%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL640+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:59:06 AM UTC 2026
% Result : Theorem 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 34
% Syntax : Number of formulae : 296 ( 23 unt; 33 def)
% Number of atoms : 1444 ( 0 equ)
% Maximal formula atoms : 62 ( 4 avg)
% Number of connectives : 2039 ( 891 ~; 972 |; 147 &)
% ( 29 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 36 ( 35 usr; 30 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-1 aty)
% Number of variables : 457 ( 0 sgn 393 !; 64 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) )
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) ) ) ) )
& ( p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) ) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
& ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) ) ) ) ) )
| ~ ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) )
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) ) ) ) )
& ( p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) ) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
& ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) ) ) ) ) )
| ~ ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
| ~ p1(X1)
| ! [X3] :
( ~ r1(X1,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ p1(X4) ) )
| ~ ! [X6] :
( ~ r1(X1,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p1(X7) )
| ~ p1(X6)
| ~ ! [X8] :
( ~ r1(X6,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p1(X10) )
| ~ p1(X9) )
| ~ ( ! [X11] :
( ~ r1(X8,X11)
| p1(X11) )
| ~ p1(X8) ) ) ) )
& ( p1(X1)
| ! [X12] :
( ~ r1(X1,X12)
| ~ ! [X13] :
( ~ r1(X12,X13)
| p1(X13) ) )
| ~ ! [X14] :
( ~ r1(X1,X14)
| p1(X14)
| ~ ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
| ~ p1(X15) ) ) )
& ! [X17] :
( ~ r1(X1,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p1(X19) ) )
| ~ ! [X20] :
( ~ r1(X17,X20)
| p1(X20) ) )
& ( ! [X21] :
( ~ r1(X1,X21)
| ! [X22] :
( ~ r1(X21,X22)
| p1(X22)
| ~ ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p1(X24) )
| ~ p1(X23) ) ) )
| ~ ! [X25] :
( ~ r1(X1,X25)
| p1(X25)
| ~ ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| p1(X27) )
| ~ p1(X26) ) ) ) ) )
| ~ ~ ! [X28] :
( ~ r1(X0,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p1(X29) )
| ! [X30] :
( ~ r1(X28,X30)
| ~ ! [X31] :
( ~ r1(X30,X31)
| p1(X31) ) )
| ~ ! [X32] :
( ~ r1(X28,X32)
| p1(X32)
| ~ ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| p1(X34) )
| ~ p1(X33) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
| ~ p1(X1)
| ! [X3] :
( ~ r1(X1,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ p1(X4) ) )
| ~ ! [X6] :
( ~ r1(X1,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p1(X7) )
| ~ p1(X6)
| ~ ! [X8] :
( ~ r1(X6,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p1(X10) )
| ~ p1(X9) )
| ~ ( ! [X11] :
( ~ r1(X8,X11)
| p1(X11) )
| ~ p1(X8) ) ) ) )
& ( p1(X1)
| ! [X12] :
( ~ r1(X1,X12)
| ~ ! [X13] :
( ~ r1(X12,X13)
| p1(X13) ) )
| ~ ! [X14] :
( ~ r1(X1,X14)
| p1(X14)
| ~ ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
| ~ p1(X15) ) ) )
& ! [X17] :
( ~ r1(X1,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p1(X19) ) )
| ~ ! [X20] :
( ~ r1(X17,X20)
| p1(X20) ) )
& ( ! [X21] :
( ~ r1(X1,X21)
| ! [X22] :
( ~ r1(X21,X22)
| p1(X22)
| ~ ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p1(X24) )
| ~ p1(X23) ) ) )
| ~ ! [X25] :
( ~ r1(X1,X25)
| p1(X25)
| ~ ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| p1(X27) )
| ~ p1(X26) ) ) ) ) )
| ! [X28] :
( ~ r1(X0,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p1(X29) )
| ! [X30] :
( ~ r1(X28,X30)
| ~ ! [X31] :
( ~ r1(X30,X31)
| p1(X31) ) )
| ~ ! [X32] :
( ~ r1(X28,X32)
| p1(X32)
| ~ ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| p1(X34) )
| ~ p1(X33) ) ) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
| ~ p1(X1)
| ! [X3] :
( ~ r1(X1,X3)
| ? [X4] :
( r1(X3,X4)
& ? [X5] :
( r1(X4,X5)
& ~ p1(X5) )
& p1(X4) ) )
| ? [X6] :
( r1(X1,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p1(X7) )
& p1(X6)
& ! [X8] :
( ~ r1(X6,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p1(X10) )
| ~ p1(X9) )
| ( ? [X11] :
( r1(X8,X11)
& ~ p1(X11) )
& p1(X8) ) ) ) )
& ( p1(X1)
| ! [X12] :
( ~ r1(X1,X12)
| ? [X13] :
( r1(X12,X13)
& ~ p1(X13) ) )
| ? [X14] :
( r1(X1,X14)
& ~ p1(X14)
& ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
| ~ p1(X15) ) ) )
& ! [X17] :
( ~ r1(X1,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p1(X19) ) )
| ? [X20] :
( r1(X17,X20)
& ~ p1(X20) ) )
& ( ! [X21] :
( ~ r1(X1,X21)
| ! [X22] :
( ~ r1(X21,X22)
| p1(X22)
| ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& ~ p1(X24) )
& p1(X23) ) ) )
| ? [X25] :
( r1(X1,X25)
& ~ p1(X25)
& ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| p1(X27) )
| ~ p1(X26) ) ) ) ) )
& ? [X28] :
( r1(X0,X28)
& ? [X29] :
( r1(X28,X29)
& ~ p1(X29) )
& ? [X30] :
( r1(X28,X30)
& ! [X31] :
( ~ r1(X30,X31)
| p1(X31) ) )
& ! [X32] :
( ~ r1(X28,X32)
| p1(X32)
| ? [X33] :
( r1(X32,X33)
& ? [X34] :
( r1(X33,X34)
& ~ p1(X34) )
& p1(X33) ) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f6,definition,
! [X1] :
( ! [X21] :
( ~ r1(X1,X21)
| ! [X22] :
( ~ r1(X21,X22)
| p1(X22)
| ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& ~ p1(X24) )
& p1(X23) ) ) )
| ~ sP0(X1) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f7,definition,
! [X1] :
( ? [X6] :
( r1(X1,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p1(X7) )
& p1(X6)
& ! [X8] :
( ~ r1(X6,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p1(X10) )
| ~ p1(X9) )
| ( ? [X11] :
( r1(X8,X11)
& ~ p1(X11) )
& p1(X8) ) ) )
| ~ sP1(X1) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f8,definition,
! [X1] :
( p1(X1)
| ! [X12] :
( ~ r1(X1,X12)
| ? [X13] :
( r1(X12,X13)
& ~ p1(X13) ) )
| ? [X14] :
( r1(X1,X14)
& ~ p1(X14)
& ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
| ~ p1(X15) ) )
| ~ sP2(X1) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f9,definition,
! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
| ~ p1(X1)
| ! [X3] :
( ~ r1(X1,X3)
| ? [X4] :
( r1(X3,X4)
& ? [X5] :
( r1(X4,X5)
& ~ p1(X5) )
& p1(X4) ) )
| sP1(X1)
| ~ sP3(X1) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f10,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( sP3(X1)
& sP2(X1)
& ! [X17] :
( ~ r1(X1,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p1(X19) ) )
| ? [X20] :
( r1(X17,X20)
& ~ p1(X20) ) )
& ( sP0(X1)
| ? [X25] :
( r1(X1,X25)
& ~ p1(X25)
& ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| p1(X27) )
| ~ p1(X26) ) ) ) ) )
& ? [X28] :
( r1(X0,X28)
& ? [X29] :
( r1(X28,X29)
& ~ p1(X29) )
& ? [X30] :
( r1(X28,X30)
& ! [X31] :
( ~ r1(X30,X31)
| p1(X31) ) )
& ! [X32] :
( ~ r1(X28,X32)
| p1(X32)
| ? [X33] :
( r1(X32,X33)
& ? [X34] :
( r1(X33,X34)
& ~ p1(X34) )
& p1(X33) ) ) ) ),
inference(definition_folding,[],[f5,f9,f8,f7,f6]) ).
