%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU382+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 02:20:21 PM UTC 2026
% Result : Theorem 4.97s 1.35s
% Output : CNFRefutation 4.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 15 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 13 ( 12 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f534,axiom,
! [A] : k1_pcomps_1(A) = powerset(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f672,lemma,
! [A] :
( the_InternalRel(incl_POSet(A)) = inclusion_order(A)
& the_carrier(incl_POSet(A)) = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f777,conjecture,
! [A] : the_carrier(boole_POSet(A)) = powerset(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f778,negated_conjecture,
~ ! [A] : the_carrier(boole_POSet(A)) = powerset(A),
inference(negated_conjecture,[status(cth)],[f777]) ).
fof(f781,lemma,
! [A] : boole_POSet(A) = incl_POSet(powerset(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3435,plain,
! [X0] : k1_pcomps_1(X0) = powerset(X0),
inference(cnf_transformation,[status(thm)],[f534]) ).
fof(f4234,plain,
( ! [A] : the_InternalRel(incl_POSet(A)) = inclusion_order(A)
& ! [A] : the_carrier(incl_POSet(A)) = A ),
inference(miniscoping,[status(thm)],[f672]) ).
fof(f4235,plain,
! [X0] : the_carrier(incl_POSet(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f4234]) ).
fof(f4584,plain,
? [A] : the_carrier(boole_POSet(A)) != powerset(A),
inference(pre_NNF_transformation,[status(thm)],[f778]) ).
fof(f4585,plain,
the_carrier(boole_POSet(sK463_skl)) != powerset(sK463_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK463_skl]),skolemize(A,sK463_skl)],[f4584]) ).
fof(f4586,plain,
the_carrier(boole_POSet(sK463_skl)) != powerset(sK463_skl),
inference(cnf_transformation,[status(thm)],[f4585]) ).
fof(f4594,plain,
! [X0] : boole_POSet(X0) = incl_POSet(powerset(X0)),
inference(cnf_transformation,[status(thm)],[f781]) ).
fof(f6699,plain,
the_carrier(boole_POSet(sK463_skl)) != k1_pcomps_1(sK463_skl),
inference(backward_demodulation,[status(thm)],[f3435,f4586]) ).
fof(f7087,plain,
! [X0] : boole_POSet(X0) = incl_POSet(k1_pcomps_1(X0)),
inference(forward_demodulation,[status(thm)],[f3435,f4594]) ).
fof(f7090,plain,
! [X0] : the_carrier(boole_POSet(X0)) = k1_pcomps_1(X0),
inference(paramodulation,[status(thm)],[f7087,f4235]) ).
fof(f8846,plain,
k1_pcomps_1(sK463_skl) != k1_pcomps_1(sK463_skl),
inference(backward_demodulation,[status(thm)],[f7090,f6699]) ).
fof(f8848,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f8846]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU382+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n018.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 06:19:44 UTC 2026
% 0.17/0.46 % CPUTime :
% 0.35/0.63 % Drodi V4.1.1
% 4.97/1.35 % Refutation found
% 4.97/1.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.97/1.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.97/1.36 % Elapsed time: 0.889306 seconds
% 4.97/1.36 % CPU time: 5.548041 seconds
% 4.97/1.36 % Total memory used: 275.940 MB
% 4.97/1.36 % Net memory used: 273.191 MB
%------------------------------------------------------------------------------