%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL654+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 01:08:23 PM UTC 2026
% Result : Theorem 0.18s 0.44s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 60 ( 11 unt; 7 def)
% Number of atoms : 379 ( 0 equ)
% Maximal formula atoms : 29 ( 6 avg)
% Number of connectives : 605 ( 286 ~; 255 |; 57 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 198 ( 169 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : r1(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ~ ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ! [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ! [X] :
( $false
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ ! [X] :
( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ! [Y] :
( ~ ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& ~ ! [Y] :
( ~ ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( p1(Y)
& ~ ! [X] :
( ~ ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ ~ ? [X] :
~ ( ! [Y] :
( ~ ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ! [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ! [X] :
( $false
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ ! [X] :
( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ! [Y] :
( ~ ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& ~ ! [Y] :
( ~ ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( p1(Y)
& ~ ! [X] :
( ~ ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
? [X] :
( ? [Y] :
( ! [X] :
( p1(X)
| ~ r1(Y,X) )
& ? [X] :
( ? [Y] :
( ~ p1(Y)
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& ! [Y] :
( ? [X] :
( $true
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ? [Y] :
( ~ p1(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ! [X] :
( ? [Y] :
( ! [X] :
( p1(X)
| ~ r1(Y,X) )
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ? [X] :
( ~ p1(X)
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ~ p1(Y)
| ! [X] :
( ? [Y] :
( p1(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f6,plain,
? [X] :
( ? [Y] :
( ! [X] :
( p1(X)
| ~ r1(Y,X) )
& ? [X] :
( ? [Y] :
( ~ p1(Y)
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& ! [Y] :
( ( $true
& ? [X] : r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ? [Y] :
( ~ p1(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ! [X] :
( ? [Y] :
( ! [X] :
( p1(X)
| ~ r1(Y,X) )
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ? [X] :
( ~ p1(X)
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ~ p1(Y)
| ! [X] :
( ? [Y] :
( p1(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f7,plain,
( ! [X] :
( p1(X)
| ~ r1(sK6_skl,X) )
& ~ p1(sK8_skl)
& r1(sK7_skl,sK8_skl)
& r1(sK6_skl,sK7_skl)
& r1(sK0_skl,sK6_skl)
& ! [Y] :
( ( $true
& r1(Y,sK5_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ( ~ p1(sK4_skl(X,Y))
& r1(X,sK4_skl(X,Y)) )
| ~ r1(Y,X) )
| ! [X] :
( ( ! [X] :
( p1(X)
| ~ r1(sK3_skl(X,Y),X) )
& r1(X,sK3_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ( ~ p1(sK2_skl(Y,X,Y))
& r1(Y,sK2_skl(Y,X,Y)) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ~ p1(Y)
| ! [X] :
( ( p1(sK1_skl(X,Y))
& r1(X,sK1_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl(X,Y)),skolemize(X,sK2_skl(Y,X,Y)),skolemize(Y,sK3_skl(X,Y)),skolemize(Y,sK4_skl(X,Y)),skolemize(X,sK5_skl(Y)),skolemize(Y,sK6_skl),skolemize(X,sK7_skl),skolemize(Y,sK8_skl)],[f6]) ).
fof(f8,plain,
? [X] :
( ? [Y] :
( ! [X] :
( p1(X)
| ~ r1(sK6_skl,X) )
& ? [X] :
( ? [Y] :
( ~ p1(sK8_skl)
& r1(sK7_skl,sK8_skl) )
& r1(sK6_skl,sK7_skl) )
& r1(sK0_skl,sK6_skl) )
& ! [Y] :
( ? [X] : r1(Y,sK5_skl(Y))
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ? [Y] :
( ~ p1(sK4_skl(X,Y))
& r1(X,sK4_skl(X,Y)) )
| ~ r1(Y,X) )
| ! [X] :
( ? [Y] :
( ! [X] :
( p1(X)
| ~ r1(sK3_skl(X,Y),X) )
& r1(X,sK3_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ? [X] :
( ~ p1(sK2_skl(Y,X,Y))
& r1(Y,sK2_skl(Y,X,Y)) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ~ p1(Y)
| ! [X] :
( ? [Y] :
( p1(sK1_skl(X,Y))
& r1(X,sK1_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) ),
inference(true_and_false_simplification,[status(thm)],[f7]) ).
