%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN722+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n007.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 03:35:34 PM UTC 2026
% Result : Theorem 4.23s 1.02s
% Output : Proof 4.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 87 ( 40 ~; 35 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 17 ( 4 sgn 8 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
~ ( ( ~ p(b)
| ~ p(a) )
& ! [X] :
? [Y] :
( ~ q(d)
| ~ q(c)
| ~ q(Y)
| ~ q(X)
| p(X) )
& ! [Z] :
( q(Z)
& ( r(Z)
| p(Z) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm119) ).
fof(f0_neg,negated_conjecture,
~ ~ ( ( ~ p(b)
| ~ p(a) )
& ! [X] :
? [Y] :
( ~ q(d)
| ~ q(c)
| ~ q(Y)
| ~ q(X)
| p(X) )
& ! [Z] :
( q(Z)
& ( r(Z)
| p(Z) ) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
( ( ~ p(b)
| ~ p(a) )
& ! [X] :
? [Y] :
( ~ q(d)
| ~ q(c)
| ~ q(Y)
| ~ q(X)
| p(X) )
& ! [Z] :
( q(Z)
& ( r(Z)
| p(Z) ) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [Z,X] :
( ( ~ p(b)
| ~ p(a) )
& ( ~ q(d)
| ~ q(c)
| ~ q(sk0(X))
| ~ q(X)
| p(X) )
& q(Z)
& ( r(Z)
| p(Z) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c2,plain,
( ~ q(d)
| ~ q(c)
| ~ q(sk0(X1))
| ~ q(X1)
| p(X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c1,plain,
q(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p6,plain,
( ~ q(d)
| ~ q(c)
| ~ q(sk0(X0))
| p(X0) ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(p7,plain,
( ~ q(d)
| ~ q(c)
| p(X0) ),
inference(resolution,[status(thm)],[p6,c1]) ).
cnf(p8,plain,
( ~ q(d)
| p(X0) ),
inference(resolution,[status(thm)],[p7,c1]) ).
cnf(p9,plain,
p(X0),
inference(resolution,[status(thm)],[p8,c1]) ).
cnf(c3,plain,
( ~ p(b)
| ~ p(a) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p10,plain,
~ p(b),
inference(resolution,[status(thm)],[p9,c3]) ).
cnf(p11,plain,
$false,
inference(resolution,[status(thm)],[p10,p9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN722+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 02:08:53 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.23/1.02 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.23/1.02 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------