fof(f11,plain,
! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
| ~ p1(X1)
| ! [X3] :
( ~ r1(X1,X3)
| ? [X4] :
( r1(X3,X4)
& ? [X5] :
( r1(X4,X5)
& ~ p1(X5) )
& p1(X4) ) )
| sP1(X1)
| ~ sP3(X1) ),
inference(nnf_transformation,[],[f9]) ).
fof(f12,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0)
| ! [X2] :
( ~ r1(X0,X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p1(X4) )
& p1(X3) ) )
| sP1(X0)
| ~ sP3(X0) ),
inference(rectify,[],[f11]) ).
fof(f13,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0)
| ! [X2] :
( ~ r1(X0,X2)
| ( r1(X2,sK4(X2))
& r1(sK4(X2),sK5(X2))
& ~ p1(sK5(X2))
& p1(sK4(X2)) ) )
| sP1(X0)
| ~ sP3(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X3,sK4(X2)),skolemize(X4,sK5(X2))],[f12]) ).
fof(f14,plain,
! [X1] :
( p1(X1)
| ! [X12] :
( ~ r1(X1,X12)
| ? [X13] :
( r1(X12,X13)
& ~ p1(X13) ) )
| ? [X14] :
( r1(X1,X14)
& ~ p1(X14)
& ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
| ~ p1(X15) ) )
| ~ sP2(X1) ),
inference(nnf_transformation,[],[f8]) ).
fof(f15,plain,
! [X0] :
( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| ? [X2] :
( r1(X1,X2)
& ~ p1(X2) ) )
| ? [X3] :
( r1(X0,X3)
& ~ p1(X3)
& ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ p1(X4) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f14]) ).
fof(f16,plain,
! [X0] :
( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( r1(X1,sK6(X1))
& ~ p1(sK6(X1)) ) )
| ( r1(X0,sK7(X0))
& ~ p1(sK7(X0))
& ! [X4] :
( ~ r1(sK7(X0),X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ p1(X4) ) )
| ~ sP2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X2,sK6(X1)),skolemize(X3,sK7(X0))],[f15]) ).
fof(f17,plain,
! [X1] :
( ? [X6] :
( r1(X1,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p1(X7) )
& p1(X6)
& ! [X8] :
( ~ r1(X6,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p1(X10) )
| ~ p1(X9) )
| ( ? [X11] :
( r1(X8,X11)
& ~ p1(X11) )
& p1(X8) ) ) )
| ~ sP1(X1) ),
inference(nnf_transformation,[],[f7]) ).
fof(f18,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ~ p1(X2) )
& p1(X1)
& ! [X3] :
( ~ r1(X1,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ p1(X4) )
| ( ? [X6] :
( r1(X3,X6)
& ~ p1(X6) )
& p1(X3) ) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f17]) ).
fof(f19,plain,
! [X0] :
( ( r1(X0,sK8(X0))
& r1(sK8(X0),sK9(X0))
& ~ p1(sK9(X0))
& p1(sK8(X0))
& ! [X3] :
( ~ r1(sK8(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ p1(X4) )
| ( r1(X3,sK10(X3))
& ~ p1(sK10(X3))
& p1(X3) ) ) )
| ~ sP1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X1,sK8(X0)),skolemize(X2,sK9(X0)),skolemize(X6,sK10(X3))],[f18]) ).
fof(f20,plain,
! [X1] :
( ! [X21] :
( ~ r1(X1,X21)
| ! [X22] :
( ~ r1(X21,X22)
| p1(X22)
| ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& ~ p1(X24) )
& p1(X23) ) ) )
| ~ sP0(X1) ),
inference(nnf_transformation,[],[f6]) ).
fof(f21,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p1(X4) )
& p1(X3) ) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f20]) ).
fof(f22,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ( r1(X2,sK11(X2))
& r1(sK11(X2),sK12(X2))
& ~ p1(sK12(X2))
& p1(sK11(X2)) ) ) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X3,sK11(X2)),skolemize(X4,sK12(X2))],[f21]) ).
fof(f23,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( sP3(X1)
& sP2(X1)
& ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p1(X4) ) )
| ? [X5] :
( r1(X2,X5)
& ~ p1(X5) ) )
& ( sP0(X1)
| ? [X6] :
( r1(X1,X6)
& ~ p1(X6)
& ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| p1(X8) )
| ~ p1(X7) ) ) ) ) )
& ? [X9] :
( r1(X0,X9)
& ? [X10] :
( r1(X9,X10)
& ~ p1(X10) )
& ? [X11] :
( r1(X9,X11)
& ! [X12] :
( ~ r1(X11,X12)
| p1(X12) ) )
& ! [X13] :
( ~ r1(X9,X13)
| p1(X13)
| ? [X14] :
( r1(X13,X14)
& ? [X15] :
( r1(X14,X15)
& ~ p1(X15) )
& p1(X14) ) ) ) ),
inference(rectify,[],[f10]) ).
fof(f24,plain,
( ! [X1] :
( ~ r1(sK13,X1)
| ( sP3(X1)
& sP2(X1)
& ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p1(X4) ) )
| ( r1(X2,sK14(X2))
& ~ p1(sK14(X2)) ) )
& ( sP0(X1)
| ( r1(X1,sK15(X1))
& ~ p1(sK15(X1))
& ! [X7] :
( ~ r1(sK15(X1),X7)
| ! [X8] :
( ~ r1(X7,X8)
| p1(X8) )
| ~ p1(X7) ) ) ) ) )
& r1(sK13,sK16)
& r1(sK16,sK17)
& ~ p1(sK17)
& r1(sK16,sK18)
& ! [X12] :
( ~ r1(sK18,X12)
| p1(X12) )
& ! [X13] :
( ~ r1(sK16,X13)
| p1(X13)
| ( r1(X13,sK19(X13))
& r1(sK19(X13),sK20(X13))
& ~ p1(sK20(X13))
& p1(sK19(X13)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20]),skolemize(X0,sK13),skolemize(X5,sK14(X2)),skolemize(X6,sK15(X1)),skolemize(X9,sK16),skolemize(X10,sK17),skolemize(X11,sK18),skolemize(X14,sK19(X13)),skolemize(X15,sK20(X13))],[f23]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| p1(X1)
| ~ p1(X0)
| ~ r1(X0,X2)
| ~ p1(sK5(X2))
| sP1(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| p1(X1)
| ~ p1(X0)
| ~ r1(X0,X2)
| r1(sK4(X2),sK5(X2))
| sP1(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| p1(X1)
| ~ p1(X0)
| ~ r1(X0,X2)
| r1(X2,sK4(X2))
| sP1(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f29,plain,
! [X0,X1,X4,X5] :
( ~ sP2(X0)
| ~ r1(X0,X1)
| ~ p1(sK6(X1))
| ~ r1(sK7(X0),X4)
| ~ r1(X4,X5)
| p1(X5)
| ~ p1(X4)
| p1(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f30,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ r1(X0,X1)
| ~ p1(sK6(X1))
| ~ p1(sK7(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f31,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ r1(X0,X1)
| ~ p1(sK6(X1))
| r1(X0,sK7(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f32,plain,
! [X0,X1,X4,X5] :
( ~ sP2(X0)
| ~ r1(X0,X1)
| r1(X1,sK6(X1))
| ~ r1(sK7(X0),X4)
| ~ r1(X4,X5)
| p1(X5)
| ~ p1(X4)
| p1(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f33,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ r1(X0,X1)
| r1(X1,sK6(X1))
| ~ p1(sK7(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f34,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ r1(X0,X1)
| r1(X1,sK6(X1))
| r1(X0,sK7(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f35,plain,
! [X3,X0,X4,X5] :
( ~ sP1(X0)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| p1(X5)
| ~ p1(X4)
| p1(X3)
| ~ r1(sK8(X0),X3) ),
inference(cnf_transformation,[],[f19]) ).
