TSTP Solution File: SYN031-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN031-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.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 20:51:03 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  : SYN031-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n003.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 22:03:18 EDT 2024
% 0.13/0.35  % 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,axiom,(
% 0.13/0.36    (![A]: (( g(A,a)| g(f(A),A) ) ))),
% 0.13/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f2,axiom,(
% 0.13/0.36    (![A]: (( g(A,a)| g(A,f(A)) ) ))),
% 0.13/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f5,negated_conjecture,(
% 0.13/0.36    (![A,B]: (( ~ g(A,B)| ~ g(B,a) ) ))),
% 0.13/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f6,plain,(
% 0.13/0.36    ![X0]: (g(X0,a)|g(f(X0),X0))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.36  fof(f7,plain,(
% 0.13/0.36    ![X0]: (g(X0,a)|g(X0,f(X0)))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f2])).
% 0.13/0.36  fof(f12,plain,(
% 0.13/0.36    ![B]: ((![A]: ~g(A,B))|~g(B,a))),
% 0.13/0.36    inference(miniscoping,[status(esa)],[f5])).
% 0.13/0.36  fof(f13,plain,(
% 0.13/0.36    ![X0,X1]: (~g(X0,X1)|~g(X1,a))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.36  fof(f14,plain,(
% 0.13/0.36    ![X0,X1]: (g(f(X0),X0)|~g(X1,X0))),
% 0.13/0.36    inference(resolution,[status(thm)],[f6,f13])).
% 0.13/0.36  fof(f15,plain,(
% 0.13/0.36    spl0_0 <=> ~g(X0,a)),
% 0.13/0.36    introduced(split_symbol_definition)).
% 0.13/0.36  fof(f16,plain,(
% 0.13/0.36    ![X0]: (~g(X0,a)|~spl0_0)),
% 0.13/0.36    inference(component_clause,[status(thm)],[f15])).
% 0.13/0.36  fof(f18,plain,(
% 0.13/0.36    spl0_1 <=> ~g(X1,f(a))),
% 0.13/0.36    introduced(split_symbol_definition)).
% 0.13/0.36  fof(f19,plain,(
% 0.13/0.36    ![X0]: (~g(X0,f(a))|~spl0_1)),
% 0.13/0.36    inference(component_clause,[status(thm)],[f18])).
% 0.13/0.36  fof(f21,plain,(
% 0.13/0.36    ![X0,X1]: (~g(X0,a)|~g(X1,f(a)))),
% 0.13/0.36    inference(resolution,[status(thm)],[f14,f13])).
% 0.13/0.36  fof(f22,plain,(
% 0.13/0.36    spl0_0|spl0_1),
% 0.13/0.36    inference(split_clause,[status(thm)],[f21,f15,f18])).
% 0.13/0.36  fof(f23,plain,(
% 0.13/0.36    ![X0]: (g(f(X0),X0)|~spl0_0)),
% 0.13/0.36    inference(backward_subsumption_resolution,[status(thm)],[f6,f16])).
% 0.13/0.36  fof(f25,plain,(
% 0.13/0.36    $false|~spl0_0),
% 0.13/0.36    inference(resolution,[status(thm)],[f23,f16])).
% 0.13/0.36  fof(f26,plain,(
% 0.13/0.36    ~spl0_0),
% 0.13/0.36    inference(contradiction_clause,[status(thm)],[f25])).
% 0.13/0.36  fof(f30,plain,(
% 0.13/0.36    ![X0,X1]: (g(X0,f(X0))|~g(X1,X0))),
% 0.13/0.36    inference(resolution,[status(thm)],[f7,f13])).
% 0.13/0.36  fof(f31,plain,(
% 0.13/0.36    ![X0]: (~g(X0,a)|~spl0_1)),
% 0.13/0.36    inference(resolution,[status(thm)],[f30,f19])).
% 0.13/0.36  fof(f32,plain,(
% 0.13/0.36    spl0_0|~spl0_1),
% 0.13/0.36    inference(split_clause,[status(thm)],[f31,f15,f18])).
% 0.13/0.36  fof(f33,plain,(
% 0.13/0.36    $false),
% 0.13/0.36    inference(sat_refutation,[status(thm)],[f22,f26,f32])).
% 0.13/0.36  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37  % Elapsed time: 0.016115 seconds
% 0.13/0.37  % CPU time: 0.029356 seconds
% 0.13/0.37  % Total memory used: 1.882 MB
% 0.13/0.37  % Net memory used: 1.764 MB
%------------------------------------------------------------------------------