%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM602+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 : n015.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 02:20:29 PM UTC 2026
% Result : Theorem 38.65s 5.49s
% Output : Proof 38.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 50 ( 21 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 48 ( 17 ~; 10 |; 20 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 7 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,hypothesis,
! [W0] :
( ( aElementOf0(W0,xO)
| ? [W1] :
( sdtlpdtrp0(xe,W1) = W0
& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
=> ? [W1] :
( sdtlpdtrp0(xe,W1) = W0
& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,W1) = 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)))
& sdtlpdtrp0(xd,W1) = szDzizrdt0(xd)
& aElementOf0(W1,szNzAzT0) )
| ( ~ aElementOf0(W0,xO)
& ! [W1] :
( sdtlpdtrp0(xe,W1) != W0
| ~ aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(nnf_transformation,[status(thm)],[f96]) ).
fof(f96_sk,plain,
! [W1,W0] :
( ( sdtlpdtrp0(xe,sk45(W0)) = W0
& aElementOf0(sk45(W0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,sk45(W0)) = szDzizrdt0(xd)
& aElementOf0(sk45(W0),szNzAzT0) )
| ( ~ aElementOf0(W0,xO)
& ( sdtlpdtrp0(xe,W1) != W0
| ~ aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk45])],[f96_nnf]) ).
cnf(c1051,plain,
( sdtlpdtrp0(xe,sk45(X0)) = X0
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[status(esa)],[f96_sk]) ).
fof(f97,hypothesis,
( aElementOf0(xx,xO)
& ? [W0] :
( sdtlpdtrp0(xe,W0) = xx
& aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5009) ).
fof(f97_nnf,plain,
( aElementOf0(xx,xO)
& ? [W0] :
( sdtlpdtrp0(xe,W0) = xx
& aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
inference(nnf_transformation,[status(thm)],[f97]) ).
fof(f97_sk,plain,
( aElementOf0(xx,xO)
& sdtlpdtrp0(xe,sk46) = xx
& aElementOf0(sk46,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk46])],[f97_nnf]) ).
cnf(c1054,plain,
aElementOf0(xx,xO),
inference(cnf_transformation,[status(esa)],[f97_sk]) ).
cnf(p2608,plain,
sdtlpdtrp0(xe,sk45(xx)) = xx,
inference(resolution,[status(thm)],[c1051,c1054]) ).
cnf(c1048,plain,
( aElementOf0(sk45(X0),szNzAzT0)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[status(esa)],[f96_sk]) ).
cnf(p1166,plain,
aElementOf0(sk45(xx),szNzAzT0),
inference(resolution,[status(thm)],[c1048,c1054]) ).
fof(f98,conjecture,
? [W0] :
( sdtlpdtrp0(xe,W0) = xx
& aElementOf0(W0,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f98_neg,negated_conjecture,
~ ? [W0] :
( sdtlpdtrp0(xe,W0) = xx
& aElementOf0(W0,szNzAzT0) ),
inference(negated_conjecture,[status(cth)],[f98]) ).
fof(f98_nnf,plain,
! [W0] :
( sdtlpdtrp0(xe,W0) != xx
| ~ aElementOf0(W0,szNzAzT0) ),
inference(nnf_transformation,[status(thm)],[f98_neg]) ).
fof(f98_sk,plain,
! [W0] :
( sdtlpdtrp0(xe,W0) != xx
| ~ aElementOf0(W0,szNzAzT0) ),
inference(skolemisation,[status(esa)],[f98_nnf]) ).
cnf(c1055,plain,
( sdtlpdtrp0(xe,X0) != xx
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(esa)],[f98_sk]) ).
cnf(p1167,plain,
sdtlpdtrp0(xe,sk45(xx)) != xx,
inference(resolution,[status(thm)],[p1166,c1055]) ).
cnf(p2609,plain,
xx != xx,
inference(demodulation,[status(thm)],[p2608,p1167]) ).
cnf(p2610,plain,
$false,
inference(equality_resolution,[status(thm)],[p2609]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM602+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.42 % Computer : n015.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
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Thu Sep 24 04:55:10 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 38.65/5.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.65/5.49 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------