TSTP Solution File: LCL652+1.001 by Vampire-SAT---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : LCL652+1.001 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n027.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 : Mon Jun 24 11:39:49 EDT 2024
% Result : Theorem 0.22s 0.50s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 44
% Syntax : Number of formulae : 222 ( 6 unt; 0 def)
% Number of atoms : 1708 ( 0 equ)
% Maximal formula atoms : 104 ( 7 avg)
% Number of connectives : 2794 (1308 ~;1123 |; 322 &)
% ( 17 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 18 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 5 con; 0-1 aty)
% Number of variables : 844 ( 661 !; 183 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3845,plain,
$false,
inference(avatar_sat_refutation,[],[f282,f379,f394,f476,f601,f742,f766,f823,f1125,f1138,f1661,f1813,f2186,f3329,f3334,f3348,f3588,f3593,f3601,f3629,f3634,f3742,f3744,f3748,f3771,f3782,f3784,f3787,f3844]) ).
fof(f3844,plain,
( spl26_211
| ~ spl26_149
| spl26_47
| ~ spl26_46
| ~ spl26_201 ),
inference(avatar_split_clause,[],[f3841,f1656,f374,f377,f1085,f1811]) ).
fof(f1811,plain,
( spl26_211
<=> p2(sK6(sK20(sK5(sK18(sK11))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_211])]) ).
fof(f1085,plain,
( spl26_149
<=> r1(sK11,sK18(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_149])]) ).
fof(f377,plain,
( spl26_47
<=> r1(sK18(sK11),sK8(sK18(sK11))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_47])]) ).
fof(f374,plain,
( spl26_46
<=> r1(sK18(sK11),sK5(sK18(sK11))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_46])]) ).
fof(f1656,plain,
( spl26_201
<=> ! [X1] :
( ~ r1(sK18(sK11),X1)
| r1(X1,sK20(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_201])]) ).
fof(f3841,plain,
( r1(sK18(sK11),sK8(sK18(sK11)))
| ~ r1(sK11,sK18(sK11))
| p2(sK6(sK20(sK5(sK18(sK11)))))
| ~ spl26_46
| ~ spl26_201 ),
inference(resolution,[],[f3791,f566]) ).
fof(f566,plain,
! [X0,X1] :
( ~ r1(sK5(X0),X1)
| r1(X0,sK8(X0))
| ~ r1(sK11,X0)
| p2(sK6(X1)) ),
inference(resolution,[],[f56,f92]) ).
fof(f92,plain,
sP0(sK11),
inference(resolution,[],[f70,f84]) ).
fof(f84,plain,
r1(sK9,sK11),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ! [X1] :
( ( p1(sK10(X1))
& r1(X1,sK10(X1)) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(sK9,X1) )
& ! [X6] :
( ( ~ p2(sK12(X6))
& r1(X6,sK12(X6)) )
| ~ r1(sK11,X6) )
& r1(sK9,sK11)
& ~ p1(sK14)
& r1(sK13,sK14)
& ! [X11] :
( p1(X11)
| ~ r1(sK15,X11) )
& r1(sK13,sK15)
& r1(sK9,sK13)
& ! [X12] :
( ( ~ p1(sK16(X12))
& r1(X12,sK16(X12)) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(sK9,X12) )
& ! [X16] :
( ( ( ( ! [X18] :
( ~ p2(X18)
| ~ r1(sK17(X16),X18) )
& r1(X16,sK17(X16)) )
| ( p2(sK18(X16))
& r1(sK18(X16),sK19(X16))
& r1(X16,sK18(X16)) ) )
& sP0(X16)
& sP1(X16)
& ! [X21] :
( ! [X22] :
( ( ! [X24] :
( ~ p2(X24)
| ~ r1(sK20(X22),X24) )
& r1(X22,sK20(X22)) )
| ~ r1(X21,X22) )
| ~ p2(X21)
| ! [X25] :
( ( p2(X25)
& r1(X25,sK21(X25)) )
| ~ r1(X21,X25) )
| ~ r1(X16,X21) )
& ! [X27] :
( ( p2(sK22(X27))
& r1(sK22(X27),sK23(X27))
& r1(X27,sK22(X27)) )
| ~ r1(X16,X27) ) )
| ~ r1(sK9,X16) )
& ! [X30] :
( ( ! [X32] :
( ~ p1(X32)
| ~ r1(sK24(X30),X32) )
& r1(X30,sK24(X30)) )
| ! [X33] :
( ! [X34] :
( ( p1(sK25(X34))
& r1(X34,sK25(X34)) )
| ~ r1(X33,X34) )
| ~ r1(X30,X33) )
| ~ r1(sK9,X30) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25])],[f25,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26]) ).
fof(f26,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X0,X12) )
& ! [X16] :
( ( ( ? [X17] :
( ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
& r1(X16,X17) )
| ? [X19] :
( p2(X19)
& ? [X20] : r1(X19,X20)
& r1(X16,X19) ) )
& sP0(X16)
& sP1(X16)
& ! [X21] :
( ! [X22] :
( ? [X23] :
( ! [X24] :
( ~ p2(X24)
| ~ r1(X23,X24) )
& r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ p2(X21)
| ! [X25] :
( ( p2(X25)
& ? [X26] : r1(X25,X26) )
| ~ r1(X21,X25) )
| ~ r1(X16,X21) )
& ! [X27] :
( ? [X28] :
( p2(X28)
& ? [X29] : r1(X28,X29)
& r1(X27,X28) )
| ~ r1(X16,X27) ) )
| ~ r1(X0,X16) )
& ! [X30] :
( ? [X31] :
( ! [X32] :
( ~ p1(X32)
| ~ r1(X31,X32) )
& r1(X30,X31) )
| ! [X33] :
( ! [X34] :
( ? [X35] :
( p1(X35)
& r1(X34,X35) )
| ~ r1(X33,X34) )
| ~ r1(X30,X33) )
| ~ r1(X0,X30) ) )
=> ( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(sK9,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(sK9,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(sK9,X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(sK9,X12) )
& ! [X16] :
( ( ( ? [X17] :
( ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
& r1(X16,X17) )
| ? [X19] :
( p2(X19)
& ? [X20] : r1(X19,X20)
& r1(X16,X19) ) )
& sP0(X16)
& sP1(X16)
& ! [X21] :
( ! [X22] :
( ? [X23] :
( ! [X24] :
( ~ p2(X24)
| ~ r1(X23,X24) )
& r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ p2(X21)
| ! [X25] :
( ( p2(X25)
& ? [X26] : r1(X25,X26) )
| ~ r1(X21,X25) )
| ~ r1(X16,X21) )
& ! [X27] :
( ? [X28] :
( p2(X28)
& ? [X29] : r1(X28,X29)
& r1(X27,X28) )
| ~ r1(X16,X27) ) )
| ~ r1(sK9,X16) )
& ! [X30] :
( ? [X31] :
( ! [X32] :
( ~ p1(X32)
| ~ r1(X31,X32) )
& r1(X30,X31) )
| ! [X33] :
( ! [X34] :
( ? [X35] :
( p1(X35)
& r1(X34,X35) )
| ~ r1(X33,X34) )
| ~ r1(X30,X33) )
| ~ r1(sK9,X30) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
=> ( p1(sK10(X1))
& r1(X1,sK10(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
( ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(sK9,X5) )
=> ( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(sK11,X6) )
& r1(sK9,sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
=> ( ~ p2(sK12(X6))
& r1(X6,sK12(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
( ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(sK9,X8) )
=> ( ? [X9] :
( ~ p1(X9)
& r1(sK13,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(sK13,X10) )
& r1(sK9,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
( ? [X9] :
( ~ p1(X9)
& r1(sK13,X9) )
=> ( ~ p1(sK14)
& r1(sK13,sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
( ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(sK13,X10) )
=> ( ! [X11] :
( p1(X11)
| ~ r1(sK15,X11) )
& r1(sK13,sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
=> ( ~ p1(sK16(X12))
& r1(X12,sK16(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X16] :
( ? [X17] :
( ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
& r1(X16,X17) )
=> ( ! [X18] :
( ~ p2(X18)
| ~ r1(sK17(X16),X18) )
& r1(X16,sK17(X16)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X16] :
( ? [X19] :
( p2(X19)
& ? [X20] : r1(X19,X20)
& r1(X16,X19) )
=> ( p2(sK18(X16))
& ? [X20] : r1(sK18(X16),X20)
& r1(X16,sK18(X16)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X16] :
( ? [X20] : r1(sK18(X16),X20)
=> r1(sK18(X16),sK19(X16)) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X22] :
( ? [X23] :
( ! [X24] :
( ~ p2(X24)
| ~ r1(X23,X24) )
