%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET583+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 : n007.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 02:10:08 PM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 6 unt; 2 def)
% Number of atoms : 52 ( 14 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 48 ( 18 ~; 14 |; 11 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 16 ( 14 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B,C] :
( B = C
<=> ( subset(C,B)
& subset(B,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,conjecture,
! [B,C] :
( ( subset(C,B)
& subset(B,C) )
=> B = C ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ ! [B,C] :
( ( subset(C,B)
& subset(B,C) )
=> B = C ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
! [B,C] :
( ( ~ subset(C,B)
| ~ subset(B,C)
| B = C )
& ( ( subset(C,B)
& subset(B,C) )
| B != C ) ),
inference(NNF_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
( ! [B,C] :
( ~ subset(C,B)
| ~ subset(B,C)
| B = C )
& ! [B,C] :
( ( subset(C,B)
& subset(B,C) )
| B != C ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f10,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f19,plain,
? [B,C] :
( B != C
& subset(C,B)
& subset(B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f20,plain,
( sK1_skl != sK2_skl
& subset(sK2_skl,sK1_skl)
& subset(sK1_skl,sK2_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f19]) ).
fof(f21,plain,
subset(sK1_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f22,plain,
subset(sK2_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f23,plain,
sK1_skl != sK2_skl,
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f26,plain,
( ~ subset(sK1_skl,sK2_skl)
| sK1_skl = sK2_skl ),
inference(resolution,[status(thm)],[f10,f22]) ).
fof(f29,definition,
( sQ0_spl
<=> sK1_skl = sK2_skl ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f30,plain,
( ~ sQ0_spl
| sK1_skl = sK2_skl ),
inference(component_clause,[status(thm)],[f29]) ).
fof(f32,definition,
( sQ1_spl
<=> subset(sK1_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f34,plain,
( sQ1_spl
| ~ subset(sK1_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f32]) ).
fof(f35,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f26,f29,f32]) ).
fof(f40,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f30,f23]) ).
fof(f41,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f40]) ).
fof(f42,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f34,f21]) ).
fof(f43,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f42]) ).
fof(f44,plain,
$false,
inference(sat_refutation,[status(thm)],[f35,f41,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET583+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:25:08 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42 % Elapsed time: 0.050672 seconds
% 0.09/0.42 % CPU time: 0.144239 seconds
% 0.09/0.42 % Total memory used: 79.753 MB
% 0.09/0.42 % Net memory used: 79.285 MB
%------------------------------------------------------------------------------