%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET589+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 02:10:09 PM UTC 2026
% Result : Theorem 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 6 unt; 2 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 60 ( 26 ~; 20 |; 7 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 50 ( 46 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B,C,D] :
( ( subset(C,D)
& subset(B,C) )
=> subset(B,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [B,C,D] :
( subset(B,C)
=> subset(difference(B,D),difference(C,D)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [B,C,D] :
( subset(B,C)
=> subset(difference(D,C),difference(D,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
! [B,C,D,E] :
( ( subset(D,E)
& subset(B,C) )
=> subset(difference(B,E),difference(C,D)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ! [B,C,D,E] :
( ( subset(D,E)
& subset(B,C) )
=> subset(difference(B,E),difference(C,D)) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
! [B,C,D] :
( subset(B,D)
| ~ subset(C,D)
| ~ subset(B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f10,plain,
! [B,D] :
( subset(B,D)
| ! [C] :
( ~ subset(C,D)
| ~ subset(B,C) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f11,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
! [B,C,D] :
( subset(difference(B,D),difference(C,D))
| ~ subset(B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
! [B,C] :
( ! [D] : subset(difference(B,D),difference(C,D))
| ~ subset(B,C) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f14,plain,
! [X0,X1,X2] :
( subset(difference(X0,X2),difference(X1,X2))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
! [B,C,D] :
( subset(difference(D,C),difference(D,B))
| ~ subset(B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f16,plain,
! [B,C] :
( ! [D] : subset(difference(D,C),difference(D,B))
| ~ subset(B,C) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f17,plain,
! [X0,X1,X2] :
( subset(difference(X2,X1),difference(X2,X0))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f31,plain,
? [B,C,D,E] :
( ~ subset(difference(B,E),difference(C,D))
& subset(D,E)
& subset(B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f32,plain,
( ~ subset(difference(sK1_skl,sK4_skl),difference(sK2_skl,sK3_skl))
& subset(sK3_skl,sK4_skl)
& subset(sK1_skl,sK2_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(D,sK3_skl),skolemize(E,sK4_skl)],[f31]) ).
fof(f33,plain,
subset(sK1_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f34,plain,
subset(sK3_skl,sK4_skl),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f35,plain,
~ subset(difference(sK1_skl,sK4_skl),difference(sK2_skl,sK3_skl)),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f36,plain,
! [X0] :
( ~ subset(X0,difference(sK2_skl,sK3_skl))
| ~ subset(difference(sK1_skl,sK4_skl),X0) ),
inference(resolution,[status(thm)],[f11,f35]) ).
fof(f37,plain,
! [X0] :
( ~ subset(X0,sK4_skl)
| ~ subset(difference(sK1_skl,X0),difference(sK2_skl,sK3_skl)) ),
inference(resolution,[status(thm)],[f36,f17]) ).
fof(f41,plain,
( ~ subset(sK1_skl,sK2_skl)
| ~ subset(sK3_skl,sK4_skl) ),
inference(resolution,[status(thm)],[f37,f14]) ).
fof(f43,definition,
( sQ0_spl
<=> subset(sK3_skl,sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f45,plain,
( sQ0_spl
| ~ subset(sK3_skl,sK4_skl) ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f46,definition,
( sQ1_spl
<=> subset(sK1_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f48,plain,
( sQ1_spl
| ~ subset(sK1_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f49,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f41,f43,f46]) ).
fof(f50,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f45,f34]) ).
fof(f51,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f50]) ).
fof(f52,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f48,f33]) ).
fof(f53,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f52]) ).
fof(f54,plain,
$false,
inference(sat_refutation,[status(thm)],[f49,f51,f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET589+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.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 05:27:43 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.42 % Elapsed time: 0.043937 seconds
% 0.10/0.42 % CPU time: 0.108527 seconds
% 0.10/0.42 % Total memory used: 16.776 MB
% 0.10/0.42 % Net memory used: 16.294 MB
%------------------------------------------------------------------------------