& r1(X22,X23) )
=> ( ! [X24] :
( ~ p2(X24)
| ~ r1(sK20(X22),X24) )
& r1(X22,sK20(X22)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X25] :
( ? [X26] : r1(X25,X26)
=> r1(X25,sK21(X25)) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X27] :
( ? [X28] :
( p2(X28)
& ? [X29] : r1(X28,X29)
& r1(X27,X28) )
=> ( p2(sK22(X27))
& ? [X29] : r1(sK22(X27),X29)
& r1(X27,sK22(X27)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X27] :
( ? [X29] : r1(sK22(X27),X29)
=> r1(sK22(X27),sK23(X27)) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X30] :
( ? [X31] :
( ! [X32] :
( ~ p1(X32)
| ~ r1(X31,X32) )
& r1(X30,X31) )
=> ( ! [X32] :
( ~ p1(X32)
| ~ r1(sK24(X30),X32) )
& r1(X30,sK24(X30)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X34] :
( ? [X35] :
( p1(X35)
& r1(X34,X35) )
=> ( p1(sK25(X34))
& r1(X34,sK25(X34)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X0,X12) )
& ! [X16] :
( ( ( ? [X17] :
( ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
& r1(X16,X17) )
| ? [X19] :
( p2(X19)
& ? [X20] : r1(X19,X20)
& r1(X16,X19) ) )
& sP0(X16)
& sP1(X16)
& ! [X21] :
( ! [X22] :
( ? [X23] :
( ! [X24] :
( ~ p2(X24)
| ~ r1(X23,X24) )
& r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ p2(X21)
| ! [X25] :
( ( p2(X25)
& ? [X26] : r1(X25,X26) )
| ~ r1(X21,X25) )
| ~ r1(X16,X21) )
& ! [X27] :
( ? [X28] :
( p2(X28)
& ? [X29] : r1(X28,X29)
& r1(X27,X28) )
| ~ r1(X16,X27) ) )
| ~ r1(X0,X16) )
& ! [X30] :
( ? [X31] :
( ! [X32] :
( ~ p1(X32)
| ~ r1(X31,X32) )
& r1(X30,X31) )
| ! [X33] :
( ! [X34] :
( ? [X35] :
( p1(X35)
& r1(X34,X35) )
| ~ r1(X33,X34) )
| ~ r1(X30,X33) )
| ~ r1(X0,X30) ) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X0,X12) )
& ! [X16] :
( ( ( ? [X17] :
( ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
& r1(X16,X17) )
| ? [X19] :
( p2(X19)
& ? [X20] : r1(X19,X20)
& r1(X16,X19) ) )
& sP0(X16)
& sP1(X16)
& ! [X34] :
( ! [X35] :
( ? [X36] :
( ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
& r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ p2(X34)
| ! [X38] :
( ( p2(X38)
& ? [X39] : r1(X38,X39) )
| ~ r1(X34,X38) )
| ~ r1(X16,X34) )
& ! [X40] :
( ? [X41] :
( p2(X41)
& ? [X42] : r1(X41,X42)
& r1(X40,X41) )
| ~ r1(X16,X40) ) )
| ~ r1(X0,X16) )
& ! [X43] :
( ? [X44] :
( ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
& r1(X43,X44) )
| ! [X46] :
( ! [X47] :
( ? [X48] :
( p1(X48)
& r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) )
| ~ r1(X0,X43) ) ),
inference(definition_folding,[],[f8,f10,f9]) ).
fof(f9,plain,
! [X16] :
( ! [X21] :
( ? [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] : r1(X24,X25)
& r1(X23,X24) )
| ~ r1(X22,X23) )
& r1(X21,X22) )
| ? [X26] :
( ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
& r1(X21,X26) )
| ~ r1(X16,X21) )
| ~ sP0(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,plain,
! [X16] :
( ? [X28] :
( ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
& r1(X16,X28) )
| ! [X30] :
( ! [X31] :
( ? [X32] :
( p2(X32)
& ? [X33] : r1(X32,X33)
& r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) )
| ~ sP1(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f8,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X0,X12) )
& ! [X16] :
( ( ( ? [X17] :
( ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
& r1(X16,X17) )
| ? [X19] :
( p2(X19)
& ? [X20] : r1(X19,X20)
& r1(X16,X19) ) )
& ! [X21] :
( ? [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] : r1(X24,X25)
& r1(X23,X24) )
| ~ r1(X22,X23) )
& r1(X21,X22) )
| ? [X26] :
( ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
& r1(X21,X26) )
| ~ r1(X16,X21) )
& ( ? [X28] :
( ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
& r1(X16,X28) )
| ! [X30] :
( ! [X31] :
( ? [X32] :
( p2(X32)
& ? [X33] : r1(X32,X33)
& r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) ) )
& ! [X34] :
( ! [X35] :
( ? [X36] :
( ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
& r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ p2(X34)
| ! [X38] :
( ( p2(X38)
& ? [X39] : r1(X38,X39) )
| ~ r1(X34,X38) )
| ~ r1(X16,X34) )
& ! [X40] :
( ? [X41] :
( p2(X41)
& ? [X42] : r1(X41,X42)
& r1(X40,X41) )
| ~ r1(X16,X40) ) )
| ~ r1(X0,X16) )
& ! [X43] :
( ? [X44] :
( ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
& r1(X43,X44) )
| ! [X46] :
( ! [X47] :
( ? [X48] :
( p1(X48)
& r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) )
| ~ r1(X0,X43) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X0,X12) )
& ! [X16] :
( ( ( ? [X17] :
( ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
& r1(X16,X17) )
| ? [X19] :
( p2(X19)
& ? [X20] : r1(X19,X20)
& r1(X16,X19) ) )
& ! [X21] :
( ? [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] : r1(X24,X25)
& r1(X23,X24) )
| ~ r1(X22,X23) )
& r1(X21,X22) )
| ? [X26] :
( ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
& r1(X21,X26) )
| ~ r1(X16,X21) )
& ( ? [X28] :
( ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
& r1(X16,X28) )
| ! [X30] :
( ! [X31] :
( ? [X32] :
( p2(X32)
& ? [X33] : r1(X32,X33)
& r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) ) )
& ! [X34] :
( ! [X35] :
( ? [X36] :
( ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
& r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ p2(X34)
| ! [X38] :
( ( p2(X38)
& ? [X39] : r1(X38,X39) )
| ~ r1(X34,X38) )
| ~ r1(X16,X34) )
& ! [X40] :
( ? [X41] :
( p2(X41)
& ? [X42] : r1(X41,X42)
& r1(X40,X41) )
| ~ r1(X16,X40) ) )
| ~ r1(X0,X16) )
& ! [X43] :
( ? [X44] :
( ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
& r1(X43,X44) )
| ! [X46] :
( ! [X47] :
( ? [X48] :
( p1(X48)
& r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) )
| ~ r1(X0,X43) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ! [X5] :
( ~ ! [X6] :
( ~ ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) )
| ~ ! [X12] :
( ~ ( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
& ~ ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) ) )
| ~ r1(X0,X12) )
| ~ ! [X16] :
( ~ ( ( ! [X17] :
( ~ ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& ! [X19] :
( ~ p2(X19)
| ! [X20] : ~ r1(X19,X20)
| ~ r1(X16,X19) ) )
| ~ ! [X21] :
( ~ ( ! [X22] :
( ~ ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] : ~ r1(X24,X25)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
& ! [X26] :
( ~ ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X21,X26) ) )
| ~ r1(X16,X21) )
| ( ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
| ~ r1(X16,X28) )
& ~ ! [X30] :
( ! [X31] :
( ~ ! [X32] :
( ~ p2(X32)
| ! [X33] : ~ r1(X32,X33)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) ) )
| ~ ! [X34] :
( ~ ( ~ ! [X35] :
( ~ ! [X36] :
( ~ ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& p2(X34)
& ~ ! [X38] :
( ~ ( ~ p2(X38)
| ! [X39] : ~ r1(X38,X39) )
| ~ r1(X34,X38) ) )
| ~ r1(X16,X34) )
| ~ ! [X40] :
( ~ ! [X41] :
( ~ p2(X41)
| ! [X42] : ~ r1(X41,X42)
| ~ r1(X40,X41) )
| ~ r1(X16,X40) ) )
