TSTP Solution File: SYN347-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN347-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 20:51:58 EDT 2024

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN347-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 22:18:29 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36  fof(f1,negated_conjecture,(
% 0.13/0.36    (![X1,X2]: (( f(X1,y(X1,X2))| ~ f(X2,y(X1,X2))| f(a,b) ) ))),
% 0.13/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f2,negated_conjecture,(
% 0.13/0.36    (![X1,X2]: (( ~ f(X1,y(X1,X2))| f(X2,y(X1,X2))| f(a,b) ) ))),
% 0.13/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f3,negated_conjecture,(
% 0.13/0.36    (![X1,X2]: (( ~ f(X1,y(X1,X2))| ~ f(X2,y(X1,X2))| ~ f(a,b) ) ))),
% 0.13/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f4,negated_conjecture,(
% 0.13/0.36    (![X1,X2]: (( f(X1,y(X1,X2))| f(X2,y(X1,X2))| ~ f(a,b) ) ))),
% 0.13/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f5,negated_conjecture,(
% 0.13/0.36    (![X1,X2]: (( f(a,y(X1,X2))| f(b,y(X1,X2)) ) ))),
% 0.13/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f6,negated_conjecture,(
% 0.13/0.36    (![X1,X2]: (( ~ f(a,y(X1,X2))| ~ f(b,y(X1,X2)) ) ))),
% 0.13/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f7,plain,(
% 0.13/0.36    (![X1,X2]: (f(X1,y(X1,X2))|~f(X2,y(X1,X2))))|f(a,b)),
% 0.13/0.36    inference(miniscoping,[status(esa)],[f1])).
% 0.13/0.36  fof(f8,plain,(
% 0.13/0.36    ![X0,X1]: (f(X0,y(X0,X1))|~f(X1,y(X0,X1))|f(a,b))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.36  fof(f9,plain,(
% 0.13/0.36    (![X1,X2]: (~f(X1,y(X1,X2))|f(X2,y(X1,X2))))|f(a,b)),
% 0.13/0.36    inference(miniscoping,[status(esa)],[f2])).
% 0.13/0.36  fof(f10,plain,(
% 0.13/0.36    ![X0,X1]: (~f(X0,y(X0,X1))|f(X1,y(X0,X1))|f(a,b))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f9])).
% 0.13/0.36  fof(f11,plain,(
% 0.13/0.36    (![X1,X2]: (~f(X1,y(X1,X2))|~f(X2,y(X1,X2))))|~f(a,b)),
% 0.13/0.36    inference(miniscoping,[status(esa)],[f3])).
% 0.13/0.36  fof(f12,plain,(
% 0.13/0.36    ![X0,X1]: (~f(X0,y(X0,X1))|~f(X1,y(X0,X1))|~f(a,b))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f11])).
% 0.13/0.36  fof(f13,plain,(
% 0.13/0.36    (![X1,X2]: (f(X1,y(X1,X2))|f(X2,y(X1,X2))))|~f(a,b)),
% 0.13/0.36    inference(miniscoping,[status(esa)],[f4])).
% 0.13/0.36  fof(f14,plain,(
% 0.13/0.36    ![X0,X1]: (f(X0,y(X0,X1))|f(X1,y(X0,X1))|~f(a,b))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f13])).
% 0.13/0.36  fof(f15,plain,(
% 0.13/0.36    ![X0,X1]: (f(a,y(X0,X1))|f(b,y(X0,X1)))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.36  fof(f16,plain,(
% 0.13/0.36    ![X0,X1]: (~f(a,y(X0,X1))|~f(b,y(X0,X1)))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.36  fof(f17,plain,(
% 0.13/0.36    spl0_0 <=> f(X0,y(X0,X1))|~f(X1,y(X0,X1))),
% 0.13/0.36    introduced(split_symbol_definition)).
% 0.13/0.36  fof(f18,plain,(
% 0.13/0.36    ![X0,X1]: (f(X0,y(X0,X1))|~f(X1,y(X0,X1))|~spl0_0)),
% 0.13/0.36    inference(component_clause,[status(thm)],[f17])).
% 0.13/0.36  fof(f20,plain,(
% 0.13/0.36    spl0_1 <=> f(a,b)),
% 0.13/0.36    introduced(split_symbol_definition)).
% 0.13/0.36  fof(f23,plain,(
% 0.13/0.36    spl0_0|spl0_1),
% 0.13/0.36    inference(split_clause,[status(thm)],[f8,f17,f20])).
% 0.13/0.36  fof(f24,plain,(
% 0.13/0.36    spl0_2 <=> ~f(X0,y(X0,X1))|f(X1,y(X0,X1))),
% 0.13/0.36    introduced(split_symbol_definition)).