fof(f11,plain,
! [X0,X1,X2,X3] :
( p1(X3)
| ~ r1(X1,X3)
| r1(X2,sK2_skl(X2,X1,X0))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f12,plain,
! [X0,X1,X2,X3] :
( p1(X3)
| ~ r1(X1,X3)
| ~ p1(sK2_skl(X2,X1,X0))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f13,plain,
! [X0,X1,X2] :
( r1(X2,sK4_skl(X2,X0))
| ~ r1(X0,X2)
| r1(X1,sK3_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ~ p1(sK4_skl(X2,X0))
| ~ r1(X0,X2)
| r1(X1,sK3_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f15,plain,
! [X0,X1,X2,X3] :
( r1(X3,sK4_skl(X3,X0))
| ~ r1(X0,X3)
| p1(X2)
| ~ r1(sK3_skl(X1,X0),X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f16,plain,
! [X0,X1,X2,X3] :
( ~ p1(sK4_skl(X3,X0))
| ~ r1(X0,X3)
| p1(X2)
| ~ r1(sK3_skl(X1,X0),X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f18,plain,
r1(sK0_skl,sK6_skl),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f19,plain,
r1(sK6_skl,sK7_skl),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f20,plain,
r1(sK7_skl,sK8_skl),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f21,plain,
~ p1(sK8_skl),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f22,plain,
! [X0] :
( p1(X0)
| ~ r1(sK6_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f34,definition,
( sQ2_spl
<=> r1(sK0_skl,sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f36,plain,
( sQ2_spl
| ~ r1(sK0_skl,sK6_skl) ),
inference(component_clause,[status(thm)],[f34]) ).
fof(f41,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f36,f18]) ).
fof(f42,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f41]) ).
fof(f59,definition,
( sQ7_spl
<=> r1(sK6_skl,sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f61,plain,
( sQ7_spl
| ~ r1(sK6_skl,sK6_skl) ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f66,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f61,f4]) ).
fof(f67,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f66]) ).
fof(f106,plain,
! [X0,X1] :
( p1(sK4_skl(sK6_skl,X0))
| ~ r1(X0,sK6_skl)
| r1(X1,sK3_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f13,f22]) ).
fof(f107,plain,
! [X0,X1] :
( ~ r1(X0,sK6_skl)
| r1(X1,sK3_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f106,f14]) ).
fof(f108,plain,
! [X0,X1,X2] :
( p1(sK4_skl(sK6_skl,X0))
| ~ r1(X0,sK6_skl)
| p1(X2)
| ~ r1(sK3_skl(X1,X0),X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f15,f22]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ~ r1(X0,sK6_skl)
| p1(X2)
| ~ r1(sK3_skl(X1,X0),X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f108,f16]) ).
fof(f119,plain,
! [X0,X1] :
( p1(X1)
| ~ r1(sK3_skl(X0,sK6_skl),X1)
| ~ r1(sK6_skl,X0)
| ~ r1(sK0_skl,sK6_skl) ),
inference(resolution,[status(thm)],[f117,f4]) ).
fof(f127,definition,
! [X0,X1] :
( sQ17_spl
<=> ( p1(X1)
| ~ r1(sK3_skl(X0,sK6_skl),X1)
| ~ r1(sK6_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f128,plain,
! [X0,X1] :
( ~ sQ17_spl
| p1(X1)
| ~ r1(sK3_skl(X0,sK6_skl),X1)
| ~ r1(sK6_skl,X0) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,plain,
( sQ17_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f119,f34,f127]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ17_spl
| p1(X4)
| ~ r1(X2,X4)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(sK0_skl,X3)
| ~ r1(sK3_skl(X0,sK6_skl),sK2_skl(X1,X2,X3))
| ~ r1(sK6_skl,X0) ),
inference(resolution,[status(thm)],[f128,f12]) ).
