%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL641+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 01:10:26 PM UTC 2026
% Result : CounterSatisfiable 0.12s 0.44s
% Output : Saturation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X] :
~ ( ~ ~ ! [Y] :
( ! [X] :
( ~ ! [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)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ( ( ~ ! [Y] :
( ~ ! [X] :
( ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ~ ! [Y] :
( ~ p1(Y)
| ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| p1(X)
| ~ 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] :
( p1(Y)
| ~ r1(X,Y) ) )
& ( ~ ! [Y] :
( ~ ! [X] :
( ~ ( ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) ) )
| ! [Y] :
( ~ p1(Y)
| ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ p1(Y)
| ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p1(Y)
| ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ? [X] :
~ ( ~ ~ ! [Y] :
( ! [X] :
( ~ ! [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)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ( ( ~ ! [Y] :
( ~ ! [X] :
( ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ~ ! [Y] :
( ~ p1(Y)
| ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| p1(X)
| ~ 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] :
( p1(Y)
| ~ r1(X,Y) ) )
& ( ~ ! [Y] :
( ~ ! [X] :
( ~ ( ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) ) )
| ! [Y] :
( ~ p1(Y)
| ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ p1(Y)
| ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p1(Y)
| ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X] :
( ? [Y] :
( ? [X] :
( ! [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)
& r1(Y,X) )
& r1(X,Y) )
& ! [Y] :
( ! [X] :
( ( ( ? [Y] :
( ! [X] :
( ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
& ~ p1(Y)
& r1(X,Y) )
| ! [Y] :
( ! [X] :
( ? [Y] :
( p1(Y)
& ? [X] :
( ~ p1(X)
& r1(Y,X) )
& r1(X,Y) )
| p1(X)
| ~ 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] :
( p1(Y)
| ~ r1(X,Y) ) )
& ( ? [Y] :
( ! [X] :
( ( p1(X)
& ? [Y] :
( ~ p1(Y)
& r1(X,Y) ) )
| ! [Y] :
( ~ p1(Y)
| ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
& p1(Y)
& ? [X] :
( ~ p1(X)
& r1(Y,X) )
& r1(X,Y) )
| ! [Y] :
( ? [X] :
( p1(X)
& ? [Y] :
( ~ p1(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p1(Y)
| ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,definition,
! [Y,X] :
( sP0_prd(X,Y)
<=> ( p1(X)
& ? [Y] :
( ~ p1(Y)
& r1(X,Y) )
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f5,definition,
! [Y,X] :
( sP1_prd(X,Y)
<=> ( ~ p1(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f6,definition,
! [X,Y] :
( sP2_prd(Y,X)
<=> ( p1(Y)
& ? [X] :
( ~ p1(X)
& r1(Y,X) )
& r1(X,Y) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f7,plain,
? [X] :
( ? [Y] :
( ? [X] :
( ! [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)
& r1(Y,X) )
& r1(X,Y) )
& ! [Y] :
( ! [X] :
( ( ( ? [Y] :
( ! [X] :
( ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
& ~ p1(Y)
& r1(X,Y) )
| ! [Y] :
( ! [X] :
( ? [Y] : sP2_prd(Y,X)
| p1(X)
| ~ 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] : sP1_prd(X,Y)
| ~ r1(X,Y) )
| p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) ) )
& ( ? [Y] :
( ! [X] :
( ( p1(X)
& ? [Y] :
( ~ p1(Y)
& r1(X,Y) ) )
| ! [Y] :
( ~ p1(Y)
| ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
& p1(Y)
& ? [X] :
( ~ p1(X)
& r1(Y,X) )
& r1(X,Y) )
| ! [Y] :
( ? [X] : sP0_prd(X,Y)
| ~ r1(X,Y) )
| ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p1(Y)
| ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
inference(formula_renaming,[status(thm)],[f3,f6,f5,f4]) ).
fof(f8,plain,
( ! [Y] :
( ( p1(sK13_skl(Y))
& ~ p1(sK14_skl(Y))
& r1(sK13_skl(Y),sK14_skl(Y))
& r1(Y,sK13_skl(Y)) )
| p1(Y)
| ~ r1(sK11_skl,Y) )
& ! [X] :
( p1(X)
| ~ r1(sK12_skl,X) )
& r1(sK11_skl,sK12_skl)
& ~ p1(sK11_skl)
& r1(sK10_skl,sK11_skl)
& r1(sK0_skl,sK10_skl)
& ! [Y] :
( ! [X] :
( ( ( ( ! [X] :
( ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(sK9_skl(X,Y),X) )
& ~ p1(sK9_skl(X,Y))
& r1(X,sK9_skl(X,Y)) )
| ! [Y] :
( ! [X] :
( sP2_prd(sK8_skl(X,Y,X,Y),X)
| p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ! [Y] :
( ( ~ p1(sK7_skl(Y,X,Y))
& r1(Y,sK7_skl(Y,X,Y)) )
| ! [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ( ( ! [X] :
( ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(sK6_skl(X,Y),X) )
& ~ p1(sK6_skl(X,Y))
& r1(X,sK6_skl(X,Y)) )
| ! [Y] :
( sP1_prd(sK5_skl(Y,X,Y),Y)
| ~ r1(X,Y) )
| p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) ) )
& ( ( ! [X] :
( ( p1(X)
& ~ p1(sK4_skl(X,X,Y))
& r1(X,sK4_skl(X,X,Y)) )
| ! [Y] :
( ~ p1(Y)
| ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(sK2_skl(X,Y),X) )
& p1(sK2_skl(X,Y))
& ~ p1(sK3_skl(X,Y))
& r1(sK2_skl(X,Y),sK3_skl(X,Y))
& r1(X,sK2_skl(X,Y)) )
| ! [Y] :
( sP0_prd(sK1_skl(Y,X,Y),Y)
| ~ r1(X,Y) )
| ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p1(Y)
| ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl,sK11_skl,sK12_skl,sK13_skl,sK14_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl(Y,X,Y)),skolemize(Y,sK2_skl(X,Y)),skolemize(X,sK3_skl(X,Y)),skolemize(Y,sK4_skl(X,X,Y)),skolemize(X,sK5_skl(Y,X,Y)),skolemize(Y,sK6_skl(X,Y)),skolemize(X,sK7_skl(Y,X,Y)),skolemize(Y,sK8_skl(X,Y,X,Y)),skolemize(Y,sK9_skl(X,Y)),skolemize(Y,sK10_skl),skolemize(X,sK11_skl),skolemize(Y,sK12_skl),skolemize(X,sK13_skl(Y)),skolemize(Y,sK14_skl(Y))],[f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4,X5] :
( r1(X1,sK2_skl(X1,X0))
