TSTP Solution File: LCL640+1.001 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL640+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:48:52 EDT 2022
% Result : Theorem 2.23s 0.68s
% Output : Refutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 45
% Syntax : Number of formulae : 257 ( 9 unt; 0 def)
% Number of atoms : 1603 ( 0 equ)
% Maximal formula atoms : 62 ( 6 avg)
% Number of connectives : 2332 ( 986 ~;1057 |; 249 &)
% ( 23 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 24 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-1 aty)
% Number of variables : 553 ( 440 !; 113 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f736,plain,
$false,
inference(avatar_sat_refutation,[],[f102,f129,f150,f163,f168,f203,f207,f238,f251,f256,f265,f286,f291,f296,f315,f474,f494,f542,f548,f553,f558,f576,f649,f656,f673,f733]) ).
fof(f733,plain,
( spl21_20
| spl21_21
| ~ spl21_25 ),
inference(avatar_split_clause,[],[f732,f231,f200,f197]) ).
fof(f197,plain,
( spl21_20
<=> ! [X0] :
( ~ r1(sK14,X0)
| r1(X0,sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_20])]) ).
fof(f200,plain,
( spl21_21
<=> p1(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_21])]) ).
fof(f231,plain,
( spl21_25
<=> p1(sK7(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_25])]) ).
fof(f732,plain,
( ! [X0] :
( ~ r1(sK14,X0)
| r1(X0,sK6(X0)) )
| spl21_21
| ~ spl21_25 ),
inference(subsumption_resolution,[],[f731,f80]) ).
fof(f80,plain,
sP2(sK14),
inference(resolution,[],[f67,f70]) ).
fof(f70,plain,
r1(sK13,sK14),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ! [X3] :
( ~ r1(sK15,X3)
| p1(X3) )
& r1(sK14,sK15)
& ! [X4] :
( ( p1(sK16(X4))
& r1(sK16(X4),sK17(X4))
& ~ p1(sK17(X4))
& r1(X4,sK16(X4)) )
| p1(X4)
| ~ r1(sK14,X4) )
& r1(sK14,sK18)
& ~ p1(sK18)
& r1(sK13,sK14)
& ! [X8] :
( ( ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ( ~ p1(sK19(X9))
& r1(X9,sK19(X9)) ) )
& sP2(X8)
& sP3(X8)
& ( ( r1(X8,sK20(X8))
& ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ p1(X14)
| ~ r1(sK20(X8),X14) )
& ~ p1(sK20(X8)) )
| sP0(X8) ) )
| ~ r1(sK13,X8) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20])],[f32,f40,f39,f38,f37,f36,f35,f34,f33]) ).
fof(f33,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| p1(X3) )
& r1(X1,X2) )
& ! [X4] :
( ? [X5] :
( p1(X5)
& ? [X6] :
( r1(X5,X6)
& ~ p1(X6) )
& r1(X4,X5) )
| p1(X4)
| ~ r1(X1,X4) )
& ? [X7] :
( r1(X1,X7)
& ~ p1(X7) )
& r1(X0,X1) )
& ! [X8] :
( ( ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ? [X12] :
( ~ p1(X12)
& r1(X9,X12) ) )
& sP2(X8)
& sP3(X8)
& ( ? [X13] :
( r1(X8,X13)
& ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ p1(X14)
| ~ r1(X13,X14) )
& ~ p1(X13) )
| sP0(X8) ) )
| ~ r1(X0,X8) ) )
=> ( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| p1(X3) )
& r1(X1,X2) )
& ! [X4] :
( ? [X5] :
( p1(X5)
& ? [X6] :
( r1(X5,X6)
& ~ p1(X6) )
& r1(X4,X5) )
| p1(X4)
| ~ r1(X1,X4) )
& ? [X7] :
( r1(X1,X7)
& ~ p1(X7) )
& r1(sK13,X1) )
& ! [X8] :
( ( ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ? [X12] :
( ~ p1(X12)
& r1(X9,X12) ) )
& sP2(X8)
& sP3(X8)
& ( ? [X13] :
( r1(X8,X13)
& ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ p1(X14)
| ~ r1(X13,X14) )
& ~ p1(X13) )
| sP0(X8) ) )
| ~ r1(sK13,X8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| p1(X3) )
& r1(X1,X2) )
& ! [X4] :
( ? [X5] :
( p1(X5)
& ? [X6] :
( r1(X5,X6)
& ~ p1(X6) )
& r1(X4,X5) )
| p1(X4)
| ~ r1(X1,X4) )
& ? [X7] :
( r1(X1,X7)
& ~ p1(X7) )
& r1(sK13,X1) )
=> ( ? [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| p1(X3) )
& r1(sK14,X2) )
& ! [X4] :
( ? [X5] :
( p1(X5)
& ? [X6] :
( r1(X5,X6)
& ~ p1(X6) )
& r1(X4,X5) )
| p1(X4)
| ~ r1(sK14,X4) )
& ? [X7] :
( r1(sK14,X7)
& ~ p1(X7) )
& r1(sK13,sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
( ? [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| p1(X3) )
& r1(sK14,X2) )
=> ( ! [X3] :
( ~ r1(sK15,X3)
| p1(X3) )
& r1(sK14,sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X4] :
( ? [X5] :
( p1(X5)
& ? [X6] :
( r1(X5,X6)
& ~ p1(X6) )
& r1(X4,X5) )
=> ( p1(sK16(X4))
& ? [X6] :
( r1(sK16(X4),X6)
& ~ p1(X6) )
& r1(X4,sK16(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X4] :
( ? [X6] :
( r1(sK16(X4),X6)
& ~ p1(X6) )
=> ( r1(sK16(X4),sK17(X4))
& ~ p1(sK17(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
( ? [X7] :
( r1(sK14,X7)
& ~ p1(X7) )
=> ( r1(sK14,sK18)
& ~ p1(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X9] :
( ? [X12] :
( ~ p1(X12)
& r1(X9,X12) )
=> ( ~ p1(sK19(X9))
& r1(X9,sK19(X9)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X8] :
( ? [X13] :
( r1(X8,X13)
& ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ p1(X14)
| ~ r1(X13,X14) )
& ~ p1(X13) )
=> ( r1(X8,sK20(X8))
& ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ p1(X14)
| ~ r1(sK20(X8),X14) )
& ~ p1(sK20(X8)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| p1(X3) )
& r1(X1,X2) )
& ! [X4] :
( ? [X5] :
( p1(X5)
& ? [X6] :
( r1(X5,X6)
& ~ p1(X6) )
& r1(X4,X5) )
| p1(X4)
| ~ r1(X1,X4) )
& ? [X7] :
( r1(X1,X7)
& ~ p1(X7) )
& r1(X0,X1) )
& ! [X8] :
( ( ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ? [X12] :
( ~ p1(X12)
& r1(X9,X12) ) )
& sP2(X8)
& sP3(X8)
& ( ? [X13] :
( r1(X8,X13)
& ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ p1(X14)
| ~ r1(X13,X14) )
& ~ p1(X13) )
| sP0(X8) ) )
| ~ r1(X0,X8) ) ),
inference(rectify,[],[f10]) ).
fof(f10,plain,
? [X0] :
( ? [X28] :
( ? [X30] :
( ! [X31] :
( ~ r1(X30,X31)
| p1(X31) )
& r1(X28,X30) )
& ! [X32] :
( ? [X33] :
( p1(X33)
& ? [X34] :
( r1(X33,X34)
& ~ p1(X34) )
& r1(X32,X33) )
| p1(X32)
| ~ r1(X28,X32) )
& ? [X29] :
( r1(X28,X29)
& ~ p1(X29) )
& r1(X0,X28) )
& ! [X1] :
( ( ! [X17] :
( ~ r1(X1,X17)
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ? [X20] :
( ~ p1(X20)
& r1(X17,X20) ) )
& sP2(X1)
& sP3(X1)
& ( ? [X25] :
( r1(X1,X25)
& ! [X26] :
( ! [X27] :
( p1(X27)
| ~ r1(X26,X27) )
| ~ p1(X26)
| ~ r1(X25,X26) )
& ~ p1(X25) )
| sP0(X1) ) )
| ~ r1(X0,X1) ) ),
inference(definition_folding,[],[f5,f9,f8,f7,f6]) ).
