%------------------------------------------------------------------------------
% File : Vampire---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/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 11:53:42 AM UTC 2026
% Result : Theorem 2.54s 1.31s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 31
% Syntax : Number of formulae : 305 ( 25 unt; 30 def)
% Number of atoms : 1656 ( 0 equ)
% Maximal formula atoms : 62 ( 5 avg)
% Number of connectives : 2412 (1061 ~;1178 |; 147 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 33 ( 32 usr; 27 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-1 aty)
% Number of variables : 541 ( 0 sgn 477 !; 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/sandbox/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] :
( ~ p1(sK5(X2))
| p1(X1)
| ~ p1(X0)
| ~ r1(X0,X2)
| ~ r1(X0,X1)
| sP1(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f27,plain,
! [X2,X0,X1] :
( r1(sK4(X2),sK5(X2))
| p1(X1)
| ~ p1(X0)
| ~ r1(X0,X2)
| ~ r1(X0,X1)
| sP1(X0)
| ~ sP3(X0) ),
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] :
( ~ p1(sK6(X1))
| ~ r1(X0,X1)
| p1(X0)
| ~ r1(sK7(X0),X4)
| ~ r1(X4,X5)
| p1(X5)
| ~ p1(X4)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f30,plain,
! [X0,X1] :
( ~ p1(sK7(X0))
| ~ r1(X0,X1)
| ~ p1(sK6(X1))
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f31,plain,
! [X0,X1] :
( ~ p1(sK6(X1))
| ~ r1(X0,X1)
| p1(X0)
| r1(X0,sK7(X0))
| ~ sP2(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] :
( ~ p1(sK7(X0))
| ~ r1(X0,X1)
| r1(X1,sK6(X1))
| p1(X0)
| ~ sP2(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] :
( ~ p1(sK9(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f40,plain,
! [X0] :
( r1(sK8(X0),sK9(X0))
| ~ sP1(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] :
( p1(sK11(X2))
| ~ r1(X1,X2)
| p1(X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ p1(sK12(X2))
| ~ r1(X1,X2)
| p1(X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f44,plain,
! [X2,X0,X1] :
( r1(sK11(X2),sK12(X2))
| ~ r1(X1,X2)
| p1(X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
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] :
( p1(sK19(X13))
| p1(X13)
| ~ r1(sK16,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(sK19(X13),sK20(X13))
| p1(X13)
| ~ r1(sK16,X13) ),
inference(cnf_transformation,[],[f24]) ).
fof(f49,plain,
! [X13] :
( r1(X13,sK19(X13))
| p1(X13)
| ~ r1(sK16,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] :
( sP0(X1)
| ~ r1(sK13,X1)
| ~ r1(sK15(X1),X7)
| ~ r1(X7,X8)
| p1(X8)
| ~ p1(X7) ),
inference(cnf_transformation,[],[f24]) ).
fof(f56,plain,
! [X1] :
( ~ p1(sK15(X1))
| sP0(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f57,plain,
! [X1] :
( sP0(X1)
| ~ r1(sK13,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(X2,sK14(X2))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| p1(X4)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f60,plain,
! [X1] :
( sP2(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f61,plain,
! [X1] :
( sP3(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ r1(X0,sK18)
| ~ r1(sK18,X1)
| ~ r1(X1,X2)
| p1(X2)
| ~ r1(sK13,X0)
| p1(sK14(sK18)) ),
inference(resolution,[],[f59,f50]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ r1(X0,sK18)
| ~ r1(sK18,X1)
| ~ r1(X1,X2)
| p1(X2)
| ~ r1(sK13,X0) ),
inference(forward_subsumption_resolution,[],[f63,f58]) ).
fof(f66,definition,
( spl21_1
<=> ! [X2,X1] :
( ~ r1(sK18,X1)
| p1(X2)
| ~ r1(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).
fof(f67,plain,
( ! [X2,X1] :
( ~ r1(sK18,X1)
| p1(X2)
| ~ r1(X1,X2) )
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,definition,
( spl21_2
<=> ! [X0] :
( ~ r1(X0,sK18)
| ~ r1(sK13,X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).
fof(f70,plain,
( ! [X0] :
( ~ r1(X0,sK18)
| ~ r1(sK13,X0) )
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f71,plain,
( spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f64,f69,f66]) ).
fof(f72,plain,
( ~ r1(sK13,sK16)
| ~ spl21_2 ),
inference(resolution,[],[f70,f51]) ).
fof(f73,plain,
( $false
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f72,f54]) ).
fof(f74,plain,
~ spl21_2,
inference(avatar_contradiction_clause,[],[f73]) ).
fof(f117,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK15(X2),X3)
| p1(X1)
| r1(X1,sK11(X1))
| ~ r1(X2,X0)
| ~ r1(sK13,X2)
| ~ r1(X0,X1)
| ~ r1(X3,X4)
| p1(X4)
| ~ p1(X3) ),
inference(resolution,[],[f45,f55]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ r1(sK13,X2)
| p1(X1)
| r1(X1,sK11(X1))
| ~ r1(X2,X0)
| ~ r1(X0,X1)
| r1(X2,sK15(X2)) ),
inference(resolution,[],[f45,f57]) ).
fof(f119,plain,
! [X0,X1] :
( p1(X0)
| r1(X0,sK11(X0))
| ~ r1(sK16,X1)
| ~ r1(X1,X0)
| r1(sK16,sK15(sK16)) ),
inference(resolution,[],[f118,f54]) ).
fof(f167,definition,
( spl21_21
<=> r1(sK16,sK15(sK16)) ),
introduced(definition,[new_symbols(definition,[spl21_21])],[avatar_definition]) ).
fof(f169,plain,
( r1(sK16,sK15(sK16))
| ~ spl21_21 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f171,definition,
( spl21_22
<=> ! [X0,X1] :
( p1(X0)
| ~ r1(sK16,X1)
| ~ r1(X1,X0)
| r1(X0,sK11(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl21_22])],[avatar_definition]) ).
fof(f172,plain,
( ! [X0,X1] :
( ~ r1(sK16,X1)
| p1(X0)
| ~ r1(X1,X0)
| r1(X0,sK11(X0)) )
| ~ spl21_22 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f173,plain,
( spl21_21
| spl21_22 ),
inference(avatar_split_clause,[],[f119,f171,f167]) ).
fof(f174,plain,
! [X0,X1] :
( ~ r1(sK13,X0)
| r1(X1,sK6(X1))
| r1(X0,sK7(X0))
| p1(X0)
| ~ r1(X0,X1) ),
inference(resolution,[],[f34,f60]) ).
fof(f180,plain,
! [X2,X0,X1] :
( sP1(X1)
| ~ p1(X1)
| ~ r1(X1,X2)
| r1(X2,sK4(X2))
| p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK13,X1) ),
inference(resolution,[],[f28,f61]) ).
fof(f197,plain,
! [X0] :
( r1(X0,sK6(X0))
| r1(sK16,sK7(sK16))
| p1(sK16)
| ~ r1(sK16,X0) ),
inference(resolution,[],[f174,f54]) ).