| sP0_prd(sK1_skl(X5,X1,X0),X5)
| ~ r1(X1,X5)
| ~ p1(X1)
| p1(X4)
| ~ r1(X1,X4)
| ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4,X5] :
( r1(sK2_skl(X1,X0),sK3_skl(X1,X0))
| sP0_prd(sK1_skl(X5,X1,X0),X5)
| ~ r1(X1,X5)
| ~ p1(X1)
| p1(X4)
| ~ r1(X1,X4)
| ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p1(sK3_skl(X1,X0))
| sP0_prd(sK1_skl(X5,X1,X0),X5)
| ~ r1(X1,X5)
| ~ p1(X1)
| p1(X4)
| ~ r1(X1,X4)
| ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4,X5] :
( p1(sK2_skl(X1,X0))
| sP0_prd(sK1_skl(X5,X1,X0),X5)
| ~ r1(X1,X5)
| ~ p1(X1)
| p1(X4)
| ~ r1(X1,X4)
| ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( r1(X6,sK4_skl(X6,X1,X0))
| ~ p1(X7)
| p1(X8)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(sK2_skl(X1,X0),X6)
| sP0_prd(sK1_skl(X5,X1,X0),X5)
| ~ r1(X1,X5)
| ~ p1(X1)
| p1(X4)
| ~ r1(X1,X4)
| ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ p1(sK4_skl(X6,X1,X0))
| ~ p1(X7)
| p1(X8)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(sK2_skl(X1,X0),X6)
| sP0_prd(sK1_skl(X5,X1,X0),X5)
| ~ r1(X1,X5)
| ~ p1(X1)
| p1(X4)
| ~ r1(X1,X4)
| ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( p1(X6)
| ~ p1(X7)
| p1(X8)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(sK2_skl(X1,X0),X6)
| sP0_prd(sK1_skl(X5,X1,X0),X5)
| ~ r1(X1,X5)
| ~ p1(X1)
| p1(X4)
| ~ r1(X1,X4)
| ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f16,plain,
! [X0,X1,X2,X3] :
( r1(X1,sK6_skl(X1,X0))
| sP1_prd(sK5_skl(X3,X1,X0),X3)
| ~ r1(X1,X3)
| p1(X1)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f17,plain,
! [X0,X1,X2,X3] :
( ~ p1(sK6_skl(X1,X0))
| sP1_prd(sK5_skl(X3,X1,X0),X3)
| ~ r1(X1,X3)
| p1(X1)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p1(X4)
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(sK6_skl(X1,X0),X4)
| sP1_prd(sK5_skl(X3,X1,X0),X3)
| ~ r1(X1,X3)
| p1(X1)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f19,plain,
! [X0,X1,X2,X3,X4] :
( r1(X2,sK7_skl(X2,X1,X0))
| p1(X4)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4] :
( ~ p1(sK7_skl(X2,X1,X0))
| p1(X4)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f21,plain,
! [X0,X1,X2,X3] :
( r1(X1,sK9_skl(X1,X0))
| sP2_prd(sK8_skl(X3,X2,X1,X0),X3)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f22,plain,
! [X0,X1,X2,X3] :
( ~ p1(sK9_skl(X1,X0))
| sP2_prd(sK8_skl(X3,X2,X1,X0),X3)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p1(X4)
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(sK9_skl(X1,X0),X4)
| sP2_prd(sK8_skl(X3,X2,X1,X0),X3)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f24,plain,
r1(sK0_skl,sK10_skl),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f25,plain,
r1(sK10_skl,sK11_skl),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f26,plain,
~ p1(sK11_skl),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f27,plain,
r1(sK11_skl,sK12_skl),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f28,plain,
! [X0] :
( p1(X0)
| ~ r1(sK12_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f29,plain,
! [X0] :
( r1(X0,sK13_skl(X0))
| p1(X0)
| ~ r1(sK11_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f30,plain,
! [X0] :
( r1(sK13_skl(X0),sK14_skl(X0))
| p1(X0)
| ~ r1(sK11_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f31,plain,
! [X0] :
( ~ p1(sK14_skl(X0))
| p1(X0)
| ~ r1(sK11_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f32,plain,
! [X0] :
( p1(sK13_skl(X0))
| p1(X0)
| ~ r1(sK11_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f33,plain,
! [Y,X] :
( ( ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP0_prd(X,Y) )
& ( ( p1(X)
& ? [Y] :
( ~ p1(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP0_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f34,plain,
( ! [Y,X] :
( ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP0_prd(X,Y) )
& ! [Y,X] :
( ( p1(X)
& ? [Y] :
( ~ p1(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP0_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f35,plain,
( ! [Y,X] :
( ~ p1(X)
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP0_prd(X,Y) )
& ! [Y,X] :
( ( p1(X)
& ~ p1(sK15_skl(X,Y))
& r1(X,sK15_skl(X,Y))
& r1(Y,X) )
| ~ sP0_prd(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(Y,sK15_skl(X,Y))],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( r1(X0,sK15_skl(X0,X1))
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f38,plain,
! [X0,X1] :
( ~ p1(sK15_skl(X0,X1))
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f39,plain,
! [X0,X1] :
( p1(X0)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ~ p1(X0)
| p1(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f41,plain,
! [Y,X] :
( ( p1(X)
| ~ r1(Y,X)
| sP1_prd(X,Y) )
& ( ( ~ p1(X)
& r1(Y,X) )
| ~ sP1_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f42,plain,
( ! [Y,X] :
( p1(X)
| ~ r1(Y,X)
| sP1_prd(X,Y) )
& ! [Y,X] :
( ( ~ p1(X)
& r1(Y,X) )
| ~ sP1_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( ~ p1(X0)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f45,plain,
! [X0,X1] :
( p1(X0)
| ~ r1(X1,X0)
| sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f46,plain,
! [X,Y] :
( ( ~ p1(Y)
| ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y)
| sP2_prd(Y,X) )
& ( ( p1(Y)
& ? [X] :
( ~ p1(X)
& r1(Y,X) )
& r1(X,Y) )
| ~ sP2_prd(Y,X) ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f47,plain,
( ! [X,Y] :
( ~ p1(Y)
| ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y)
| sP2_prd(Y,X) )
& ! [X,Y] :
( ( p1(Y)
& ? [X] :
( ~ p1(X)
& r1(Y,X) )
& r1(X,Y) )
| ~ sP2_prd(Y,X) ) ),
inference(miniscoping,[status(thm)],[f46]) ).