fof(f6,plain,
! [X1] :
( ! [X21] :
( ~ r1(X1,X21)
| ! [X22] :
( ~ r1(X21,X22)
| p1(X22)
| ? [X23] :
( ? [X24] :
( r1(X23,X24)
& ~ p1(X24) )
& p1(X23)
& r1(X22,X23) ) ) )
| ~ sP0(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f7,plain,
! [X1] :
( ? [X3] :
( r1(X1,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p1(X4) )
& ! [X5] :
( ~ r1(X3,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ~ p1(X6)
| ! [X7] :
( ~ r1(X6,X7)
| p1(X7) ) )
| ( p1(X5)
& ? [X8] :
( r1(X5,X8)
& ~ p1(X8) ) ) )
& p1(X3) )
| ~ sP1(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f8,plain,
! [X1] :
( p1(X1)
| ! [X12] :
( ~ r1(X1,X12)
| ? [X13] :
( ~ p1(X13)
& r1(X12,X13) ) )
| ? [X14] :
( ~ p1(X14)
& r1(X1,X14)
& ! [X15] :
( ~ p1(X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
| ~ r1(X14,X15) ) )
| ~ sP2(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f9,plain,
! [X1] :
( sP1(X1)
| ~ p1(X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
| ! [X9] :
( ~ r1(X1,X9)
| ? [X10] :
( r1(X9,X10)
& ? [X11] :
( ~ p1(X11)
& r1(X10,X11) )
& p1(X10) ) )
| ~ sP3(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f5,plain,
? [X0] :
( ? [X28] :
( ? [X30] :
( ! [X31] :
( ~ r1(X30,X31)
| p1(X31) )
& r1(X28,X30) )
& ! [X32] :
( ? [X33] :
( p1(X33)
& ? [X34] :
( r1(X33,X34)
& ~ p1(X34) )
& r1(X32,X33) )
| p1(X32)
| ~ r1(X28,X32) )
& ? [X29] :
( r1(X28,X29)
& ~ p1(X29) )
& r1(X0,X28) )
& ! [X1] :
( ( ! [X17] :
( ~ r1(X1,X17)
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ? [X20] :
( ~ p1(X20)
& r1(X17,X20) ) )
& ( p1(X1)
| ! [X12] :
( ~ r1(X1,X12)
| ? [X13] :
( ~ p1(X13)
& r1(X12,X13) ) )
| ? [X14] :
( ~ p1(X14)
& r1(X1,X14)
& ! [X15] :
( ~ p1(X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
| ~ r1(X14,X15) ) ) )
& ( ? [X3] :
( r1(X1,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p1(X4) )
& ! [X5] :
( ~ r1(X3,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ~ p1(X6)
| ! [X7] :
( ~ r1(X6,X7)
| p1(X7) ) )
| ( p1(X5)
& ? [X8] :
( r1(X5,X8)
& ~ p1(X8) ) ) )
& p1(X3) )
| ~ p1(X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
| ! [X9] :
( ~ r1(X1,X9)
| ? [X10] :
( r1(X9,X10)
& ? [X11] :
( ~ p1(X11)
& r1(X10,X11) )
& p1(X10) ) ) )
& ( ? [X25] :
( r1(X1,X25)
& ! [X26] :
( ! [X27] :
( p1(X27)
| ~ r1(X26,X27) )
| ~ p1(X26)
| ~ r1(X25,X26) )
& ~ p1(X25) )
| ! [X21] :
( ~ r1(X1,X21)
| ! [X22] :
( ~ r1(X21,X22)
| p1(X22)
| ? [X23] :
( ? [X24] :
( r1(X23,X24)
& ~ p1(X24) )
& p1(X23)
& r1(X22,X23) ) ) ) ) )
| ~ r1(X0,X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ! [X1] :
( ( ( ~ ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| p1(X4) )
| ~ r1(X1,X3)
| ~ p1(X3)
| ~ ! [X5] :
( ! [X6] :
( ~ r1(X5,X6)
| ~ p1(X6)
| ! [X7] :
( ~ r1(X6,X7)
| p1(X7) ) )
| ~ r1(X3,X5)
| ~ ( ~ p1(X5)
| ! [X8] :
( p1(X8)
| ~ r1(X5,X8) ) ) ) )
| ! [X9] :
( ~ r1(X1,X9)
| ~ ! [X10] :
( ~ p1(X10)
| ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p1(X11) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
| ~ p1(X1) )
& ( ~ ! [X25] :
( ~ ! [X26] :
( ! [X27] :
( p1(X27)
| ~ r1(X26,X27) )
| ~ p1(X26)
| ~ r1(X25,X26) )
| ~ r1(X1,X25)
| p1(X25) )
| ! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| p1(X22)
| ~ ! [X23] :
( ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23)
| ~ p1(X23) ) )
| ~ r1(X1,X21) ) )
& ( ~ ! [X14] :
( ~ ! [X15] :
( ~ p1(X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
| ~ r1(X14,X15) )
| ~ r1(X1,X14)
| p1(X14) )
| ! [X12] :
( ~ ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X1,X12) )
| p1(X1) )
& ! [X17] :
( ~ ! [X20] :
( ~ r1(X17,X20)
| p1(X20) )
| ~ r1(X1,X17)
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) ) ) )
| ~ r1(X0,X1) )
| ! [X28] :
( ! [X30] :
( ~ ! [X31] :
( ~ r1(X30,X31)
| p1(X31) )
| ~ r1(X28,X30) )
| ! [X29] :
( ~ r1(X28,X29)
| p1(X29) )
| ~ r1(X0,X28)
| ~ ! [X32] :
( ~ r1(X28,X32)
| ~ ! [X33] :
( ~ r1(X32,X33)
| ~ p1(X33)
| ! [X34] :
( ~ r1(X33,X34)
| p1(X34) ) )
| p1(X32) ) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ( ( ~ ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| p1(X4) )
| ~ r1(X1,X3)
| ~ p1(X3)
| ~ ! [X5] :
( ! [X6] :
( ~ r1(X5,X6)
| ~ p1(X6)
| ! [X7] :
( ~ r1(X6,X7)
| p1(X7) ) )
| ~ r1(X3,X5)
| ~ ( ~ p1(X5)
| ! [X8] :
( p1(X8)
| ~ r1(X5,X8) ) ) ) )
| ! [X9] :
( ~ r1(X1,X9)
| ~ ! [X10] :
( ~ p1(X10)
| ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p1(X11) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
| ~ p1(X1) )
& ( ~ ! [X25] :
( ~ ! [X26] :
( ! [X27] :
( p1(X27)
| ~ r1(X26,X27) )
| ~ p1(X26)
| ~ r1(X25,X26) )
| ~ r1(X1,X25)
| p1(X25) )
| ! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| p1(X22)
| ~ ! [X23] :
( ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23)
| ~ p1(X23) ) )
| ~ r1(X1,X21) ) )
& ( ~ ! [X14] :
( ~ ! [X15] :
( ~ p1(X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
| ~ r1(X14,X15) )
| ~ r1(X1,X14)
| p1(X14) )
| ! [X12] :
( ~ ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X1,X12) )
| p1(X1) )
& ! [X17] :
( ~ ! [X20] :
( ~ r1(X17,X20)
| p1(X20) )
| ~ r1(X1,X17)
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) ) ) )
| ~ r1(X0,X1) )
| ~ ~ ! [X28] :
( ! [X30] :
( ~ ! [X31] :
( ~ r1(X30,X31)
| p1(X31) )
| ~ r1(X28,X30) )
| ! [X29] :
( ~ r1(X28,X29)
| p1(X29) )
| ~ r1(X0,X28)
| ~ ! [X32] :
( ~ r1(X28,X32)
| ~ ! [X33] :
( ~ r1(X32,X33)
| ~ p1(X33)
| ! [X34] :
( ~ r1(X33,X34)
| p1(X34) ) )
| p1(X32) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ( ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ~ ( ~ p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ~ r1(X0,X1) )
| ~ p1(X0) )
| ~ p1(X1)
| ! [X0] :
( ~ ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ~ p1(X1) )
| ~ r1(X1,X0) ) )
& ( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) ) )
| p1(X1) )
& ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ~ r1(X1,X0)
| p1(X0) ) ) )
| ~ r1(X0,X1) )
| ~ ~ ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) )
| p1(X0) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ( ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ~ ( ~ p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ~ r1(X0,X1) )
| ~ p1(X0) )
| ~ p1(X1)
| ! [X0] :
( ~ ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ~ p1(X1) )
| ~ r1(X1,X0) ) )
& ( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) ) )
| p1(X1) )
& ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ~ r1(X1,X0)
| p1(X0) ) ) )
| ~ r1(X0,X1) )
| ~ ~ ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) )
| p1(X0) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f67,plain,
! [X8] :
( ~ r1(sK13,X8)
| sP2(X8) ),
inference(cnf_transformation,[],[f41]) ).