fof(f202,definition,
( spl21_25
<=> p1(sK16) ),
introduced(definition,[new_symbols(definition,[spl21_25])],[avatar_definition]) ).
fof(f203,plain,
( ~ p1(sK16)
| spl21_25 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f204,plain,
( p1(sK16)
| ~ spl21_25 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f206,definition,
( spl21_26
<=> r1(sK16,sK7(sK16)) ),
introduced(definition,[new_symbols(definition,[spl21_26])],[avatar_definition]) ).
fof(f208,plain,
( r1(sK16,sK7(sK16))
| ~ spl21_26 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f210,definition,
( spl21_27
<=> ! [X0] :
( r1(X0,sK6(X0))
| ~ r1(sK16,X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_27])],[avatar_definition]) ).
fof(f211,plain,
( ! [X0] :
( ~ r1(sK16,X0)
| r1(X0,sK6(X0)) )
| ~ spl21_27 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f212,plain,
( spl21_25
| spl21_26
| spl21_27 ),
inference(avatar_split_clause,[],[f197,f210,f206,f202]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ r1(sK13,X0)
| ~ r1(X0,X1)
| r1(X1,sK4(X1))
| p1(X2)
| ~ r1(X0,X2)
| ~ p1(X0)
| r1(X0,sK8(X0)) ),
inference(resolution,[],[f180,f41]) ).
fof(f218,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK7(X0),X2)
| r1(X1,sK6(X1))
| ~ r1(X0,X1)
| ~ r1(X2,X3)
| p1(X3)
| ~ p1(X2)
| p1(X0)
| ~ r1(sK13,X0) ),
inference(resolution,[],[f32,f60]) ).
fof(f219,plain,
! [X0,X1] :
( ~ r1(sK16,X0)
| r1(X0,sK4(X0))
| p1(X1)
| ~ r1(sK16,X1)
| ~ p1(sK16)
| r1(sK16,sK8(sK16)) ),
inference(resolution,[],[f217,f54]) ).
fof(f227,definition,
( spl21_28
<=> r1(sK16,sK8(sK16)) ),
introduced(definition,[new_symbols(definition,[spl21_28])],[avatar_definition]) ).
fof(f229,plain,
( r1(sK16,sK8(sK16))
| ~ spl21_28 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f231,definition,
( spl21_29
<=> ! [X1] :
( p1(X1)
| ~ r1(sK16,X1) ) ),
introduced(definition,[new_symbols(definition,[spl21_29])],[avatar_definition]) ).
fof(f232,plain,
( ! [X1] :
( ~ r1(sK16,X1)
| p1(X1) )
| ~ spl21_29 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f234,definition,
( spl21_30
<=> ! [X0] :
( ~ r1(sK16,X0)
| r1(X0,sK4(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl21_30])],[avatar_definition]) ).
fof(f235,plain,
( ! [X0] :
( ~ r1(sK16,X0)
| r1(X0,sK4(X0)) )
| ~ spl21_30 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,plain,
( spl21_28
| ~ spl21_25
| spl21_29
| spl21_30 ),
inference(avatar_split_clause,[],[f219,f234,f231,f202,f227]) ).
fof(f238,plain,
! [X2,X0,X1] :
( r1(X0,sK6(X0))
| ~ r1(X1,X0)
| ~ r1(sK19(sK7(X1)),X2)
| p1(X2)
| ~ p1(sK19(sK7(X1)))
| p1(X1)
| ~ r1(sK13,X1)
| p1(sK7(X1))
| ~ r1(sK16,sK7(X1)) ),
inference(resolution,[],[f218,f49]) ).
fof(f241,plain,
! [X2,X0,X1] :
( ~ r1(sK16,sK7(X1))
| ~ r1(X1,X0)
| ~ r1(sK19(sK7(X1)),X2)
| p1(X2)
| p1(X1)
| ~ r1(sK13,X1)
| p1(sK7(X1))
| r1(X0,sK6(X0)) ),
inference(forward_subsumption_resolution,[],[f238,f46]) ).
fof(f242,plain,
! [X2,X3,X0,X1] :
( p1(X0)
| r1(X0,sK11(X0))
| ~ r1(X1,X2)
| ~ r1(sK13,X1)
| ~ r1(X2,X0)
| ~ r1(sK19(sK15(X1)),X3)
| p1(X3)
| ~ p1(sK19(sK15(X1)))
| p1(sK15(X1))
| ~ r1(sK16,sK15(X1)) ),
inference(resolution,[],[f117,f49]) ).
fof(f246,plain,
! [X2,X3,X0,X1] :
( p1(sK15(X1))
| r1(X0,sK11(X0))
| ~ r1(X1,X2)
| ~ r1(sK13,X1)
| ~ r1(X2,X0)
| ~ r1(sK19(sK15(X1)),X3)
| p1(X3)
| p1(X0)
| ~ r1(sK16,sK15(X1)) ),
inference(forward_subsumption_resolution,[],[f242,f46]) ).
fof(f247,plain,
( ! [X0,X1] :
( ~ r1(sK16,X0)
| ~ r1(sK19(sK7(sK16)),X1)
| p1(X1)
| p1(sK16)
| ~ r1(sK13,sK16)
| p1(sK7(sK16))
| r1(X0,sK6(X0)) )
| ~ spl21_26 ),
inference(resolution,[],[f241,f208]) ).
fof(f250,plain,
( ! [X0,X1] :
( ~ r1(sK16,X0)
| ~ r1(sK19(sK7(sK16)),X1)
| p1(X1)
| ~ r1(sK13,sK16)
| p1(sK7(sK16))
| r1(X0,sK6(X0)) )
| spl21_25
| ~ spl21_26 ),
inference(forward_subsumption_resolution,[],[f247,f203]) ).
fof(f252,plain,
( ! [X0,X1] :
( ~ r1(sK16,X0)
| ~ r1(sK19(sK7(sK16)),X1)
| p1(X1)
| p1(sK7(sK16))
| r1(X0,sK6(X0)) )
| spl21_25
| ~ spl21_26 ),
inference(forward_subsumption_resolution,[],[f250,f54]) ).
fof(f255,definition,
( spl21_31
<=> p1(sK7(sK16)) ),
introduced(definition,[new_symbols(definition,[spl21_31])],[avatar_definition]) ).
fof(f256,plain,
( ~ p1(sK7(sK16))
| spl21_31 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f257,plain,
( p1(sK7(sK16))
| ~ spl21_31 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f259,definition,
( spl21_32
<=> ! [X1] :
( ~ r1(sK19(sK7(sK16)),X1)
| p1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl21_32])],[avatar_definition]) ).
fof(f260,plain,
( ! [X1] :
( ~ r1(sK19(sK7(sK16)),X1)
| p1(X1) )
| ~ spl21_32 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f261,plain,
( spl21_31
| spl21_32
| spl21_27
| spl21_25
| ~ spl21_26 ),
inference(avatar_split_clause,[],[f252,f206,f202,f210,f259,f255]) ).
fof(f272,plain,
( r1(sK18,sK6(sK18))
| ~ spl21_27 ),
inference(resolution,[],[f211,f51]) ).
