%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU264+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 02:19:57 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 5 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 65 ( 29 ~; 19 |; 9 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 59 ( 51 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f199,lemma,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
=> ( subset(relation_rng(C),B)
& subset(relation_dom(C),A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f210,lemma,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(relation_rng(D),B)
=> relation_of2_as_subset(D,C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f214,conjecture,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(A,B)
=> relation_of2_as_subset(D,C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f215,negated_conjecture,
~ ! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(A,B)
=> relation_of2_as_subset(D,C,B) ) ),
inference(negated_conjecture,[status(cth)],[f214]) ).
fof(f226,lemma,
! [A,B,C] :
( ( subset(B,C)
& subset(A,B) )
=> subset(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1106,plain,
! [A,B,C] :
( ( subset(relation_rng(C),B)
& subset(relation_dom(C),A) )
| ~ relation_of2_as_subset(C,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f199]) ).
fof(f1108,plain,
! [X0,X1,X2] :
( subset(relation_rng(X0),X2)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f1106]) ).
fof(f1146,plain,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,B)
| ~ subset(relation_rng(D),B)
| ~ relation_of2_as_subset(D,C,A) ),
inference(pre_NNF_transformation,[status(thm)],[f210]) ).
fof(f1147,plain,
! [C,D] :
( ! [B] :
( relation_of2_as_subset(D,C,B)
| ~ subset(relation_rng(D),B) )
| ! [A] : ~ relation_of2_as_subset(D,C,A) ),
inference(miniscoping,[status(thm)],[f1146]) ).
fof(f1148,plain,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X0,X1,X3)
| ~ subset(relation_rng(X0),X3)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f1147]) ).
fof(f1162,plain,
? [A,B,C,D] :
( ~ relation_of2_as_subset(D,C,B)
& subset(A,B)
& relation_of2_as_subset(D,C,A) ),
inference(pre_NNF_transformation,[status(thm)],[f215]) ).
fof(f1163,plain,
? [A,C,D] :
( ? [B] :
( ~ relation_of2_as_subset(D,C,B)
& subset(A,B) )
& relation_of2_as_subset(D,C,A) ),
inference(miniscoping,[status(thm)],[f1162]) ).
fof(f1164,plain,
( ~ relation_of2_as_subset(sK110_skl,sK109_skl,sK111_skl)
& subset(sK108_skl,sK111_skl)
& relation_of2_as_subset(sK110_skl,sK109_skl,sK108_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK108_skl,sK109_skl,sK110_skl,sK111_skl]),skolemize(A,sK108_skl),skolemize(C,sK109_skl),skolemize(D,sK110_skl),skolemize(B,sK111_skl)],[f1163]) ).
fof(f1165,plain,
relation_of2_as_subset(sK110_skl,sK109_skl,sK108_skl),
inference(cnf_transformation,[status(thm)],[f1164]) ).
fof(f1166,plain,
subset(sK108_skl,sK111_skl),
inference(cnf_transformation,[status(thm)],[f1164]) ).
fof(f1167,plain,
~ relation_of2_as_subset(sK110_skl,sK109_skl,sK111_skl),
inference(cnf_transformation,[status(thm)],[f1164]) ).
fof(f1196,plain,
! [A,B,C] :
( subset(A,C)
| ~ subset(B,C)
| ~ subset(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f226]) ).
fof(f1197,plain,
! [A,C] :
( subset(A,C)
| ! [B] :
( ~ subset(B,C)
| ~ subset(A,B) ) ),
inference(miniscoping,[status(thm)],[f1196]) ).
fof(f1198,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1197]) ).
fof(f1681,plain,
! [X0] :
( ~ subset(relation_rng(sK110_skl),sK111_skl)
| ~ relation_of2_as_subset(sK110_skl,sK109_skl,X0) ),
inference(resolution,[status(thm)],[f1148,f1167]) ).
fof(f1686,plain,
! [X0,X1] :
( ~ subset(X1,sK111_skl)
| ~ subset(relation_rng(sK110_skl),X1)
| ~ relation_of2_as_subset(sK110_skl,sK109_skl,X0) ),
inference(resolution,[status(thm)],[f1681,f1198]) ).
fof(f1708,plain,
! [X0] :
( ~ subset(X0,sK111_skl)
| ~ subset(relation_rng(sK110_skl),X0) ),
inference(resolution,[status(thm)],[f1686,f1165]) ).
fof(f1714,plain,
! [X0,X1] :
( ~ relation_of2_as_subset(sK110_skl,X1,X0)
| ~ subset(X0,sK111_skl) ),
inference(resolution,[status(thm)],[f1708,f1108]) ).
fof(f1722,plain,
~ subset(sK108_skl,sK111_skl),
inference(resolution,[status(thm)],[f1714,f1165]) ).
fof(f1724,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1722,f1166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU264+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n019.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 06:05:19 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.14/0.39 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.067446 seconds
% 0.14/0.43 % CPU time: 0.123153 seconds
% 0.14/0.43 % Total memory used: 29.492 MB
% 0.14/0.43 % Net memory used: 29.351 MB
%------------------------------------------------------------------------------