%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL658+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 THM
% Computer : n011.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 11:54:22 AM UTC 2026
% Result : Theorem 6.46s 2.00s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 31
% Syntax : Number of formulae : 293 ( 25 unt; 29 def)
% Number of atoms : 1507 ( 0 equ)
% Maximal formula atoms : 62 ( 5 avg)
% Number of connectives : 2159 ( 945 ~;1042 |; 147 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 32 ( 31 usr; 26 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-1 aty)
% Number of variables : 497 ( 0 sgn 433 !; 64 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,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(f3,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)],[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(rectify,[],[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(flattening,[],[f4]) ).
fof(f6,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,[],[f5]) ).
fof(f7,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(f8,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(f9,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(f10,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(f11,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,[],[f6,f10,f9,f8,f7]) ).
fof(f12,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,[],[f10]) ).
fof(f13,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,[],[f12]) ).
fof(f14,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))],[f13]) ).
fof(f15,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,[],[f9]) ).
fof(f16,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,[],[f15]) ).
fof(f17,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))],[f16]) ).
fof(f18,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,[],[f8]) ).
fof(f19,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,[],[f18]) ).
fof(f20,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))],[f19]) ).
fof(f21,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,[],[f7]) ).
fof(f22,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,[],[f21]) ).
fof(f23,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))],[f22]) ).
fof(f24,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,[],[f11]) ).
fof(f25,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))],[f24]) ).
fof(f26,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ p1(sK5(X2))
| p1(X1)
| ~ p1(X0)
| ~ r1(X0,X2)
| ~ r1(X0,X1)
| sP1(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ r1(X0,X2)
| p1(X1)
| ~ p1(X0)
| ~ r1(X0,X1)
| r1(sK4(X2),sK5(X2))
| sP1(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ r1(X0,X2)
| p1(X1)
| ~ p1(X0)
| ~ r1(X0,X1)
| r1(X2,sK4(X2))
| sP1(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f31,plain,
! [X0,X1,X4,X5] :
( ~ r1(sK7(X0),X4)
| ~ r1(X0,X1)
| ~ p1(sK6(X1))
| p1(X0)
| ~ r1(X4,X5)
| p1(X5)
| ~ p1(X4)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0,X1] :
( ~ p1(sK7(X0))
| ~ r1(X0,X1)
| ~ p1(sK6(X1))
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0,X1] :
( ~ p1(sK6(X1))
| ~ r1(X0,X1)
| p1(X0)
| r1(X0,sK7(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f34,plain,
! [X0,X1,X4,X5] :
( ~ r1(sK7(X0),X4)
| ~ r1(X0,X1)
| r1(X1,sK6(X1))
| p1(X0)
| ~ r1(X4,X5)
| p1(X5)
| ~ p1(X4)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f35,plain,
! [X0,X1] :
( ~ p1(sK7(X0))
| ~ r1(X0,X1)
| r1(X1,sK6(X1))
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f36,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| p1(X0)
| r1(X1,sK6(X1))
| r1(X0,sK7(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f37,plain,
! [X3,X0,X4,X5] :
( ~ r1(sK8(X0),X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| p1(X5)
| ~ p1(X4)
| p1(X3)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f41,plain,
! [X0] :
( ~ p1(sK9(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f42,plain,
! [X0] :
( r1(sK8(X0),sK9(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f43,plain,
! [X0] :
( r1(X0,sK8(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| p1(X2)
| p1(sK11(X2))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ p1(sK12(X2))
| ~ r1(X1,X2)
| p1(X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| p1(X2)
| r1(sK11(X2),sK12(X2))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| p1(X2)
| r1(X2,sK11(X2))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f48,plain,
! [X13] :
( ~ r1(sK16,X13)
| p1(X13)
| p1(sK19(X13)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f49,plain,
! [X13] :
( ~ p1(sK20(X13))
| p1(X13)
| ~ r1(sK16,X13) ),
inference(cnf_transformation,[],[f25]) ).
fof(f50,plain,
! [X13] :
( r1(sK19(X13),sK20(X13))
| p1(X13)
| ~ r1(sK16,X13) ),
inference(cnf_transformation,[],[f25]) ).
fof(f51,plain,
! [X13] :
( r1(X13,sK19(X13))
| p1(X13)
| ~ r1(sK16,X13) ),
inference(cnf_transformation,[],[f25]) ).
fof(f52,plain,
! [X12] :
( ~ r1(sK18,X12)
| p1(X12) ),
inference(cnf_transformation,[],[f25]) ).
fof(f53,plain,
r1(sK16,sK18),
inference(cnf_transformation,[],[f25]) ).
fof(f54,plain,
~ p1(sK17),
inference(cnf_transformation,[],[f25]) ).
fof(f55,plain,
r1(sK16,sK17),
inference(cnf_transformation,[],[f25]) ).
fof(f56,plain,
r1(sK13,sK16),
inference(cnf_transformation,[],[f25]) ).
fof(f57,plain,
! [X1,X8,X7] :
( ~ r1(sK15(X1),X7)
| sP0(X1)
| ~ r1(sK13,X1)
| ~ r1(X7,X8)
| p1(X8)
| ~ p1(X7) ),
inference(cnf_transformation,[],[f25]) ).
fof(f58,plain,
! [X1] :
( ~ p1(sK15(X1))
| sP0(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f59,plain,
! [X1] :
( r1(X1,sK15(X1))
| sP0(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f60,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,[],[f25]) ).
fof(f61,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,[],[f25]) ).
fof(f62,plain,
! [X1] :
( ~ r1(sK13,X1)
| sP2(X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f63,plain,
! [X1] :
( ~ r1(sK13,X1)
| sP3(X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f64,plain,
sP3(sK16),
inference(resolution,[],[f56,f63]) ).
fof(f65,plain,
sP2(sK16),
inference(resolution,[],[f56,f62]) ).
fof(f105,definition,
( spl21_7
<=> p1(sK16) ),
introduced(definition,[new_symbols(definition,[spl21_7])],[avatar_definition]) ).
fof(f106,plain,
( ~ p1(sK16)
| spl21_7 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f107,plain,
( p1(sK16)
| ~ spl21_7 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f121,definition,
( spl21_11
<=> ! [X0] :
( ~ r1(X0,sK16)
| ~ sP0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_11])],[avatar_definition]) ).
fof(f122,plain,
( ! [X0] :
( ~ r1(X0,sK16)
| ~ sP0(X0) )
| ~ spl21_11 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f131,plain,
( p1(sK16)
| r1(sK18,sK6(sK18))
| r1(sK16,sK7(sK16))
| ~ sP2(sK16) ),
inference(resolution,[],[f36,f53]) ).
fof(f152,plain,
( p1(sK16)
| r1(sK18,sK6(sK18))
| r1(sK16,sK7(sK16)) ),
inference(forward_subsumption_resolution,[],[f131,f65]) ).
fof(f155,definition,
( spl21_17
<=> r1(sK16,sK7(sK16)) ),
introduced(definition,[new_symbols(definition,[spl21_17])],[avatar_definition]) ).
fof(f156,plain,
( ~ r1(sK16,sK7(sK16))
| spl21_17 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f157,plain,
( r1(sK16,sK7(sK16))
| ~ spl21_17 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f159,definition,
( spl21_18
<=> r1(sK18,sK6(sK18)) ),
introduced(definition,[new_symbols(definition,[spl21_18])],[avatar_definition]) ).
fof(f161,plain,
( r1(sK18,sK6(sK18))
| ~ spl21_18 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,plain,
( spl21_17
| spl21_18
| spl21_7 ),
inference(avatar_split_clause,[],[f152,f105,f159,f155]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ r1(sK16,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p1(X2)
| r1(X0,sK14(X0)) ),
inference(resolution,[],[f61,f56]) ).
