%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM533+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 : Thu Sep 24 01:40:53 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 48 ( 13 ~; 9 |; 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 : 14 ( 13 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,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/sandbox/benchmark/theBenchmark.p') ).
fof(f16,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)],[f15]) ).
fof(f58,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(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f59,plain,
( ~ aSubsetOf0(xA,xC)
& ~ aElementOf0(sK2_skl,xC)
& aElementOf0(sK2_skl,xA)
& aSubsetOf0(xB,xC)
& ! [W0] :
( aElementOf0(W0,xC)
| ~ aElementOf0(W0,xB) )
& aSubsetOf0(xA,xB)
& ! [W0] :
( aElementOf0(W0,xB)
| ~ aElementOf0(W0,xA) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(W0,sK2_skl)],[f58]) ).
fof(f60,plain,
! [X0] :
( aElementOf0(X0,xB)
| ~ aElementOf0(X0,xA) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f62,plain,
! [X0] :
( aElementOf0(X0,xC)
| ~ aElementOf0(X0,xB) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f64,plain,
aElementOf0(sK2_skl,xA),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f65,plain,
~ aElementOf0(sK2_skl,xC),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f70,plain,
! [X0] :
( ~ aElementOf0(X0,xA)
| aElementOf0(X0,xC) ),
inference(resolution,[status(thm)],[f62,f60]) ).
fof(f71,plain,
aElementOf0(sK2_skl,xC),
inference(resolution,[status(thm)],[f70,f64]) ).
fof(f72,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f71,f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM533+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 02:41:06 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.045651 seconds
% 0.13/0.41 % CPU time: 0.149530 seconds
% 0.13/0.41 % Total memory used: 80.358 MB
% 0.13/0.41 % Net memory used: 80.030 MB
%------------------------------------------------------------------------------