%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN730+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n003.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 03:35:35 PM UTC 2026
% Result : Theorem 2.62s 0.83s
% Output : Proof 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 13 ( 4 ~; 5 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 14 ( 1 sgn 6 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
? [V] :
! [J] :
? [Q] :
( ( p(V,J,k(J))
| p(a,J,h(J)) )
=> p(V,J,Q) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm75) ).
fof(f0_neg,negated_conjecture,
~ ? [V] :
! [J] :
? [Q] :
( ( p(V,J,k(J))
| p(a,J,h(J)) )
=> p(V,J,Q) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
! [V] :
? [J] :
! [Q] :
( ~ p(V,J,Q)
& ( p(V,J,k(J))
| p(a,J,h(J)) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [V,Q] :
( ~ p(V,sk0(V),Q)
& ( p(V,sk0(V),k(sk0(V)))
| p(a,sk0(V),h(sk0(V))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c0,plain,
( p(X0,sk0(X0),k(sk0(X0)))
| p(a,sk0(X0),h(sk0(X0))) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c1,plain,
~ p(X0,sk0(X0),X2),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p2,plain,
p(a,sk0(a),k(sk0(a))),
inference(resolution,[status(thm)],[c0,c1]) ).
cnf(p4,plain,
$false,
inference(resolution,[status(thm)],[p2,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN730+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 02:14:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.62/0.83 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.62/0.83 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------