%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL668+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 : n009.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 01:08:28 PM UTC 2026
% Result : Theorem 0.11s 0.39s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 65 ( 10 unt; 6 def)
% Number of atoms : 653 ( 0 equ)
% Maximal formula atoms : 84 ( 10 avg)
% Number of connectives : 1111 ( 523 ~; 476 |; 106 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 7 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-4 aty)
% Number of variables : 361 ( 341 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : r1(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( p1(X)
& p2(X)
& p3(X)
& p4(X)
& p5(X)
& p6(X) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ ! [X] :
( ~ ( ~ ! [Y] :
( ~ ( ~ ! [X] :
( ~ ( ~ ! [Y] :
( ~ ~ ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p1(X)
& p2(X) )
| ( ~ p2(X)
& ~ p1(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p2(X)
& p3(X) )
| ( ~ p3(X)
& ~ p2(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ! [X] :
( p4(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p3(X)
& p4(X) )
| ( ~ p4(X)
& ~ p3(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ! [Y] :
( p5(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p4(X)
& p5(X) )
| ( ~ p5(X)
& ~ p4(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ! [X] :
( p6(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p5(X)
& p1(X) )
| ( ~ p1(X)
& ~ p5(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ! [Y] :
( p7(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ~ p2(X)
& ~ p4(X)
& ~ p6(X)
& ~ p8(X)
& ~ p10(X)
& ~ p12(X) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ ~ ? [X] :
~ ( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( p1(X)
& p2(X)
& p3(X)
& p4(X)
& p5(X)
& p6(X) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ ! [X] :
( ~ ( ~ ! [Y] :
( ~ ( ~ ! [X] :
( ~ ( ~ ! [Y] :
( ~ ~ ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p1(X)
& p2(X) )
| ( ~ p2(X)
& ~ p1(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p2(X)
& p3(X) )
| ( ~ p3(X)
& ~ p2(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ! [X] :
( p4(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p3(X)
& p4(X) )
| ( ~ p4(X)
& ~ p3(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ! [Y] :
( p5(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p4(X)
& p5(X) )
| ( ~ p5(X)
& ~ p4(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ! [X] :
( p6(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p5(X)
& p1(X) )
| ( ~ p1(X)
& ~ p5(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ! [Y] :
( p7(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ~ p2(X)
& ~ p4(X)
& ~ p6(X)
& ~ p8(X)
& ~ p10(X)
& ~ p12(X) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ 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] :
( ? [Y] :
( ? [X] :
( ? [Y] :
( ? [X] :
( ( ~ p1(X)
| ~ p2(X)
| ~ p3(X)
| ~ p4(X)
| ~ p5(X)
| ~ p6(X) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& ! [Y] :
( ( ! [X] :
( ( ! [Y] :
( ( ! [X] :
( ( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ( ~ p1(X)
| ~ p2(X) )
& ( p2(X)
| p1(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ( ~ p2(X)
| ~ p3(X) )
& ( p3(X)
| p2(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
& ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ( ~ p3(X)
| ~ p4(X) )
& ( p4(X)
| p3(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ( ~ p4(X)
| ~ p5(X) )
& ( p5(X)
| p4(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
& ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ( ~ p5(X)
| ~ p1(X) )
& ( p1(X)
| p5(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ~ p7(Y)
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( ? [Y] :
( ? [X] :
( ? [Y] :
( ? [X] :
( ( p2(X)
| p4(X)
| p6(X)
| p8(X)
| p10(X)
| p12(X) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f6,plain,
( ( ~ p1(sK17_skl)
| ~ p2(sK17_skl)
| ~ p3(sK17_skl)
| ~ p4(sK17_skl)
| ~ p5(sK17_skl)
| ~ p6(sK17_skl) )
& r1(sK16_skl,sK17_skl)
