TSTP Solution File: LCL652+1.001 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : LCL652+1.001 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% 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 : Mon Jun 24 11:28:16 EDT 2024
% Result : Theorem 1.91s 0.64s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 44
% Syntax : Number of formulae : 178 ( 6 unt; 0 def)
% Number of atoms : 1324 ( 0 equ)
% Maximal formula atoms : 82 ( 7 avg)
% Number of connectives : 2117 ( 971 ~; 751 |; 359 &)
% ( 12 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 13 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 5 con; 0-1 aty)
% Number of variables : 694 ( 519 !; 175 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1210,plain,
$false,
inference(avatar_sat_refutation,[],[f139,f292,f359,f592,f762,f787,f899,f929,f1037,f1046,f1110,f1189,f1209]) ).
fof(f1209,plain,
( ~ spl31_25
| ~ spl31_31 ),
inference(avatar_contradiction_clause,[],[f1208]) ).
fof(f1208,plain,
( $false
| ~ spl31_25
| ~ spl31_31 ),
inference(subsumption_resolution,[],[f1207,f1197]) ).
fof(f1197,plain,
( p2(sK9(sK8(sK22)))
| ~ spl31_25 ),
inference(resolution,[],[f287,f303]) ).
fof(f303,plain,
! [X0] :
( ~ r1(sK22,X0)
| p2(sK9(X0)) ),
inference(resolution,[],[f69,f115]) ).
fof(f115,plain,
sP4(sK22),
inference(resolution,[],[f94,f107]) ).
fof(f107,plain,
r1(sK20,sK22),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ! [X1] :
( ( p1(sK21(X1))
& r1(X1,sK21(X1)) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(sK20,X1) )
& ! [X6] :
( ( ~ p2(sK23(X6))
& r1(X6,sK23(X6)) )
| ~ r1(sK22,X6) )
& r1(sK20,sK22)
& ~ p1(sK25)
& r1(sK24,sK25)
& ! [X11] :
( p1(X11)
| ~ r1(sK26,X11) )
& r1(sK24,sK26)
& r1(sK20,sK24)
& ! [X12] :
( ( ~ p1(sK27(X12))
& r1(X12,sK27(X12)) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(sK20,X12) )
& ! [X16] :
( ( ( ( ! [X18] :
( ~ p2(X18)
| ~ r1(sK28(X16),X18) )
& r1(X16,sK28(X16)) )
| sP2(X16) )
& sP6(X16)
& sP5(X16)
& sP3(X16)
& sP4(X16) )
| ~ r1(sK20,X16) )
& ! [X19] :
( ( ! [X21] :
( ~ p1(X21)
| ~ r1(sK29(X19),X21) )
& r1(X19,sK29(X19)) )
| ! [X22] :
( ! [X23] :
( ( p1(sK30(X23))
& r1(X23,sK30(X23)) )
| ~ r1(X22,X23) )
| ~ r1(X19,X22) )
| ~ r1(sK20,X19) )
& ! [X25] :
( ~ p4(X25)
| ~ r1(sK20,X25) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30])],[f49,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50]) ).
fof(f50,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) )
| sP2(X16) )
& sP6(X16)
& sP5(X16)
& sP3(X16)
& sP4(X16) )
| ~ r1(X0,X16) )
& ! [X19] :
( ? [X20] :
( ! [X21] :
( ~ p1(X21)
| ~ r1(X20,X21) )
& r1(X19,X20) )
| ! [X22] :
( ! [X23] :
( ? [X24] :
( p1(X24)
& r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X19,X22) )
| ~ r1(X0,X19) )
& ! [X25] :
( ~ p4(X25)
| ~ r1(X0,X25) ) )
=> ( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(sK20,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(sK20,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(sK20,X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(sK20,X12) )
& ! [X16] :
( ( ( ? [X17] :
( ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
& r1(X16,X17) )
| sP2(X16) )
& sP6(X16)
& sP5(X16)
& sP3(X16)
& sP4(X16) )
| ~ r1(sK20,X16) )
& ! [X19] :
( ? [X20] :
( ! [X21] :
( ~ p1(X21)
| ~ r1(X20,X21) )
& r1(X19,X20) )
| ! [X22] :
( ! [X23] :
( ? [X24] :
( p1(X24)
& r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X19,X22) )
| ~ r1(sK20,X19) )
& ! [X25] :
( ~ p4(X25)
| ~ r1(sK20,X25) ) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
=> ( p1(sK21(X1))
& r1(X1,sK21(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
( ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(sK20,X5) )
=> ( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(sK22,X6) )
& r1(sK20,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
=> ( ~ p2(sK23(X6))
& r1(X6,sK23(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
( ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(sK20,X8) )
=> ( ? [X9] :
( ~ p1(X9)
& r1(sK24,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(sK24,X10) )
& r1(sK20,sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
( ? [X9] :
( ~ p1(X9)
& r1(sK24,X9) )
=> ( ~ p1(sK25)
& r1(sK24,sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(sK24,X10) )
=> ( ! [X11] :
( p1(X11)
| ~ r1(sK26,X11) )
& r1(sK24,sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
=> ( ~ p1(sK27(X12))
& r1(X12,sK27(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X16] :
( ? [X17] :
( ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
& r1(X16,X17) )
=> ( ! [X18] :
( ~ p2(X18)
| ~ r1(sK28(X16),X18) )
& r1(X16,sK28(X16)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X19] :
( ? [X20] :
( ! [X21] :
( ~ p1(X21)
| ~ r1(X20,X21) )
& r1(X19,X20) )
=> ( ! [X21] :
( ~ p1(X21)
| ~ r1(sK29(X19),X21) )
& r1(X19,sK29(X19)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X23] :
( ? [X24] :
( p1(X24)
& r1(X23,X24) )
=> ( p1(sK30(X23))
& r1(X23,sK30(X23)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,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) )
| sP2(X16) )
& sP6(X16)
& sP5(X16)
& sP3(X16)
& sP4(X16) )
| ~ r1(X0,X16) )
& ! [X19] :
( ? [X20] :
( ! [X21] :
( ~ p1(X21)
| ~ r1(X20,X21) )
& r1(X19,X20) )
| ! [X22] :
( ! [X23] :
( ? [X24] :
( p1(X24)
& r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X19,X22) )
| ~ r1(X0,X19) )
& ! [X25] :
( ~ p4(X25)
| ~ r1(X0,X25) ) ),
inference(rectify,[],[f14]) ).
