%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL652+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 : n008.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 01:08:22 PM UTC 2026
% Result : Theorem 245.12s 32.92s
% Output : CNFRefutation 245.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 85
% Number of leaves : 5
% Syntax : Number of formulae : 186 ( 7 unt; 4 def)
% Number of atoms : 1283 ( 0 equ)
% Maximal formula atoms : 74 ( 6 avg)
% Number of connectives : 1804 ( 707 ~; 937 |; 156 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 8 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 5 con; 0-3 aty)
% Number of variables : 529 ( 473 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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)
| ~ 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) )
& ! [X] :
( ~ p2(X)
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ ( ! [Y] :
( ~ ! [X] :
( ~ ! [Y] :
( ~ p2(Y)
| ! [X] :
( p3(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ~ ! [X] :
( ~ p2(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ( ! [X] :
( ~ ! [Y] :
( ~ p2(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ! [Y] :
( ~ ! [X] :
( ~ p2(X)
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ ! [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] :
( ~ ( ! [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] :
( ~ p4(Y)
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,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)
| ~ 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) )
& ! [X] :
( ~ p2(X)
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ ( ! [Y] :
( ~ ! [X] :
( ~ ! [Y] :
( ~ p2(Y)
| ! [X] :
( p3(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ~ ! [X] :
( ~ p2(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ( ! [X] :
( ~ ! [Y] :
( ~ p2(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ! [Y] :
( ~ ! [X] :
( ~ p2(X)
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ ! [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] :
( ~ ( ! [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] :
( ~ p4(Y)
| ~ r1(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,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)
& 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) )
| ? [X] :
( p2(X)
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& r1(Y,X) ) )
& ! [X] :
( ? [Y] :
( ! [X] :
( ? [Y] :
( p2(Y)
& ? [X] :
( ~ p3(X)
& r1(Y,X) )
& r1(X,Y) )
| ~ r1(Y,X) )
& r1(X,Y) )
| ? [Y] :
( ! [X] :
( ~ p2(X)
| ~ r1(Y,X) )
& r1(X,Y) )
| ~ r1(Y,X) )
& ( ? [X] :
( ! [Y] :
( ~ p2(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| ! [X] :
( ! [Y] :
( ? [X] :
( p2(X)
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
& ! [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] :
( ? [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] :
( ~ p4(Y)
| ~ r1(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,definition,
! [Y,X] :
( sP0_prd(X,Y)
<=> ( p1(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f5,definition,
! [Y,X] :
( sP1_prd(X,Y)
<=> ( p2(X)
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f6,definition,
! [X,Y] :
( sP2_prd(Y,X)
<=> ( ! [X] :
( ~ p2(X)
| ~ r1(Y,X) )
& r1(X,Y) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f7,definition,
! [Y,X] :
( sP3_prd(X,Y)
<=> ( p2(X)
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f8,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)
& 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) )
| ? [X] : sP3_prd(X,Y) )
& ! [X] :
( ? [Y] :
( ! [X] :
( ? [Y] :
( p2(Y)
& ? [X] :
( ~ p3(X)
& r1(Y,X) )
& r1(X,Y) )
| ~ r1(Y,X) )
& r1(X,Y) )
| ? [Y] : sP2_prd(Y,X)
| ~ r1(Y,X) )
& ( ? [X] :
( ! [Y] :
( ~ p2(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| ! [X] :
( ! [Y] :
( ? [X] : sP1_prd(X,Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
& ! [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] :
( ? [X] :
( ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| ! [X] :
( ! [Y] :
( ? [X] : sP0_prd(X,Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ~ p4(Y)
| ~ r1(X,Y) ) ),
inference(formula_renaming,[status(thm)],[f3,f7,f6,f5,f4]) ).
fof(f9,plain,
( ! [Y] :
( ( p1(sK21_skl(Y))
& r1(Y,sK21_skl(Y)) )
| ! [X] :
( ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [X] :
( ( ~ p2(sK20_skl(X))
& r1(X,sK20_skl(X)) )
| ~ r1(sK19_skl,X) )
& r1(sK0_skl,sK19_skl)
& ~ p1(sK18_skl)
& r1(sK16_skl,sK18_skl)
& ! [Y] :
( p1(Y)