& r1(sK15_skl,sK16_skl)
& r1(sK14_skl,sK15_skl)
& r1(sK13_skl,sK14_skl)
& r1(sK12_skl,sK13_skl)
& r1(sK0_skl,sK12_skl)
& ! [Y] :
( ( ! [X] :
( ( ! [Y] :
( ( ! [X] :
( ( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ( ~ p1(X)
| ~ p2(X) )
& ( p2(X)
| p1(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ~ p3(sK11_skl(X,Y,X,Y))
& r1(X,sK11_skl(X,Y,X,Y))
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ( ~ p2(X)
| ~ p3(X) )
& ( p3(X)
| p2(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
& ~ p4(sK10_skl(Y,X,Y))
& r1(Y,sK10_skl(Y,X,Y))
& ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ( ~ p3(X)
| ~ p4(X) )
& ( p4(X)
| p3(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
& ~ p5(sK9_skl(X,Y))
& r1(X,sK9_skl(X,Y))
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ( ~ p4(X)
| ~ p5(X) )
& ( p5(X)
| p4(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
& ~ p6(sK8_skl(Y))
& r1(Y,sK8_skl(Y))
& ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ( ~ p5(X)
| ~ p1(X) )
& ( p1(X)
| p5(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(sK0_skl,Y) )
& ~ p7(sK7_skl)
& r1(sK0_skl,sK7_skl)
& ( p2(sK6_skl)
| p4(sK6_skl)
| p6(sK6_skl)
| p8(sK6_skl)
| p10(sK6_skl)
| p12(sK6_skl) )
& r1(sK5_skl,sK6_skl)
& r1(sK4_skl,sK5_skl)
& r1(sK3_skl,sK4_skl)
& r1(sK2_skl,sK3_skl)
& r1(sK1_skl,sK2_skl)
& r1(sK0_skl,sK1_skl) ),
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,sK11_skl,sK12_skl,sK13_skl,sK14_skl,sK15_skl,sK16_skl,sK17_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(X,sK2_skl),skolemize(Y,sK3_skl),skolemize(X,sK4_skl),skolemize(Y,sK5_skl),skolemize(X,sK6_skl),skolemize(Y,sK7_skl),skolemize(X,sK8_skl(Y)),skolemize(Y,sK9_skl(X,Y)),skolemize(X,sK10_skl(Y,X,Y)),skolemize(Y,sK11_skl(X,Y,X,Y)),skolemize(Y,sK12_skl),skolemize(X,sK13_skl),skolemize(Y,sK14_skl),skolemize(X,sK15_skl),skolemize(Y,sK16_skl),skolemize(X,sK17_skl)],[f5]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( p1(X7)
| p5(X7)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ p5(X7)
| ~ p1(X7)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( p5(X7)
| p4(X7)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ p4(X7)
| ~ p5(X7)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f24,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( p4(X7)
| p3(X7)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f25,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ p3(X7)
| ~ p4(X7)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f28,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( p3(X7)
| p2(X7)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f29,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ p2(X7)
| ~ p3(X7)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f32,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( p2(X7)
| p1(X7)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f33,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ p1(X7)
| ~ p2(X7)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f34,plain,
r1(sK0_skl,sK12_skl),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f35,plain,
r1(sK12_skl,sK13_skl),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f36,plain,
r1(sK13_skl,sK14_skl),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f37,plain,
r1(sK14_skl,sK15_skl),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f38,plain,
r1(sK15_skl,sK16_skl),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f39,plain,
r1(sK16_skl,sK17_skl),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f63,definition,
( sQ7_spl
<=> p5(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f64,plain,
( ~ sQ7_spl
| p5(sK17_skl) ),
inference(component_clause,[status(thm)],[f63]) ).
fof(f66,definition,
( sQ8_spl
<=> p4(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f68,plain,
( sQ8_spl
| ~ p4(sK17_skl) ),
inference(component_clause,[status(thm)],[f66]) ).
fof(f69,definition,
( sQ9_spl
<=> p3(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f70,plain,
( ~ sQ9_spl
| p3(sK17_skl) ),
inference(component_clause,[status(thm)],[f69]) ).
