%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN327-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n006.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 03:34:22 PM UTC 2026
% Result : Unsatisfiable 2.47s 0.77s
% Output : Proof 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 24 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f5,negated_conjecture,
( ~ f(z(Y),Y)
| ~ f(Y,a)
| ~ f(a,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f5_nnf,plain,
! [Y] :
( ~ f(z(Y),Y)
| ~ f(Y,a)
| ~ f(a,Y) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [Y] :
( ~ f(z(Y),Y)
| ~ f(Y,a)
| ~ f(a,Y) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ f(z(X0),X0)
| ~ f(X0,a)
| ~ f(a,X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p14,plain,
( ~ f(z(a),a)
| ~ f(a,a) ),
inference(factoring,[status(thm)],[c5]) ).
cnf(f0,negated_conjecture,
( f(a,Y)
| f(Y,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f0_nnf,plain,
! [Y] :
( f(a,Y)
| f(Y,a) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [Y] :
( f(a,Y)
| f(Y,a) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( f(a,X0)
| f(X0,a) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p6,plain,
f(a,a),
inference(factoring,[status(thm)],[c0]) ).
cnf(p16,plain,
~ f(z(a),a),
inference(resolution,[status(thm)],[p14,p6]) ).
cnf(f4,negated_conjecture,
( ~ f(a,z(Y))
| ~ f(a,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f4_nnf,plain,
! [Y] :
( ~ f(a,z(Y))
| ~ f(a,Y) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [Y] :
( ~ f(a,z(Y))
| ~ f(a,Y) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( ~ f(a,z(X0))
| ~ f(a,X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p9,plain,
~ f(a,z(a)),
inference(resolution,[status(thm)],[c4,p6]) ).
cnf(p11,plain,
f(z(a),a),
inference(resolution,[status(thm)],[p9,c0]) ).
cnf(p18,plain,
$false,
inference(resolution,[status(thm)],[p16,p11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN327-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 00:50:40 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.47/0.77 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.47/0.77 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------