%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN349-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:15:50 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.54s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 5 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 75 ( 31 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X,Y] :
( ~ f(w(X),g(X,Y))
| f(X,g(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X,Y] :
( f(w(X),g(X,Y))
| ~ f(X,g(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X,Y] :
( f(g(X,Y),w(X))
| ~ f(Y,g(X,Y))
| f(g(X,Y),Y)
| ~ f(X,g(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X,Y] :
( f(g(X,Y),w(X))
| f(Y,g(X,Y))
| f(g(X,Y),Y)
| f(X,g(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X,Y] :
( ~ f(g(X,Y),w(X))
| f(Y,g(X,Y))
| ~ f(g(X,Y),Y)
| f(X,g(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X,Y] :
( ~ f(g(X,Y),w(X))
| ~ f(Y,g(X,Y))
| ~ f(g(X,Y),Y)
| ~ f(X,g(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0,X1] :
( ~ f(w(X0),g(X0,X1))
| f(X0,g(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
! [X0,X1] :
( f(w(X0),g(X0,X1))
| ~ f(X0,g(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
! [X0,X1] :
( f(g(X0,X1),w(X0))
| ~ f(X1,g(X0,X1))
| f(g(X0,X1),X1)
| ~ f(X0,g(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f15,plain,
! [X0,X1] :
( f(g(X0,X1),w(X0))
| f(X1,g(X0,X1))
| f(g(X0,X1),X1)
| f(X0,g(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f18,plain,
! [X0,X1] :
( ~ f(g(X0,X1),w(X0))
| f(X1,g(X0,X1))
| ~ f(g(X0,X1),X1)
| f(X0,g(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f20,plain,
! [X0,X1] :
( ~ f(g(X0,X1),w(X0))
| ~ f(X1,g(X0,X1))
| ~ f(g(X0,X1),X1)
| ~ f(X0,g(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f22,plain,
! [X0] :
( f(w(X0),g(X0,w(X0)))
| f(X0,g(X0,w(X0)))
| f(w(X0),g(X0,w(X0)))
| ~ f(g(X0,w(X0)),w(X0))
| f(X0,g(X0,w(X0))) ),
inference(resolution,[status(thm)],[f18,f15]) ).
fof(f28,plain,
! [X0] :
( f(w(X0),g(X0,w(X0)))
| ~ f(g(X0,w(X0)),w(X0))
| f(X0,g(X0,w(X0))) ),
inference(duplicate_literals_removal,[status(thm)],[f22]) ).
fof(f29,plain,
! [X0] :
( f(w(X0),g(X0,w(X0)))
| ~ f(g(X0,w(X0)),w(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f28,f12]) ).
fof(f33,plain,
! [X0] :
( f(w(X0),g(X0,w(X0)))
| f(X0,g(X0,w(X0)))
| f(w(X0),g(X0,w(X0))) ),
inference(resolution,[status(thm)],[f29,f15]) ).
fof(f40,plain,
! [X0] :
( f(X0,g(X0,w(X0)))
| f(w(X0),g(X0,w(X0))) ),
inference(duplicate_literals_removal,[status(thm)],[f33]) ).
fof(f41,plain,
! [X0] : f(X0,g(X0,w(X0))),
inference(forward_subsumption_resolution,[status(thm)],[f40,f11]) ).
fof(f49,plain,
! [X0] : f(w(X0),g(X0,w(X0))),
inference(resolution,[status(thm)],[f41,f12]) ).
fof(f51,plain,
! [X0] :
( ~ f(g(X0,w(X0)),w(X0))
| ~ f(g(X0,w(X0)),w(X0))
| ~ f(X0,g(X0,w(X0))) ),
inference(resolution,[status(thm)],[f49,f20]) ).
fof(f53,plain,
! [X0] :
( f(g(X0,w(X0)),w(X0))
| f(g(X0,w(X0)),w(X0))
| ~ f(X0,g(X0,w(X0))) ),
inference(resolution,[status(thm)],[f49,f13]) ).
fof(f54,plain,
! [X0] :
( ~ f(g(X0,w(X0)),w(X0))
| ~ f(X0,g(X0,w(X0))) ),
inference(duplicate_literals_removal,[status(thm)],[f51]) ).
fof(f55,plain,
! [X0] : ~ f(g(X0,w(X0)),w(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f54,f41]) ).
fof(f56,plain,
! [X0] :
( f(g(X0,w(X0)),w(X0))
| ~ f(X0,g(X0,w(X0))) ),
inference(duplicate_literals_removal,[status(thm)],[f53]) ).
fof(f57,plain,
! [X0] : f(g(X0,w(X0)),w(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f56,f41]) ).
fof(f65,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f57,f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN349-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.50 % Computer : n007.cluster.edu
% 0.07/0.50 % Model : x86_64 x86_64
% 0.07/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.50 % Memory : 8046.5625MB
% 0.07/0.50 % OS : Linux 6.8.0-71-generic
% 0.07/0.51 % CPULimit : 300
% 0.07/0.51 % WCLimit : 300
% 0.07/0.51 % DateTime : Mon Sep 21 10:48:52 UTC 2026
% 0.07/0.51 % CPUTime :
% 0.07/0.52 % Drodi V4.1.1
% 0.07/0.54 % Refutation found
% 0.07/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.57 % Elapsed time: 0.042746 seconds
% 0.27/0.57 % CPU time: 0.111026 seconds
% 0.27/0.57 % Total memory used: 16.726 MB
% 0.27/0.57 % Net memory used: 16.226 MB
%------------------------------------------------------------------------------