%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL674+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 01:08:31 PM UTC 2026
% Result : Theorem 0.24s 0.55s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 52 ( 8 unt; 7 def)
% Number of atoms : 606 ( 0 equ)
% Maximal formula atoms : 121 ( 11 avg)
% Number of connectives : 973 ( 419 ~; 317 |; 229 &)
% ( 7 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 8 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-1 aty)
% Number of variables : 112 ( 99 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : r1(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] :
( ( r1(Y,Z)
& r1(X,Y) )
=> r1(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,conjecture,
~ ? [X] :
~ ( ~ ( p100(X)
& ~ p101(X)
& ! [Y] :
( ( ( ~ p101(Y)
| p100(Y) )
& ( ~ p102(Y)
| p101(Y) )
& ( ~ p103(Y)
| p102(Y) )
& ( ~ p104(Y)
| p103(Y) )
& ( ~ p105(Y)
| p104(Y) )
& ( ~ p106(Y)
| p105(Y) )
& ( ~ p100(Y)
| ( ( ~ p1(Y)
| ! [X] :
( ~ p100(X)
| p1(X)
| ~ r1(Y,X) ) )
& ( p1(Y)
| ! [X] :
( ~ p100(X)
| ~ p1(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p101(Y)
| ( ( ~ p2(Y)
| ! [X] :
( ~ p101(X)
| p2(X)
| ~ r1(Y,X) ) )
& ( p2(Y)
| ! [X] :
( ~ p101(X)
| ~ p2(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p102(Y)
| ( ( ~ p3(Y)
| ! [X] :
( ~ p102(X)
| p3(X)
| ~ r1(Y,X) ) )
& ( p3(Y)
| ! [X] :
( ~ p102(X)
| ~ p3(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p103(Y)
| ( ( ~ p4(Y)
| ! [X] :
( ~ p103(X)
| p4(X)
| ~ r1(Y,X) ) )
& ( p4(Y)
| ! [X] :
( ~ p103(X)
| ~ p4(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p104(Y)
| ( ( ~ p5(Y)
| ! [X] :
( ~ p104(X)
| p5(X)
| ~ r1(Y,X) ) )
& ( p5(Y)
| ! [X] :
( ~ p104(X)
| ~ p5(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p105(Y)
| ( ( ~ p6(Y)
| ! [X] :
( ~ p105(X)
| p6(X)
| ~ r1(Y,X) ) )
& ( p6(Y)
| ! [X] :
( ~ p105(X)
| ~ p6(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ ( p100(Y)
& ~ p101(Y) )
| ( ~ ! [X] :
( ~ ( p101(X)
& ~ p102(X)
& p2(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p101(X)
& ~ p102(X)
& ~ p2(X) )
| ~ r1(Y,X) ) ) )
& ( ~ ( p101(Y)
& ~ p102(Y) )
| ( ~ ! [X] :
( ~ ( p102(X)
& ~ p103(X)
& p3(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p102(X)
& ~ p103(X)
& ~ p3(X) )
| ~ r1(Y,X) ) ) )
& ( ~ ( p102(Y)
& ~ p103(Y) )
| ( ~ ! [X] :
( ~ ( p103(X)
& ~ p104(X)
& p4(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p103(X)
& ~ p104(X)
& ~ p4(X) )
| ~ r1(Y,X) ) ) )
& ( ~ ( p103(Y)
& ~ p104(Y) )
| ( ~ ! [X] :
( ~ ( p104(X)
& ~ p105(X)
& p5(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p104(X)
& ~ p105(X)
& ~ p5(X) )
| ~ r1(Y,X) ) ) )
& ( ~ ( p104(Y)
& ~ p105(Y) )
| ( ~ ! [X] :
( ~ ( p105(X)
& ~ p106(X)