fof(f39,plain,
! [X0] :
( ~ sP1(X0)
| ~ p1(sK9(X0)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f40,plain,
! [X0] :
( ~ sP1(X0)
| r1(sK8(X0),sK9(X0)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f41,plain,
! [X0] :
( ~ sP1(X0)
| r1(X0,sK8(X0)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| ~ r1(X1,X2)
| p1(X2)
| p1(sK11(X2))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| ~ r1(X1,X2)
| p1(X2)
| ~ p1(sK12(X2))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| ~ r1(X1,X2)
| p1(X2)
| r1(sK11(X2),sK12(X2))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| ~ r1(X1,X2)
| p1(X2)
| r1(X2,sK11(X2))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f46,plain,
! [X13] :
( ~ r1(sK16,X13)
| p1(X13)
| p1(sK19(X13)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X13] :
( ~ p1(sK20(X13))
| p1(X13)
| ~ r1(sK16,X13) ),
inference(cnf_transformation,[],[f24]) ).
fof(f48,plain,
! [X13] :
( ~ r1(sK16,X13)
| p1(X13)
| r1(sK19(X13),sK20(X13)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f49,plain,
! [X13] :
( ~ r1(sK16,X13)
| p1(X13)
| r1(X13,sK19(X13)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f50,plain,
! [X12] :
( ~ r1(sK18,X12)
| p1(X12) ),
inference(cnf_transformation,[],[f24]) ).
fof(f51,plain,
r1(sK16,sK18),
inference(cnf_transformation,[],[f24]) ).
fof(f52,plain,
~ p1(sK17),
inference(cnf_transformation,[],[f24]) ).
fof(f53,plain,
r1(sK16,sK17),
inference(cnf_transformation,[],[f24]) ).
fof(f54,plain,
r1(sK13,sK16),
inference(cnf_transformation,[],[f24]) ).
fof(f55,plain,
! [X1,X8,X7] :
( ~ p1(X7)
| sP0(X1)
| ~ r1(sK15(X1),X7)
| ~ r1(X7,X8)
| p1(X8)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f56,plain,
! [X1] :
( ~ p1(sK15(X1))
| sP0(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f57,plain,
! [X1] :
( ~ r1(sK13,X1)
| sP0(X1)
| r1(X1,sK15(X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f58,plain,
! [X2,X3,X1,X4] :
( ~ p1(sK14(X2))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| p1(X4)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f59,plain,
! [X2,X3,X1,X4] :
( ~ r1(sK13,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| p1(X4)
| r1(X2,sK14(X2)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f60,plain,
! [X1] :
( ~ r1(sK13,X1)
| sP2(X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f61,plain,
! [X1] :
( ~ r1(sK13,X1)
| sP3(X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f62,plain,
sP2(sK16),
inference(resolution,[],[f60,f54]) ).
fof(f63,plain,
sP3(sK16),
inference(resolution,[],[f61,f54]) ).
fof(f79,plain,
( sP0(sK16)
| r1(sK16,sK15(sK16)) ),
inference(resolution,[],[f57,f54]) ).
fof(f81,definition,
( spl21_3
<=> r1(sK16,sK15(sK16)) ),
introduced(definition,[new_symbols(definition,[spl21_3])],[avatar_definition]) ).
fof(f83,plain,
( r1(sK16,sK15(sK16))
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f85,definition,
( spl21_4
<=> sP0(sK16) ),
introduced(definition,[new_symbols(definition,[spl21_4])],[avatar_definition]) ).
fof(f86,plain,
( ~ sP0(sK16)
| spl21_4 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f87,plain,
( sP0(sK16)
| ~ spl21_4 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( spl21_3
| spl21_4 ),
inference(avatar_split_clause,[],[f79,f85,f81]) ).
fof(f92,plain,
( p1(sK15(sK16))
| r1(sK19(sK15(sK16)),sK20(sK15(sK16)))
| ~ spl21_3 ),
inference(resolution,[],[f83,f48]) ).
fof(f93,plain,
( p1(sK15(sK16))
| r1(sK15(sK16),sK19(sK15(sK16)))
| ~ spl21_3 ),
inference(resolution,[],[f83,f49]) ).
fof(f94,plain,
( p1(sK15(sK16))
| p1(sK19(sK15(sK16)))
| ~ spl21_3 ),
inference(resolution,[],[f83,f46]) ).
fof(f96,definition,
( spl21_5
<=> p1(sK19(sK15(sK16))) ),
introduced(definition,[new_symbols(definition,[spl21_5])],[avatar_definition]) ).
fof(f98,plain,
( p1(sK19(sK15(sK16)))
| ~ spl21_5 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f100,definition,
( spl21_6
<=> p1(sK15(sK16)) ),
introduced(definition,[new_symbols(definition,[spl21_6])],[avatar_definition]) ).
fof(f101,plain,
( ~ p1(sK15(sK16))
| spl21_6 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f102,plain,
( p1(sK15(sK16))
| ~ spl21_6 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
( spl21_5
| spl21_6
| ~ spl21_3 ),
inference(avatar_split_clause,[],[f94,f81,f100,f96]) ).
fof(f105,definition,
( spl21_7
<=> r1(sK15(sK16),sK19(sK15(sK16))) ),
introduced(definition,[new_symbols(definition,[spl21_7])],[avatar_definition]) ).
fof(f107,plain,
( r1(sK15(sK16),sK19(sK15(sK16)))
| ~ spl21_7 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
( spl21_7
| spl21_6
| ~ spl21_3 ),
inference(avatar_split_clause,[],[f93,f81,f100,f105]) ).
fof(f110,definition,
( spl21_8
<=> r1(sK19(sK15(sK16)),sK20(sK15(sK16))) ),
introduced(definition,[new_symbols(definition,[spl21_8])],[avatar_definition]) ).
fof(f112,plain,
( r1(sK19(sK15(sK16)),sK20(sK15(sK16)))
| ~ spl21_8 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( spl21_8
| spl21_6
| ~ spl21_3 ),
inference(avatar_split_clause,[],[f92,f81,f100,f110]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ r1(sK16,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p1(X2)
| r1(X0,sK14(X0)) ),
inference(resolution,[],[f59,f54]) ).
fof(f138,plain,
! [X0,X1] :
( ~ r1(sK18,X0)
| ~ r1(X0,X1)
| p1(X1)
| r1(sK18,sK14(sK18)) ),
inference(resolution,[],[f123,f51]) ).
fof(f149,definition,
( spl21_15
<=> r1(sK18,sK14(sK18)) ),
introduced(definition,[new_symbols(definition,[spl21_15])],[avatar_definition]) ).
fof(f151,plain,
( r1(sK18,sK14(sK18))
| ~ spl21_15 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f153,definition,
( spl21_16
<=> ! [X0,X1] :
( ~ r1(sK18,X0)
| p1(X1)
| ~ r1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl21_16])],[avatar_definition]) ).
fof(f154,plain,
( ! [X0,X1] :
( ~ r1(sK18,X0)
| p1(X1)
| ~ r1(X0,X1) )
| ~ spl21_16 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f155,plain,
( spl21_15
| spl21_16 ),
inference(avatar_split_clause,[],[f138,f153,f149]) ).
fof(f156,plain,
! [X0] :
( ~ r1(sK16,X0)
| ~ p1(sK6(X0))
| ~ p1(sK7(sK16))
| p1(sK16) ),
inference(resolution,[],[f30,f62]) ).