fof(f48,plain,
( ! [X,Y] :
( ~ p1(Y)
| ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y)
| sP2_prd(Y,X) )
& ! [X,Y] :
( ( p1(Y)
& ~ p1(sK16_skl(Y,X))
& r1(Y,sK16_skl(Y,X))
& r1(X,Y) )
| ~ sP2_prd(Y,X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16_skl]),skolemize(X,sK16_skl(Y,X))],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
! [X0,X1] :
( r1(X0,sK16_skl(X0,X1))
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f51,plain,
! [X0,X1] :
( ~ p1(sK16_skl(X0,X1))
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f52,plain,
! [X0,X1] :
( p1(X0)
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ p1(X0)
| p1(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ~ p1(sK7_skl(sK0_skl,X1,X0))
| p1(X2)
| ~ r1(sK10_skl,X2)
| ~ r1(X1,sK0_skl)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f24,f20]) ).
fof(f55,definition,
! [X0,X1] :
( sQ0_spl
<=> ( ~ p1(sK7_skl(sK0_skl,X1,X0))
| ~ r1(X1,sK0_skl)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f56,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ p1(sK7_skl(sK0_skl,X1,X0))
| ~ r1(X1,sK0_skl)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f55]) ).
fof(f58,definition,
! [X2] :
( sQ1_spl
<=> ( p1(X2)
| ~ r1(sK10_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f59,plain,
! [X0] :
( ~ sQ1_spl
| p1(X0)
| ~ r1(sK10_skl,X0) ),
inference(component_clause,[status(thm)],[f58]) ).
fof(f61,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f54,f55,f58]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ p1(sK7_skl(sK10_skl,X1,X0))
| p1(X2)
| ~ r1(sK11_skl,X2)
| ~ r1(X1,sK10_skl)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f25,f20]) ).
fof(f63,definition,
! [X0,X1] :
( sQ2_spl
<=> ( ~ p1(sK7_skl(sK10_skl,X1,X0))
| ~ r1(X1,sK10_skl)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f64,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ p1(sK7_skl(sK10_skl,X1,X0))
| ~ r1(X1,sK10_skl)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f63]) ).
fof(f66,definition,
! [X2] :
( sQ3_spl
<=> ( p1(X2)
| ~ r1(sK11_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f67,plain,
! [X0] :
( ~ sQ3_spl
| p1(X0)
| ~ r1(sK11_skl,X0) ),
inference(component_clause,[status(thm)],[f66]) ).
fof(f69,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f62,f63,f66]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ p1(sK7_skl(sK11_skl,X1,X0))
| p1(X2)
| ~ r1(sK12_skl,X2)
| ~ r1(X1,sK11_skl)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f27,f20]) ).
fof(f71,definition,
! [X0,X1] :
( sQ4_spl
<=> ( ~ p1(sK7_skl(sK11_skl,X1,X0))
| ~ r1(X1,sK11_skl)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f72,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ p1(sK7_skl(sK11_skl,X1,X0))
| ~ r1(X1,sK11_skl)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f74,definition,
! [X2] :
( sQ5_spl
<=> ( p1(X2)
| ~ r1(sK12_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f77,plain,
( sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f70,f71,f74]) ).
fof(f78,plain,
( p1(sK12_skl)
| sP1_prd(sK12_skl,sK11_skl) ),
inference(resolution,[status(thm)],[f45,f27]) ).
fof(f79,plain,
( p1(sK11_skl)
| sP1_prd(sK11_skl,sK10_skl) ),
inference(resolution,[status(thm)],[f45,f25]) ).
fof(f80,plain,
( p1(sK10_skl)
| sP1_prd(sK10_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f45,f24]) ).
fof(f81,definition,
( sQ6_spl
<=> sP1_prd(sK12_skl,sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( ~ sQ6_spl
| sP1_prd(sK12_skl,sK11_skl) ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,definition,
( sQ7_spl
<=> p1(sK12_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f85,plain,
( ~ sQ7_spl
| p1(sK12_skl) ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,plain,
( sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f78,f81,f84]) ).
fof(f88,definition,
( sQ8_spl
<=> sP1_prd(sK11_skl,sK10_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f89,plain,
( ~ sQ8_spl
| sP1_prd(sK11_skl,sK10_skl) ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,definition,
( sQ9_spl
<=> p1(sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f92,plain,
( ~ sQ9_spl
| p1(sK11_skl) ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f94,plain,
( sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f79,f88,f91]) ).
fof(f95,definition,
( sQ10_spl
<=> sP1_prd(sK10_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f96,plain,
( ~ sQ10_spl
| sP1_prd(sK10_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,definition,
( sQ11_spl
<=> p1(sK10_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( ~ sQ11_spl
| p1(sK10_skl) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f100,plain,
( sQ11_spl
| ~ p1(sK10_skl) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,plain,
( sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f80,f95,f98]) ).
fof(f102,plain,
( p1(sK13_skl(sK12_skl))
| p1(sK12_skl) ),
inference(resolution,[status(thm)],[f32,f27]) ).
fof(f103,definition,
( sQ12_spl
<=> p1(sK13_skl(sK12_skl)) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f104,plain,
( ~ sQ12_spl
| p1(sK13_skl(sK12_skl)) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,plain,
( sQ12_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f102,f84,f103]) ).
fof(f107,plain,
( r1(sK12_skl,sK13_skl(sK12_skl))
| p1(sK12_skl) ),
inference(resolution,[status(thm)],[f29,f27]) ).
fof(f108,definition,
( sQ13_spl
<=> r1(sK12_skl,sK13_skl(sK12_skl)) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( ~ sQ13_spl
| r1(sK12_skl,sK13_skl(sK12_skl)) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,plain,
( sQ13_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f107,f84,f108]) ).