fof(f14,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) )
| sP2(X16) )
& sP6(X16)
& sP5(X16)
& sP3(X16)
& sP4(X16) )
| ~ 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(definition_folding,[],[f6,f13,f12,f11,f10,f9,f8,f7]) ).
fof(f7,plain,
! [X16] :
( ! [X30] :
( ! [X31] :
( ? [X32] :
( p2(X32)
& ? [X33] :
( ~ p3(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) )
| ~ sP0(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,plain,
! [X21] :
( ? [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p3(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| ~ r1(X22,X23) )
& r1(X21,X22) )
| ~ sP1(X21) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f9,plain,
! [X16] :
( ? [X19] :
( p2(X19)
& ? [X20] :
( ~ p3(X20)
& r1(X19,X20) )
& r1(X16,X19) )
| ~ sP2(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f10,plain,
! [X16] :
( ! [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) )
| ~ sP3(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f11,plain,
! [X16] :
( ! [X40] :
( ? [X41] :
( p2(X41)
& ? [X42] :
( ~ p3(X42)
& r1(X41,X42) )
& r1(X40,X41) )
| ~ r1(X16,X40) )
| ~ sP4(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f12,plain,
! [X16] :
( ? [X28] :
( ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
& r1(X16,X28) )
| sP0(X16)
| ~ sP5(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f13,plain,
! [X16] :
( ! [X21] :
( sP1(X21)
| ? [X26] :
( ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
& r1(X21,X26) )
| ~ r1(X16,X21) )
| ~ sP6(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
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] :
( ~ 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,[],[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] :
( ~ 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(ennf_transformation,[],[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(f94,plain,
! [X16] :
( ~ r1(sK20,X16)
| sP4(X16) ),
inference(cnf_transformation,[],[f61]) ).
fof(f69,plain,
! [X0,X1] :
( ~ sP4(X0)
| ~ r1(X0,X1)
| p2(sK9(X1)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( ( p2(sK9(X1))
& ~ p3(sK10(X1))
& r1(sK9(X1),sK10(X1))
& r1(X1,sK9(X1)) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f24,f26,f25]) ).
fof(f25,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p3(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK9(X1))
& ? [X3] :
( ~ p3(X3)
& r1(sK9(X1),X3) )
& r1(X1,sK9(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X1] :
( ? [X3] :
( ~ p3(X3)
& r1(sK9(X1),X3) )
=> ( ~ p3(sK10(X1))
& r1(sK9(X1),sK10(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p3(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X16] :
( ! [X40] :
( ? [X41] :
( p2(X41)
& ? [X42] :
( ~ p3(X42)
& r1(X41,X42) )
& r1(X40,X41) )
| ~ r1(X16,X40) )
| ~ sP4(X16) ),
inference(nnf_transformation,[],[f11]) ).
fof(f287,plain,
( r1(sK22,sK8(sK22))
| ~ spl31_25 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f285,plain,
( spl31_25
<=> r1(sK22,sK8(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_25])]) ).
fof(f1207,plain,
( ~ p2(sK9(sK8(sK22)))
| ~ spl31_25
| ~ spl31_31 ),
inference(resolution,[],[f1198,f358]) ).
fof(f358,plain,
( ! [X0] :
( ~ r1(sK8(sK22),X0)
| ~ p2(X0) )
| ~ spl31_31 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f357,plain,
( spl31_31
<=> ! [X0] :
( ~ r1(sK8(sK22),X0)
| ~ p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_31])]) ).
fof(f1198,plain,
( r1(sK8(sK22),sK9(sK8(sK22)))
| ~ spl31_25 ),
inference(resolution,[],[f287,f314]) ).
fof(f314,plain,
! [X0] :
( ~ r1(sK22,X0)
| r1(X0,sK9(X0)) ),
inference(resolution,[],[f66,f115]) ).
fof(f66,plain,
! [X0,X1] :
( ~ sP4(X0)
| ~ r1(X0,X1)
| r1(X1,sK9(X1)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f1189,plain,
( ~ spl31_3
| ~ spl31_26
| spl31_46
| ~ spl31_47 ),
inference(avatar_contradiction_clause,[],[f1188]) ).
fof(f1188,plain,
( $false
| ~ spl31_3
| ~ spl31_26
| spl31_46
| ~ spl31_47 ),
inference(subsumption_resolution,[],[f1187,f1153]) ).
fof(f1153,plain,
( p2(sK18(sK7(sK13(sK22))))
| ~ spl31_3
| ~ spl31_26
| ~ spl31_47 ),
inference(resolution,[],[f1119,f591]) ).