| ~ r1(sK17_skl,Y) )
& r1(sK16_skl,sK17_skl)
& r1(sK0_skl,sK16_skl)
& ! [Y] :
( ( ~ p1(sK15_skl(Y))
& r1(Y,sK15_skl(Y)) )
| ! [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ( ( ( ! [Y] :
( ~ p2(Y)
| ~ r1(sK14_skl(Y),Y) )
& r1(Y,sK14_skl(Y)) )
| sP3_prd(sK13_skl(Y),Y) )
& ! [X] :
( ( ! [X] :
( ( p2(sK11_skl(X,X,Y))
& ~ p3(sK12_skl(X,X,Y))
& r1(sK11_skl(X,X,Y),sK12_skl(X,X,Y))
& r1(X,sK11_skl(X,X,Y)) )
| ~ r1(sK10_skl(X,Y),X) )
& r1(X,sK10_skl(X,Y)) )
| sP2_prd(sK9_skl(X,Y),X)
| ~ r1(Y,X) )
& ( ( ! [Y] :
( ~ p2(Y)
| ~ r1(sK8_skl(Y),Y) )
& r1(Y,sK8_skl(Y)) )
| ! [X] :
( ! [Y] :
( sP1_prd(sK7_skl(Y,X,Y),Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
& ! [X] :
( ! [Y] :
( ( ! [Y] :
( ~ p2(Y)
| ~ r1(sK6_skl(Y,X,Y),Y) )
& r1(Y,sK6_skl(Y,X,Y)) )
| ~ r1(X,Y) )
| ~ p2(X)
| ! [Y] :
( ( p2(Y)
& ~ p3(sK5_skl(Y,X,Y))
& r1(Y,sK5_skl(Y,X,Y)) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
& ! [X] :
( ( p2(sK3_skl(X,Y))
& ~ p3(sK4_skl(X,Y))
& r1(sK3_skl(X,Y),sK4_skl(X,Y))
& r1(X,sK3_skl(X,Y)) )
| ~ r1(Y,X) ) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ( ! [Y] :
( ~ p1(Y)
| ~ r1(sK2_skl(Y),Y) )
& r1(Y,sK2_skl(Y)) )
| ! [X] :
( ! [Y] :
( sP0_prd(sK1_skl(Y,X,Y),Y)
| ~ r1(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,sK13_skl,sK14_skl,sK15_skl,sK16_skl,sK17_skl,sK18_skl,sK19_skl,sK20_skl,sK21_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl(Y,X,Y)),skolemize(X,sK2_skl(Y)),skolemize(Y,sK3_skl(X,Y)),skolemize(X,sK4_skl(X,Y)),skolemize(X,sK5_skl(Y,X,Y)),skolemize(X,sK6_skl(Y,X,Y)),skolemize(X,sK7_skl(Y,X,Y)),skolemize(X,sK8_skl(Y)),skolemize(Y,sK9_skl(X,Y)),skolemize(Y,sK10_skl(X,Y)),skolemize(Y,sK11_skl(X,X,Y)),skolemize(X,sK12_skl(X,X,Y)),skolemize(X,sK13_skl(Y)),skolemize(X,sK14_skl(Y)),skolemize(X,sK15_skl(Y)),skolemize(Y,sK16_skl),skolemize(X,sK17_skl),skolemize(X,sK18_skl),skolemize(Y,sK19_skl),skolemize(Y,sK20_skl(X)),skolemize(X,sK21_skl(Y))],[f8]) ).
fof(f13,plain,
! [X0,X1] :
( r1(X1,sK3_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f14,plain,
! [X0,X1] :
( r1(sK3_skl(X1,X0),sK4_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f15,plain,
! [X0,X1] :
( ~ p3(sK4_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f16,plain,
! [X0,X1] :
( p2(sK3_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f21,plain,
! [X0,X1,X2,X3] :
( r1(X3,sK6_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)],[f9]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4] :
( ~ p2(X4)
| ~ r1(sK6_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)],[f9]) ).
fof(f23,plain,
! [X0,X1,X2] :
( r1(X0,sK8_skl(X0))
| sP1_prd(sK7_skl(X2,X1,X0),X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( ~ p2(X3)
| ~ r1(sK8_skl(X0),X3)
| sP1_prd(sK7_skl(X2,X1,X0),X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f25,plain,
! [X0,X1] :
( r1(X1,sK10_skl(X1,X0))
| sP2_prd(sK9_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f26,plain,
! [X0,X1,X2] :
( r1(X2,sK11_skl(X2,X1,X0))
| ~ r1(sK10_skl(X1,X0),X2)
| sP2_prd(sK9_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f29,plain,
! [X0,X1,X2] :
( p2(sK11_skl(X2,X1,X0))
| ~ r1(sK10_skl(X1,X0),X2)
| sP2_prd(sK9_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f30,plain,
! [X0] :
( r1(X0,sK14_skl(X0))
| sP3_prd(sK13_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f31,plain,
! [X0,X1] :
( ~ p2(X1)
| ~ r1(sK14_skl(X0),X1)
| sP3_prd(sK13_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f39,plain,
r1(sK0_skl,sK19_skl),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f40,plain,
! [X0] :
( r1(X0,sK20_skl(X0))
| ~ r1(sK19_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f41,plain,
! [X0] :
( ~ p2(sK20_skl(X0))
| ~ r1(sK19_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f49,plain,
! [Y,X] :
( ( ~ p2(X)
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP1_prd(X,Y) )
& ( ( p2(X)
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP1_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f50,plain,
( ! [Y,X] :
( ~ p2(X)
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP1_prd(X,Y) )
& ! [Y,X] :
( ( p2(X)
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP1_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f49]) ).
fof(f51,plain,
( ! [Y,X] :
( ~ p2(X)
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP1_prd(X,Y) )
& ! [Y,X] :
( ( p2(X)
& ~ p3(sK22_skl(X,Y))
& r1(X,sK22_skl(X,Y))
& r1(Y,X) )
| ~ sP1_prd(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22_skl]),skolemize(Y,sK22_skl(X,Y))],[f50]) ).
