%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM617+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 : 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 22.24s 3.29s
% Output : Proof 22.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 70 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 61 ( 16 ~; 9 |; 33 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f98,hypothesis,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& sbrdtbr0(xQ) = xK
& aSubsetOf0(xQ,xO)
& ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xO) )
& aSet0(xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).
fof(f98_nnf,plain,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& sbrdtbr0(xQ) = xK
& aSubsetOf0(xQ,xO)
& ! [W0] :
( aElementOf0(W0,xO)
| ~ aElementOf0(W0,xQ) )
& aSet0(xQ) ),
inference(nnf_transformation,[status(thm)],[f98]) ).
fof(f98_sk,plain,
! [W0] :
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& sbrdtbr0(xQ) = xK
& aSubsetOf0(xQ,xO)
& ( aElementOf0(W0,xO)
| ~ aElementOf0(W0,xQ) )
& aSet0(xQ) ),
inference(skolemisation,[status(esa)],[f98_nnf]) ).
cnf(c1055,plain,
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[status(esa)],[f98_sk]) ).
fof(f112,hypothesis,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5348) ).
fof(f112_nnf,plain,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
inference(nnf_transformation,[status(thm)],[f112]) ).
fof(f112_sk,plain,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
inference(skolemisation,[status(esa)],[f112_nnf]) ).
cnf(c1095,plain,
aElementOf0(xx,xQ),
inference(cnf_transformation,[status(esa)],[f112_sk]) ).
cnf(p1496,plain,
aElementOf0(xx,xO),
inference(resolution,[status(thm)],[c1055,c1095]) ).
fof(f97,hypothesis,
( aSubsetOf0(xO,xS)
& ! [W0] :
( aElementOf0(W0,xO)
=> aElementOf0(W0,xS) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4998) ).
fof(f97_nnf,plain,
( aSubsetOf0(xO,xS)
& ! [W0] :
( aElementOf0(W0,xS)
| ~ aElementOf0(W0,xO) ) ),
inference(nnf_transformation,[status(thm)],[f97]) ).
fof(f97_sk,plain,
! [W0] :
( aSubsetOf0(xO,xS)
& ( aElementOf0(W0,xS)
| ~ aElementOf0(W0,xO) ) ),
inference(skolemisation,[status(esa)],[f97_nnf]) ).
cnf(c1052,plain,
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[status(esa)],[f97_sk]) ).
cnf(p1498,plain,
aElementOf0(xx,xS),
inference(resolution,[status(thm)],[p1496,c1052]) ).
fof(f74,hypothesis,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(f74_nnf,plain,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
| ~ aElementOf0(W0,xS) )
& aSet0(xS) ),
inference(nnf_transformation,[status(thm)],[f74]) ).
fof(f74_sk,plain,
! [W0] :
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ( aElementOf0(W0,szNzAzT0)
| ~ aElementOf0(W0,xS) )
& aSet0(xS) ),
inference(skolemisation,[status(esa)],[f74_nnf]) ).
cnf(c169,plain,
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[status(esa)],[f74_sk]) ).
cnf(p1508,plain,
aElementOf0(xx,szNzAzT0),
inference(resolution,[status(thm)],[p1498,c169]) ).
fof(f113,conjecture,
aElementOf0(xx,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f113_neg,negated_conjecture,
~ aElementOf0(xx,szNzAzT0),
inference(negated_conjecture,[status(cth)],[f113]) ).
fof(f113_nnf,plain,
~ aElementOf0(xx,szNzAzT0),
inference(nnf_transformation,[status(thm)],[f113_neg]) ).
fof(f113_sk,plain,
~ aElementOf0(xx,szNzAzT0),
inference(skolemisation,[status(esa)],[f113_nnf]) ).
cnf(c1098,plain,
~ aElementOf0(xx,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f113_sk]) ).
cnf(p1524,plain,
$false,
inference(resolution,[status(thm)],[p1508,c1098]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM617+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 04:56:11 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 22.24/3.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.24/3.29 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------