fof(f731,plain,
( ! [X0] :
( ~ r1(sK14,X0)
| r1(X0,sK6(X0))
| ~ sP2(sK14) )
| spl21_21
| ~ spl21_25 ),
inference(subsumption_resolution,[],[f729,f201]) ).
fof(f201,plain,
( ~ p1(sK14)
| spl21_21 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f729,plain,
( ! [X0] :
( p1(sK14)
| r1(X0,sK6(X0))
| ~ r1(sK14,X0)
| ~ sP2(sK14) )
| ~ spl21_25 ),
inference(resolution,[],[f233,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ p1(sK7(X0))
| ~ r1(X0,X1)
| p1(X0)
| ~ sP2(X0)
| r1(X1,sK6(X1)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ~ p1(sK6(X1))
& r1(X1,sK6(X1)) ) )
| ( ~ p1(sK7(X0))
& r1(X0,sK7(X0))
& ! [X4] :
( ~ p1(X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ r1(sK7(X0),X4) ) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f17,f19,f18]) ).
fof(f18,plain,
! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
=> ( ~ p1(sK6(X1))
& r1(X1,sK6(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( ? [X3] :
( ~ p1(X3)
& r1(X0,X3)
& ! [X4] :
( ~ p1(X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ r1(X3,X4) ) )
=> ( ~ p1(sK7(X0))
& r1(X0,sK7(X0))
& ! [X4] :
( ~ p1(X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ r1(sK7(X0),X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| ? [X2] :
( ~ p1(X2)
& r1(X1,X2) ) )
| ? [X3] :
( ~ p1(X3)
& r1(X0,X3)
& ! [X4] :
( ~ p1(X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ r1(X3,X4) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X1] :
( p1(X1)
| ! [X12] :
( ~ r1(X1,X12)
| ? [X13] :
( ~ p1(X13)
& r1(X12,X13) ) )
| ? [X14] :
( ~ p1(X14)
& r1(X1,X14)
& ! [X15] :
( ~ p1(X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
| ~ r1(X14,X15) ) )
| ~ sP2(X1) ),
inference(nnf_transformation,[],[f8]) ).
fof(f233,plain,
( p1(sK7(sK14))
| ~ spl21_25 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f673,plain,
( ~ spl21_19
| spl21_25
| ~ spl21_29
| ~ spl21_67 ),
inference(avatar_contradiction_clause,[],[f672]) ).
fof(f672,plain,
( $false
| ~ spl21_19
| spl21_25
| ~ spl21_29
| ~ spl21_67 ),
inference(subsumption_resolution,[],[f671,f232]) ).
fof(f232,plain,
( ~ p1(sK7(sK14))
| spl21_25 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f671,plain,
( p1(sK7(sK14))
| ~ spl21_19
| ~ spl21_29
| ~ spl21_67 ),
inference(subsumption_resolution,[],[f670,f195]) ).
fof(f195,plain,
( r1(sK14,sK7(sK14))
| ~ spl21_19 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl21_19
<=> r1(sK14,sK7(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_19])]) ).
fof(f670,plain,
( ~ r1(sK14,sK7(sK14))
| p1(sK7(sK14))
| ~ spl21_29
| ~ spl21_67 ),
inference(resolution,[],[f665,f74]) ).
fof(f74,plain,
! [X4] :
( ~ p1(sK17(X4))
| p1(X4)
| ~ r1(sK14,X4) ),
inference(cnf_transformation,[],[f41]) ).
fof(f665,plain,
( p1(sK17(sK7(sK14)))
| ~ spl21_29
| ~ spl21_67 ),
inference(resolution,[],[f655,f250]) ).
fof(f250,plain,
( r1(sK16(sK7(sK14)),sK17(sK7(sK14)))
| ~ spl21_29 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl21_29
<=> r1(sK16(sK7(sK14)),sK17(sK7(sK14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_29])]) ).
fof(f655,plain,
( ! [X2] :
( ~ r1(sK16(sK7(sK14)),X2)
| p1(X2) )
| ~ spl21_67 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f654,plain,
( spl21_67
<=> ! [X2] :
( p1(X2)
| ~ r1(sK16(sK7(sK14)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_67])]) ).
fof(f656,plain,
( spl21_67
| spl21_20
| spl21_21
| ~ spl21_26
| ~ spl21_30 ),
inference(avatar_split_clause,[],[f652,f253,f235,f200,f197,f654]) ).
fof(f235,plain,
( spl21_26
<=> r1(sK7(sK14),sK16(sK7(sK14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_26])]) ).
fof(f253,plain,
( spl21_30
<=> p1(sK16(sK7(sK14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_30])]) ).
fof(f652,plain,
( ! [X2,X3] :
( ~ r1(sK14,X3)
| p1(X2)
| r1(X3,sK6(X3))
| ~ r1(sK16(sK7(sK14)),X2) )
| spl21_21
| ~ spl21_26
| ~ spl21_30 ),
inference(subsumption_resolution,[],[f651,f255]) ).
fof(f255,plain,
( p1(sK16(sK7(sK14)))
| ~ spl21_30 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f651,plain,
( ! [X2,X3] :
( ~ p1(sK16(sK7(sK14)))
| ~ r1(sK14,X3)
| ~ r1(sK16(sK7(sK14)),X2)
| r1(X3,sK6(X3))
| p1(X2) )
| spl21_21
| ~ spl21_26 ),
inference(subsumption_resolution,[],[f650,f201]) ).
fof(f650,plain,
( ! [X2,X3] :
( p1(sK14)
| ~ p1(sK16(sK7(sK14)))
| r1(X3,sK6(X3))
| p1(X2)
| ~ r1(sK16(sK7(sK14)),X2)
| ~ r1(sK14,X3) )
| ~ spl21_26 ),
inference(subsumption_resolution,[],[f597,f80]) ).
fof(f597,plain,
( ! [X2,X3] :
( p1(X2)
| ~ sP2(sK14)
| p1(sK14)
| r1(X3,sK6(X3))
| ~ r1(sK16(sK7(sK14)),X2)
| ~ r1(sK14,X3)
| ~ p1(sK16(sK7(sK14))) )
| ~ spl21_26 ),
inference(resolution,[],[f237,f46]) ).
fof(f46,plain,
! [X0,X1,X4,X5] :
( ~ r1(sK7(X0),X4)
| p1(X5)
| ~ sP2(X0)
| p1(X0)
| ~ r1(X4,X5)
| ~ r1(X0,X1)
| ~ p1(X4)
| r1(X1,sK6(X1)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f237,plain,
( r1(sK7(sK14),sK16(sK7(sK14)))
| ~ spl21_26 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f649,plain,
( ~ spl21_19
| ~ spl21_20
| spl21_21
| spl21_25
| ~ spl21_26
| ~ spl21_29
| ~ spl21_30 ),
inference(avatar_contradiction_clause,[],[f648]) ).
fof(f648,plain,
( $false
| ~ spl21_19
| ~ spl21_20
| spl21_21
| spl21_25
| ~ spl21_26
| ~ spl21_29
| ~ spl21_30 ),
inference(subsumption_resolution,[],[f647,f232]) ).
fof(f647,plain,
( p1(sK7(sK14))
| ~ spl21_19
| ~ spl21_20
| spl21_21
| ~ spl21_26
| ~ spl21_29
| ~ spl21_30 ),
inference(subsumption_resolution,[],[f646,f195]) ).
fof(f646,plain,
( ~ r1(sK14,sK7(sK14))
| p1(sK7(sK14))
| ~ spl21_20
| spl21_21
| ~ spl21_26
| ~ spl21_29
| ~ spl21_30 ),
inference(resolution,[],[f645,f74]) ).
fof(f645,plain,
( p1(sK17(sK7(sK14)))
| ~ spl21_20
| spl21_21
| ~ spl21_26
| ~ spl21_29
| ~ spl21_30 ),
inference(resolution,[],[f250,f601]) ).
fof(f601,plain,
( ! [X1] :
( ~ r1(sK16(sK7(sK14)),X1)
| p1(X1) )
| ~ spl21_20
| spl21_21
| ~ spl21_26
| ~ spl21_30 ),
inference(subsumption_resolution,[],[f600,f80]) ).