& p6(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p105(X)
& ~ p106(X)
& ~ p6(X) )
| ~ r1(Y,X) ) ) ) )
| ~ r1(X,Y) ) )
| ~ ! [Y] :
( p3(Y)
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ ~ ? [X] :
~ ( ~ ( p100(X)
& ~ p101(X)
& ! [Y] :
( ( ( ~ p101(Y)
| p100(Y) )
& ( ~ p102(Y)
| p101(Y) )
& ( ~ p103(Y)
| p102(Y) )
& ( ~ p104(Y)
| p103(Y) )
& ( ~ p105(Y)
| p104(Y) )
& ( ~ p106(Y)
| p105(Y) )
& ( ~ p100(Y)
| ( ( ~ p1(Y)
| ! [X] :
( ~ p100(X)
| p1(X)
| ~ r1(Y,X) ) )
& ( p1(Y)
| ! [X] :
( ~ p100(X)
| ~ p1(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p101(Y)
| ( ( ~ p2(Y)
| ! [X] :
( ~ p101(X)
| p2(X)
| ~ r1(Y,X) ) )
& ( p2(Y)
| ! [X] :
( ~ p101(X)
| ~ p2(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p102(Y)
| ( ( ~ p3(Y)
| ! [X] :
( ~ p102(X)
| p3(X)
| ~ r1(Y,X) ) )
& ( p3(Y)
| ! [X] :
( ~ p102(X)
| ~ p3(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p103(Y)
| ( ( ~ p4(Y)
| ! [X] :
( ~ p103(X)
| p4(X)
| ~ r1(Y,X) ) )
& ( p4(Y)
| ! [X] :
( ~ p103(X)
| ~ p4(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p104(Y)
| ( ( ~ p5(Y)
| ! [X] :
( ~ p104(X)
| p5(X)
| ~ r1(Y,X) ) )
& ( p5(Y)
| ! [X] :
( ~ p104(X)
| ~ p5(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p105(Y)
| ( ( ~ p6(Y)
| ! [X] :
( ~ p105(X)
| p6(X)
| ~ r1(Y,X) ) )
& ( p6(Y)
| ! [X] :
( ~ p105(X)
| ~ p6(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ ( p100(Y)
& ~ p101(Y) )
| ( ~ ! [X] :
( ~ ( p101(X)
& ~ p102(X)
& p2(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p101(X)
& ~ p102(X)
& ~ p2(X) )
| ~ r1(Y,X) ) ) )
& ( ~ ( p101(Y)
& ~ p102(Y) )
| ( ~ ! [X] :
( ~ ( p102(X)
& ~ p103(X)
& p3(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p102(X)
& ~ p103(X)
& ~ p3(X) )
| ~ r1(Y,X) ) ) )
& ( ~ ( p102(Y)
& ~ p103(Y) )
| ( ~ ! [X] :
( ~ ( p103(X)
& ~ p104(X)
& p4(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p103(X)
& ~ p104(X)
& ~ p4(X) )
| ~ r1(Y,X) ) ) )
& ( ~ ( p103(Y)
& ~ p104(Y) )
| ( ~ ! [X] :
( ~ ( p104(X)
& ~ p105(X)
& p5(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p104(X)
& ~ p105(X)
& ~ p5(X) )
| ~ r1(Y,X) ) ) )
& ( ~ ( p104(Y)
& ~ p105(Y) )
| ( ~ ! [X] :
( ~ ( p105(X)
& ~ p106(X)
& p6(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p105(X)
& ~ p106(X)
& ~ p6(X) )
| ~ r1(Y,X) ) ) ) )
| ~ r1(X,Y) ) )
| ~ ! [Y] :
( p3(Y)
| ~ r1(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f6,plain,
! [X,Y,Z] :
( r1(X,Z)
| ~ r1(Y,Z)
| ~ r1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f7,plain,
! [X,Z] :
( r1(X,Z)
| ! [Y] :
( ~ r1(Y,Z)
| ~ r1(X,Y) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f8,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
? [X] :
( p100(X)
& ~ p101(X)
& ! [Y] :
( ( ( ~ p101(Y)
| p100(Y) )
& ( ~ p102(Y)
