TSTP Solution File: SYN603-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN603-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n002.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 12:47:12 EDT 2023

% Result   : Unsatisfiable 0.16s 0.44s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN603-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n002.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Tue May 30 10:44:28 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.33  % Drodi V3.5.1
% 0.16/0.44  % Refutation found
% 0.16/0.44  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.44  % SZS output start CNFRefutation for theBenchmark
% 0.16/0.44  fof(f2,negated_conjecture,(
% 0.16/0.44    (![X18]: (p2(X18,X18) ))),
% 0.16/0.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44  fof(f3,negated_conjecture,(
% 0.16/0.44    p15(c22,c21) ),
% 0.16/0.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44  fof(f5,negated_conjecture,(
% 0.16/0.44    p2(c22,f9(c20,c23)) ),
% 0.16/0.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44  fof(f6,negated_conjecture,(
% 0.16/0.44    p2(f3(f4(c16)),c17) ),
% 0.16/0.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44  fof(f14,negated_conjecture,(
% 0.16/0.44    (![X19,X20,X18]: (( p2(X19,X20)| ~ p2(X18,X19)| ~ p2(X18,X20) ) ))),
% 0.16/0.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44  fof(f19,negated_conjecture,(
% 0.16/0.44    p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),f3(f4(c16)))) ),
% 0.16/0.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44  fof(f21,negated_conjecture,(
% 0.16/0.44    (![X37,X38,X39,X40]: (( p2(f6(X37,X38),f6(X39,X40))| ~ p2(X37,X39)| ~ p2(X38,X40) ) ))),
% 0.16/0.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44  fof(f26,negated_conjecture,(
% 0.16/0.44    (![X53,X54]: (( ~ p15(X53,c21)| ~ p2(X53,f9(c20,X54))| ~ p2(f7(f8(c21,X53),c20),f6(f5(f4(c16)),c17)) ) ))),
% 0.16/0.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44  fof(f32,plain,(
% 0.16/0.44    ![X0]: (p2(X0,X0))),
% 0.16/0.44    inference(cnf_transformation,[status(esa)],[f2])).
% 0.16/0.44  fof(f33,plain,(
% 0.16/0.44    p15(c22,c21)),
% 0.16/0.44    inference(cnf_transformation,[status(esa)],[f3])).
% 0.16/0.44  fof(f35,plain,(
% 0.16/0.44    p2(c22,f9(c20,c23))),
% 0.16/0.44    inference(cnf_transformation,[status(esa)],[f5])).
% 0.16/0.44  fof(f36,plain,(
% 0.16/0.44    p2(f3(f4(c16)),c17)),
% 0.16/0.44    inference(cnf_transformation,[status(esa)],[f6])).
% 0.16/0.44  fof(f44,plain,(
% 0.16/0.44    ![X20,X18]: ((![X19]: (p2(X19,X20)|~p2(X18,X19)))|~p2(X18,X20))),
% 0.16/0.44    inference(miniscoping,[status(esa)],[f14])).
% 0.16/0.44  fof(f45,plain,(
% 0.16/0.44    ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.16/0.44    inference(cnf_transformation,[status(esa)],[f44])).
% 0.16/0.44  fof(f52,plain,(
% 0.16/0.44    p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),f3(f4(c16))))),
% 0.16/0.44    inference(cnf_transformation,[status(esa)],[f19])).
% 0.16/0.44  fof(f55,plain,(
% 0.16/0.44    ![X38,X40]: ((![X37,X39]: (p2(f6(X37,X38),f6(X39,X40))|~p2(X37,X39)))|~p2(X38,X40))),
% 0.16/0.44    inference(miniscoping,[status(esa)],[f21])).
% 0.16/0.44  fof(f56,plain,(
% 0.16/0.44    ![X0,X1,X2,X3]: (p2(f6(X0,X1),f6(X2,X3))|~p2(X0,X2)|~p2(X1,X3))),
% 0.16/0.44    inference(cnf_transformation,[status(esa)],[f55])).
% 0.16/0.44  fof(f64,plain,(
% 0.16/0.44    ![X53]: ((~p15(X53,c21)|(![X54]: ~p2(X53,f9(c20,X54))))|~p2(f7(f8(c21,X53),c20),f6(f5(f4(c16)),c17)))),
% 0.16/0.44    inference(miniscoping,[status(esa)],[f26])).
% 0.16/0.44  fof(f65,plain,(
% 0.16/0.44    ![X0,X1]: (~p15(X0,c21)|~p2(X0,f9(c20,X1))|~p2(f7(f8(c21,X0),c20),f6(f5(f4(c16)),c17)))),
% 0.16/0.44    inference(cnf_transformation,[status(esa)],[f64])).
% 0.16/0.44  fof(f74,plain,(
% 0.16/0.44    ![X0,X1,X2]: (~p15(X0,c21)|~p2(X0,f9(c20,X1))|~p2(X2,f7(f8(c21,X0),c20))|~p2(X2,f6(f5(f4(c16)),c17)))),
% 0.16/0.44    inference(resolution,[status(thm)],[f65,f45])).
% 0.16/0.44  fof(f76,plain,(
% 0.16/0.44    spl0_0 <=> ~p2(c22,f9(c20,X0))),
% 0.16/0.44    introduced(split_symbol_definition)).