fof(f591,plain,
( r1(sK13(sK22),sK7(sK13(sK22)))
| ~ spl31_47 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f589,plain,
( spl31_47
<=> r1(sK13(sK22),sK7(sK13(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_47])]) ).
fof(f1119,plain,
( ! [X0] :
( ~ r1(sK13(sK22),X0)
| p2(sK18(X0)) )
| ~ spl31_3
| ~ spl31_26 ),
inference(resolution,[],[f1111,f407]) ).
fof(f407,plain,
( ! [X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| p2(sK18(X1)) )
| ~ spl31_26 ),
inference(resolution,[],[f88,f291]) ).
fof(f291,plain,
( sP0(sK22)
| ~ spl31_26 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl31_26
<=> sP0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_26])]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(sK18(X2)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK18(X2))
& ~ p3(sK19(X2))
& r1(sK18(X2),sK19(X2))
& r1(X2,sK18(X2)) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19])],[f45,f47,f46]) ).
fof(f46,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p3(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p2(sK18(X2))
& ? [X4] :
( ~ p3(X4)
& r1(sK18(X2),X4) )
& r1(X2,sK18(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X2] :
( ? [X4] :
( ~ p3(X4)
& r1(sK18(X2),X4) )
=> ( ~ p3(sK19(X2))
& r1(sK18(X2),sK19(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p3(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X16] :
( ! [X30] :
( ! [X31] :
( ? [X32] :
( p2(X32)
& ? [X33] :
( ~ p3(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) )
| ~ sP0(X16) ),
inference(nnf_transformation,[],[f7]) ).
fof(f1111,plain,
( r1(sK22,sK13(sK22))
| ~ spl31_3 ),
inference(resolution,[],[f135,f76]) ).
fof(f76,plain,
! [X0] :
( ~ sP2(X0)
| r1(X0,sK13(X0)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ( p2(sK13(X0))
& ~ p3(sK14(X0))
& r1(sK13(X0),sK14(X0))
& r1(X0,sK13(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f34,f36,f35]) ).
fof(f35,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p3(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( p2(sK13(X0))
& ? [X2] :
( ~ p3(X2)
& r1(sK13(X0),X2) )
& r1(X0,sK13(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0] :
( ? [X2] :
( ~ p3(X2)
& r1(sK13(X0),X2) )
=> ( ~ p3(sK14(X0))
& r1(sK13(X0),sK14(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p3(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| ~ sP2(X0) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X16] :
( ? [X19] :
( p2(X19)
& ? [X20] :
( ~ p3(X20)
& r1(X19,X20) )
& r1(X16,X19) )
| ~ sP2(X16) ),
inference(nnf_transformation,[],[f9]) ).
fof(f135,plain,
( sP2(sK22)
| ~ spl31_3 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl31_3
<=> sP2(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_3])]) ).
fof(f1187,plain,
( ~ p2(sK18(sK7(sK13(sK22))))
| ~ spl31_3
| ~ spl31_26
| spl31_46
| ~ spl31_47 ),
inference(resolution,[],[f1171,f1127]) ).
fof(f1127,plain,
( ! [X0] :
( ~ r1(sK7(sK13(sK22)),X0)
| ~ p2(X0) )
| ~ spl31_3
| spl31_46 ),
inference(subsumption_resolution,[],[f1121,f586]) ).
fof(f586,plain,
( ~ sP1(sK13(sK22))
| spl31_46 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f585,plain,
( spl31_46
<=> sP1(sK13(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_46])]) ).
fof(f1121,plain,
( ! [X0] :
( ~ r1(sK7(sK13(sK22)),X0)
| ~ p2(X0)
| sP1(sK13(sK22)) )
| ~ spl31_3 ),
inference(resolution,[],[f1111,f416]) ).
fof(f416,plain,
! [X0,X1] :
( ~ r1(sK22,X1)
| ~ r1(sK7(X1),X0)
| ~ p2(X0)
| sP1(X1) ),
inference(resolution,[],[f63,f121]) ).
fof(f121,plain,
sP6(sK22),
inference(resolution,[],[f97,f107]) ).
fof(f97,plain,
! [X16] :
( ~ r1(sK20,X16)
| sP6(X16) ),
inference(cnf_transformation,[],[f61]) ).
fof(f63,plain,
! [X3,X0,X1] :
( ~ sP6(X0)
| ~ p2(X3)
| ~ r1(sK7(X1),X3)
| ~ r1(X0,X1)
| sP1(X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( ! [X1] :
( sP1(X1)
| ( ! [X3] :
( ~ p2(X3)
| ~ r1(sK7(X1),X3) )
& r1(X1,sK7(X1)) )
| ~ r1(X0,X1) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f16,f17]) ).
fof(f17,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ~ r1(X2,X3) )
& r1(X1,X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ~ r1(sK7(X1),X3) )
& r1(X1,sK7(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0] :
( ! [X1] :
( sP1(X1)
| ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ~ r1(X2,X3) )
& r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP6(X0) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X16] :
( ! [X21] :
( sP1(X21)
| ? [X26] :
( ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
& r1(X21,X26) )
| ~ r1(X16,X21) )
| ~ sP6(X16) ),
inference(nnf_transformation,[],[f13]) ).
fof(f1171,plain,
( r1(sK7(sK13(sK22)),sK18(sK7(sK13(sK22))))
| ~ spl31_3
| ~ spl31_26
| ~ spl31_47 ),
inference(resolution,[],[f1120,f591]) ).