fof(f158,definition,
( spl21_17
<=> p1(sK16) ),
introduced(definition,[new_symbols(definition,[spl21_17])],[avatar_definition]) ).
fof(f159,plain,
( ~ p1(sK16)
| spl21_17 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f160,plain,
( p1(sK16)
| ~ spl21_17 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f162,definition,
( spl21_18
<=> p1(sK7(sK16)) ),
introduced(definition,[new_symbols(definition,[spl21_18])],[avatar_definition]) ).
fof(f163,plain,
( p1(sK7(sK16))
| ~ spl21_18 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f164,plain,
( ~ p1(sK7(sK16))
| spl21_18 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f166,definition,
( spl21_19
<=> ! [X0] :
( ~ r1(sK16,X0)
| ~ p1(sK6(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl21_19])],[avatar_definition]) ).
fof(f167,plain,
( ! [X0] :
( ~ p1(sK6(X0))
| ~ r1(sK16,X0) )
| ~ spl21_19 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f168,plain,
( spl21_17
| ~ spl21_18
| spl21_19 ),
inference(avatar_split_clause,[],[f156,f166,f162,f158]) ).
fof(f171,plain,
( p1(sK14(sK18))
| ~ spl21_15 ),
inference(resolution,[],[f151,f50]) ).
fof(f172,plain,
! [X0] :
( ~ r1(sK16,X0)
| ~ p1(sK6(X0))
| r1(sK16,sK7(sK16))
| p1(sK16) ),
inference(resolution,[],[f31,f62]) ).
fof(f174,definition,
( spl21_20
<=> r1(sK16,sK7(sK16)) ),
introduced(definition,[new_symbols(definition,[spl21_20])],[avatar_definition]) ).
fof(f176,plain,
( r1(sK16,sK7(sK16))
| ~ spl21_20 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f177,plain,
( spl21_17
| spl21_20
| spl21_19 ),
inference(avatar_split_clause,[],[f172,f166,f174,f158]) ).
fof(f180,definition,
( spl21_21
<=> ! [X1] :
( ~ r1(sK16,X1)
| p1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl21_21])],[avatar_definition]) ).
fof(f181,plain,
( ! [X1] :
( ~ r1(sK16,X1)
| p1(X1) )
| ~ spl21_21 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f186,plain,
! [X0] :
( ~ r1(sK16,X0)
| r1(X0,sK6(X0))
| ~ p1(sK7(sK16))
| p1(sK16) ),
inference(resolution,[],[f33,f62]) ).
fof(f188,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,sK18)
| ~ r1(sK18,X1)
| ~ r1(X1,X2)
| p1(X2)
| ~ r1(sK13,X0) )
| ~ spl21_15 ),
inference(resolution,[],[f171,f58]) ).
fof(f198,definition,
( spl21_25
<=> ! [X0] :
( ~ r1(X0,sK18)
| ~ r1(sK13,X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_25])],[avatar_definition]) ).
fof(f199,plain,
( ! [X0] :
( ~ r1(X0,sK18)
| ~ r1(sK13,X0) )
| ~ spl21_25 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f200,plain,
( spl21_16
| spl21_25
| ~ spl21_15 ),
inference(avatar_split_clause,[],[f188,f149,f198,f153]) ).
fof(f201,plain,
! [X0] :
( ~ r1(sK16,X0)
| r1(X0,sK6(X0))
| r1(sK16,sK7(sK16))
| p1(sK16) ),
inference(resolution,[],[f34,f62]) ).
fof(f202,plain,
( ! [X0] :
( ~ r1(sK16,X0)
| r1(X0,sK6(X0))
| r1(sK16,sK7(sK16)) )
| spl21_17 ),
inference(forward_subsumption_resolution,[],[f201,f159]) ).
fof(f204,definition,
( spl21_26
<=> ! [X0] :
( ~ r1(sK16,X0)
| r1(X0,sK6(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl21_26])],[avatar_definition]) ).
fof(f205,plain,
( ! [X0] :
( ~ r1(sK16,X0)
| r1(X0,sK6(X0)) )
| ~ spl21_26 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f206,plain,
( spl21_20
| spl21_26
| spl21_17 ),
inference(avatar_split_clause,[],[f202,f158,f204,f174]) ).
fof(f211,plain,
( p1(sK7(sK16))
| p1(sK19(sK7(sK16)))
| ~ spl21_20 ),
inference(resolution,[],[f176,f46]) ).
fof(f212,plain,
( p1(sK19(sK7(sK16)))
| spl21_18
| ~ spl21_20 ),
inference(forward_subsumption_resolution,[],[f211,f164]) ).
fof(f225,plain,
! [X0,X1] :
( p1(X0)
| ~ p1(sK16)
| ~ r1(sK16,X1)
| ~ p1(sK5(X1))
| sP1(sK16)
| ~ r1(sK16,X0) ),
inference(resolution,[],[f26,f63]) ).
fof(f226,plain,
! [X0,X1] :
( p1(X0)
| ~ p1(sK16)
| ~ r1(sK16,X1)
| r1(X1,sK4(X1))
| sP1(sK16)
| ~ r1(sK16,X0) ),
inference(resolution,[],[f28,f63]) ).
fof(f228,plain,
( p1(sK17)
| ~ spl21_21 ),
inference(resolution,[],[f181,f53]) ).
fof(f229,plain,
( $false
| ~ spl21_21 ),
inference(forward_subsumption_resolution,[],[f228,f52]) ).
fof(f230,plain,
~ spl21_21,
inference(avatar_contradiction_clause,[],[f229]) ).
fof(f232,plain,
( ! [X0,X1] :
( p1(X0)
| ~ r1(sK16,X1)
| ~ p1(sK5(X1))
| sP1(sK16)
| ~ r1(sK16,X0) )
| ~ spl21_17 ),
inference(forward_subsumption_resolution,[],[f225,f160]) ).
fof(f233,plain,
( ! [X0,X1] :
( p1(X0)
| ~ r1(sK16,X1)
| r1(X1,sK4(X1))
| sP1(sK16)
| ~ r1(sK16,X0) )
| ~ spl21_17 ),
inference(forward_subsumption_resolution,[],[f226,f160]) ).
fof(f235,definition,
( spl21_29
<=> sP1(sK16) ),
introduced(definition,[new_symbols(definition,[spl21_29])],[avatar_definition]) ).
fof(f236,plain,
( ~ sP1(sK16)
| spl21_29 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f237,plain,
( sP1(sK16)
| ~ spl21_29 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f243,definition,
( spl21_31
<=> ! [X1] :
( ~ r1(sK16,X1)
| ~ p1(sK5(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl21_31])],[avatar_definition]) ).
fof(f244,plain,
( ! [X1] :
( ~ p1(sK5(X1))
| ~ r1(sK16,X1) )
| ~ spl21_31 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f245,plain,
( spl21_29
| spl21_31
| spl21_21
| ~ spl21_17 ),
inference(avatar_split_clause,[],[f232,f158,f180,f243,f235]) ).
fof(f247,definition,
( spl21_32
<=> ! [X1] :
( ~ r1(sK16,X1)
| r1(X1,sK4(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl21_32])],[avatar_definition]) ).
fof(f248,plain,
( ! [X1] :
( ~ r1(sK16,X1)
| r1(X1,sK4(X1)) )
| ~ spl21_32 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f249,plain,
( spl21_29
| spl21_32
| spl21_21
| ~ spl21_17 ),
inference(avatar_split_clause,[],[f233,f158,f180,f247,f235]) ).
fof(f250,plain,
! [X0,X1] :
( p1(X0)
| ~ p1(sK16)
| ~ r1(sK16,X1)
| r1(sK4(X1),sK5(X1))
| sP1(sK16)
| ~ r1(sK16,X0) ),
inference(resolution,[],[f27,f63]) ).