| ~ r1(X0,X16) )
| ~ ! [X43] :
( ~ ( ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
& ~ ! [X46] :
( ! [X47] :
( ~ ! [X48] :
( ~ p1(X48)
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) ) )
| ~ r1(X0,X43) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ! [X5] :
( ~ ! [X6] :
( ~ ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) )
| ~ ! [X12] :
( ~ ( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
& ~ ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) ) )
| ~ r1(X0,X12) )
| ~ ! [X16] :
( ~ ( ( ! [X17] :
( ~ ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& ! [X19] :
( ~ p2(X19)
| ! [X20] : ~ r1(X19,X20)
| ~ r1(X16,X19) ) )
| ~ ! [X21] :
( ~ ( ! [X22] :
( ~ ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] : ~ r1(X24,X25)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
& ! [X26] :
( ~ ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X21,X26) ) )
| ~ r1(X16,X21) )
| ( ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
| ~ r1(X16,X28) )
& ~ ! [X30] :
( ! [X31] :
( ~ ! [X32] :
( ~ p2(X32)
| ! [X33] : ~ r1(X32,X33)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) ) )
| ~ ! [X34] :
( ~ ( ~ ! [X35] :
( ~ ! [X36] :
( ~ ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& p2(X34)
& ~ ! [X38] :
( ~ ( ~ p2(X38)
| ! [X39] : ~ r1(X38,X39) )
| ~ r1(X34,X38) ) )
| ~ r1(X16,X34) )
| ~ ! [X40] :
( ~ ! [X41] :
( ~ p2(X41)
| ! [X42] : ~ r1(X41,X42)
| ~ r1(X40,X41) )
| ~ r1(X16,X40) ) )
| ~ r1(X0,X16) )
| ~ ! [X43] :
( ~ ( ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
& ~ ! [X46] :
( ! [X47] :
( ~ ! [X48] :
( ~ p1(X48)
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) ) )
| ~ r1(X0,X43) )
| ~ ! [X49] :
( ~ p4(X49)
| ~ r1(X0,X49) ) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ! [X5] :
( ~ ! [X6] :
( ~ ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) )
| ~ ! [X12] :
( ~ ( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
& ~ ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) ) )
| ~ r1(X0,X12) )
| ~ ! [X16] :
( ~ ( ( ! [X17] :
( ~ ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& ! [X19] :
( ~ p2(X19)
| ! [X20] :
( p3(X20)
| ~ r1(X19,X20) )
| ~ r1(X16,X19) ) )
| ~ ! [X21] :
( ~ ( ! [X22] :
( ~ ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p3(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
& ! [X26] :
( ~ ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X21,X26) ) )
| ~ r1(X16,X21) )
| ( ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
| ~ r1(X16,X28) )
& ~ ! [X30] :
( ! [X31] :
( ~ ! [X32] :
( ~ p2(X32)
| ! [X33] :
( p3(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) ) )
| ~ ! [X34] :
( ~ ( ~ ! [X35] :
( ~ ! [X36] :
( ~ ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& p2(X34)
& ~ ! [X38] :
( ~ ( ~ p2(X38)
| ! [X39] :
( p3(X39)
| ~ r1(X38,X39) ) )
| ~ r1(X34,X38) ) )
| ~ r1(X16,X34) )
| ~ ! [X40] :
( ~ ! [X41] :
( ~ p2(X41)
| ! [X42] :
( p3(X42)
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X16,X40) ) )
| ~ r1(X0,X16) )
| ~ ! [X43] :
( ~ ( ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
& ~ ! [X46] :
( ! [X47] :
( ~ ! [X48] :
( ~ p1(X48)
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) ) )
| ~ r1(X0,X43) )
| ~ ! [X49] :
( ~ p4(X49)
| ~ r1(X0,X49) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ! [X5] :
( ~ ! [X6] :
( ~ ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) )
| ~ ! [X12] :
( ~ ( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
& ~ ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) ) )
| ~ r1(X0,X12) )
| ~ ! [X16] :
( ~ ( ( ! [X17] :
( ~ ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& ! [X19] :
( ~ p2(X19)
| ! [X20] :
( p3(X20)
| ~ r1(X19,X20) )
| ~ r1(X16,X19) ) )
| ~ ! [X21] :
( ~ ( ! [X22] :
( ~ ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p3(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
& ! [X26] :
( ~ ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X21,X26) ) )
| ~ r1(X16,X21) )
| ( ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
| ~ r1(X16,X28) )
& ~ ! [X30] :
( ! [X31] :
( ~ ! [X32] :
( ~ p2(X32)
| ! [X33] :
( p3(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) ) )
| ~ ! [X34] :
( ~ ( ~ ! [X35] :
( ~ ! [X36] :
( ~ ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& p2(X34)
& ~ ! [X38] :
( ~ ( ~ p2(X38)
| ! [X39] :
( p3(X39)
| ~ r1(X38,X39) ) )
| ~ r1(X34,X38) ) )
| ~ r1(X16,X34) )
| ~ ! [X40] :
( ~ ! [X41] :
( ~ p2(X41)
| ! [X42] :
( p3(X42)
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X16,X40) ) )
| ~ r1(X0,X16) )
| ~ ! [X43] :
( ~ ( ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
& ~ ! [X46] :
( ! [X47] :
( ~ ! [X48] :
( ~ p1(X48)
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) ) )
| ~ r1(X0,X43) )
| ~ ! [X49] :
( ~ p4(X49)
| ~ r1(X0,X49) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& p2(X0)
& ~ ! [X1] :
( ~ ( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ p4(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& p2(X0)
& ~ ! [X1] :
( ~ ( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ p4(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f70,plain,
! [X16] :
( ~ r1(sK9,X16)
| sP0(X16) ),
inference(cnf_transformation,[],[f43]) ).
fof(f56,plain,
! [X3,X0,X1] :
( ~ sP0(X0)
| ~ r1(sK5(X1),X3)
| r1(X1,sK8(X1))
| ~ r1(X0,X1)
| p2(sK6(X3)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( ! [X1] :
( ( ! [X3] :
( ( p2(sK6(X3))
& r1(sK6(X3),sK7(X3))
& r1(X3,sK6(X3)) )
| ~ r1(sK5(X1),X3) )
& r1(X1,sK5(X1)) )
| ( ! [X7] :
( ~ p2(X7)
| ~ r1(sK8(X1),X7) )
& r1(X1,sK8(X1)) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f19,f23,f22,f21,f20]) ).
fof(f20,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ? [X4] :
( p2(X4)
& ? [X5] : r1(X4,X5)
& r1(X3,X4) )
| ~ r1(X2,X3) )
& r1(X1,X2) )
=> ( ! [X3] :
( ? [X4] :
( p2(X4)
& ? [X5] : r1(X4,X5)
& r1(X3,X4) )
| ~ r1(sK5(X1),X3) )
& r1(X1,sK5(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X3] :
( ? [X4] :
( p2(X4)
& ? [X5] : r1(X4,X5)
& r1(X3,X4) )
=> ( p2(sK6(X3))
& ? [X5] : r1(sK6(X3),X5)
& r1(X3,sK6(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X3] :
( ? [X5] : r1(sK6(X3),X5)
=> r1(sK6(X3),sK7(X3)) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X1] :
( ? [X6] :
( ! [X7] :
( ~ p2(X7)
| ~ r1(X6,X7) )
& r1(X1,X6) )
=> ( ! [X7] :
( ~ p2(X7)
| ~ r1(sK8(X1),X7) )
& r1(X1,sK8(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ? [X4] :
( p2(X4)
& ? [X5] : r1(X4,X5)
& r1(X3,X4) )
| ~ r1(X2,X3) )
& r1(X1,X2) )
| ? [X6] :
( ! [X7] :
( ~ p2(X7)
| ~ r1(X6,X7) )
& r1(X1,X6) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X16] :
( ! [X21] :
( ? [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] : r1(X24,X25)
& r1(X23,X24) )
| ~ r1(X22,X23) )
& r1(X21,X22) )
| ? [X26] :
( ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
& r1(X21,X26) )
| ~ r1(X16,X21) )
| ~ sP0(X16) ),
inference(nnf_transformation,[],[f9]) ).
