TSTP Solution File: LCL658+1.001 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL658+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n023.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 : Fri Sep 1 18:17:19 EDT 2023
% Result : Theorem 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 49
% Syntax : Number of formulae : 253 ( 11 unt; 0 def)
% Number of atoms : 1423 ( 0 equ)
% Maximal formula atoms : 62 ( 5 avg)
% Number of connectives : 2041 ( 871 ~; 903 |; 228 &)
% ( 22 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 34 ( 33 usr; 23 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-1 aty)
% Number of variables : 510 (; 409 !; 101 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4734,plain,
$false,
inference(avatar_sat_refutation,[],[f135,f258,f266,f331,f395,f455,f975,f986,f987,f1111,f1112,f1126,f1192,f1203,f2352,f4310,f4379,f4461,f4466,f4487,f4603,f4697,f4733]) ).
fof(f4733,plain,
( ~ spl26_3
| spl26_4
| ~ spl26_7
| spl26_8
| ~ spl26_140 ),
inference(avatar_contradiction_clause,[],[f4732]) ).
fof(f4732,plain,
( $false
| ~ spl26_3
| spl26_4
| ~ spl26_7
| spl26_8
| ~ spl26_140 ),
inference(subsumption_resolution,[],[f4731,f130]) ).
fof(f130,plain,
( r1(sK21,sK11(sK21))
| ~ spl26_3 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl26_3
<=> r1(sK21,sK11(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).
fof(f4731,plain,
( ~ r1(sK21,sK11(sK21))
| ~ spl26_3
| spl26_4
| ~ spl26_7
| spl26_8
| ~ spl26_140 ),
inference(subsumption_resolution,[],[f4730,f152]) ).
fof(f152,plain,
( ~ p1(sK11(sK21))
| spl26_8 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl26_8
<=> p1(sK11(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_8])]) ).
fof(f4730,plain,
( p1(sK11(sK21))
| ~ r1(sK21,sK11(sK21))
| ~ spl26_3
| spl26_4
| ~ spl26_7
| spl26_8
| ~ spl26_140 ),
inference(resolution,[],[f4729,f100]) ).
fof(f100,plain,
! [X2] :
( ~ p1(sK23(X2))
| p1(X2)
| ~ r1(sK21,X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ! [X2] :
( ( p1(sK22(X2))
& ~ p1(sK23(X2))
& r1(sK22(X2),sK23(X2))
& r1(X2,sK22(X2)) )
| p1(X2)
| ~ r1(sK21,X2) )
& ! [X6] :
( p1(X6)
| ~ r1(sK24,X6) )
& r1(sK21,sK24)
& ~ p1(sK25)
& r1(sK21,sK25)
& r1(sK20,sK21)
& ! [X8] :
( ( sP6(X8)
& sP8(X8)
& sP7(X8)
& sP5(X8) )
| ~ r1(sK20,X8) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25])],[f16,f60,f59,f58,f57,f56,f55]) ).
fof(f55,plain,
( ? [X0] :
( ? [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
& ? [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& r1(X1,X5) )
& ? [X7] :
( ~ p1(X7)
& r1(X1,X7) )
& r1(X0,X1) )
& ! [X8] :
( ( sP6(X8)
& sP8(X8)
& sP7(X8)
& sP5(X8) )
| ~ r1(X0,X8) ) )
=> ( ? [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
& ? [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& r1(X1,X5) )
& ? [X7] :
( ~ p1(X7)
& r1(X1,X7) )
& r1(sK20,X1) )
& ! [X8] :
( ( sP6(X8)
& sP8(X8)
& sP7(X8)
& sP5(X8) )
| ~ r1(sK20,X8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ? [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
& ? [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& r1(X1,X5) )
& ? [X7] :
( ~ p1(X7)
& r1(X1,X7) )
& r1(sK20,X1) )
=> ( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(sK21,X2) )
& ? [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& r1(sK21,X5) )
& ? [X7] :
( ~ p1(X7)
& r1(sK21,X7) )
& r1(sK20,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p1(sK22(X2))
& ? [X4] :
( ~ p1(X4)
& r1(sK22(X2),X4) )
& r1(X2,sK22(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X2] :
( ? [X4] :
( ~ p1(X4)
& r1(sK22(X2),X4) )
=> ( ~ p1(sK23(X2))
& r1(sK22(X2),sK23(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
( ? [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& r1(sK21,X5) )
=> ( ! [X6] :
( p1(X6)
| ~ r1(sK24,X6) )
& r1(sK21,sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
( ? [X7] :
( ~ p1(X7)
& r1(sK21,X7) )
=> ( ~ p1(sK25)
& r1(sK21,sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
& ? [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& r1(X1,X5) )
& ? [X7] :
( ~ p1(X7)
& r1(X1,X7) )
& r1(X0,X1) )
& ! [X8] :
( ( sP6(X8)
& sP8(X8)
& sP7(X8)
& sP5(X8) )
| ~ r1(X0,X8) ) ),
inference(definition_folding,[],[f6,f15,f14,f13,f12,f11,f10,f9,f8,f7]) ).