fof(f1120,plain,
( ! [X0] :
( ~ r1(sK13(sK22),X0)
| r1(X0,sK18(X0)) )
| ~ spl31_3
| ~ spl31_26 ),
inference(resolution,[],[f1111,f414]) ).
fof(f414,plain,
( ! [X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| r1(X1,sK18(X1)) )
| ~ spl31_26 ),
inference(resolution,[],[f85,f291]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X2,sK18(X2)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f1110,plain,
( ~ spl31_4
| ~ spl31_94 ),
inference(avatar_contradiction_clause,[],[f1109]) ).
fof(f1109,plain,
( $false
| ~ spl31_4
| ~ spl31_94 ),
inference(subsumption_resolution,[],[f1108,f1052]) ).
fof(f1052,plain,
( p2(sK9(sK28(sK22)))
| ~ spl31_94 ),
inference(resolution,[],[f1045,f303]) ).
fof(f1045,plain,
( r1(sK22,sK28(sK22))
| ~ spl31_94 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1043,plain,
( spl31_94
<=> r1(sK22,sK28(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_94])]) ).
fof(f1108,plain,
( ~ p2(sK9(sK28(sK22)))
| ~ spl31_4
| ~ spl31_94 ),
inference(resolution,[],[f1053,f138]) ).
fof(f138,plain,
( ! [X0] :
( ~ r1(sK28(sK22),X0)
| ~ p2(X0) )
| ~ spl31_4 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl31_4
<=> ! [X0] :
( ~ r1(sK28(sK22),X0)
| ~ p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_4])]) ).
fof(f1053,plain,
( r1(sK28(sK22),sK9(sK28(sK22)))
| ~ spl31_94 ),
inference(resolution,[],[f1045,f314]) ).
fof(f1046,plain,
( spl31_94
| spl31_3 ),
inference(avatar_split_clause,[],[f171,f133,f1043]) ).
fof(f171,plain,
( sP2(sK22)
| r1(sK22,sK28(sK22)) ),
inference(resolution,[],[f98,f107]) ).
fof(f98,plain,
! [X16] :
( ~ r1(sK20,X16)
| sP2(X16)
| r1(X16,sK28(X16)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f1037,plain,
( ~ spl31_46
| ~ spl31_76
| ~ spl31_91 ),
inference(avatar_contradiction_clause,[],[f1036]) ).
fof(f1036,plain,
( $false
| ~ spl31_46
| ~ spl31_76
| ~ spl31_91 ),
inference(subsumption_resolution,[],[f1035,f968]) ).
fof(f968,plain,
( p2(sK16(sK11(sK15(sK13(sK22)))))
| ~ spl31_46
| ~ spl31_91 ),
inference(resolution,[],[f952,f617]) ).
fof(f617,plain,
( ! [X0] :
( ~ r1(sK15(sK13(sK22)),X0)
| p2(sK16(X0)) )
| ~ spl31_46 ),
inference(resolution,[],[f587,f84]) ).
fof(f84,plain,
! [X2,X0] :
( ~ sP1(X0)
| ~ r1(sK15(X0),X2)
| p2(sK16(X2)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ( ! [X2] :
( ( p2(sK16(X2))
& ~ p3(sK17(X2))
& r1(sK16(X2),sK17(X2))
& r1(X2,sK16(X2)) )
| ~ r1(sK15(X0),X2) )
& r1(X0,sK15(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17])],[f39,f42,f41,f40]) ).
fof(f40,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p3(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| ~ r1(X1,X2) )
& r1(X0,X1) )
=> ( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p3(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| ~ r1(sK15(X0),X2) )
& r1(X0,sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p3(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p2(sK16(X2))
& ? [X4] :
( ~ p3(X4)
& r1(sK16(X2),X4) )
& r1(X2,sK16(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X2] :
( ? [X4] :
( ~ p3(X4)
& r1(sK16(X2),X4) )
=> ( ~ p3(sK17(X2))
& r1(sK16(X2),sK17(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p3(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| ~ r1(X1,X2) )
& r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X21] :
( ? [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p3(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| ~ r1(X22,X23) )
& r1(X21,X22) )
| ~ sP1(X21) ),
inference(nnf_transformation,[],[f8]) ).
fof(f587,plain,
( sP1(sK13(sK22))
| ~ spl31_46 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f952,plain,
( r1(sK15(sK13(sK22)),sK11(sK15(sK13(sK22))))
| ~ spl31_46
| ~ spl31_91 ),
inference(resolution,[],[f928,f618]) ).
fof(f618,plain,
( r1(sK13(sK22),sK15(sK13(sK22)))
| ~ spl31_46 ),
inference(resolution,[],[f587,f80]) ).
fof(f80,plain,
! [X0] :
( ~ sP1(X0)
| r1(X0,sK15(X0)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f928,plain,
( ! [X1] :
( ~ r1(sK13(sK22),X1)
| r1(X1,sK11(X1)) )
| ~ spl31_91 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f927,plain,
( spl31_91
<=> ! [X1] :
( ~ r1(sK13(sK22),X1)
| r1(X1,sK11(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_91])]) ).
fof(f1035,plain,
( ~ p2(sK16(sK11(sK15(sK13(sK22)))))
| ~ spl31_46
| ~ spl31_76
| ~ spl31_91 ),
inference(resolution,[],[f1017,f1005]) ).