fof(f290,plain,
! [X2,X3,X0,X1] :
( r1(X0,sK11(X0))
| ~ r1(X1,X2)
| ~ r1(sK13,X1)
| ~ r1(X2,X0)
| ~ r1(sK19(sK15(X1)),X3)
| p1(X3)
| p1(X0)
| ~ r1(sK16,sK15(X1))
| sP0(X1)
| ~ r1(sK13,X1) ),
inference(resolution,[],[f246,f56]) ).
fof(f291,plain,
! [X2,X3,X0,X1] :
( r1(X0,sK11(X0))
| ~ r1(X1,X2)
| ~ r1(sK13,X1)
| ~ r1(X2,X0)
| ~ r1(sK19(sK15(X1)),X3)
| p1(X3)
| p1(X0)
| ~ r1(sK16,sK15(X1))
| sP0(X1) ),
inference(duplicate_literal_removal,[],[f290]) ).
fof(f292,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK16,sK15(X1))
| ~ r1(X1,X2)
| ~ r1(sK13,X1)
| ~ r1(X2,X0)
| ~ r1(sK19(sK15(X1)),X3)
| p1(X3)
| p1(X0)
| r1(X0,sK11(X0)) ),
inference(forward_subsumption_resolution,[],[f291,f45]) ).
fof(f320,plain,
( p1(sK6(sK18))
| ~ spl21_27 ),
inference(resolution,[],[f272,f50]) ).
fof(f332,definition,
( spl21_41
<=> ! [X2,X4,X3] :
( ~ r1(X2,X3)
| ~ r1(sK8(sK16),X2)
| p1(X2)
| ~ p1(X3)
| p1(X4)
| ~ r1(X3,X4) ) ),
introduced(definition,[new_symbols(definition,[spl21_41])],[avatar_definition]) ).
fof(f333,plain,
( ! [X2,X3,X4] :
( ~ r1(sK8(sK16),X2)
| ~ r1(X2,X3)
| p1(X2)
| ~ p1(X3)
| p1(X4)
| ~ r1(X3,X4) )
| ~ spl21_41 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f339,plain,
( ! [X0,X1] :
( ~ r1(sK9(sK16),X0)
| p1(sK9(sK16))
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1)
| ~ sP1(sK16) )
| ~ spl21_41 ),
inference(resolution,[],[f333,f40]) ).
fof(f354,plain,
( ! [X0,X1] :
( ~ r1(sK9(sK16),X0)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1)
| ~ sP1(sK16) )
| ~ spl21_41 ),
inference(forward_subsumption_resolution,[],[f339,f39]) ).
fof(f366,definition,
( spl21_48
<=> sP1(sK16) ),
introduced(definition,[new_symbols(definition,[spl21_48])],[avatar_definition]) ).
fof(f367,plain,
( sP1(sK16)
| ~ spl21_48 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f368,plain,
( ~ sP1(sK16)
| spl21_48 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f370,definition,
( spl21_49
<=> ! [X0,X1] :
( ~ r1(sK9(sK16),X0)
| ~ r1(X0,X1)
| p1(X1)
| ~ p1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_49])],[avatar_definition]) ).
fof(f371,plain,
( ! [X0,X1] :
( ~ r1(sK9(sK16),X0)
| ~ r1(X0,X1)
| p1(X1)
| ~ p1(X0) )
| ~ spl21_49 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f372,plain,
( ~ spl21_48
| spl21_49
| ~ spl21_41 ),
inference(avatar_split_clause,[],[f354,f332,f370,f366]) ).
fof(f373,plain,
( ! [X0,X1] :
( ~ p1(sK16)
| ~ r1(sK16,X0)
| r1(X0,sK4(X0))
| p1(X1)
| ~ r1(sK16,X1)
| ~ r1(sK13,sK16) )
| spl21_48 ),
inference(resolution,[],[f368,f180]) ).
fof(f374,plain,
( ! [X0,X1] :
( ~ r1(sK16,X0)
| r1(X0,sK4(X0))
| p1(X1)
| ~ r1(sK16,X1)
| ~ r1(sK13,sK16) )
| ~ spl21_25
| spl21_48 ),
inference(forward_subsumption_resolution,[],[f373,f204]) ).
fof(f375,plain,
( ! [X0,X1] :
( ~ r1(sK16,X0)
| r1(X0,sK4(X0))
| p1(X1)
| ~ r1(sK16,X1) )
| ~ spl21_25
| spl21_48 ),
inference(forward_subsumption_resolution,[],[f374,f54]) ).
fof(f376,plain,
( spl21_29
| spl21_30
| ~ spl21_25
| spl21_48 ),
inference(avatar_split_clause,[],[f375,f366,f202,f234,f231]) ).
fof(f379,plain,
( p1(sK17)
| ~ spl21_29 ),
inference(resolution,[],[f232,f53]) ).
fof(f384,plain,
( $false
| ~ spl21_29 ),
inference(forward_subsumption_resolution,[],[f379,f52]) ).
fof(f385,plain,
~ spl21_29,
inference(avatar_contradiction_clause,[],[f384]) ).
fof(f441,plain,
( r1(sK18,sK4(sK18))
| ~ spl21_30 ),
inference(resolution,[],[f235,f51]) ).
fof(f457,definition,
( spl21_59
<=> ! [X2] :
( ~ r1(sK19(sK15(sK16)),X2)
| p1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl21_59])],[avatar_definition]) ).
fof(f458,plain,
( ! [X2] :
( ~ r1(sK19(sK15(sK16)),X2)
| p1(X2) )
| ~ spl21_59 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f466,plain,
( ! [X0] :
( ~ r1(sK8(sK16),X0)
| p1(X0)
| r1(X0,sK11(X0)) )
| ~ spl21_22
| ~ spl21_28 ),
inference(resolution,[],[f172,f229]) ).
fof(f500,plain,
( ! [X0] :
( ~ r1(sK4(sK18),X0)
| p1(X0) )
| ~ spl21_1
| ~ spl21_30 ),
inference(resolution,[],[f441,f67]) ).
fof(f528,plain,
( ! [X0,X1] :
( p1(sK5(sK18))
| p1(X0)
| ~ p1(X1)
| ~ r1(X1,sK18)
| ~ r1(X1,X0)
| sP1(X1)
| ~ sP3(X1) )
| ~ spl21_1
| ~ spl21_30 ),
inference(resolution,[],[f500,f27]) ).
fof(f532,plain,
( ! [X0,X1] :
( ~ sP3(X1)
| ~ p1(X1)
| ~ r1(X1,sK18)
| ~ r1(X1,X0)
| sP1(X1)
| p1(X0) )
| ~ spl21_1
| ~ spl21_30 ),
inference(forward_subsumption_resolution,[],[f528,f26]) ).
fof(f582,definition,
( spl21_75
<=> p1(sK9(sK16)) ),
introduced(definition,[new_symbols(definition,[spl21_75])],[avatar_definition]) ).
fof(f583,plain,
( ~ p1(sK9(sK16))
| spl21_75 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f584,plain,
( p1(sK9(sK16))
| ~ spl21_75 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f604,plain,
( ! [X2,X0,X1] :
( ~ r1(sK16,X0)
| ~ r1(sK13,sK16)
| ~ r1(X0,X1)
| ~ r1(sK19(sK15(sK16)),X2)
| p1(X2)
| p1(X1)
| r1(X1,sK11(X1)) )
| ~ spl21_21 ),
inference(resolution,[],[f169,f292]) ).
