%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN950+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n010.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 03:36:23 PM UTC 2026
% Result : Theorem 4.57s 1.07s
% Output : Proof 4.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 37 ( 12 ~; 9 |; 8 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 20 ( 4 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
! [A,B] :
( ! [Y] :
( q(Y)
=> p(Y) )
=> ? [X] :
( ( q(X)
=> p(B) )
& ( p(X)
=> p(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f0_neg,negated_conjecture,
~ ! [A,B] :
( ! [Y] :
( q(Y)
=> p(Y) )
=> ? [X] :
( ( q(X)
=> p(B) )
& ( p(X)
=> p(A) ) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
? [A,B] :
( ! [X] :
( ( ~ p(B)
& q(X) )
| ( ~ p(A)
& p(X) ) )
& ! [Y] :
( p(Y)
| ~ q(Y) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [Y,X] :
( ( ( ~ p(sk1)
& q(X) )
| ( ~ p(sk0)
& p(X) ) )
& ( p(Y)
| ~ q(Y) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f0_nnf]) ).
cnf(c3,plain,
( q(X3)
| ~ p(sk0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c1,plain,
( q(X3)
| p(X3) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p6,plain,
( q(sk0)
| q(X0) ),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(p10,plain,
q(sk0),
inference(factoring,[status(thm)],[p6]) ).
cnf(c0,plain,
( p(X2)
| ~ q(X2) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p11,plain,
p(sk0),
inference(resolution,[status(thm)],[p10,c0]) ).
cnf(p12,plain,
q(X0),
inference(resolution,[status(thm)],[p11,c3]) ).
cnf(p14,plain,
p(X0),
inference(resolution,[status(thm)],[p12,c0]) ).
cnf(c4,plain,
( ~ p(sk1)
| ~ p(sk0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p13,plain,
~ p(sk1),
inference(resolution,[status(thm)],[p11,c4]) ).
cnf(p15,plain,
$false,
inference(resolution,[status(thm)],[p14,p13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN950+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n010.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 02:38:44 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.57/1.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.57/1.07 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------