%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU269+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 02:19:58 PM UTC 2026
% Result : Theorem 0.13s 0.42s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 72 ( 20 unt; 0 def)
% Number of atoms : 273 ( 22 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 329 ( 128 ~; 142 |; 45 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 130 ( 119 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [A] :
( relation(A)
=> ( transitive(A)
<=> is_transitive_in(A,relation_field(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] :
( relation(B)
=> ( B = inclusion_relation(A)
<=> ( ! [C,D] :
( ( in(D,A)
& in(C,A) )
=> ( in(ordered_pair(C,D),B)
<=> subset(C,D) ) )
& relation_field(B) = A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] :
( relation(A)
=> ! [B] :
( is_transitive_in(A,B)
<=> ! [C,D,E] :
( ( in(ordered_pair(D,E),A)
& in(ordered_pair(C,D),A)
& in(E,B)
& in(D,B)
& in(C,B) )
=> in(ordered_pair(C,E),A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A] : relation(inclusion_relation(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [A,B,C] :
( ( subset(B,C)
& subset(A,B) )
=> subset(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,conjecture,
! [A] : transitive(inclusion_relation(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
~ ! [A] : transitive(inclusion_relation(A)),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f73,plain,
! [A] :
( ( transitive(A)
<=> is_transitive_in(A,relation_field(A)) )
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f74,plain,
! [A] :
( ( ( ~ is_transitive_in(A,relation_field(A))
| transitive(A) )
& ( is_transitive_in(A,relation_field(A))
| ~ transitive(A) ) )
| ~ relation(A) ),
inference(NNF_transformation,[status(thm)],[f73]) ).
fof(f76,plain,
! [X0] :
( ~ is_transitive_in(X0,relation_field(X0))
| transitive(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f77,plain,
! [A,B] :
( ( B = inclusion_relation(A)
<=> ( ! [C,D] :
( ( in(ordered_pair(C,D),B)
<=> subset(C,D) )
| ~ in(D,A)
| ~ in(C,A) )
& relation_field(B) = A ) )
| ~ relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f78,plain,
! [A,B] :
( ( ( ? [C,D] :
( ( subset(C,D)
| in(ordered_pair(C,D),B) )
& ( ~ subset(C,D)
| ~ in(ordered_pair(C,D),B) )
& in(D,A)
& in(C,A) )
| relation_field(B) != A
| B = inclusion_relation(A) )
& ( ( ! [C,D] :
( ( ( ~ subset(C,D)
| in(ordered_pair(C,D),B) )
& ( subset(C,D)
| ~ in(ordered_pair(C,D),B) ) )
| ~ in(D,A)
| ~ in(C,A) )
& relation_field(B) = A )
| B != inclusion_relation(A) ) )
| ~ relation(B) ),
inference(NNF_transformation,[status(thm)],[f77]) ).
fof(f79,plain,
! [B] :
( ( ! [A] :
( ? [C,D] :
( ( subset(C,D)
| in(ordered_pair(C,D),B) )
& ( ~ subset(C,D)
| ~ in(ordered_pair(C,D),B) )
& in(D,A)
& in(C,A) )
| relation_field(B) != A
| B = inclusion_relation(A) )
& ! [A] :
( ( ! [C,D] :
( ( ( ~ subset(C,D)
| in(ordered_pair(C,D),B) )
& ( subset(C,D)
| ~ in(ordered_pair(C,D),B) ) )
| ~ in(D,A)
| ~ in(C,A) )
& relation_field(B) = A )
| B != inclusion_relation(A) ) )
| ~ relation(B) ),
inference(miniscoping,[status(thm)],[f78]) ).