fof(f600,plain,
( ! [X1] :
( ~ r1(sK16(sK7(sK14)),X1)
| ~ sP2(sK14)
| p1(X1) )
| ~ spl21_20
| spl21_21
| ~ spl21_26
| ~ spl21_30 ),
inference(subsumption_resolution,[],[f599,f201]) ).
fof(f599,plain,
( ! [X1] :
( p1(sK14)
| p1(X1)
| ~ sP2(sK14)
| ~ r1(sK16(sK7(sK14)),X1) )
| ~ spl21_20
| ~ spl21_26
| ~ spl21_30 ),
inference(subsumption_resolution,[],[f598,f255]) ).
fof(f598,plain,
( ! [X1] :
( ~ p1(sK16(sK7(sK14)))
| p1(sK14)
| p1(X1)
| ~ sP2(sK14)
| ~ r1(sK16(sK7(sK14)),X1) )
| ~ spl21_20
| ~ spl21_26 ),
inference(subsumption_resolution,[],[f596,f77]) ).
fof(f77,plain,
r1(sK14,sK15),
inference(cnf_transformation,[],[f41]) ).
fof(f596,plain,
( ! [X1] :
( p1(X1)
| ~ r1(sK14,sK15)
| ~ p1(sK16(sK7(sK14)))
| p1(sK14)
| ~ r1(sK16(sK7(sK14)),X1)
| ~ sP2(sK14) )
| ~ spl21_20
| ~ spl21_26 ),
inference(resolution,[],[f237,f280]) ).
fof(f280,plain,
( ! [X2,X0,X1] :
( ~ r1(sK7(X0),X1)
| ~ r1(X0,sK15)
| ~ p1(X1)
| ~ r1(X1,X2)
| p1(X2)
| ~ sP2(X0)
| p1(X0) )
| ~ spl21_20 ),
inference(resolution,[],[f279,f49]) ).
fof(f49,plain,
! [X0,X1,X4,X5] :
( ~ p1(sK6(X1))
| ~ r1(X0,X1)
| ~ r1(X4,X5)
| ~ sP2(X0)
| p1(X0)
| ~ r1(sK7(X0),X4)
| ~ p1(X4)
| p1(X5) ),
inference(cnf_transformation,[],[f20]) ).
fof(f279,plain,
( p1(sK6(sK15))
| ~ spl21_20 ),
inference(resolution,[],[f275,f78]) ).
fof(f78,plain,
! [X3] :
( ~ r1(sK15,X3)
| p1(X3) ),
inference(cnf_transformation,[],[f41]) ).
fof(f275,plain,
( r1(sK15,sK6(sK15))
| ~ spl21_20 ),
inference(resolution,[],[f198,f77]) ).
fof(f198,plain,
( ! [X0] :
( ~ r1(sK14,X0)
| r1(X0,sK6(X0)) )
| ~ spl21_20 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f576,plain,
( ~ spl21_20
| spl21_21
| ~ spl21_25 ),
inference(avatar_contradiction_clause,[],[f575]) ).
fof(f575,plain,
( $false
| ~ spl21_20
| spl21_21
| ~ spl21_25 ),
inference(subsumption_resolution,[],[f569,f77]) ).
fof(f569,plain,
( ~ r1(sK14,sK15)
| ~ spl21_20
| spl21_21
| ~ spl21_25 ),
inference(resolution,[],[f568,f279]) ).
fof(f568,plain,
( ! [X1] :
( ~ p1(sK6(X1))
| ~ r1(sK14,X1) )
| spl21_21
| ~ spl21_25 ),
inference(subsumption_resolution,[],[f567,f80]) ).
fof(f567,plain,
( ! [X1] :
( ~ r1(sK14,X1)
| ~ p1(sK6(X1))
| ~ sP2(sK14) )
| spl21_21
| ~ spl21_25 ),
inference(subsumption_resolution,[],[f566,f201]) ).
fof(f566,plain,
( ! [X1] :
( ~ r1(sK14,X1)
| p1(sK14)
| ~ sP2(sK14)
| ~ p1(sK6(X1)) )
| ~ spl21_25 ),
inference(resolution,[],[f233,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ p1(sK7(X0))
| ~ r1(X0,X1)
| ~ p1(sK6(X1))
| ~ sP2(X0)
| p1(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f558,plain,
~ spl21_61,
inference(avatar_contradiction_clause,[],[f557]) ).
fof(f557,plain,
( $false
| ~ spl21_61 ),
inference(subsumption_resolution,[],[f556,f77]) ).
fof(f556,plain,
( ~ r1(sK14,sK15)
| ~ spl21_61 ),
inference(resolution,[],[f547,f70]) ).
fof(f547,plain,
( ! [X2] :
( ~ r1(sK13,X2)
| ~ r1(X2,sK15) )
| ~ spl21_61 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f546,plain,
( spl21_61
<=> ! [X2] :
( ~ r1(sK13,X2)
| ~ r1(X2,sK15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_61])]) ).
fof(f553,plain,
~ spl21_23,
inference(avatar_contradiction_clause,[],[f552]) ).
fof(f552,plain,
( $false
| ~ spl21_23 ),
inference(subsumption_resolution,[],[f550,f71]) ).
fof(f71,plain,
~ p1(sK18),
inference(cnf_transformation,[],[f41]) ).
fof(f550,plain,
( p1(sK18)
| ~ spl21_23 ),
inference(resolution,[],[f219,f72]) ).
fof(f72,plain,
r1(sK14,sK18),
inference(cnf_transformation,[],[f41]) ).
fof(f219,plain,
( ! [X1] :
( ~ r1(sK14,X1)
| p1(X1) )
| ~ spl21_23 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f218,plain,
( spl21_23
<=> ! [X1] :
( p1(X1)
| ~ r1(sK14,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_23])]) ).
fof(f548,plain,
( spl21_61
| spl21_7
| ~ spl21_8 ),
inference(avatar_split_clause,[],[f544,f126,f123,f546]) ).
fof(f123,plain,
( spl21_7
<=> ! [X2,X3] :
( ~ r1(sK15,X3)
| ~ r1(X3,X2)
| p1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_7])]) ).
fof(f126,plain,
( spl21_8
<=> r1(sK15,sK19(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_8])]) ).
fof(f544,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK13,X2)
| p1(X1)
| ~ r1(X2,sK15)
| ~ r1(sK15,X0) )
| ~ spl21_8 ),
inference(resolution,[],[f543,f69]) ).
fof(f69,plain,
! [X10,X11,X8,X9] :
( ~ p1(sK19(X9))
| ~ r1(X10,X11)
| ~ r1(sK13,X8)
| p1(X11)
| ~ r1(X9,X10)
| ~ r1(X8,X9) ),
inference(cnf_transformation,[],[f41]) ).
fof(f543,plain,
( p1(sK19(sK15))
| ~ spl21_8 ),
inference(resolution,[],[f128,f78]) ).
fof(f128,plain,
( r1(sK15,sK19(sK15))
| ~ spl21_8 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f542,plain,
( ~ spl21_4
| ~ spl21_22
| spl21_54
| ~ spl21_55 ),
inference(avatar_contradiction_clause,[],[f541]) ).
fof(f541,plain,
( $false
| ~ spl21_4
| ~ spl21_22
| spl21_54
| ~ spl21_55 ),
inference(subsumption_resolution,[],[f540,f216]) ).
fof(f216,plain,
( sP1(sK14)
| ~ spl21_22 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f214,plain,
( spl21_22
<=> sP1(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_22])]) ).
fof(f540,plain,
( ~ sP1(sK14)
| ~ spl21_4
| ~ spl21_22
| spl21_54
| ~ spl21_55 ),
inference(subsumption_resolution,[],[f539,f318]) ).
fof(f318,plain,
( r1(sK14,sK8(sK14))
| ~ spl21_22 ),
inference(resolution,[],[f216,f58]) ).
fof(f58,plain,
! [X0] :
( ~ sP1(X0)
| r1(X0,sK8(X0)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ( r1(X0,sK8(X0))
& r1(sK8(X0),sK9(X0))
& ~ p1(sK9(X0))
& ! [X3] :
( ~ r1(sK8(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| ~ p1(X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) ) )
| ( p1(X3)
& r1(X3,sK10(X3))
& ~ p1(sK10(X3)) ) )
& p1(sK8(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f22,f25,f24,f23]) ).