fof(f606,plain,
( ! [X2,X0,X1] :
( ~ r1(sK16,X0)
| ~ r1(X0,X1)
| ~ r1(sK19(sK15(sK16)),X2)
| p1(X2)
| p1(X1)
| r1(X1,sK11(X1)) )
| ~ spl21_21 ),
inference(forward_subsumption_resolution,[],[f604,f54]) ).
fof(f607,plain,
( spl21_59
| spl21_22
| ~ spl21_21 ),
inference(avatar_split_clause,[],[f606,f167,f171,f457]) ).
fof(f619,plain,
( p1(sK20(sK15(sK16)))
| p1(sK15(sK16))
| ~ r1(sK16,sK15(sK16))
| ~ spl21_59 ),
inference(resolution,[],[f458,f48]) ).
fof(f623,plain,
( p1(sK15(sK16))
| ~ r1(sK16,sK15(sK16))
| ~ spl21_59 ),
inference(forward_subsumption_resolution,[],[f619,f47]) ).
fof(f631,plain,
( p1(sK15(sK16))
| ~ spl21_21
| ~ spl21_59 ),
inference(forward_subsumption_resolution,[],[f623,f169]) ).
fof(f632,plain,
( sP0(sK16)
| ~ r1(sK13,sK16)
| ~ spl21_21
| ~ spl21_59 ),
inference(resolution,[],[f631,f56]) ).
fof(f633,plain,
( sP0(sK16)
| ~ spl21_21
| ~ spl21_59 ),
inference(forward_subsumption_resolution,[],[f632,f54]) ).
fof(f634,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| p1(X1)
| r1(X1,sK11(X1))
| ~ r1(sK16,X0) )
| ~ spl21_21
| ~ spl21_59 ),
inference(resolution,[],[f633,f45]) ).
fof(f635,plain,
( spl21_22
| ~ spl21_21
| ~ spl21_59 ),
inference(avatar_split_clause,[],[f634,f457,f167,f171]) ).
fof(f676,plain,
( p1(sK9(sK16))
| r1(sK9(sK16),sK11(sK9(sK16)))
| ~ sP1(sK16)
| ~ spl21_22
| ~ spl21_28 ),
inference(resolution,[],[f466,f40]) ).
fof(f727,plain,
( ! [X0,X1] :
( ~ r1(X0,sK18)
| ~ p1(X0)
| ~ r1(X0,X1)
| sP1(X0)
| p1(X1)
| ~ r1(sK13,X0) )
| ~ spl21_1
| ~ spl21_30 ),
inference(resolution,[],[f532,f61]) ).
fof(f758,plain,
( ! [X0] :
( ~ p1(sK16)
| ~ r1(sK16,X0)
| sP1(sK16)
| p1(X0)
| ~ r1(sK13,sK16) )
| ~ spl21_1
| ~ spl21_30 ),
inference(resolution,[],[f727,f51]) ).
fof(f772,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| p1(X2)
| ~ p1(X1)
| p1(X0)
| ~ r1(sK8(sK16),X0) )
| ~ spl21_48 ),
inference(resolution,[],[f367,f35]) ).
fof(f773,plain,
( r1(sK16,sK8(sK16))
| ~ spl21_48 ),
inference(resolution,[],[f367,f41]) ).
fof(f776,plain,
( spl21_41
| ~ spl21_48 ),
inference(avatar_split_clause,[],[f772,f366,f332]) ).
fof(f778,plain,
( r1(sK9(sK16),sK11(sK9(sK16)))
| ~ sP1(sK16)
| ~ spl21_22
| ~ spl21_28 ),
inference(forward_subsumption_resolution,[],[f676,f39]) ).
fof(f782,plain,
( spl21_28
| ~ spl21_48 ),
inference(avatar_split_clause,[],[f773,f366,f227]) ).
fof(f783,plain,
( r1(sK9(sK16),sK11(sK9(sK16)))
| ~ spl21_22
| ~ spl21_28
| ~ spl21_48 ),
inference(forward_subsumption_resolution,[],[f778,f367]) ).
fof(f828,plain,
( ! [X0] :
( ~ r1(sK11(sK9(sK16)),X0)
| p1(X0)
| ~ p1(sK11(sK9(sK16))) )
| ~ spl21_22
| ~ spl21_28
| ~ spl21_48
| ~ spl21_49 ),
inference(resolution,[],[f783,f371]) ).
fof(f830,definition,
( spl21_105
<=> p1(sK11(sK9(sK16))) ),
introduced(definition,[new_symbols(definition,[spl21_105])],[avatar_definition]) ).
fof(f832,plain,
( ~ p1(sK11(sK9(sK16)))
| spl21_105 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f834,definition,
( spl21_106
<=> ! [X0] :
( ~ r1(sK11(sK9(sK16)),X0)
| p1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_106])],[avatar_definition]) ).
fof(f835,plain,
( ! [X0] :
( ~ r1(sK11(sK9(sK16)),X0)
| p1(X0) )
| ~ spl21_106 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f836,plain,
( ~ spl21_105
| spl21_106
| ~ spl21_22
| ~ spl21_28
| ~ spl21_48
| ~ spl21_49 ),
inference(avatar_split_clause,[],[f828,f370,f366,f227,f171,f834,f830]) ).
fof(f861,definition,
( spl21_109
<=> ! [X0,X1] :
( ~ r1(X0,sK9(sK16))
| ~ sP0(X1)
| ~ r1(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_109])],[avatar_definition]) ).
fof(f862,plain,
( ! [X0,X1] :
( ~ r1(X0,sK9(sK16))
| ~ sP0(X1)
| ~ r1(X1,X0) )
| ~ spl21_109 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f864,plain,
( ~ sP1(sK16)
| ~ spl21_75 ),
inference(resolution,[],[f584,f39]) ).
fof(f865,plain,
( $false
| ~ spl21_48
| ~ spl21_75 ),
inference(forward_subsumption_resolution,[],[f864,f367]) ).
fof(f866,plain,
( ~ spl21_48
| ~ spl21_75 ),
inference(avatar_contradiction_clause,[],[f865]) ).
fof(f884,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ r1(X0,sK8(sK16))
| ~ sP1(sK16) )
| ~ spl21_109 ),
inference(resolution,[],[f862,f40]) ).
fof(f895,plain,
( ! [X0] :
( ~ r1(X0,sK8(sK16))
| ~ sP0(X0) )
| ~ spl21_48
| ~ spl21_109 ),
inference(forward_subsumption_resolution,[],[f884,f367]) ).
fof(f917,plain,
( ~ sP0(sK16)
| ~ spl21_28
| ~ spl21_48
| ~ spl21_109 ),
inference(resolution,[],[f895,f229]) ).
fof(f918,plain,
( $false
| ~ spl21_21
| ~ spl21_28
| ~ spl21_48
| ~ spl21_59
| ~ spl21_109 ),
inference(forward_subsumption_resolution,[],[f917,f633]) ).
