%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN978+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n020.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 03:36:27 PM UTC 2026
% Result : Theorem 0.13s 6.00s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 25 ( 8 ~; 3 |; 10 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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,
( ( b
& a )
=> ( a
<=> b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f0_neg,negated_conjecture,
~ ( ( b
& a )
=> ( a
<=> b ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
( ( ( b
& ~ a )
| ( ~ b
& a ) )
& b
& a ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
( ( ( b
& ~ a )
| ( ~ b
& a ) )
& b
& a ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c4,plain,
( ~ a
| ~ b ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c1,plain,
b,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p6,plain,
~ a,
inference(resolution,[status(thm)],[c4,c1]) ).
cnf(c0,plain,
a,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p7,plain,
$false,
inference(resolution,[status(thm)],[p6,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN978+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/5.36 % Computer : n020.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Fri Sep 25 02:42:23 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.13/6.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/6.00 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------