%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL688+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 : n020.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 01:08:37 PM UTC 2026
% Result : Theorem 0.23s 1.00s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 4
% Syntax : Number of formulae : 50 ( 6 unt; 1 def)
% Number of atoms : 449 ( 0 equ)
% Maximal formula atoms : 44 ( 8 avg)
% Number of connectives : 781 ( 382 ~; 321 |; 76 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 254 ( 226 !; 28 ?)
% 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] :
~ ( ~ ! [Y] :
( ~ ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| ! [X] :
( ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ! [Y] :
( p2(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ( ! [Y] :
( ~ ! [X] :
( ~ ( p1(X)
& ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| p1(Y)
| ~ r1(X,Y) )
& ~ ! [Y] :
( ~ ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ~ p1(X) )
| ~ ! [Y] :
( ~ ( ~ ! [X] :
( ~ ( ~ ! [Y] :
( ~ ! [X] :
( ~ ! [Y] :
( ~ p2(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& p2(X)
& ~ ! [Y] :
( ~ ( ~ p2(Y)
| ! [X] :
( p3(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ! [Y] :
( ~ p2(Y)
| ! [X] :
( p3(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ p4(Y)
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,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] :
( ~ ! [Y] :
( p2(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ( ! [Y] :
( ~ ! [X] :
( ~ ( p1(X)
& ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| p1(Y)
| ~ r1(X,Y) )
& ~ ! [Y] :
( ~ ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ~ p1(X) )
| ~ ! [Y] :
( ~ ( ~ ! [X] :
( ~ ( ~ ! [Y] :
( ~ ! [X] :
( ~ ! [Y] :
( ~ p2(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& p2(X)
& ~ ! [Y] :
( ~ ( ~ p2(Y)
| ! [X] :
( p3(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ! [Y] :
( ~ p2(Y)
| ! [X] :
( p3(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ p4(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] :
( ! [Y] :
( ? [X] :
( p1(X)
& r1(Y,X) )
| ! [X] :
( ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ? [Y] :
( ~ p2(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( ~ p1(X)
& r1(Y,X) )
& ? [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& ( ? [Y] :
( ! [X] :
( ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
& ~ p1(Y)
& r1(X,Y) )
| ! [Y] :
( ? [X] :
( ~ p1(X)
& r1(Y,X) )
| ~ r1(X,Y) )
| p1(X) )
& ! [Y] :
( ( ! [X] :
( ! [Y] :
( ? [X] :
( ! [Y] :
( ~ p2(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ p2(X)
| ! [Y] :
( ( p2(Y)
& ? [X] :
( ~ p3(X)
& r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( p2(Y)
& ? [X] :
( ~ p3(X)
& r1(Y,X) )
& r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
& ! [Y] :
( ~ p4(Y)
| ~ r1(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f10,definition,
! [Y,X] :
( sP0_prd(X,Y)
<=> ( ~ p1(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f11,plain,
? [X] :
( ! [Y] :
( ? [X] :
( p1(X)
& r1(Y,X) )
| ! [X] :
( ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ? [Y] :
( ~ p2(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( ~ p1(X)
& r1(Y,X) )
& ? [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& ( ? [Y] :
( ! [X] :
( ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
& ~ p1(Y)
& r1(X,Y) )
| ! [Y] :
( ? [X] : sP0_prd(X,Y)
| ~ r1(X,Y) )
| p1(X) )
& ! [Y] :
( ( ! [X] :
( ! [Y] :
( ? [X] :
( ! [Y] :
( ~ p2(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ p2(X)
| ! [Y] :
( ( p2(Y)
& ? [X] :
( ~ p3(X)
& r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( p2(Y)
& ? [X] :
( ~ p3(X)
& r1(Y,X) )
& r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
& ! [Y] :
( ~ p4(Y)
| ~ r1(X,Y) ) ),
inference(formula_renaming,[status(thm)],[f9,f10]) ).