fof(f52,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( r1(X0,sK22_skl(X0,X1))
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f54,plain,
! [X0,X1] :
( ~ p3(sK22_skl(X0,X1))
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f55,plain,
! [X0,X1] :
( p2(X0)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ~ p2(X0)
| p3(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f57,plain,
! [X,Y] :
( ( ? [X] :
( p2(X)
& r1(Y,X) )
| ~ r1(X,Y)
| sP2_prd(Y,X) )
& ( ( ! [X] :
( ~ p2(X)
| ~ r1(Y,X) )
& r1(X,Y) )
| ~ sP2_prd(Y,X) ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f58,plain,
( ! [X,Y] :
( ? [X] :
( p2(X)
& r1(Y,X) )
| ~ r1(X,Y)
| sP2_prd(Y,X) )
& ! [X,Y] :
( ( ! [X] :
( ~ p2(X)
| ~ r1(Y,X) )
& r1(X,Y) )
| ~ sP2_prd(Y,X) ) ),
inference(miniscoping,[status(thm)],[f57]) ).
fof(f59,plain,
( ! [X,Y] :
( ( p2(sK23_skl(Y,X))
& r1(Y,sK23_skl(Y,X)) )
| ~ r1(X,Y)
| sP2_prd(Y,X) )
& ! [X,Y] :
( ( ! [X] :
( ~ p2(X)
| ~ r1(Y,X) )
& r1(X,Y) )
| ~ sP2_prd(Y,X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(X,sK23_skl(Y,X))],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ~ p2(X2)
| ~ r1(X0,X2)
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f62,plain,
! [X0,X1] :
( r1(X0,sK23_skl(X0,X1))
| ~ r1(X1,X0)
| sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f63,plain,
! [X0,X1] :
( p2(sK23_skl(X0,X1))
| ~ r1(X1,X0)
| sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f64,plain,
! [Y,X] :
( ( ~ p2(X)
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP3_prd(X,Y) )
& ( ( p2(X)
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP3_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f65,plain,
( ! [Y,X] :
( ~ p2(X)
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP3_prd(X,Y) )
& ! [Y,X] :
( ( p2(X)
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP3_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f64]) ).
fof(f66,plain,
( ! [Y,X] :
( ~ p2(X)
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP3_prd(X,Y) )
& ! [Y,X] :
( ( p2(X)
& ~ p3(sK24_skl(X,Y))
& r1(X,sK24_skl(X,Y))
& r1(Y,X) )
| ~ sP3_prd(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24_skl]),skolemize(Y,sK24_skl(X,Y))],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f70,plain,
! [X0,X1] :
( p2(X0)
| ~ sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ~ p2(X0)
| p3(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f75,plain,
! [X0] :
( r1(sK23_skl(sK19_skl,X0),sK20_skl(sK23_skl(sK19_skl,X0)))
| ~ r1(X0,sK19_skl)
| sP2_prd(sK19_skl,X0) ),
inference(resolution,[status(thm)],[f62,f40]) ).
fof(f77,plain,
! [X0] :
( r1(X0,sK3_skl(X0,sK19_skl))
| ~ r1(sK19_skl,X0) ),
inference(resolution,[status(thm)],[f13,f39]) ).
fof(f87,plain,
( r1(sK19_skl,sK14_skl(sK19_skl))
| sP3_prd(sK13_skl(sK19_skl),sK19_skl) ),
inference(resolution,[status(thm)],[f30,f39]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( p3(X3)
| ~ r1(sK3_skl(X1,X0),X3)
| ~ r1(X2,sK3_skl(X1,X0))
| sP1_prd(sK3_skl(X1,X0),X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f16,f56]) ).
fof(f102,plain,
! [X0] :
( r1(X0,sK10_skl(X0,sK19_skl))
| sP2_prd(sK9_skl(X0,sK19_skl),X0)
| ~ r1(sK19_skl,X0) ),
inference(resolution,[status(thm)],[f25,f39]) ).
fof(f105,plain,
! [X0] :
( ~ r1(X0,sK19_skl)
| sP2_prd(sK19_skl,X0)
| r1(sK23_skl(sK19_skl,X0),sK10_skl(sK23_skl(sK19_skl,X0),sK19_skl))
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,X0),sK19_skl),sK23_skl(sK19_skl,X0)) ),
inference(resolution,[status(thm)],[f102,f62]) ).
fof(f125,plain,
( r1(sK14_skl(sK19_skl),sK3_skl(sK14_skl(sK19_skl),sK19_skl))
| sP3_prd(sK13_skl(sK19_skl),sK19_skl) ),
inference(resolution,[status(thm)],[f87,f77]) ).
fof(f165,plain,
( ~ p2(sK3_skl(sK14_skl(sK19_skl),sK19_skl))
| sP3_prd(sK13_skl(sK19_skl),sK19_skl)
| ~ r1(sK0_skl,sK19_skl)
| sP3_prd(sK13_skl(sK19_skl),sK19_skl) ),
inference(resolution,[status(thm)],[f125,f31]) ).
fof(f166,plain,
( ~ p2(sK3_skl(sK14_skl(sK19_skl),sK19_skl))
| ~ r1(sK0_skl,sK19_skl)
| sP3_prd(sK13_skl(sK19_skl),sK19_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f165]) ).
fof(f167,plain,
( ~ p2(sK3_skl(sK14_skl(sK19_skl),sK19_skl))
| sP3_prd(sK13_skl(sK19_skl),sK19_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f166,f39]) ).
fof(f168,plain,
( ~ r1(sK19_skl,sK14_skl(sK19_skl))
| ~ r1(sK0_skl,sK19_skl)
| sP3_prd(sK13_skl(sK19_skl),sK19_skl) ),
inference(resolution,[status(thm)],[f167,f16]) ).