fof(f1005,plain,
( ! [X0] :
( ~ r1(sK11(sK15(sK13(sK22))),X0)
| ~ p2(X0) )
| ~ spl31_46
| ~ spl31_76 ),
inference(resolution,[],[f761,f618]) ).
fof(f761,plain,
( ! [X2,X0] :
( ~ r1(sK13(sK22),X0)
| ~ p2(X2)
| ~ r1(sK11(X0),X2) )
| ~ spl31_76 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f760,plain,
( spl31_76
<=> ! [X2,X0] :
( ~ r1(sK13(sK22),X0)
| ~ p2(X2)
| ~ r1(sK11(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_76])]) ).
fof(f1017,plain,
( r1(sK11(sK15(sK13(sK22))),sK16(sK11(sK15(sK13(sK22)))))
| ~ spl31_46
| ~ spl31_91 ),
inference(resolution,[],[f616,f952]) ).
fof(f616,plain,
( ! [X0] :
( ~ r1(sK15(sK13(sK22)),X0)
| r1(X0,sK16(X0)) )
| ~ spl31_46 ),
inference(resolution,[],[f587,f81]) ).
fof(f81,plain,
! [X2,X0] :
( ~ sP1(X0)
| ~ r1(sK15(X0),X2)
| r1(X2,sK16(X2)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f929,plain,
( spl31_91
| spl31_74
| ~ spl31_3
| ~ spl31_75 ),
inference(avatar_split_clause,[],[f925,f756,f133,f753,f927]) ).
fof(f753,plain,
( spl31_74
<=> ! [X1] :
( p2(X1)
| ~ r1(sK13(sK22),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_74])]) ).
fof(f756,plain,
( spl31_75
<=> p2(sK13(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_75])]) ).
fof(f925,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK13(sK22),X0)
| ~ r1(sK13(sK22),X1)
| r1(X1,sK11(X1)) )
| ~ spl31_3
| ~ spl31_75 ),
inference(subsumption_resolution,[],[f923,f757]) ).
fof(f757,plain,
( p2(sK13(sK22))
| ~ spl31_75 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f923,plain,
( ! [X0,X1] :
( ~ p2(sK13(sK22))
| p2(X0)
| ~ r1(sK13(sK22),X0)
| ~ r1(sK13(sK22),X1)
| r1(X1,sK11(X1)) )
| ~ spl31_3 ),
inference(resolution,[],[f446,f233]) ).
fof(f233,plain,
( r1(sK22,sK13(sK22))
| ~ spl31_3 ),
inference(resolution,[],[f76,f135]) ).
fof(f446,plain,
! [X2,X0,X1] :
( ~ r1(sK22,X0)
| ~ p2(X0)
| p2(X2)
| ~ r1(X0,X2)
| ~ r1(X0,X1)
| r1(X1,sK11(X1)) ),
inference(resolution,[],[f72,f117]) ).
fof(f117,plain,
sP3(sK22),
inference(resolution,[],[f95,f107]) ).
fof(f95,plain,
! [X16] :
( ~ r1(sK20,X16)
| sP3(X16) ),
inference(cnf_transformation,[],[f61]) ).
fof(f72,plain,
! [X2,X0,X1,X5] :
( ~ sP3(X0)
| ~ r1(X1,X2)
| ~ p2(X1)
| p2(X5)
| ~ r1(X1,X5)
| ~ r1(X0,X1)
| r1(X2,sK11(X2)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ! [X4] :
( ~ p2(X4)
| ~ r1(sK11(X2),X4) )
& r1(X2,sK11(X2)) )
| ~ r1(X1,X2) )
| ~ p2(X1)
| ! [X5] :
( ( p2(X5)
& ~ p3(sK12(X5))
& r1(X5,sK12(X5)) )
| ~ r1(X1,X5) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f29,f31,f30]) ).
fof(f30,plain,
! [X2] :
( ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ~ r1(X3,X4) )
& r1(X2,X3) )
=> ( ! [X4] :
( ~ p2(X4)
| ~ r1(sK11(X2),X4) )
& r1(X2,sK11(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X5] :
( ? [X6] :
( ~ p3(X6)
& r1(X5,X6) )
=> ( ~ p3(sK12(X5))
& r1(X5,sK12(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ~ r1(X3,X4) )
& r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ p2(X1)
| ! [X5] :
( ( p2(X5)
& ? [X6] :
( ~ p3(X6)
& r1(X5,X6) ) )
| ~ r1(X1,X5) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X16] :
( ! [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) )
| ~ sP3(X16) ),
inference(nnf_transformation,[],[f10]) ).
fof(f899,plain,
( ~ spl31_3
| ~ spl31_74 ),
inference(avatar_contradiction_clause,[],[f898]) ).
fof(f898,plain,
( $false
| ~ spl31_3
| ~ spl31_74 ),
inference(subsumption_resolution,[],[f897,f233]) ).
fof(f897,plain,
( ~ r1(sK22,sK13(sK22))
| ~ spl31_3
| ~ spl31_74 ),
inference(resolution,[],[f892,f109]) ).
fof(f109,plain,
! [X6] :
( ~ p2(sK23(X6))
| ~ r1(sK22,X6) ),
inference(cnf_transformation,[],[f61]) ).
fof(f892,plain,
( p2(sK23(sK13(sK22)))
| ~ spl31_3
| ~ spl31_74 ),
inference(resolution,[],[f754,f250]) ).