fof(f80,plain,
! [B] :
( ( ! [A] :
( ( ( subset(sK0_skl(A,B),sK1_skl(A,B))
| in(ordered_pair(sK0_skl(A,B),sK1_skl(A,B)),B) )
& ( ~ subset(sK0_skl(A,B),sK1_skl(A,B))
| ~ in(ordered_pair(sK0_skl(A,B),sK1_skl(A,B)),B) )
& in(sK1_skl(A,B),A)
& in(sK0_skl(A,B),A) )
| relation_field(B) != A
| B = inclusion_relation(A) )
& ! [A] :
( ( ! [C,D] :
( ( ( ~ subset(C,D)
| in(ordered_pair(C,D),B) )
& ( subset(C,D)
| ~ in(ordered_pair(C,D),B) ) )
| ~ in(D,A)
| ~ in(C,A) )
& relation_field(B) = A )
| B != inclusion_relation(A) ) )
| ~ relation(B) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(C,sK0_skl(A,B)),skolemize(D,sK1_skl(A,B))],[f79]) ).
fof(f81,plain,
! [X0,X1] :
( relation_field(X0) = X1
| X0 != inclusion_relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( subset(X2,X3)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(X3,X1)
| ~ in(X2,X1)
| X0 != inclusion_relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( ~ subset(X2,X3)
| in(ordered_pair(X2,X3),X0)
| ~ in(X3,X1)
| ~ in(X2,X1)
| X0 != inclusion_relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f91,plain,
! [A] :
( ! [B] :
( is_transitive_in(A,B)
<=> ! [C,D,E] :
( in(ordered_pair(C,E),A)
| ~ in(ordered_pair(D,E),A)
| ~ in(ordered_pair(C,D),A)
| ~ in(E,B)
| ~ in(D,B)
| ~ in(C,B) ) )
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f92,plain,
! [A] :
( ! [B] :
( ( ? [C,D,E] :
( ~ in(ordered_pair(C,E),A)
& in(ordered_pair(D,E),A)
& in(ordered_pair(C,D),A)
& in(E,B)
& in(D,B)
& in(C,B) )
| is_transitive_in(A,B) )
& ( ! [C,D,E] :
( in(ordered_pair(C,E),A)
| ~ in(ordered_pair(D,E),A)
| ~ in(ordered_pair(C,D),A)
| ~ in(E,B)
| ~ in(D,B)
| ~ in(C,B) )
| ~ is_transitive_in(A,B) ) )
| ~ relation(A) ),
inference(NNF_transformation,[status(thm)],[f91]) ).
fof(f93,plain,
! [A] :
( ( ! [B] :
( ? [C,E] :
( ~ in(ordered_pair(C,E),A)
& ? [D] :
( in(ordered_pair(D,E),A)
& in(ordered_pair(C,D),A)
& in(E,B)
& in(D,B)
& in(C,B) ) )
| is_transitive_in(A,B) )
& ! [B] :
( ! [C,E] :
( in(ordered_pair(C,E),A)
| ! [D] :
( ~ in(ordered_pair(D,E),A)
| ~ in(ordered_pair(C,D),A)
| ~ in(E,B)
| ~ in(D,B)
| ~ in(C,B) ) )
| ~ is_transitive_in(A,B) ) )
| ~ relation(A) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f94,plain,
! [A] :
( ( ! [B] :
( ( ~ in(ordered_pair(sK2_skl(B,A),sK3_skl(B,A)),A)
& in(ordered_pair(sK4_skl(B,A),sK3_skl(B,A)),A)
& in(ordered_pair(sK2_skl(B,A),sK4_skl(B,A)),A)
& in(sK3_skl(B,A),B)
& in(sK4_skl(B,A),B)
& in(sK2_skl(B,A),B) )
| is_transitive_in(A,B) )
& ! [B] :
( ! [C,E] :
( in(ordered_pair(C,E),A)
| ! [D] :
( ~ in(ordered_pair(D,E),A)
| ~ in(ordered_pair(C,D),A)
| ~ in(E,B)
| ~ in(D,B)
| ~ in(C,B) ) )
| ~ is_transitive_in(A,B) ) )
| ~ relation(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(C,sK2_skl(B,A)),skolemize(E,sK3_skl(B,A)),skolemize(D,sK4_skl(B,A))],[f93]) ).
