%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM548+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 02:20:20 PM UTC 2026
% Result : Theorem 16.29s 2.57s
% Output : Proof 16.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 47 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 43 ( 15 ~; 11 |; 14 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40,axiom,
! [W0] :
( aSet0(W0)
=> ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
<=> isFinite0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
fof(f40_nnf,plain,
! [W0] :
( ( ( ~ isFinite0(W0)
| aElementOf0(sbrdtbr0(W0),szNzAzT0) )
& ( isFinite0(W0)
| ~ aElementOf0(sbrdtbr0(W0),szNzAzT0) ) )
| ~ aSet0(W0) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [W0] :
( ( ( ~ isFinite0(W0)
| aElementOf0(sbrdtbr0(W0),szNzAzT0) )
& ( isFinite0(W0)
| ~ aElementOf0(sbrdtbr0(W0),szNzAzT0) ) )
| ~ aSet0(W0) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c74,plain,
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
fof(f64,hypothesis,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& sbrdtbr0(xQ) = xk
& aSubsetOf0(xQ,xS)
& ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xS) )
& aSet0(xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2270) ).
fof(f64_nnf,plain,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& sbrdtbr0(xQ) = xk
& aSubsetOf0(xQ,xS)
& ! [W0] :
( aElementOf0(W0,xS)
| ~ aElementOf0(W0,xQ) )
& aSet0(xQ) ),
inference(nnf_transformation,[status(thm)],[f64]) ).
fof(f64_sk,plain,
! [W0] :
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& sbrdtbr0(xQ) = xk
& aSubsetOf0(xQ,xS)
& ( aElementOf0(W0,xS)
| ~ aElementOf0(W0,xQ) )
& aSet0(xQ) ),
inference(skolemisation,[status(esa)],[f64_nnf]) ).
cnf(c157,plain,
aSet0(xQ),
inference(cnf_transformation,[status(esa)],[f64_sk]) ).
cnf(p373,plain,
( isFinite0(xQ)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(resolution,[status(thm)],[c74,c157]) ).
fof(f60,hypothesis,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202) ).
fof(f60_nnf,plain,
aElementOf0(xk,szNzAzT0),
inference(nnf_transformation,[status(thm)],[f60]) ).
cnf(c125,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f60_nnf]) ).
cnf(p377,plain,
isFinite0(xQ),
inference(resolution,[status(thm)],[p373,c125]) ).
fof(f65,conjecture,
isFinite0(xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f65_neg,negated_conjecture,
~ isFinite0(xQ),
inference(negated_conjecture,[status(cth)],[f65]) ).
fof(f65_nnf,plain,
~ isFinite0(xQ),
inference(nnf_transformation,[status(thm)],[f65_neg]) ).
fof(f65_sk,plain,
~ isFinite0(xQ),
inference(skolemisation,[status(esa)],[f65_nnf]) ).
cnf(c162,plain,
~ isFinite0(xQ),
inference(cnf_transformation,[status(esa)],[f65_sk]) ).
cnf(p378,plain,
$false,
inference(resolution,[status(thm)],[p377,c162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM548+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % 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 04:34:12 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 16.29/2.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.29/2.57 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------