fof(f112,plain,
( r1(sK13_skl(sK12_skl),sK14_skl(sK12_skl))
| p1(sK12_skl) ),
inference(resolution,[status(thm)],[f30,f27]) ).
fof(f113,definition,
( sQ14_spl
<=> r1(sK13_skl(sK12_skl),sK14_skl(sK12_skl)) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( ~ sQ14_spl
| r1(sK13_skl(sK12_skl),sK14_skl(sK12_skl)) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,plain,
( sQ14_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f112,f84,f113]) ).
fof(f117,plain,
! [X0,X1,X2,X3,X4] :
( r1(X0,sK2_skl(X0,sK10_skl))
| sP0_prd(sK1_skl(X4,X0,sK10_skl),X4)
| ~ r1(X0,X4)
| ~ p1(X0)
| p1(X3)
| ~ r1(X0,X3)
| ~ p1(X1)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK10_skl,X0) ),
inference(resolution,[status(thm)],[f9,f24]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4] :
( r1(sK2_skl(X0,sK10_skl),sK3_skl(X0,sK10_skl))
| sP0_prd(sK1_skl(X4,X0,sK10_skl),X4)
| ~ r1(X0,X4)
| ~ p1(X0)
| p1(X3)
| ~ r1(X0,X3)
| ~ p1(X1)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK10_skl,X0) ),
inference(resolution,[status(thm)],[f10,f24]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( ~ p1(sK3_skl(sK0_skl,X0))
| sP0_prd(sK1_skl(X3,sK0_skl,X0),X3)
| ~ r1(sK0_skl,X3)
| ~ p1(sK0_skl)
| p1(X2)
| ~ r1(sK0_skl,X2)
| ~ p1(sK10_skl)
| p1(X1)
| ~ r1(sK10_skl,X1)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f11,f24]) ).
fof(f130,definition,
! [X0,X3] :
( sQ17_spl
<=> ( ~ p1(sK3_skl(sK0_skl,X0))
| sP0_prd(sK1_skl(X3,sK0_skl,X0),X3)
| ~ r1(sK0_skl,X3)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f133,definition,
! [X2] :
( sQ18_spl
<=> ( p1(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f136,definition,
( sQ19_spl
<=> p1(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ19_spl
| p1(sK0_skl) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,plain,
( ~ sQ19_spl
| sQ18_spl
| ~ sQ11_spl
| sQ1_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f121,f130,f58,f98,f133,f136]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4] :
( p1(sK2_skl(X0,sK10_skl))
| sP0_prd(sK1_skl(X4,X0,sK10_skl),X4)
| ~ r1(X0,X4)
| ~ p1(X0)
| p1(X3)
| ~ r1(X0,X3)
| ~ p1(X1)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK10_skl,X0) ),
inference(resolution,[status(thm)],[f12,f24]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( r1(X4,sK4_skl(X4,sK0_skl,X0))
| ~ p1(X5)
| p1(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(sK2_skl(sK0_skl,X0),X4)
| sP0_prd(sK1_skl(X3,sK0_skl,X0),X3)
| ~ r1(sK0_skl,X3)
| ~ p1(sK0_skl)
| p1(X2)
| ~ r1(sK0_skl,X2)
| ~ p1(sK10_skl)
| p1(X1)
| ~ r1(sK10_skl,X1)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f13,f24]) ).
fof(f152,definition,
! [X0,X3,X4,X5,X6] :
( sQ22_spl
<=> ( r1(X4,sK4_skl(X4,sK0_skl,X0))
| ~ p1(X5)
| p1(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(sK2_skl(sK0_skl,X0),X4)
| sP0_prd(sK1_skl(X3,sK0_skl,X0),X3)
| ~ r1(sK0_skl,X3)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f155,plain,
( ~ sQ19_spl
| sQ18_spl
| ~ sQ11_spl
| sQ1_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f143,f152,f58,f98,f133,f136]) ).
fof(f156,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f92,f26]) ).
fof(f157,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f156]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p1(sK4_skl(X4,sK11_skl,X0))
| ~ p1(X5)
| p1(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(sK2_skl(sK11_skl,X0),X4)
| sP0_prd(sK1_skl(X3,sK11_skl,X0),X3)
| ~ r1(sK11_skl,X3)
| ~ p1(sK11_skl)
| p1(X2)
| ~ r1(sK11_skl,X2)
| ~ p1(sK12_skl)
| p1(X1)
| ~ r1(sK12_skl,X1)
| ~ r1(X0,sK11_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f14,f27]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p1(sK4_skl(X4,sK10_skl,X0))
| ~ p1(X5)
| p1(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(sK2_skl(sK10_skl,X0),X4)
| sP0_prd(sK1_skl(X3,sK10_skl,X0),X3)
| ~ r1(sK10_skl,X3)
| ~ p1(sK10_skl)
| p1(X2)
| ~ r1(sK10_skl,X2)
| ~ p1(sK11_skl)
| p1(X1)
| ~ r1(sK11_skl,X1)
| ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f14,f25]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p1(sK4_skl(X4,sK0_skl,X0))
| ~ p1(X5)
| p1(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(sK2_skl(sK0_skl,X0),X4)
| sP0_prd(sK1_skl(X3,sK0_skl,X0),X3)
| ~ r1(sK0_skl,X3)
| ~ p1(sK0_skl)
| p1(X2)
| ~ r1(sK0_skl,X2)
| ~ p1(sK10_skl)
| p1(X1)
| ~ r1(sK10_skl,X1)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f14,f24]) ).
fof(f161,definition,
! [X0,X3,X4,X5,X6] :
( sQ23_spl
<=> ( ~ p1(sK4_skl(X4,sK11_skl,X0))
| ~ p1(X5)
| p1(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(sK2_skl(sK11_skl,X0),X4)
| sP0_prd(sK1_skl(X3,sK11_skl,X0),X3)
| ~ r1(sK11_skl,X3)
| ~ r1(X0,sK11_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f164,plain,
( ~ sQ9_spl
| sQ3_spl
| ~ sQ7_spl
| sQ5_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f158,f161,f74,f84,f66,f91]) ).