fof(f3791,plain,
( r1(sK5(sK18(sK11)),sK20(sK5(sK18(sK11))))
| ~ spl26_46
| ~ spl26_201 ),
inference(resolution,[],[f1657,f375]) ).
fof(f375,plain,
( r1(sK18(sK11),sK5(sK18(sK11)))
| ~ spl26_46 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f1657,plain,
( ! [X1] :
( ~ r1(sK18(sK11),X1)
| r1(X1,sK20(X1)) )
| ~ spl26_201 ),
inference(avatar_component_clause,[],[f1656]) ).
fof(f3787,plain,
( spl26_260
| spl26_47
| spl26_33 ),
inference(avatar_split_clause,[],[f3786,f260,f377,f2184]) ).
fof(f2184,plain,
( spl26_260
<=> ! [X0] :
( ~ r1(sK5(sK18(sK11)),X0)
| r1(X0,sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_260])]) ).
fof(f260,plain,
( spl26_33
<=> r1(sK11,sK17(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_33])]) ).
fof(f3786,plain,
( ! [X0] :
( r1(sK18(sK11),sK8(sK18(sK11)))
| ~ r1(sK5(sK18(sK11)),X0)
| r1(X0,sK6(X0)) )
| spl26_33 ),
inference(subsumption_resolution,[],[f3785,f84]) ).
fof(f3785,plain,
( ! [X0] :
( r1(sK18(sK11),sK8(sK18(sK11)))
| ~ r1(sK5(sK18(sK11)),X0)
| r1(X0,sK6(X0))
| ~ r1(sK9,sK11) )
| spl26_33 ),
inference(subsumption_resolution,[],[f2172,f1080]) ).
fof(f1080,plain,
( ~ r1(sK11,sK17(sK11))
| spl26_33 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f2172,plain,
! [X0] :
( r1(sK18(sK11),sK8(sK18(sK11)))
| ~ r1(sK5(sK18(sK11)),X0)
| r1(X0,sK6(X0))
| r1(sK11,sK17(sK11))
| ~ r1(sK9,sK11) ),
inference(resolution,[],[f653,f71]) ).
fof(f71,plain,
! [X16] :
( r1(X16,sK18(X16))
| r1(X16,sK17(X16))
| ~ r1(sK9,X16) ),
inference(cnf_transformation,[],[f43]) ).
fof(f653,plain,
! [X0,X1] :
( ~ r1(sK11,X0)
| r1(X0,sK8(X0))
| ~ r1(sK5(X0),X1)
| r1(X1,sK6(X1)) ),
inference(resolution,[],[f52,f92]) ).
fof(f52,plain,
! [X3,X0,X1] :
( ~ sP0(X0)
| ~ r1(sK5(X1),X3)
| r1(X1,sK8(X1))
| ~ r1(X0,X1)
| r1(X3,sK6(X3)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f3784,plain,
( ~ spl26_149
| spl26_260
| ~ spl26_47
| ~ spl26_369
| ~ spl26_370 ),
inference(avatar_split_clause,[],[f3783,f3632,f3627,f377,f2184,f1085]) ).
fof(f3627,plain,
( spl26_369
<=> ! [X0] :
( r1(X0,sK3(X0))
| ~ r1(sK18(sK11),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_369])]) ).
fof(f3632,plain,
( spl26_370
<=> ! [X0] :
( p2(sK3(X0))
| ~ r1(sK18(sK11),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_370])]) ).
fof(f3783,plain,
( ! [X0] :
( ~ r1(sK5(sK18(sK11)),X0)
| ~ r1(sK11,sK18(sK11))
| r1(X0,sK6(X0)) )
| ~ spl26_47
| ~ spl26_369
| ~ spl26_370 ),
inference(subsumption_resolution,[],[f3738,f3684]) ).
fof(f3684,plain,
( p2(sK3(sK8(sK18(sK11))))
| ~ spl26_47
| ~ spl26_370 ),
inference(resolution,[],[f3633,f378]) ).
fof(f378,plain,
( r1(sK18(sK11),sK8(sK18(sK11)))
| ~ spl26_47 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f3633,plain,
( ! [X0] :
( ~ r1(sK18(sK11),X0)
| p2(sK3(X0)) )
| ~ spl26_370 ),
inference(avatar_component_clause,[],[f3632]) ).
fof(f3738,plain,
( ! [X0] :
( ~ p2(sK3(sK8(sK18(sK11))))
| ~ r1(sK5(sK18(sK11)),X0)
| ~ r1(sK11,sK18(sK11))
| r1(X0,sK6(X0)) )
| ~ spl26_47
| ~ spl26_369 ),
inference(resolution,[],[f3707,f1182]) ).
fof(f1182,plain,
! [X2,X0,X1] :
( ~ r1(sK8(X0),X2)
| ~ p2(X2)
| ~ r1(sK5(X0),X1)
| ~ r1(sK11,X0)
| r1(X1,sK6(X1)) ),
inference(resolution,[],[f53,f92]) ).
fof(f53,plain,
! [X3,X0,X1,X7] :
( ~ sP0(X0)
| ~ r1(sK5(X1),X3)
| ~ p2(X7)
| ~ r1(sK8(X1),X7)
| ~ r1(X0,X1)
| r1(X3,sK6(X3)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f3707,plain,
( r1(sK8(sK18(sK11)),sK3(sK8(sK18(sK11))))
| ~ spl26_47
| ~ spl26_369 ),
inference(resolution,[],[f3628,f378]) ).
fof(f3628,plain,
( ! [X0] :
( ~ r1(sK18(sK11),X0)
| r1(X0,sK3(X0)) )
| ~ spl26_369 ),
inference(avatar_component_clause,[],[f3627]) ).
fof(f3782,plain,
( spl26_33
| ~ spl26_362 ),
inference(avatar_contradiction_clause,[],[f3781]) ).
fof(f3781,plain,
( $false
| spl26_33
| ~ spl26_362 ),
inference(subsumption_resolution,[],[f3780,f1080]) ).
fof(f3780,plain,
( r1(sK11,sK17(sK11))
| ~ spl26_362 ),
inference(subsumption_resolution,[],[f3779,f84]) ).
fof(f3779,plain,
( ~ r1(sK9,sK11)
| r1(sK11,sK17(sK11))
| ~ spl26_362 ),
inference(duplicate_literal_removal,[],[f3778]) ).
fof(f3778,plain,
( ~ r1(sK9,sK11)
| r1(sK11,sK17(sK11))
| ~ r1(sK9,sK11)
| ~ spl26_362 ),
inference(resolution,[],[f3587,f71]) ).
fof(f3587,plain,
( ! [X1] :
( ~ r1(X1,sK18(sK11))
| ~ r1(sK9,X1) )
| ~ spl26_362 ),
inference(avatar_component_clause,[],[f3586]) ).
fof(f3586,plain,
( spl26_362
<=> ! [X1] :
( ~ r1(X1,sK18(sK11))
| ~ r1(sK9,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_362])]) ).
fof(f3771,plain,
( ~ spl26_149
| ~ spl26_202 ),
inference(avatar_split_clause,[],[f3770,f1659,f1085]) ).
fof(f1659,plain,
( spl26_202
<=> ! [X0] :
( p2(X0)
| ~ r1(sK18(sK11),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_202])]) ).
fof(f3770,plain,
( ~ r1(sK11,sK18(sK11))
| ~ spl26_202 ),
inference(subsumption_resolution,[],[f3762,f86]) ).
fof(f86,plain,
! [X6] :
( ~ p2(sK12(X6))
| ~ r1(sK11,X6) ),
inference(cnf_transformation,[],[f43]) ).
fof(f3762,plain,
( p2(sK12(sK18(sK11)))
| ~ r1(sK11,sK18(sK11))
| ~ spl26_202 ),
inference(resolution,[],[f1660,f85]) ).
fof(f85,plain,
! [X6] :
( r1(X6,sK12(X6))
| ~ r1(sK11,X6) ),
inference(cnf_transformation,[],[f43]) ).