fof(f919,plain,
( ~ spl21_21
| ~ spl21_28
| ~ spl21_48
| ~ spl21_59
| ~ spl21_109 ),
inference(avatar_contradiction_clause,[],[f918]) ).
fof(f966,plain,
( ! [X0,X1] :
( ~ r1(X0,sK9(sK16))
| p1(sK9(sK16))
| ~ r1(X1,X0)
| ~ sP0(X1) )
| spl21_105 ),
inference(resolution,[],[f832,f42]) ).
fof(f967,plain,
( ! [X0,X1] :
( ~ r1(X0,sK9(sK16))
| ~ r1(X1,X0)
| ~ sP0(X1) )
| spl21_75
| spl21_105 ),
inference(forward_subsumption_resolution,[],[f966,f583]) ).
fof(f968,plain,
( spl21_109
| spl21_75
| spl21_105 ),
inference(avatar_split_clause,[],[f967,f830,f582,f861]) ).
fof(f977,definition,
( spl21_127
<=> p1(sK15(sK16)) ),
introduced(definition,[new_symbols(definition,[spl21_127])],[avatar_definition]) ).
fof(f978,plain,
( ~ p1(sK15(sK16))
| spl21_127 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f979,plain,
( p1(sK15(sK16))
| ~ spl21_127 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f984,plain,
( ! [X0,X1] :
( ~ r1(sK13,sK16)
| ~ r1(sK15(sK16),X0)
| ~ r1(X0,X1)
| p1(X1)
| ~ p1(X0) )
| ~ spl21_28
| ~ spl21_48
| ~ spl21_109 ),
inference(resolution,[],[f917,f55]) ).
fof(f986,plain,
( ! [X0,X1] :
( ~ r1(sK15(sK16),X0)
| ~ r1(X0,X1)
| p1(X1)
| ~ p1(X0) )
| ~ spl21_28
| ~ spl21_48
| ~ spl21_109 ),
inference(forward_subsumption_resolution,[],[f984,f54]) ).
fof(f987,plain,
( sP0(sK16)
| ~ r1(sK13,sK16)
| ~ spl21_127 ),
inference(resolution,[],[f979,f56]) ).
fof(f988,plain,
( ~ r1(sK13,sK16)
| ~ spl21_28
| ~ spl21_48
| ~ spl21_109
| ~ spl21_127 ),
inference(forward_subsumption_resolution,[],[f987,f917]) ).
fof(f989,plain,
( $false
| ~ spl21_28
| ~ spl21_48
| ~ spl21_109
| ~ spl21_127 ),
inference(forward_subsumption_resolution,[],[f988,f54]) ).
fof(f990,plain,
( ~ spl21_28
| ~ spl21_48
| ~ spl21_109
| ~ spl21_127 ),
inference(avatar_contradiction_clause,[],[f989]) ).
fof(f997,plain,
( ! [X0,X1] :
( p1(sK12(sK9(sK16)))
| ~ r1(X0,sK9(sK16))
| p1(sK9(sK16))
| ~ r1(X1,X0)
| ~ sP0(X1) )
| ~ spl21_106 ),
inference(resolution,[],[f835,f44]) ).
fof(f1000,plain,
( ! [X0,X1] :
( ~ r1(X0,sK9(sK16))
| p1(sK9(sK16))
| ~ r1(X1,X0)
| ~ sP0(X1) )
| ~ spl21_106 ),
inference(forward_subsumption_resolution,[],[f997,f43]) ).
fof(f1001,plain,
( ! [X0,X1] :
( ~ r1(X0,sK9(sK16))
| ~ r1(X1,X0)
| ~ sP0(X1) )
| spl21_75
| ~ spl21_106 ),
inference(forward_subsumption_resolution,[],[f1000,f583]) ).
fof(f1002,plain,
( spl21_109
| spl21_75
| ~ spl21_106 ),
inference(avatar_split_clause,[],[f1001,f834,f582,f861]) ).
fof(f1014,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ r1(X0,sK8(sK16))
| ~ sP1(sK16) )
| ~ spl21_109 ),
inference(resolution,[],[f862,f40]) ).
fof(f1079,plain,
( ! [X0] :
( ~ r1(sK19(sK15(sK16)),X0)
| p1(X0)
| ~ p1(sK19(sK15(sK16)))
| p1(sK15(sK16))
| ~ r1(sK16,sK15(sK16)) )
| ~ spl21_28
| ~ spl21_48
| ~ spl21_109 ),
inference(resolution,[],[f986,f49]) ).
fof(f1082,plain,
( ! [X0] :
( ~ r1(sK19(sK15(sK16)),X0)
| p1(X0)
| p1(sK15(sK16))
| ~ r1(sK16,sK15(sK16)) )
| ~ spl21_28
| ~ spl21_48
| ~ spl21_109 ),
inference(forward_subsumption_resolution,[],[f1079,f46]) ).
fof(f1083,plain,
( ! [X0] :
( ~ r1(sK19(sK15(sK16)),X0)
| p1(X0)
| ~ r1(sK16,sK15(sK16)) )
| ~ spl21_28
| ~ spl21_48
| ~ spl21_109
| spl21_127 ),
inference(forward_subsumption_resolution,[],[f1082,f978]) ).
fof(f1087,plain,
( ~ spl21_21
| spl21_59
| ~ spl21_28
| ~ spl21_48
| ~ spl21_109
| spl21_127 ),
inference(avatar_split_clause,[],[f1083,f977,f861,f366,f227,f457,f167]) ).
fof(f1098,definition,
( spl21_143
<=> ! [X0] :
( ~ sP0(X0)
| ~ r1(X0,sK8(sK16)) ) ),
introduced(definition,[new_symbols(definition,[spl21_143])],[avatar_definition]) ).
fof(f1099,plain,
( ! [X0] :
( ~ r1(X0,sK8(sK16))
| ~ sP0(X0) )
| ~ spl21_143 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1101,plain,
( ~ spl21_48
| spl21_143
| ~ spl21_109 ),
inference(avatar_split_clause,[],[f1014,f861,f1098,f366]) ).
fof(f1106,plain,
( ! [X0] :
( ~ p1(sK16)
| ~ r1(sK16,X0)
| sP1(sK16)
| p1(X0) )
| ~ spl21_1
| ~ spl21_30 ),
inference(forward_subsumption_resolution,[],[f758,f54]) ).
fof(f1116,plain,
( spl21_48
| spl21_29
| ~ spl21_25
| ~ spl21_1
| ~ spl21_30 ),
inference(avatar_split_clause,[],[f1106,f234,f66,f202,f231,f366]) ).
fof(f1125,plain,
( ! [X0] :
( ~ sP2(X0)
| p1(X0)
| r1(X0,sK7(X0))
| ~ r1(X0,sK18) )
| ~ spl21_27 ),
inference(resolution,[],[f320,f31]) ).
fof(f1180,plain,
( ~ sP0(sK16)
| ~ spl21_28
| ~ spl21_143 ),
inference(resolution,[],[f1099,f229]) ).
fof(f1182,plain,
( ~ r1(sK13,sK16)
| r1(sK16,sK15(sK16))
| ~ spl21_28
| ~ spl21_143 ),
inference(resolution,[],[f1180,f57]) ).