fof(f250,plain,
( r1(sK13(sK22),sK23(sK13(sK22)))
| ~ spl31_3 ),
inference(resolution,[],[f233,f108]) ).
fof(f108,plain,
! [X6] :
( ~ r1(sK22,X6)
| r1(X6,sK23(X6)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f754,plain,
( ! [X1] :
( ~ r1(sK13(sK22),X1)
| p2(X1) )
| ~ spl31_74 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f787,plain,
( ~ spl31_3
| spl31_75 ),
inference(avatar_contradiction_clause,[],[f786]) ).
fof(f786,plain,
( $false
| ~ spl31_3
| spl31_75 ),
inference(subsumption_resolution,[],[f785,f135]) ).
fof(f785,plain,
( ~ sP2(sK22)
| spl31_75 ),
inference(resolution,[],[f758,f79]) ).
fof(f79,plain,
! [X0] :
( p2(sK13(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f758,plain,
( ~ p2(sK13(sK22))
| spl31_75 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f762,plain,
( spl31_74
| ~ spl31_75
| spl31_76
| ~ spl31_3 ),
inference(avatar_split_clause,[],[f738,f133,f760,f756,f753]) ).
fof(f738,plain,
( ! [X2,X0,X1] :
( ~ r1(sK13(sK22),X0)
| ~ p2(sK13(sK22))
| p2(X1)
| ~ r1(sK13(sK22),X1)
| ~ r1(sK11(X0),X2)
| ~ p2(X2) )
| ~ spl31_3 ),
inference(resolution,[],[f526,f233]) ).
fof(f526,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK22,X2)
| ~ r1(X2,X0)
| ~ p2(X2)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(sK11(X0),X1)
| ~ p2(X1) ),
inference(resolution,[],[f75,f117]) ).
fof(f75,plain,
! [X2,X0,X1,X4,X5] :
( ~ sP3(X0)
| ~ r1(sK11(X2),X4)
| ~ r1(X1,X2)
| ~ p2(X1)
| p2(X5)
| ~ r1(X1,X5)
| ~ r1(X0,X1)
| ~ p2(X4) ),
inference(cnf_transformation,[],[f32]) ).
fof(f592,plain,
( spl31_46
| spl31_47
| ~ spl31_3 ),
inference(avatar_split_clause,[],[f572,f133,f589,f585]) ).
fof(f572,plain,
( r1(sK13(sK22),sK7(sK13(sK22)))
| sP1(sK13(sK22))
| ~ spl31_3 ),
inference(resolution,[],[f396,f233]) ).
fof(f396,plain,
! [X0] :
( ~ r1(sK22,X0)
| r1(X0,sK7(X0))
| sP1(X0) ),
inference(resolution,[],[f62,f121]) ).
fof(f62,plain,
! [X0,X1] :
( ~ sP6(X0)
| r1(X1,sK7(X1))
| ~ r1(X0,X1)
| sP1(X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f359,plain,
( spl31_26
| spl31_31 ),
inference(avatar_split_clause,[],[f351,f357,f289]) ).
fof(f351,plain,
! [X0] :
( ~ r1(sK8(sK22),X0)
| sP0(sK22)
| ~ p2(X0) ),
inference(resolution,[],[f65,f119]) ).
fof(f119,plain,
sP5(sK22),
inference(resolution,[],[f96,f107]) ).
fof(f96,plain,
! [X16] :
( ~ r1(sK20,X16)
| sP5(X16) ),
inference(cnf_transformation,[],[f61]) ).
fof(f65,plain,
! [X2,X0] :
( ~ sP5(X0)
| ~ r1(sK8(X0),X2)
| sP0(X0)
| ~ p2(X2) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ( ! [X2] :
( ~ p2(X2)
| ~ r1(sK8(X0),X2) )
& r1(X0,sK8(X0)) )
| sP0(X0)
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f20,f21]) ).
fof(f21,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p2(X2)
| ~ r1(sK8(X0),X2) )
& r1(X0,sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
& r1(X0,X1) )
| sP0(X0)
| ~ sP5(X0) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X16] :
( ? [X28] :
( ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
& r1(X16,X28) )
| sP0(X16)
| ~ sP5(X16) ),
inference(nnf_transformation,[],[f12]) ).
fof(f292,plain,
( spl31_25
| spl31_26 ),
inference(avatar_split_clause,[],[f274,f289,f285]) ).
fof(f274,plain,
( sP0(sK22)
| r1(sK22,sK8(sK22)) ),
inference(resolution,[],[f64,f119]) ).
fof(f64,plain,
! [X0] :
( ~ sP5(X0)
| sP0(X0)
| r1(X0,sK8(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f139,plain,
( spl31_3
| spl31_4 ),
inference(avatar_split_clause,[],[f123,f137,f133]) ).
fof(f123,plain,
! [X0] :
( ~ r1(sK28(sK22),X0)
| sP2(sK22)
| ~ p2(X0) ),
inference(resolution,[],[f99,f107]) ).
fof(f99,plain,
! [X18,X16] :
( ~ r1(sK20,X16)
| ~ r1(sK28(X16),X18)
| sP2(X16)
| ~ p2(X18) ),
inference(cnf_transformation,[],[f61]) ).