fof(f169,plain,
( ~ r1(sK19_skl,sK14_skl(sK19_skl))
| sP3_prd(sK13_skl(sK19_skl),sK19_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f168,f39]) ).
fof(f170,plain,
sP3_prd(sK13_skl(sK19_skl),sK19_skl),
inference(forward_subsumption_resolution,[status(thm)],[f169,f87]) ).
fof(f172,plain,
r1(sK19_skl,sK13_skl(sK19_skl)),
inference(resolution,[status(thm)],[f170,f67]) ).
fof(f173,plain,
p2(sK13_skl(sK19_skl)),
inference(resolution,[status(thm)],[f170,f70]) ).
fof(f183,plain,
! [X0,X1,X2] :
( r1(X2,sK6_skl(X2,X0,sK19_skl))
| ~ r1(X0,X2)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK19_skl,X0) ),
inference(resolution,[status(thm)],[f21,f39]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4] :
( ~ r1(X4,sK6_skl(X3,X1,X0))
| sP2_prd(sK6_skl(X3,X1,X0),X4)
| ~ p2(sK23_skl(sK6_skl(X3,X1,X0),X4))
| ~ r1(X1,X3)
| ~ p2(X1)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f22,f62]) ).
fof(f187,plain,
! [X0,X1,X2,X3,X4] :
( ~ r1(X4,sK6_skl(X3,X1,X0))
| sP2_prd(sK6_skl(X3,X1,X0),X4)
| ~ r1(X1,X3)
| ~ p2(X1)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f186,f63]) ).
fof(f188,plain,
! [X0,X1] :
( r1(sK19_skl,sK8_skl(sK19_skl))
| sP1_prd(sK7_skl(X1,X0,sK19_skl),X1)
| ~ r1(X0,X1)
| ~ r1(sK19_skl,X0) ),
inference(resolution,[status(thm)],[f23,f39]) ).
fof(f192,plain,
! [X0,X1] :
( ~ r1(X0,sK19_skl)
| sP2_prd(sK19_skl,X0)
| r1(sK19_skl,sK8_skl(sK19_skl))
| sP1_prd(sK7_skl(X1,sK23_skl(sK19_skl,X0),sK19_skl),X1)
| ~ r1(sK23_skl(sK19_skl,X0),X1) ),
inference(resolution,[status(thm)],[f188,f62]) ).
fof(f207,plain,
! [X0,X1,X2] :
( ~ r1(X0,sK19_skl)
| sP2_prd(sK19_skl,X0)
| r1(X2,sK6_skl(X2,sK23_skl(sK19_skl,X0),sK19_skl))
| ~ r1(sK23_skl(sK19_skl,X0),X2)
| ~ p2(sK23_skl(sK19_skl,X0))
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,X0),X1) ),
inference(resolution,[status(thm)],[f183,f62]) ).
fof(f209,plain,
! [X0,X1,X2] :
( ~ r1(X0,sK19_skl)
| sP2_prd(sK19_skl,X0)
| r1(X2,sK6_skl(X2,sK23_skl(sK19_skl,X0),sK19_skl))
| ~ r1(sK23_skl(sK19_skl,X0),X2)
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f207,f63]) ).
fof(f374,plain,
! [X0,X1,X2] :
( ~ r1(X0,X1)
| ~ r1(sK0_skl,X0)
| p3(sK4_skl(X1,X0))
| ~ r1(X2,sK3_skl(X1,X0))
| sP1_prd(sK3_skl(X1,X0),X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f98,f14]) ).
fof(f376,plain,
! [X0,X1,X2] :
( p3(sK4_skl(X1,X0))
| ~ r1(X2,sK3_skl(X1,X0))
| sP1_prd(sK3_skl(X1,X0),X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f374]) ).
fof(f377,plain,
! [X0,X1,X2] :
( ~ r1(X2,sK3_skl(X1,X0))
| sP1_prd(sK3_skl(X1,X0),X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f376,f15]) ).
fof(f422,plain,
! [X0,X1] :
( ~ r1(X1,sK3_skl(X0,sK19_skl))
| sP1_prd(sK3_skl(X0,sK19_skl),X1)
| ~ r1(sK19_skl,X0) ),
inference(resolution,[status(thm)],[f377,f39]) ).
fof(f563,plain,
( sP2_prd(sK19_skl,sK0_skl)
| r1(sK23_skl(sK19_skl,sK0_skl),sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl)) ),
inference(resolution,[status(thm)],[f105,f39]) ).
fof(f675,plain,
! [X0] :
( sP2_prd(sK19_skl,sK0_skl)
| r1(sK19_skl,sK8_skl(sK19_skl))
| sP1_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f192,f39]) ).
fof(f676,plain,
! [X0,X1] :
( sP2_prd(sK19_skl,sK0_skl)
| r1(X1,sK6_skl(X1,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X1)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f209,f39]) ).
fof(f1207,plain,
! [X0] :
( r1(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK22_skl(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X0))
| sP2_prd(sK19_skl,sK0_skl)
| r1(sK19_skl,sK8_skl(sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f675,f53]) ).
fof(f1208,plain,
! [X0] :
( r1(X0,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| r1(sK19_skl,sK8_skl(sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f675,f52]) ).