fof(f1660,plain,
( ! [X0] :
( ~ r1(sK18(sK11),X0)
| p2(X0) )
| ~ spl26_202 ),
inference(avatar_component_clause,[],[f1659]) ).
fof(f3748,plain,
( spl26_201
| spl26_202
| ~ spl26_26
| spl26_33 ),
inference(avatar_split_clause,[],[f3747,f260,f213,f1659,f1656]) ).
fof(f213,plain,
( spl26_26
<=> p2(sK18(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_26])]) ).
fof(f3747,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK18(sK11),X0)
| ~ r1(sK18(sK11),X1)
| r1(X1,sK20(X1)) )
| ~ spl26_26
| spl26_33 ),
inference(subsumption_resolution,[],[f3746,f84]) ).
fof(f3746,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK18(sK11),X0)
| ~ r1(sK18(sK11),X1)
| r1(X1,sK20(X1))
| ~ r1(sK9,sK11) )
| ~ spl26_26
| spl26_33 ),
inference(subsumption_resolution,[],[f3745,f1080]) ).
fof(f3745,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK18(sK11),X0)
| ~ r1(sK18(sK11),X1)
| r1(X1,sK20(X1))
| r1(sK11,sK17(sK11))
| ~ r1(sK9,sK11) )
| ~ spl26_26 ),
inference(subsumption_resolution,[],[f1631,f214]) ).
fof(f214,plain,
( p2(sK18(sK11))
| ~ spl26_26 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f1631,plain,
! [X0,X1] :
( ~ p2(sK18(sK11))
| p2(X0)
| ~ r1(sK18(sK11),X0)
| ~ r1(sK18(sK11),X1)
| r1(X1,sK20(X1))
| r1(sK11,sK17(sK11))
| ~ r1(sK9,sK11) ),
inference(resolution,[],[f1184,f71]) ).
fof(f1184,plain,
! [X2,X0,X1] :
( ~ r1(sK11,X0)
| ~ p2(X0)
| p2(X2)
| ~ r1(X0,X2)
| ~ r1(X0,X1)
| r1(X1,sK20(X1)) ),
inference(resolution,[],[f66,f84]) ).
fof(f66,plain,
! [X21,X16,X22,X25] :
( ~ r1(sK9,X16)
| ~ r1(X21,X22)
| ~ p2(X21)
| p2(X25)
| ~ r1(X21,X25)
| ~ r1(X16,X21)
| r1(X22,sK20(X22)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f3744,plain,
( ~ spl26_149
| spl26_345
| ~ spl26_47
| ~ spl26_369
| ~ spl26_370 ),
inference(avatar_split_clause,[],[f3743,f3632,f3627,f377,f2828,f1085]) ).
fof(f2828,plain,
( spl26_345
<=> ! [X0] :
( ~ r1(sK5(sK18(sK11)),X0)
| p2(sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_345])]) ).
fof(f3743,plain,
( ! [X0] :
( ~ r1(sK5(sK18(sK11)),X0)
| ~ r1(sK11,sK18(sK11))
| p2(sK6(X0)) )
| ~ spl26_47
| ~ spl26_369
| ~ spl26_370 ),
inference(subsumption_resolution,[],[f3736,f3684]) ).
fof(f3736,plain,
( ! [X0] :
( ~ p2(sK3(sK8(sK18(sK11))))
| ~ r1(sK5(sK18(sK11)),X0)
| ~ r1(sK11,sK18(sK11))
| p2(sK6(X0)) )
| ~ spl26_47
| ~ spl26_369 ),
inference(resolution,[],[f3707,f1149]) ).
fof(f1149,plain,
! [X2,X0,X1] :
( ~ r1(sK8(X0),X2)
| ~ p2(X2)
| ~ r1(sK5(X0),X1)
| ~ r1(sK11,X0)
| p2(sK6(X1)) ),
inference(resolution,[],[f57,f92]) ).
fof(f57,plain,
! [X3,X0,X1,X7] :
( ~ sP0(X0)
| ~ r1(sK5(X1),X3)
| ~ p2(X7)
| ~ r1(sK8(X1),X7)
| ~ r1(X0,X1)
| p2(sK6(X3)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f3742,plain,
( spl26_46
| ~ spl26_149
| ~ spl26_47
| ~ spl26_369
| ~ spl26_370 ),
inference(avatar_split_clause,[],[f3741,f3632,f3627,f377,f1085,f374]) ).
fof(f3741,plain,
( ~ r1(sK11,sK18(sK11))
| r1(sK18(sK11),sK5(sK18(sK11)))
| ~ spl26_47
| ~ spl26_369
| ~ spl26_370 ),
inference(subsumption_resolution,[],[f3734,f3684]) ).
fof(f3734,plain,
( ~ p2(sK3(sK8(sK18(sK11))))
| ~ r1(sK11,sK18(sK11))
| r1(sK18(sK11),sK5(sK18(sK11)))
| ~ spl26_47
| ~ spl26_369 ),
inference(resolution,[],[f3707,f505]) ).
fof(f505,plain,
! [X0,X1] :
( ~ r1(sK8(X1),X0)
| ~ p2(X0)
| ~ r1(sK11,X1)
| r1(X1,sK5(X1)) ),
inference(resolution,[],[f51,f92]) ).
fof(f51,plain,
! [X0,X1,X7] :
( ~ sP0(X0)
| ~ p2(X7)
| ~ r1(sK8(X1),X7)
| ~ r1(X0,X1)
| r1(X1,sK5(X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f3634,plain,
( spl26_33
| spl26_370
| ~ spl26_63 ),
inference(avatar_split_clause,[],[f3630,f474,f3632,f260]) ).
fof(f474,plain,
( spl26_63
<=> ! [X0,X1] :
( p2(sK3(X0))
| ~ r1(sK11,X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_63])]) ).
fof(f3630,plain,
( ! [X0] :
( p2(sK3(X0))
| ~ r1(sK18(sK11),X0)
| r1(sK11,sK17(sK11)) )
| ~ spl26_63 ),
inference(subsumption_resolution,[],[f1715,f84]) ).
fof(f1715,plain,
( ! [X0] :
( p2(sK3(X0))
| ~ r1(sK18(sK11),X0)
| r1(sK11,sK17(sK11))
| ~ r1(sK9,sK11) )
| ~ spl26_63 ),
inference(resolution,[],[f475,f71]) ).
fof(f475,plain,
( ! [X0,X1] :
( ~ r1(sK11,X1)
| p2(sK3(X0))
| ~ r1(X1,X0) )
| ~ spl26_63 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f3629,plain,
( spl26_33
| spl26_369
| ~ spl26_105 ),
inference(avatar_split_clause,[],[f3625,f740,f3627,f260]) ).
fof(f740,plain,
( spl26_105
<=> ! [X2,X1] :
( r1(X1,sK3(X1))
| ~ r1(sK11,X2)
| ~ r1(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_105])]) ).
fof(f3625,plain,
( ! [X0] :
( r1(X0,sK3(X0))
| ~ r1(sK18(sK11),X0)
| r1(sK11,sK17(sK11)) )
| ~ spl26_105 ),
inference(subsumption_resolution,[],[f1898,f84]) ).
fof(f1898,plain,
( ! [X0] :
( r1(X0,sK3(X0))
| ~ r1(sK18(sK11),X0)
| r1(sK11,sK17(sK11))
| ~ r1(sK9,sK11) )
| ~ spl26_105 ),
inference(resolution,[],[f741,f71]) ).
fof(f741,plain,
( ! [X2,X1] :
( ~ r1(sK11,X2)
| r1(X1,sK3(X1))
| ~ r1(X2,X1) )
| ~ spl26_105 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f3601,plain,
( spl26_46
| ~ spl26_33
| ~ spl26_47
| ~ spl26_63
| ~ spl26_105 ),
inference(avatar_split_clause,[],[f3600,f740,f474,f377,f260,f374]) ).
fof(f3600,plain,
( r1(sK18(sK11),sK5(sK18(sK11)))
| ~ spl26_33
| ~ spl26_47
| ~ spl26_63
| ~ spl26_105 ),
inference(subsumption_resolution,[],[f3599,f1136]) ).
fof(f1136,plain,
( r1(sK11,sK18(sK11))
| ~ spl26_33 ),
inference(subsumption_resolution,[],[f1131,f84]) ).