| p101(Y) )
& ( ~ p103(Y)
| p102(Y) )
& ( ~ p104(Y)
| p103(Y) )
& ( ~ p105(Y)
| p104(Y) )
& ( ~ p106(Y)
| p105(Y) )
& ( ~ p100(Y)
| ( ( ~ p1(Y)
| ! [X] :
( ~ p100(X)
| p1(X)
| ~ r1(Y,X) ) )
& ( p1(Y)
| ! [X] :
( ~ p100(X)
| ~ p1(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p101(Y)
| ( ( ~ p2(Y)
| ! [X] :
( ~ p101(X)
| p2(X)
| ~ r1(Y,X) ) )
& ( p2(Y)
| ! [X] :
( ~ p101(X)
| ~ p2(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p102(Y)
| ( ( ~ p3(Y)
| ! [X] :
( ~ p102(X)
| p3(X)
| ~ r1(Y,X) ) )
& ( p3(Y)
| ! [X] :
( ~ p102(X)
| ~ p3(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p103(Y)
| ( ( ~ p4(Y)
| ! [X] :
( ~ p103(X)
| p4(X)
| ~ r1(Y,X) ) )
& ( p4(Y)
| ! [X] :
( ~ p103(X)
| ~ p4(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p104(Y)
| ( ( ~ p5(Y)
| ! [X] :
( ~ p104(X)
| p5(X)
| ~ r1(Y,X) ) )
& ( p5(Y)
| ! [X] :
( ~ p104(X)
| ~ p5(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p105(Y)
| ( ( ~ p6(Y)
| ! [X] :
( ~ p105(X)
| p6(X)
| ~ r1(Y,X) ) )
& ( p6(Y)
| ! [X] :
( ~ p105(X)
| ~ p6(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p100(Y)
| p101(Y)
| ( ? [X] :
( p101(X)
& ~ p102(X)
& p2(X)
& r1(Y,X) )
& ? [X] :
( p101(X)
& ~ p102(X)
& ~ p2(X)
& r1(Y,X) ) ) )
& ( ~ p101(Y)
| p102(Y)
| ( ? [X] :
( p102(X)
& ~ p103(X)
& p3(X)
& r1(Y,X) )
& ? [X] :
( p102(X)
& ~ p103(X)
& ~ p3(X)
& r1(Y,X) ) ) )
& ( ~ p102(Y)
| p103(Y)
| ( ? [X] :
( p103(X)
& ~ p104(X)
& p4(X)
& r1(Y,X) )
& ? [X] :
( p103(X)
& ~ p104(X)
& ~ p4(X)
& r1(Y,X) ) ) )
& ( ~ p103(Y)
| p104(Y)
| ( ? [X] :
( p104(X)
& ~ p105(X)
& p5(X)
& r1(Y,X) )
& ? [X] :
( p104(X)
& ~ p105(X)
& ~ p5(X)
& r1(Y,X) ) ) )
& ( ~ p104(Y)
| p105(Y)
| ( ? [X] :
( p105(X)
& ~ p106(X)
& p6(X)
& r1(Y,X) )
& ? [X] :
( p105(X)
& ~ p106(X)
& ~ p6(X)
& r1(Y,X) ) ) ) )
| ~ r1(X,Y) )
& ! [Y] :
( p3(Y)
| ~ r1(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
( p100(sK0_skl)
& ~ p101(sK0_skl)
& ! [Y] :
( ( ( ~ p101(Y)
| p100(Y) )
& ( ~ p102(Y)
| p101(Y) )
& ( ~ p103(Y)
| p102(Y) )
& ( ~ p104(Y)
| p103(Y) )
& ( ~ p105(Y)
| p104(Y) )
& ( ~ p106(Y)
| p105(Y) )
& ( ~ p100(Y)
| ( ( ~ p1(Y)
| ! [X] :
( ~ p100(X)
| p1(X)
| ~ r1(Y,X) ) )
& ( p1(Y)
| ! [X] :
( ~ p100(X)
| ~ p1(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p101(Y)
| ( ( ~ p2(Y)
| ! [X] :
( ~ p101(X)
| p2(X)
| ~ r1(Y,X) ) )
& ( p2(Y)
| ! [X] :
( ~ p101(X)
| ~ p2(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p102(Y)
| ( ( ~ p3(Y)
| ! [X] :
( ~ p102(X)
| p3(X)
| ~ r1(Y,X) ) )
& ( p3(Y)
| ! [X] :
( ~ p102(X)
| ~ p3(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p103(Y)
| ( ( ~ p4(Y)
| ! [X] :
( ~ p103(X)
| p4(X)
| ~ r1(Y,X) ) )
& ( p4(Y)
| ! [X] :
( ~ p103(X)
| ~ p4(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p104(Y)