fof(f1209,plain,
! [X0] :
( p2(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| r1(sK19_skl,sK8_skl(sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f675,f55]) ).
fof(f1212,plain,
! [X0,X1,X2] :
( p3(X2)
| ~ r1(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X2)
| ~ r1(X1,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP3_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X1)
| sP2_prd(sK19_skl,sK0_skl)
| r1(sK19_skl,sK8_skl(sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f1209,f71]) ).
fof(f1358,plain,
! [X0] :
( sP2_prd(sK19_skl,sK0_skl)
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK19_skl,sK0_skl)
| r1(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f676,f563]) ).
fof(f1365,plain,
! [X0] :
( sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK19_skl,sK0_skl)
| r1(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1358]) ).
fof(f1797,plain,
! [X0] :
( p2(sK11_skl(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| ~ r1(sK19_skl,sK23_skl(sK19_skl,sK0_skl))
| ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f1365,f29]) ).
fof(f1798,plain,
! [X0] :
( r1(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK11_skl(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| ~ r1(sK19_skl,sK23_skl(sK19_skl,sK0_skl))
| ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f1365,f26]) ).
fof(f1799,plain,
! [X0,X1] :
( sP2_prd(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| ~ p2(sK23_skl(sK19_skl,sK0_skl))
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X1)
| ~ r1(sK19_skl,sK23_skl(sK19_skl,sK0_skl))
| ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f1365,f187]) ).
fof(f1801,plain,
! [X0] :
( p2(sK11_skl(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| ~ r1(sK19_skl,sK23_skl(sK19_skl,sK0_skl))
| ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1797]) ).
fof(f1802,plain,
! [X0] :
( p2(sK11_skl(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| ~ r1(sK19_skl,sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1801,f39]) ).
fof(f1803,plain,
! [X0] :
( r1(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK11_skl(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| ~ r1(sK19_skl,sK23_skl(sK19_skl,sK0_skl))
| ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1798]) ).
fof(f1804,plain,
! [X0] :
( r1(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK11_skl(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| ~ r1(sK19_skl,sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1803,f39]) ).
fof(f1805,plain,
! [X0,X1] :
( sP2_prd(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| ~ p2(sK23_skl(sK19_skl,sK0_skl))
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X1)
| ~ r1(sK19_skl,sK23_skl(sK19_skl,sK0_skl))
| ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1799,f61]) ).
fof(f2034,plain,
! [X0,X1] :
( sP2_prd(sK19_skl,sK0_skl)
| r1(sK19_skl,sK8_skl(sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| p3(sK22_skl(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X0))
| ~ r1(X1,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP3_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X1)
| sP2_prd(sK19_skl,sK0_skl)
| r1(sK19_skl,sK8_skl(sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f1212,f1207]) ).
fof(f2036,plain,
! [X0,X1] :
( p3(sK22_skl(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X0))
| ~ r1(X1,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP3_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X1)
| sP2_prd(sK19_skl,sK0_skl)
| r1(sK19_skl,sK8_skl(sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2034]) ).
fof(f2926,plain,
! [X0] :
( ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK11_skl(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f1802,f62]) ).
fof(f2927,plain,
! [X0] :
( ~ r1(sK0_skl,sK19_skl)
| p2(sK11_skl(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2926]) ).
fof(f2928,plain,
! [X0] :
( p2(sK11_skl(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2927,f39]) ).
fof(f2942,plain,
! [X0] :
( ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK19_skl,sK0_skl)
| r1(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK11_skl(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f1804,f62]) ).
fof(f2943,plain,
! [X0] :
( ~ r1(sK0_skl,sK19_skl)
| r1(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK11_skl(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2942]) ).
fof(f2944,plain,
! [X0] :
( r1(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK11_skl(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2943,f39]) ).
fof(f2992,plain,
! [X0,X1] :
( sP2_prd(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| ~ p2(sK23_skl(sK19_skl,sK0_skl))
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X1)
| ~ r1(sK19_skl,sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1805,f39]) ).
fof(f2993,plain,
! [X0,X1] :
( ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK19_skl,sK0_skl)
| sP2_prd(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| ~ p2(sK23_skl(sK19_skl,sK0_skl))
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X1)
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f2992,f62]) ).
fof(f2994,plain,
! [X0,X1] :
( ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK19_skl,sK0_skl)
| sP2_prd(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X1)
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2993,f63]) ).
fof(f3579,plain,
! [X0,X1] :
( ~ sP1_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X0)
| ~ r1(X1,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP3_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X1)
| sP2_prd(sK19_skl,sK0_skl)
| r1(sK19_skl,sK8_skl(sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f2036,f54]) ).
fof(f3580,plain,
! [X0,X1] :
( ~ r1(X1,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP3_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X1)
| sP2_prd(sK19_skl,sK0_skl)
| r1(sK19_skl,sK8_skl(sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3579,f675]) ).
fof(f5460,plain,
! [X0,X1] :
( ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK19_skl,sK0_skl)
| sP2_prd(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X1)
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2994,f105]) ).
fof(f5461,plain,
! [X0,X1] :
( sP2_prd(sK19_skl,sK0_skl)
| sP2_prd(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X1)
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f5460,f39]) ).
fof(f5806,plain,
! [X0,X1,X2] :
( ~ p2(X2)
| ~ r1(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),X2)
| sP2_prd(sK19_skl,sK0_skl)
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X1)
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f5461,f61]) ).