fof(f23,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ~ p1(X2) )
& ! [X3] :
( ~ r1(X1,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ~ p1(X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) ) )
| ( p1(X3)
& ? [X6] :
( r1(X3,X6)
& ~ p1(X6) ) ) )
& p1(X1) )
=> ( r1(X0,sK8(X0))
& ? [X2] :
( r1(sK8(X0),X2)
& ~ p1(X2) )
& ! [X3] :
( ~ r1(sK8(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| ~ p1(X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) ) )
| ( p1(X3)
& ? [X6] :
( r1(X3,X6)
& ~ p1(X6) ) ) )
& p1(sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
( ? [X2] :
( r1(sK8(X0),X2)
& ~ p1(X2) )
=> ( r1(sK8(X0),sK9(X0))
& ~ p1(sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X3] :
( ? [X6] :
( r1(X3,X6)
& ~ p1(X6) )
=> ( r1(X3,sK10(X3))
& ~ p1(sK10(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ~ p1(X2) )
& ! [X3] :
( ~ r1(X1,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ~ p1(X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) ) )
| ( p1(X3)
& ? [X6] :
( r1(X3,X6)
& ~ p1(X6) ) ) )
& p1(X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X1] :
( ? [X3] :
( r1(X1,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p1(X4) )
& ! [X5] :
( ~ r1(X3,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ~ p1(X6)
| ! [X7] :
( ~ r1(X6,X7)
| p1(X7) ) )
| ( p1(X5)
& ? [X8] :
( r1(X5,X8)
& ~ p1(X8) ) ) )
& p1(X3) )
| ~ sP1(X1) ),
inference(nnf_transformation,[],[f7]) ).
fof(f539,plain,
( ~ r1(sK14,sK8(sK14))
| ~ sP1(sK14)
| ~ spl21_4
| ~ spl21_22
| spl21_54
| ~ spl21_55 ),
inference(resolution,[],[f537,f57]) ).
fof(f57,plain,
! [X0] :
( r1(sK8(X0),sK9(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f537,plain,
( ! [X0] :
( ~ r1(X0,sK9(sK14))
| ~ r1(sK14,X0) )
| ~ spl21_4
| ~ spl21_22
| spl21_54
| ~ spl21_55 ),
inference(resolution,[],[f536,f101]) ).
fof(f101,plain,
( sP0(sK14)
| ~ spl21_4 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl21_4
<=> sP0(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_4])]) ).
fof(f536,plain,
( ! [X0,X1] :
( ~ sP0(X0)
| ~ r1(X0,X1)
| ~ r1(X1,sK9(sK14)) )
| ~ spl21_4
| ~ spl21_22
| spl21_54
| ~ spl21_55 ),
inference(subsumption_resolution,[],[f535,f469]) ).
fof(f469,plain,
( ~ p1(sK9(sK14))
| spl21_54 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f468,plain,
( spl21_54
<=> p1(sK9(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_54])]) ).
fof(f535,plain,
( ! [X0,X1] :
( ~ sP0(X0)
| ~ r1(X0,X1)
| p1(sK9(sK14))
| ~ r1(X1,sK9(sK14)) )
| ~ spl21_4
| ~ spl21_22
| spl21_54
| ~ spl21_55 ),
inference(resolution,[],[f532,f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ p1(sK12(X2))
| ~ sP0(X0)
| ~ r1(X0,X1)
| p1(X2)
| ~ r1(X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ( r1(sK11(X2),sK12(X2))
& ~ p1(sK12(X2))
& p1(sK11(X2))
& r1(X2,sK11(X2)) ) ) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f28,f30,f29]) ).
fof(f29,plain,
! [X2] :
( ? [X3] :
( ? [X4] :
( r1(X3,X4)
& ~ p1(X4) )
& p1(X3)
& r1(X2,X3) )
=> ( ? [X4] :
( r1(sK11(X2),X4)
& ~ p1(X4) )
& p1(sK11(X2))
& r1(X2,sK11(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X2] :
( ? [X4] :
( r1(sK11(X2),X4)
& ~ p1(X4) )
=> ( r1(sK11(X2),sK12(X2))
& ~ p1(sK12(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ? [X3] :
( ? [X4] :
( r1(X3,X4)
& ~ p1(X4) )
& p1(X3)
& r1(X2,X3) ) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1] :
( ! [X21] :
( ~ r1(X1,X21)
| ! [X22] :
( ~ r1(X21,X22)
| p1(X22)
| ? [X23] :
( ? [X24] :
( r1(X23,X24)
& ~ p1(X24) )
& p1(X23)
& r1(X22,X23) ) ) )
| ~ sP0(X1) ),
inference(nnf_transformation,[],[f6]) ).
fof(f532,plain,
( p1(sK12(sK9(sK14)))
| ~ spl21_4
| ~ spl21_22
| spl21_54
| ~ spl21_55 ),
inference(resolution,[],[f528,f523]) ).
fof(f523,plain,
( r1(sK11(sK9(sK14)),sK12(sK9(sK14)))
| ~ spl21_4
| ~ spl21_22
| spl21_54 ),
inference(subsumption_resolution,[],[f522,f469]) ).
fof(f522,plain,
( r1(sK11(sK9(sK14)),sK12(sK9(sK14)))
| p1(sK9(sK14))
| ~ spl21_4
| ~ spl21_22 ),
inference(subsumption_resolution,[],[f519,f216]) ).
fof(f519,plain,
( ~ sP1(sK14)
| r1(sK11(sK9(sK14)),sK12(sK9(sK14)))
| p1(sK9(sK14))
| ~ spl21_4
| ~ spl21_22 ),
inference(resolution,[],[f394,f57]) ).
fof(f394,plain,
( ! [X0] :
( ~ r1(sK8(sK14),X0)
| p1(X0)
| r1(sK11(X0),sK12(X0)) )
| ~ spl21_4
| ~ spl21_22 ),
inference(resolution,[],[f272,f318]) ).
fof(f272,plain,
( ! [X0,X1] :
( ~ r1(sK14,X0)
| r1(sK11(X1),sK12(X1))
| ~ r1(X0,X1)
| p1(X1) )
| ~ spl21_4 ),
inference(resolution,[],[f101,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| ~ r1(X0,X1)
| p1(X2)
| ~ r1(X1,X2)
| r1(sK11(X2),sK12(X2)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f528,plain,
( ! [X0] :
( ~ r1(sK11(sK9(sK14)),X0)
| p1(X0) )
| ~ spl21_4
| ~ spl21_22
| spl21_54
| ~ spl21_55 ),
inference(subsumption_resolution,[],[f526,f503]) ).
fof(f503,plain,
( p1(sK11(sK9(sK14)))
| ~ spl21_4
| ~ spl21_22
| spl21_54 ),
inference(subsumption_resolution,[],[f502,f469]) ).
fof(f502,plain,
( p1(sK11(sK9(sK14)))
| p1(sK9(sK14))
| ~ spl21_4
| ~ spl21_22 ),
inference(subsumption_resolution,[],[f499,f216]) ).
fof(f499,plain,
( ~ sP1(sK14)
| p1(sK11(sK9(sK14)))
| p1(sK9(sK14))
| ~ spl21_4
| ~ spl21_22 ),
inference(resolution,[],[f359,f57]) ).
fof(f359,plain,
( ! [X0] :
( ~ r1(sK8(sK14),X0)
| p1(sK11(X0))
| p1(X0) )
| ~ spl21_4
| ~ spl21_22 ),
inference(resolution,[],[f274,f318]) ).
fof(f274,plain,
( ! [X4,X5] :
( ~ r1(sK14,X4)
| p1(sK11(X5))
| ~ r1(X4,X5)
| p1(X5) )
| ~ spl21_4 ),
inference(resolution,[],[f101,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| ~ r1(X1,X2)
| p1(X2)
| p1(sK11(X2))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f526,plain,
( ! [X0] :
( p1(X0)
| ~ p1(sK11(sK9(sK14)))
| ~ r1(sK11(sK9(sK14)),X0) )
| ~ spl21_4
| ~ spl21_22
| spl21_54
| ~ spl21_55 ),
inference(resolution,[],[f513,f473]) ).
fof(f473,plain,
( ! [X0,X1] :
( ~ r1(sK9(sK14),X0)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1) )
| ~ spl21_55 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f472,plain,
( spl21_55
<=> ! [X0,X1] :
( ~ p1(X0)
| ~ r1(X0,X1)
| ~ r1(sK9(sK14),X0)
| p1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_55])]) ).
