%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM520+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n019.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 02:20:15 PM UTC 2026
% Result : Theorem 24.07s 4.53s
% Output : Proof 24.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 11 ~; 4 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,hypothesis,
~ ( xk != sz10
& xk != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2327) ).
fof(f46_nnf,plain,
( xk = sz10
| xk = sz00 ),
inference(nnf_transformation,[status(thm)],[f46]) ).
fof(f46_sk,plain,
( xk = sz10
| xk = sz00 ),
inference(skolemisation,[status(esa)],[f46_nnf]) ).
cnf(c224,plain,
( xk = sz10
| xk = sz00 ),
inference(cnf_transformation,[status(esa)],[f46_sk]) ).
fof(f45,hypothesis,
~ ( xk = sz10
| xk = sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2315) ).
fof(f45_nnf,plain,
( xk != sz10
& xk != sz00 ),
inference(nnf_transformation,[status(thm)],[f45]) ).
fof(f45_sk,plain,
( xk != sz10
& xk != sz00 ),
inference(skolemisation,[status(esa)],[f45_nnf]) ).
cnf(c223,plain,
xk != sz10,
inference(cnf_transformation,[status(esa)],[f45_sk]) ).
cnf(p545,plain,
xk = sz00,
inference(resolution,[status(thm)],[c224,c223]) ).
cnf(c222,plain,
xk != sz00,
inference(cnf_transformation,[status(esa)],[f45_sk]) ).
cnf(p548,plain,
sz00 != sz00,
inference(demodulation,[status(thm)],[p545,c222]) ).
cnf(p561,plain,
$false,
inference(equality_resolution,[status(thm)],[p548]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM520+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.98 % Computer : n019.cluster.edu
% 0.10/0.98 % Model : x86_64 x86_64
% 0.10/0.98 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.98 % Memory : 8046.5625MB
% 0.10/0.98 % OS : Linux 6.8.0-71-generic
% 0.10/0.98 % CPULimit : 300
% 0.10/0.98 % WCLimit : 300
% 0.10/0.98 % DateTime : Thu Sep 24 04:25:24 UTC 2026
% 0.10/0.99 % CPUTime :
% 0.10/0.99 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 24.07/4.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.07/4.53 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------