%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET604+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 02:10:12 PM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 22 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 5 |; 2 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 15 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B] : subset(empty_set,B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [B,C] :
( difference(B,C) = empty_set
<=> subset(B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,conjecture,
! [B] : difference(empty_set,B) = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ ! [B] : difference(empty_set,B) = empty_set,
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
! [B,C] :
( ( ~ subset(B,C)
| difference(B,C) = empty_set )
& ( subset(B,C)
| difference(B,C) != empty_set ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
( ! [B,C] :
( ~ subset(B,C)
| difference(B,C) = empty_set )
& ! [B,C] :
( subset(B,C)
| difference(B,C) != empty_set ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f15,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| difference(X0,X1) = empty_set ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f40,plain,
? [B] : difference(empty_set,B) != empty_set,
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f41,plain,
difference(empty_set,sK2_skl) != empty_set,
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(B,sK2_skl)],[f40]) ).
fof(f42,plain,
difference(empty_set,sK2_skl) != empty_set,
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f45,plain,
! [X0] : difference(empty_set,X0) = empty_set,
inference(resolution,[status(thm)],[f15,f11]) ).
fof(f47,plain,
empty_set != empty_set,
inference(backward_demodulation,[status(thm)],[f45,f42]) ).
fof(f48,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET604+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.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 05:23:41 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.42 % Elapsed time: 0.051095 seconds
% 0.10/0.42 % CPU time: 0.147928 seconds
% 0.10/0.42 % Total memory used: 79.965 MB
% 0.10/0.42 % Net memory used: 79.520 MB
%------------------------------------------------------------------------------