| ( ( ~ p5(Y)
| ! [X] :
( ~ p104(X)
| p5(X)
| ~ r1(Y,X) ) )
& ( p5(Y)
| ! [X] :
( ~ p104(X)
| ~ p5(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p105(Y)
| ( ( ~ p6(Y)
| ! [X] :
( ~ p105(X)
| p6(X)
| ~ r1(Y,X) ) )
& ( p6(Y)
| ! [X] :
( ~ p105(X)
| ~ p6(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p100(Y)
| p101(Y)
| ( p101(sK10_skl(Y))
& ~ p102(sK10_skl(Y))
& p2(sK10_skl(Y))
& r1(Y,sK10_skl(Y))
& p101(sK9_skl(Y))
& ~ p102(sK9_skl(Y))
& ~ p2(sK9_skl(Y))
& r1(Y,sK9_skl(Y)) ) )
& ( ~ p101(Y)
| p102(Y)
| ( p102(sK8_skl(Y))
& ~ p103(sK8_skl(Y))
& p3(sK8_skl(Y))
& r1(Y,sK8_skl(Y))
& p102(sK7_skl(Y))
& ~ p103(sK7_skl(Y))
& ~ p3(sK7_skl(Y))
& r1(Y,sK7_skl(Y)) ) )
& ( ~ p102(Y)
| p103(Y)
| ( p103(sK6_skl(Y))
& ~ p104(sK6_skl(Y))
& p4(sK6_skl(Y))
& r1(Y,sK6_skl(Y))
& p103(sK5_skl(Y))
& ~ p104(sK5_skl(Y))
& ~ p4(sK5_skl(Y))
& r1(Y,sK5_skl(Y)) ) )
& ( ~ p103(Y)
| p104(Y)
| ( p104(sK4_skl(Y))
& ~ p105(sK4_skl(Y))
& p5(sK4_skl(Y))
& r1(Y,sK4_skl(Y))
& p104(sK3_skl(Y))
& ~ p105(sK3_skl(Y))
& ~ p5(sK3_skl(Y))
& r1(Y,sK3_skl(Y)) ) )
& ( ~ p104(Y)
| p105(Y)
| ( p105(sK2_skl(Y))
& ~ p106(sK2_skl(Y))
& p6(sK2_skl(Y))
& r1(Y,sK2_skl(Y))
& p105(sK1_skl(Y))
& ~ p106(sK1_skl(Y))
& ~ p6(sK1_skl(Y))
& r1(Y,sK1_skl(Y)) ) ) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p3(Y)
| ~ 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,sK9_skl,sK10_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl(Y)),skolemize(X,sK2_skl(Y)),skolemize(X,sK3_skl(Y)),skolemize(X,sK4_skl(Y)),skolemize(X,sK5_skl(Y)),skolemize(X,sK6_skl(Y)),skolemize(X,sK7_skl(Y)),skolemize(X,sK8_skl(Y)),skolemize(X,sK9_skl(Y)),skolemize(X,sK10_skl(Y))],[f9]) ).
fof(f11,plain,
! [X0] :
( p3(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f36,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| r1(X0,sK7_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f37,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ~ p3(sK7_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f44,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| r1(X0,sK9_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f46,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ~ p102(sK9_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f47,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| p101(sK9_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f70,plain,
~ p101(sK0_skl),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f71,plain,
p100(sK0_skl),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f75,plain,
! [X0,X1] :
( p3(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f8,f11]) ).
fof(f79,plain,
( p101(sK0_skl)
| r1(sK0_skl,sK9_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f44,f71]) ).