fof(f1131,plain,
( ~ r1(sK9,sK11)
| r1(sK11,sK18(sK11))
| ~ spl26_33 ),
inference(resolution,[],[f261,f294]) ).
fof(f294,plain,
! [X0] :
( ~ r1(sK11,sK17(X0))
| ~ r1(sK9,X0)
| r1(X0,sK18(X0)) ),
inference(subsumption_resolution,[],[f290,f115]) ).
fof(f115,plain,
! [X0] :
( ~ r1(sK11,X0)
| p2(sK22(X0)) ),
inference(resolution,[],[f64,f84]) ).
fof(f64,plain,
! [X16,X27] :
( ~ r1(sK9,X16)
| ~ r1(X16,X27)
| p2(sK22(X27)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f290,plain,
! [X0] :
( ~ p2(sK22(sK17(X0)))
| r1(X0,sK18(X0))
| ~ r1(sK9,X0)
| ~ r1(sK11,sK17(X0)) ),
inference(resolution,[],[f74,f136]) ).
fof(f136,plain,
! [X0] :
( r1(X0,sK22(X0))
| ~ r1(sK11,X0) ),
inference(resolution,[],[f62,f84]) ).
fof(f62,plain,
! [X16,X27] :
( ~ r1(sK9,X16)
| ~ r1(X16,X27)
| r1(X27,sK22(X27)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f74,plain,
! [X18,X16] :
( ~ r1(sK17(X16),X18)
| ~ p2(X18)
| r1(X16,sK18(X16))
| ~ r1(sK9,X16) ),
inference(cnf_transformation,[],[f43]) ).
fof(f261,plain,
( r1(sK11,sK17(sK11))
| ~ spl26_33 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f3599,plain,
( ~ r1(sK11,sK18(sK11))
| r1(sK18(sK11),sK5(sK18(sK11)))
| ~ spl26_33
| ~ spl26_47
| ~ spl26_63
| ~ spl26_105 ),
inference(subsumption_resolution,[],[f3318,f2647]) ).
fof(f2647,plain,
( p2(sK3(sK8(sK18(sK11))))
| ~ spl26_33
| ~ spl26_47
| ~ spl26_63 ),
inference(resolution,[],[f378,f1711]) ).
fof(f1711,plain,
( ! [X0] :
( ~ r1(sK18(sK11),X0)
| p2(sK3(X0)) )
| ~ spl26_33
| ~ spl26_63 ),
inference(resolution,[],[f475,f1136]) ).
fof(f3318,plain,
( ~ p2(sK3(sK8(sK18(sK11))))
| ~ r1(sK11,sK18(sK11))
| r1(sK18(sK11),sK5(sK18(sK11)))
| ~ spl26_33
| ~ spl26_47
| ~ spl26_105 ),
inference(resolution,[],[f2646,f505]) ).
fof(f2646,plain,
( r1(sK8(sK18(sK11)),sK3(sK8(sK18(sK11))))
| ~ spl26_33
| ~ spl26_47
| ~ spl26_105 ),
inference(resolution,[],[f378,f1894]) ).
fof(f1894,plain,
( ! [X0] :
( ~ r1(sK18(sK11),X0)
| r1(X0,sK3(X0)) )
| ~ spl26_33
| ~ spl26_105 ),
inference(resolution,[],[f741,f1136]) ).
fof(f3593,plain,
( ~ spl26_33
| ~ spl26_362 ),
inference(avatar_contradiction_clause,[],[f3592]) ).
fof(f3592,plain,
( $false
| ~ spl26_33
| ~ spl26_362 ),
inference(subsumption_resolution,[],[f3590,f84]) ).
fof(f3590,plain,
( ~ r1(sK9,sK11)
| ~ spl26_33
| ~ spl26_362 ),
inference(resolution,[],[f3587,f1136]) ).
fof(f3588,plain,
( spl26_362
| spl26_202
| ~ spl26_26
| ~ spl26_46
| ~ spl26_201
| ~ spl26_211
| ~ spl26_260 ),
inference(avatar_split_clause,[],[f3584,f2184,f1811,f1656,f374,f213,f1659,f3586]) ).
fof(f3584,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK18(sK11),X0)
| ~ r1(X1,sK18(sK11))
| ~ r1(sK9,X1) )
| ~ spl26_26
| ~ spl26_46
| ~ spl26_201
| ~ spl26_211
| ~ spl26_260 ),
inference(subsumption_resolution,[],[f3583,f214]) ).
fof(f3583,plain,
( ! [X0,X1] :
( ~ p2(sK18(sK11))
| p2(X0)
| ~ r1(sK18(sK11),X0)
| ~ r1(X1,sK18(sK11))
| ~ r1(sK9,X1) )
| ~ spl26_46
| ~ spl26_201
| ~ spl26_211
| ~ spl26_260 ),
inference(resolution,[],[f3478,f375]) ).
fof(f3478,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,sK5(sK18(sK11)))
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(sK9,X2) )
| ~ spl26_46
| ~ spl26_201
| ~ spl26_211
| ~ spl26_260 ),
inference(subsumption_resolution,[],[f3476,f1812]) ).
fof(f1812,plain,
( p2(sK6(sK20(sK5(sK18(sK11)))))
| ~ spl26_211 ),
inference(avatar_component_clause,[],[f1811]) ).
fof(f3476,plain,
( ! [X2,X0,X1] :
( ~ p2(sK6(sK20(sK5(sK18(sK11)))))
| ~ r1(X0,sK5(sK18(sK11)))
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(sK9,X2) )
| ~ spl26_46
| ~ spl26_201
| ~ spl26_260 ),
inference(resolution,[],[f3350,f68]) ).
fof(f68,plain,
! [X21,X16,X24,X22,X25] :
( ~ r1(sK20(X22),X24)
| ~ p2(X24)
| ~ r1(X21,X22)
| ~ p2(X21)
| p2(X25)
| ~ r1(X21,X25)
| ~ r1(X16,X21)
| ~ r1(sK9,X16) ),
inference(cnf_transformation,[],[f43]) ).
fof(f3350,plain,
( r1(sK20(sK5(sK18(sK11))),sK6(sK20(sK5(sK18(sK11)))))
| ~ spl26_46
| ~ spl26_201
| ~ spl26_260 ),
inference(resolution,[],[f2185,f2786]) ).
fof(f2786,plain,
( r1(sK5(sK18(sK11)),sK20(sK5(sK18(sK11))))
| ~ spl26_46
| ~ spl26_201 ),
inference(resolution,[],[f1657,f375]) ).
fof(f2185,plain,
( ! [X0] :
( ~ r1(sK5(sK18(sK11)),X0)
| r1(X0,sK6(X0)) )
| ~ spl26_260 ),
inference(avatar_component_clause,[],[f2184]) ).
fof(f3348,plain,
( spl26_211
| ~ spl26_46
| ~ spl26_201
| ~ spl26_345 ),
inference(avatar_split_clause,[],[f3341,f2828,f1656,f374,f1811]) ).
fof(f3341,plain,
( p2(sK6(sK20(sK5(sK18(sK11)))))
| ~ spl26_46
| ~ spl26_201
| ~ spl26_345 ),
inference(resolution,[],[f2829,f2786]) ).
fof(f2829,plain,
( ! [X0] :
( ~ r1(sK5(sK18(sK11)),X0)
| p2(sK6(X0)) )
| ~ spl26_345 ),
inference(avatar_component_clause,[],[f2828]) ).
fof(f3334,plain,
( spl26_260
| ~ spl26_33
| ~ spl26_47
| ~ spl26_63
| ~ spl26_105 ),
inference(avatar_split_clause,[],[f3333,f740,f474,f377,f260,f2184]) ).
fof(f3333,plain,
( ! [X0] :
( ~ r1(sK5(sK18(sK11)),X0)
| r1(X0,sK6(X0)) )
| ~ spl26_33
| ~ spl26_47
| ~ spl26_63
| ~ spl26_105 ),
inference(subsumption_resolution,[],[f3332,f1136]) ).
fof(f3332,plain,
( ! [X0] :
( ~ r1(sK5(sK18(sK11)),X0)
| ~ r1(sK11,sK18(sK11))
| r1(X0,sK6(X0)) )
| ~ spl26_33
| ~ spl26_47
| ~ spl26_63
| ~ spl26_105 ),
inference(subsumption_resolution,[],[f3322,f2647]) ).