fof(f251,plain,
( r1(sK18,sK6(sK18))
| ~ spl21_26 ),
inference(resolution,[],[f205,f51]) ).
fof(f253,plain,
( p1(sK6(sK18))
| ~ spl21_26 ),
inference(resolution,[],[f251,f50]) ).
fof(f254,plain,
! [X2,X0,X1] :
( ~ r1(sK16,X0)
| ~ p1(sK6(X0))
| ~ r1(sK7(sK16),X1)
| ~ r1(X1,X2)
| p1(X2)
| ~ p1(X1)
| p1(sK16) ),
inference(resolution,[],[f29,f62]) ).
fof(f255,plain,
( ~ r1(sK16,sK18)
| ~ spl21_19
| ~ spl21_26 ),
inference(resolution,[],[f253,f167]) ).
fof(f264,plain,
( $false
| ~ spl21_19
| ~ spl21_26 ),
inference(forward_subsumption_resolution,[],[f255,f51]) ).
fof(f265,plain,
( ~ spl21_19
| ~ spl21_26 ),
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f266,plain,
! [X2,X0,X1] :
( ~ r1(sK16,X0)
| r1(X0,sK6(X0))
| ~ r1(sK7(sK16),X1)
| ~ r1(X1,X2)
| p1(X2)
| ~ p1(X1)
| p1(sK16) ),
inference(resolution,[],[f32,f62]) ).
fof(f267,plain,
( ! [X2,X0,X1] :
( ~ r1(sK16,X0)
| r1(X0,sK6(X0))
| ~ r1(sK7(sK16),X1)
| ~ r1(X1,X2)
| p1(X2)
| ~ p1(X1) )
| spl21_17 ),
inference(forward_subsumption_resolution,[],[f266,f159]) ).
fof(f269,definition,
( spl21_35
<=> ! [X2,X1] :
( ~ r1(sK7(sK16),X1)
| ~ p1(X1)
| p1(X2)
| ~ r1(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl21_35])],[avatar_definition]) ).
fof(f270,plain,
( ! [X2,X1] :
( ~ p1(X1)
| ~ r1(sK7(sK16),X1)
| p1(X2)
| ~ r1(X1,X2) )
| ~ spl21_35 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f271,plain,
( spl21_35
| spl21_26
| spl21_17 ),
inference(avatar_split_clause,[],[f267,f158,f204,f269]) ).
fof(f288,plain,
( ! [X0,X1] :
( p1(X0)
| ~ r1(sK16,X1)
| r1(sK4(X1),sK5(X1))
| sP1(sK16)
| ~ r1(sK16,X0) )
| ~ spl21_17 ),
inference(forward_subsumption_resolution,[],[f250,f160]) ).
fof(f289,plain,
( ! [X0,X1] :
( p1(X0)
| ~ r1(sK16,X1)
| r1(sK4(X1),sK5(X1))
| ~ r1(sK16,X0) )
| ~ spl21_17
| spl21_29 ),
inference(forward_subsumption_resolution,[],[f288,f236]) ).
fof(f291,definition,
( spl21_38
<=> ! [X1] :
( ~ r1(sK16,X1)
| r1(sK4(X1),sK5(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl21_38])],[avatar_definition]) ).
fof(f292,plain,
( ! [X1] :
( ~ r1(sK16,X1)
| r1(sK4(X1),sK5(X1)) )
| ~ spl21_38 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f293,plain,
( spl21_38
| spl21_21
| ~ spl21_17
| spl21_29 ),
inference(avatar_split_clause,[],[f289,f235,f158,f180,f291]) ).
fof(f294,plain,
( ! [X2,X0,X1] :
( ~ r1(sK16,X0)
| ~ p1(sK6(X0))
| ~ r1(sK7(sK16),X1)
| ~ r1(X1,X2)
| p1(X2)
| ~ p1(X1) )
| spl21_17 ),
inference(forward_subsumption_resolution,[],[f254,f159]) ).
fof(f295,plain,
( spl21_35
| spl21_19
| spl21_17 ),
inference(avatar_split_clause,[],[f294,f158,f166,f269]) ).
fof(f297,plain,
( p1(sK7(sK16))
| r1(sK19(sK7(sK16)),sK20(sK7(sK16)))
| ~ spl21_20 ),
inference(resolution,[],[f176,f48]) ).
fof(f298,plain,
( p1(sK7(sK16))
| r1(sK7(sK16),sK19(sK7(sK16)))
| ~ spl21_20 ),
inference(resolution,[],[f176,f49]) ).
fof(f301,plain,
( r1(sK19(sK7(sK16)),sK20(sK7(sK16)))
| spl21_18
| ~ spl21_20 ),
inference(forward_subsumption_resolution,[],[f297,f164]) ).
fof(f304,definition,
( spl21_39
<=> ! [X1] :
( ~ r1(sK19(sK7(sK16)),X1)
| p1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl21_39])],[avatar_definition]) ).
fof(f305,plain,
( ! [X1] :
( ~ r1(sK19(sK7(sK16)),X1)
| p1(X1) )
| ~ spl21_39 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f315,definition,
( spl21_41
<=> ! [X1] :
( ~ r1(sK4(sK18),X1)
| p1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl21_41])],[avatar_definition]) ).
fof(f316,plain,
( ! [X1] :
( ~ r1(sK4(sK18),X1)
| p1(X1) )
| ~ spl21_41 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f329,plain,
( r1(sK18,sK4(sK18))
| ~ spl21_32 ),
inference(resolution,[],[f248,f51]) ).
fof(f340,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK4(sK18),X0) )
| ~ spl21_16
| ~ spl21_32 ),
inference(resolution,[],[f329,f154]) ).
fof(f416,plain,
( sP0(sK16)
| ~ r1(sK13,sK16)
| ~ spl21_6 ),
inference(resolution,[],[f102,f56]) ).
fof(f425,plain,
( ~ r1(sK13,sK16)
| spl21_4
| ~ spl21_6 ),
inference(forward_subsumption_resolution,[],[f416,f86]) ).
fof(f426,plain,
( $false
| spl21_4
| ~ spl21_6 ),
inference(forward_subsumption_resolution,[],[f425,f54]) ).
fof(f427,plain,
( spl21_4
| ~ spl21_6 ),
inference(avatar_contradiction_clause,[],[f426]) ).
fof(f659,definition,
( spl21_94
<=> p1(sK20(sK7(sK16))) ),
introduced(definition,[new_symbols(definition,[spl21_94])],[avatar_definition]) ).
fof(f661,plain,
( p1(sK20(sK7(sK16)))
| ~ spl21_94 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f708,plain,
( ! [X0,X1] :
( sP0(X0)
| ~ r1(sK15(X0),sK19(sK15(sK16)))
| ~ r1(sK19(sK15(sK16)),X1)
| p1(X1)
| ~ r1(sK13,X0) )
| ~ spl21_5 ),
inference(resolution,[],[f98,f55]) ).
fof(f710,definition,
( spl21_102
<=> ! [X1] :
( ~ r1(sK19(sK15(sK16)),X1)
| p1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl21_102])],[avatar_definition]) ).
fof(f711,plain,
( ! [X1] :
( ~ r1(sK19(sK15(sK16)),X1)
| p1(X1) )
| ~ spl21_102 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f713,definition,
( spl21_103
<=> ! [X0] :
( sP0(X0)
| ~ r1(sK13,X0)
| ~ r1(sK15(X0),sK19(sK15(sK16))) ) ),
introduced(definition,[new_symbols(definition,[spl21_103])],[avatar_definition]) ).
fof(f714,plain,
( ! [X0] :
( ~ r1(sK13,X0)
| sP0(X0)
| ~ r1(sK15(X0),sK19(sK15(sK16))) )
| ~ spl21_103 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f715,plain,
( spl21_102
| spl21_103
| ~ spl21_5 ),
inference(avatar_split_clause,[],[f708,f96,f713,f710]) ).