%------------------------------------------------------------------------------
%----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 THM
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jun 22 15:56:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_NEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.42 % (22292)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (22298)lrs+10_8:1_to=lpo:drc=encompass:sil=4000:sos=on:urr=on:newcnf=on:i=116:sd=2:nm=2:ss=axioms:sgt=32:sup=off:bd=off_0 on theBenchmark for (2999ds/116Mi)
% 0.22/0.42 % (22292)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (22296)lrs+21_8:1_to=lpo:sil=2000:sp=frequency:spb=units:s2a=on:s2pl=no:i=103:sd=2:ss=included:fsr=off:fs=off_0 on theBenchmark for (2999ds/103Mi)
% 0.22/0.42 % (22292)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (22295)dis+1002_1:1_tgt=full:sos=on:rp=on:sac=on:i=258102:ss=axioms:sd=3:cond=fast:add=off:abs=on:fde=none:sil=256000_0 on theBenchmark for (2999ds/258102Mi)
% 0.22/0.42 % (22292)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (22299)lrs+1011_1:13_sil=2000:tgt=full:sims=off:sp=occurrence:abs=on:newcnf=on:i=104:nm=4:ss=axioms:rawr=on:amm=off_0 on theBenchmark for (2999ds/104Mi)
% 0.22/0.42 % (22292)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (22294)lrs+1011_4:1_sil=256000:rp=on:newcnf=on:i=257909:aac=none:gsp=on_0 on theBenchmark for (2999ds/257909Mi)
% 0.22/0.42 % (22292)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (22297)lrs+1011_4:1_to=lpo:drc=off:sil=8000:sp=frequency:abs=on:urr=on:lsd=10:nwc=5.0:s2agt=4:newcnf=on:st=5.0:s2a=on:i=107:ss=axioms:aac=none:br=off:bd=preordered_0 on theBenchmark for (2999ds/107Mi)
% 0.22/0.43 % (22297)Refutation not found, incomplete strategy% (22297)------------------------------
% 0.22/0.43 % (22297)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43 % (22297)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43 % (22297)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43 % (22297)Memory used [KB]: 1192
% 0.22/0.43 % (22297)Time elapsed: 0.008 s
% 0.22/0.43 % (22297)Instructions burned: 11 (million)
% 0.22/0.43 % (22297)------------------------------
% 0.22/0.43 % (22297)------------------------------
% 0.22/0.43 % (22292)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (22293)lrs+21_1:32_anc=all:to=lpo:sil=256000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:plsql=on:sac=on:newcnf=on:i=222662:add=off:fsr=off:rawr=on_0 on theBenchmark for (2999ds/222662Mi)
% 0.22/0.46 % (22299)Instruction limit reached!
% 0.22/0.46 % (22299)------------------------------
% 0.22/0.46 % (22299)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.46 % (22299)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.46 % (22299)Termination reason: Time limit
% 0.22/0.46 % (22299)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (22299)Memory used [KB]: 1941
% 0.22/0.46 % (22299)Time elapsed: 0.047 s
% 0.22/0.46 % (22299)Instructions burned: 108 (million)
% 0.22/0.47 % (22296)Instruction limit reached!
% 0.22/0.47 % (22296)------------------------------
% 0.22/0.47 % (22296)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.47 % (22296)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.47 % (22296)Termination reason: Time limit
% 0.22/0.47 % (22296)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (22296)Memory used [KB]: 4172
% 0.22/0.47 % (22296)Time elapsed: 0.054 s
% 0.22/0.47 % (22296)Instructions burned: 103 (million)
% 0.22/0.47 % (22292)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.47 % (22300)lrs+2_1:1_sil=4000:plsqc=4:plsq=on:plsqr=2,1:rp=on:i=110:nm=10:fde=unused:ep=RS:slsq=on:slsql=off:slsqr=1,8:erd=off_0 on theBenchmark for (2999ds/110Mi)
% 0.22/0.47 % (22298)Instruction limit reached!
% 0.22/0.47 % (22298)------------------------------
% 0.22/0.47 % (22298)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.47 % (22298)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.47 % (22298)Termination reason: Time limit
% 0.22/0.47 % (22298)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (22298)Memory used [KB]: 1982
% 0.22/0.47 % (22298)Time elapsed: 0.057 s
% 0.22/0.47 % (22298)Instructions burned: 119 (million)
% 0.22/0.50 % (22292)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.50 % (22301)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=319:ss=axioms:sgt=4_0 on theBenchmark for (2999ds/319Mi)
% 0.22/0.50 % (22300)Instruction limit reached!
% 0.22/0.50 % (22300)------------------------------
% 0.22/0.50 % (22300)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.50 % (22300)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.50 % (22300)Termination reason: Time limit
% 0.22/0.50 % (22300)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (22300)Memory used [KB]: 1768
% 0.22/0.50 % (22300)Time elapsed: 0.033 s
% 0.22/0.50 % (22300)Instructions burned: 111 (million)
% 0.22/0.51 % (22292)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51 % (22302)ott+1010_1:3_sil=8000:tgt=full:sp=occurrence:urr=on:br=off:nicw=on:i=121:sd=2:ss=axioms:sgt=8:gsp=on_0 on theBenchmark for (2998ds/121Mi)
% 0.22/0.51 % (22292)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51 % (22303)lrs+1002_1:1_sil=16000:sp=occurrence:sos=on:urr=on:i=440:ss=axioms:sgt=10_0 on theBenchmark for (2998ds/440Mi)
% 0.22/0.51 % (22302)Refutation not found, incomplete strategy% (22302)------------------------------
% 0.22/0.51 % (22302)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.51 % (22302)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.51 % (22302)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.51
% 0.22/0.51 % (22302)Memory used [KB]: 1325
% 0.22/0.51 % (22302)Time elapsed: 0.005 s
% 0.22/0.51 % (22302)Instructions burned: 12 (million)
% 0.22/0.51 % (22302)------------------------------
% 0.22/0.51 % (22302)------------------------------
% 1.31/0.54 % (22292)Running in auto input_syntax mode. Trying TPTP
% 1.31/0.54 % (22304)lrs+1011_1:128_sil=2000:i=230:fsr=off:nwc=2.0_0 on theBenchmark for (2998ds/230Mi)
% 1.31/0.55 % (22292)Running in auto input_syntax mode. Trying TPTP
% 1.31/0.55 % (22305)dis+2_1:3_sil=8000:nwc=5.0:st=3.0:s2a=on:i=119:s2at=2.5:sd=3:nm=2:ss=axioms_0 on theBenchmark for (2998ds/119Mi)
% 1.31/0.57 % (22301)Instruction limit reached!