% 0.13/0.36  fof(f25,plain,(
% 0.13/0.36    ![X0,X1]: (~f(X0,y(X0,X1))|f(X1,y(X0,X1))|~spl0_2)),
% 0.13/0.36    inference(component_clause,[status(thm)],[f24])).
% 0.13/0.36  fof(f27,plain,(
% 0.13/0.36    spl0_2|spl0_1),
% 0.13/0.36    inference(split_clause,[status(thm)],[f10,f24,f20])).
% 0.13/0.36  fof(f28,plain,(
% 0.13/0.36    spl0_3 <=> ~f(X0,y(X0,X1))|~f(X1,y(X0,X1))),
% 0.13/0.36    introduced(split_symbol_definition)).
% 0.13/0.36  fof(f29,plain,(
% 0.13/0.36    ![X0,X1]: (~f(X0,y(X0,X1))|~f(X1,y(X0,X1))|~spl0_3)),
% 0.13/0.36    inference(component_clause,[status(thm)],[f28])).
% 0.13/0.36  fof(f31,plain,(
% 0.13/0.36    spl0_3|~spl0_1),
% 0.13/0.36    inference(split_clause,[status(thm)],[f12,f28,f20])).
% 0.13/0.36  fof(f32,plain,(
% 0.13/0.36    spl0_4 <=> f(X0,y(X0,X1))|f(X1,y(X0,X1))),
% 0.13/0.36    introduced(split_symbol_definition)).
% 0.13/0.36  fof(f33,plain,(
% 0.13/0.36    ![X0,X1]: (f(X0,y(X0,X1))|f(X1,y(X0,X1))|~spl0_4)),
% 0.13/0.36    inference(component_clause,[status(thm)],[f32])).
% 0.13/0.36  fof(f35,plain,(
% 0.13/0.36    spl0_4|~spl0_1),
% 0.13/0.36    inference(split_clause,[status(thm)],[f14,f32,f20])).
% 0.13/0.36  fof(f41,plain,(
% 0.13/0.36    ![X0]: (f(X0,y(X0,X0))|~spl0_4)),
% 0.13/0.36    inference(factoring,[status(esa)],[f33])).
% 0.13/0.36  fof(f42,plain,(
% 0.13/0.36    ![X0]: (~f(X0,y(X0,X0))|~spl0_3|~spl0_4)),
% 0.13/0.36    inference(resolution,[status(thm)],[f29,f41])).
% 0.13/0.36  fof(f43,plain,(
% 0.13/0.36    $false|~spl0_3|~spl0_4),
% 0.13/0.36    inference(forward_subsumption_resolution,[status(thm)],[f42,f41])).
% 0.13/0.36  fof(f44,plain,(
% 0.13/0.36    ~spl0_3|~spl0_4),
% 0.13/0.36    inference(contradiction_clause,[status(thm)],[f43])).
% 0.13/0.36  fof(f45,plain,(
% 0.13/0.36    ![X0]: (f(a,y(X0,b))|f(X0,y(X0,b))|~spl0_0)),
% 0.13/0.36    inference(resolution,[status(thm)],[f15,f18])).
% 0.13/0.36  fof(f48,plain,(
% 0.13/0.36    ~f(b,y(a,b))|~spl0_0),
% 0.13/0.36    inference(resolution,[status(thm)],[f45,f16])).
% 0.13/0.36  fof(f66,plain,(
% 0.13/0.36    f(a,y(a,b))|~spl0_0),
% 0.13/0.36    inference(factoring,[status(esa)],[f45])).
% 0.13/0.36  fof(f77,plain,(
% 0.13/0.36    f(b,y(a,b))|~spl0_0|~spl0_2),
% 0.13/0.36    inference(resolution,[status(thm)],[f66,f25])).
% 0.13/0.36  fof(f78,plain,(
% 0.13/0.36    $false|~spl0_0|~spl0_2),
% 0.13/0.36    inference(forward_subsumption_resolution,[status(thm)],[f77,f48])).
% 0.13/0.36  fof(f79,plain,(
% 0.13/0.36    ~spl0_0|~spl0_2),
% 0.13/0.36    inference(contradiction_clause,[status(thm)],[f78])).
% 0.13/0.36  fof(f80,plain,(
% 0.13/0.36    $false),
% 0.13/0.36    inference(sat_refutation,[status(thm)],[f23,f27,f31,f35,f44,f79])).
% 0.13/0.36  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37  % Elapsed time: 0.017400 seconds
% 0.13/0.37  % CPU time: 0.042166 seconds
% 0.13/0.37  % Total memory used: 2.311 MB
% 0.13/0.37  % Net memory used: 2.271 MB
%------------------------------------------------------------------------------