fof(f1183,plain,
( r1(sK16,sK15(sK16))
| ~ spl21_28
| ~ spl21_143 ),
inference(forward_subsumption_resolution,[],[f1182,f54]) ).
fof(f1185,plain,
( spl21_21
| ~ spl21_28
| ~ spl21_143 ),
inference(avatar_split_clause,[],[f1183,f1098,f227,f167]) ).
fof(f1229,plain,
( ! [X0] :
( ~ r1(X0,sK18)
| r1(X0,sK7(X0))
| p1(X0)
| ~ r1(sK13,X0) )
| ~ spl21_27 ),
inference(resolution,[],[f1125,f60]) ).
fof(f1255,plain,
( r1(sK16,sK7(sK16))
| p1(sK16)
| ~ r1(sK13,sK16)
| ~ spl21_27 ),
inference(resolution,[],[f1229,f51]) ).
fof(f1260,plain,
( r1(sK16,sK7(sK16))
| ~ r1(sK13,sK16)
| spl21_25
| ~ spl21_27 ),
inference(forward_subsumption_resolution,[],[f1255,f203]) ).
fof(f1261,plain,
( r1(sK16,sK7(sK16))
| spl21_25
| ~ spl21_27 ),
inference(forward_subsumption_resolution,[],[f1260,f54]) ).
fof(f1262,plain,
( spl21_26
| spl21_25
| ~ spl21_27 ),
inference(avatar_split_clause,[],[f1261,f210,f202,f206]) ).
fof(f1263,plain,
( ! [X0] :
( ~ r1(sK16,X0)
| r1(X0,sK6(X0))
| p1(sK16)
| ~ sP2(sK16) )
| ~ spl21_31 ),
inference(resolution,[],[f257,f33]) ).
fof(f1264,plain,
( ! [X0] :
( ~ r1(sK16,X0)
| ~ p1(sK6(X0))
| p1(sK16)
| ~ sP2(sK16) )
| ~ spl21_31 ),
inference(resolution,[],[f257,f30]) ).
fof(f1265,plain,
( ! [X0] :
( ~ r1(sK16,X0)
| ~ p1(sK6(X0))
| ~ sP2(sK16) )
| spl21_25
| ~ spl21_31 ),
inference(forward_subsumption_resolution,[],[f1264,f203]) ).
fof(f1267,definition,
( spl21_163
<=> sP2(sK16) ),
introduced(definition,[new_symbols(definition,[spl21_163])],[avatar_definition]) ).
fof(f1268,plain,
( sP2(sK16)
| ~ spl21_163 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f1269,plain,
( ~ sP2(sK16)
| spl21_163 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f1271,definition,
( spl21_164
<=> ! [X0] :
( ~ r1(sK16,X0)
| ~ p1(sK6(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl21_164])],[avatar_definition]) ).
fof(f1272,plain,
( ! [X0] :
( ~ p1(sK6(X0))
| ~ r1(sK16,X0) )
| ~ spl21_164 ),
inference(avatar_component_clause,[],[f1271]) ).
fof(f1273,plain,
( ~ spl21_163
| spl21_164
| spl21_25
| ~ spl21_31 ),
inference(avatar_split_clause,[],[f1265,f255,f202,f1271,f1267]) ).
fof(f1279,plain,
( ~ r1(sK13,sK16)
| spl21_163 ),
inference(resolution,[],[f1269,f60]) ).
fof(f1280,plain,
( $false
| spl21_163 ),
inference(forward_subsumption_resolution,[],[f1279,f54]) ).
fof(f1281,plain,
spl21_163,
inference(avatar_contradiction_clause,[],[f1280]) ).
fof(f1314,plain,
( ~ r1(sK16,sK18)
| ~ spl21_27
| ~ spl21_164 ),
inference(resolution,[],[f1272,f320]) ).
fof(f1318,plain,
( $false
| ~ spl21_27
| ~ spl21_164 ),
inference(forward_subsumption_resolution,[],[f1314,f51]) ).
fof(f1319,plain,
( ~ spl21_27
| ~ spl21_164 ),
inference(avatar_contradiction_clause,[],[f1318]) ).
fof(f1333,definition,
( spl21_173
<=> p1(sK6(sK18)) ),
introduced(definition,[new_symbols(definition,[spl21_173])],[avatar_definition]) ).
fof(f1335,plain,
( p1(sK6(sK18))
| ~ spl21_173 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f1340,plain,
( ! [X0] :
( ~ r1(sK16,X0)
| r1(X0,sK6(X0))
| ~ sP2(sK16) )
| spl21_25
| ~ spl21_31 ),
inference(forward_subsumption_resolution,[],[f1263,f203]) ).
fof(f1343,plain,
( ! [X0] :
( ~ r1(sK16,X0)
| r1(X0,sK6(X0)) )
| spl21_25
| ~ spl21_31
| ~ spl21_163 ),
inference(forward_subsumption_resolution,[],[f1340,f1268]) ).
fof(f1346,definition,
( spl21_175
<=> ! [X2,X1] :
( ~ r1(sK7(sK16),X1)
| ~ p1(X1)
| p1(X2)
| ~ r1(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl21_175])],[avatar_definition]) ).
fof(f1347,plain,
( ! [X2,X1] :
( ~ r1(sK7(sK16),X1)
| ~ p1(X1)
| p1(X2)
| ~ r1(X1,X2) )
| ~ spl21_175 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f1349,plain,
( spl21_27
| spl21_25
| ~ spl21_31
| ~ spl21_163 ),
inference(avatar_split_clause,[],[f1343,f1267,f255,f202,f210]) ).
fof(f1354,plain,
( spl21_173
| ~ spl21_27 ),
inference(avatar_split_clause,[],[f320,f210,f1333]) ).
fof(f1369,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,sK18)
| p1(X0)
| ~ r1(sK7(X0),X1)
| ~ r1(X1,X2)
| p1(X2)
| ~ p1(X1)
| ~ sP2(X0) )
| ~ spl21_173 ),
inference(resolution,[],[f1335,f29]) ).
fof(f1402,plain,
( ! [X0] :
( ~ p1(sK19(sK7(sK16)))
| p1(X0)
| ~ r1(sK19(sK7(sK16)),X0)
| p1(sK7(sK16))
| ~ r1(sK16,sK7(sK16)) )
| ~ spl21_175 ),
inference(resolution,[],[f1347,f49]) ).
fof(f1405,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK19(sK7(sK16)),X0)
| p1(sK7(sK16))
| ~ r1(sK16,sK7(sK16)) )
| ~ spl21_175 ),
inference(forward_subsumption_resolution,[],[f1402,f46]) ).
fof(f1411,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK19(sK7(sK16)),X0)
| ~ r1(sK16,sK7(sK16)) )
| spl21_31
| ~ spl21_175 ),
inference(forward_subsumption_resolution,[],[f1405,f256]) ).
fof(f1412,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK19(sK7(sK16)),X0) )
| ~ spl21_26
| spl21_31
| ~ spl21_175 ),
inference(forward_subsumption_resolution,[],[f1411,f208]) ).