% 1.31/0.57 % (22301)------------------------------
% 1.31/0.57 % (22301)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.31/0.57 % (22301)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.31/0.57 % (22301)Termination reason: Time limit
% 1.31/0.57 % (22301)Termination phase: Saturation
% 1.31/0.57
% 1.31/0.57 % (22301)Memory used [KB]: 2154
% 1.31/0.57 % (22301)Time elapsed: 0.075 s
% 1.31/0.57 % (22301)Instructions burned: 322 (million)
% 1.31/0.59 % (22305)Instruction limit reached!
% 1.31/0.59 % (22305)------------------------------
% 1.31/0.59 % (22305)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.31/0.59 % (22305)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.31/0.59 % (22305)Termination reason: Time limit
% 1.31/0.59 % (22305)Termination phase: Saturation
% 1.31/0.59
% 1.31/0.59 % (22305)Memory used [KB]: 3402
% 1.31/0.59 % (22305)Time elapsed: 0.042 s
% 1.31/0.59 % (22305)Instructions burned: 121 (million)
% 1.31/0.59 % (22304)Instruction limit reached!
% 1.31/0.59 % (22304)------------------------------
% 1.31/0.59 % (22304)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.31/0.59 % (22304)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.31/0.59 % (22304)Termination reason: Time limit
% 1.31/0.59 % (22304)Termination phase: Saturation
% 1.31/0.59
% 1.31/0.59 % (22304)Memory used [KB]: 2157
% 1.31/0.59 % (22304)Time elapsed: 0.056 s
% 1.31/0.59 % (22304)Instructions burned: 234 (million)
% 1.31/0.61 % (22292)Running in auto input_syntax mode. Trying TPTP
% 1.31/0.61 % (22306)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=113:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on theBenchmark for (2997ds/113Mi)
% 1.31/0.62 % (22292)Running in auto input_syntax mode. Trying TPTP
% 1.31/0.62 % (22307)dis-1010_1:4_sil=2000:tgt=ground:i=128:sd=2:nm=6:av=off:gsp=on:ss=axioms:nwc=10.0_0 on theBenchmark for (2997ds/128Mi)
% 1.31/0.63 % (22292)Running in auto input_syntax mode. Trying TPTP
% 1.31/0.63 % (22308)lrs+4_1:8_sil=32000:abs=on:nwc=5.0:updr=off:i=963:nm=6:plsq=on:plsql=on:plsqc=1:plsqr=2,1_0 on theBenchmark for (2997ds/963Mi)
% 1.91/0.63 % (22303)Instruction limit reached!
% 1.91/0.63 % (22303)------------------------------
% 1.91/0.63 % (22303)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.91/0.63 % (22303)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.91/0.63 % (22303)Termination reason: Time limit
% 1.91/0.63 % (22303)Termination phase: Saturation
% 1.91/0.63
% 1.91/0.63 % (22303)Memory used [KB]: 3710
% 1.91/0.63 % (22303)Time elapsed: 0.123 s
% 1.91/0.63 % (22303)Instructions burned: 442 (million)
% 1.91/0.64 % (22308)First to succeed.
% 1.91/0.64 % (22306)Instruction limit reached!
% 1.91/0.64 % (22306)------------------------------
% 1.91/0.64 % (22306)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.91/0.64 % (22306)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.91/0.64 % (22306)Termination reason: Time limit
% 1.91/0.64 % (22306)Termination phase: Saturation
% 1.91/0.64
% 1.91/0.64 % (22306)Memory used [KB]: 1857
% 1.91/0.64 % (22306)Time elapsed: 0.036 s
% 1.91/0.64 % (22306)Instructions burned: 114 (million)
% 1.91/0.64 % (22308)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22292"
% 1.91/0.64 % (22292)Running in auto input_syntax mode. Trying TPTP
% 1.91/0.64 % (22308)Refutation found. Thanks to Tanya!
% 1.91/0.64 % SZS status Theorem for theBenchmark
% 1.91/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 1.91/0.64 % (22308)------------------------------
% 1.91/0.64 % (22308)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.91/0.64 % (22308)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.91/0.64 % (22308)Termination reason: Refutation
% 1.91/0.64
% 1.91/0.64 % (22308)Memory used [KB]: 1575
% 1.91/0.64 % (22308)Time elapsed: 0.036 s
% 1.91/0.64 % (22308)Instructions burned: 36 (million)
% 1.91/0.64 % (22308)------------------------------
% 1.91/0.64 % (22308)------------------------------
% 1.91/0.64 % (22292)Success in time 0.29 s
%------------------------------------------------------------------------------