%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM533+2 : 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 02:20:17 PM UTC 2026
% Result : Theorem 2.93s 0.87s
% Output : Proof 2.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 46 ( 12 ~; 8 |; 18 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 9 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,conjecture,
( ( aSubsetOf0(xB,xC)
& ! [W0] :
( aElementOf0(W0,xB)
=> aElementOf0(W0,xC) )
& aSubsetOf0(xA,xB)
& ! [W0] :
( aElementOf0(W0,xA)
=> aElementOf0(W0,xB) ) )
=> ( aSubsetOf0(xA,xC)
| ! [W0] :
( aElementOf0(W0,xA)
=> aElementOf0(W0,xC) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f14_neg,negated_conjecture,
~ ( ( aSubsetOf0(xB,xC)
& ! [W0] :
( aElementOf0(W0,xB)
=> aElementOf0(W0,xC) )
& aSubsetOf0(xA,xB)
& ! [W0] :
( aElementOf0(W0,xA)
=> aElementOf0(W0,xB) ) )
=> ( aSubsetOf0(xA,xC)
| ! [W0] :
( aElementOf0(W0,xA)
=> aElementOf0(W0,xC) ) ) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f14_nnf,plain,
( ~ aSubsetOf0(xA,xC)
& ? [W0] :
( ~ aElementOf0(W0,xC)
& aElementOf0(W0,xA) )
& aSubsetOf0(xB,xC)
& ! [W0] :
( aElementOf0(W0,xC)
| ~ aElementOf0(W0,xB) )
& aSubsetOf0(xA,xB)
& ! [W0] :
( aElementOf0(W0,xB)
| ~ aElementOf0(W0,xA) ) ),
inference(nnf_transformation,[status(thm)],[f14_neg]) ).
fof(f14_sk,plain,
! [W0] :
( ~ aSubsetOf0(xA,xC)
& ~ aElementOf0(sk2,xC)
& aElementOf0(sk2,xA)
& aSubsetOf0(xB,xC)
& ( aElementOf0(W0,xC)
| ~ aElementOf0(W0,xB) )
& aSubsetOf0(xA,xB)
& ( aElementOf0(W0,xB)
| ~ aElementOf0(W0,xA) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2])],[f14_nnf]) ).
cnf(c25,plain,
aElementOf0(sk2,xA),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(c21,plain,
( aElementOf0(X0,xB)
| ~ aElementOf0(X0,xA) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p65,plain,
aElementOf0(sk2,xB),
inference(resolution,[status(thm)],[c25,c21]) ).
cnf(c23,plain,
( aElementOf0(X0,xC)
| ~ aElementOf0(X0,xB) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p102,plain,
aElementOf0(sk2,xC),
inference(resolution,[status(thm)],[p65,c23]) ).
cnf(c26,plain,
~ aElementOf0(sk2,xC),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p122,plain,
$false,
inference(resolution,[status(thm)],[p102,c26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM533+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 04:32:41 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.93/0.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.93/0.87 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------