fof(f7,plain,
! [X25] :
( ! [X26] :
( ( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) ) )
| ! [X28] :
( ~ p1(X28)
| ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X26,X28) )
| ~ r1(X25,X26) )
| ~ sP0(X25) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,plain,
! [X25] :
( ? [X30] :
( ~ p1(X30)
& r1(X25,X30) )
| ~ sP1(X25) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f9,plain,
! [X8] :
( ! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| ~ r1(X8,X31) )
| ~ sP2(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f10,plain,
! [X8] :
( ? [X20] :
( ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& ~ p1(X20)
& r1(X8,X20) )
| ~ sP3(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f11,plain,
! [X8] :
( ! [X12] :
( ! [X13] :
( ? [X14] :
( p1(X14)
& ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
& r1(X13,X14) )
| p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X8,X12) )
| ~ sP4(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f12,plain,
! [X8] :
( ? [X25] :
( sP0(X25)
& p1(X25)
& sP1(X25)
& r1(X8,X25) )
| sP2(X8)
| ~ p1(X8)
| ! [X34] :
( p1(X34)
| ~ r1(X8,X34) )
| ~ sP5(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f13,plain,
! [X8] :
( ? [X9] :
( ! [X10] :
( ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
& ~ p1(X9)
& r1(X8,X9) )
| sP4(X8)
| ~ sP6(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f14,plain,
! [X8] :
( sP3(X8)
| ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ~ r1(X8,X23) )
| p1(X8)
| ~ sP7(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f15,plain,
! [X8] :
( ! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X16,X18) )
| ~ r1(X8,X16) )
| ~ sP8(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f6,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
& ? [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& r1(X1,X5) )
& ? [X7] :
( ~ p1(X7)
& r1(X1,X7) )
& r1(X0,X1) )
& ! [X8] :
( ( ( ? [X9] :
( ! [X10] :
( ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
& ~ p1(X9)
& r1(X8,X9) )
| ! [X12] :
( ! [X13] :
( ? [X14] :
( p1(X14)
& ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
& r1(X13,X14) )
| p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X8,X12) ) )
& ! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X16,X18) )
| ~ r1(X8,X16) )
& ( ? [X20] :
( ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& ~ p1(X20)
& r1(X8,X20) )
| ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ~ r1(X8,X23) )
| p1(X8) )
& ( ? [X25] :
( ! [X26] :
( ( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) ) )
| ! [X28] :
( ~ p1(X28)
| ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X26,X28) )
| ~ r1(X25,X26) )
& p1(X25)
& ? [X30] :
( ~ p1(X30)
& r1(X25,X30) )
& r1(X8,X25) )
| ! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| ~ r1(X8,X31) )
| ~ p1(X8)
| ! [X34] :
( p1(X34)
| ~ r1(X8,X34) ) ) )
| ~ r1(X0,X8) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p1(X3)
| ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
| ! [X5] :
( ~ ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X1,X5) )
| ! [X7] :
( p1(X7)
| ~ r1(X1,X7) )
| ~ r1(X0,X1) )
| ~ ! [X8] :
( ( ( ~ ! [X9] :
( ~ ! [X10] :
( ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| p1(X9)
| ~ r1(X8,X9) )
| ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p1(X14)
| ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X8,X12) ) )
& ! [X16] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X16,X18) )
| ~ r1(X8,X16) )
& ( ~ ! [X20] :
( ~ ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| p1(X20)
| ~ r1(X8,X20) )
| ! [X23] :
( ~ ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X8,X23) )
| p1(X8) )
& ( ~ ! [X25] :
( ~ ! [X26] :
( ~ ( ~ p1(X26)
| ! [X27] :
( p1(X27)
| ~ r1(X26,X27) ) )
| ! [X28] :
( ~ p1(X28)
| ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X26,X28) )
| ~ r1(X25,X26) )
| ~ p1(X25)
| ! [X30] :
( p1(X30)
| ~ r1(X25,X30) )
| ~ r1(X8,X25) )
| ! [X31] :
( ~ ! [X32] :
( ~ p1(X32)
| ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X8,X31) )
| ~ p1(X8)
| ! [X34] :
( p1(X34)
| ~ r1(X8,X34) ) ) )
| ~ r1(X0,X8) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ~ ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p1(X3)
| ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
| ! [X5] :
( ~ ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X1,X5) )
| ! [X7] :
( p1(X7)
| ~ r1(X1,X7) )
| ~ r1(X0,X1) )
| ~ ! [X8] :
( ( ( ~ ! [X9] :
( ~ ! [X10] :
( ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| p1(X9)
| ~ r1(X8,X9) )
| ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p1(X14)
| ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X8,X12) ) )
& ! [X16] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X16,X18) )
| ~ r1(X8,X16) )
& ( ~ ! [X20] :
( ~ ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| p1(X20)
| ~ r1(X8,X20) )
| ! [X23] :
( ~ ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X8,X23) )
| p1(X8) )
& ( ~ ! [X25] :
( ~ ! [X26] :
( ~ ( ~ p1(X26)
| ! [X27] :
( p1(X27)
| ~ r1(X26,X27) ) )
| ! [X28] :
( ~ p1(X28)
| ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X26,X28) )
| ~ r1(X25,X26) )
| ~ p1(X25)
| ! [X30] :
( p1(X30)
| ~ r1(X25,X30) )
| ~ r1(X8,X25) )
| ! [X31] :
( ~ ! [X32] :
( ~ p1(X32)
| ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X8,X31) )
| ~ p1(X8)
| ! [X34] :
( p1(X34)
| ~ r1(X8,X34) ) ) )
| ~ r1(X0,X8) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ( ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ( ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.VNs1CJsAfu/Vampire---4.8_23927',main) ).
fof(f4729,plain,
( p1(sK23(sK11(sK21)))
| ~ spl26_3
| spl26_4
| ~ spl26_7
| spl26_8
| ~ spl26_140 ),
inference(subsumption_resolution,[],[f4728,f130]) ).
fof(f4728,plain,
( p1(sK23(sK11(sK21)))
| ~ r1(sK21,sK11(sK21))
| spl26_4
| ~ spl26_7
| spl26_8
| ~ spl26_140 ),
inference(subsumption_resolution,[],[f4726,f152]) ).
fof(f4726,plain,
( p1(sK23(sK11(sK21)))
| p1(sK11(sK21))
| ~ r1(sK21,sK11(sK21))
| spl26_4
| ~ spl26_7
| ~ spl26_140 ),
inference(resolution,[],[f4712,f99]) ).
fof(f99,plain,
! [X2] :
( r1(sK22(X2),sK23(X2))
| p1(X2)
| ~ r1(sK21,X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f4712,plain,
( ! [X0] :
( ~ r1(sK22(sK11(sK21)),X0)
| p1(X0) )
| spl26_4
| ~ spl26_7
| ~ spl26_140 ),
inference(subsumption_resolution,[],[f4711,f109]) ).
fof(f109,plain,
sP6(sK21),
inference(resolution,[],[f92,f93]) ).
fof(f93,plain,
r1(sK20,sK21),
inference(cnf_transformation,[],[f61]) ).
fof(f92,plain,
! [X8] :
( ~ r1(sK20,X8)
| sP6(X8) ),
inference(cnf_transformation,[],[f61]) ).