fof(f80,definition,
( sQ0_spl
<=> r1(sK0_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( sQ0_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,definition,
( sQ1_spl
<=> r1(sK0_skl,sK9_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f84,plain,
( ~ sQ1_spl
| r1(sK0_skl,sK9_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f86,definition,
( sQ2_spl
<=> p101(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f87,plain,
( ~ sQ2_spl
| p101(sK0_skl) ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f89,plain,
( sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f79,f80,f83,f86]) ).
fof(f90,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f87,f70]) ).
fof(f91,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f90]) ).
fof(f92,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f82,f5]) ).
fof(f93,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f92]) ).
fof(f94,plain,
! [X0] :
( ~ sQ1_spl
| p3(X0)
| ~ r1(sK9_skl(sK0_skl),X0) ),
inference(resolution,[status(thm)],[f84,f75]) ).
fof(f99,plain,
( p101(sK0_skl)
| p101(sK9_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f47,f71]) ).
fof(f100,definition,
( sQ3_spl
<=> p101(sK9_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f101,plain,
( ~ sQ3_spl
| p101(sK9_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,plain,
( sQ2_spl
| sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f99,f80,f100,f86]) ).
fof(f105,plain,
( ~ sQ3_spl
| p102(sK9_skl(sK0_skl))
| r1(sK9_skl(sK0_skl),sK7_skl(sK9_skl(sK0_skl)))
| ~ r1(sK0_skl,sK9_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f101,f36]) ).
fof(f112,definition,
( sQ5_spl
<=> p102(sK9_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f113,plain,
( ~ sQ5_spl
| p102(sK9_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f116,definition,
( sQ6_spl
<=> r1(sK9_skl(sK0_skl),sK7_skl(sK9_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f117,plain,
( ~ sQ6_spl
| r1(sK9_skl(sK0_skl),sK7_skl(sK9_skl(sK0_skl))) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,plain,
( ~ sQ3_spl
| sQ5_spl
| sQ6_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f105,f83,f116,f112,f100]) ).
fof(f132,plain,
( ~ sQ5_spl
| ~ p100(sK0_skl)
| p101(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f113,f46]) ).
fof(f138,definition,
( sQ10_spl
<=> p100(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( sQ10_spl
| ~ p100(sK0_skl) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f132,f80,f86,f138,f112]) ).
fof(f162,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f140,f71]) ).
fof(f163,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f162]) ).
fof(f257,plain,
( ~ sQ1_spl
| ~ sQ6_spl
| p3(sK7_skl(sK9_skl(sK0_skl))) ),
inference(resolution,[status(thm)],[f117,f94]) ).
fof(f344,plain,
( ~ sQ1_spl
| ~ sQ6_spl
| ~ p101(sK9_skl(sK0_skl))
| p102(sK9_skl(sK0_skl))
| ~ r1(sK0_skl,sK9_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f257,f37]) ).
fof(f345,plain,
( ~ sQ6_spl
| ~ sQ3_spl
| sQ5_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f344,f83,f112,f100,f116]) ).
fof(f346,plain,
$false,
inference(sat_refutation,[status(thm)],[f89,f91,f93,f103,f119,f141,f163,f345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL674+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % Computer : n017.cluster.edu
% 0.19/0.50 % Model : x86_64 x86_64
% 0.19/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.50 % Memory : 8046.5625MB
% 0.19/0.50 % OS : Linux 6.8.0-71-generic
% 0.19/0.50 % CPULimit : 300
% 0.19/0.50 % WCLimit : 300
% 0.19/0.50 % DateTime : Mon Sep 21 00:48:26 UTC 2026
% 0.19/0.51 % CPUTime :
% 0.24/0.53 % Drodi V4.1.1
% 0.24/0.55 % Refutation found
% 0.24/0.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.24/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.60 % Elapsed time: 0.077672 seconds
% 0.24/0.60 % CPU time: 0.118554 seconds
% 0.24/0.60 % Total memory used: 3.753 MB
% 0.24/0.60 % Net memory used: 3.676 MB
%------------------------------------------------------------------------------