TSTP Solution File: SYN084-2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN084-2 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 20:51:17 EDT 2024

% Result   : Unsatisfiable 0.15s 0.36s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN084-2 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35  % Computer : n021.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Mon Apr 29 22:05:10 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.15/0.36  % Drodi V3.6.0
% 0.15/0.36  % Refutation found
% 0.15/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.36  % SZS output start CNFRefutation for theBenchmark
% 0.15/0.36  fof(f1,negated_conjecture,(
% 0.15/0.36    big_p(a) ),
% 0.15/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36  fof(f2,negated_conjecture,(
% 0.15/0.36    (![A]: (( big_p(f(f(A)))| big_p(A)| ~ big_p(a) ) ))),
% 0.15/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36  fof(f3,negated_conjecture,(
% 0.15/0.36    (![A]: (( big_p(f(f(A)))| ~ big_p(f(A))| ~ big_p(a) ) ))),
% 0.15/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36  fof(f4,negated_conjecture,(
% 0.15/0.36    ( ~ big_p(f(f(sk1)))| ~ big_p(f(f(sk2))) ) ),
% 0.15/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36  fof(f5,negated_conjecture,(
% 0.15/0.36    ( big_p(f(sk1))| big_p(f(sk2))| ~ big_p(sk1)| ~ big_p(sk2) ) ),
% 0.15/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36  fof(f6,negated_conjecture,(
% 0.15/0.36    ( big_p(f(sk1))| ~ big_p(sk1)| ~ big_p(f(f(sk2))) ) ),
% 0.15/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36  fof(f7,negated_conjecture,(
% 0.15/0.36    ( big_p(f(sk2))| ~ big_p(sk2)| ~ big_p(f(f(sk1))) ) ),
% 0.15/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36  fof(f8,plain,(
% 0.15/0.36    big_p(a)),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f1])).
% 0.15/0.36  fof(f9,plain,(
% 0.15/0.36    (![A]: (big_p(f(f(A)))|big_p(A)))|~big_p(a)),
% 0.15/0.36    inference(miniscoping,[status(esa)],[f2])).
% 0.15/0.36  fof(f10,plain,(
% 0.15/0.36    ![X0]: (big_p(f(f(X0)))|big_p(X0)|~big_p(a))),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f9])).
% 0.15/0.36  fof(f11,plain,(
% 0.15/0.36    (![A]: (big_p(f(f(A)))|~big_p(f(A))))|~big_p(a)),
% 0.15/0.36    inference(miniscoping,[status(esa)],[f3])).
% 0.15/0.36  fof(f12,plain,(
% 0.15/0.36    ![X0]: (big_p(f(f(X0)))|~big_p(f(X0))|~big_p(a))),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f11])).
% 0.15/0.36  fof(f13,plain,(
% 0.15/0.36    ~big_p(f(f(sk1)))|~big_p(f(f(sk2)))),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f4])).
% 0.15/0.36  fof(f14,plain,(
% 0.15/0.36    big_p(f(sk1))|big_p(f(sk2))|~big_p(sk1)|~big_p(sk2)),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f5])).
% 0.15/0.36  fof(f15,plain,(
% 0.15/0.36    big_p(f(sk1))|~big_p(sk1)|~big_p(f(f(sk2)))),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f6])).
% 0.15/0.36  fof(f16,plain,(
% 0.15/0.36    big_p(f(sk2))|~big_p(sk2)|~big_p(f(f(sk1)))),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.36  fof(f17,plain,(
% 0.15/0.36    spl0_0 <=> big_p(f(f(X0)))|big_p(X0)),
% 0.15/0.36    introduced(split_symbol_definition)).
% 0.15/0.36  fof(f18,plain,(
% 0.15/0.36    ![X0]: (big_p(f(f(X0)))|big_p(X0)|~spl0_0)),
% 0.15/0.36    inference(component_clause,[status(thm)],[f17])).
% 0.15/0.36  fof(f20,plain,(
% 0.15/0.36    spl0_1 <=> big_p(a)),
% 0.15/0.36    introduced(split_symbol_definition)).