fof(f1413,plain,
( spl21_32
| ~ spl21_26
| spl21_31
| ~ spl21_175 ),
inference(avatar_split_clause,[],[f1412,f1346,f255,f206,f259]) ).
fof(f1446,plain,
( ! [X0,X1] :
( p1(sK16)
| ~ r1(sK7(sK16),X0)
| ~ r1(X0,X1)
| p1(X1)
| ~ p1(X0)
| ~ sP2(sK16) )
| ~ spl21_173 ),
inference(resolution,[],[f1369,f51]) ).
fof(f1448,plain,
( ! [X0,X1] :
( ~ r1(sK7(sK16),X0)
| ~ r1(X0,X1)
| p1(X1)
| ~ p1(X0)
| ~ sP2(sK16) )
| spl21_25
| ~ spl21_173 ),
inference(forward_subsumption_resolution,[],[f1446,f203]) ).
fof(f1449,plain,
( ! [X0,X1] :
( ~ r1(sK7(sK16),X0)
| ~ r1(X0,X1)
| p1(X1)
| ~ p1(X0) )
| spl21_25
| ~ spl21_163
| ~ spl21_173 ),
inference(forward_subsumption_resolution,[],[f1448,f1268]) ).
fof(f1450,plain,
( spl21_175
| spl21_25
| ~ spl21_163
| ~ spl21_173 ),
inference(avatar_split_clause,[],[f1449,f1333,f1267,f202,f1346]) ).
fof(f1454,plain,
( p1(sK20(sK7(sK16)))
| p1(sK7(sK16))
| ~ r1(sK16,sK7(sK16))
| ~ spl21_32 ),
inference(resolution,[],[f260,f48]) ).
fof(f1458,plain,
( p1(sK7(sK16))
| ~ r1(sK16,sK7(sK16))
| ~ spl21_32 ),
inference(forward_subsumption_resolution,[],[f1454,f47]) ).
fof(f1466,plain,
( ~ r1(sK16,sK7(sK16))
| spl21_31
| ~ spl21_32 ),
inference(forward_subsumption_resolution,[],[f1458,f256]) ).
fof(f1467,plain,
( $false
| ~ spl21_26
| spl21_31
| ~ spl21_32 ),
inference(forward_subsumption_resolution,[],[f1466,f208]) ).
fof(f1468,plain,
( ~ spl21_26
| spl21_31
| ~ spl21_32 ),
inference(avatar_contradiction_clause,[],[f1467]) ).
cnf(s1,plain,
( spl21_1
| spl21_2 ),
inference(sat_conversion,[],[f71]) ).
cnf(s2,plain,
~ spl21_2,
inference(sat_conversion,[],[f74]) ).
cnf(s10,plain,
( spl21_21
| spl21_22 ),
inference(sat_conversion,[],[f173]) ).
cnf(s13,plain,
( spl21_25
| spl21_26
| spl21_27 ),
inference(sat_conversion,[],[f212]) ).
cnf(s15,plain,
( ~ spl21_25
| spl21_28
| spl21_29
| spl21_30 ),
inference(sat_conversion,[],[f237]) ).
cnf(s16,plain,
( spl21_25
| ~ spl21_26
| spl21_27
| spl21_31
| spl21_32 ),
inference(sat_conversion,[],[f261]) ).
cnf(s28,plain,
( ~ spl21_41
| ~ spl21_48
| spl21_49 ),
inference(sat_conversion,[],[f372]) ).
cnf(s29,plain,
( ~ spl21_25
| spl21_29
| spl21_30
| spl21_48 ),
inference(sat_conversion,[],[f376]) ).
cnf(s30,plain,
~ spl21_29,
inference(sat_conversion,[],[f385]) ).
cnf(s59,plain,
( ~ spl21_21
| spl21_22
| spl21_59 ),
inference(sat_conversion,[],[f607]) ).
cnf(s62,plain,
( ~ spl21_21
| spl21_22
| ~ spl21_59 ),
inference(sat_conversion,[],[f635]) ).
cnf(s81,plain,
( spl21_41
| ~ spl21_48 ),
inference(sat_conversion,[],[f776]) ).
cnf(s85,plain,
( spl21_28
| ~ spl21_48 ),
inference(sat_conversion,[],[f782]) ).
cnf(s93,plain,
( ~ spl21_22
| ~ spl21_28
| ~ spl21_48
| ~ spl21_49
| ~ spl21_105
| spl21_106 ),
inference(sat_conversion,[],[f836]) ).
cnf(s98,plain,
( ~ spl21_48
| ~ spl21_75 ),
inference(sat_conversion,[],[f866]) ).
cnf(s105,plain,
( ~ spl21_21
| ~ spl21_28
| ~ spl21_48
| ~ spl21_59
| ~ spl21_109 ),
inference(sat_conversion,[],[f919]) ).
cnf(s113,plain,
( spl21_75
| spl21_105
| spl21_109 ),
inference(sat_conversion,[],[f968]) ).
cnf(s116,plain,
( ~ spl21_28
| ~ spl21_48
| ~ spl21_109
| ~ spl21_127 ),
inference(sat_conversion,[],[f990]) ).
cnf(s118,plain,
( spl21_75
| ~ spl21_106
| spl21_109 ),
inference(sat_conversion,[],[f1002]) ).
cnf(s126,plain,
( ~ spl21_21
| ~ spl21_28
| ~ spl21_48
| spl21_59
| ~ spl21_109
| spl21_127 ),
inference(sat_conversion,[],[f1087]) ).
cnf(s132,plain,
( ~ spl21_48
| ~ spl21_109
| spl21_143 ),
inference(sat_conversion,[],[f1101]) ).
cnf(s139,plain,
( ~ spl21_1
| ~ spl21_25
| spl21_29
| ~ spl21_30
| spl21_48 ),
inference(sat_conversion,[],[f1116]) ).
cnf(s148,plain,
( spl21_21
| ~ spl21_28
| ~ spl21_143 ),
inference(sat_conversion,[],[f1185]) ).
cnf(s157,plain,
( spl21_25
| spl21_26
| ~ spl21_27 ),
inference(sat_conversion,[],[f1262]) ).
cnf(s158,plain,
( spl21_25
| ~ spl21_31
| ~ spl21_163
| spl21_164 ),
inference(sat_conversion,[],[f1273]) ).
cnf(s160,plain,
spl21_163,
inference(sat_conversion,[],[f1281]) ).
cnf(s164,plain,
( ~ spl21_27
| ~ spl21_164 ),
inference(sat_conversion,[],[f1319]) ).
cnf(s168,plain,
( spl21_25
| spl21_27
| ~ spl21_31
| ~ spl21_163 ),
inference(sat_conversion,[],[f1349]) ).
cnf(s170,plain,
( ~ spl21_27
| spl21_173 ),
inference(sat_conversion,[],[f1354]) ).
cnf(s177,plain,
( ~ spl21_26
| spl21_31
| spl21_32
| ~ spl21_175 ),
inference(sat_conversion,[],[f1413]) ).
cnf(s181,plain,
( spl21_25
| ~ spl21_163
| ~ spl21_173
| spl21_175 ),
inference(sat_conversion,[],[f1450]) ).