fof(f199,plain,
! [X0,X1] :
( p1(sK15(X0))
| ~ r1(sK16,sK15(X0))
| sP0(X0)
| ~ r1(sK13,X0)
| ~ r1(sK19(sK15(X0)),X1)
| p1(X1)
| ~ p1(sK19(sK15(X0))) ),
inference(resolution,[],[f51,f57]) ).
fof(f202,plain,
! [X0,X1] :
( p1(sK15(X0))
| ~ r1(sK16,sK15(X0))
| sP0(X0)
| ~ r1(sK13,X0)
| ~ r1(sK19(sK15(X0)),X1)
| p1(X1) ),
inference(forward_subsumption_resolution,[],[f199,f48]) ).
fof(f243,plain,
! [X0,X1] :
( ~ r1(sK19(sK15(X0)),X1)
| sP0(X0)
| ~ r1(sK13,X0)
| ~ r1(sK16,sK15(X0))
| p1(X1) ),
inference(forward_subsumption_resolution,[],[f202,f58]) ).
fof(f260,definition,
( spl21_30
<=> sP0(sK16) ),
introduced(definition,[new_symbols(definition,[spl21_30])],[avatar_definition]) ).
fof(f261,plain,
( ~ sP0(sK16)
| spl21_30 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( sP0(sK16)
| ~ spl21_30 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f412,plain,
! [X2,X0,X1] :
( ~ sP1(X0)
| ~ r1(sK9(X0),X1)
| ~ r1(X1,X2)
| p1(X2)
| ~ p1(X1)
| p1(sK9(X0))
| ~ sP1(X0) ),
inference(resolution,[],[f42,f37]) ).
fof(f413,plain,
! [X0,X1] :
( ~ sP1(X0)
| ~ r1(X1,sK8(X0))
| p1(sK9(X0))
| r1(sK11(sK9(X0)),sK12(sK9(X0)))
| ~ sP0(X1) ),
inference(resolution,[],[f42,f46]) ).
fof(f414,plain,
! [X0,X1] :
( ~ sP1(X0)
| ~ r1(X1,sK8(X0))
| p1(sK9(X0))
| p1(sK11(sK9(X0)))
| ~ sP0(X1) ),
inference(resolution,[],[f42,f44]) ).
fof(f416,plain,
! [X0,X1] :
( ~ sP1(X0)
| ~ r1(X1,sK8(X0))
| p1(sK9(X0))
| r1(sK9(X0),sK11(sK9(X0)))
| ~ sP0(X1) ),
inference(resolution,[],[f42,f47]) ).
fof(f417,plain,
! [X2,X0,X1] :
( ~ sP1(X0)
| ~ r1(sK9(X0),X1)
| ~ r1(X1,X2)
| p1(X2)
| ~ p1(X1)
| p1(sK9(X0)) ),
inference(duplicate_literal_removal,[],[f412]) ).
fof(f418,plain,
! [X0,X1] :
( ~ r1(X1,sK8(X0))
| ~ sP1(X0)
| r1(sK9(X0),sK11(sK9(X0)))
| ~ sP0(X1) ),
inference(forward_subsumption_resolution,[],[f416,f41]) ).
fof(f419,plain,
! [X0,X1] :
( ~ r1(X1,sK8(X0))
| ~ sP1(X0)
| p1(sK11(sK9(X0)))
| ~ sP0(X1) ),
inference(forward_subsumption_resolution,[],[f414,f41]) ).
fof(f420,plain,
! [X0,X1] :
( ~ r1(X1,sK8(X0))
| ~ sP1(X0)
| r1(sK11(sK9(X0)),sK12(sK9(X0)))
| ~ sP0(X1) ),
inference(forward_subsumption_resolution,[],[f413,f41]) ).
fof(f421,plain,
! [X2,X0,X1] :
( ~ r1(sK9(X0),X1)
| ~ sP1(X0)
| ~ r1(X1,X2)
| p1(X2)
| ~ p1(X1) ),
inference(forward_subsumption_resolution,[],[f417,f41]) ).
fof(f429,plain,
! [X0] :
( ~ sP1(X0)
| r1(sK11(sK9(X0)),sK12(sK9(X0)))
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(resolution,[],[f420,f43]) ).
fof(f431,plain,
! [X0] :
( r1(sK11(sK9(X0)),sK12(sK9(X0)))
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f429]) ).
fof(f436,plain,
! [X0] :
( p1(sK15(X0))
| ~ r1(sK16,sK15(X0))
| sP0(X0)
| ~ r1(sK13,X0)
| ~ r1(sK16,sK15(X0))
| p1(sK20(sK15(X0))) ),
inference(resolution,[],[f50,f243]) ).
fof(f441,plain,
! [X0] :
( p1(sK15(X0))
| ~ r1(sK16,sK15(X0))
| sP0(X0)
| ~ r1(sK13,X0)
| p1(sK20(sK15(X0))) ),
inference(duplicate_literal_removal,[],[f436]) ).
fof(f445,plain,
! [X0] :
( p1(sK15(X0))
| ~ r1(sK16,sK15(X0))
| sP0(X0)
| ~ r1(sK13,X0) ),
inference(forward_subsumption_resolution,[],[f441,f49]) ).
fof(f446,plain,
! [X0] :
( ~ r1(sK16,sK15(X0))
| sP0(X0)
| ~ r1(sK13,X0) ),
inference(forward_subsumption_resolution,[],[f445,f58]) ).
fof(f447,plain,
( sP0(sK16)
| ~ r1(sK13,sK16)
| sP0(sK16)
| ~ r1(sK13,sK16) ),
inference(resolution,[],[f446,f59]) ).
fof(f448,plain,
( sP0(sK16)
| ~ r1(sK13,sK16) ),
inference(duplicate_literal_removal,[],[f447]) ).
fof(f465,plain,
! [X0] :
( p1(X0)
| ~ p1(sK16)
| ~ r1(sK16,X0)
| r1(sK18,sK4(sK18))
| sP1(sK16)
| ~ sP3(sK16) ),
inference(resolution,[],[f30,f53]) ).
fof(f468,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK16,X0)
| r1(sK18,sK4(sK18))
| sP1(sK16)
| ~ sP3(sK16) )
| ~ spl21_7 ),
inference(forward_subsumption_resolution,[],[f465,f107]) ).
fof(f473,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK16,X0)
| r1(sK18,sK4(sK18))
| sP1(sK16) )
| ~ spl21_7 ),
inference(forward_subsumption_resolution,[],[f468,f64]) ).
fof(f477,definition,
( spl21_52
<=> sP1(sK16) ),
introduced(definition,[new_symbols(definition,[spl21_52])],[avatar_definition]) ).
fof(f478,plain,
( ~ sP1(sK16)
| spl21_52 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f479,plain,
( sP1(sK16)
| ~ spl21_52 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f481,definition,
( spl21_53
<=> r1(sK18,sK4(sK18)) ),
introduced(definition,[new_symbols(definition,[spl21_53])],[avatar_definition]) ).
fof(f483,plain,
( r1(sK18,sK4(sK18))
| ~ spl21_53 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f485,definition,
( spl21_54
<=> ! [X0] :
( p1(X0)
| ~ r1(sK16,X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_54])],[avatar_definition]) ).
fof(f486,plain,
( ! [X0] :
( ~ r1(sK16,X0)
| p1(X0) )
| ~ spl21_54 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f487,plain,
( spl21_52
| spl21_53
| spl21_54
| ~ spl21_7 ),
inference(avatar_split_clause,[],[f473,f105,f485,f481,f477]) ).
