%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET605+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 : n005.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 0.08s 0.38s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 13 unt; 0 def)
% Number of atoms : 25 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 5 |; 2 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 24 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B,C] : subset(B,union(B,C)),
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(f7,axiom,
! [B,C] : union(B,C) = union(C,B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,conjecture,
! [B,C] : difference(B,union(B,C)) = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ ! [B,C] : difference(B,union(B,C)) = empty_set,
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0,X1] : subset(X0,union(X0,X1)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f15,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(f16,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)],[f15]) ).
fof(f18,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| difference(X0,X1) = empty_set ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f35,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f56,plain,
? [B,C] : difference(B,union(B,C)) != empty_set,
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f57,plain,
difference(sK3_skl,union(sK3_skl,sK4_skl)) != empty_set,
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(B,sK3_skl),skolemize(C,sK4_skl)],[f56]) ).
fof(f58,plain,
difference(sK3_skl,union(sK3_skl,sK4_skl)) != empty_set,
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f61,plain,
difference(sK3_skl,union(sK4_skl,sK3_skl)) != empty_set,
inference(backward_demodulation,[status(thm)],[f35,f58]) ).
fof(f66,plain,
! [X0,X1] : subset(X0,union(X1,X0)),
inference(paramodulation,[status(thm)],[f35,f14]) ).
fof(f78,plain,
~ subset(sK3_skl,union(sK4_skl,sK3_skl)),
inference(resolution,[status(thm)],[f61,f18]) ).
fof(f79,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f78,f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET605+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 05:28:18 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.041037 seconds
% 0.12/0.40 % CPU time: 0.104574 seconds
% 0.12/0.40 % Total memory used: 54.009 MB
% 0.12/0.40 % Net memory used: 53.846 MB
%------------------------------------------------------------------------------