fof(f3322,plain,
( ! [X0] :
( ~ p2(sK3(sK8(sK18(sK11))))
| ~ r1(sK5(sK18(sK11)),X0)
| ~ r1(sK11,sK18(sK11))
| r1(X0,sK6(X0)) )
| ~ spl26_33
| ~ spl26_47
| ~ spl26_105 ),
inference(resolution,[],[f2646,f1182]) ).
fof(f3329,plain,
( spl26_345
| ~ spl26_33
| ~ spl26_47
| ~ spl26_63
| ~ spl26_105 ),
inference(avatar_split_clause,[],[f3328,f740,f474,f377,f260,f2828]) ).
fof(f3328,plain,
( ! [X0] :
( ~ r1(sK5(sK18(sK11)),X0)
| p2(sK6(X0)) )
| ~ spl26_33
| ~ spl26_47
| ~ spl26_63
| ~ spl26_105 ),
inference(subsumption_resolution,[],[f3327,f1136]) ).
fof(f3327,plain,
( ! [X0] :
( ~ r1(sK5(sK18(sK11)),X0)
| ~ r1(sK11,sK18(sK11))
| p2(sK6(X0)) )
| ~ spl26_33
| ~ spl26_47
| ~ spl26_63
| ~ spl26_105 ),
inference(subsumption_resolution,[],[f3320,f2647]) ).
fof(f3320,plain,
( ! [X0] :
( ~ p2(sK3(sK8(sK18(sK11))))
| ~ r1(sK5(sK18(sK11)),X0)
| ~ r1(sK11,sK18(sK11))
| p2(sK6(X0)) )
| ~ spl26_33
| ~ spl26_47
| ~ spl26_105 ),
inference(resolution,[],[f2646,f1149]) ).
fof(f2186,plain,
( spl26_260
| spl26_47
| ~ spl26_33 ),
inference(avatar_split_clause,[],[f2168,f260,f377,f2184]) ).
fof(f2168,plain,
( ! [X0] :
( r1(sK18(sK11),sK8(sK18(sK11)))
| ~ r1(sK5(sK18(sK11)),X0)
| r1(X0,sK6(X0)) )
| ~ spl26_33 ),
inference(resolution,[],[f653,f1136]) ).
fof(f1813,plain,
( spl26_211
| spl26_47
| ~ spl26_33
| ~ spl26_46
| ~ spl26_201 ),
inference(avatar_split_clause,[],[f1809,f1656,f374,f260,f377,f1811]) ).
fof(f1809,plain,
( r1(sK18(sK11),sK8(sK18(sK11)))
| p2(sK6(sK20(sK5(sK18(sK11)))))
| ~ spl26_33
| ~ spl26_46
| ~ spl26_201 ),
inference(subsumption_resolution,[],[f1807,f1136]) ).
fof(f1807,plain,
( r1(sK18(sK11),sK8(sK18(sK11)))
| ~ r1(sK11,sK18(sK11))
| p2(sK6(sK20(sK5(sK18(sK11)))))
| ~ spl26_46
| ~ spl26_201 ),
inference(resolution,[],[f1686,f566]) ).
fof(f1686,plain,
( r1(sK5(sK18(sK11)),sK20(sK5(sK18(sK11))))
| ~ spl26_46
| ~ spl26_201 ),
inference(resolution,[],[f1657,f375]) ).
fof(f1661,plain,
( spl26_201
| spl26_202
| ~ spl26_26
| ~ spl26_33 ),
inference(avatar_split_clause,[],[f1654,f260,f213,f1659,f1656]) ).
fof(f1654,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK18(sK11),X0)
| ~ r1(sK18(sK11),X1)
| r1(X1,sK20(X1)) )
| ~ spl26_26
| ~ spl26_33 ),
inference(subsumption_resolution,[],[f1627,f214]) ).
fof(f1627,plain,
( ! [X0,X1] :
( ~ p2(sK18(sK11))
| p2(X0)
| ~ r1(sK18(sK11),X0)
| ~ r1(sK18(sK11),X1)
| r1(X1,sK20(X1)) )
| ~ spl26_33 ),
inference(resolution,[],[f1184,f1136]) ).
fof(f1138,plain,
( ~ spl26_33
| spl26_149 ),
inference(avatar_contradiction_clause,[],[f1137]) ).
fof(f1137,plain,
( $false
| ~ spl26_33
| spl26_149 ),
inference(subsumption_resolution,[],[f1136,f1086]) ).
fof(f1086,plain,
( ~ r1(sK11,sK18(sK11))
| spl26_149 ),
inference(avatar_component_clause,[],[f1085]) ).
fof(f1125,plain,
( spl26_33
| spl26_149 ),
inference(avatar_split_clause,[],[f1124,f1085,f260]) ).
fof(f1124,plain,
( r1(sK11,sK17(sK11))
| spl26_149 ),
inference(subsumption_resolution,[],[f1120,f84]) ).
fof(f1120,plain,
( r1(sK11,sK17(sK11))
| ~ r1(sK9,sK11)
| spl26_149 ),
inference(resolution,[],[f1086,f71]) ).
fof(f823,plain,
( ~ spl26_62
| ~ spl26_79 ),
inference(avatar_contradiction_clause,[],[f822]) ).
fof(f822,plain,
( $false
| ~ spl26_62
| ~ spl26_79 ),
inference(subsumption_resolution,[],[f821,f472]) ).
fof(f472,plain,
( r1(sK11,sK2(sK11))
| ~ spl26_62 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f471,plain,
( spl26_62
<=> r1(sK11,sK2(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_62])]) ).
fof(f821,plain,
( ~ r1(sK11,sK2(sK11))
| ~ spl26_62
| ~ spl26_79 ),
inference(subsumption_resolution,[],[f804,f795]) ).
fof(f795,plain,
( p2(sK22(sK2(sK11)))
| ~ spl26_62 ),
inference(resolution,[],[f472,f115]) ).
fof(f804,plain,
( ~ p2(sK22(sK2(sK11)))
| ~ r1(sK11,sK2(sK11))
| ~ spl26_79 ),
inference(resolution,[],[f600,f136]) ).
fof(f600,plain,
( ! [X0] :
( ~ r1(sK2(sK11),X0)
| ~ p2(X0) )
| ~ spl26_79 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f599,plain,
( spl26_79
<=> ! [X0] :
( ~ r1(sK2(sK11),X0)
| ~ p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_79])]) ).
fof(f766,plain,
( spl26_62
| spl26_105 ),
inference(avatar_split_clause,[],[f564,f740,f471]) ).
fof(f564,plain,
! [X0,X1] :
( r1(X0,sK3(X0))
| ~ r1(X1,X0)
| ~ r1(sK11,X1)
| r1(sK11,sK2(sK11)) ),
inference(resolution,[],[f44,f90]) ).
fof(f90,plain,
sP1(sK11),
inference(resolution,[],[f69,f84]) ).
fof(f69,plain,
! [X16] :
( ~ r1(sK9,X16)
| sP1(X16) ),
inference(cnf_transformation,[],[f43]) ).
fof(f44,plain,
! [X3,X0,X4] :
( ~ sP1(X0)
| r1(X4,sK3(X4))
| ~ r1(X3,X4)
| ~ r1(X0,X3)
| r1(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ( ! [X2] :
( ~ p2(X2)
| ~ r1(sK2(X0),X2) )
& r1(X0,sK2(X0)) )
| ! [X3] :
( ! [X4] :
( ( p2(sK3(X4))
& r1(sK3(X4),sK4(X4))
& r1(X4,sK3(X4)) )
| ~ r1(X3,X4) )
| ~ r1(X0,X3) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f13,f16,f15,f14]) ).