fof(f515,plain,
( p1(sK7(sK16))
| p1(sK19(sK7(sK16)))
| ~ spl21_17 ),
inference(resolution,[],[f157,f48]) ).
fof(f522,definition,
( spl21_60
<=> p1(sK19(sK7(sK16))) ),
introduced(definition,[new_symbols(definition,[spl21_60])],[avatar_definition]) ).
fof(f524,plain,
( p1(sK19(sK7(sK16)))
| ~ spl21_60 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f526,definition,
( spl21_61
<=> p1(sK7(sK16)) ),
introduced(definition,[new_symbols(definition,[spl21_61])],[avatar_definition]) ).
fof(f527,plain,
( ~ p1(sK7(sK16))
| spl21_61 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f528,plain,
( p1(sK7(sK16))
| ~ spl21_61 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f529,plain,
( spl21_60
| spl21_61
| ~ spl21_17 ),
inference(avatar_split_clause,[],[f515,f155,f526,f522]) ).
fof(f571,plain,
( p1(sK6(sK18))
| ~ spl21_18 ),
inference(resolution,[],[f161,f52]) ).
fof(f582,definition,
( spl21_71
<=> p1(sK6(sK18)) ),
introduced(definition,[new_symbols(definition,[spl21_71])],[avatar_definition]) ).
fof(f584,plain,
( p1(sK6(sK18))
| ~ spl21_71 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f599,plain,
( spl21_71
| ~ spl21_18 ),
inference(avatar_split_clause,[],[f571,f159,f582]) ).
fof(f603,plain,
! [X2,X0,X1] :
( ~ r1(X0,X1)
| ~ p1(sK6(X1))
| p1(X0)
| ~ r1(sK19(sK7(X0)),X2)
| p1(X2)
| ~ p1(sK19(sK7(X0)))
| ~ sP2(X0)
| p1(sK7(X0))
| ~ r1(sK16,sK7(X0)) ),
inference(resolution,[],[f31,f51]) ).
fof(f604,plain,
! [X2,X0,X1] :
( ~ r1(sK19(sK7(X0)),X2)
| ~ p1(sK6(X1))
| p1(X0)
| ~ r1(X0,X1)
| p1(X2)
| ~ p1(sK19(sK7(X0)))
| ~ sP2(X0)
| ~ r1(sK16,sK7(X0)) ),
inference(forward_subsumption_resolution,[],[f603,f32]) ).
fof(f606,plain,
! [X0,X1] :
( ~ p1(sK6(X0))
| p1(X1)
| ~ r1(X1,X0)
| p1(sK20(sK7(X1)))
| ~ p1(sK19(sK7(X1)))
| ~ sP2(X1)
| ~ r1(sK16,sK7(X1))
| p1(sK7(X1))
| ~ r1(sK16,sK7(X1)) ),
inference(resolution,[],[f604,f50]) ).
fof(f611,plain,
! [X0,X1] :
( ~ p1(sK6(X0))
| p1(X1)
| ~ r1(X1,X0)
| p1(sK20(sK7(X1)))
| ~ p1(sK19(sK7(X1)))
| ~ sP2(X1)
| ~ r1(sK16,sK7(X1))
| p1(sK7(X1)) ),
inference(duplicate_literal_removal,[],[f606]) ).
fof(f613,plain,
! [X0,X1] :
( ~ p1(sK19(sK7(X1)))
| p1(X1)
| ~ r1(X1,X0)
| p1(sK20(sK7(X1)))
| ~ p1(sK6(X0))
| ~ sP2(X1)
| ~ r1(sK16,sK7(X1)) ),
inference(forward_subsumption_resolution,[],[f611,f32]) ).
fof(f623,plain,
( ~ sP0(sK16)
| ~ spl21_11 ),
inference(resolution,[],[f122,f26]) ).
fof(f627,plain,
( $false
| ~ spl21_11
| ~ spl21_30 ),
inference(forward_subsumption_resolution,[],[f623,f262]) ).
fof(f628,plain,
( ~ spl21_11
| ~ spl21_30 ),
inference(avatar_contradiction_clause,[],[f627]) ).
fof(f629,plain,
( ~ r1(sK13,sK16)
| spl21_30 ),
inference(forward_subsumption_resolution,[],[f448,f261]) ).
fof(f634,plain,
( $false
| spl21_30 ),
inference(forward_subsumption_resolution,[],[f629,f56]) ).
fof(f635,plain,
spl21_30,
inference(avatar_contradiction_clause,[],[f634]) ).
fof(f817,plain,
! [X0,X1] :
( ~ r1(sK18,X0)
| ~ r1(X0,X1)
| p1(X1)
| r1(sK18,sK14(sK18)) ),
inference(resolution,[],[f181,f53]) ).
fof(f832,definition,
( spl21_101
<=> r1(sK18,sK14(sK18)) ),
introduced(definition,[new_symbols(definition,[spl21_101])],[avatar_definition]) ).
fof(f834,plain,
( r1(sK18,sK14(sK18))
| ~ spl21_101 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f836,definition,
( spl21_102
<=> ! [X0,X1] :
( ~ r1(sK18,X0)
| p1(X1)
| ~ r1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl21_102])],[avatar_definition]) ).
fof(f837,plain,
( ! [X0,X1] :
( ~ r1(sK18,X0)
| p1(X1)
| ~ r1(X0,X1) )
| ~ spl21_102 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f838,plain,
( spl21_101
| spl21_102 ),
inference(avatar_split_clause,[],[f817,f836,f832]) ).
fof(f855,plain,
( p1(sK17)
| ~ spl21_54 ),
inference(resolution,[],[f486,f55]) ).
fof(f861,plain,
( $false
| ~ spl21_54 ),
inference(forward_subsumption_resolution,[],[f855,f54]) ).
fof(f862,plain,
~ spl21_54,
inference(avatar_contradiction_clause,[],[f861]) ).
fof(f903,plain,
( ! [X0] :
( ~ r1(X0,sK16)
| p1(sK7(sK16))
| r1(sK11(sK7(sK16)),sK12(sK7(sK16)))
| ~ sP0(X0) )
| ~ spl21_17 ),
inference(resolution,[],[f157,f46]) ).
fof(f904,plain,
( ! [X0] :
( ~ r1(X0,sK16)
| p1(sK7(sK16))
| p1(sK11(sK7(sK16)))
| ~ sP0(X0) )
| ~ spl21_17 ),
inference(resolution,[],[f157,f44]) ).
fof(f906,plain,
( ! [X0] :
( ~ r1(X0,sK16)
| p1(sK7(sK16))
| r1(sK7(sK16),sK11(sK7(sK16)))
| ~ sP0(X0) )
| ~ spl21_17 ),
inference(resolution,[],[f157,f47]) ).
fof(f908,definition,
( spl21_113
<=> r1(sK7(sK16),sK11(sK7(sK16))) ),
introduced(definition,[new_symbols(definition,[spl21_113])],[avatar_definition]) ).
fof(f910,plain,
( r1(sK7(sK16),sK11(sK7(sK16)))
| ~ spl21_113 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f911,plain,
( spl21_113
| spl21_61
| spl21_11
| ~ spl21_17 ),
inference(avatar_split_clause,[],[f906,f155,f121,f526,f908]) ).
fof(f913,definition,
( spl21_114
<=> p1(sK11(sK7(sK16))) ),
introduced(definition,[new_symbols(definition,[spl21_114])],[avatar_definition]) ).