fof(f12,plain,
( ! [Y] :
( ( p1(sK12_skl(Y))
& r1(Y,sK12_skl(Y)) )
| ! [X] :
( ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [X] :
( ( ~ p2(sK11_skl(X))
& r1(X,sK11_skl(X)) )
| ~ r1(sK10_skl,X) )
& r1(sK0_skl,sK10_skl)
& ~ p1(sK9_skl)
& r1(sK7_skl,sK9_skl)
& ! [Y] :
( p1(Y)
| ~ r1(sK8_skl,Y) )
& r1(sK7_skl,sK8_skl)
& r1(sK0_skl,sK7_skl)
& ( ( ! [X] :
( ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(sK6_skl,X) )
& ~ p1(sK6_skl)
& r1(sK0_skl,sK6_skl) )
| ! [Y] :
( sP0_prd(sK5_skl(Y),Y)
| ~ r1(sK0_skl,Y) )
| p1(sK0_skl) )
& ! [Y] :
( ( ! [X] :
( ! [Y] :
( ( ! [Y] :
( ~ p2(Y)
| ~ r1(sK4_skl(Y,X,Y),Y) )
& r1(Y,sK4_skl(Y,X,Y)) )
| ~ r1(X,Y) )
| ~ p2(X)
| ! [Y] :
( ( p2(Y)
& ~ p3(sK3_skl(Y,X,Y))
& r1(Y,sK3_skl(Y,X,Y)) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
& ! [X] :
( ( p2(sK1_skl(X,Y))
& ~ p3(sK2_skl(X,Y))
& r1(sK1_skl(X,Y),sK2_skl(X,Y))
& r1(X,sK1_skl(X,Y)) )
| ~ r1(Y,X) ) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ~ p4(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,sK11_skl,sK12_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl(X,Y)),skolemize(X,sK2_skl(X,Y)),skolemize(X,sK3_skl(Y,X,Y)),skolemize(X,sK4_skl(Y,X,Y)),skolemize(X,sK5_skl(Y)),skolemize(Y,sK6_skl),skolemize(Y,sK7_skl),skolemize(X,sK8_skl),skolemize(X,sK9_skl),skolemize(Y,sK10_skl),skolemize(Y,sK11_skl(X)),skolemize(X,sK12_skl(Y))],[f11]) ).
fof(f14,plain,
! [X0,X1] :
( r1(X1,sK1_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f17,plain,
! [X0,X1] :
( p2(sK1_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f22,plain,
! [X0,X1,X2,X3] :
( r1(X3,sK4_skl(X3,X1,X0))
| ~ r1(X1,X3)
| ~ p2(X1)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4] :
( ~ p2(X4)
| ~ r1(sK4_skl(X3,X1,X0),X4)
| ~ r1(X1,X3)
| ~ p2(X1)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f32,plain,
r1(sK0_skl,sK10_skl),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f33,plain,
! [X0] :
( r1(X0,sK11_skl(X0))
| ~ r1(sK10_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f34,plain,
! [X0] :
( ~ p2(sK11_skl(X0))
| ~ r1(sK10_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f90,plain,
! [X0,X1,X2,X3,X4] :
( ~ r1(X2,X1)
| ~ r1(sK0_skl,X2)
| r1(X4,sK4_skl(X4,sK1_skl(X1,X2),X0))
| ~ r1(sK1_skl(X1,X2),X4)
| p2(X3)
| ~ r1(sK1_skl(X1,X2),X3)
| ~ r1(X0,sK1_skl(X1,X2))
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f22,f17]) ).
fof(f91,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ r1(X5,X4)
| ~ r1(sK0_skl,X5)
| ~ r1(sK4_skl(X3,X1,X0),sK1_skl(X4,X5))
| ~ r1(X1,X3)
| ~ p2(X1)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f23,f17]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ r1(X2,X1)
| ~ r1(sK0_skl,X2)
| ~ r1(X6,X5)
| ~ r1(sK0_skl,X6)
| ~ r1(sK4_skl(X4,sK1_skl(X1,X2),X0),sK1_skl(X5,X6))
| ~ r1(sK1_skl(X1,X2),X4)
| p2(X3)
| ~ r1(sK1_skl(X1,X2),X3)
| ~ r1(X0,sK1_skl(X1,X2))
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f91,f17]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ r1(X5,sK4_skl(X4,sK1_skl(X1,X2),X0))
| ~ r1(sK0_skl,X5)
| ~ r1(X2,X1)
| ~ r1(sK0_skl,X2)
| ~ r1(X5,sK4_skl(X4,sK1_skl(X1,X2),X0))
| ~ r1(sK0_skl,X5)
| ~ r1(sK1_skl(X1,X2),X4)
| p2(X3)
| ~ r1(sK1_skl(X1,X2),X3)
| ~ r1(X0,sK1_skl(X1,X2))
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f137,f14]) ).