fof(f4711,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK22(sK11(sK21)),X0)
| ~ sP6(sK21) )
| spl26_4
| ~ spl26_7
| ~ spl26_140 ),
inference(subsumption_resolution,[],[f4710,f133]) ).
fof(f133,plain,
( ~ sP4(sK21)
| spl26_4 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl26_4
<=> sP4(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_4])]) ).
fof(f4710,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK22(sK11(sK21)),X0)
| sP4(sK21)
| ~ sP6(sK21) )
| ~ spl26_7
| ~ spl26_140 ),
inference(subsumption_resolution,[],[f4709,f149]) ).
fof(f149,plain,
( p1(sK22(sK11(sK21)))
| ~ spl26_7 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl26_7
<=> p1(sK22(sK11(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).
fof(f4709,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK22(sK11(sK21)),X0)
| ~ p1(sK22(sK11(sK21)))
| sP4(sK21)
| ~ sP6(sK21) )
| ~ spl26_140 ),
inference(resolution,[],[f1110,f68]) ).
fof(f68,plain,
! [X2,X3,X0] :
( ~ r1(sK11(X0),X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ p1(X2)
| sP4(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK11(X0),X2) )
& ~ p1(sK11(X0))
& r1(X0,sK11(X0)) )
| sP4(X0)
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f26,f27]) ).
fof(f27,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK11(X0),X2) )
& ~ p1(sK11(X0))
& r1(X0,sK11(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
| sP4(X0)
| ~ sP6(X0) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X8] :
( ? [X9] :
( ! [X10] :
( ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
& ~ p1(X9)
& r1(X8,X9) )
| sP4(X8)
| ~ sP6(X8) ),
inference(nnf_transformation,[],[f13]) ).
fof(f1110,plain,
( r1(sK11(sK21),sK22(sK11(sK21)))
| ~ spl26_140 ),
inference(avatar_component_clause,[],[f1108]) ).
fof(f1108,plain,
( spl26_140
<=> r1(sK11(sK21),sK22(sK11(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_140])]) ).
fof(f4697,plain,
( spl26_2
| spl26_28
| ~ spl26_29 ),
inference(avatar_split_clause,[],[f4696,f264,f260,f121]) ).
fof(f121,plain,
( spl26_2
<=> p1(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).
fof(f260,plain,
( spl26_28
<=> sP3(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_28])]) ).
fof(f264,plain,
( spl26_29
<=> ! [X0] :
( r1(X0,sK10(X0))
| ~ r1(sK21,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_29])]) ).
fof(f4696,plain,
( p1(sK21)
| spl26_28
| ~ spl26_29 ),
inference(subsumption_resolution,[],[f4692,f105]) ).
fof(f105,plain,
sP7(sK21),
inference(resolution,[],[f90,f93]) ).
fof(f90,plain,
! [X8] :
( ~ r1(sK20,X8)
| sP7(X8) ),
inference(cnf_transformation,[],[f61]) ).
fof(f4692,plain,
( p1(sK21)
| ~ sP7(sK21)
| spl26_28
| ~ spl26_29 ),
inference(subsumption_resolution,[],[f4691,f261]) ).
fof(f261,plain,
( ~ sP3(sK21)
| spl26_28 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f4691,plain,
( sP3(sK21)
| p1(sK21)
| ~ sP7(sK21)
| ~ spl26_29 ),
inference(resolution,[],[f4489,f96]) ).
fof(f96,plain,
r1(sK21,sK24),
inference(cnf_transformation,[],[f61]) ).
fof(f4489,plain,
( ! [X0] :
( ~ r1(X0,sK24)
| sP3(X0)
| p1(X0)
| ~ sP7(X0) )
| ~ spl26_29 ),
inference(resolution,[],[f4488,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ~ p1(sK10(X1))
| sP3(X0)
| ~ r1(X0,X1)
| p1(X0)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( sP3(X0)
| ! [X1] :
( ( ~ p1(sK10(X1))
& r1(X1,sK10(X1)) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f22,f23]) ).
fof(f23,plain,
! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
=> ( ~ p1(sK10(X1))
& r1(X1,sK10(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0] :
( sP3(X0)
| ! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ sP7(X0) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X8] :
( sP3(X8)
| ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ~ r1(X8,X23) )
| p1(X8)
| ~ sP7(X8) ),
inference(nnf_transformation,[],[f14]) ).
fof(f4488,plain,
( p1(sK10(sK24))
| ~ spl26_29 ),
inference(resolution,[],[f4437,f97]) ).
fof(f97,plain,
! [X6] :
( ~ r1(sK24,X6)
| p1(X6) ),
inference(cnf_transformation,[],[f61]) ).
fof(f4437,plain,
( r1(sK24,sK10(sK24))
| ~ spl26_29 ),
inference(resolution,[],[f265,f96]) ).
fof(f265,plain,
( ! [X0] :
( ~ r1(sK21,X0)
| r1(X0,sK10(X0)) )
| ~ spl26_29 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f4603,plain,
( ~ spl26_28
| ~ spl26_479
| spl26_480
| ~ spl26_481 ),
inference(avatar_contradiction_clause,[],[f4602]) ).
fof(f4602,plain,
( $false
| ~ spl26_28
| ~ spl26_479
| spl26_480
| ~ spl26_481 ),
inference(subsumption_resolution,[],[f4601,f4431]) ).
fof(f4431,plain,
( r1(sK21,sK15(sK21))
| ~ spl26_28 ),
inference(resolution,[],[f262,f77]) ).
fof(f77,plain,
! [X0] :
( ~ sP3(X0)
| r1(X0,sK15(X0)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK15(X0),X2) )
& ~ p1(sK15(X0))
& r1(X0,sK15(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f39,f40]) ).
fof(f40,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK15(X0),X2) )
& ~ p1(sK15(X0))
& r1(X0,sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X8] :
( ? [X20] :
( ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& ~ p1(X20)
& r1(X8,X20) )
| ~ sP3(X8) ),
inference(nnf_transformation,[],[f10]) ).
fof(f262,plain,
( sP3(sK21)
| ~ spl26_28 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f4601,plain,
( ~ r1(sK21,sK15(sK21))
| ~ spl26_28
| ~ spl26_479
| spl26_480
| ~ spl26_481 ),
inference(subsumption_resolution,[],[f4600,f4459]) ).