fof(f915,plain,
( p1(sK11(sK7(sK16)))
| ~ spl21_114 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f916,plain,
( spl21_114
| spl21_61
| spl21_11
| ~ spl21_17 ),
inference(avatar_split_clause,[],[f904,f155,f121,f526,f913]) ).
fof(f918,definition,
( spl21_115
<=> r1(sK11(sK7(sK16)),sK12(sK7(sK16))) ),
introduced(definition,[new_symbols(definition,[spl21_115])],[avatar_definition]) ).
fof(f920,plain,
( r1(sK11(sK7(sK16)),sK12(sK7(sK16)))
| ~ spl21_115 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f921,plain,
( spl21_115
| spl21_61
| spl21_11
| ~ spl21_17 ),
inference(avatar_split_clause,[],[f903,f155,f121,f526,f918]) ).
fof(f954,plain,
( p1(sK14(sK18))
| ~ spl21_101 ),
inference(resolution,[],[f834,f52]) ).
fof(f965,definition,
( spl21_123
<=> p1(sK14(sK18)) ),
introduced(definition,[new_symbols(definition,[spl21_123])],[avatar_definition]) ).
fof(f967,plain,
( p1(sK14(sK18))
| ~ spl21_123 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f979,plain,
( spl21_123
| ~ spl21_101 ),
inference(avatar_split_clause,[],[f954,f832,f965]) ).
fof(f992,plain,
( ! [X0] :
( p1(sK16)
| ~ r1(sK16,X0)
| p1(sK20(sK7(sK16)))
| ~ p1(sK6(X0))
| ~ sP2(sK16)
| ~ r1(sK16,sK7(sK16)) )
| ~ spl21_60 ),
inference(resolution,[],[f524,f613]) ).
fof(f1071,plain,
! [X0] :
( ~ sP1(X0)
| r1(sK9(X0),sK11(sK9(X0)))
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(resolution,[],[f418,f43]) ).
fof(f1073,plain,
! [X0] :
( r1(sK9(X0),sK11(sK9(X0)))
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f1071]) ).
fof(f1074,plain,
! [X0,X1] :
( ~ sP1(X0)
| ~ sP0(X0)
| ~ sP1(X0)
| ~ r1(sK11(sK9(X0)),X1)
| p1(X1)
| ~ p1(sK11(sK9(X0))) ),
inference(resolution,[],[f1073,f421]) ).
fof(f1080,plain,
! [X0,X1] :
( ~ r1(sK11(sK9(X0)),X1)
| ~ sP0(X0)
| ~ sP1(X0)
| p1(X1)
| ~ p1(sK11(sK9(X0))) ),
inference(duplicate_literal_removal,[],[f1074]) ).
fof(f1093,plain,
! [X0] :
( p1(X0)
| ~ p1(sK16)
| ~ r1(sK16,X0)
| r1(sK4(sK18),sK5(sK18))
| sP1(sK16)
| ~ sP3(sK16) ),
inference(resolution,[],[f29,f53]) ).
fof(f1123,plain,
! [X0] :
( ~ sP1(X0)
| p1(sK11(sK9(X0)))
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(resolution,[],[f419,f43]) ).
fof(f1125,plain,
! [X0] :
( p1(sK11(sK9(X0)))
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f1123]) ).
fof(f1331,plain,
! [X0] :
( ~ sP0(X0)
| ~ sP1(X0)
| p1(sK12(sK9(X0)))
| ~ p1(sK11(sK9(X0)))
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(resolution,[],[f1080,f431]) ).
fof(f1336,plain,
! [X0] :
( ~ sP0(X0)
| ~ sP1(X0)
| p1(sK12(sK9(X0)))
| ~ p1(sK11(sK9(X0))) ),
inference(duplicate_literal_removal,[],[f1331]) ).
fof(f1338,plain,
! [X0] :
( p1(sK12(sK9(X0)))
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(forward_subsumption_resolution,[],[f1336,f1125]) ).
fof(f1340,plain,
! [X2,X0,X1] :
( ~ sP1(X0)
| ~ sP0(X0)
| ~ r1(X1,sK9(X0))
| p1(sK9(X0))
| ~ r1(X2,X1)
| ~ sP0(X2) ),
inference(resolution,[],[f1338,f45]) ).
fof(f1341,plain,
! [X2,X0,X1] :
( ~ r1(X1,sK9(X0))
| ~ sP0(X0)
| ~ sP1(X0)
| ~ r1(X2,X1)
| ~ sP0(X2) ),
inference(forward_subsumption_resolution,[],[f1340,f41]) ).
fof(f1343,plain,
! [X0,X1] :
( ~ sP0(X0)
| ~ sP1(X0)
| ~ r1(X1,sK8(X0))
| ~ sP0(X1)
| ~ sP1(X0) ),
inference(resolution,[],[f1341,f42]) ).
fof(f1344,plain,
! [X0,X1] :
( ~ r1(X1,sK8(X0))
| ~ sP1(X0)
| ~ sP0(X0)
| ~ sP0(X1) ),
inference(duplicate_literal_removal,[],[f1343]) ).
fof(f1345,plain,
! [X0] :
( ~ sP1(X0)
| ~ sP0(X0)
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(resolution,[],[f1344,f43]) ).
fof(f1347,plain,
! [X0] :
( ~ sP1(X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f1345]) ).
fof(f1348,plain,
( ~ sP0(sK16)
| ~ spl21_52 ),
inference(resolution,[],[f1347,f479]) ).
fof(f1352,plain,
( $false
| ~ spl21_30
| ~ spl21_52 ),
inference(forward_subsumption_resolution,[],[f1348,f262]) ).
fof(f1353,plain,
( ~ spl21_30
| ~ spl21_52 ),
inference(avatar_contradiction_clause,[],[f1352]) ).
fof(f1376,plain,
( ! [X0] :
( r1(X0,sK7(X0))
| p1(X0)
| ~ r1(X0,sK18)
| ~ sP2(X0) )
| ~ spl21_71 ),
inference(resolution,[],[f584,f33]) ).
fof(f1426,plain,
( p1(sK16)
| ~ r1(sK16,sK18)
| ~ sP2(sK16)
| spl21_17
| ~ spl21_71 ),
inference(resolution,[],[f1376,f156]) ).
fof(f1466,plain,
( ~ r1(sK16,sK18)
| ~ sP2(sK16)
| spl21_7
| spl21_17
| ~ spl21_71 ),
inference(forward_subsumption_resolution,[],[f1426,f106]) ).
fof(f1468,plain,
( ~ sP2(sK16)
| spl21_7
| spl21_17
| ~ spl21_71 ),
inference(forward_subsumption_resolution,[],[f1466,f53]) ).
fof(f1470,plain,
( $false
| spl21_7
| spl21_17
| ~ spl21_71 ),
inference(forward_subsumption_resolution,[],[f1468,f65]) ).
fof(f1471,plain,
( spl21_7
| spl21_17
| ~ spl21_71 ),
inference(avatar_contradiction_clause,[],[f1470]) ).
fof(f1473,plain,
( ! [X0] :
( p1(sK16)
| ~ r1(sK16,X0)
| p1(sK20(sK7(sK16)))
| ~ p1(sK6(X0))
| ~ sP2(sK16) )
| ~ spl21_60 ),
inference(forward_subsumption_resolution,[],[f992,f33]) ).
fof(f1474,plain,
( ! [X0] :
( ~ r1(sK16,X0)
| p1(sK20(sK7(sK16)))
| ~ p1(sK6(X0))
| ~ sP2(sK16) )
| spl21_7
| ~ spl21_60 ),
inference(forward_subsumption_resolution,[],[f1473,f106]) ).
