%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN047+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n011.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 03:33:34 PM UTC 2026
% Result : Theorem 0.14s 5.79s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 27 ( 6 unt; 0 def)
% Number of atoms : 125 ( 0 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 152 ( 54 ~; 68 |; 24 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 5 ( 4 usr; 5 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
( ( ( ( q
=> r )
& p )
=> s )
<=> ( ( s
| ~ r
| ~ p )
& ( s
| q
| ~ p ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel17) ).
fof(f0_neg,negated_conjecture,
~ ( ( ( ( q
=> r )
& p )
=> s )
<=> ( ( s
| ~ r
| ~ p )
& ( s
| q
| ~ p ) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
( ( ( s
| ~ r
| ~ p )
& ( s
| q
| ~ p )
& ~ s
& ( r
| ~ q )
& p )
| ( ( ( ~ s
& r
& p )
| ( ~ s
& ~ q
& p ) )
& ( s
| ( ~ r
& q )
| ~ p ) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
( ( ( s
| ~ r
| ~ p )
& ( s
| q
| ~ p )
& ~ s
& ( r
| ~ q )
& p )
| ( ( ( ~ s
& r
& p )
| ( ~ s
& ~ q
& p ) )
& ( s
| ( ~ r
& q )
| ~ p ) ) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c3,plain,
( s
| q
| ~ p
| s
| q
| ~ p ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p55,plain,
( s
| q
| s
| q
| ~ p ),
inference(factoring,[status(thm)],[c3]) ).
cnf(p68,plain,
( s
| s
| q
| ~ p ),
inference(factoring,[status(thm)],[p55]) ).
cnf(p75,plain,
( s
| q
| ~ p ),
inference(factoring,[status(thm)],[p68]) ).
cnf(c10,plain,
( p
| p
| p ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p61,plain,
( p
| p ),
inference(factoring,[status(thm)],[c10]) ).
cnf(p72,plain,
p,
inference(factoring,[status(thm)],[p61]) ).
cnf(p77,plain,
( s
| q ),
inference(resolution,[status(thm)],[p75,p72]) ).
cnf(c52,plain,
( ~ s
| ~ s
| ~ s ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p67,plain,
( ~ s
| ~ s ),
inference(factoring,[status(thm)],[c52]) ).
cnf(p74,plain,
~ s,
inference(factoring,[status(thm)],[p67]) ).
cnf(p79,plain,
q,
inference(resolution,[status(thm)],[p77,p74]) ).
cnf(c31,plain,
( r
| ~ q
| r
| ~ q ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p63,plain,
( r
| r
| ~ q ),
inference(factoring,[status(thm)],[c31]) ).
cnf(p73,plain,
( r
| ~ q ),
inference(factoring,[status(thm)],[p63]) ).
cnf(p80,plain,
r,
inference(resolution,[status(thm)],[p79,p73]) ).
cnf(c9,plain,
( s
| ~ r
| ~ p
| s
| ~ r
| ~ p ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p58,plain,
( s
| ~ r
| s
| ~ r
| ~ p ),
inference(factoring,[status(thm)],[c9]) ).
cnf(p70,plain,
( s
| s
| ~ r
| ~ p ),
inference(factoring,[status(thm)],[p58]) ).
cnf(p76,plain,
( s
| ~ r
| ~ p ),
inference(factoring,[status(thm)],[p70]) ).
cnf(p78,plain,
( s
| ~ r ),
inference(resolution,[status(thm)],[p76,p72]) ).
cnf(p81,plain,
s,
inference(resolution,[status(thm)],[p80,p78]) ).
cnf(p82,plain,
$false,
inference(resolution,[status(thm)],[p81,p74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN047+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/5.36 % Computer : n011.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Thu Sep 24 23:56:04 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.14/5.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/5.79 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------