fof(f4459,plain,
( ~ p1(sK15(sK21))
| spl26_480 ),
inference(avatar_component_clause,[],[f4458]) ).
fof(f4458,plain,
( spl26_480
<=> p1(sK15(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_480])]) ).
fof(f4600,plain,
( p1(sK15(sK21))
| ~ r1(sK21,sK15(sK21))
| ~ spl26_28
| ~ spl26_479
| spl26_480
| ~ spl26_481 ),
inference(resolution,[],[f4594,f100]) ).
fof(f4594,plain,
( p1(sK23(sK15(sK21)))
| ~ spl26_28
| ~ spl26_479
| spl26_480
| ~ spl26_481 ),
inference(subsumption_resolution,[],[f4593,f4431]) ).
fof(f4593,plain,
( p1(sK23(sK15(sK21)))
| ~ r1(sK21,sK15(sK21))
| ~ spl26_28
| ~ spl26_479
| spl26_480
| ~ spl26_481 ),
inference(subsumption_resolution,[],[f4591,f4459]) ).
fof(f4591,plain,
( p1(sK23(sK15(sK21)))
| p1(sK15(sK21))
| ~ r1(sK21,sK15(sK21))
| ~ spl26_28
| ~ spl26_479
| ~ spl26_481 ),
inference(resolution,[],[f4559,f99]) ).
fof(f4559,plain,
( ! [X0] :
( ~ r1(sK22(sK15(sK21)),X0)
| p1(X0) )
| ~ spl26_28
| ~ spl26_479
| ~ spl26_481 ),
inference(subsumption_resolution,[],[f4558,f262]) ).
fof(f4558,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK22(sK15(sK21)),X0)
| ~ sP3(sK21) )
| ~ spl26_479
| ~ spl26_481 ),
inference(subsumption_resolution,[],[f4557,f4465]) ).
fof(f4465,plain,
( p1(sK22(sK15(sK21)))
| ~ spl26_481 ),
inference(avatar_component_clause,[],[f4463]) ).
fof(f4463,plain,
( spl26_481
<=> p1(sK22(sK15(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_481])]) ).
fof(f4557,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK22(sK15(sK21)),X0)
| ~ p1(sK22(sK15(sK21)))
| ~ sP3(sK21) )
| ~ spl26_479 ),
inference(resolution,[],[f4456,f79]) ).
fof(f79,plain,
! [X2,X3,X0] :
( ~ r1(sK15(X0),X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ p1(X2)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f4456,plain,
( r1(sK15(sK21),sK22(sK15(sK21)))
| ~ spl26_479 ),
inference(avatar_component_clause,[],[f4454]) ).
fof(f4454,plain,
( spl26_479
<=> r1(sK15(sK21),sK22(sK15(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_479])]) ).
fof(f4487,plain,
( ~ spl26_28
| ~ spl26_480 ),
inference(avatar_contradiction_clause,[],[f4486]) ).
fof(f4486,plain,
( $false
| ~ spl26_28
| ~ spl26_480 ),
inference(subsumption_resolution,[],[f4485,f262]) ).
fof(f4485,plain,
( ~ sP3(sK21)
| ~ spl26_480 ),
inference(resolution,[],[f4460,f78]) ).
fof(f78,plain,
! [X0] :
( ~ p1(sK15(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f4460,plain,
( p1(sK15(sK21))
| ~ spl26_480 ),
inference(avatar_component_clause,[],[f4458]) ).
fof(f4466,plain,
( spl26_481
| spl26_480
| ~ spl26_28 ),
inference(avatar_split_clause,[],[f4445,f260,f4458,f4463]) ).
fof(f4445,plain,
( p1(sK15(sK21))
| p1(sK22(sK15(sK21)))
| ~ spl26_28 ),
inference(resolution,[],[f4431,f101]) ).
fof(f101,plain,
! [X2] :
( ~ r1(sK21,X2)
| p1(X2)
| p1(sK22(X2)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f4461,plain,
( spl26_479
| spl26_480
| ~ spl26_28 ),
inference(avatar_split_clause,[],[f4444,f260,f4458,f4454]) ).
fof(f4444,plain,
( p1(sK15(sK21))
| r1(sK15(sK21),sK22(sK15(sK21)))
| ~ spl26_28 ),
inference(resolution,[],[f4431,f98]) ).
fof(f98,plain,
! [X2] :
( ~ r1(sK21,X2)
| p1(X2)
| r1(X2,sK22(X2)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f4379,plain,
~ spl26_58,
inference(avatar_contradiction_clause,[],[f4378]) ).
fof(f4378,plain,
( $false
| ~ spl26_58 ),
inference(subsumption_resolution,[],[f4377,f107]) ).
fof(f107,plain,
sP8(sK21),
inference(resolution,[],[f91,f93]) ).
fof(f91,plain,
! [X8] :
( ~ r1(sK20,X8)
| sP8(X8) ),
inference(cnf_transformation,[],[f61]) ).
fof(f4377,plain,
( ~ sP8(sK21)
| ~ spl26_58 ),
inference(resolution,[],[f454,f96]) ).
fof(f454,plain,
( ! [X2] :
( ~ r1(X2,sK24)
| ~ sP8(X2) )
| ~ spl26_58 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f453,plain,
( spl26_58
<=> ! [X2] :
( ~ r1(X2,sK24)
| ~ sP8(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_58])]) ).
fof(f4310,plain,
( ~ spl26_4
| ~ spl26_19
| ~ spl26_38
| spl26_145
| ~ spl26_277 ),
inference(avatar_contradiction_clause,[],[f4309]) ).
fof(f4309,plain,
( $false
| ~ spl26_4
| ~ spl26_19
| ~ spl26_38
| spl26_145
| ~ spl26_277 ),
inference(subsumption_resolution,[],[f4308,f134]) ).
fof(f134,plain,
( sP4(sK21)
| ~ spl26_4 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f4308,plain,
( ~ sP4(sK21)
| ~ spl26_19
| ~ spl26_38
| spl26_145
| ~ spl26_277 ),
inference(resolution,[],[f4306,f325]) ).
