TSTP Solution File: LCL658+1.005 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL658+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 : Sun May 5 07:51:13 EDT 2024
% Result : Theorem 79.17s 11.66s
% Output : Refutation 79.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 37
% Syntax : Number of formulae : 214 ( 19 unt; 0 def)
% Number of atoms : 1531 ( 0 equ)
% Maximal formula atoms : 88 ( 7 avg)
% Number of connectives : 2240 ( 923 ~; 957 |; 339 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 6 con; 0-1 aty)
% Number of variables : 764 ( 606 !; 158 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f375797,plain,
$false,
inference(subsumption_resolution,[],[f375758,f375726]) ).
fof(f375726,plain,
~ p1(sK17(sK34)),
inference(subsumption_resolution,[],[f375725,f189]) ).
fof(f189,plain,
sP11(sK33),
inference(resolution,[],[f188,f98]) ).
fof(f98,plain,
! [X0] :
( ~ sP12(X0)
| sP11(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ( ( sP9(X0)
| ! [X1] :
( ! [X2] :
( sP8(X2)
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
& sP11(X0)
& sP10(X0)
& ( sP5(X0)
| ! [X3] :
( sP1(X3)
| ~ r1(X0,X3) )
| ~ p1(X0)
| ! [X4] :
( p1(X4)
| ~ r1(X0,X4) ) ) )
| ~ sP12(X0) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X21] :
( ( ( sP9(X21)
| ! [X25] :
( ! [X26] :
( sP8(X26)
| p1(X26)
| ~ r1(X25,X26) )
| ~ r1(X21,X25) ) )
& sP11(X21)
& sP10(X21)
& ( sP5(X21)
| ! [X44] :
( sP1(X44)
| ~ r1(X21,X44) )
| ~ p1(X21)
| ! [X47] :
( p1(X47)
| ~ r1(X21,X47) ) ) )
| ~ sP12(X21) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X21] :
( ( ( sP9(X21)
| ! [X25] :
( ! [X26] :
( sP8(X26)
| p1(X26)
| ~ r1(X25,X26) )
| ~ r1(X21,X25) ) )
& sP11(X21)
& sP10(X21)
& ( sP5(X21)
| ! [X44] :
( sP1(X44)
| ~ r1(X21,X44) )
| ~ p1(X21)
| ! [X47] :
( p1(X47)
| ~ r1(X21,X47) ) ) )
| ~ sP12(X21) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f188,plain,
sP12(sK33),
inference(subsumption_resolution,[],[f187,f133]) ).
fof(f133,plain,
r1(sK28,sK31),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ! [X1] :
( ( ~ p1(sK29(X1))
& r1(X1,sK29(X1)) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(sK28,X1) )
& ! [X5] :
( ! [X6] :
( ( ~ p1(sK30(X6))
& r1(X6,sK30(X6)) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ r1(sK28,X5) )
& ! [X13] :
( sP14(X13)
| p1(X13)
| ~ r1(sK33,X13) )
& ! [X15] :
( p1(X15)
| ~ r1(sK34,X15) )
& r1(sK33,sK34)
& ~ p1(sK35)
& r1(sK33,sK35)
& r1(sK32,sK33)
& r1(sK31,sK32)
& r1(sK28,sK31)
& ! [X17] :
( ! [X18] :
( ! [X19] :
( sP12(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(sK28,X17) )
& ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ( ~ p1(sK36(X23))
& r1(X23,sK36(X23)) )
| ! [X25] :
( ! [X26] :
( p1(X26)
| ~ r1(X25,X26) )
| ~ r1(X23,X25) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(sK28,X20) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36])],[f80,f89,f88,f87,f86,f85,f84,f83,f82,f81]) ).
