%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM609+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 : n003.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 02:20:31 PM UTC 2026
% Result : Theorem 29.44s 4.78s
% Output : Proof 29.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 50 ( 8 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 56 ( 18 ~; 13 |; 21 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 7 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f103,hypothesis,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [W0] :
( aElementOf0(W0,xP)
<=> ( W0 != szmzizndt0(xQ)
& aElementOf0(W0,xQ)
& aElement0(W0) ) )
& ! [W0] :
( aElementOf0(W0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),W0) )
& aSet0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
fof(f103_nnf,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [W0] :
( ( W0 = szmzizndt0(xQ)
| ~ aElementOf0(W0,xQ)
| ~ aElement0(W0)
| aElementOf0(W0,xP) )
& ( ( W0 != szmzizndt0(xQ)
& aElementOf0(W0,xQ)
& aElement0(W0) )
| ~ aElementOf0(W0,xP) ) )
& ! [W0] :
( sdtlseqdt0(szmzizndt0(xQ),W0)
| ~ aElementOf0(W0,xQ) )
& aSet0(xP) ),
inference(nnf_transformation,[status(thm)],[f103]) ).
fof(f103_sk,plain,
! [W0] :
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ( W0 = szmzizndt0(xQ)
| ~ aElementOf0(W0,xQ)
| ~ aElement0(W0)
| aElementOf0(W0,xP) )
& ( ( W0 != szmzizndt0(xQ)
& aElementOf0(W0,xQ)
& aElement0(W0) )
| ~ aElementOf0(W0,xP) )
& ( sdtlseqdt0(szmzizndt0(xQ),W0)
| ~ aElementOf0(W0,xQ) )
& aSet0(xP) ),
inference(skolemisation,[status(esa)],[f103_nnf]) ).
cnf(c1075,plain,
( aElementOf0(X0,xQ)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[status(esa)],[f103_sk]) ).
fof(f106,conjecture,
( aSubsetOf0(xP,xQ)
| ! [W0] :
( aElementOf0(W0,xP)
=> aElementOf0(W0,xQ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f106_neg,negated_conjecture,
~ ( aSubsetOf0(xP,xQ)
| ! [W0] :
( aElementOf0(W0,xP)
=> aElementOf0(W0,xQ) ) ),
inference(negated_conjecture,[status(cth)],[f106]) ).
fof(f106_nnf,plain,
( ~ aSubsetOf0(xP,xQ)
& ? [W0] :
( ~ aElementOf0(W0,xQ)
& aElementOf0(W0,xP) ) ),
inference(nnf_transformation,[status(thm)],[f106_neg]) ).
fof(f106_sk,plain,
( ~ aSubsetOf0(xP,xQ)
& ~ aElementOf0(sk48,xQ)
& aElementOf0(sk48,xP) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk48])],[f106_nnf]) ).
cnf(c1082,plain,
aElementOf0(sk48,xP),
inference(cnf_transformation,[status(esa)],[f106_sk]) ).
cnf(p1650,plain,
aElementOf0(sk48,xQ),
inference(resolution,[status(thm)],[c1075,c1082]) ).
cnf(c1083,plain,
~ aElementOf0(sk48,xQ),
inference(cnf_transformation,[status(esa)],[f106_sk]) ).
cnf(p1664,plain,
$false,
inference(resolution,[status(thm)],[p1650,c1083]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM609+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.43 % Computer : n003.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % 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 04:55:50 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 29.44/4.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.44/4.78 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------