fof(f165,definition,
! [X0,X3,X4,X5,X6] :
( sQ24_spl
<=> ( ~ p1(sK4_skl(X4,sK10_skl,X0))
| ~ p1(X5)
| p1(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(sK2_skl(sK10_skl,X0),X4)
| sP0_prd(sK1_skl(X3,sK10_skl,X0),X3)
| ~ r1(sK10_skl,X3)
| ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f168,plain,
( ~ sQ11_spl
| sQ1_spl
| ~ sQ9_spl
| sQ3_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f159,f165,f66,f91,f58,f98]) ).
fof(f169,definition,
! [X0,X3,X4,X5,X6] :
( sQ25_spl
<=> ( ~ p1(sK4_skl(X4,sK0_skl,X0))
| ~ p1(X5)
| p1(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(sK2_skl(sK0_skl,X0),X4)
| sP0_prd(sK1_skl(X3,sK0_skl,X0),X3)
| ~ r1(sK0_skl,X3)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f172,plain,
( ~ sQ19_spl
| sQ18_spl
| ~ sQ11_spl
| sQ1_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f160,f169,f58,f98,f133,f136]) ).
fof(f173,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( p1(X4)
| ~ p1(X5)
| p1(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(sK2_skl(sK11_skl,X0),X4)
| sP0_prd(sK1_skl(X3,sK11_skl,X0),X3)
| ~ r1(sK11_skl,X3)
| ~ p1(sK11_skl)
| p1(X2)
| ~ r1(sK11_skl,X2)
| ~ p1(sK12_skl)
| p1(X1)
| ~ r1(sK12_skl,X1)
| ~ r1(X0,sK11_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f15,f27]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( p1(X4)
| ~ p1(X5)
| p1(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(sK2_skl(sK10_skl,X0),X4)
| sP0_prd(sK1_skl(X3,sK10_skl,X0),X3)
| ~ r1(sK10_skl,X3)
| ~ p1(sK10_skl)
| p1(X2)
| ~ r1(sK10_skl,X2)
| ~ p1(sK11_skl)
| p1(X1)
| ~ r1(sK11_skl,X1)
| ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f15,f25]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( p1(X4)
| ~ p1(X5)
| p1(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(sK2_skl(sK0_skl,X0),X4)
| sP0_prd(sK1_skl(X3,sK0_skl,X0),X3)
| ~ r1(sK0_skl,X3)
| ~ p1(sK0_skl)
| p1(X2)
| ~ r1(sK0_skl,X2)
| ~ p1(sK10_skl)
| p1(X1)
| ~ r1(sK10_skl,X1)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f15,f24]) ).
fof(f176,definition,
! [X0,X3,X4,X5,X6] :
( sQ26_spl
<=> ( p1(X4)
| ~ p1(X5)
| p1(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(sK2_skl(sK11_skl,X0),X4)
| sP0_prd(sK1_skl(X3,sK11_skl,X0),X3)
| ~ r1(sK11_skl,X3)
| ~ r1(X0,sK11_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( ~ sQ9_spl
| sQ3_spl
| ~ sQ7_spl
| sQ5_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f173,f176,f74,f84,f66,f91]) ).
fof(f180,definition,
! [X0,X3,X4,X5,X6] :
( sQ27_spl
<=> ( p1(X4)
| ~ p1(X5)
| p1(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(sK2_skl(sK10_skl,X0),X4)
| sP0_prd(sK1_skl(X3,sK10_skl,X0),X3)
| ~ r1(sK10_skl,X3)
| ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( ~ sQ11_spl
| sQ1_spl
| ~ sQ9_spl
| sQ3_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f174,f180,f66,f91,f58,f98]) ).
fof(f184,definition,
! [X0,X3,X4,X5,X6] :
( sQ28_spl
<=> ( p1(X4)
| ~ p1(X5)
| p1(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(sK2_skl(sK0_skl,X0),X4)
| sP0_prd(sK1_skl(X3,sK0_skl,X0),X3)
| ~ r1(sK0_skl,X3)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ19_spl
| sQ18_spl
| ~ sQ11_spl
| sQ1_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f175,f184,f58,f98,f133,f136]) ).
fof(f188,plain,
! [X0,X1,X2] :
( r1(X0,sK6_skl(X0,sK10_skl))
| sP1_prd(sK5_skl(X2,X0,sK10_skl),X2)
| ~ r1(X0,X2)
| p1(X0)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK10_skl,X0) ),
inference(resolution,[status(thm)],[f16,f24]) ).
fof(f189,plain,
! [X0] :
( ~ p1(sK12_skl)
| p1(X0)
| ~ r1(sK12_skl,X0)
| sP0_prd(sK12_skl,sK11_skl) ),
inference(resolution,[status(thm)],[f40,f27]) ).
fof(f190,plain,
! [X0] :
( ~ p1(sK11_skl)
| p1(X0)
| ~ r1(sK11_skl,X0)
| sP0_prd(sK11_skl,sK10_skl) ),
inference(resolution,[status(thm)],[f40,f25]) ).
fof(f191,plain,
! [X0] :
( ~ p1(sK10_skl)
| p1(X0)
| ~ r1(sK10_skl,X0)
| sP0_prd(sK10_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f40,f24]) ).
fof(f192,definition,
( sQ29_spl
<=> sP0_prd(sK12_skl,sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ7_spl
| sQ5_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f189,f192,f74,f84]) ).
fof(f196,definition,
( sQ30_spl
<=> sP0_prd(sK11_skl,sK10_skl) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( ~ sQ9_spl
| sQ3_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f190,f196,f66,f91]) ).
fof(f200,definition,
( sQ31_spl
<=> sP0_prd(sK10_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( ~ sQ11_spl
| sQ1_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f191,f200,f58,f98]) ).
fof(f204,plain,
! [X0] :
( ~ p1(sK12_skl)
| p1(X0)
| ~ r1(sK12_skl,X0)
| sP2_prd(sK12_skl,sK11_skl) ),
inference(resolution,[status(thm)],[f53,f27]) ).
fof(f205,plain,
! [X0] :
( ~ p1(sK11_skl)
| p1(X0)
| ~ r1(sK11_skl,X0)
| sP2_prd(sK11_skl,sK10_skl) ),
inference(resolution,[status(thm)],[f53,f25]) ).
fof(f206,plain,
! [X0] :
( ~ p1(sK10_skl)
| p1(X0)
| ~ r1(sK10_skl,X0)
| sP2_prd(sK10_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f53,f24]) ).