fof(f325,plain,
( r1(sK21,sK12(sK21))
| ~ spl26_38 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f323,plain,
( spl26_38
<=> r1(sK21,sK12(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_38])]) ).
fof(f4306,plain,
( ! [X1] :
( ~ r1(X1,sK12(sK21))
| ~ sP4(X1) )
| ~ spl26_19
| spl26_145
| ~ spl26_277 ),
inference(resolution,[],[f2435,f306]) ).
fof(f306,plain,
( r1(sK12(sK21),sK18(sK12(sK21)))
| ~ spl26_19 ),
inference(resolution,[],[f225,f84]) ).
fof(f84,plain,
! [X0] :
( ~ sP1(X0)
| r1(X0,sK18(X0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ( ~ p1(sK18(X0))
& r1(X0,sK18(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f48,f49]) ).
fof(f49,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
=> ( ~ p1(sK18(X0))
& r1(X0,sK18(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X25] :
( ? [X30] :
( ~ p1(X30)
& r1(X25,X30) )
| ~ sP1(X25) ),
inference(nnf_transformation,[],[f8]) ).
fof(f225,plain,
( sP1(sK12(sK21))
| ~ spl26_19 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl26_19
<=> sP1(sK12(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_19])]) ).
fof(f2435,plain,
( ! [X0,X1] :
( ~ r1(X0,sK18(sK12(sK21)))
| ~ r1(X1,X0)
| ~ sP4(X1) )
| spl26_145
| ~ spl26_277 ),
inference(subsumption_resolution,[],[f2434,f1187]) ).
fof(f1187,plain,
( ~ p1(sK18(sK12(sK21)))
| spl26_145 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1186,plain,
( spl26_145
<=> p1(sK18(sK12(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_145])]) ).
fof(f2434,plain,
( ! [X0,X1] :
( p1(sK18(sK12(sK21)))
| ~ r1(X0,sK18(sK12(sK21)))
| ~ r1(X1,X0)
| ~ sP4(X1) )
| ~ spl26_277 ),
inference(resolution,[],[f2348,f75]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ p1(sK14(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p1(sK13(X2))
& ~ p1(sK14(X2))
& r1(sK13(X2),sK14(X2))
& r1(X2,sK13(X2)) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f34,f36,f35]) ).
fof(f35,plain,
! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p1(sK13(X2))
& ? [X4] :
( ~ p1(X4)
& r1(sK13(X2),X4) )
& r1(X2,sK13(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X2] :
( ? [X4] :
( ~ p1(X4)
& r1(sK13(X2),X4) )
=> ( ~ p1(sK14(X2))
& r1(sK13(X2),sK14(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X8] :
( ! [X12] :
( ! [X13] :
( ? [X14] :
( p1(X14)
& ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
& r1(X13,X14) )
| p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X8,X12) )
| ~ sP4(X8) ),
inference(nnf_transformation,[],[f11]) ).
fof(f2348,plain,
( p1(sK14(sK18(sK12(sK21))))
| ~ spl26_277 ),
inference(avatar_component_clause,[],[f2346]) ).
fof(f2346,plain,
( spl26_277
<=> p1(sK14(sK18(sK12(sK21)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_277])]) ).
fof(f2352,plain,
( spl26_277
| ~ spl26_4
| ~ spl26_19
| ~ spl26_38
| spl26_145
| ~ spl26_146 ),
inference(avatar_split_clause,[],[f2351,f1190,f1186,f323,f223,f132,f2346]) ).
fof(f1190,plain,
( spl26_146
<=> ! [X0,X1] :
( p1(X0)
| ~ p1(X1)
| ~ r1(sK18(sK12(sK21)),X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_146])]) ).
fof(f2351,plain,
( p1(sK14(sK18(sK12(sK21))))
| ~ spl26_4
| ~ spl26_19
| ~ spl26_38
| spl26_145
| ~ spl26_146 ),
inference(subsumption_resolution,[],[f2350,f306]) ).
fof(f2350,plain,
( p1(sK14(sK18(sK12(sK21))))
| ~ r1(sK12(sK21),sK18(sK12(sK21)))
| ~ spl26_4
| ~ spl26_19
| ~ spl26_38
| spl26_145
| ~ spl26_146 ),
inference(subsumption_resolution,[],[f2333,f1187]) ).
fof(f2333,plain,
( p1(sK14(sK18(sK12(sK21))))
| p1(sK18(sK12(sK21)))
| ~ r1(sK12(sK21),sK18(sK12(sK21)))
| ~ spl26_4
| ~ spl26_19
| ~ spl26_38
| spl26_145
| ~ spl26_146 ),
inference(resolution,[],[f1756,f1176]) ).
fof(f1176,plain,
( ! [X3] :
( r1(sK13(X3),sK14(X3))
| p1(X3)
| ~ r1(sK12(sK21),X3) )
| ~ spl26_4
| ~ spl26_38 ),
inference(resolution,[],[f1127,f325]) ).
fof(f1127,plain,
( ! [X0,X1] :
( ~ r1(sK21,X1)
| ~ r1(X1,X0)
| p1(X0)
| r1(sK13(X0),sK14(X0)) )
| ~ spl26_4 ),
inference(resolution,[],[f134,f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ sP4(X0)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(sK13(X2),sK14(X2)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f1756,plain,
( ! [X0] :
( ~ r1(sK13(sK18(sK12(sK21))),X0)
| p1(X0) )
| ~ spl26_4
| ~ spl26_19
| ~ spl26_38
| spl26_145
| ~ spl26_146 ),
inference(subsumption_resolution,[],[f1755,f1269]) ).
fof(f1269,plain,
( p1(sK13(sK18(sK12(sK21))))
| ~ spl26_4
| ~ spl26_19
| ~ spl26_38
| spl26_145 ),
inference(subsumption_resolution,[],[f1265,f1187]) ).
fof(f1265,plain,
( p1(sK18(sK12(sK21)))
| p1(sK13(sK18(sK12(sK21))))
| ~ spl26_4
| ~ spl26_19
| ~ spl26_38 ),
inference(resolution,[],[f1157,f306]) ).