fof(f5808,plain,
! [X0,X1,X2] :
( sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(X2)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X2)
| ~ p2(sK11_skl(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X1)
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f5806,f2944]) ).
fof(f5810,plain,
! [X0,X1,X2] :
( p2(X2)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X2)
| ~ p2(sK11_skl(sK6_skl(sK10_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X1)
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f5808]) ).
fof(f5811,plain,
! [X0,X1,X2] :
( p2(X2)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X2)
| sP2_prd(sK19_skl,sK0_skl)
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X1)
| sP2_prd(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl))
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f5810,f2928]) ).
fof(f5813,plain,
! [X0,X1,X2,X3] :
( ~ p2(X3)
| ~ r1(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),X3)
| p2(X2)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X2)
| sP2_prd(sK19_skl,sK0_skl)
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X1)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f5811,f61]) ).
fof(f5814,plain,
! [X0,X1,X2] :
( r1(sK23_skl(sK19_skl,sK0_skl),sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| p2(X2)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X2)
| sP2_prd(sK19_skl,sK0_skl)
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X1)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f5811,f60]) ).
fof(f5843,plain,
! [X0] :
( ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK19_skl,sK0_skl)
| r1(sK23_skl(sK19_skl,sK0_skl),sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f5814,f75]) ).
fof(f5879,plain,
! [X0] :
( ~ r1(sK0_skl,sK19_skl)
| r1(sK23_skl(sK19_skl,sK0_skl),sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f5843]) ).
fof(f5880,plain,
! [X0] :
( r1(sK23_skl(sK19_skl,sK0_skl),sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f5879,f39]) ).
fof(f5910,plain,
( ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK19_skl,sK0_skl)
| r1(sK23_skl(sK19_skl,sK0_skl),sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl))) ),
inference(resolution,[status(thm)],[f5880,f75]) ).
fof(f5922,plain,
( ~ r1(sK0_skl,sK19_skl)
| r1(sK23_skl(sK19_skl,sK0_skl),sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl))) ),
inference(duplicate_literals_removal,[status(thm)],[f5910]) ).
fof(f5923,plain,
( r1(sK23_skl(sK19_skl,sK0_skl),sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f5922,f39]) ).
fof(f5944,plain,
( r1(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK7_skl(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| r1(sK19_skl,sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl))) ),
inference(resolution,[status(thm)],[f5923,f1208]) ).
fof(f5975,plain,
( r1(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK7_skl(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| r1(sK19_skl,sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl))) ),
inference(duplicate_literals_removal,[status(thm)],[f5944]) ).
fof(f6172,plain,
! [X0,X1,X2] :
( ~ p2(sK7_skl(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| p2(X2)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X2)
| sP2_prd(sK19_skl,sK0_skl)
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X1)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| r1(sK19_skl,sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl))) ),
inference(resolution,[status(thm)],[f5975,f5813]) ).
fof(f6176,plain,
( sP3_prd(sK7_skl(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| r1(sK19_skl,sK8_skl(sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| r1(sK19_skl,sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl))) ),
inference(resolution,[status(thm)],[f5975,f3580]) ).
fof(f6177,plain,
! [X0,X1,X2] :
( ~ p2(sK7_skl(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| p2(X2)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X2)
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X1)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| r1(sK19_skl,sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl))) ),
inference(duplicate_literals_removal,[status(thm)],[f6172]) ).
fof(f6181,plain,
( sP3_prd(sK7_skl(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| r1(sK19_skl,sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl))) ),
inference(duplicate_literals_removal,[status(thm)],[f6176]) ).
fof(f6182,plain,
( sP3_prd(sK7_skl(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| r1(sK19_skl,sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f6181,f5923]) ).
fof(f6202,plain,
( p2(sK7_skl(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| r1(sK19_skl,sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl))) ),
inference(resolution,[status(thm)],[f6182,f70]) ).
fof(f7873,plain,
! [X0,X1,X2] :
( p2(X2)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X2)
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X1)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| r1(sK19_skl,sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f6177,f6202]) ).
fof(f7904,plain,
! [X0] :
( ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| r1(sK19_skl,sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl))) ),
inference(resolution,[status(thm)],[f7873,f75]) ).
fof(f7959,plain,
! [X0] :
( ~ r1(sK0_skl,sK19_skl)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| r1(sK19_skl,sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl))) ),
inference(duplicate_literals_removal,[status(thm)],[f7904]) ).
fof(f7960,plain,
! [X0] :
( p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| r1(sK19_skl,sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f7959,f39]) ).
fof(f8003,plain,
( ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| r1(sK19_skl,sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl))) ),
inference(resolution,[status(thm)],[f7960,f75]) ).
fof(f8021,plain,
( ~ r1(sK0_skl,sK19_skl)
| r1(sK19_skl,sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl))) ),
inference(duplicate_literals_removal,[status(thm)],[f8003]) ).
fof(f8022,plain,
( r1(sK19_skl,sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f8021,f39]) ).
fof(f8025,plain,
( ~ r1(sK19_skl,sK23_skl(sK19_skl,sK0_skl))
| r1(sK19_skl,sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f8022,f41]) ).
fof(f8030,plain,
( ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK19_skl,sK0_skl)
| r1(sK19_skl,sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f8025,f62]) ).