fof(f14,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p2(X2)
| ~ r1(sK2(X0),X2) )
& r1(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X4] :
( ? [X5] :
( p2(X5)
& ? [X6] : r1(X5,X6)
& r1(X4,X5) )
=> ( p2(sK3(X4))
& ? [X6] : r1(sK3(X4),X6)
& r1(X4,sK3(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X4] :
( ? [X6] : r1(sK3(X4),X6)
=> r1(sK3(X4),sK4(X4)) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
& r1(X0,X1) )
| ! [X3] :
( ! [X4] :
( ? [X5] :
( p2(X5)
& ? [X6] : r1(X5,X6)
& r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X0,X3) )
| ~ sP1(X0) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
! [X16] :
( ? [X28] :
( ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
& r1(X16,X28) )
| ! [X30] :
( ! [X31] :
( ? [X32] :
( p2(X32)
& ? [X33] : r1(X32,X33)
& r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) )
| ~ sP1(X16) ),
inference(nnf_transformation,[],[f10]) ).
fof(f742,plain,
( spl26_105
| spl26_79 ),
inference(avatar_split_clause,[],[f734,f599,f740]) ).
fof(f734,plain,
! [X2,X0,X1] :
( ~ r1(sK2(sK11),X0)
| r1(X1,sK3(X1))
| ~ r1(X2,X1)
| ~ r1(sK11,X2)
| ~ p2(X0) ),
inference(resolution,[],[f47,f90]) ).
fof(f47,plain,
! [X2,X3,X0,X4] :
( ~ sP1(X0)
| ~ r1(sK2(X0),X2)
| r1(X4,sK3(X4))
| ~ r1(X3,X4)
| ~ r1(X0,X3)
| ~ p2(X2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f601,plain,
( spl26_63
| spl26_79 ),
inference(avatar_split_clause,[],[f593,f599,f474]) ).
fof(f593,plain,
! [X2,X0,X1] :
( ~ r1(sK2(sK11),X0)
| p2(sK3(X1))
| ~ r1(X2,X1)
| ~ r1(sK11,X2)
| ~ p2(X0) ),
inference(resolution,[],[f49,f90]) ).
fof(f49,plain,
! [X2,X3,X0,X4] :
( ~ sP1(X0)
| ~ r1(sK2(X0),X2)
| p2(sK3(X4))
| ~ r1(X3,X4)
| ~ r1(X0,X3)
| ~ p2(X2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f476,plain,
( spl26_62
| spl26_63 ),
inference(avatar_split_clause,[],[f462,f474,f471]) ).
fof(f462,plain,
! [X0,X1] :
( p2(sK3(X0))
| ~ r1(X1,X0)
| ~ r1(sK11,X1)
| r1(sK11,sK2(sK11)) ),
inference(resolution,[],[f46,f90]) ).
fof(f46,plain,
! [X3,X0,X4] :
( ~ sP1(X0)
| p2(sK3(X4))
| ~ r1(X3,X4)
| ~ r1(X0,X3)
| r1(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f394,plain,
( spl26_46
| spl26_47
| ~ spl26_33 ),
inference(avatar_split_clause,[],[f392,f260,f377,f374]) ).
fof(f392,plain,
( r1(sK18(sK11),sK8(sK18(sK11)))
| r1(sK18(sK11),sK5(sK18(sK11)))
| ~ spl26_33 ),
inference(resolution,[],[f384,f301]) ).
fof(f301,plain,
! [X0] :
( ~ r1(sK11,X0)
| r1(X0,sK8(X0))
| r1(X0,sK5(X0)) ),
inference(resolution,[],[f50,f92]) ).
fof(f50,plain,
! [X0,X1] :
( ~ sP0(X0)
| r1(X1,sK8(X1))
| ~ r1(X0,X1)
| r1(X1,sK5(X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f384,plain,
( r1(sK11,sK18(sK11))
| ~ spl26_33 ),
inference(subsumption_resolution,[],[f380,f84]) ).
fof(f380,plain,
( ~ r1(sK9,sK11)
| r1(sK11,sK18(sK11))
| ~ spl26_33 ),
inference(resolution,[],[f261,f294]) ).
fof(f379,plain,
( spl26_33
| spl26_46
| spl26_47 ),
inference(avatar_split_clause,[],[f372,f377,f374,f260]) ).
fof(f372,plain,
( r1(sK18(sK11),sK8(sK18(sK11)))
| r1(sK18(sK11),sK5(sK18(sK11)))
| r1(sK11,sK17(sK11)) ),
inference(subsumption_resolution,[],[f369,f84]) ).
fof(f369,plain,
( r1(sK18(sK11),sK8(sK18(sK11)))
| r1(sK18(sK11),sK5(sK18(sK11)))
| r1(sK11,sK17(sK11))
| ~ r1(sK9,sK11) ),
inference(resolution,[],[f301,f71]) ).
fof(f282,plain,
spl26_26,
inference(avatar_split_clause,[],[f281,f213]) ).
fof(f281,plain,
p2(sK18(sK11)),
inference(subsumption_resolution,[],[f280,f84]) ).
fof(f280,plain,
( ~ r1(sK9,sK11)
| p2(sK18(sK11)) ),
inference(duplicate_literal_removal,[],[f279]) ).
fof(f279,plain,
( ~ r1(sK9,sK11)
| p2(sK18(sK11))
| p2(sK18(sK11))
| ~ r1(sK9,sK11) ),
inference(resolution,[],[f277,f73]) ).
fof(f73,plain,
! [X16] :
( r1(X16,sK17(X16))
| p2(sK18(X16))
| ~ r1(sK9,X16) ),
inference(cnf_transformation,[],[f43]) ).
fof(f277,plain,
! [X0] :
( ~ r1(sK11,sK17(X0))
| ~ r1(sK9,X0)
| p2(sK18(X0)) ),
inference(subsumption_resolution,[],[f274,f115]) ).
fof(f274,plain,
! [X0] :
( ~ p2(sK22(sK17(X0)))
| p2(sK18(X0))
| ~ r1(sK9,X0)
| ~ r1(sK11,sK17(X0)) ),
inference(resolution,[],[f76,f136]) ).
fof(f76,plain,
! [X18,X16] :
( ~ r1(sK17(X16),X18)
| ~ p2(X18)
| p2(sK18(X16))
| ~ r1(sK9,X16) ),
inference(cnf_transformation,[],[f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL652+1.001 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_vampire %s %d SAT
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Jun 22 15:56:39 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.13/0.36 Running first-order model finding
% 0.13/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.42 % (5374)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (5377)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.22/0.42 % (5374)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (5378)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.22/0.42 % (5374)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (5376)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.22/0.42 % (5374)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (5379)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.22/0.42 % (5374)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (5375)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.22/0.42 % (5374)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (5380)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.22/0.42 % (5374)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (5381)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.22/0.43 TRYING [10]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [23]
% 0.22/0.44 TRYING [3]
% 0.22/0.44 TRYING [4]
% 0.22/0.46 TRYING [5]
% 0.22/0.48 % (5379)Instruction limit reached!
% 0.22/0.48 % (5379)------------------------------
% 0.22/0.48 % (5379)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48 % (5379)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48 % (5379)Termination reason: Time limit
% 0.22/0.48 % (5379)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (5379)Memory used [KB]: 2090
% 0.22/0.48 % (5379)Time elapsed: 0.056 s
% 0.22/0.48 % (5379)Instructions burned: 105 (million)
% 0.22/0.48 % (5381)Instruction limit reached!
% 0.22/0.48 % (5381)------------------------------
% 0.22/0.48 % (5381)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48 % (5381)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48 % (5381)Termination reason: Time limit
% 0.22/0.48 % (5381)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (5381)Memory used [KB]: 3274
% 0.22/0.48 % (5381)Time elapsed: 0.065 s
% 0.22/0.48 % (5381)Instructions burned: 115 (million)
% 0.22/0.50 % (5380)First to succeed.
% 0.22/0.50 % (5380)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5374"
% 0.22/0.50 % (5374)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.50 % (5380)Refutation found. Thanks to Tanya!
% 0.22/0.50 % SZS status Theorem for theBenchmark
% 0.22/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.50 % (5380)------------------------------
% 0.22/0.50 % (5380)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.50 % (5380)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.50 % (5380)Termination reason: Refutation
% 0.22/0.50
% 0.22/0.50 % (5380)Memory used [KB]: 2127
% 0.22/0.50 % (5380)Time elapsed: 0.078 s
% 0.22/0.50 % (5380)Instructions burned: 144 (million)
% 0.22/0.50 % (5380)------------------------------
% 0.22/0.50 % (5380)------------------------------
% 0.22/0.50 % (5374)Success in time 0.136 s
%------------------------------------------------------------------------------