fof(f513,plain,
( r1(sK9(sK14),sK11(sK9(sK14)))
| ~ spl21_4
| ~ spl21_22
| spl21_54 ),
inference(subsumption_resolution,[],[f512,f216]) ).
fof(f512,plain,
( r1(sK9(sK14),sK11(sK9(sK14)))
| ~ sP1(sK14)
| ~ spl21_4
| ~ spl21_22
| spl21_54 ),
inference(subsumption_resolution,[],[f509,f469]) ).
fof(f509,plain,
( p1(sK9(sK14))
| r1(sK9(sK14),sK11(sK9(sK14)))
| ~ sP1(sK14)
| ~ spl21_4
| ~ spl21_22 ),
inference(resolution,[],[f376,f57]) ).
fof(f376,plain,
( ! [X0] :
( ~ r1(sK8(sK14),X0)
| r1(X0,sK11(X0))
| p1(X0) )
| ~ spl21_4
| ~ spl21_22 ),
inference(resolution,[],[f273,f318]) ).
fof(f273,plain,
( ! [X2,X3] :
( ~ r1(sK14,X3)
| r1(X2,sK11(X2))
| ~ r1(X3,X2)
| p1(X2) )
| ~ spl21_4 ),
inference(resolution,[],[f101,f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| r1(X2,sK11(X2))
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p1(X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f494,plain,
( ~ spl21_22
| ~ spl21_54 ),
inference(avatar_contradiction_clause,[],[f493]) ).
fof(f493,plain,
( $false
| ~ spl21_22
| ~ spl21_54 ),
inference(subsumption_resolution,[],[f492,f216]) ).
fof(f492,plain,
( ~ sP1(sK14)
| ~ spl21_54 ),
inference(resolution,[],[f470,f56]) ).
fof(f56,plain,
! [X0] :
( ~ p1(sK9(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f470,plain,
( p1(sK9(sK14))
| ~ spl21_54 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f474,plain,
( spl21_54
| spl21_55
| ~ spl21_22 ),
inference(avatar_split_clause,[],[f466,f214,f472,f468]) ).
fof(f466,plain,
( ! [X0,X1] :
( ~ p1(X0)
| p1(X1)
| ~ r1(sK9(sK14),X0)
| ~ r1(X0,X1)
| p1(sK9(sK14)) )
| ~ spl21_22 ),
inference(subsumption_resolution,[],[f455,f216]) ).
fof(f455,plain,
( ! [X0,X1] :
( p1(sK9(sK14))
| ~ r1(X0,X1)
| p1(X1)
| ~ p1(X0)
| ~ sP1(sK14)
| ~ r1(sK9(sK14),X0) )
| ~ spl21_22 ),
inference(resolution,[],[f317,f57]) ).
fof(f317,plain,
( ! [X3,X4,X5] :
( ~ r1(sK8(sK14),X5)
| ~ r1(X3,X4)
| p1(X4)
| p1(X5)
| ~ p1(X3)
| ~ r1(X5,X3) )
| ~ spl21_22 ),
inference(resolution,[],[f216,f55]) ).
fof(f55,plain,
! [X3,X0,X4,X5] :
( ~ sP1(X0)
| ~ r1(X4,X5)
| p1(X3)
| ~ r1(X3,X4)
| p1(X5)
| ~ p1(X4)
| ~ r1(sK8(X0),X3) ),
inference(cnf_transformation,[],[f26]) ).
fof(f315,plain,
( spl21_22
| spl21_23
| ~ spl21_7
| ~ spl21_21
| ~ spl21_32
| ~ spl21_33 ),
inference(avatar_split_clause,[],[f314,f294,f289,f200,f123,f218,f214]) ).
fof(f289,plain,
( spl21_32
<=> ! [X1] :
( ~ r1(sK14,X1)
| r1(sK4(X1),sK5(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_32])]) ).
fof(f294,plain,
( spl21_33
<=> ! [X0] :
( ~ r1(sK14,X0)
| r1(X0,sK4(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_33])]) ).
fof(f314,plain,
( ! [X0] :
( ~ r1(sK14,X0)
| p1(X0)
| sP1(sK14) )
| ~ spl21_7
| ~ spl21_21
| ~ spl21_32
| ~ spl21_33 ),
inference(subsumption_resolution,[],[f313,f77]) ).
fof(f313,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK14,X0)
| ~ r1(sK14,sK15)
| sP1(sK14) )
| ~ spl21_7
| ~ spl21_21
| ~ spl21_32
| ~ spl21_33 ),
inference(subsumption_resolution,[],[f312,f202]) ).
fof(f202,plain,
( p1(sK14)
| ~ spl21_21 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f312,plain,
( ! [X0] :
( ~ p1(sK14)
| ~ r1(sK14,X0)
| p1(X0)
| ~ r1(sK14,sK15)
| sP1(sK14) )
| ~ spl21_7
| ~ spl21_32
| ~ spl21_33 ),
inference(resolution,[],[f311,f79]) ).
fof(f79,plain,
sP3(sK14),
inference(resolution,[],[f66,f70]) ).
fof(f66,plain,
! [X8] :
( ~ r1(sK13,X8)
| sP3(X8) ),
inference(cnf_transformation,[],[f41]) ).
fof(f311,plain,
( ! [X0,X1] :
( ~ sP3(X0)
| ~ p1(X0)
| sP1(X0)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(X0,sK15) )
| ~ spl21_7
| ~ spl21_32
| ~ spl21_33 ),
inference(resolution,[],[f310,f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ p1(sK5(X2))
| ~ r1(X0,X2)
| sP1(X0)
| ~ p1(X0)
| ~ sP3(X0)
| ~ r1(X0,X1)
| p1(X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] :
( sP1(X0)
| ~ p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ! [X2] :
( ~ r1(X0,X2)
| ( r1(X2,sK4(X2))
& ~ p1(sK5(X2))
& r1(sK4(X2),sK5(X2))
& p1(sK4(X2)) ) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f12,f14,f13]) ).
fof(f13,plain,
! [X2] :
( ? [X3] :
( r1(X2,X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& p1(X3) )
=> ( r1(X2,sK4(X2))
& ? [X4] :
( ~ p1(X4)
& r1(sK4(X2),X4) )
& p1(sK4(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X2] :
( ? [X4] :
( ~ p1(X4)
& r1(sK4(X2),X4) )
=> ( ~ p1(sK5(X2))
& r1(sK4(X2),sK5(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
! [X0] :
( sP1(X0)
| ~ p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ! [X2] :
( ~ r1(X0,X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& p1(X3) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
! [X1] :
( sP1(X1)
| ~ p1(X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
| ! [X9] :
( ~ r1(X1,X9)
| ? [X10] :
( r1(X9,X10)
& ? [X11] :
( ~ p1(X11)
& r1(X10,X11) )
& p1(X10) ) )
| ~ sP3(X1) ),
inference(nnf_transformation,[],[f9]) ).
fof(f310,plain,
( p1(sK5(sK15))
| ~ spl21_7
| ~ spl21_32
| ~ spl21_33 ),
inference(resolution,[],[f307,f304]) ).
fof(f304,plain,
( ! [X0] :
( ~ r1(sK4(sK15),X0)
| p1(X0) )
| ~ spl21_7
| ~ spl21_33 ),
inference(resolution,[],[f301,f124]) ).
fof(f124,plain,
( ! [X2,X3] :
( ~ r1(sK15,X3)
| ~ r1(X3,X2)
| p1(X2) )
| ~ spl21_7 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f301,plain,
( r1(sK15,sK4(sK15))
| ~ spl21_33 ),
inference(resolution,[],[f295,f77]) ).
fof(f295,plain,
( ! [X0] :
( ~ r1(sK14,X0)
| r1(X0,sK4(X0)) )
| ~ spl21_33 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f307,plain,
( r1(sK4(sK15),sK5(sK15))
| ~ spl21_32 ),
inference(resolution,[],[f290,f77]) ).
fof(f290,plain,
( ! [X1] :
( ~ r1(sK14,X1)
| r1(sK4(X1),sK5(X1)) )
| ~ spl21_32 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f296,plain,
( spl21_23
| spl21_22
| spl21_33
| ~ spl21_21 ),
inference(avatar_split_clause,[],[f292,f200,f294,f214,f218]) ).
fof(f292,plain,
( ! [X0,X1] :
( ~ r1(sK14,X0)
| sP1(sK14)
| ~ r1(sK14,X1)
| r1(X0,sK4(X0))
| p1(X1) )
| ~ spl21_21 ),
inference(subsumption_resolution,[],[f224,f202]) ).