% 0.15/0.36  fof(f22,plain,(
% 0.15/0.36    ~big_p(a)|spl0_1),
% 0.15/0.36    inference(component_clause,[status(thm)],[f20])).
% 0.15/0.36  fof(f23,plain,(
% 0.15/0.36    spl0_0|~spl0_1),
% 0.15/0.36    inference(split_clause,[status(thm)],[f10,f17,f20])).
% 0.15/0.36  fof(f24,plain,(
% 0.15/0.36    spl0_2 <=> big_p(f(f(X0)))|~big_p(f(X0))),
% 0.15/0.36    introduced(split_symbol_definition)).
% 0.15/0.36  fof(f25,plain,(
% 0.15/0.36    ![X0]: (big_p(f(f(X0)))|~big_p(f(X0))|~spl0_2)),
% 0.15/0.36    inference(component_clause,[status(thm)],[f24])).
% 0.15/0.36  fof(f27,plain,(
% 0.15/0.36    spl0_2|~spl0_1),
% 0.15/0.36    inference(split_clause,[status(thm)],[f12,f24,f20])).
% 0.15/0.36  fof(f28,plain,(
% 0.15/0.36    spl0_3 <=> big_p(f(f(sk1)))),
% 0.15/0.36    introduced(split_symbol_definition)).
% 0.15/0.36  fof(f30,plain,(
% 0.15/0.36    ~big_p(f(f(sk1)))|spl0_3),
% 0.15/0.36    inference(component_clause,[status(thm)],[f28])).
% 0.15/0.36  fof(f31,plain,(
% 0.15/0.36    spl0_4 <=> big_p(f(f(sk2)))),
% 0.15/0.36    introduced(split_symbol_definition)).
% 0.15/0.36  fof(f33,plain,(
% 0.15/0.36    ~big_p(f(f(sk2)))|spl0_4),
% 0.15/0.36    inference(component_clause,[status(thm)],[f31])).
% 0.15/0.36  fof(f34,plain,(
% 0.15/0.36    ~spl0_3|~spl0_4),
% 0.15/0.36    inference(split_clause,[status(thm)],[f13,f28,f31])).
% 0.15/0.36  fof(f35,plain,(
% 0.15/0.36    spl0_5 <=> big_p(f(sk1))),
% 0.15/0.36    introduced(split_symbol_definition)).
% 0.15/0.36  fof(f36,plain,(
% 0.15/0.36    big_p(f(sk1))|~spl0_5),
% 0.15/0.36    inference(component_clause,[status(thm)],[f35])).
% 0.15/0.36  fof(f38,plain,(
% 0.15/0.36    spl0_6 <=> big_p(f(sk2))),
% 0.15/0.36    introduced(split_symbol_definition)).
% 0.15/0.36  fof(f39,plain,(
% 0.15/0.36    big_p(f(sk2))|~spl0_6),
% 0.15/0.36    inference(component_clause,[status(thm)],[f38])).
% 0.15/0.36  fof(f41,plain,(
% 0.15/0.36    spl0_7 <=> big_p(sk1)),
% 0.15/0.36    introduced(split_symbol_definition)).
% 0.15/0.36  fof(f43,plain,(
% 0.15/0.36    ~big_p(sk1)|spl0_7),
% 0.15/0.36    inference(component_clause,[status(thm)],[f41])).
% 0.15/0.36  fof(f44,plain,(
% 0.15/0.36    spl0_8 <=> big_p(sk2)),
% 0.15/0.36    introduced(split_symbol_definition)).
% 0.15/0.36  fof(f46,plain,(
% 0.15/0.36    ~big_p(sk2)|spl0_8),
% 0.15/0.36    inference(component_clause,[status(thm)],[f44])).
% 0.15/0.36  fof(f47,plain,(
% 0.15/0.36    spl0_5|spl0_6|~spl0_7|~spl0_8),
% 0.15/0.36    inference(split_clause,[status(thm)],[f14,f35,f38,f41,f44])).
