%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN392+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n018.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 03:34:35 PM UTC 2026
% Result : Theorem 0.14s 11.04s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 21 ( 4 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 105 ( 40 ~; 43 |; 18 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 3 ( 2 usr; 3 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,
( ( p1
<=> p2 )
<=> ( ( p1
| ~ p2 )
& ( ~ p1
| p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel14) ).
fof(f0_neg,negated_conjecture,
~ ( ( p1
<=> p2 )
<=> ( ( p1
| ~ p2 )
& ( ~ p1
| p2 ) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
( ( ( p1
| ~ p2 )
& ( ~ p1
| p2 )
& ( ( p2
& ~ p1 )
| ( ~ p2
& p1 ) ) )
| ( ( ( ~ p1
& p2 )
| ( p1
& ~ p2 ) )
& ( ~ p2
| p1 )
& ( p2
| ~ p1 ) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
( ( ( p1
| ~ p2 )
& ( ~ p1
| p2 )
& ( ( p2
& ~ p1 )
| ( ~ p2
& p1 ) ) )
| ( ( ( ~ p1
& p2 )
| ( p1
& ~ p2 ) )
& ( ~ p2
| p1 )
& ( p2
| ~ p1 ) ) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c25,plain,
( p2
| p1
| p2
| p1 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p45,plain,
( p2
| p2
| p1 ),
inference(factoring,[status(thm)],[c25]) ).
cnf(p47,plain,
( p2
| p1 ),
inference(factoring,[status(thm)],[p45]) ).
cnf(c11,plain,
( p1
| ~ p2
| ~ p2
| p1 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p39,plain,
( ~ p2
| ~ p2
| p1 ),
inference(factoring,[status(thm)],[c11]) ).
cnf(p41,plain,
( ~ p2
| p1 ),
inference(factoring,[status(thm)],[p39]) ).
cnf(p48,plain,
( p1
| p1 ),
inference(resolution,[status(thm)],[p47,p41]) ).
cnf(p49,plain,
p1,
inference(factoring,[status(thm)],[p48]) ).
cnf(c4,plain,
( ~ p1
| p2
| p2
| ~ p1 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p36,plain,
( p2
| p2
| ~ p1 ),
inference(factoring,[status(thm)],[c4]) ).
cnf(p38,plain,
( p2
| ~ p1 ),
inference(factoring,[status(thm)],[p36]) ).
cnf(p50,plain,
p2,
inference(resolution,[status(thm)],[p49,p38]) ).
cnf(c20,plain,
( ~ p1
| ~ p2
| ~ p1
| ~ p2 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p42,plain,
( ~ p1
| ~ p1
| ~ p2 ),
inference(factoring,[status(thm)],[c20]) ).
cnf(p44,plain,
( ~ p1
| ~ p2 ),
inference(factoring,[status(thm)],[p42]) ).
cnf(p51,plain,
~ p1,
inference(resolution,[status(thm)],[p50,p44]) ).
cnf(p52,plain,
$false,
inference(resolution,[status(thm)],[p51,p49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN392+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/10.38 % Computer : n018.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 01:06:45 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/11.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/11.04 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------