fof(f141,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ17_spl
| p1(X4)
| ~ r1(X2,X4)
| ~ r1(X2,sK3_skl(X0,sK6_skl))
| ~ r1(X1,X2)
| ~ r1(sK0_skl,X1)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(X2,sK3_skl(X0,sK6_skl))
| ~ r1(X1,X2)
| ~ r1(sK0_skl,X1)
| ~ r1(sK6_skl,X0) ),
inference(resolution,[status(thm)],[f133,f11]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ17_spl
| p1(X4)
| ~ r1(X2,X4)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(X2,sK3_skl(X0,sK6_skl))
| ~ r1(X1,X2)
| ~ r1(sK0_skl,X1)
| ~ r1(sK6_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f141]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ~ sQ17_spl
| ~ r1(sK6_skl,sK6_skl)
| ~ r1(sK6_skl,X0)
| ~ r1(sK0_skl,sK6_skl)
| p1(X3)
| ~ r1(X0,X3)
| p1(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK6_skl,X0) ),
inference(resolution,[status(thm)],[f142,f107]) ).
fof(f146,definition,
! [X0,X1,X2,X3] :
( sQ18_spl
<=> ( ~ r1(sK6_skl,X0)
| p1(X3)
| ~ r1(X0,X3)
| p1(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK6_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( ~ sQ18_spl
| ~ r1(sK6_skl,X0)
| p1(X3)
| ~ r1(X0,X3)
| p1(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK6_skl,X0) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f153,plain,
( ~ sQ17_spl
| ~ sQ7_spl
| ~ sQ2_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f144,f146,f34,f59,f127]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ~ sQ18_spl
| p1(X3)
| ~ r1(X0,X3)
| p1(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK6_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f147]) ).
fof(f162,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| ~ r1(X0,sK8_skl)
| p1(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK6_skl,X0) ),
inference(resolution,[status(thm)],[f154,f21]) ).
fof(f163,plain,
! [X0,X1] :
( ~ sQ18_spl
| p1(X1)
| ~ r1(sK7_skl,X1)
| ~ r1(X0,sK7_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK6_skl,sK7_skl) ),
inference(resolution,[status(thm)],[f162,f20]) ).
fof(f165,definition,
( sQ20_spl
<=> r1(sK6_skl,sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( sQ20_spl
| ~ r1(sK6_skl,sK7_skl) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,definition,
! [X0] :
( sQ21_spl
<=> ( ~ r1(X0,sK7_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f169,plain,
! [X0] :
( ~ sQ21_spl
| ~ r1(X0,sK7_skl)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,definition,
! [X1] :
( sQ22_spl
<=> ( p1(X1)
| ~ r1(sK7_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f172,plain,
! [X0] :
( ~ sQ22_spl
| p1(X0)
| ~ r1(sK7_skl,X0) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,plain,
( ~ sQ18_spl
| sQ22_spl
| sQ21_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f163,f165,f168,f171,f146]) ).
fof(f194,plain,
( ~ sQ22_spl
| ~ r1(sK7_skl,sK8_skl) ),
inference(resolution,[status(thm)],[f172,f21]) ).
fof(f195,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f194,f20]) ).
fof(f196,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f195]) ).
fof(f197,plain,
( sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f167,f19]) ).
fof(f198,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f197]) ).
fof(f199,plain,
( ~ sQ21_spl
| ~ r1(sK0_skl,sK6_skl) ),
inference(resolution,[status(thm)],[f169,f19]) ).
fof(f201,plain,
( ~ sQ21_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f199,f34,f168]) ).
fof(f202,plain,
$false,
inference(sat_refutation,[status(thm)],[f42,f67,f130,f153,f174,f196,f198,f201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL654+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.40 % Computer : n001.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Mon Sep 21 00:52:30 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.42 % Drodi V4.1.1
% 0.18/0.44 % Refutation found
% 0.18/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.50 % Elapsed time: 0.087553 seconds
% 0.18/0.50 % CPU time: 0.192909 seconds
% 0.18/0.50 % Total memory used: 7.309 MB
% 0.18/0.50 % Net memory used: 7.039 MB
%------------------------------------------------------------------------------