% 0.15/0.36  fof(f48,plain,(
% 0.15/0.36    spl0_5|~spl0_7|~spl0_4),
% 0.15/0.36    inference(split_clause,[status(thm)],[f15,f35,f41,f31])).
% 0.15/0.36  fof(f49,plain,(
% 0.15/0.36    spl0_6|~spl0_8|~spl0_3),
% 0.15/0.36    inference(split_clause,[status(thm)],[f16,f38,f44,f28])).
% 0.15/0.36  fof(f50,plain,(
% 0.15/0.36    $false|spl0_1),
% 0.15/0.36    inference(forward_subsumption_resolution,[status(thm)],[f22,f8])).
% 0.15/0.36  fof(f51,plain,(
% 0.15/0.36    spl0_1),
% 0.15/0.36    inference(contradiction_clause,[status(thm)],[f50])).
% 0.15/0.36  fof(f52,plain,(
% 0.15/0.36    big_p(sk2)|~spl0_0|spl0_4),
% 0.15/0.36    inference(resolution,[status(thm)],[f18,f33])).
% 0.15/0.36  fof(f53,plain,(
% 0.15/0.36    $false|spl0_8|~spl0_0|spl0_4),
% 0.15/0.36    inference(forward_subsumption_resolution,[status(thm)],[f52,f46])).
% 0.15/0.36  fof(f54,plain,(
% 0.15/0.36    spl0_8|~spl0_0|spl0_4),
% 0.15/0.36    inference(contradiction_clause,[status(thm)],[f53])).
% 0.15/0.36  fof(f55,plain,(
% 0.15/0.36    big_p(sk1)|~spl0_0|spl0_3),
% 0.15/0.36    inference(resolution,[status(thm)],[f18,f30])).
% 0.15/0.36  fof(f56,plain,(
% 0.15/0.36    $false|~spl0_0|spl0_3|spl0_7),
% 0.15/0.36    inference(forward_subsumption_resolution,[status(thm)],[f43,f55])).
% 0.15/0.37  fof(f57,plain,(
% 0.15/0.37    ~spl0_0|spl0_3|spl0_7),
% 0.15/0.37    inference(contradiction_clause,[status(thm)],[f56])).
% 0.15/0.37  fof(f58,plain,(
% 0.15/0.37    ~big_p(f(sk1))|~spl0_2|spl0_3),
% 0.15/0.37    inference(resolution,[status(thm)],[f25,f30])).
% 0.15/0.37  fof(f59,plain,(
% 0.15/0.37    $false|~spl0_5|~spl0_2|spl0_3),
% 0.15/0.37    inference(forward_subsumption_resolution,[status(thm)],[f58,f36])).
% 0.15/0.37  fof(f60,plain,(
% 0.15/0.37    ~spl0_5|~spl0_2|spl0_3),
% 0.15/0.37    inference(contradiction_clause,[status(thm)],[f59])).
% 0.15/0.37  fof(f61,plain,(
% 0.15/0.37    ~big_p(f(sk2))|spl0_4|~spl0_2),
% 0.15/0.37    inference(resolution,[status(thm)],[f33,f25])).
% 0.15/0.37  fof(f62,plain,(
% 0.15/0.37    $false|~spl0_6|spl0_4|~spl0_2),
% 0.15/0.37    inference(forward_subsumption_resolution,[status(thm)],[f61,f39])).
% 0.15/0.37  fof(f63,plain,(
% 0.15/0.37    ~spl0_6|spl0_4|~spl0_2),
% 0.15/0.37    inference(contradiction_clause,[status(thm)],[f62])).
% 0.15/0.37  fof(f64,plain,(
% 0.15/0.37    $false),
% 0.15/0.37    inference(sat_refutation,[status(thm)],[f23,f27,f34,f47,f48,f49,f51,f54,f57,f60,f63])).
% 0.15/0.37  % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.37  % Elapsed time: 0.016922 seconds
% 0.15/0.37  % CPU time: 0.032819 seconds
% 0.15/0.37  % Total memory used: 1.909 MB
% 0.15/0.37  % Net memory used: 1.862 MB
%------------------------------------------------------------------------------