fof(f224,plain,
! [X0,X1] :
( p1(X1)
| ~ p1(sK14)
| sP1(sK14)
| ~ r1(sK14,X1)
| r1(X0,sK4(X0))
| ~ r1(sK14,X0) ),
inference(resolution,[],[f45,f79]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| ~ r1(X0,X2)
| ~ r1(X0,X1)
| ~ p1(X0)
| sP1(X0)
| r1(X2,sK4(X2))
| p1(X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f291,plain,
( spl21_32
| spl21_22
| spl21_23
| ~ spl21_21 ),
inference(avatar_split_clause,[],[f287,f200,f218,f214,f289]) ).
fof(f287,plain,
( ! [X0,X1] :
( ~ r1(sK14,X0)
| p1(X0)
| sP1(sK14)
| ~ r1(sK14,X1)
| r1(sK4(X1),sK5(X1)) )
| ~ spl21_21 ),
inference(subsumption_resolution,[],[f225,f202]) ).
fof(f225,plain,
! [X0,X1] :
( r1(sK4(X1),sK5(X1))
| ~ r1(sK14,X0)
| ~ r1(sK14,X1)
| p1(X0)
| sP1(sK14)
| ~ p1(sK14) ),
inference(resolution,[],[f43,f79]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| sP1(X0)
| p1(X1)
| ~ r1(X0,X1)
| r1(sK4(X2),sK5(X2))
| ~ p1(X0)
| ~ r1(X0,X2) ),
inference(cnf_transformation,[],[f15]) ).
fof(f286,plain,
( spl21_19
| ~ spl21_20
| spl21_21 ),
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f285,plain,
( $false
| spl21_19
| ~ spl21_20
| spl21_21 ),
inference(subsumption_resolution,[],[f284,f77]) ).
fof(f284,plain,
( ~ r1(sK14,sK15)
| spl21_19
| ~ spl21_20
| spl21_21 ),
inference(subsumption_resolution,[],[f283,f194]) ).
fof(f194,plain,
( ~ r1(sK14,sK7(sK14))
| spl21_19 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f283,plain,
( r1(sK14,sK7(sK14))
| ~ r1(sK14,sK15)
| ~ spl21_20
| spl21_21 ),
inference(subsumption_resolution,[],[f282,f201]) ).
fof(f282,plain,
( ~ r1(sK14,sK15)
| p1(sK14)
| r1(sK14,sK7(sK14))
| ~ spl21_20 ),
inference(resolution,[],[f281,f80]) ).
fof(f281,plain,
( ! [X3] :
( ~ sP2(X3)
| ~ r1(X3,sK15)
| p1(X3)
| r1(X3,sK7(X3)) )
| ~ spl21_20 ),
inference(resolution,[],[f279,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ p1(sK6(X1))
| ~ sP2(X0)
| ~ r1(X0,X1)
| p1(X0)
| r1(X0,sK7(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f265,plain,
( ~ spl21_3
| spl21_4
| spl21_11
| ~ spl21_12
| ~ spl21_15
| ~ spl21_16 ),
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| ~ spl21_3
| spl21_4
| spl21_11
| ~ spl21_12
| ~ spl21_15
| ~ spl21_16 ),
inference(subsumption_resolution,[],[f263,f144]) ).
fof(f144,plain,
( ~ p1(sK20(sK14))
| spl21_11 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl21_11
<=> p1(sK20(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_11])]) ).
fof(f263,plain,
( p1(sK20(sK14))
| ~ spl21_3
| spl21_4
| ~ spl21_12
| ~ spl21_15
| ~ spl21_16 ),
inference(subsumption_resolution,[],[f262,f97]) ).
fof(f97,plain,
( r1(sK14,sK20(sK14))
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl21_3
<=> r1(sK14,sK20(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
fof(f262,plain,
( ~ r1(sK14,sK20(sK14))
| p1(sK20(sK14))
| spl21_4
| ~ spl21_12
| ~ spl21_15
| ~ spl21_16 ),
inference(resolution,[],[f261,f74]) ).
fof(f261,plain,
( p1(sK17(sK20(sK14)))
| spl21_4
| ~ spl21_12
| ~ spl21_15
| ~ spl21_16 ),
inference(resolution,[],[f149,f260]) ).
fof(f260,plain,
( ! [X0] :
( ~ r1(sK16(sK20(sK14)),X0)
| p1(X0) )
| spl21_4
| ~ spl21_15
| ~ spl21_16 ),
inference(subsumption_resolution,[],[f259,f167]) ).
fof(f167,plain,
( p1(sK16(sK20(sK14)))
| ~ spl21_16 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl21_16
<=> p1(sK16(sK20(sK14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_16])]) ).
fof(f259,plain,
( ! [X0] :
( ~ p1(sK16(sK20(sK14)))
| ~ r1(sK16(sK20(sK14)),X0)
| p1(X0) )
| spl21_4
| ~ spl21_15 ),
inference(subsumption_resolution,[],[f258,f70]) ).
fof(f258,plain,
( ! [X0] :
( ~ r1(sK16(sK20(sK14)),X0)
| ~ r1(sK13,sK14)
| p1(X0)
| ~ p1(sK16(sK20(sK14))) )
| spl21_4
| ~ spl21_15 ),
inference(subsumption_resolution,[],[f257,f100]) ).
fof(f100,plain,
( ~ sP0(sK14)
| spl21_4 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f257,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK13,sK14)
| ~ p1(sK16(sK20(sK14)))
| sP0(sK14)
| ~ r1(sK16(sK20(sK14)),X0) )
| ~ spl21_15 ),
inference(resolution,[],[f162,f64]) ).
fof(f64,plain,
! [X8,X14,X15] :
( ~ r1(sK20(X8),X14)
| ~ p1(X14)
| p1(X15)
| sP0(X8)
| ~ r1(sK13,X8)
| ~ r1(X14,X15) ),
inference(cnf_transformation,[],[f41]) ).
fof(f162,plain,
( r1(sK20(sK14),sK16(sK20(sK14)))
| ~ spl21_15 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl21_15
<=> r1(sK20(sK14),sK16(sK20(sK14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_15])]) ).
fof(f149,plain,
( r1(sK16(sK20(sK14)),sK17(sK20(sK14)))
| ~ spl21_12 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl21_12
<=> r1(sK16(sK20(sK14)),sK17(sK20(sK14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_12])]) ).
fof(f256,plain,
( spl21_25
| spl21_30
| ~ spl21_19 ),
inference(avatar_split_clause,[],[f229,f193,f253,f231]) ).
fof(f229,plain,
( p1(sK16(sK7(sK14)))
| p1(sK7(sK14))
| ~ spl21_19 ),
inference(resolution,[],[f195,f76]) ).
fof(f76,plain,
! [X4] :
( ~ r1(sK14,X4)
| p1(sK16(X4))
| p1(X4) ),
inference(cnf_transformation,[],[f41]) ).
fof(f251,plain,
( spl21_29
| spl21_25
| ~ spl21_19 ),
inference(avatar_split_clause,[],[f227,f193,f231,f248]) ).
fof(f227,plain,
( p1(sK7(sK14))
| r1(sK16(sK7(sK14)),sK17(sK7(sK14)))
| ~ spl21_19 ),
inference(resolution,[],[f195,f75]) ).
fof(f75,plain,
! [X4] :
( ~ r1(sK14,X4)
| r1(sK16(X4),sK17(X4))
| p1(X4) ),
inference(cnf_transformation,[],[f41]) ).
fof(f238,plain,
( spl21_25
| spl21_26
| ~ spl21_19 ),
inference(avatar_split_clause,[],[f228,f193,f235,f231]) ).
fof(f228,plain,
( r1(sK7(sK14),sK16(sK7(sK14)))
| p1(sK7(sK14))
| ~ spl21_19 ),
inference(resolution,[],[f195,f73]) ).
fof(f73,plain,
! [X4] :
( ~ r1(sK14,X4)
| r1(X4,sK16(X4))
| p1(X4) ),
inference(cnf_transformation,[],[f41]) ).
fof(f207,plain,
( spl21_4
| ~ spl21_11 ),
inference(avatar_contradiction_clause,[],[f206]) ).
fof(f206,plain,
( $false
| spl21_4
| ~ spl21_11 ),
inference(subsumption_resolution,[],[f205,f100]) ).