cnf(s187,plain,
( ~ spl21_26
| spl21_31
| ~ spl21_32 ),
inference(sat_conversion,[],[f1468]) ).
cnf(s188,plain,
( spl21_25
| ~ spl21_31
| spl21_164 ),
inference(rat,[],[s158,s160]) ).
cnf(s190,plain,
( ~ spl21_25
| spl21_30
| spl21_48 ),
inference(rat,[],[s29,s30]) ).
cnf(s193,plain,
( ~ spl21_25
| spl21_28
| spl21_30 ),
inference(rat,[],[s15,s30]) ).
cnf(s196,plain,
spl21_1,
inference(rat,[],[s1,s2]) ).
cnf(s198,plain,
( spl21_26
| spl21_25 ),
inference(rat,[],[s13,s157]) ).
cnf(s199,plain,
( spl21_27
| spl21_31
| ~ spl21_26
| spl21_25 ),
inference(rat,[],[s187,s16]) ).
cnf(s200,plain,
( spl21_27
| spl21_25 ),
inference(rat,[],[s199,s168,s198,s160]) ).
cnf(s201,plain,
spl21_25,
inference(rat,[],[s177,s187,s188,s181,s164,s170,s200,s198,s160]) ).
cnf(s202,plain,
spl21_28,
inference(rat,[],[s139,s193,s85,s30,s196,s201]) ).
cnf(s203,plain,
( ~ spl21_48
| spl21_21 ),
inference(rat,[],[s93,s28,s113,s118,s132,s81,s98,s10,s148,s202]) ).
cnf(s204,plain,
spl21_48,
inference(rat,[],[s190,s139,s201,s30,s196]) ).
cnf(s205,plain,
~ spl21_75,
inference(rat,[],[s98,s204]) ).
cnf(s206,plain,
spl21_41,
inference(rat,[],[s81,s204]) ).
cnf(s209,plain,
spl21_21,
inference(rat,[],[s203,s204]) ).
cnf(s210,plain,
spl21_49,
inference(rat,[],[s28,s204,s206]) ).
cnf(s213,plain,
( ~ spl21_109
| spl21_127 ),
inference(rat,[],[s105,s126,s204,s202,s209]) ).
cnf(s214,plain,
~ spl21_109,
inference(rat,[],[s213,s116,s202,s204]) ).
cnf(s215,plain,
~ spl21_106,
inference(rat,[],[s118,s205,s214]) ).
cnf(s216,plain,
spl21_105,
inference(rat,[],[s113,s205,s214]) ).
cnf(s217,plain,
~ spl21_22,
inference(rat,[],[s93,s210,s204,s202,s215,s216]) ).
cnf(s218,plain,
~ spl21_59,
inference(rat,[],[s62,s209,s217]) ).
cnf(s219,plain,
$false,
inference(rat,[],[s59,s209,s218,s217]) ).
fof(f1469,plain,
$false,
inference(avatar_sat_refutation,[],[s219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL640+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 16:09:32 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.54/1.31 % (1133561)Detected formulas, will run a generic FOF schedule.
% 2.54/1.31 % (1133568)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=555511657:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.54/1.31 % (1133569)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1864865717:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.54/1.31 % (1133567)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2002217880:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.54/1.31 % (1133572)dis-21_1_sil=8000:lcm=predicate:random_seed=3434126788:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.54/1.31 % (1133566)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=573573819:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.54/1.31 % (1133570)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1170369129:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.54/1.31 % (1133571)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4107076248:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.54/1.31 % (1133571)First to succeed.
% 2.54/1.31 % (1133571)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1133561"
% 2.54/1.31 % (1133569)Instruction limit reached!
% 2.54/1.31 % (1133569)------------------------------
% 2.54/1.31 % (1133569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.31 % (1133569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.31 % (1133569)CaDiCaL version: 2.1.3
% 2.54/1.31 % (1133569)Termination reason: Instruction limit
% 2.54/1.31 % (1133569)Termination phase: Saturation
% 2.54/1.31 % (1133569)Time elapsed: 0.058 s
% 2.54/1.31 % (1133569)Peak memory usage: 89 MB
% 2.54/1.31 % (1133569)Instructions burned: 109 (million)
% 2.54/1.31 % (1133570)Instruction limit reached!
% 2.54/1.31 % (1133570)------------------------------
% 2.54/1.31 % (1133570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.31 % (1133570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.31 % (1133570)CaDiCaL version: 2.1.3
% 2.54/1.31 % (1133570)Termination reason: Instruction limit
% 2.54/1.31 % (1133570)Termination phase: Saturation
% 2.54/1.31 % (1133570)Time elapsed: 0.067 s
% 2.54/1.31 % (1133570)Peak memory usage: 88 MB
% 2.54/1.31 % (1133570)Instructions burned: 120 (million)
% 2.54/1.31 % (1133572)Instruction limit reached!
% 2.54/1.31 % (1133572)------------------------------
% 2.54/1.31 % (1133572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.31 % (1133572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.31 % (1133572)CaDiCaL version: 2.1.3
% 2.54/1.31 % (1133572)Termination reason: Instruction limit
% 2.54/1.31 % (1133572)Termination phase: Saturation
% 2.54/1.31 % (1133572)Time elapsed: 0.069 s
% 2.54/1.31 % (1133572)Peak memory usage: 89 MB
% 2.54/1.31 % (1133572)Instructions burned: 131 (million)
% 2.54/1.31 % (1133580)lrs+10_1_sil=8000:sp=occurrence:random_seed=1342182697:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.54/1.31 % (1133582)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1371471229:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.54/1.31 % (1133581)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3421390205:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.54/1.31 % (1133581)Refutation not found, incomplete strategy
% 2.54/1.31 % (1133581)------------------------------
% 2.54/1.31 % (1133581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.31 % (1133581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.31 % (1133581)CaDiCaL version: 2.1.3
% 2.54/1.31 % (1133581)Termination reason: Refutation not found, incomplete strategy
% 2.54/1.31 % (1133581)Time elapsed: 0.004 s
% 2.54/1.31 % (1133581)Peak memory usage: 88 MB
% 2.54/1.31 % (1133581)Instructions burned: 4 (million)
% 2.54/1.31 % (1133582)Also succeeded, but the first one will report.
% 2.54/1.31 % (1133571)Refutation found. Thanks to Tanya!
% 2.54/1.31 % SZS status Theorem for theBenchmark
% 2.54/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/1.51 % (1133571)------------------------------
% 0.14/1.51 % (1133571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/1.51 % (1133571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/1.51 % (1133571)CaDiCaL version: 2.1.3
% 0.14/1.51 % (1133571)Termination reason: Refutation
% 0.14/1.51 % (1133571)Time elapsed: 0.039 s
% 0.14/1.51 % (1133571)Peak memory usage: 90 MB
% 0.14/1.51 % (1133571)Instructions burned: 53 (million)
% 0.14/1.51 % (1133571)------------------------------
% 0.14/1.51 % (1133571)------------------------------
% 0.14/1.51 % (1133561)Success in time 0.461 s
% 0.14/1.51 % Vampire exiting
%------------------------------------------------------------------------------