%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM615+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n006.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 02:20:32 PM UTC 2026
% Result : Theorem 82.04s 10.99s
% Output : Proof 82.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 27 ( 13 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 28 ( 12 ~; 7 |; 9 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 2 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f105,hypothesis,
? [W0] :
( sdtlpdtrp0(xe,W0) = xp
& aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5182) ).
fof(f105_nnf,plain,
? [W0] :
( sdtlpdtrp0(xe,W0) = xp
& aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(nnf_transformation,[status(thm)],[f105]) ).
fof(f105_sk,plain,
( sdtlpdtrp0(xe,sk47) = xp
& aElementOf0(sk47,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk47])],[f105_nnf]) ).
cnf(c1080,plain,
aElementOf0(sk47,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[status(esa)],[f105_sk]) ).
fof(f110,conjecture,
? [W0] :
( sdtlpdtrp0(xe,W0) = xp
& ( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( sdtlpdtrp0(xd,W0) = szDzizrdt0(xd)
& aElementOf0(W0,szDzozmdt0(xd)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f110_neg,negated_conjecture,
~ ? [W0] :
( sdtlpdtrp0(xe,W0) = xp
& ( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( sdtlpdtrp0(xd,W0) = szDzizrdt0(xd)
& aElementOf0(W0,szDzozmdt0(xd)) ) ) ),
inference(negated_conjecture,[status(cth)],[f110]) ).
fof(f110_nnf,plain,
! [W0] :
( sdtlpdtrp0(xe,W0) != xp
| ( ~ aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ( sdtlpdtrp0(xd,W0) != szDzizrdt0(xd)
| ~ aElementOf0(W0,szDzozmdt0(xd)) ) ) ),
inference(nnf_transformation,[status(thm)],[f110_neg]) ).
fof(f110_sk,plain,
! [W0] :
( sdtlpdtrp0(xe,W0) != xp
| ( ~ aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ( sdtlpdtrp0(xd,W0) != szDzizrdt0(xd)
| ~ aElementOf0(W0,szDzozmdt0(xd)) ) ) ),
inference(skolemisation,[status(esa)],[f110_nnf]) ).
cnf(c1089,plain,
( sdtlpdtrp0(xe,X0) != xp
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[status(esa)],[f110_sk]) ).
cnf(p1343,plain,
xp != xp,
inference(resolution,[status(thm)],[c1080,c1089]) ).
cnf(p1344,plain,
$false,
inference(equality_resolution,[status(thm)],[p1343]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM615+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.43 % Computer : n006.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Thu Sep 24 04:55:26 UTC 2026
% 0.15/0.44 % CPUTime :
% 0.15/0.44 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 82.04/10.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 82.04/10.99 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------