%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM615+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/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 02:20:32 PM UTC 2026
% Result : Theorem 27.15s 4.52s
% Output : Proof 27.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 30 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 26 ( 11 ~; 6 |; 8 &)
% ( 0 <=>; 1 =>; 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 : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 5 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,hypothesis,
! [W0] :
( aElementOf0(W0,xO)
=> ? [W1] :
( sdtlpdtrp0(xe,W1) = W0
& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(W1,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4982) ).
fof(f96_nnf,plain,
! [W0] :
( ? [W1] :
( sdtlpdtrp0(xe,W1) = W0
& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(W1,szNzAzT0) )
| ~ aElementOf0(W0,xO) ),
inference(nnf_transformation,[status(thm)],[f96]) ).
fof(f96_sk,plain,
! [W0] :
( ( sdtlpdtrp0(xe,sk24(W0)) = W0
& aElementOf0(sk24(W0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(sk24(W0),szNzAzT0) )
| ~ aElementOf0(W0,xO) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk24])],[f96_nnf]) ).
cnf(c218,plain,
( aElementOf0(sk24(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[status(esa)],[f96_sk]) ).
fof(f105,hypothesis,
aElementOf0(xp,xO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5182) ).
fof(f105_nnf,plain,
aElementOf0(xp,xO),
inference(nnf_transformation,[status(thm)],[f105]) ).
cnf(c230,plain,
aElementOf0(xp,xO),
inference(cnf_transformation,[status(esa)],[f105_nnf]) ).
cnf(p2011,plain,
aElementOf0(sk24(xp),sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(resolution,[status(thm)],[c218,c230]) ).
fof(f110,conjecture,
? [W0] :
( sdtlpdtrp0(xe,W0) = xp
& aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(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))) ),
inference(negated_conjecture,[status(cth)],[f110]) ).
fof(f110_nnf,plain,
! [W0] :
( sdtlpdtrp0(xe,W0) != xp
| ~ aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(nnf_transformation,[status(thm)],[f110_neg]) ).
fof(f110_sk,plain,
! [W0] :
( sdtlpdtrp0(xe,W0) != xp
| ~ aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(skolemisation,[status(esa)],[f110_nnf]) ).
cnf(c235,plain,
( sdtlpdtrp0(xe,X0) != xp
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[status(esa)],[f110_sk]) ).
cnf(p2013,plain,
xp != xp,
inference(resolution,[status(thm)],[p2011,c235]) ).
cnf(p2014,plain,
$false,
inference(equality_resolution,[status(thm)],[p2013]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM615+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 04:56:33 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 27.15/4.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.15/4.52 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------