%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN350-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n004.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 4.14s 1.11s
% Output : Proof 4.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 5 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 55 ( 24 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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; 1 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f5,negated_conjecture,
( ~ f(X,Y)
| ~ f(Y,z(X,Y))
| ~ f(a,z(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f5_nnf,plain,
! [X,Y] :
( ~ f(X,Y)
| ~ f(Y,z(X,Y))
| ~ f(a,z(X,Y)) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X,Y] :
( ~ f(X,Y)
| ~ f(Y,z(X,Y))
| ~ f(a,z(X,Y)) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ f(X0,X1)
| ~ f(X1,z(X0,X1))
| ~ f(a,z(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p28,plain,
( ~ f(X0,a)
| ~ f(a,z(X0,a)) ),
inference(factoring,[status(thm)],[c5]) ).
cnf(f2,negated_conjecture,
( f(X,z(X,Y))
| f(Y,z(X,Y))
| f(a,z(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f2_nnf,plain,
! [X,Y] :
( f(X,z(X,Y))
| f(Y,z(X,Y))
| f(a,z(X,Y)) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( f(X,z(X,Y))
| f(Y,z(X,Y))
| f(a,z(X,Y)) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( f(X0,z(X0,X1))
| f(X1,z(X0,X1))
| f(a,z(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p7,plain,
( f(X0,z(X0,a))
| f(a,z(X0,a)) ),
inference(factoring,[status(thm)],[c2]) ).
cnf(p13,plain,
f(a,z(a,a)),
inference(factoring,[status(thm)],[p7]) ).
cnf(f0,negated_conjecture,
( f(z(X,Y),a)
| ~ f(a,z(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f0_nnf,plain,
! [X,Y] :
( f(z(X,Y),a)
| ~ f(a,z(X,Y)) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] :
( f(z(X,Y),a)
| ~ f(a,z(X,Y)) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( f(z(X0,X1),a)
| ~ f(a,z(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p16,plain,
f(z(a,a),a),
inference(resolution,[status(thm)],[p13,c0]) ).
cnf(f4,negated_conjecture,
( ~ f(X,Y)
| f(Y,z(X,Y))
| f(a,z(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f4_nnf,plain,
! [X,Y] :
( ~ f(X,Y)
| f(Y,z(X,Y))
| f(a,z(X,Y)) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X,Y] :
( ~ f(X,Y)
| f(Y,z(X,Y))
| f(a,z(X,Y)) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( ~ f(X0,X1)
| f(X1,z(X0,X1))
| f(a,z(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p6,plain,
( ~ f(X0,a)
| f(a,z(X0,a)) ),
inference(factoring,[status(thm)],[c4]) ).
cnf(p18,plain,
f(a,z(z(a,a),a)),
inference(resolution,[status(thm)],[p16,p6]) ).
cnf(p31,plain,
~ f(z(a,a),a),
inference(resolution,[status(thm)],[p28,p18]) ).
cnf(p33,plain,
$false,
inference(resolution,[status(thm)],[p31,p16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN350-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 00:56:22 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.14/1.11 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.14/1.11 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------