%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET596+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 : n018.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 02:10:10 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 37 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 13 ~; 6 |; 8 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 22 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B] :
( subset(B,empty_set)
=> B = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [B,C,D] :
( subset(B,C)
=> subset(intersection(B,D),intersection(C,D)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,conjecture,
! [B,C,D] :
( ( intersection(C,D) = empty_set
& subset(B,C) )
=> intersection(B,D) = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
~ ! [B,C,D] :
( ( intersection(C,D) = empty_set
& subset(B,C) )
=> intersection(B,D) = empty_set ),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f13,plain,
! [B] :
( B = empty_set
| ~ subset(B,empty_set) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f14,plain,
! [X0] :
( X0 = empty_set
| ~ subset(X0,empty_set) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
! [B,C,D] :
( subset(intersection(B,D),intersection(C,D))
| ~ subset(B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f16,plain,
! [B,C] :
( ! [D] : subset(intersection(B,D),intersection(C,D))
| ~ subset(B,C) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f17,plain,
! [X0,X1,X2] :
( subset(intersection(X0,X2),intersection(X1,X2))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f50,plain,
? [B,C,D] :
( intersection(B,D) != empty_set
& intersection(C,D) = empty_set
& subset(B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f51,plain,
? [B,D] :
( intersection(B,D) != empty_set
& ? [C] :
( intersection(C,D) = empty_set
& subset(B,C) ) ),
inference(miniscoping,[status(thm)],[f50]) ).
fof(f52,plain,
( intersection(sK3_skl,sK4_skl) != empty_set
& intersection(sK5_skl,sK4_skl) = empty_set
& subset(sK3_skl,sK5_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(B,sK3_skl),skolemize(D,sK4_skl),skolemize(C,sK5_skl)],[f51]) ).
fof(f53,plain,
subset(sK3_skl,sK5_skl),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
intersection(sK5_skl,sK4_skl) = empty_set,
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f55,plain,
intersection(sK3_skl,sK4_skl) != empty_set,
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f59,plain,
! [X0] :
( subset(intersection(X0,sK4_skl),empty_set)
| ~ subset(X0,sK5_skl) ),
inference(paramodulation,[status(thm)],[f54,f17]) ).
fof(f72,plain,
~ subset(intersection(sK3_skl,sK4_skl),empty_set),
inference(resolution,[status(thm)],[f55,f14]) ).
fof(f107,plain,
~ subset(sK3_skl,sK5_skl),
inference(resolution,[status(thm)],[f72,f59]) ).
fof(f108,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f107,f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET596+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 : n018.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 05:30:13 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.061848 seconds
% 0.13/0.42 % CPU time: 0.164151 seconds
% 0.13/0.42 % Total memory used: 101.949 MB
% 0.13/0.42 % Net memory used: 101.569 MB
%------------------------------------------------------------------------------