fof(f1475,plain,
( ! [X0] :
( ~ r1(sK16,X0)
| p1(sK20(sK7(sK16)))
| ~ p1(sK6(X0)) )
| spl21_7
| ~ spl21_60 ),
inference(forward_subsumption_resolution,[],[f1474,f65]) ).
fof(f1477,definition,
( spl21_170
<=> p1(sK20(sK7(sK16))) ),
introduced(definition,[new_symbols(definition,[spl21_170])],[avatar_definition]) ).
fof(f1479,plain,
( p1(sK20(sK7(sK16)))
| ~ spl21_170 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f1481,definition,
( spl21_171
<=> ! [X0] :
( ~ r1(sK16,X0)
| ~ p1(sK6(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl21_171])],[avatar_definition]) ).
fof(f1482,plain,
( ! [X0] :
( ~ p1(sK6(X0))
| ~ r1(sK16,X0) )
| ~ spl21_171 ),
inference(avatar_component_clause,[],[f1481]) ).
fof(f1483,plain,
( spl21_170
| spl21_171
| spl21_7
| ~ spl21_60 ),
inference(avatar_split_clause,[],[f1475,f522,f105,f1481,f1477]) ).
fof(f1484,plain,
( p1(sK7(sK16))
| ~ r1(sK16,sK7(sK16))
| ~ spl21_170 ),
inference(resolution,[],[f1479,f49]) ).
fof(f1495,plain,
( ! [X0] :
( ~ r1(sK16,X0)
| ~ p1(sK6(X0))
| p1(sK16)
| ~ sP2(sK16) )
| ~ spl21_61 ),
inference(resolution,[],[f528,f32]) ).
fof(f1496,plain,
( ! [X0] :
( ~ r1(sK16,X0)
| r1(X0,sK6(X0))
| p1(sK16)
| ~ sP2(sK16) )
| ~ spl21_61 ),
inference(resolution,[],[f528,f35]) ).
fof(f1497,plain,
( ! [X0] :
( ~ r1(sK16,X0)
| r1(X0,sK6(X0))
| ~ sP2(sK16) )
| spl21_7
| ~ spl21_61 ),
inference(forward_subsumption_resolution,[],[f1496,f106]) ).
fof(f1498,plain,
( ! [X0] :
( ~ r1(sK16,X0)
| ~ p1(sK6(X0))
| ~ sP2(sK16) )
| spl21_7
| ~ spl21_61 ),
inference(forward_subsumption_resolution,[],[f1495,f106]) ).
fof(f1499,plain,
( ! [X0] :
( r1(X0,sK6(X0))
| ~ r1(sK16,X0) )
| spl21_7
| ~ spl21_61 ),
inference(forward_subsumption_resolution,[],[f1497,f65]) ).
fof(f1500,plain,
( ! [X0] :
( ~ r1(sK16,X0)
| ~ p1(sK6(X0)) )
| spl21_7
| ~ spl21_61 ),
inference(forward_subsumption_resolution,[],[f1498,f65]) ).
fof(f1501,plain,
( spl21_171
| spl21_7
| ~ spl21_61 ),
inference(avatar_split_clause,[],[f1500,f526,f105,f1481]) ).
fof(f1515,plain,
( ~ r1(sK16,sK18)
| p1(sK6(sK18))
| spl21_7
| ~ spl21_61 ),
inference(resolution,[],[f1499,f52]) ).
fof(f1546,plain,
( ~ r1(sK16,sK18)
| spl21_7
| ~ spl21_61
| ~ spl21_171 ),
inference(forward_subsumption_resolution,[],[f1515,f1482]) ).
fof(f1551,plain,
( $false
| spl21_7
| ~ spl21_61
| ~ spl21_171 ),
inference(forward_subsumption_resolution,[],[f1546,f53]) ).
fof(f1552,plain,
( spl21_7
| ~ spl21_61
| ~ spl21_171 ),
inference(avatar_contradiction_clause,[],[f1551]) ).
fof(f1563,plain,
( ~ r1(sK16,sK7(sK16))
| spl21_61
| ~ spl21_170 ),
inference(forward_subsumption_resolution,[],[f1484,f527]) ).
fof(f1564,plain,
( $false
| ~ spl21_17
| spl21_61
| ~ spl21_170 ),
inference(forward_subsumption_resolution,[],[f1563,f157]) ).
fof(f1565,plain,
( ~ spl21_17
| spl21_61
| ~ spl21_170 ),
inference(avatar_contradiction_clause,[],[f1564]) ).
fof(f1626,definition,
( spl21_184
<=> ! [X0] :
( ~ r1(sK16,X0)
| r1(X0,sK6(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl21_184])],[avatar_definition]) ).
fof(f1627,plain,
( ! [X0] :
( r1(X0,sK6(X0))
| ~ r1(sK16,X0) )
| ~ spl21_184 ),
inference(avatar_component_clause,[],[f1626]) ).
fof(f1652,plain,
( ! [X0,X1] :
( ~ r1(sK16,X0)
| r1(X0,sK6(X0))
| p1(sK16)
| ~ r1(sK11(sK7(sK16)),X1)
| p1(X1)
| ~ p1(sK11(sK7(sK16)))
| ~ sP2(sK16) )
| ~ spl21_113 ),
inference(resolution,[],[f910,f34]) ).
fof(f1661,plain,
( ! [X0,X1] :
( ~ r1(sK16,X0)
| r1(X0,sK6(X0))
| ~ r1(sK11(sK7(sK16)),X1)
| p1(X1)
| ~ p1(sK11(sK7(sK16)))
| ~ sP2(sK16) )
| spl21_7
| ~ spl21_113 ),
inference(forward_subsumption_resolution,[],[f1652,f106]) ).
fof(f1662,plain,
( ! [X0,X1] :
( ~ r1(sK16,X0)
| r1(X0,sK6(X0))
| ~ r1(sK11(sK7(sK16)),X1)
| p1(X1)
| ~ sP2(sK16) )
| spl21_7
| ~ spl21_113
| ~ spl21_114 ),
inference(forward_subsumption_resolution,[],[f1661,f915]) ).
fof(f1663,plain,
( ! [X0,X1] :
( ~ r1(sK16,X0)
| r1(X0,sK6(X0))
| ~ r1(sK11(sK7(sK16)),X1)
| p1(X1) )
| spl21_7
| ~ spl21_113
| ~ spl21_114 ),
inference(forward_subsumption_resolution,[],[f1662,f65]) ).
fof(f1665,definition,
( spl21_188
<=> ! [X1] :
( ~ r1(sK11(sK7(sK16)),X1)
| p1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl21_188])],[avatar_definition]) ).
fof(f1666,plain,
( ! [X1] :
( ~ r1(sK11(sK7(sK16)),X1)
| p1(X1) )
| ~ spl21_188 ),
inference(avatar_component_clause,[],[f1665]) ).
fof(f1667,plain,
( spl21_188
| spl21_184
| spl21_7
| ~ spl21_113
| ~ spl21_114 ),
inference(avatar_split_clause,[],[f1663,f913,f908,f105,f1626,f1665]) ).
fof(f1682,plain,
( ~ r1(sK16,sK18)
| p1(sK6(sK18))
| ~ spl21_184 ),
inference(resolution,[],[f1627,f52]) ).
fof(f1713,plain,
( ~ r1(sK16,sK18)
| ~ spl21_171
| ~ spl21_184 ),
inference(forward_subsumption_resolution,[],[f1682,f1482]) ).