fof(f1157,plain,
( ! [X3] :
( ~ r1(sK12(sK21),X3)
| p1(X3)
| p1(sK13(X3)) )
| ~ spl26_4
| ~ spl26_38 ),
inference(resolution,[],[f1129,f325]) ).
fof(f1129,plain,
( ! [X4,X5] :
( ~ r1(sK21,X5)
| ~ r1(X5,X4)
| p1(X4)
| p1(sK13(X4)) )
| ~ spl26_4 ),
inference(resolution,[],[f134,f76]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ sP4(X0)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p1(sK13(X2)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f1755,plain,
( ! [X0] :
( ~ p1(sK13(sK18(sK12(sK21))))
| p1(X0)
| ~ r1(sK13(sK18(sK12(sK21))),X0) )
| ~ spl26_4
| ~ spl26_19
| ~ spl26_38
| spl26_145
| ~ spl26_146 ),
inference(resolution,[],[f1426,f1191]) ).
fof(f1191,plain,
( ! [X0,X1] :
( ~ r1(sK18(sK12(sK21)),X1)
| ~ p1(X1)
| p1(X0)
| ~ r1(X1,X0) )
| ~ spl26_146 ),
inference(avatar_component_clause,[],[f1190]) ).
fof(f1426,plain,
( r1(sK18(sK12(sK21)),sK13(sK18(sK12(sK21))))
| ~ spl26_4
| ~ spl26_19
| ~ spl26_38
| spl26_145 ),
inference(subsumption_resolution,[],[f1423,f1187]) ).
fof(f1423,plain,
( p1(sK18(sK12(sK21)))
| r1(sK18(sK12(sK21)),sK13(sK18(sK12(sK21))))
| ~ spl26_4
| ~ spl26_19
| ~ spl26_38 ),
inference(resolution,[],[f1166,f306]) ).
fof(f1166,plain,
( ! [X3] :
( ~ r1(sK12(sK21),X3)
| p1(X3)
| r1(X3,sK13(X3)) )
| ~ spl26_4
| ~ spl26_38 ),
inference(resolution,[],[f1128,f325]) ).
fof(f1128,plain,
( ! [X2,X3] :
( ~ r1(sK21,X3)
| ~ r1(X3,X2)
| p1(X2)
| r1(X2,sK13(X2)) )
| ~ spl26_4 ),
inference(resolution,[],[f134,f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ sP4(X0)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X2,sK13(X2)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f1203,plain,
( ~ spl26_19
| ~ spl26_145 ),
inference(avatar_contradiction_clause,[],[f1202]) ).
fof(f1202,plain,
( $false
| ~ spl26_19
| ~ spl26_145 ),
inference(subsumption_resolution,[],[f1201,f225]) ).
fof(f1201,plain,
( ~ sP1(sK12(sK21))
| ~ spl26_145 ),
inference(resolution,[],[f1188,f85]) ).
fof(f85,plain,
! [X0] :
( ~ p1(sK18(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1188,plain,
( p1(sK18(sK12(sK21)))
| ~ spl26_145 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1192,plain,
( spl26_145
| spl26_146
| ~ spl26_19
| ~ spl26_34 ),
inference(avatar_split_clause,[],[f1182,f296,f223,f1190,f1186]) ).
fof(f296,plain,
( spl26_34
<=> sP0(sK12(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_34])]) ).
fof(f1182,plain,
( ! [X0,X1] :
( p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK18(sK12(sK21)),X1)
| ~ p1(X1)
| p1(sK18(sK12(sK21))) )
| ~ spl26_19
| ~ spl26_34 ),
inference(resolution,[],[f1131,f306]) ).
fof(f1131,plain,
( ! [X3,X4,X5] :
( ~ r1(sK12(sK21),X5)
| p1(X4)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ p1(X3)
| p1(X5) )
| ~ spl26_34 ),
inference(resolution,[],[f298,f88]) ).
fof(f88,plain,
! [X3,X0,X1,X4] :
( ~ sP0(X0)
| ~ p1(X3)
| p1(X4)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| p1(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ( p1(X1)
& ~ p1(sK19(X1))
& r1(X1,sK19(X1)) )
| ! [X3] :
( ~ p1(X3)
| ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f52,f53]) ).
fof(f53,plain,
! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
=> ( ~ p1(sK19(X1))
& r1(X1,sK19(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ( p1(X1)
& ? [X2] :
( ~ p1(X2)
& r1(X1,X2) ) )
| ! [X3] :
( ~ p1(X3)
| ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X25] :
( ! [X26] :
( ( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) ) )
| ! [X28] :
( ~ p1(X28)
| ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X26,X28) )
| ~ r1(X25,X26) )
| ~ sP0(X25) ),
inference(nnf_transformation,[],[f7]) ).
fof(f298,plain,
( sP0(sK12(sK21))
| ~ spl26_34 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f1126,plain,
( spl26_4
| ~ spl26_8 ),
inference(avatar_split_clause,[],[f1125,f151,f132]) ).
fof(f1125,plain,
( sP4(sK21)
| ~ spl26_8 ),
inference(subsumption_resolution,[],[f1121,f109]) ).
fof(f1121,plain,
( sP4(sK21)
| ~ sP6(sK21)
| ~ spl26_8 ),
inference(resolution,[],[f153,f67]) ).
fof(f67,plain,
! [X0] :
( ~ p1(sK11(X0))
| sP4(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f153,plain,
( p1(sK11(sK21))
| ~ spl26_8 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f1112,plain,
( spl26_7
| spl26_8
| ~ spl26_3 ),
inference(avatar_split_clause,[],[f1104,f128,f151,f147]) ).
fof(f1104,plain,
( p1(sK11(sK21))
| p1(sK22(sK11(sK21)))
| ~ spl26_3 ),
inference(resolution,[],[f130,f101]) ).
fof(f1111,plain,
( spl26_140
| spl26_8
| ~ spl26_3 ),
inference(avatar_split_clause,[],[f1103,f128,f151,f1108]) ).
fof(f1103,plain,
( p1(sK11(sK21))
| r1(sK11(sK21),sK22(sK11(sK21)))
| ~ spl26_3 ),
inference(resolution,[],[f130,f98]) ).