fof(f176,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ r1(X2,X1)
| ~ r1(sK0_skl,X2)
| ~ r1(X5,sK4_skl(X4,sK1_skl(X1,X2),X0))
| ~ r1(sK0_skl,X5)
| ~ r1(sK1_skl(X1,X2),X4)
| p2(X3)
| ~ r1(sK1_skl(X1,X2),X3)
| ~ r1(X0,sK1_skl(X1,X2))
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f174]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4] :
( ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(X4,sK4_skl(X3,sK1_skl(X0,X1),X0))
| ~ r1(sK0_skl,X4)
| ~ r1(sK1_skl(X0,X1),X3)
| p2(X2)
| ~ r1(sK1_skl(X0,X1),X2)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f176,f14]) ).
fof(f182,plain,
! [X0,X1,X2,X3,X4] :
( ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(X4,sK4_skl(X3,sK1_skl(X0,X1),X0))
| ~ r1(sK0_skl,X4)
| ~ r1(sK1_skl(X0,X1),X3)
| p2(X2)
| ~ r1(sK1_skl(X0,X1),X2)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f179]) ).
fof(f183,plain,
! [X0,X1,X2,X3,X4] :
( ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(X4,sK4_skl(X3,sK1_skl(X0,X1),X0))
| ~ r1(sK0_skl,X4)
| ~ r1(sK1_skl(X0,X1),X3)
| p2(X2)
| ~ r1(sK1_skl(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f182,f8]) ).
fof(f184,plain,
! [X0,X1,X2,X3,X4] :
( ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK1_skl(X0,X1),X3)
| p2(X4)
| ~ r1(sK1_skl(X0,X1),X4)
| ~ r1(X0,sK1_skl(X0,X1))
| ~ r1(sK0_skl,X0)
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,X3)
| ~ r1(sK1_skl(X0,X1),X3)
| p2(X2)
| ~ r1(sK1_skl(X0,X1),X2) ),
inference(resolution,[status(thm)],[f183,f90]) ).
fof(f187,plain,
! [X0,X1,X2,X3,X4] :
( p2(X4)
| ~ r1(sK1_skl(X0,X1),X4)
| ~ r1(X0,sK1_skl(X0,X1))
| ~ r1(sK0_skl,X0)
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,X3)
| ~ r1(sK1_skl(X0,X1),X3)
| p2(X2)
| ~ r1(sK1_skl(X0,X1),X2) ),
inference(duplicate_literals_removal,[status(thm)],[f184]) ).
fof(f188,plain,
! [X0,X1,X2,X3,X4] :
( p2(X4)
| ~ r1(sK1_skl(X0,X1),X4)
| ~ r1(X0,sK1_skl(X0,X1))
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,X3)
| ~ r1(sK1_skl(X0,X1),X3)
| p2(X2)
| ~ r1(sK1_skl(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f187,f8]) ).
fof(f208,plain,
! [X0,X1,X2,X3,X4] :
( p2(X4)
| ~ r1(sK1_skl(X0,X1),X4)
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,X3)
| ~ r1(sK1_skl(X0,X1),X3)
| p2(X2)
| ~ r1(sK1_skl(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f188,f14]) ).
fof(f209,plain,
! [X0,X1,X2,X3,X4] :
( ~ r1(sK10_skl,X4)
| ~ r1(sK1_skl(X0,X1),sK11_skl(X4))
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,X3)
| ~ r1(sK1_skl(X0,X1),X3)
| p2(X2)
| ~ r1(sK1_skl(X0,X1),X2) ),
inference(resolution,[status(thm)],[f208,f34]) ).
fof(f216,plain,
! [X0,X1,X2,X3] :
( ~ r1(sK10_skl,sK1_skl(X0,X1))
| ~ r1(sK10_skl,sK1_skl(X0,X1))
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,X3)
| ~ r1(sK1_skl(X0,X1),X3)
| p2(X2)
| ~ r1(sK1_skl(X0,X1),X2) ),
inference(resolution,[status(thm)],[f209,f33]) ).