fof(f722,plain,
( p1(sK20(sK15(sK16)))
| ~ spl21_8
| ~ spl21_102 ),
inference(resolution,[],[f711,f112]) ).
fof(f723,plain,
( p1(sK15(sK16))
| ~ r1(sK16,sK15(sK16))
| ~ spl21_8
| ~ spl21_102 ),
inference(resolution,[],[f722,f47]) ).
fof(f738,plain,
( ~ r1(sK16,sK15(sK16))
| spl21_6
| ~ spl21_8
| ~ spl21_102 ),
inference(forward_subsumption_resolution,[],[f723,f101]) ).
fof(f739,plain,
( $false
| ~ spl21_3
| spl21_6
| ~ spl21_8
| ~ spl21_102 ),
inference(forward_subsumption_resolution,[],[f738,f83]) ).
fof(f740,plain,
( ~ spl21_3
| spl21_6
| ~ spl21_8
| ~ spl21_102 ),
inference(avatar_contradiction_clause,[],[f739]) ).
fof(f741,plain,
( sP0(sK16)
| ~ r1(sK15(sK16),sK19(sK15(sK16)))
| ~ spl21_103 ),
inference(resolution,[],[f714,f54]) ).
fof(f742,plain,
( ~ r1(sK15(sK16),sK19(sK15(sK16)))
| spl21_4
| ~ spl21_103 ),
inference(forward_subsumption_resolution,[],[f741,f86]) ).
fof(f743,plain,
( $false
| spl21_4
| ~ spl21_7
| ~ spl21_103 ),
inference(forward_subsumption_resolution,[],[f742,f107]) ).
fof(f744,plain,
( spl21_4
| ~ spl21_7
| ~ spl21_103 ),
inference(avatar_contradiction_clause,[],[f743]) ).
fof(f745,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| p1(X1)
| r1(sK11(X1),sK12(X1))
| ~ r1(sK16,X0) )
| ~ spl21_4 ),
inference(resolution,[],[f87,f44]) ).
fof(f746,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| p1(X1)
| r1(X1,sK11(X1))
| ~ r1(sK16,X0) )
| ~ spl21_4 ),
inference(resolution,[],[f87,f45]) ).
fof(f747,plain,
( ! [X0,X1] :
( ~ p1(sK12(X1))
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK16,X0) )
| ~ spl21_4 ),
inference(resolution,[],[f87,f43]) ).
fof(f748,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| p1(X1)
| p1(sK11(X1))
| ~ r1(sK16,X0) )
| ~ spl21_4 ),
inference(resolution,[],[f87,f42]) ).
fof(f851,plain,
( p1(sK20(sK7(sK16)))
| spl21_18
| ~ spl21_20
| ~ spl21_39 ),
inference(resolution,[],[f305,f301]) ).
fof(f852,plain,
( spl21_94
| spl21_18
| ~ spl21_20
| ~ spl21_39 ),
inference(avatar_split_clause,[],[f851,f304,f174,f162,f659]) ).
fof(f853,plain,
( ! [X0] :
( ~ r1(sK16,X0)
| r1(X0,sK6(X0))
| p1(sK16) )
| ~ spl21_18 ),
inference(forward_subsumption_resolution,[],[f186,f163]) ).
fof(f854,plain,
( ! [X0] :
( ~ r1(sK16,X0)
| r1(X0,sK6(X0)) )
| spl21_17
| ~ spl21_18 ),
inference(forward_subsumption_resolution,[],[f853,f159]) ).
fof(f855,plain,
( spl21_26
| spl21_17
| ~ spl21_18 ),
inference(avatar_split_clause,[],[f854,f162,f158,f204]) ).
fof(f856,plain,
( r1(sK7(sK16),sK19(sK7(sK16)))
| spl21_18
| ~ spl21_20 ),
inference(forward_subsumption_resolution,[],[f298,f164]) ).
fof(f858,plain,
( ! [X0] :
( ~ r1(sK7(sK16),sK19(sK7(sK16)))
| p1(X0)
| ~ r1(sK19(sK7(sK16)),X0) )
| spl21_18
| ~ spl21_20
| ~ spl21_35 ),
inference(resolution,[],[f212,f270]) ).
fof(f860,plain,
( p1(sK7(sK16))
| ~ r1(sK16,sK7(sK16))
| ~ spl21_94 ),
inference(resolution,[],[f661,f47]) ).
fof(f875,plain,
( ~ r1(sK16,sK7(sK16))
| spl21_18
| ~ spl21_94 ),
inference(forward_subsumption_resolution,[],[f860,f164]) ).
fof(f876,plain,
( $false
| spl21_18
| ~ spl21_20
| ~ spl21_94 ),
inference(forward_subsumption_resolution,[],[f875,f176]) ).
fof(f877,plain,
( spl21_18
| ~ spl21_20
| ~ spl21_94 ),
inference(avatar_contradiction_clause,[],[f876]) ).
fof(f878,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK19(sK7(sK16)),X0) )
| spl21_18
| ~ spl21_20
| ~ spl21_35 ),
inference(forward_subsumption_resolution,[],[f858,f856]) ).
fof(f879,plain,
( spl21_39
| spl21_18
| ~ spl21_20
| ~ spl21_35 ),
inference(avatar_split_clause,[],[f878,f269,f174,f162,f304]) ).
fof(f904,plain,
( r1(sK4(sK18),sK5(sK18))
| ~ spl21_38 ),
inference(resolution,[],[f292,f51]) ).
fof(f955,plain,
( p1(sK5(sK18))
| ~ spl21_38
| ~ spl21_41 ),
inference(resolution,[],[f904,f316]) ).
fof(f968,definition,
( spl21_134
<=> p1(sK5(sK18)) ),
introduced(definition,[new_symbols(definition,[spl21_134])],[avatar_definition]) ).
fof(f970,plain,
( p1(sK5(sK18))
| ~ spl21_134 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f982,plain,
( spl21_134
| ~ spl21_38
| ~ spl21_41 ),
inference(avatar_split_clause,[],[f955,f315,f291,f968]) ).
fof(f985,plain,
( ~ r1(sK16,sK18)
| ~ spl21_31
| ~ spl21_134 ),
inference(resolution,[],[f970,f244]) ).
fof(f1000,plain,
( $false
| ~ spl21_31
| ~ spl21_134 ),
inference(forward_subsumption_resolution,[],[f985,f51]) ).
fof(f1001,plain,
( ~ spl21_31
| ~ spl21_134 ),
inference(avatar_contradiction_clause,[],[f1000]) ).
fof(f1153,plain,
( spl21_41
| ~ spl21_16
| ~ spl21_32 ),
inference(avatar_split_clause,[],[f340,f247,f153,f315]) ).
fof(f1171,plain,
( ~ r1(sK13,sK16)
| ~ spl21_25 ),
inference(resolution,[],[f199,f51]) ).
fof(f1172,plain,
( $false
| ~ spl21_25 ),
inference(forward_subsumption_resolution,[],[f1171,f54]) ).
fof(f1173,plain,
~ spl21_25,
inference(avatar_contradiction_clause,[],[f1172]) ).
fof(f1174,plain,
( ! [X2,X0,X1] :
( ~ p1(X1)
| ~ r1(X1,X2)
| p1(X2)
| ~ r1(X0,X1)
| p1(X0)
| ~ r1(sK8(sK16),X0) )
| ~ spl21_29 ),
inference(resolution,[],[f237,f35]) ).
fof(f1178,plain,
( ~ p1(sK9(sK16))
| ~ spl21_29 ),
inference(resolution,[],[f237,f39]) ).
fof(f1179,plain,
( r1(sK8(sK16),sK9(sK16))
| ~ spl21_29 ),
inference(resolution,[],[f237,f40]) ).
fof(f1180,plain,
( r1(sK16,sK8(sK16))
| ~ spl21_29 ),
inference(resolution,[],[f237,f41]) ).