fof(f987,plain,
( spl26_34
| spl26_20
| ~ spl26_2
| spl26_21 ),
inference(avatar_split_clause,[],[f291,f230,f121,f227,f296]) ).
fof(f227,plain,
( spl26_20
<=> ! [X0] :
( p1(X0)
| ~ r1(sK21,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_20])]) ).
fof(f230,plain,
( spl26_21
<=> sP2(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_21])]) ).
fof(f291,plain,
! [X0] :
( sP2(sK21)
| ~ p1(sK21)
| p1(X0)
| ~ r1(sK21,X0)
| sP0(sK12(sK21)) ),
inference(resolution,[],[f72,f103]) ).
fof(f103,plain,
sP5(sK21),
inference(resolution,[],[f89,f93]) ).
fof(f89,plain,
! [X8] :
( ~ r1(sK20,X8)
| sP5(X8) ),
inference(cnf_transformation,[],[f61]) ).
fof(f72,plain,
! [X2,X0] :
( ~ sP5(X0)
| sP2(X0)
| ~ p1(X0)
| p1(X2)
| ~ r1(X0,X2)
| sP0(sK12(X0)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ( sP0(sK12(X0))
& p1(sK12(X0))
& sP1(sK12(X0))
& r1(X0,sK12(X0)) )
| sP2(X0)
| ~ p1(X0)
| ! [X2] :
( p1(X2)
| ~ r1(X0,X2) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f30,f31]) ).
fof(f31,plain,
! [X0] :
( ? [X1] :
( sP0(X1)
& p1(X1)
& sP1(X1)
& r1(X0,X1) )
=> ( sP0(sK12(X0))
& p1(sK12(X0))
& sP1(sK12(X0))
& r1(X0,sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ? [X1] :
( sP0(X1)
& p1(X1)
& sP1(X1)
& r1(X0,X1) )
| sP2(X0)
| ~ p1(X0)
| ! [X2] :
( p1(X2)
| ~ r1(X0,X2) )
| ~ sP5(X0) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X8] :
( ? [X25] :
( sP0(X25)
& p1(X25)
& sP1(X25)
& r1(X8,X25) )
| sP2(X8)
| ~ p1(X8)
| ! [X34] :
( p1(X34)
| ~ r1(X8,X34) )
| ~ sP5(X8) ),
inference(nnf_transformation,[],[f12]) ).
fof(f986,plain,
( spl26_38
| spl26_20
| ~ spl26_2
| spl26_21 ),
inference(avatar_split_clause,[],[f318,f230,f121,f227,f323]) ).
fof(f318,plain,
! [X0] :
( sP2(sK21)
| ~ p1(sK21)
| p1(X0)
| ~ r1(sK21,X0)
| r1(sK21,sK12(sK21)) ),
inference(resolution,[],[f69,f103]) ).
fof(f69,plain,
! [X2,X0] :
( ~ sP5(X0)
| sP2(X0)
| ~ p1(X0)
| p1(X2)
| ~ r1(X0,X2)
| r1(X0,sK12(X0)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f975,plain,
( ~ spl26_21
| ~ spl26_47 ),
inference(avatar_contradiction_clause,[],[f974]) ).
fof(f974,plain,
( $false
| ~ spl26_21
| ~ spl26_47 ),
inference(subsumption_resolution,[],[f973,f96]) ).
fof(f973,plain,
( ~ r1(sK21,sK24)
| ~ spl26_21
| ~ spl26_47 ),
inference(resolution,[],[f970,f232]) ).
fof(f232,plain,
( sP2(sK21)
| ~ spl26_21 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f970,plain,
( ! [X0] :
( ~ sP2(X0)
| ~ r1(X0,sK24) )
| ~ spl26_21
| ~ spl26_47 ),
inference(resolution,[],[f967,f82]) ).
fof(f82,plain,
! [X0,X1] :
( ~ p1(sK17(X1))
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( ( p1(sK16(X1))
& ~ p1(sK17(X1))
& r1(sK16(X1),sK17(X1))
& r1(X1,sK16(X1)) )
| ~ r1(X0,X1) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f43,f45,f44]) ).
fof(f44,plain,
! [X1] :
( ? [X2] :
( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p1(sK16(X1))
& ? [X3] :
( ~ p1(X3)
& r1(sK16(X1),X3) )
& r1(X1,sK16(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X1] :
( ? [X3] :
( ~ p1(X3)
& r1(sK16(X1),X3) )
=> ( ~ p1(sK17(X1))
& r1(sK16(X1),sK17(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP2(X0) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X8] :
( ! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| ~ r1(X8,X31) )
| ~ sP2(X8) ),
inference(nnf_transformation,[],[f9]) ).
fof(f967,plain,
( p1(sK17(sK24))
| ~ spl26_21
| ~ spl26_47 ),
inference(subsumption_resolution,[],[f965,f96]) ).
fof(f965,plain,
( p1(sK17(sK24))
| ~ r1(sK21,sK24)
| ~ spl26_21
| ~ spl26_47 ),
inference(resolution,[],[f594,f333]) ).
fof(f333,plain,
( ! [X0] :
( r1(sK16(X0),sK17(X0))
| ~ r1(sK21,X0) )
| ~ spl26_21 ),
inference(resolution,[],[f232,f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ r1(X0,X1)
| r1(sK16(X1),sK17(X1)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f594,plain,
( ! [X0] :
( ~ r1(sK16(sK24),X0)
| p1(X0) )
| ~ spl26_21
| ~ spl26_47 ),
inference(resolution,[],[f497,f394]) ).
fof(f394,plain,
( ! [X2,X3] :
( ~ r1(sK24,X2)
| p1(X3)
| ~ r1(X2,X3) )
| ~ spl26_47 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f393,plain,
( spl26_47
<=> ! [X2,X3] :
( ~ r1(X2,X3)
| p1(X3)
| ~ r1(sK24,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_47])]) ).
fof(f497,plain,
( r1(sK24,sK16(sK24))
| ~ spl26_21 ),
inference(resolution,[],[f334,f96]) ).
fof(f334,plain,
( ! [X1] :
( ~ r1(sK21,X1)
| r1(X1,sK16(X1)) )
| ~ spl26_21 ),
inference(resolution,[],[f232,f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ r1(X0,X1)
| r1(X1,sK16(X1)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f455,plain,
( spl26_58
| spl26_47
| ~ spl26_46 ),
inference(avatar_split_clause,[],[f451,f389,f393,f453]) ).