fof(f96,plain,
! [X0,X1] :
( in(sK2_skl(X1,X0),X1)
| is_transitive_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f97,plain,
! [X0,X1] :
( in(sK4_skl(X1,X0),X1)
| is_transitive_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f98,plain,
! [X0,X1] :
( in(sK3_skl(X1,X0),X1)
| is_transitive_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f99,plain,
! [X0,X1] :
( in(ordered_pair(sK2_skl(X1,X0),sK4_skl(X1,X0)),X0)
| is_transitive_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f100,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0),sK3_skl(X1,X0)),X0)
| is_transitive_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f101,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK2_skl(X1,X0),sK3_skl(X1,X0)),X0)
| is_transitive_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f102,plain,
! [X0] : relation(inclusion_relation(X0)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f164,plain,
! [A,B,C] :
( subset(A,C)
| ~ subset(B,C)
| ~ subset(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f44]) ).
fof(f165,plain,
! [A,C] :
( subset(A,C)
| ! [B] :
( ~ subset(B,C)
| ~ subset(A,B) ) ),
inference(miniscoping,[status(thm)],[f164]) ).
fof(f166,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f173,plain,
? [A] : ~ transitive(inclusion_relation(A)),
inference(pre_NNF_transformation,[status(thm)],[f48]) ).
fof(f174,plain,
~ transitive(inclusion_relation(sK15_skl)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(A,sK15_skl)],[f173]) ).
fof(f175,plain,
~ transitive(inclusion_relation(sK15_skl)),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f190,plain,
! [X0] :
( relation_field(inclusion_relation(X0)) = X0
| ~ relation(inclusion_relation(X0)) ),
inference(destructive_equality_resolution,[status(thm)],[f81]) ).
fof(f191,plain,
! [X0,X1,X2] :
( subset(X1,X2)
| ~ in(ordered_pair(X1,X2),inclusion_relation(X0))
| ~ in(X2,X0)
| ~ in(X1,X0)
| ~ relation(inclusion_relation(X0)) ),
inference(destructive_equality_resolution,[status(thm)],[f82]) ).
fof(f192,plain,
! [X0,X1,X2] :
( ~ subset(X1,X2)
| in(ordered_pair(X1,X2),inclusion_relation(X0))
| ~ in(X2,X0)
| ~ in(X1,X0)
| ~ relation(inclusion_relation(X0)) ),
inference(destructive_equality_resolution,[status(thm)],[f83]) ).
fof(f197,plain,
! [X0] :
( ~ is_transitive_in(inclusion_relation(X0),relation_field(inclusion_relation(X0)))
| transitive(inclusion_relation(X0)) ),
inference(resolution,[status(thm)],[f76,f102]) ).
fof(f199,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ in(ordered_pair(X0,X2),inclusion_relation(X1))
| ~ in(X2,X1)
| ~ in(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f191,f102]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ subset(X0,X2)
| in(ordered_pair(X0,X2),inclusion_relation(X1))
| ~ in(X2,X1)
| ~ in(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f192,f102]) ).
fof(f230,plain,
! [X0] :
( ~ is_transitive_in(inclusion_relation(X0),X0)
| transitive(inclusion_relation(X0)) ),
inference(backward_demodulation,[status(thm)],[f231,f197]) ).
fof(f231,plain,
! [X0] : relation_field(inclusion_relation(X0)) = X0,
inference(forward_subsumption_resolution,[status(thm)],[f190,f102]) ).
fof(f287,plain,
! [X0] :
( transitive(inclusion_relation(X0))
| in(sK2_skl(X0,inclusion_relation(X0)),X0)
| ~ relation(inclusion_relation(X0)) ),
inference(resolution,[status(thm)],[f96,f230]) ).
fof(f288,plain,
! [X0] :
( transitive(inclusion_relation(X0))
| in(sK2_skl(X0,inclusion_relation(X0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f287,f102]) ).