fof(f1721,plain,
( $false
| ~ spl21_171
| ~ spl21_184 ),
inference(forward_subsumption_resolution,[],[f1713,f53]) ).
fof(f1722,plain,
( ~ spl21_171
| ~ spl21_184 ),
inference(avatar_contradiction_clause,[],[f1721]) ).
fof(f1740,plain,
( p1(sK12(sK7(sK16)))
| ~ spl21_115
| ~ spl21_188 ),
inference(resolution,[],[f920,f1666]) ).
fof(f1754,definition,
( spl21_192
<=> p1(sK12(sK7(sK16))) ),
introduced(definition,[new_symbols(definition,[spl21_192])],[avatar_definition]) ).
fof(f1756,plain,
( p1(sK12(sK7(sK16)))
| ~ spl21_192 ),
inference(avatar_component_clause,[],[f1754]) ).
fof(f1772,plain,
( spl21_192
| ~ spl21_115
| ~ spl21_188 ),
inference(avatar_split_clause,[],[f1740,f1665,f918,f1754]) ).
fof(f1773,plain,
( ! [X0,X1] :
( ~ r1(X0,sK7(sK16))
| p1(sK7(sK16))
| ~ r1(X1,X0)
| ~ sP0(X1) )
| ~ spl21_192 ),
inference(resolution,[],[f1756,f45]) ).
fof(f1774,plain,
( ! [X0,X1] :
( ~ r1(X0,sK7(sK16))
| ~ r1(X1,X0)
| ~ sP0(X1) )
| spl21_61
| ~ spl21_192 ),
inference(forward_subsumption_resolution,[],[f1773,f527]) ).
fof(f1776,plain,
( ! [X0] :
( ~ r1(X0,sK16)
| ~ sP0(X0) )
| ~ spl21_17
| spl21_61
| ~ spl21_192 ),
inference(resolution,[],[f1774,f157]) ).
fof(f1777,plain,
( spl21_11
| ~ spl21_17
| spl21_61
| ~ spl21_192 ),
inference(avatar_split_clause,[],[f1776,f1754,f526,f155,f121]) ).
fof(f1779,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK16,X0)
| r1(sK4(sK18),sK5(sK18))
| sP1(sK16)
| ~ sP3(sK16) )
| ~ spl21_7 ),
inference(forward_subsumption_resolution,[],[f1093,f107]) ).
fof(f1781,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK16,X0)
| r1(sK4(sK18),sK5(sK18))
| ~ sP3(sK16) )
| ~ spl21_7
| spl21_52 ),
inference(forward_subsumption_resolution,[],[f1779,f478]) ).
fof(f1783,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK16,X0)
| r1(sK4(sK18),sK5(sK18)) )
| ~ spl21_7
| spl21_52 ),
inference(forward_subsumption_resolution,[],[f1781,f64]) ).
fof(f1786,definition,
( spl21_196
<=> r1(sK4(sK18),sK5(sK18)) ),
introduced(definition,[new_symbols(definition,[spl21_196])],[avatar_definition]) ).
fof(f1788,plain,
( r1(sK4(sK18),sK5(sK18))
| ~ spl21_196 ),
inference(avatar_component_clause,[],[f1786]) ).
fof(f1789,plain,
( spl21_196
| spl21_54
| ~ spl21_7
| spl21_52 ),
inference(avatar_split_clause,[],[f1783,f477,f105,f485,f1786]) ).
fof(f1795,plain,
( ! [X0] :
( ~ r1(sK4(sK18),X0)
| p1(X0) )
| ~ spl21_53
| ~ spl21_102 ),
inference(resolution,[],[f483,f837]) ).
fof(f1822,definition,
( spl21_200
<=> p1(sK5(sK18)) ),
introduced(definition,[new_symbols(definition,[spl21_200])],[avatar_definition]) ).
fof(f1824,plain,
( p1(sK5(sK18))
| ~ spl21_200 ),
inference(avatar_component_clause,[],[f1822]) ).
fof(f1959,plain,
( p1(sK5(sK18))
| ~ spl21_53
| ~ spl21_102
| ~ spl21_196 ),
inference(resolution,[],[f1795,f1788]) ).
fof(f1966,plain,
( spl21_200
| ~ spl21_53
| ~ spl21_102
| ~ spl21_196 ),
inference(avatar_split_clause,[],[f1959,f1786,f836,f481,f1822]) ).
fof(f2006,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,sK18)
| ~ r1(sK18,X1)
| ~ r1(X1,X2)
| p1(X2)
| ~ r1(sK13,X0) )
| ~ spl21_123 ),
inference(resolution,[],[f967,f60]) ).
fof(f2008,definition,
( spl21_222
<=> ! [X0] :
( ~ r1(X0,sK18)
| ~ r1(sK13,X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_222])],[avatar_definition]) ).
fof(f2009,plain,
( ! [X0] :
( ~ r1(sK13,X0)
| ~ r1(X0,sK18) )
| ~ spl21_222 ),
inference(avatar_component_clause,[],[f2008]) ).
fof(f2010,plain,
( spl21_102
| spl21_222
| ~ spl21_123 ),
inference(avatar_split_clause,[],[f2006,f965,f2008,f836]) ).
fof(f2011,plain,
( ~ r1(sK16,sK18)
| ~ spl21_222 ),
inference(resolution,[],[f2009,f56]) ).
fof(f2019,plain,
( $false
| ~ spl21_222 ),
inference(forward_subsumption_resolution,[],[f2011,f53]) ).
fof(f2020,plain,
~ spl21_222,
inference(avatar_contradiction_clause,[],[f2019]) ).
fof(f2038,plain,
( ! [X0,X1] :
( ~ r1(X1,sK18)
| ~ p1(X1)
| p1(X0)
| ~ r1(X1,X0)
| sP1(X1)
| ~ sP3(X1) )
| ~ spl21_200 ),
inference(resolution,[],[f1824,f28]) ).
fof(f2199,plain,
( ! [X0] :
( ~ p1(sK16)
| p1(X0)
| ~ r1(sK16,X0)
| sP1(sK16)
| ~ sP3(sK16) )
| ~ spl21_200 ),
inference(resolution,[],[f2038,f53]) ).
fof(f2200,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK16,X0)
| sP1(sK16)
| ~ sP3(sK16) )
| ~ spl21_7
| ~ spl21_200 ),
inference(forward_subsumption_resolution,[],[f2199,f107]) ).
fof(f2201,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK16,X0)
| ~ sP3(sK16) )
| ~ spl21_7
| spl21_52
| ~ spl21_200 ),
inference(forward_subsumption_resolution,[],[f2200,f478]) ).
fof(f2202,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK16,X0) )
| ~ spl21_7
| spl21_52
| ~ spl21_200 ),
inference(forward_subsumption_resolution,[],[f2201,f64]) ).
fof(f2203,plain,
( spl21_54
| ~ spl21_7
| spl21_52
| ~ spl21_200 ),
inference(avatar_split_clause,[],[f2202,f1822,f477,f105,f485]) ).
cnf(s8,plain,
( spl21_7
| spl21_17
| spl21_18 ),
inference(sat_conversion,[],[f162]) ).
cnf(s32,plain,
( ~ spl21_7
| spl21_52
| spl21_53
| spl21_54 ),
inference(sat_conversion,[],[f487]) ).
cnf(s37,plain,
( ~ spl21_17
| spl21_60
| spl21_61 ),
inference(sat_conversion,[],[f529]) ).
cnf(s45,plain,
( ~ spl21_18
| spl21_71 ),
inference(sat_conversion,[],[f599]) ).
cnf(s47,plain,
( ~ spl21_11
| ~ spl21_30 ),
inference(sat_conversion,[],[f628]) ).