fof(f218,plain,
! [X0,X1,X2,X3] :
( ~ r1(sK10_skl,sK1_skl(X0,X1))
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,X3)
| ~ r1(sK1_skl(X0,X1),X3)
| p2(X2)
| ~ r1(sK1_skl(X0,X1),X2) ),
inference(duplicate_literals_removal,[status(thm)],[f216]) ).
fof(f220,plain,
! [X0,X1,X2] :
( ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,X2)
| ~ r1(sK1_skl(sK10_skl,X0),X2)
| p2(X1)
| ~ r1(sK1_skl(sK10_skl,X0),X1) ),
inference(resolution,[status(thm)],[f218,f14]) ).
fof(f222,plain,
! [X0,X1,X2] :
( ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,X2)
| ~ r1(sK1_skl(sK10_skl,X0),X2)
| p2(X1)
| ~ r1(sK1_skl(sK10_skl,X0),X1) ),
inference(duplicate_literals_removal,[status(thm)],[f220]) ).
fof(f223,plain,
! [X0,X1] :
( ~ r1(sK0_skl,sK0_skl)
| ~ r1(sK0_skl,X1)
| ~ r1(sK1_skl(sK10_skl,sK0_skl),X1)
| p2(X0)
| ~ r1(sK1_skl(sK10_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f222,f32]) ).
fof(f226,plain,
! [X0,X1] :
( ~ r1(sK0_skl,X1)
| ~ r1(sK1_skl(sK10_skl,sK0_skl),X1)
| p2(X0)
| ~ r1(sK1_skl(sK10_skl,sK0_skl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f223,f5]) ).
fof(f270,plain,
! [X0,X1] :
( ~ r1(sK10_skl,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK1_skl(sK10_skl,sK0_skl),X1)
| ~ r1(sK1_skl(sK10_skl,sK0_skl),sK11_skl(X0)) ),
inference(resolution,[status(thm)],[f226,f34]) ).
fof(f295,plain,
! [X0] :
( ~ r1(sK10_skl,sK1_skl(sK10_skl,sK0_skl))
| ~ r1(sK10_skl,sK1_skl(sK10_skl,sK0_skl))
| ~ r1(sK0_skl,X0)
| ~ r1(sK1_skl(sK10_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f270,f33]) ).
fof(f297,plain,
! [X0] :
( ~ r1(sK10_skl,sK1_skl(sK10_skl,sK0_skl))
| ~ r1(sK0_skl,X0)
| ~ r1(sK1_skl(sK10_skl,sK0_skl),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f295]) ).
fof(f298,plain,
! [X0] :
( ~ r1(sK0_skl,sK10_skl)
| ~ r1(sK0_skl,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK1_skl(sK10_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f297,f14]) ).
fof(f300,plain,
! [X0] :
( ~ r1(sK0_skl,sK10_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK1_skl(sK10_skl,sK0_skl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f298,f5]) ).
fof(f301,plain,
! [X0] :
( ~ r1(sK0_skl,X0)
| ~ r1(sK1_skl(sK10_skl,sK0_skl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f300,f32]) ).
fof(f310,plain,
~ r1(sK0_skl,sK1_skl(sK10_skl,sK0_skl)),
inference(resolution,[status(thm)],[f301,f5]) ).
fof(f312,plain,
! [X0] :
( ~ r1(X0,sK1_skl(sK10_skl,sK0_skl))
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f310,f8]) ).
fof(f313,plain,
( ~ r1(sK0_skl,sK10_skl)
| ~ r1(sK0_skl,sK0_skl)
| ~ r1(sK0_skl,sK10_skl) ),
inference(resolution,[status(thm)],[f312,f14]) ).
fof(f316,plain,
( ~ r1(sK0_skl,sK0_skl)
| ~ r1(sK0_skl,sK10_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f313]) ).
fof(f317,plain,
~ r1(sK0_skl,sK0_skl),
inference(forward_subsumption_resolution,[status(thm)],[f316,f32]) ).
fof(f318,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f317,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL688+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n020.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 00:59:47 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 0.23/1.00 % Refutation found
% 0.23/1.00 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/1.00 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.32/1.04 % Elapsed time: 0.570371 seconds
% 0.32/1.04 % CPU time: 4.149491 seconds
% 0.32/1.04 % Total memory used: 38.202 MB
% 0.32/1.04 % Net memory used: 33.054 MB
%------------------------------------------------------------------------------