fof(f289,plain,
in(sK2_skl(sK15_skl,inclusion_relation(sK15_skl)),sK15_skl),
inference(resolution,[status(thm)],[f288,f175]) ).
fof(f298,plain,
! [X0] :
( transitive(inclusion_relation(X0))
| in(sK4_skl(X0,inclusion_relation(X0)),X0)
| ~ relation(inclusion_relation(X0)) ),
inference(resolution,[status(thm)],[f97,f230]) ).
fof(f299,plain,
! [X0] :
( transitive(inclusion_relation(X0))
| in(sK4_skl(X0,inclusion_relation(X0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f298,f102]) ).
fof(f300,plain,
in(sK4_skl(sK15_skl,inclusion_relation(sK15_skl)),sK15_skl),
inference(resolution,[status(thm)],[f299,f175]) ).
fof(f312,plain,
! [X0] :
( transitive(inclusion_relation(X0))
| in(sK3_skl(X0,inclusion_relation(X0)),X0)
| ~ relation(inclusion_relation(X0)) ),
inference(resolution,[status(thm)],[f98,f230]) ).
fof(f313,plain,
! [X0] :
( transitive(inclusion_relation(X0))
| in(sK3_skl(X0,inclusion_relation(X0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f312,f102]) ).
fof(f314,plain,
! [X0] :
( transitive(inclusion_relation(X0))
| in(ordered_pair(sK2_skl(X0,inclusion_relation(X0)),sK4_skl(X0,inclusion_relation(X0))),inclusion_relation(X0))
| ~ relation(inclusion_relation(X0)) ),
inference(resolution,[status(thm)],[f99,f230]) ).
fof(f315,plain,
! [X0] :
( transitive(inclusion_relation(X0))
| in(ordered_pair(sK2_skl(X0,inclusion_relation(X0)),sK4_skl(X0,inclusion_relation(X0))),inclusion_relation(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f314,f102]) ).
fof(f316,plain,
! [X0] :
( transitive(inclusion_relation(X0))
| in(ordered_pair(sK4_skl(X0,inclusion_relation(X0)),sK3_skl(X0,inclusion_relation(X0))),inclusion_relation(X0))
| ~ relation(inclusion_relation(X0)) ),
inference(resolution,[status(thm)],[f100,f230]) ).
fof(f317,plain,
! [X0] :
( transitive(inclusion_relation(X0))
| in(ordered_pair(sK4_skl(X0,inclusion_relation(X0)),sK3_skl(X0,inclusion_relation(X0))),inclusion_relation(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f316,f102]) ).
fof(f322,plain,
in(sK3_skl(sK15_skl,inclusion_relation(sK15_skl)),sK15_skl),
inference(resolution,[status(thm)],[f313,f175]) ).
fof(f325,plain,
! [X0] :
( ~ subset(X0,sK3_skl(sK15_skl,inclusion_relation(sK15_skl)))
| in(ordered_pair(X0,sK3_skl(sK15_skl,inclusion_relation(sK15_skl))),inclusion_relation(sK15_skl))
| ~ in(X0,sK15_skl) ),
inference(resolution,[status(thm)],[f322,f200]) ).
fof(f362,plain,
in(ordered_pair(sK2_skl(sK15_skl,inclusion_relation(sK15_skl)),sK4_skl(sK15_skl,inclusion_relation(sK15_skl))),inclusion_relation(sK15_skl)),
inference(resolution,[status(thm)],[f315,f175]) ).
fof(f364,plain,
in(ordered_pair(sK4_skl(sK15_skl,inclusion_relation(sK15_skl)),sK3_skl(sK15_skl,inclusion_relation(sK15_skl))),inclusion_relation(sK15_skl)),
inference(resolution,[status(thm)],[f317,f175]) ).
fof(f381,plain,
( subset(sK2_skl(sK15_skl,inclusion_relation(sK15_skl)),sK4_skl(sK15_skl,inclusion_relation(sK15_skl)))
| ~ in(sK4_skl(sK15_skl,inclusion_relation(sK15_skl)),sK15_skl)
| ~ in(sK2_skl(sK15_skl,inclusion_relation(sK15_skl)),sK15_skl) ),
inference(resolution,[status(thm)],[f362,f199]) ).