fof(f207,definition,
( sQ32_spl
<=> sP2_prd(sK12_skl,sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( ~ sQ7_spl
| sQ5_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f204,f207,f74,f84]) ).
fof(f211,definition,
( sQ33_spl
<=> sP2_prd(sK11_skl,sK10_skl) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ9_spl
| sQ3_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f205,f211,f66,f91]) ).
fof(f215,definition,
( sQ34_spl
<=> sP2_prd(sK10_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ11_spl
| sQ1_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f206,f215,f58,f98]) ).
fof(f219,plain,
! [X0,X1,X2,X3] :
( r1(X1,sK7_skl(X1,X0,sK10_skl))
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK10_skl,X0) ),
inference(resolution,[status(thm)],[f19,f24]) ).
fof(f220,plain,
! [X0,X1,X2] :
( r1(X0,sK7_skl(X0,sK11_skl,sK10_skl))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ),
inference(resolution,[status(thm)],[f219,f25]) ).
fof(f221,plain,
! [X0,X1] :
( r1(sK12_skl,sK7_skl(sK12_skl,sK11_skl,sK10_skl))
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK12_skl,X0) ),
inference(resolution,[status(thm)],[f220,f27]) ).
fof(f222,definition,
! [X0,X1] :
( sQ35_spl
<=> ( p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK12_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f223,plain,
! [X0,X1] :
( ~ sQ35_spl
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK12_skl,X0) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,definition,
( sQ36_spl
<=> r1(sK12_skl,sK7_skl(sK12_skl,sK11_skl,sK10_skl)) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f221,f222,f225]) ).
fof(f230,plain,
! [X0,X1] :
( ~ p1(sK9_skl(sK10_skl,X0))
| sP2_prd(sK8_skl(X1,sK11_skl,sK10_skl,X0),X1)
| p1(X1)
| ~ r1(sK11_skl,X1)
| ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f22,f25]) ).
fof(f231,plain,
! [X0,X1] :
( ~ p1(sK9_skl(sK0_skl,X0))
| sP2_prd(sK8_skl(X1,sK10_skl,sK0_skl,X0),X1)
| p1(X1)
| ~ r1(sK10_skl,X1)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f22,f24]) ).
fof(f232,plain,
! [X0,X1,X2] :
( r1(X0,sK9_skl(X0,sK10_skl))
| sP2_prd(sK8_skl(X2,X1,X0,sK10_skl),X2)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK10_skl,X0) ),
inference(resolution,[status(thm)],[f21,f24]) ).
fof(f233,plain,
! [X0,X1] :
( r1(sK11_skl,sK9_skl(sK11_skl,sK10_skl))
| sP2_prd(sK8_skl(X1,X0,sK11_skl,sK10_skl),X1)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ),
inference(resolution,[status(thm)],[f232,f25]) ).
fof(f234,definition,
! [X0,X1] :
( sQ37_spl
<=> ( sP2_prd(sK8_skl(X1,X0,sK11_skl,sK10_skl),X1)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f235,plain,
! [X0,X1] :
( ~ sQ37_spl
| sP2_prd(sK8_skl(X1,X0,sK11_skl,sK10_skl),X1)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,definition,
( sQ38_spl
<=> r1(sK11_skl,sK9_skl(sK11_skl,sK10_skl)) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( sQ38_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f233,f234,f237]) ).
fof(f241,plain,
! [X0,X1] :
( ~ p1(sK6_skl(sK11_skl,X0))
| sP1_prd(sK5_skl(X1,sK11_skl,X0),X1)
| ~ r1(sK11_skl,X1)
| p1(sK11_skl)
| p1(sK12_skl)
| ~ r1(X0,sK11_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f17,f27]) ).
fof(f242,plain,
! [X0,X1] :
( ~ p1(sK6_skl(sK10_skl,X0))
| sP1_prd(sK5_skl(X1,sK10_skl,X0),X1)
| ~ r1(sK10_skl,X1)
| p1(sK10_skl)
| p1(sK11_skl)
| ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f17,f25]) ).
fof(f243,plain,
! [X0,X1] :
( ~ p1(sK6_skl(sK0_skl,X0))
| sP1_prd(sK5_skl(X1,sK0_skl,X0),X1)
| ~ r1(sK0_skl,X1)
| p1(sK0_skl)
| p1(sK10_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f17,f24]) ).
fof(f244,definition,
! [X0,X1] :
( sQ39_spl
<=> ( ~ p1(sK6_skl(sK11_skl,X0))
| sP1_prd(sK5_skl(X1,sK11_skl,X0),X1)
| ~ r1(sK11_skl,X1)
| ~ r1(X0,sK11_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f245,plain,
! [X0,X1] :
( ~ sQ39_spl
| ~ p1(sK6_skl(sK11_skl,X0))
| sP1_prd(sK5_skl(X1,sK11_skl,X0),X1)
| ~ r1(sK11_skl,X1)
| ~ r1(X0,sK11_skl)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( sQ9_spl
| sQ7_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f241,f244,f84,f91]) ).
fof(f248,definition,
! [X0,X1] :
( sQ40_spl
<=> ( ~ p1(sK6_skl(sK10_skl,X0))
| sP1_prd(sK5_skl(X1,sK10_skl,X0),X1)
| ~ r1(sK10_skl,X1)
| ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f249,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ p1(sK6_skl(sK10_skl,X0))
| sP1_prd(sK5_skl(X1,sK10_skl,X0),X1)
| ~ r1(sK10_skl,X1)
| ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( sQ11_spl
| sQ9_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f242,f248,f91,f98]) ).
fof(f252,definition,
! [X0,X1] :
( sQ41_spl
<=> ( ~ p1(sK6_skl(sK0_skl,X0))
| sP1_prd(sK5_skl(X1,sK0_skl,X0),X1)
| ~ r1(sK0_skl,X1)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( sQ19_spl
| sQ11_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f243,f252,f98,f136]) ).
fof(f256,plain,
! [X0,X1,X2,X3] :
( ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(sK6_skl(sK11_skl,X0),X2)
| sP1_prd(sK5_skl(X1,sK11_skl,X0),X1)
| ~ r1(sK11_skl,X1)
| p1(sK11_skl)
| p1(sK12_skl)
| ~ r1(X0,sK11_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f18,f27]) ).