fof(f205,plain,
( sP0(sK14)
| ~ spl21_11 ),
inference(subsumption_resolution,[],[f204,f70]) ).
fof(f204,plain,
( ~ r1(sK13,sK14)
| sP0(sK14)
| ~ spl21_11 ),
inference(resolution,[],[f145,f63]) ).
fof(f63,plain,
! [X8] :
( ~ p1(sK20(X8))
| ~ r1(sK13,X8)
| sP0(X8) ),
inference(cnf_transformation,[],[f41]) ).
fof(f145,plain,
( p1(sK20(sK14))
| ~ spl21_11 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f203,plain,
( spl21_19
| spl21_20
| spl21_21 ),
inference(avatar_split_clause,[],[f191,f200,f197,f193]) ).
fof(f191,plain,
! [X0] :
( p1(sK14)
| ~ r1(sK14,X0)
| r1(sK14,sK7(sK14))
| r1(X0,sK6(X0)) ),
inference(resolution,[],[f47,f80]) ).
fof(f47,plain,
! [X0,X1] :
( ~ sP2(X0)
| p1(X0)
| ~ r1(X0,X1)
| r1(X0,sK7(X0))
| r1(X1,sK6(X1)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f168,plain,
( spl21_16
| spl21_11
| ~ spl21_3 ),
inference(avatar_split_clause,[],[f141,f95,f143,f165]) ).
fof(f141,plain,
( p1(sK20(sK14))
| p1(sK16(sK20(sK14)))
| ~ spl21_3 ),
inference(resolution,[],[f97,f76]) ).
fof(f163,plain,
( spl21_15
| spl21_11
| ~ spl21_3 ),
inference(avatar_split_clause,[],[f140,f95,f143,f160]) ).
fof(f140,plain,
( p1(sK20(sK14))
| r1(sK20(sK14),sK16(sK20(sK14)))
| ~ spl21_3 ),
inference(resolution,[],[f97,f73]) ).
fof(f150,plain,
( spl21_11
| spl21_12
| ~ spl21_3 ),
inference(avatar_split_clause,[],[f139,f95,f147,f143]) ).
fof(f139,plain,
( r1(sK16(sK20(sK14)),sK17(sK20(sK14)))
| p1(sK20(sK14))
| ~ spl21_3 ),
inference(resolution,[],[f97,f75]) ).
fof(f129,plain,
( spl21_7
| spl21_8 ),
inference(avatar_split_clause,[],[f121,f126,f123]) ).
fof(f121,plain,
! [X2,X3] :
( r1(sK15,sK19(sK15))
| ~ r1(sK15,X3)
| p1(X2)
| ~ r1(X3,X2) ),
inference(resolution,[],[f119,f77]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ r1(sK14,X0)
| p1(X2)
| ~ r1(X0,X1)
| r1(X0,sK19(X0))
| ~ r1(X1,X2) ),
inference(resolution,[],[f68,f70]) ).
fof(f68,plain,
! [X10,X11,X8,X9] :
( ~ r1(sK13,X8)
| ~ r1(X8,X9)
| r1(X9,sK19(X9))
| ~ r1(X9,X10)
| p1(X11)
| ~ r1(X10,X11) ),
inference(cnf_transformation,[],[f41]) ).
fof(f102,plain,
( spl21_3
| spl21_4 ),
inference(avatar_split_clause,[],[f93,f99,f95]) ).
fof(f93,plain,
( sP0(sK14)
| r1(sK14,sK20(sK14)) ),
inference(resolution,[],[f65,f70]) ).
fof(f65,plain,
! [X8] :
( ~ r1(sK13,X8)
| sP0(X8)
| r1(X8,sK20(X8)) ),
inference(cnf_transformation,[],[f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LCL640+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 02:15:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (11418)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (11410)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (11410)Refutation not found, incomplete strategy% (11410)------------------------------
% 0.20/0.54 % (11410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (11410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (11410)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (11410)Memory used [KB]: 5500
% 0.20/0.54 % (11410)Time elapsed: 0.101 s
% 0.20/0.54 % (11410)Instructions burned: 4 (million)
% 0.20/0.54 % (11410)------------------------------
% 0.20/0.54 % (11410)------------------------------
% 0.20/0.58 % (11438)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.58 % (11418)Instruction limit reached!
% 0.20/0.58 % (11418)------------------------------
% 0.20/0.58 % (11418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (11418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (11418)Termination reason: Unknown
% 0.20/0.58 % (11418)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (11418)Memory used [KB]: 1535
% 0.20/0.58 % (11418)Time elapsed: 0.140 s
% 0.20/0.58 % (11418)Instructions burned: 51 (million)
% 0.20/0.58 % (11418)------------------------------
% 0.20/0.58 % (11418)------------------------------
% 0.20/0.59 % (11430)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.59 % (11415)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59 % (11419)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.59 % (11412)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59 % (11414)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.59 TRYING [1]
% 0.20/0.60 % (11422)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.60 % (11432)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.61 % (11424)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.61 % (11431)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.62 TRYING [2]
% 0.20/0.62 TRYING [3]
% 0.20/0.62 TRYING [4]
% 0.20/0.62 % (11413)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.63 % (11423)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.63 % (11411)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.89/0.63 % (11428)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.89/0.63 % (11416)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.89/0.64 % (11416)Instruction limit reached!
% 1.89/0.64 % (11416)------------------------------
% 1.89/0.64 % (11416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.64 % (11416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.64 % (11416)Termination reason: Unknown
% 1.89/0.64 % (11416)Termination phase: Saturation
% 1.89/0.64
% 1.89/0.64 % (11416)Memory used [KB]: 5628
% 1.89/0.64 % (11416)Time elapsed: 0.170 s
% 1.89/0.64 % (11416)Instructions burned: 7 (million)
% 1.89/0.64 % (11416)------------------------------
% 1.89/0.64 % (11416)------------------------------
% 1.89/0.64 % (11427)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.89/0.64 % (11429)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.89/0.64 % (11434)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.89/0.64 % (11420)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.89/0.64 % (11436)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.89/0.64 % (11437)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.89/0.64 % (11421)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.89/0.64 % (11433)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.23/0.65 % (11417)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.23/0.65 % (11417)Instruction limit reached!
% 2.23/0.65 % (11417)------------------------------
% 2.23/0.65 % (11417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.65 % (11417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65 % (11417)Termination reason: Unknown
% 2.23/0.65 % (11417)Termination phase: Preprocessing 3
% 2.23/0.65
% 2.23/0.65 % (11417)Memory used [KB]: 895
% 2.23/0.65 % (11417)Time elapsed: 0.004 s
% 2.23/0.65 % (11417)Instructions burned: 2 (million)
% 2.23/0.65 % (11417)------------------------------
% 2.23/0.65 % (11417)------------------------------
% 2.23/0.65 TRYING [5]
% 2.23/0.65 % (11432)First to succeed.
% 2.23/0.66 % (11471)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.23/0.67 % (11435)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.23/0.67 % (11426)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.23/0.67 % (11409)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 2.23/0.68 % (11425)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.23/0.68 % (11415)Instruction limit reached!
% 2.23/0.68 % (11415)------------------------------
% 2.23/0.68 % (11415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.68 % (11415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.68 % (11415)Termination reason: Unknown
% 2.23/0.68 % (11415)Termination phase: Finite model building SAT solving
% 2.23/0.68
% 2.23/0.68 % (11415)Memory used [KB]: 6524
% 2.23/0.68 % (11415)Time elapsed: 0.233 s
% 2.23/0.68 % (11415)Instructions burned: 53 (million)
% 2.23/0.68 % (11415)------------------------------
% 2.23/0.68 % (11415)------------------------------
% 2.23/0.68 % (11432)Refutation found. Thanks to Tanya!
% 2.23/0.68 % SZS status Theorem for theBenchmark
% 2.23/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.23/0.68 % (11432)------------------------------
% 2.23/0.68 % (11432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.68 % (11432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.68 % (11432)Termination reason: Refutation
% 2.23/0.68
% 2.23/0.68 % (11432)Memory used [KB]: 5884
% 2.23/0.68 % (11432)Time elapsed: 0.201 s
% 2.23/0.68 % (11432)Instructions burned: 15 (million)
% 2.23/0.68 % (11432)------------------------------
% 2.23/0.68 % (11432)------------------------------
% 2.23/0.68 % (11408)Success in time 0.316 s
%------------------------------------------------------------------------------