fof(f385,plain,
( subset(sK2_skl(sK15_skl,inclusion_relation(sK15_skl)),sK4_skl(sK15_skl,inclusion_relation(sK15_skl)))
| ~ in(sK4_skl(sK15_skl,inclusion_relation(sK15_skl)),sK15_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f289]) ).
fof(f451,plain,
( subset(sK4_skl(sK15_skl,inclusion_relation(sK15_skl)),sK3_skl(sK15_skl,inclusion_relation(sK15_skl)))
| ~ in(sK3_skl(sK15_skl,inclusion_relation(sK15_skl)),sK15_skl)
| ~ in(sK4_skl(sK15_skl,inclusion_relation(sK15_skl)),sK15_skl) ),
inference(resolution,[status(thm)],[f364,f199]) ).
fof(f455,plain,
( subset(sK4_skl(sK15_skl,inclusion_relation(sK15_skl)),sK3_skl(sK15_skl,inclusion_relation(sK15_skl)))
| ~ in(sK3_skl(sK15_skl,inclusion_relation(sK15_skl)),sK15_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f451,f300]) ).
fof(f457,plain,
subset(sK2_skl(sK15_skl,inclusion_relation(sK15_skl)),sK4_skl(sK15_skl,inclusion_relation(sK15_skl))),
inference(forward_subsumption_resolution,[status(thm)],[f385,f300]) ).
fof(f568,plain,
subset(sK4_skl(sK15_skl,inclusion_relation(sK15_skl)),sK3_skl(sK15_skl,inclusion_relation(sK15_skl))),
inference(forward_subsumption_resolution,[status(thm)],[f455,f322]) ).
fof(f570,plain,
! [X0] :
( subset(X0,sK3_skl(sK15_skl,inclusion_relation(sK15_skl)))
| ~ subset(X0,sK4_skl(sK15_skl,inclusion_relation(sK15_skl))) ),
inference(resolution,[status(thm)],[f568,f166]) ).
fof(f571,plain,
subset(sK2_skl(sK15_skl,inclusion_relation(sK15_skl)),sK3_skl(sK15_skl,inclusion_relation(sK15_skl))),
inference(resolution,[status(thm)],[f570,f457]) ).
fof(f635,plain,
( in(ordered_pair(sK2_skl(sK15_skl,inclusion_relation(sK15_skl)),sK3_skl(sK15_skl,inclusion_relation(sK15_skl))),inclusion_relation(sK15_skl))
| ~ in(sK2_skl(sK15_skl,inclusion_relation(sK15_skl)),sK15_skl) ),
inference(resolution,[status(thm)],[f571,f325]) ).
fof(f637,plain,
in(ordered_pair(sK2_skl(sK15_skl,inclusion_relation(sK15_skl)),sK3_skl(sK15_skl,inclusion_relation(sK15_skl))),inclusion_relation(sK15_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f635,f289]) ).
fof(f712,plain,
( is_transitive_in(inclusion_relation(sK15_skl),sK15_skl)
| ~ relation(inclusion_relation(sK15_skl)) ),
inference(resolution,[status(thm)],[f637,f101]) ).
fof(f717,plain,
is_transitive_in(inclusion_relation(sK15_skl),sK15_skl),
inference(forward_subsumption_resolution,[status(thm)],[f712,f102]) ).
fof(f722,plain,
transitive(inclusion_relation(sK15_skl)),
inference(resolution,[status(thm)],[f717,f230]) ).
fof(f723,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f722,f175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU269+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 06:05:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.45 % Elapsed time: 0.084881 seconds
% 0.13/0.45 % CPU time: 0.342932 seconds
% 0.13/0.45 % Total memory used: 108.808 MB
% 0.13/0.45 % Net memory used: 108.446 MB
%------------------------------------------------------------------------------