%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM559+1 : TPTP v9.3.1. Released v4.0.0.
% 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 02:20:22 PM UTC 2026
% Result : Theorem 16.44s 2.57s
% Output : Proof 16.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,hypothesis,
~ ~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2338) ).
fof(f68_nnf,plain,
aElementOf0(xx,xQ),
inference(nnf_transformation,[status(thm)],[f68]) ).
cnf(c139,plain,
aElementOf0(xx,xQ),
inference(cnf_transformation,[status(esa)],[f68_nnf]) ).
fof(f67,hypothesis,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2323) ).
fof(f67_nnf,plain,
~ aElementOf0(xx,xQ),
inference(nnf_transformation,[status(thm)],[f67]) ).
fof(f67_sk,plain,
~ aElementOf0(xx,xQ),
inference(skolemisation,[status(esa)],[f67_nnf]) ).
cnf(c138,plain,
~ aElementOf0(xx,xQ),
inference(cnf_transformation,[status(esa)],[f67_sk]) ).
cnf(p149,plain,
$false,
inference(resolution,[status(thm)],[c139,c138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM559+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.42 % Computer : n020.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Thu Sep 24 04:38:19 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 16.44/2.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.44/2.57 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------