cnf(s48,plain,
spl21_30,
inference(sat_conversion,[],[f635]) ).
cnf(s73,plain,
( spl21_101
| spl21_102 ),
inference(sat_conversion,[],[f838]) ).
cnf(s76,plain,
~ spl21_54,
inference(sat_conversion,[],[f862]) ).
cnf(s82,plain,
( spl21_11
| ~ spl21_17
| spl21_61
| spl21_113 ),
inference(sat_conversion,[],[f911]) ).
cnf(s83,plain,
( spl21_11
| ~ spl21_17
| spl21_61
| spl21_114 ),
inference(sat_conversion,[],[f916]) ).
cnf(s84,plain,
( spl21_11
| ~ spl21_17
| spl21_61
| spl21_115 ),
inference(sat_conversion,[],[f921]) ).
cnf(s92,plain,
( ~ spl21_101
| spl21_123 ),
inference(sat_conversion,[],[f979]) ).
cnf(s123,plain,
( ~ spl21_30
| ~ spl21_52 ),
inference(sat_conversion,[],[f1353]) ).
cnf(s127,plain,
( spl21_7
| spl21_17
| ~ spl21_71 ),
inference(sat_conversion,[],[f1471]) ).
cnf(s129,plain,
( spl21_7
| ~ spl21_60
| spl21_170
| spl21_171 ),
inference(sat_conversion,[],[f1483]) ).
cnf(s130,plain,
( spl21_7
| ~ spl21_61
| spl21_171 ),
inference(sat_conversion,[],[f1501]) ).
cnf(s132,plain,
( spl21_7
| ~ spl21_61
| ~ spl21_171 ),
inference(sat_conversion,[],[f1552]) ).
cnf(s135,plain,
( ~ spl21_17
| spl21_61
| ~ spl21_170 ),
inference(sat_conversion,[],[f1565]) ).
cnf(s144,plain,
( spl21_7
| ~ spl21_113
| ~ spl21_114
| spl21_184
| spl21_188 ),
inference(sat_conversion,[],[f1667]) ).
cnf(s147,plain,
( ~ spl21_171
| ~ spl21_184 ),
inference(sat_conversion,[],[f1722]) ).
cnf(s155,plain,
( ~ spl21_115
| ~ spl21_188
| spl21_192 ),
inference(sat_conversion,[],[f1772]) ).
cnf(s156,plain,
( spl21_11
| ~ spl21_17
| spl21_61
| ~ spl21_192 ),
inference(sat_conversion,[],[f1777]) ).
cnf(s159,plain,
( ~ spl21_7
| spl21_52
| spl21_54
| spl21_196 ),
inference(sat_conversion,[],[f1789]) ).
cnf(s173,plain,
( ~ spl21_53
| ~ spl21_102
| ~ spl21_196
| spl21_200 ),
inference(sat_conversion,[],[f1966]) ).
cnf(s178,plain,
( spl21_102
| ~ spl21_123
| spl21_222 ),
inference(sat_conversion,[],[f2010]) ).
cnf(s179,plain,
~ spl21_222,
inference(sat_conversion,[],[f2020]) ).
cnf(s193,plain,
( ~ spl21_7
| spl21_52
| spl21_54
| ~ spl21_200 ),
inference(sat_conversion,[],[f2203]) ).
cnf(s194,plain,
( spl21_102
| ~ spl21_123 ),
inference(rat,[],[s178,s179]) ).
cnf(s195,plain,
~ spl21_52,
inference(rat,[],[s123,s48]) ).
cnf(s198,plain,
~ spl21_11,
inference(rat,[],[s47,s48]) ).
cnf(s206,plain,
( ~ spl21_7
| spl21_53 ),
inference(rat,[],[s32,s76,s195]) ).
cnf(s212,plain,
( spl21_17
| spl21_7 ),
inference(rat,[],[s45,s8,s127]) ).
cnf(s214,plain,
( spl21_61
| spl21_7 ),
inference(rat,[],[s147,s129,s144,s155,s37,s82,s83,s84,s135,s156,s212,s198]) ).
cnf(s215,plain,
( ~ spl21_61
| spl21_7 ),
inference(rat,[],[s130,s132]) ).
cnf(s216,plain,
spl21_7,
inference(rat,[],[s215,s214]) ).
cnf(s217,plain,
~ spl21_200,
inference(rat,[],[s193,s195,s76,s216]) ).
cnf(s219,plain,
spl21_196,
inference(rat,[],[s159,s195,s76,s216]) ).
cnf(s221,plain,
spl21_53,
inference(rat,[],[s206,s216]) ).
cnf(s222,plain,
~ spl21_102,
inference(rat,[],[s173,s217,s219,s221]) ).
cnf(s224,plain,
~ spl21_123,
inference(rat,[],[s194,s222]) ).
cnf(s225,plain,
spl21_101,
inference(rat,[],[s73,s222]) ).
cnf(s226,plain,
$false,
inference(rat,[],[s92,s224,s225]) ).
fof(f2204,plain,
$false,
inference(avatar_sat_refutation,[],[s226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL658+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n011.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
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 16:21:30 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.46/2.00 % (2598066)Detected formulas, will run a generic FOF schedule.
% 6.46/2.00 % (2598074)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3346906524:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.46/2.00 % (2598074)Instruction limit reached!
% 6.46/2.00 % (2598074)------------------------------
% 6.46/2.00 % (2598074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/2.00 % (2598074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/2.00 % (2598074)CaDiCaL version: 2.1.3
% 6.46/2.00 % (2598074)Termination reason: Instruction limit
% 6.46/2.00 % (2598074)Termination phase: Saturation
% 6.46/2.00 % (2598074)Time elapsed: 0.035 s
% 6.46/2.00 % (2598074)Peak memory usage: 89 MB
% 6.46/2.00 % (2598074)Instructions burned: 111 (million)
% 6.46/2.00 % (2598076)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1489180974:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.46/2.00 % (2598071)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=2423977202:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.46/2.00 % (2598072)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=2897795709:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.46/2.00 % (2598077)dis-21_1_sil=8000:lcm=predicate:random_seed=401626598: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)
% 6.46/2.00 % (2598075)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2490555162:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.46/2.00 % (2598073)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=2430463854:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.46/2.00 % (2598075)Instruction limit reached!
% 6.46/2.00 % (2598075)------------------------------
% 6.46/2.00 % (2598075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/2.00 % (2598075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/2.00 % (2598075)CaDiCaL version: 2.1.3
% 6.46/2.00 % (2598075)Termination reason: Instruction limit
% 6.46/2.00 % (2598075)Termination phase: Saturation
% 6.46/2.00 % (2598075)Time elapsed: 0.067 s
% 6.46/2.00 % (2598075)Peak memory usage: 88 MB
% 6.46/2.00 % (2598075)Instructions burned: 120 (million)
% 6.46/2.00 % (2598077)Instruction limit reached!
% 6.46/2.00 % (2598077)------------------------------
% 6.46/2.00 % (2598077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/2.00 % (2598077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/2.00 % (2598077)CaDiCaL version: 2.1.3
% 6.46/2.00 % (2598077)Termination reason: Instruction limit
% 6.46/2.00 % (2598077)Termination phase: Saturation
% 6.46/2.00 % (2598077)Time elapsed: 0.068 s
% 6.46/2.00 % (2598077)Peak memory usage: 88 MB
% 6.46/2.00 % (2598077)Instructions burned: 130 (million)
% 6.46/2.00 % (2598079)lrs+10_1_sil=8000:sp=occurrence:random_seed=3592658138:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.46/2.00 % (2598076)Instruction limit reached!