fof(f81,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] :
( ~ p1(X7)
& r1(X6,X7) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
& ? [X10] :
( ? [X11] :
( ? [X12] :
( ! [X13] :
( sP14(X13)
| p1(X13)
| ~ r1(X12,X13) )
& ? [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
& r1(X12,X14) )
& ? [X16] :
( ~ p1(X16)
& r1(X12,X16) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X0,X10) )
& ! [X17] :
( ! [X18] :
( ! [X19] :
( sP12(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X0,X17) )
& ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ! [X25] :
( ! [X26] :
( p1(X26)
| ~ r1(X25,X26) )
| ~ r1(X23,X25) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X0,X20) ) )
=> ( ! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(sK28,X1) )
& ! [X5] :
( ! [X6] :
( ? [X7] :
( ~ p1(X7)
& r1(X6,X7) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ r1(sK28,X5) )
& ? [X10] :
( ? [X11] :
( ? [X12] :
( ! [X13] :
( sP14(X13)
| p1(X13)
| ~ r1(X12,X13) )
& ? [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
& r1(X12,X14) )
& ? [X16] :
( ~ p1(X16)
& r1(X12,X16) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(sK28,X10) )
& ! [X17] :
( ! [X18] :
( ! [X19] :
( sP12(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(sK28,X17) )
& ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ! [X25] :
( ! [X26] :
( p1(X26)
| ~ r1(X25,X26) )
| ~ r1(X23,X25) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(sK28,X20) ) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
=> ( ~ p1(sK29(X1))
& r1(X1,sK29(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X6] :
( ? [X7] :
( ~ p1(X7)
& r1(X6,X7) )
=> ( ~ p1(sK30(X6))
& r1(X6,sK30(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ! [X13] :
( sP14(X13)
| p1(X13)
| ~ r1(X12,X13) )
& ? [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
& r1(X12,X14) )
& ? [X16] :
( ~ p1(X16)
& r1(X12,X16) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(sK28,X10) )
=> ( ? [X11] :
( ? [X12] :
( ! [X13] :
( sP14(X13)
| p1(X13)
| ~ r1(X12,X13) )
& ? [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
& r1(X12,X14) )
& ? [X16] :
( ~ p1(X16)
& r1(X12,X16) )
& r1(X11,X12) )
& r1(sK31,X11) )
& r1(sK28,sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( ? [X11] :
( ? [X12] :
( ! [X13] :
( sP14(X13)
| p1(X13)
| ~ r1(X12,X13) )
& ? [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
& r1(X12,X14) )
& ? [X16] :
( ~ p1(X16)
& r1(X12,X16) )
& r1(X11,X12) )
& r1(sK31,X11) )
=> ( ? [X12] :
( ! [X13] :
( sP14(X13)
| p1(X13)
| ~ r1(X12,X13) )
& ? [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
& r1(X12,X14) )
& ? [X16] :
( ~ p1(X16)
& r1(X12,X16) )
& r1(sK32,X12) )
& r1(sK31,sK32) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( ? [X12] :
( ! [X13] :
( sP14(X13)
| p1(X13)
| ~ r1(X12,X13) )
& ? [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
& r1(X12,X14) )
& ? [X16] :
( ~ p1(X16)
& r1(X12,X16) )
& r1(sK32,X12) )
=> ( ! [X13] :
( sP14(X13)
| p1(X13)
| ~ r1(sK33,X13) )
& ? [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
& r1(sK33,X14) )
& ? [X16] :
( ~ p1(X16)
& r1(sK33,X16) )
& r1(sK32,sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
( ? [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
& r1(sK33,X14) )
=> ( ! [X15] :
( p1(X15)
| ~ r1(sK34,X15) )
& r1(sK33,sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
( ? [X16] :
( ~ p1(X16)
& r1(sK33,X16) )
=> ( ~ p1(sK35)
& r1(sK33,sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
=> ( ~ p1(sK36(X23))
& r1(X23,sK36(X23)) ) ),
introduced(choice_axiom,[]) ).
fof(f80,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] :
( ~ p1(X7)
& r1(X6,X7) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
& ? [X10] :
( ? [X11] :
( ? [X12] :
( ! [X13] :
( sP14(X13)
| p1(X13)
| ~ r1(X12,X13) )
& ? [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
& r1(X12,X14) )
& ? [X16] :
( ~ p1(X16)
& r1(X12,X16) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X0,X10) )
& ! [X17] :
( ! [X18] :
( ! [X19] :
( sP12(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X0,X17) )
& ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ! [X25] :
( ! [X26] :
( p1(X26)
| ~ r1(X25,X26) )
| ~ r1(X23,X25) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X0,X20) ) ),
inference(rectify,[],[f23]) ).