fof(f8031,plain,
( ~ r1(sK0_skl,sK19_skl)
| r1(sK19_skl,sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f8030]) ).
fof(f8032,plain,
( r1(sK19_skl,sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f8031,f39]) ).
fof(f8035,plain,
! [X0] :
( ~ r1(X0,sK3_skl(sK8_skl(sK19_skl),sK19_skl))
| sP1_prd(sK3_skl(sK8_skl(sK19_skl),sK19_skl),X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f8032,f422]) ).
fof(f8043,plain,
( r1(sK8_skl(sK19_skl),sK3_skl(sK8_skl(sK19_skl),sK19_skl))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f8032,f77]) ).
fof(f8049,plain,
! [X0,X1] :
( ~ p2(sK3_skl(sK8_skl(sK19_skl),sK19_skl))
| sP1_prd(sK7_skl(X1,X0,sK19_skl),X1)
| ~ r1(X0,X1)
| ~ r1(sK19_skl,X0)
| ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f8043,f24]) ).
fof(f8050,plain,
! [X0,X1] :
( ~ p2(sK3_skl(sK8_skl(sK19_skl),sK19_skl))
| sP1_prd(sK7_skl(X1,X0,sK19_skl),X1)
| ~ r1(X0,X1)
| ~ r1(sK19_skl,X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f8049,f39]) ).
fof(f8097,plain,
( sP2_prd(sK19_skl,sK0_skl)
| sP1_prd(sK3_skl(sK8_skl(sK19_skl),sK19_skl),sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f8035,f8043]) ).
fof(f8098,plain,
( sP1_prd(sK3_skl(sK8_skl(sK19_skl),sK19_skl),sK8_skl(sK19_skl))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f8097]) ).
fof(f8101,plain,
( p2(sK3_skl(sK8_skl(sK19_skl),sK19_skl))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f8098,f55]) ).
fof(f8215,plain,
! [X0,X1] :
( sP1_prd(sK7_skl(X1,X0,sK19_skl),X1)
| ~ r1(X0,X1)
| ~ r1(sK19_skl,X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f8050,f8101]) ).
fof(f8216,plain,
! [X0,X1] :
( r1(sK7_skl(X1,X0,sK19_skl),sK22_skl(sK7_skl(X1,X0,sK19_skl),X1))
| ~ r1(X0,X1)
| ~ r1(sK19_skl,X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f8215,f53]) ).
fof(f8217,plain,
! [X0,X1] :
( r1(X1,sK7_skl(X1,X0,sK19_skl))
| ~ r1(X0,X1)
| ~ r1(sK19_skl,X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f8215,f52]) ).
fof(f8218,plain,
! [X0,X1] :
( p2(sK7_skl(X1,X0,sK19_skl))
| ~ r1(X0,X1)
| ~ r1(sK19_skl,X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f8215,f55]) ).
fof(f8221,plain,
! [X0,X1,X2,X3] :
( p3(X3)
| ~ r1(sK7_skl(X1,X0,sK19_skl),X3)
| ~ r1(X2,sK7_skl(X1,X0,sK19_skl))
| sP3_prd(sK7_skl(X1,X0,sK19_skl),X2)
| ~ r1(X0,X1)
| ~ r1(sK19_skl,X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f8218,f71]) ).
fof(f8233,plain,
! [X0,X1] :
( ~ r1(X0,sK19_skl)
| sP2_prd(sK19_skl,X0)
| r1(X1,sK7_skl(X1,sK23_skl(sK19_skl,X0),sK19_skl))
| ~ r1(sK23_skl(sK19_skl,X0),X1)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f8217,f62]) ).
fof(f8264,plain,
! [X0,X1,X2,X3] :
( ~ r1(X0,sK19_skl)
| sP2_prd(sK19_skl,X0)
| p3(X3)
| ~ r1(sK7_skl(X1,sK23_skl(sK19_skl,X0),sK19_skl),X3)
| ~ r1(X2,sK7_skl(X1,sK23_skl(sK19_skl,X0),sK19_skl))
| sP3_prd(sK7_skl(X1,sK23_skl(sK19_skl,X0),sK19_skl),X2)
| ~ r1(sK23_skl(sK19_skl,X0),X1)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f8221,f62]) ).
fof(f8491,plain,
! [X0] :
( sP2_prd(sK19_skl,sK0_skl)
| r1(X0,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f8233,f39]) ).
fof(f8492,plain,
! [X0] :
( r1(X0,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f8491]) ).
fof(f8501,plain,
( sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| r1(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK7_skl(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f8492,f5923]) ).
fof(f8519,plain,
( p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| r1(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK7_skl(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f8501]) ).
fof(f8786,plain,
! [X0,X1,X2] :
( ~ p2(sK7_skl(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| p2(X2)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X2)
| sP2_prd(sK19_skl,sK0_skl)
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X1)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f8519,f5813]) ).
fof(f8789,plain,
! [X0,X1,X2] :
( ~ p2(sK7_skl(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| p2(X2)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X2)
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X1)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f8786]) ).
fof(f9571,plain,
! [X0,X1,X2] :
( sP2_prd(sK19_skl,sK0_skl)
| p3(X2)
| ~ r1(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X2)
| ~ r1(X1,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP3_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f8264,f39]) ).