% 6.46/2.00 % (2598076)------------------------------
% 6.46/2.00 % (2598076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/2.00 % (2598076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/2.00 % (2598076)CaDiCaL version: 2.1.3
% 6.46/2.00 % (2598076)Termination reason: Instruction limit
% 6.46/2.00 % (2598076)Termination phase: Saturation
% 6.46/2.00 % (2598076)Time elapsed: 0.088 s
% 6.46/2.00 % (2598076)Peak memory usage: 89 MB
% 6.46/2.00 % (2598076)Instructions burned: 141 (million)
% 6.46/2.00 % (2598079)Instruction limit reached!
% 6.46/2.00 % (2598079)------------------------------
% 6.46/2.00 % (2598079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/2.00 % (2598079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/2.00 % (2598079)CaDiCaL version: 2.1.3
% 6.46/2.00 % (2598079)Termination reason: Instruction limit
% 6.46/2.00 % (2598079)Termination phase: Saturation
% 6.46/2.00 % (2598079)Time elapsed: 0.092 s
% 6.46/2.00 % (2598079)Peak memory usage: 92 MB
% 6.46/2.00 % (2598079)Instructions burned: 287 (million)
% 6.46/2.00 % (2598086)lrs+10_1_sil=32000:urr=on:br=off:random_seed=738874347:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.46/2.00 % (2598088)lrs+1011_1_sil=32000:sp=occurrence:random_seed=486652924:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.46/2.00 % (2598086)Refutation not found, incomplete strategy
% 6.46/2.00 % (2598086)------------------------------
% 6.46/2.00 % (2598086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/2.00 % (2598086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/2.00 % (2598086)CaDiCaL version: 2.1.3
% 6.46/2.00 % (2598086)Termination reason: Refutation not found, incomplete strategy
% 6.46/2.00 % (2598086)Time elapsed: 0.011 s
% 6.46/2.00 % (2598086)Peak memory usage: 88 MB
% 6.46/2.00 % (2598086)Instructions burned: 20 (million)
% 6.46/2.00 % (2598089)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=42285782:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.46/2.00 % (2598089)Refutation not found, incomplete strategy
% 6.46/2.00 % (2598089)------------------------------
% 6.46/2.00 % (2598089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/2.00 % (2598089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/2.00 % (2598089)CaDiCaL version: 2.1.3
% 6.46/2.00 % (2598089)Termination reason: Refutation not found, incomplete strategy
% 6.46/2.00 % (2598089)Time elapsed: 0.010 s
% 6.46/2.00 % (2598089)Peak memory usage: 88 MB
% 6.46/2.00 % (2598089)Instructions burned: 17 (million)
% 6.46/2.00 % (2598090)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=774929660:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.46/2.00 % (2598090)Instruction limit reached!
% 6.46/2.00 % (2598090)------------------------------
% 6.46/2.00 % (2598090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/2.00 % (2598090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/2.00 % (2598090)CaDiCaL version: 2.1.3
% 6.46/2.00 % (2598090)Termination reason: Instruction limit
% 6.46/2.00 % (2598090)Termination phase: Saturation
% 6.46/2.00 % (2598090)Time elapsed: 0.080 s
% 6.46/2.00 % (2598090)Peak memory usage: 88 MB
% 6.46/2.00 % (2598090)Instructions burned: 294 (million)
% 6.46/2.00 % (2598088)Instruction limit reached!
% 6.46/2.00 % (2598088)------------------------------
% 6.46/2.00 % (2598088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/2.00 % (2598088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/2.00 % (2598088)CaDiCaL version: 2.1.3
% 6.46/2.00 % (2598088)Termination reason: Instruction limit
% 6.46/2.00 % (2598088)Termination phase: Saturation
% 6.46/2.00 % (2598088)Time elapsed: 0.172 s
% 6.46/2.00 % (2598088)Peak memory usage: 90 MB
% 6.46/2.00 % (2598088)Instructions burned: 326 (million)
% 6.46/2.00 % (2598095)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1873734372:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.46/2.00 % (2598086)------------------------------
% 6.46/2.00 % (2598086)------------------------------
% 6.46/2.00 % (2598089)------------------------------
% 6.46/2.00 % (2598089)------------------------------
% 6.46/2.00 % (2598096)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3534101868:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.46/2.00 % (2598096)Instruction limit reached!
% 6.46/2.00 % (2598096)------------------------------
% 6.46/2.00 % (2598096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/2.00 % (2598096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/2.00 % (2598096)CaDiCaL version: 2.1.3
% 6.46/2.00 % (2598096)Termination reason: Instruction limit
% 6.46/2.00 % (2598096)Termination phase: Saturation
% 6.46/2.00 % (2598096)Time elapsed: 0.067 s
% 6.46/2.00 % (2598096)Peak memory usage: 90 MB
% 6.46/2.00 % (2598096)Instructions burned: 114 (million)
% 6.46/2.00 % (2598098)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2699666567:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.46/2.00 % (2598099)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2121768575:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.46/2.00 % (2598098)Instruction limit reached!
% 6.46/2.00 % (2598098)------------------------------
% 6.46/2.00 % (2598098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/2.00 % (2598098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/2.00 % (2598098)CaDiCaL version: 2.1.3
% 6.46/2.00 % (2598098)Termination reason: Instruction limit
% 6.46/2.00 % (2598098)Termination phase: Saturation
% 6.46/2.00 % (2598098)Time elapsed: 0.073 s
% 6.46/2.00 % (2598098)Peak memory usage: 89 MB
% 6.46/2.00 % (2598098)Instructions burned: 127 (million)
% 6.46/2.00 % (2598099)Instruction limit reached!
% 6.46/2.00 % (2598099)------------------------------
% 6.46/2.00 % (2598099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/2.00 % (2598099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/2.00 % (2598099)CaDiCaL version: 2.1.3
% 6.46/2.00 % (2598099)Termination reason: Instruction limit
% 6.46/2.00 % (2598099)Termination phase: Saturation
% 6.46/2.00 % (2598099)Time elapsed: 0.063 s
% 6.46/2.00 % (2598099)Peak memory usage: 88 MB
% 6.46/2.00 % (2598099)Instructions burned: 114 (million)
% 6.46/2.00 % (2598101)lrs+10_1_sil=8000:sp=occurrence:random_seed=2382800690:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.46/2.00 % (2598071)First to succeed.
% 6.46/2.00 % (2598071)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2598066"
% 6.46/2.00 % (2598104)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1414547430:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.46/2.00 % (2598105)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1003792112:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.46/2.00 % (2598072)Also succeeded, but the first one will report.
% 6.46/2.00 % (2598095)Also succeeded, but the first one will report.
% 6.46/2.00 % (2598071)Refutation found. Thanks to Tanya!
% 6.46/2.00 % SZS status Theorem for theBenchmark
% 6.46/2.00 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/2.20 % (2598071)------------------------------
% 0.16/2.20 % (2598071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.20 % (2598071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.20 % (2598071)CaDiCaL version: 2.1.3
% 0.16/2.20 % (2598071)Termination reason: Refutation
% 0.16/2.20 % (2598071)Time elapsed: 0.748 s
% 0.16/2.20 % (2598071)Peak memory usage: 130 MB
% 0.16/2.20 % (2598071)Instructions burned: 1082 (million)
% 0.16/2.20 % (2598071)------------------------------
% 0.16/2.20 % (2598071)------------------------------
% 0.16/2.20 % (2598066)Success in time 1.155 s
% 0.16/2.20 % Vampire exiting
%------------------------------------------------------------------------------