%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN331-1 : 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 03:34:23 PM UTC 2026
% Result : Unsatisfiable 0.14s 10.79s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 9 |; 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 : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 29 ( 4 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f4,negated_conjecture,
( f(z(X,Y),z(X,Y))
| f(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f4_nnf,plain,
! [Y,X] :
( f(z(X,Y),z(X,Y))
| f(Y,X) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [Y,X] :
( f(z(X,Y),z(X,Y))
| f(Y,X) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( f(z(X1,X0),z(X1,X0))
| f(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(f2,negated_conjecture,
( ~ f(z(X,Y),z(X,Y))
| f(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f2_nnf,plain,
! [X,Y] :
( ~ f(z(X,Y),z(X,Y))
| f(X,Y) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( ~ f(z(X,Y),z(X,Y))
| f(X,Y) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ f(z(X0,X1),z(X0,X1))
| f(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p9,plain,
( f(X1,X0)
| f(X0,X1) ),
inference(resolution,[status(thm)],[c4,c2]) ).
cnf(p11,plain,
f(X0,X0),
inference(factoring,[status(thm)],[p9]) ).
cnf(p12,plain,
f(X0,X1),
inference(resolution,[status(thm)],[p11,c2]) ).
cnf(f5,negated_conjecture,
~ f(z(X,Y),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f5_nnf,plain,
! [X,Y] : ~ f(z(X,Y),X),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X,Y] : ~ f(z(X,Y),X),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
~ f(z(X0,X1),X0),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p13,plain,
$false,
inference(resolution,[status(thm)],[p12,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN331-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/10.38 % Computer : n006.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Fri Sep 25 00:51:52 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/10.79 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/10.79 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------