fof(f9572,plain,
! [X0,X1,X2] :
( p3(X2)
| ~ r1(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X2)
| ~ r1(X1,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP3_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f9571]) ).
fof(f9577,plain,
! [X0,X1] :
( ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| ~ r1(sK19_skl,sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK19_skl,sK0_skl)
| p3(sK22_skl(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X0))
| ~ r1(X1,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP3_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f9572,f8216]) ).
fof(f9579,plain,
! [X0,X1] :
( ~ r1(sK19_skl,sK23_skl(sK19_skl,sK0_skl))
| p3(sK22_skl(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X0))
| ~ r1(X1,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP3_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f9577]) ).
fof(f10002,plain,
! [X0,X1] :
( ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK19_skl,sK0_skl)
| p3(sK22_skl(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X0))
| ~ r1(X1,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP3_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f9579,f62]) ).
fof(f10003,plain,
! [X0,X1] :
( ~ r1(sK0_skl,sK19_skl)
| p3(sK22_skl(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X0))
| ~ r1(X1,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP3_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f10002]) ).
fof(f10004,plain,
! [X0,X1] :
( p3(sK22_skl(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X0))
| ~ r1(X1,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP3_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f10003,f39]) ).
fof(f10005,plain,
! [X0,X1] :
( ~ sP1_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X0)
| ~ r1(X1,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP3_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f10004,f54]) ).
fof(f10006,plain,
! [X0,X1] :
( ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| ~ r1(sK19_skl,sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK19_skl,sK0_skl)
| ~ r1(X1,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP3_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f10005,f8215]) ).
fof(f10007,plain,
! [X0,X1] :
( ~ r1(sK19_skl,sK23_skl(sK19_skl,sK0_skl))
| ~ r1(X1,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP3_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f10006]) ).
fof(f10008,plain,
! [X0,X1] :
( ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK19_skl,sK0_skl)
| ~ r1(X1,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP3_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f10007,f62]) ).
fof(f10009,plain,
! [X0,X1] :
( ~ r1(sK0_skl,sK19_skl)
| ~ r1(X1,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP3_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f10008]) ).
fof(f10010,plain,
! [X0,X1] :
( ~ r1(X1,sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP3_prd(sK7_skl(X0,sK23_skl(sK19_skl,sK0_skl),sK19_skl),X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f10009,f39]) ).
fof(f10017,plain,
( p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| sP2_prd(sK19_skl,sK0_skl)
| sP3_prd(sK7_skl(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f10010,f8519]) ).
fof(f10036,plain,
( p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| sP3_prd(sK7_skl(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| ~ r1(sK23_skl(sK19_skl,sK0_skl),sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f10017]) ).
fof(f10037,plain,
( p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| sP3_prd(sK7_skl(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f10036,f5923]) ).
fof(f10057,plain,
( p2(sK7_skl(sK9_skl(sK23_skl(sK19_skl,sK0_skl),sK19_skl),sK23_skl(sK19_skl,sK0_skl),sK19_skl))
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f10037,f70]) ).
fof(f10479,plain,
! [X0,X1,X2] :
( p2(X2)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X2)
| p2(X1)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X1)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f8789,f10057]) ).
fof(f10506,plain,
! [X0] :
( ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f10479,f75]) ).
fof(f10555,plain,
! [X0] :
( ~ r1(sK0_skl,sK19_skl)
| p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f10506]) ).
fof(f10556,plain,
! [X0] :
( p2(X0)
| ~ r1(sK23_skl(sK19_skl,sK0_skl),X0)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f10555,f39]) ).
fof(f10595,plain,
( ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK19_skl,sK0_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f10556,f75]) ).
fof(f10611,plain,
( ~ r1(sK0_skl,sK19_skl)
| p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f10595]) ).
fof(f10612,plain,
( p2(sK20_skl(sK23_skl(sK19_skl,sK0_skl)))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f10611,f39]) ).
fof(f10615,plain,
( ~ r1(sK19_skl,sK23_skl(sK19_skl,sK0_skl))
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f10612,f41]) ).
fof(f10620,plain,
( ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK19_skl,sK0_skl)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f10615,f62]) ).
fof(f10621,plain,
( ~ r1(sK0_skl,sK19_skl)
| sP2_prd(sK19_skl,sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f10620]) ).
fof(f10622,plain,
sP2_prd(sK19_skl,sK0_skl),
inference(forward_subsumption_resolution,[status(thm)],[f10621,f39]) ).
fof(f10623,plain,
! [X0] :
( ~ p2(X0)
| ~ r1(sK19_skl,X0) ),
inference(resolution,[status(thm)],[f10622,f61]) ).
fof(f10631,plain,
~ p2(sK13_skl(sK19_skl)),
inference(resolution,[status(thm)],[f10623,f172]) ).
fof(f10633,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f10631,f173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL652+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 % Computer : n008.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 00:46:55 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.48 % Drodi V4.1.1
% 245.12/32.92 % Refutation found
% 245.12/32.92 % SZS status Theorem for theBenchmark: Theorem is valid
% 245.12/32.92 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 17.69/33.86 % Elapsed time: 33.373636 seconds
% 17.69/33.86 % CPU time: 257.946817 seconds
% 17.69/33.86 % Total memory used: 342.863 MB
% 17.69/33.86 % Net memory used: 292.954 MB
%------------------------------------------------------------------------------