%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN349-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n014.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 : Fri Sep 25 03:34:27 PM UTC 2026
% Result : Unsatisfiable 3.73s 0.97s
% Output : Proof 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 5 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 123 ( 50 ~; 73 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 62 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f7,negated_conjecture,
( ~ 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',clause8) ).
fof(f7_nnf,plain,
! [X,Y] :
( ~ f(g(X,Y),w(X))
| f(Y,g(X,Y))
| ~ f(g(X,Y),Y)
| f(X,g(X,Y)) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,Y] :
( ~ f(g(X,Y),w(X))
| f(Y,g(X,Y))
| ~ f(g(X,Y),Y)
| f(X,g(X,Y)) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( ~ 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(esa)],[f7_sk]) ).
cnf(p15,plain,
( f(w(X0),g(X0,w(X0)))
| ~ f(g(X0,w(X0)),w(X0))
| f(X0,g(X0,w(X0))) ),
inference(factoring,[status(thm)],[c7]) ).
cnf(f4,negated_conjecture,
( 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',clause5) ).
fof(f4_nnf,plain,
! [X,Y] :
( f(g(X,Y),w(X))
| f(Y,g(X,Y))
| f(g(X,Y),Y)
| f(X,g(X,Y)) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X,Y] :
( f(g(X,Y),w(X))
| f(Y,g(X,Y))
| f(g(X,Y),Y)
| f(X,g(X,Y)) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( 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(esa)],[f4_sk]) ).
cnf(p13,plain,
( f(w(X0),g(X0,w(X0)))
| f(g(X0,w(X0)),w(X0))
| f(X0,g(X0,w(X0))) ),
inference(factoring,[status(thm)],[c4]) ).
cnf(p16,plain,
( f(w(X0),g(X0,w(X0)))
| f(X0,g(X0,w(X0)))
| f(w(X0),g(X0,w(X0)))
| f(X0,g(X0,w(X0))) ),
inference(resolution,[status(thm)],[p15,p13]) ).
cnf(p19,plain,
( f(w(X0),g(X0,w(X0)))
| f(w(X0),g(X0,w(X0)))
| f(X0,g(X0,w(X0))) ),
inference(factoring,[status(thm)],[p16]) ).
cnf(p21,plain,
( f(w(X0),g(X0,w(X0)))
| f(X0,g(X0,w(X0))) ),
inference(factoring,[status(thm)],[p19]) ).
cnf(f0,negated_conjecture,
( ~ f(w(X),g(X,Y))
| f(X,g(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f0_nnf,plain,
! [X,Y] :
( ~ f(w(X),g(X,Y))
| f(X,g(X,Y)) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] :
( ~ f(w(X),g(X,Y))
| f(X,g(X,Y)) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ f(w(X0),g(X0,X1))
| f(X0,g(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p22,plain,
( f(X0,g(X0,w(X0)))
| f(X0,g(X0,w(X0))) ),
inference(resolution,[status(thm)],[p21,c0]) ).
cnf(p23,plain,
f(X0,g(X0,w(X0))),
inference(factoring,[status(thm)],[p22]) ).
cnf(f9,negated_conjecture,
( ~ 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',clause10) ).
fof(f9_nnf,plain,
! [X,Y] :
( ~ f(g(X,Y),w(X))
| ~ f(Y,g(X,Y))
| ~ f(g(X,Y),Y)
| ~ f(X,g(X,Y)) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,Y] :
( ~ f(g(X,Y),w(X))
| ~ f(Y,g(X,Y))
| ~ f(g(X,Y),Y)
| ~ f(X,g(X,Y)) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( ~ 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(esa)],[f9_sk]) ).
cnf(p18,plain,
( ~ f(w(X0),g(X0,w(X0)))
| ~ f(g(X0,w(X0)),w(X0))
| ~ f(X0,g(X0,w(X0))) ),
inference(factoring,[status(thm)],[c9]) ).
cnf(p28,plain,
( ~ f(w(X0),g(X0,w(X0)))
| ~ f(g(X0,w(X0)),w(X0)) ),
inference(resolution,[status(thm)],[p23,p18]) ).
cnf(f2,negated_conjecture,
( 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',clause3) ).
fof(f2_nnf,plain,
! [X,Y] :
( f(g(X,Y),w(X))
| ~ f(Y,g(X,Y))
| f(g(X,Y),Y)
| ~ f(X,g(X,Y)) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( f(g(X,Y),w(X))
| ~ f(Y,g(X,Y))
| f(g(X,Y),Y)
| ~ f(X,g(X,Y)) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( 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(esa)],[f2_sk]) ).
cnf(p11,plain,
( ~ f(w(X0),g(X0,w(X0)))
| f(g(X0,w(X0)),w(X0))
| ~ f(X0,g(X0,w(X0))) ),
inference(factoring,[status(thm)],[c2]) ).
cnf(p26,plain,
( ~ f(w(X0),g(X0,w(X0)))
| f(g(X0,w(X0)),w(X0)) ),
inference(resolution,[status(thm)],[p23,p11]) ).
cnf(f1,negated_conjecture,
( f(w(X),g(X,Y))
| ~ f(X,g(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f1_nnf,plain,
! [X,Y] :
( f(w(X),g(X,Y))
| ~ f(X,g(X,Y)) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] :
( f(w(X),g(X,Y))
| ~ f(X,g(X,Y)) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( f(w(X0),g(X0,X1))
| ~ f(X0,g(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p24,plain,
f(w(X0),g(X0,w(X0))),
inference(resolution,[status(thm)],[p23,c1]) ).
cnf(p29,plain,
f(g(X0,w(X0)),w(X0)),
inference(resolution,[status(thm)],[p26,p24]) ).
cnf(p30,plain,
~ f(w(X0),g(X0,w(X0))),
inference(resolution,[status(thm)],[p28,p29]) ).
cnf(p31,plain,
$false,
inference(resolution,[status(thm)],[p30,p24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN349-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n014.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 00:56:32 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.73/0.97 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.73/0.97 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------