fof(f72,definition,
( sQ10_spl
<=> p2(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f74,plain,
( sQ10_spl
| ~ p2(sK17_skl) ),
inference(component_clause,[status(thm)],[f72]) ).
fof(f75,definition,
( sQ11_spl
<=> p1(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f76,plain,
( ~ sQ11_spl
| p1(sK17_skl) ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f77,plain,
( sQ11_spl
| ~ p1(sK17_skl) ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f79,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ11_spl
| p5(sK17_skl)
| ~ r1(X6,sK17_skl)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f16,f77]) ).
fof(f80,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ12_spl
<=> ( ~ r1(X6,sK17_skl)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f81,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ12_spl
| ~ r1(X6,sK17_skl)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,plain,
( sQ11_spl
| sQ7_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f79,f80,f63,f75]) ).
fof(f85,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ8_spl
| p5(sK17_skl)
| ~ r1(X6,sK17_skl)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f20,f68]) ).
fof(f86,plain,
( sQ8_spl
| sQ7_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f85,f80,f63,f66]) ).
fof(f87,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ12_spl
| ~ r1(X5,sK16_skl)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f81,f39]) ).
fof(f89,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ12_spl
| ~ r1(X4,sK15_skl)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f87,f38]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( ~ sQ12_spl
| ~ r1(X3,sK14_skl)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f89,f37]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| ~ r1(X2,sK13_skl)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f91,f36]) ).
fof(f95,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ r1(X1,sK12_skl)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f93,f35]) ).
fof(f97,plain,
! [X0] :
( ~ sQ12_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f95,f34]) ).
fof(f99,plain,
( ~ sQ12_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f97,f4]) ).
fof(f100,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f99,f4]) ).
fof(f101,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ7_spl
| ~ p4(sK17_skl)
| ~ r1(X6,sK17_skl)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f64,f21]) ).
fof(f103,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ7_spl
| ~ p1(sK17_skl)
| ~ r1(X6,sK17_skl)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f64,f17]) ).
fof(f104,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f102,f80,f66,f63]) ).
fof(f105,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f103,f80,f75,f63]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ8_spl
| p3(sK17_skl)
| ~ r1(X6,sK17_skl)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f24,f68]) ).
fof(f110,plain,
( sQ8_spl
| sQ9_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f108,f80,f69,f66]) ).
fof(f113,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ9_spl
| ~ p4(sK17_skl)
| ~ r1(X6,sK17_skl)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f70,f25]) ).
fof(f114,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f113,f80,f66,f69]) ).
fof(f115,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ10_spl
| p3(sK17_skl)
| ~ r1(X6,sK17_skl)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f28,f74]) ).
fof(f116,plain,
( sQ10_spl
| sQ9_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f115,f80,f69,f72]) ).
fof(f117,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ9_spl
| ~ p2(sK17_skl)
| ~ r1(X6,sK17_skl)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f29,f70]) ).
fof(f118,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f117,f80,f72,f69]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ10_spl
| p1(sK17_skl)
| ~ r1(X6,sK17_skl)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f32,f74]) ).
fof(f122,plain,
( sQ10_spl
| sQ11_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f121,f80,f75,f72]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ11_spl
| ~ p2(sK17_skl)
| ~ r1(X6,sK17_skl)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f33,f76]) ).
fof(f125,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f123,f80,f72,f75]) ).
fof(f126,plain,
$false,
inference(sat_refutation,[status(thm)],[f83,f86,f101,f104,f105,f110,f114,f116,f118,f122,f125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL668+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 00:51:43 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.41 % Elapsed time: 0.049554 seconds
% 0.11/0.41 % CPU time: 0.165352 seconds
% 0.11/0.41 % Total memory used: 18.656 MB
% 0.11/0.41 % Net memory used: 18.370 MB
%------------------------------------------------------------------------------