X0))),
% 0.14/0.34    inference(resolution,[status(thm)],[f49,f60])).
% 0.14/0.34  fof(f98,plain,(
% 0.14/0.34    p3(c23,c22)),
% 0.14/0.34    inference(resolution,[status(thm)],[f90,f40])).
% 0.14/0.34  fof(f99,plain,(
% 0.14/0.34    ![X0,X1]: (p16(c22,X0)|~p8(X1,X0)|~p16(c23,X1))),
% 0.14/0.34    inference(resolution,[status(thm)],[f98,f71])).
% 0.14/0.34  fof(f127,plain,(
% 0.14/0.34    p3(f4(c24,c20),c23)),
% 0.14/0.34    inference(resolution,[status(thm)],[f96,f40])).
% 0.14/0.34  fof(f130,plain,(
% 0.14/0.34    ![X0,X1]: (p16(c23,X0)|~p8(X1,X0)|~p16(f4(c24,c20),X1))),
% 0.14/0.34    inference(resolution,[status(thm)],[f127,f71])).
% 0.14/0.34  fof(f132,plain,(
% 0.14/0.34    ![X0]: (p16(c22,X0)|~p16(c23,X0))),
% 0.14/0.34    inference(resolution,[status(thm)],[f99,f37])).
% 0.14/0.34  fof(f186,plain,(
% 0.14/0.34    ![X0,X1]: (p16(f4(X0,c20),c21)|~p2(X0,X1)|~p18(c26,X1)|~p16(f4(X1,f13(f15(c28,X0),X1)),f9(f11(c29,X0),X1)))),
% 0.14/0.34    inference(resolution,[status(thm)],[f87,f50])).
% 0.14/0.34  fof(f198,plain,(
% 0.14/0.34    spl0_3 <=> p16(f4(c24,X0),X1)|~p16(f4(c19,X0),X1)),
% 0.14/0.34    introduced(split_symbol_definition)).
% 0.14/0.34  fof(f199,plain,(
% 0.14/0.34    ![X0,X1]: (p16(f4(c24,X0),X1)|~p16(f4(c19,X0),X1)|~spl0_3)),
% 0.14/0.34    inference(component_clause,[status(thm)],[f198])).
% 0.14/0.34  fof(f201,plain,(
% 0.14/0.34    spl0_4 <=> p16(f4(f6(c27,c25),f13(f15(c28,c24),c25)),f9(f11(c29,c24),c25))),
% 0.14/0.34    introduced(split_symbol_definition)).
% 0.14/0.34  fof(f202,plain,(
% 0.14/0.34    p16(f4(f6(c27,c25),f13(f15(c28,c24),c25)),f9(f11(c29,c24),c25))|~spl0_4),
% 0.14/0.34    inference(component_clause,[status(thm)],[f201])).
% 0.14/0.34  fof(f204,plain,(
% 0.14/0.34    spl0_5 <=> p18(c26,c25)),
% 0.14/0.34    introduced(split_symbol_definition)).
% 0.14/0.34  fof(f206,plain,(
% 0.14/0.34    ~p18(c26,c25)|spl0_5),
% 0.14/0.34    inference(component_clause,[status(thm)],[f204])).
% 0.14/0.34  fof(f207,plain,(
% 0.14/0.34    ![X0,X1]: (p16(f4(c24,X0),X1)|p16(f4(f6(c27,c25),f13(f15(c28,c24),c25)),f9(f11(c29,c24),c25))|~p18(c26,c25)|~p16(f4(c19,X0),X1))),
% 0.14/0.34    inference(resolution,[status(thm)],[f89,f47])).
% 0.14/0.34  fof(f208,plain,(
% 0.14/0.34    spl0_3|spl0_4|~spl0_5),
% 0.14/0.34    inference(split_clause,[status(thm)],[f207,f198,f201,f204])).
% 0.14/0.34  fof(f210,plain,(
% 0.14/0.34    $false|spl0_5),
% 0.14/0.34    inference(forward_subsumption_resolution,[status(thm)],[f206,f45])).
% 0.14/0.34  fof(f211,plain,(
% 0.14/0.34    spl0_5),
% 0.14/0.34    inference(contradiction_clause,[status(thm)],[f210])).
% 0.14/0.34  fof(f374,plain,(
% 0.14/0.34    ![X0]: (p16(c23,X0)|~p16(f4(c24,c20),X0))),
% 0.14/0.34    inference(resolution,[status(thm)],[f130,f37])).