% 0.16/0.44  fof(f77,plain,(
% 0.16/0.44    ![X0]: (~p2(c22,f9(c20,X0))|~spl0_0)),
% 0.16/0.44    inference(component_clause,[status(thm)],[f76])).
% 0.16/0.44  fof(f79,plain,(
% 0.16/0.44    spl0_1 <=> ~p2(X1,f7(f8(c21,c22),c20))|~p2(X1,f6(f5(f4(c16)),c17))),
% 0.16/0.44    introduced(split_symbol_definition)).
% 0.16/0.44  fof(f80,plain,(
% 0.16/0.44    ![X0]: (~p2(X0,f7(f8(c21,c22),c20))|~p2(X0,f6(f5(f4(c16)),c17))|~spl0_1)),
% 0.16/0.44    inference(component_clause,[status(thm)],[f79])).
% 0.16/0.44  fof(f82,plain,(
% 0.16/0.44    ![X0,X1]: (~p2(c22,f9(c20,X0))|~p2(X1,f7(f8(c21,c22),c20))|~p2(X1,f6(f5(f4(c16)),c17)))),
% 0.16/0.44    inference(resolution,[status(thm)],[f74,f33])).
% 0.16/0.44  fof(f83,plain,(
% 0.16/0.44    spl0_0|spl0_1),
% 0.16/0.44    inference(split_clause,[status(thm)],[f82,f76,f79])).
% 0.16/0.44  fof(f85,plain,(
% 0.16/0.44    $false|~spl0_0),
% 0.16/0.44    inference(backward_subsumption_resolution,[status(thm)],[f35,f77])).
% 0.16/0.44  fof(f86,plain,(
% 0.16/0.44    ~spl0_0),
% 0.16/0.44    inference(contradiction_clause,[status(thm)],[f85])).
% 0.16/0.44  fof(f94,plain,(
% 0.16/0.44    ![X0,X1]: (~p2(f6(X0,X1),f7(f8(c21,c22),c20))|~p2(X0,f5(f4(c16)))|~p2(X1,c17)|~spl0_1)),
% 0.16/0.44    inference(resolution,[status(thm)],[f80,f56])).
% 0.16/0.44  fof(f98,plain,(
% 0.16/0.44    ![X0,X1,X2]: (~p2(X0,f5(f4(c16)))|~p2(X1,c17)|~p2(X2,f6(X0,X1))|~p2(X2,f7(f8(c21,c22),c20))|~spl0_1)),
% 0.16/0.44    inference(resolution,[status(thm)],[f94,f45])).
% 0.16/0.44  fof(f107,plain,(
% 0.16/0.44    ![X0,X1]: (~p2(X0,f5(f4(c16)))|~p2(X1,c17)|~p2(f7(f8(c21,c22),c20),f6(X0,X1))|~spl0_1)),
% 0.16/0.44    inference(resolution,[status(thm)],[f98,f32])).
% 0.16/0.44  fof(f217,plain,(
% 0.16/0.44    spl0_13 <=> p2(f5(f4(c16)),f5(f4(c16)))),
% 0.16/0.44    introduced(split_symbol_definition)).
% 0.16/0.44  fof(f219,plain,(
% 0.16/0.44    ~p2(f5(f4(c16)),f5(f4(c16)))|spl0_13),
% 0.16/0.44    inference(component_clause,[status(thm)],[f217])).
% 0.16/0.44  fof(f220,plain,(
% 0.16/0.44    spl0_14 <=> p2(f3(f4(c16)),c17)),
% 0.16/0.44    introduced(split_symbol_definition)).
% 0.16/0.44  fof(f222,plain,(
% 0.16/0.44    ~p2(f3(f4(c16)),c17)|spl0_14),
% 0.16/0.44    inference(component_clause,[status(thm)],[f220])).
% 0.16/0.44  fof(f223,plain,(
% 0.16/0.44    ~p2(f5(f4(c16)),f5(f4(c16)))|~p2(f3(f4(c16)),c17)|~spl0_1),
% 0.16/0.44    inference(resolution,[status(thm)],[f107,f52])).
% 0.16/0.44  fof(f224,plain,(
% 0.16/0.44    ~spl0_13|~spl0_14|~spl0_1),
% 0.16/0.44    inference(split_clause,[status(thm)],[f223,f217,f220,f79])).
% 0.16/0.44  fof(f226,plain,(
% 0.16/0.44    $false|spl0_13),
% 0.16/0.44    inference(forward_subsumption_resolution,[status(thm)],[f219,f32])).
% 0.16/0.44  fof(f227,plain,(
% 0.16/0.44    spl0_13),
% 0.16/0.44    inference(contradiction_clause,[status(thm)],[f226])).
% 0.16/0.44  fof(f228,plain,(
% 0.16/0.44    $false|spl0_14),
% 0.16/0.44    inference(forward_subsumption_resolution,[status(thm)],[f222,f36])).
% 0.16/0.44  fof(f229,plain,(
% 0.16/0.44    spl0_14),
% 0.16/0.44    inference(contradiction_clause,[status(thm)],[f228])).
% 0.16/0.44  fof(f230,plain,(
% 0.16/0.44    $false),
% 0.16/0.44    inference(sat_refutation,[status(thm)],[f83,f86,f224,f227,f229])).
% 0.16/0.44  % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.47  % Elapsed time: 0.134630 seconds
% 0.16/0.47  % CPU time: 0.479146 seconds
% 0.16/0.47  % Memory used: 36.869 MB
%------------------------------------------------------------------------------