fof(f257,plain,
! [X0,X1,X2,X3] :
( ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(sK6_skl(sK10_skl,X0),X2)
| sP1_prd(sK5_skl(X1,sK10_skl,X0),X1)
| ~ r1(sK10_skl,X1)
| p1(sK10_skl)
| p1(sK11_skl)
| ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f18,f25]) ).
fof(f258,plain,
! [X0,X1,X2,X3] :
( ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(sK6_skl(sK0_skl,X0),X2)
| sP1_prd(sK5_skl(X1,sK0_skl,X0),X1)
| ~ r1(sK0_skl,X1)
| p1(sK0_skl)
| p1(sK10_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f18,f24]) ).
fof(f259,definition,
! [X0,X1,X2,X3] :
( sQ42_spl
<=> ( ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(sK6_skl(sK11_skl,X0),X2)
| sP1_prd(sK5_skl(X1,sK11_skl,X0),X1)
| ~ r1(sK11_skl,X1)
| ~ r1(X0,sK11_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f260,plain,
! [X0,X1,X2,X3] :
( ~ sQ42_spl
| ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(sK6_skl(sK11_skl,X0),X2)
| sP1_prd(sK5_skl(X1,sK11_skl,X0),X1)
| ~ r1(sK11_skl,X1)
| ~ r1(X0,sK11_skl)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,plain,
( sQ9_spl
| sQ7_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f256,f259,f84,f91]) ).
fof(f263,definition,
! [X0,X1,X2,X3] :
( sQ43_spl
<=> ( ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(sK6_skl(sK10_skl,X0),X2)
| sP1_prd(sK5_skl(X1,sK10_skl,X0),X1)
| ~ r1(sK10_skl,X1)
| ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f264,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(sK6_skl(sK10_skl,X0),X2)
| sP1_prd(sK5_skl(X1,sK10_skl,X0),X1)
| ~ r1(sK10_skl,X1)
| ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( sQ11_spl
| sQ9_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f257,f263,f91,f98]) ).
fof(f267,definition,
! [X0,X1,X2,X3] :
( sQ44_spl
<=> ( ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(sK6_skl(sK0_skl,X0),X2)
| sP1_prd(sK5_skl(X1,sK0_skl,X0),X1)
| ~ r1(sK0_skl,X1)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( sQ19_spl
| sQ11_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f258,f267,f98,f136]) ).
fof(f272,plain,
! [X0,X1,X2,X3] :
( ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(sK9_skl(sK10_skl,X0),X2)
| sP2_prd(sK8_skl(X1,sK11_skl,sK10_skl,X0),X1)
| p1(X1)
| ~ r1(sK11_skl,X1)
| ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f23,f25]) ).
fof(f273,plain,
! [X0,X1,X2,X3] :
( ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(sK9_skl(sK0_skl,X0),X2)
| sP2_prd(sK8_skl(X1,sK10_skl,sK0_skl,X0),X1)
| p1(X1)
| ~ r1(sK10_skl,X1)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f23,f24]) ).
fof(f274,plain,
! [X0,X1,X2,X3] :
( r1(sK11_skl,sK2_skl(sK11_skl,sK10_skl))
| sP0_prd(sK1_skl(X3,sK11_skl,sK10_skl),X3)
| ~ r1(sK11_skl,X3)
| ~ p1(sK11_skl)
| p1(X2)
| ~ r1(sK11_skl,X2)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ),
inference(resolution,[status(thm)],[f117,f25]) ).
fof(f275,definition,
! [X0,X1] :
( sQ45_spl
<=> ( ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f278,definition,
! [X3] :
( sQ46_spl
<=> ( sP0_prd(sK1_skl(X3,sK11_skl,sK10_skl),X3)
| ~ r1(sK11_skl,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f281,definition,
( sQ47_spl
<=> r1(sK11_skl,sK2_skl(sK11_skl,sK10_skl)) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( sQ47_spl
| sQ46_spl
| ~ sQ9_spl
| sQ3_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f274,f275,f66,f91,f278,f281]) ).
fof(f285,plain,
! [X0,X1,X2,X3] :
( r1(sK2_skl(sK11_skl,sK10_skl),sK3_skl(sK11_skl,sK10_skl))
| sP0_prd(sK1_skl(X3,sK11_skl,sK10_skl),X3)
| ~ r1(sK11_skl,X3)
| ~ p1(sK11_skl)
| p1(X2)
| ~ r1(sK11_skl,X2)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ),
inference(resolution,[status(thm)],[f118,f25]) ).
fof(f286,definition,
( sQ48_spl
<=> r1(sK2_skl(sK11_skl,sK10_skl),sK3_skl(sK11_skl,sK10_skl)) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( sQ48_spl
| sQ46_spl
| ~ sQ9_spl
| sQ3_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f285,f275,f66,f91,f278,f286]) ).
fof(f290,plain,
! [X0,X1,X2,X3] :
( p1(sK2_skl(sK11_skl,sK10_skl))
| sP0_prd(sK1_skl(X3,sK11_skl,sK10_skl),X3)
| ~ r1(sK11_skl,X3)
| ~ p1(sK11_skl)
| p1(X2)
| ~ r1(sK11_skl,X2)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ),
inference(resolution,[status(thm)],[f140,f25]) ).
fof(f291,definition,
( sQ49_spl
<=> p1(sK2_skl(sK11_skl,sK10_skl)) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f294,plain,
( sQ49_spl
| sQ46_spl
| ~ sQ9_spl
| sQ3_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f290,f275,f66,f91,f278,f291]) ).
fof(f295,plain,
! [X0,X1] :
( r1(sK11_skl,sK6_skl(sK11_skl,sK10_skl))
| sP1_prd(sK5_skl(X1,sK11_skl,sK10_skl),X1)
| ~ r1(sK11_skl,X1)
| p1(sK11_skl)
| p1(X0)
| ~ r1(sK11_skl,X0) ),
inference(resolution,[status(thm)],[f188,f25]) ).
fof(f296,definition,
! [X1] :
( sQ50_spl
<=> ( sP1_prd(sK5_skl(X1,sK11_skl,sK10_skl),X1)
| ~ r1(sK11_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f299,definition,
( sQ51_spl
<=> r1(sK11_skl,sK6_skl(sK11_skl,sK10_skl)) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( sQ51_spl
| sQ50_spl
| sQ9_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f295,f66,f91,f296,f299]) ).