fof(f1197,plain,
( p1(sK9(sK16))
| r1(sK11(sK9(sK16)),sK12(sK9(sK16)))
| ~ r1(sK16,sK8(sK16))
| ~ spl21_4
| ~ spl21_29 ),
inference(resolution,[],[f1179,f745]) ).
fof(f1198,plain,
( p1(sK9(sK16))
| r1(sK9(sK16),sK11(sK9(sK16)))
| ~ r1(sK16,sK8(sK16))
| ~ spl21_4
| ~ spl21_29 ),
inference(resolution,[],[f1179,f746]) ).
fof(f1199,plain,
( p1(sK9(sK16))
| p1(sK11(sK9(sK16)))
| ~ r1(sK16,sK8(sK16))
| ~ spl21_4
| ~ spl21_29 ),
inference(resolution,[],[f1179,f748]) ).
fof(f1200,plain,
( p1(sK11(sK9(sK16)))
| ~ r1(sK16,sK8(sK16))
| ~ spl21_4
| ~ spl21_29 ),
inference(forward_subsumption_resolution,[],[f1199,f1178]) ).
fof(f1201,plain,
( r1(sK9(sK16),sK11(sK9(sK16)))
| ~ r1(sK16,sK8(sK16))
| ~ spl21_4
| ~ spl21_29 ),
inference(forward_subsumption_resolution,[],[f1198,f1178]) ).
fof(f1202,plain,
( r1(sK11(sK9(sK16)),sK12(sK9(sK16)))
| ~ r1(sK16,sK8(sK16))
| ~ spl21_4
| ~ spl21_29 ),
inference(forward_subsumption_resolution,[],[f1197,f1178]) ).
fof(f1203,plain,
( p1(sK11(sK9(sK16)))
| ~ spl21_4
| ~ spl21_29 ),
inference(forward_subsumption_resolution,[],[f1200,f1180]) ).
fof(f1204,plain,
( r1(sK9(sK16),sK11(sK9(sK16)))
| ~ spl21_4
| ~ spl21_29 ),
inference(forward_subsumption_resolution,[],[f1201,f1180]) ).
fof(f1205,plain,
( r1(sK11(sK9(sK16)),sK12(sK9(sK16)))
| ~ spl21_4
| ~ spl21_29 ),
inference(forward_subsumption_resolution,[],[f1202,f1180]) ).
fof(f1259,definition,
( spl21_169
<=> ! [X1] :
( ~ r1(sK11(sK9(sK16)),X1)
| p1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl21_169])],[avatar_definition]) ).
fof(f1260,plain,
( ! [X1] :
( ~ r1(sK11(sK9(sK16)),X1)
| p1(X1) )
| ~ spl21_169 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f1486,definition,
( spl21_211
<=> p1(sK12(sK9(sK16))) ),
introduced(definition,[new_symbols(definition,[spl21_211])],[avatar_definition]) ).
fof(f1488,plain,
( p1(sK12(sK9(sK16)))
| ~ spl21_211 ),
inference(avatar_component_clause,[],[f1486]) ).
fof(f1536,plain,
( p1(sK12(sK9(sK16)))
| ~ spl21_4
| ~ spl21_29
| ~ spl21_169 ),
inference(resolution,[],[f1260,f1205]) ).
fof(f1537,plain,
( spl21_211
| ~ spl21_4
| ~ spl21_29
| ~ spl21_169 ),
inference(avatar_split_clause,[],[f1536,f1259,f235,f85,f1486]) ).
fof(f1539,plain,
( ! [X0] :
( p1(sK9(sK16))
| ~ r1(X0,sK9(sK16))
| ~ r1(sK16,X0) )
| ~ spl21_4
| ~ spl21_211 ),
inference(resolution,[],[f1488,f747]) ).
fof(f1546,plain,
( ! [X0] :
( ~ r1(X0,sK9(sK16))
| ~ r1(sK16,X0) )
| ~ spl21_4
| ~ spl21_29
| ~ spl21_211 ),
inference(forward_subsumption_resolution,[],[f1539,f1178]) ).
fof(f1549,plain,
( ~ r1(sK16,sK8(sK16))
| ~ spl21_4
| ~ spl21_29
| ~ spl21_211 ),
inference(resolution,[],[f1546,f1179]) ).
fof(f1550,plain,
( $false
| ~ spl21_4
| ~ spl21_29
| ~ spl21_211 ),
inference(forward_subsumption_resolution,[],[f1549,f1180]) ).
fof(f1551,plain,
( ~ spl21_4
| ~ spl21_29
| ~ spl21_211 ),
inference(avatar_contradiction_clause,[],[f1550]) ).
fof(f1565,plain,
( ! [X0,X1] :
( ~ r1(sK11(sK9(sK16)),X0)
| p1(X0)
| ~ r1(X1,sK11(sK9(sK16)))
| p1(X1)
| ~ r1(sK8(sK16),X1) )
| ~ spl21_4
| ~ spl21_29 ),
inference(resolution,[],[f1174,f1203]) ).
fof(f1572,definition,
( spl21_221
<=> ! [X1] :
( ~ r1(X1,sK11(sK9(sK16)))
| ~ r1(sK8(sK16),X1)
| p1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl21_221])],[avatar_definition]) ).
fof(f1573,plain,
( ! [X1] :
( ~ r1(X1,sK11(sK9(sK16)))
| ~ r1(sK8(sK16),X1)
| p1(X1) )
| ~ spl21_221 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f1574,plain,
( spl21_221
| spl21_169
| ~ spl21_4
| ~ spl21_29 ),
inference(avatar_split_clause,[],[f1565,f235,f85,f1259,f1572]) ).
fof(f1864,plain,
( ~ r1(sK8(sK16),sK9(sK16))
| p1(sK9(sK16))
| ~ spl21_4
| ~ spl21_29
| ~ spl21_221 ),
inference(resolution,[],[f1573,f1204]) ).
fof(f1865,plain,
( p1(sK9(sK16))
| ~ spl21_4
| ~ spl21_29
| ~ spl21_221 ),
inference(forward_subsumption_resolution,[],[f1864,f1179]) ).
fof(f1866,plain,
( $false
| ~ spl21_4
| ~ spl21_29
| ~ spl21_221 ),
inference(forward_subsumption_resolution,[],[f1865,f1178]) ).
fof(f1867,plain,
( ~ spl21_4
| ~ spl21_29
| ~ spl21_221 ),
inference(avatar_contradiction_clause,[],[f1866]) ).
cnf(s2,plain,
( spl21_3
| spl21_4 ),
inference(sat_conversion,[],[f88]) ).
cnf(s3,plain,
( ~ spl21_3
| spl21_5
| spl21_6 ),
inference(sat_conversion,[],[f103]) ).
cnf(s4,plain,
( ~ spl21_3
| spl21_6
| spl21_7 ),
inference(sat_conversion,[],[f108]) ).
cnf(s5,plain,
( ~ spl21_3
| spl21_6
| spl21_8 ),
inference(sat_conversion,[],[f113]) ).
cnf(s10,plain,
( spl21_15
| spl21_16 ),
inference(sat_conversion,[],[f155]) ).
cnf(s11,plain,
( spl21_17
| ~ spl21_18
| spl21_19 ),
inference(sat_conversion,[],[f168]) ).
cnf(s12,plain,
( spl21_17
| spl21_19
| spl21_20 ),
inference(sat_conversion,[],[f177]) ).
cnf(s15,plain,
( ~ spl21_15
| spl21_16
| spl21_25 ),
inference(sat_conversion,[],[f200]) ).
cnf(s16,plain,
( spl21_17
| spl21_20
| spl21_26 ),
inference(sat_conversion,[],[f206]) ).
cnf(s18,plain,
~ spl21_21,
inference(sat_conversion,[],[f230]) ).