fof(f389,plain,
( spl26_46
<=> r1(sK24,sK9(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_46])]) ).
fof(f451,plain,
( ! [X2,X0,X1] :
( p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK24,X1)
| ~ r1(X2,sK24)
| ~ sP8(X2) )
| ~ spl26_46 ),
inference(resolution,[],[f450,f63]) ).
fof(f63,plain,
! [X3,X0,X1,X4] :
( ~ p1(sK9(X1))
| p1(X4)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ! [X1] :
( ( ~ p1(sK9(X1))
& r1(X1,sK9(X1)) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f18,f19]) ).
fof(f19,plain,
! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
=> ( ~ p1(sK9(X1))
& r1(X1,sK9(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP8(X0) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X8] :
( ! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X16,X18) )
| ~ r1(X8,X16) )
| ~ sP8(X8) ),
inference(nnf_transformation,[],[f15]) ).
fof(f450,plain,
( p1(sK9(sK24))
| ~ spl26_46 ),
inference(resolution,[],[f391,f97]) ).
fof(f391,plain,
( r1(sK24,sK9(sK24))
| ~ spl26_46 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f395,plain,
( spl26_46
| spl26_47 ),
inference(avatar_split_clause,[],[f378,f393,f389]) ).
fof(f378,plain,
! [X2,X3] :
( ~ r1(X2,X3)
| ~ r1(sK24,X2)
| p1(X3)
| r1(sK24,sK9(sK24)) ),
inference(resolution,[],[f339,f96]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ r1(sK21,X2)
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| p1(X0)
| r1(X2,sK9(X2)) ),
inference(resolution,[],[f62,f107]) ).
fof(f62,plain,
! [X3,X0,X1,X4] :
( ~ sP8(X0)
| p1(X4)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| r1(X1,sK9(X1)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f331,plain,
~ spl26_20,
inference(avatar_contradiction_clause,[],[f330]) ).
fof(f330,plain,
( $false
| ~ spl26_20 ),
inference(subsumption_resolution,[],[f327,f95]) ).
fof(f95,plain,
~ p1(sK25),
inference(cnf_transformation,[],[f61]) ).
fof(f327,plain,
( p1(sK25)
| ~ spl26_20 ),
inference(resolution,[],[f228,f94]) ).
fof(f94,plain,
r1(sK21,sK25),
inference(cnf_transformation,[],[f61]) ).
fof(f228,plain,
( ! [X0] :
( ~ r1(sK21,X0)
| p1(X0) )
| ~ spl26_20 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f266,plain,
( spl26_28
| spl26_2
| spl26_29 ),
inference(avatar_split_clause,[],[f173,f264,f121,f260]) ).
fof(f173,plain,
! [X0] :
( r1(X0,sK10(X0))
| ~ r1(sK21,X0)
| p1(sK21)
| sP3(sK21) ),
inference(resolution,[],[f64,f105]) ).
fof(f64,plain,
! [X0,X1] :
( ~ sP7(X0)
| r1(X1,sK10(X1))
| ~ r1(X0,X1)
| p1(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f258,plain,
( spl26_19
| spl26_20
| ~ spl26_2
| spl26_21 ),
inference(avatar_split_clause,[],[f218,f230,f121,f227,f223]) ).
fof(f218,plain,
! [X0] :
( sP2(sK21)
| ~ p1(sK21)
| p1(X0)
| ~ r1(sK21,X0)
| sP1(sK12(sK21)) ),
inference(resolution,[],[f70,f103]) ).
fof(f70,plain,
! [X2,X0] :
( ~ sP5(X0)
| sP2(X0)
| ~ p1(X0)
| p1(X2)
| ~ r1(X0,X2)
| sP1(sK12(X0)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f135,plain,
( spl26_3
| spl26_4 ),
inference(avatar_split_clause,[],[f125,f132,f128]) ).
fof(f125,plain,
( sP4(sK21)
| r1(sK21,sK11(sK21)) ),
inference(resolution,[],[f66,f109]) ).
fof(f66,plain,
! [X0] :
( ~ sP6(X0)
| sP4(X0)
| r1(X0,sK11(X0)) ),
inference(cnf_transformation,[],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL658+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 30 15:03:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.41 % (24169)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (24179)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.22/0.42 % (24180)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.42 % (24181)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.22/0.42 % (24182)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.42 % (24183)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.22/0.42 % (24184)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.22/0.42 % (24185)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.42 TRYING [2]
% 0.22/0.42 TRYING [2]
% 0.22/0.42 TRYING [3]
% 0.22/0.42 TRYING [3]
% 0.22/0.42 TRYING [3]
% 0.22/0.42 TRYING [3]
% 0.22/0.42 TRYING [4]
% 0.22/0.42 TRYING [4]
% 0.22/0.43 TRYING [4]
% 0.22/0.43 TRYING [4]
% 0.22/0.43 TRYING [5]
% 0.22/0.43 TRYING [5]
% 0.22/0.43 TRYING [5]
% 0.22/0.44 TRYING [5]
% 0.22/0.44 TRYING [6]
% 0.22/0.44 TRYING [6]
% 0.22/0.45 TRYING [6]
% 0.22/0.45 TRYING [6]
% 0.22/0.47 TRYING [7]
% 0.22/0.47 TRYING [7]
% 0.22/0.48 TRYING [7]
% 0.22/0.50 % (24184)First to succeed.
% 0.22/0.51 TRYING [7]
% 0.22/0.51 % (24184)Refutation found. Thanks to Tanya!
% 0.22/0.51 % SZS status Theorem for Vampire---4
% 0.22/0.51 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.51 % (24184)------------------------------
% 0.22/0.51 % (24184)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.51 % (24184)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.51 % (24184)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (24184)Memory used [KB]: 8059
% 0.22/0.51 % (24184)Time elapsed: 0.091 s
% 0.22/0.51 % (24184)------------------------------
% 0.22/0.51 % (24184)------------------------------
% 0.22/0.51 % (24169)Success in time 0.15 s
% 0.22/0.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------