fof(f303,plain,
! [X0] :
( ~ p1(sK9_skl(sK10_skl,X0))
| sP2_prd(sK8_skl(sK12_skl,sK11_skl,sK10_skl,X0),sK12_skl)
| p1(sK12_skl)
| ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f230,f27]) ).
fof(f304,definition,
! [X0] :
( sQ52_spl
<=> ( ~ p1(sK9_skl(sK10_skl,X0))
| sP2_prd(sK8_skl(sK12_skl,sK11_skl,sK10_skl,X0),sK12_skl)
| ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f305,plain,
! [X0] :
( ~ sQ52_spl
| ~ p1(sK9_skl(sK10_skl,X0))
| sP2_prd(sK8_skl(sK12_skl,sK11_skl,sK10_skl,X0),sK12_skl)
| ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,plain,
( sQ7_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f303,f304,f84]) ).
fof(f308,plain,
! [X0] :
( ~ p1(sK9_skl(sK0_skl,X0))
| sP2_prd(sK8_skl(sK11_skl,sK10_skl,sK0_skl,X0),sK11_skl)
| p1(sK11_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f231,f25]) ).
fof(f309,definition,
! [X0] :
( sQ53_spl
<=> ( ~ p1(sK9_skl(sK0_skl,X0))
| sP2_prd(sK8_skl(sK11_skl,sK10_skl,sK0_skl,X0),sK11_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f310,plain,
! [X0] :
( ~ sQ53_spl
| ~ p1(sK9_skl(sK0_skl,X0))
| sP2_prd(sK8_skl(sK11_skl,sK10_skl,sK0_skl,X0),sK11_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,plain,
( sQ9_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f308,f309,f91]) ).
fof(f313,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| ~ p1(X1)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(sK6_skl(sK11_skl,X0),X1)
| sP1_prd(sK5_skl(sK12_skl,sK11_skl,X0),sK12_skl)
| ~ r1(X0,sK11_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f260,f27]) ).
fof(f314,plain,
! [X0,X1,X2] :
( ~ p1(X1)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(sK9_skl(sK10_skl,X0),X1)
| sP2_prd(sK8_skl(sK12_skl,sK11_skl,sK10_skl,X0),sK12_skl)
| p1(sK12_skl)
| ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f272,f27]) ).
fof(f315,definition,
! [X0,X1,X2] :
( sQ54_spl
<=> ( ~ p1(X1)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(sK9_skl(sK10_skl,X0),X1)
| sP2_prd(sK8_skl(sK12_skl,sK11_skl,sK10_skl,X0),sK12_skl)
| ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( sQ7_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f314,f315,f84]) ).
fof(f319,plain,
! [X0,X1,X2] :
( ~ p1(X1)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(sK9_skl(sK0_skl,X0),X1)
| sP2_prd(sK8_skl(sK11_skl,sK10_skl,sK0_skl,X0),sK11_skl)
| p1(sK11_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f273,f25]) ).
fof(f320,definition,
! [X0,X1,X2] :
( sQ55_spl
<=> ( ~ p1(X1)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(sK9_skl(sK0_skl,X0),X1)
| sP2_prd(sK8_skl(sK11_skl,sK10_skl,sK0_skl,X0),sK11_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f321,plain,
! [X0,X1,X2] :
( ~ sQ55_spl
| ~ p1(X1)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(sK9_skl(sK0_skl,X0),X1)
| sP2_prd(sK8_skl(sK11_skl,sK10_skl,sK0_skl,X0),sK11_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,plain,
( sQ9_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f319,f320,f91]) ).
fof(f325,plain,
( ~ sQ3_spl
| p1(sK12_skl) ),
inference(resolution,[status(thm)],[f67,f27]) ).
fof(f326,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| p1(sK2_skl(X0,sK10_skl))
| sP0_prd(sK1_skl(X4,X0,sK10_skl),X4)
| ~ r1(X0,X4)
| p1(X3)
| ~ r1(X0,X3)
| ~ p1(X1)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK10_skl,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f140,f59]) ).
fof(f327,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| r1(sK2_skl(X0,sK10_skl),sK3_skl(X0,sK10_skl))
| sP0_prd(sK1_skl(X4,X0,sK10_skl),X4)
| ~ r1(X0,X4)
| p1(X3)
| ~ r1(X0,X3)
| ~ p1(X1)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK10_skl,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f118,f59]) ).
fof(f328,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| r1(X0,sK2_skl(X0,sK10_skl))
| sP0_prd(sK1_skl(X4,X0,sK10_skl),X4)
| ~ r1(X0,X4)
| p1(X3)
| ~ r1(X0,X3)
| ~ p1(X1)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK10_skl,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f117,f59]) ).
fof(f329,plain,
( ~ sQ1_spl
| p1(sK11_skl) ),
inference(resolution,[status(thm)],[f59,f25]) ).
fof(f330,plain,
( ~ sQ1_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f329,f91,f58]) ).
fof(f335,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ p1(X1)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(sK6_skl(sK10_skl,X0),X1)
| sP1_prd(sK5_skl(sK11_skl,sK10_skl,X0),sK11_skl)
| ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f264,f25]) ).
fof(f347,plain,
( ~ sQ10_spl
| ~ p1(sK10_skl) ),
inference(resolution,[status(thm)],[f96,f44]) ).
fof(f348,plain,
! [X0] :
( ~ sQ40_spl
| ~ p1(sK6_skl(sK10_skl,X0))
| sP1_prd(sK5_skl(sK11_skl,sK10_skl,X0),sK11_skl)
| ~ r1(X0,sK10_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f249,f25]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ1_spl
| sQ3_spl
| sQ5_spl
| sQ7_spl
| sQ8_spl
| ~ sQ9_spl
| sQ10_spl
| ~ sQ11_spl
| sQ19_spl
| sQ35_spl
| sQ37_spl
| sQ40_spl
| sQ43_spl
| sQ53_spl
| sQ55_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL641+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.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 00:46:14 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.44 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.12/0.44 % SZS output start Saturation for theBenchmark
% See solution above
% 0.12/0.45 % Elapsed time: 0.090515 seconds
% 0.12/0.45 % CPU time: 0.565345 seconds
% 0.12/0.45 % Total memory used: 21.493 MB
% 0.12/0.45 % Net memory used: 20.581 MB
%------------------------------------------------------------------------------