cnf(s20,plain,
( ~ spl21_17
| spl21_21
| spl21_29
| spl21_31 ),
inference(sat_conversion,[],[f245]) ).
cnf(s21,plain,
( ~ spl21_17
| spl21_21
| spl21_29
| spl21_32 ),
inference(sat_conversion,[],[f249]) ).
cnf(s23,plain,
( ~ spl21_19
| ~ spl21_26 ),
inference(sat_conversion,[],[f265]) ).
cnf(s24,plain,
( spl21_17
| spl21_26
| spl21_35 ),
inference(sat_conversion,[],[f271]) ).
cnf(s26,plain,
( ~ spl21_17
| spl21_21
| spl21_29
| spl21_38 ),
inference(sat_conversion,[],[f293]) ).
cnf(s27,plain,
( spl21_17
| spl21_19
| spl21_35 ),
inference(sat_conversion,[],[f295]) ).
cnf(s40,plain,
( spl21_4
| ~ spl21_6 ),
inference(sat_conversion,[],[f427]) ).
cnf(s73,plain,
( ~ spl21_5
| spl21_102
| spl21_103 ),
inference(sat_conversion,[],[f715]) ).
cnf(s77,plain,
( ~ spl21_3
| spl21_6
| ~ spl21_8
| ~ spl21_102 ),
inference(sat_conversion,[],[f740]) ).
cnf(s78,plain,
( spl21_4
| ~ spl21_7
| ~ spl21_103 ),
inference(sat_conversion,[],[f744]) ).
cnf(s83,plain,
( spl21_18
| ~ spl21_20
| ~ spl21_39
| spl21_94 ),
inference(sat_conversion,[],[f852]) ).
cnf(s84,plain,
( spl21_17
| ~ spl21_18
| spl21_26 ),
inference(sat_conversion,[],[f855]) ).
cnf(s88,plain,
( spl21_18
| ~ spl21_20
| ~ spl21_94 ),
inference(sat_conversion,[],[f877]) ).
cnf(s89,plain,
( spl21_18
| ~ spl21_20
| ~ spl21_35
| spl21_39 ),
inference(sat_conversion,[],[f879]) ).
cnf(s104,plain,
( ~ spl21_38
| ~ spl21_41
| spl21_134 ),
inference(sat_conversion,[],[f982]) ).
cnf(s107,plain,
( ~ spl21_31
| ~ spl21_134 ),
inference(sat_conversion,[],[f1001]) ).
cnf(s125,plain,
( ~ spl21_16
| ~ spl21_32
| spl21_41 ),
inference(sat_conversion,[],[f1153]) ).
cnf(s128,plain,
~ spl21_25,
inference(sat_conversion,[],[f1173]) ).
cnf(s169,plain,
( ~ spl21_4
| ~ spl21_29
| ~ spl21_169
| spl21_211 ),
inference(sat_conversion,[],[f1537]) ).
cnf(s171,plain,
( ~ spl21_4
| ~ spl21_29
| ~ spl21_211 ),
inference(sat_conversion,[],[f1551]) ).
cnf(s174,plain,
( ~ spl21_4
| ~ spl21_29
| spl21_169
| spl21_221 ),
inference(sat_conversion,[],[f1574]) ).
cnf(s223,plain,
( ~ spl21_4
| ~ spl21_29
| ~ spl21_221 ),
inference(sat_conversion,[],[f1867]) ).
cnf(s225,plain,
( ~ spl21_15
| spl21_16 ),
inference(rat,[],[s15,s128]) ).
cnf(s231,plain,
( ~ spl21_20
| ~ spl21_35
| spl21_18 ),
inference(rat,[],[s83,s88,s89]) ).
cnf(s232,plain,
( spl21_19
| spl21_18
| spl21_17 ),
inference(rat,[],[s231,s12,s27]) ).
cnf(s233,plain,
( spl21_18
| spl21_17 ),
inference(rat,[],[s231,s16,s24,s23,s232]) ).
cnf(s234,plain,
( ~ spl21_18
| spl21_17 ),
inference(rat,[],[s23,s11,s84]) ).
cnf(s235,plain,
spl21_17,
inference(rat,[],[s234,s233]) ).
cnf(s237,plain,
( spl21_29
| ~ spl21_16 ),
inference(rat,[],[s104,s107,s125,s20,s21,s26,s18,s235]) ).
cnf(s238,plain,
( ~ spl21_29
| spl21_221
| ~ spl21_4 ),
inference(rat,[],[s169,s171,s174]) ).
cnf(s239,plain,
( ~ spl21_29
| ~ spl21_4 ),
inference(rat,[],[s238,s223]) ).
cnf(s240,plain,
spl21_16,
inference(rat,[],[s10,s225]) ).
cnf(s241,plain,
spl21_29,
inference(rat,[],[s237,s240]) ).
cnf(s242,plain,
~ spl21_4,
inference(rat,[],[s239,s241]) ).
cnf(s251,plain,
~ spl21_6,
inference(rat,[],[s40,s242]) ).
cnf(s252,plain,
spl21_3,
inference(rat,[],[s2,s242]) ).
cnf(s257,plain,
spl21_8,
inference(rat,[],[s5,s252,s251]) ).
cnf(s258,plain,
spl21_7,
inference(rat,[],[s4,s252,s251]) ).
cnf(s260,plain,
spl21_5,
inference(rat,[],[s3,s251,s252]) ).
cnf(s261,plain,
~ spl21_102,
inference(rat,[],[s77,s251,s252,s257]) ).
cnf(s262,plain,
~ spl21_103,
inference(rat,[],[s78,s242,s258]) ).
cnf(s264,plain,
$false,
inference(rat,[],[s73,s262,s260,s261]) ).
fof(f1868,plain,
$false,
inference(avatar_sat_refutation,[],[s264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL640+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n009.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 16:09:15 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.50 % (2220461)Will run a generic schedule for satisfiability detection.
% 0.16/0.50 % (2220470)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2404487553:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.50 % (2220467)% WARNING: option uhcvi not known.
% 0.16/0.50 % (2220466)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2363377901_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.50 % (2220467)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2766694877:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.50 % (2220468)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3790497170:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.50 % (2220469)dis+10_1_sil=32000:sp=arity:random_seed=1677202666:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.50 % (2220471)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2272850113:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.50 % (2220472)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4179129709:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.50 % TRYING [1]
% 0.16/0.50 % TRYING [2]
% 0.16/0.50 % TRYING [3]
% 0.16/0.50 % TRYING [4]
% 0.16/0.50 % (2220470)Instruction limit reached!
% 0.16/0.50 % (2220470)------------------------------
% 0.16/0.50 % (2220470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.50 % (2220470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.50 % (2220470)CaDiCaL version: 2.1.3
% 0.16/0.50 % (2220470)Termination reason: Instruction limit
% 0.16/0.50 % (2220470)Termination phase: Saturation
% 0.16/0.50 % (2220470)Time elapsed: 0.033 s
% 0.16/0.50 % (2220470)Peak memory usage: 12 MB
% 0.16/0.50 % (2220470)Instructions burned: 119 (million)
% 0.16/0.50 % (2220471) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2220461-2220471"...
% 0.16/0.50 % (2220471)...printing done.
% 0.16/0.50 % (2220471)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Theorem for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (2220471)------------------------------
% 0.16/0.50 % (2220471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.50 % (2220471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.50 % (2220471)CaDiCaL version: 2.1.3
% 0.16/0.50 % (2220471)Termination reason: Refutation
% 0.16/0.50 % (2220471)Time elapsed: 0.030 s
% 0.16/0.50 % (2220471)Peak memory usage: 13 MB
% 0.16/0.50 % (2220471)Instructions burned: 44 (million)
% 0.16/0.50 % (2220461)Success in time 0.066 s
% 0.16/0.50 % Vampire exiting
%------------------------------------------------------------------------------