% 0.14/0.34  fof(f375,plain,(
% 0.14/0.34    p16(f4(c24,c20),c21)|~spl0_3),
% 0.14/0.34    inference(resolution,[status(thm)],[f199,f50])).
% 0.14/0.34  fof(f377,plain,(
% 0.14/0.34    p16(c23,c21)|~spl0_3),
% 0.14/0.34    inference(resolution,[status(thm)],[f374,f375])).
% 0.14/0.34  fof(f379,plain,(
% 0.14/0.34    p16(c22,c21)|~spl0_3),
% 0.14/0.34    inference(resolution,[status(thm)],[f377,f132])).
% 0.14/0.34  fof(f380,plain,(
% 0.14/0.34    $false|~spl0_3),
% 0.14/0.34    inference(forward_subsumption_resolution,[status(thm)],[f379,f48])).
% 0.14/0.34  fof(f381,plain,(
% 0.14/0.34    ~spl0_3),
% 0.14/0.34    inference(contradiction_clause,[status(thm)],[f380])).
% 0.14/0.34  fof(f382,plain,(
% 0.14/0.34    p16(f4(c25,f13(f15(c28,c24),c25)),f9(f11(c29,c24),c25))|~spl0_4),
% 0.14/0.34    inference(resolution,[status(thm)],[f202,f69])).
% 0.14/0.34  fof(f383,plain,(
% 0.14/0.34    spl0_8 <=> p16(f4(c24,c20),c21)),
% 0.14/0.34    introduced(split_symbol_definition)).
% 0.14/0.34  fof(f384,plain,(
% 0.14/0.34    p16(f4(c24,c20),c21)|~spl0_8),
% 0.14/0.34    inference(component_clause,[status(thm)],[f383])).
% 0.14/0.34  fof(f386,plain,(
% 0.14/0.34    spl0_9 <=> p2(c24,c25)),
% 0.14/0.34    introduced(split_symbol_definition)).
% 0.14/0.34  fof(f388,plain,(
% 0.14/0.34    ~p2(c24,c25)|spl0_9),
% 0.14/0.34    inference(component_clause,[status(thm)],[f386])).
% 0.14/0.34  fof(f389,plain,(
% 0.14/0.34    p16(f4(c24,c20),c21)|~p2(c24,c25)|~p18(c26,c25)|~spl0_4),
% 0.14/0.34    inference(resolution,[status(thm)],[f382,f186])).
% 0.14/0.34  fof(f390,plain,(
% 0.14/0.34    spl0_8|~spl0_9|~spl0_5|~spl0_4),
% 0.14/0.34    inference(split_clause,[status(thm)],[f389,f383,f386,f204,f201])).
% 0.14/0.34  fof(f391,plain,(
% 0.14/0.34    $false|spl0_9),
% 0.14/0.34    inference(forward_subsumption_resolution,[status(thm)],[f388,f47])).
% 0.14/0.34  fof(f392,plain,(
% 0.14/0.34    spl0_9),
% 0.14/0.34    inference(contradiction_clause,[status(thm)],[f391])).
% 0.14/0.34  fof(f393,plain,(
% 0.14/0.34    p16(c23,c21)|~spl0_8),
% 0.14/0.34    inference(resolution,[status(thm)],[f384,f374])).
% 0.14/0.34  fof(f395,plain,(
% 0.14/0.34    p16(c22,c21)|~spl0_8),
% 0.14/0.34    inference(resolution,[status(thm)],[f393,f132])).
% 0.14/0.34  fof(f396,plain,(
% 0.14/0.34    $false|~spl0_8),
% 0.14/0.34    inference(forward_subsumption_resolution,[status(thm)],[f395,f48])).
% 0.14/0.34  fof(f397,plain,(
% 0.14/0.34    ~spl0_8),
% 0.14/0.34    inference(contradiction_clause,[status(thm)],[f396])).
% 0.14/0.34  fof(f398,plain,(
% 0.14/0.34    $false),
% 0.14/0.34    inference(sat_refutation,[status(thm)],[f208,f211,f381,f390,f392,f397])).
% 0.14/0.34  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.37  % Elapsed time: 0.058495 seconds
% 0.14/0.37  % CPU time: 0.361549 seconds
% 0.14/0.37  % Total memory used: 14.642 MB
% 0.14/0.37  % Net memory used: 14.356 MB
%------------------------------------------------------------------------------