fof(f23,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] :
( ~ p1(X7)
& r1(X6,X7) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
& ? [X10] :
( ? [X11] :
( ? [X12] :
( ! [X13] :
( sP14(X13)
| p1(X13)
| ~ r1(X12,X13) )
& ? [X16] :
( ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
& r1(X12,X16) )
& ? [X18] :
( ~ p1(X18)
& r1(X12,X18) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X0,X10) )
& ! [X19] :
( ! [X20] :
( ! [X21] :
( sP12(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X0,X19) )
& ! [X48] :
( ! [X49] :
( ! [X50] :
( ! [X51] :
( ? [X52] :
( ~ p1(X52)
& r1(X51,X52) )
| ! [X53] :
( ! [X54] :
( p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X51,X53) )
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X0,X48) ) ),
inference(definition_folding,[],[f7,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f8,plain,
! [X45] :
( ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
| ~ sP0(X45) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
! [X44] :
( ? [X45] :
( p1(X45)
& sP0(X45)
& r1(X44,X45) )
| ~ sP1(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
! [X39] :
( ? [X40] :
( ~ p1(X40)
& r1(X39,X40) )
| ~ sP2(X39) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
! [X38] :
( ? [X43] :
( ~ p1(X43)
& r1(X38,X43) )
| ~ sP3(X38) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
! [X38] :
( ! [X39] :
( ( p1(X39)
& sP2(X39) )
| ! [X41] :
( ~ p1(X41)
| ! [X42] :
( p1(X42)
| ~ r1(X41,X42) )
| ~ r1(X39,X41) )
| ~ r1(X38,X39) )
| ~ sP4(X38) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
! [X21] :
( ? [X38] :
( sP4(X38)
& p1(X38)
& sP3(X38)
& r1(X21,X38) )
| ~ sP5(X21) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f14,plain,
! [X21] :
( ? [X33] :
( ! [X34] :
( ~ p1(X34)
| ! [X35] :
( p1(X35)
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
& ~ p1(X33)
& r1(X21,X33) )
| ~ sP6(X21) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f15,plain,
! [X27] :
( ? [X28] :
( ~ p1(X28)
& r1(X27,X28) )
| ~ sP7(X27) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f16,plain,
! [X26] :
( ? [X27] :
( p1(X27)
& sP7(X27)
& r1(X26,X27) )
| ~ sP8(X26) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f17,plain,
! [X21] :
( ? [X22] :
( ! [X23] :
( ~ p1(X23)
| ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
& ~ p1(X22)
& r1(X21,X22) )
| ~ sP9(X21) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f18,plain,
! [X21] :
( sP6(X21)
| ! [X36] :
( ? [X37] :
( ~ p1(X37)
& r1(X36,X37) )
| ~ r1(X21,X36) )
| p1(X21)
| ~ sP10(X21) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f19,plain,
! [X21] :
( ! [X29] :
( ? [X30] :
( ~ p1(X30)
& r1(X29,X30) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X29,X31) )
| ~ r1(X21,X29) )
| ~ sP11(X21) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f21,plain,
! [X14] :
( ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
| ~ sP13(X14) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f22,plain,
! [X13] :
( ? [X14] :
( p1(X14)
& sP13(X14)
& r1(X13,X14) )
| ~ sP14(X13) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
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] :
( ~ p1(X7)
& r1(X6,X7) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
& ? [X10] :
( ? [X11] :
( ? [X12] :
( ! [X13] :
( ? [X14] :
( p1(X14)
& ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
& r1(X13,X14) )
| p1(X13)
| ~ r1(X12,X13) )
& ? [X16] :
( ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
& r1(X12,X16) )
& ? [X18] :
( ~ p1(X18)
& r1(X12,X18) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X0,X10) )
& ! [X19] :
( ! [X20] :
( ! [X21] :
( ( ( ? [X22] :
( ! [X23] :
( ~ p1(X23)
| ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
& ~ p1(X22)
& r1(X21,X22) )
| ! [X25] :
( ! [X26] :
( ? [X27] :
( p1(X27)
& ? [X28] :
( ~ p1(X28)
& r1(X27,X28) )
& r1(X26,X27) )
| p1(X26)
| ~ r1(X25,X26) )
| ~ r1(X21,X25) ) )
& ! [X29] :
( ? [X30] :
( ~ p1(X30)
& r1(X29,X30) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X29,X31) )
| ~ r1(X21,X29) )
& ( ? [X33] :
( ! [X34] :
( ~ p1(X34)
| ! [X35] :
( p1(X35)
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
& ~ p1(X33)
& r1(X21,X33) )
| ! [X36] :
( ? [X37] :
( ~ p1(X37)
& r1(X36,X37) )
| ~ r1(X21,X36) )
| p1(X21) )
& ( ? [X38] :
( ! [X39] :
( ( p1(X39)
& ? [X40] :
( ~ p1(X40)
& r1(X39,X40) ) )
| ! [X41] :
( ~ p1(X41)
| ! [X42] :
( p1(X42)
| ~ r1(X41,X42) )
| ~ r1(X39,X41) )
| ~ r1(X38,X39) )
& p1(X38)
& ? [X43] :
( ~ p1(X43)
& r1(X38,X43) )
& r1(X21,X38) )
| ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| ~ r1(X21,X44) )
| ~ p1(X21)
| ! [X47] :
( p1(X47)
| ~ r1(X21,X47) ) ) )
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X0,X19) )
& ! [X48] :
( ! [X49] :
( ! [X50] :
( ! [X51] :
( ? [X52] :
( ~ p1(X52)
& r1(X51,X52) )
| ! [X53] :
( ! [X54] :
( p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X51,X53) )
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X0,X48) ) ),
inference(flattening,[],[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] :
( ~ p1(X7)
& r1(X6,X7) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
& ? [X10] :
( ? [X11] :
( ? [X12] :
( ! [X13] :
( ? [X14] :
( p1(X14)
& ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
& r1(X13,X14) )
| p1(X13)
| ~ r1(X12,X13) )
& ? [X16] :
( ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
& r1(X12,X16) )
& ? [X18] :
( ~ p1(X18)
& r1(X12,X18) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X0,X10) )
& ! [X19] :
( ! [X20] :
( ! [X21] :
( ( ( ? [X22] :
( ! [X23] :
( ~ p1(X23)
| ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
& ~ p1(X22)
& r1(X21,X22) )
| ! [X25] :
( ! [X26] :
( ? [X27] :
( p1(X27)
& ? [X28] :
( ~ p1(X28)
& r1(X27,X28) )
& r1(X26,X27) )
| p1(X26)
| ~ r1(X25,X26) )
| ~ r1(X21,X25) ) )
& ! [X29] :
( ? [X30] :
( ~ p1(X30)
& r1(X29,X30) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X29,X31) )
| ~ r1(X21,X29) )
& ( ? [X33] :
( ! [X34] :
( ~ p1(X34)
| ! [X35] :
( p1(X35)
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
& ~ p1(X33)
& r1(X21,X33) )
| ! [X36] :
( ? [X37] :
( ~ p1(X37)
& r1(X36,X37) )
| ~ r1(X21,X36) )
| p1(X21) )
& ( ? [X38] :
( ! [X39] :
( ( p1(X39)
& ? [X40] :
( ~ p1(X40)
& r1(X39,X40) ) )
| ! [X41] :
( ~ p1(X41)
| ! [X42] :
( p1(X42)
| ~ r1(X41,X42) )
| ~ r1(X39,X41) )
| ~ r1(X38,X39) )
& p1(X38)
& ? [X43] :
( ~ p1(X43)
& r1(X38,X43) )
& r1(X21,X38) )
| ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| ~ r1(X21,X44) )
| ~ p1(X21)
| ! [X47] :
( p1(X47)
| ~ r1(X21,X47) ) ) )
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X0,X19) )
& ! [X48] :
( ! [X49] :
( ! [X50] :
( ! [X51] :
( ? [X52] :
( ~ p1(X52)
& r1(X51,X52) )
| ! [X53] :
( ! [X54] :
( p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X51,X53) )
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X0,X48) ) ),
inference(ennf_transformation,[],[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] :
( p1(X7)
| ~ r1(X6,X7) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
& ~ ! [X10] :
( ! [X11] :
( ! [X12] :
( ~ ! [X13] :
( ~ ! [X14] :
( ~ p1(X14)
| ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p1(X13)
| ~ r1(X12,X13) )
| ! [X16] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X12,X16) )
| ! [X18] :
( p1(X18)
| ~ r1(X12,X18) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X0,X10) ) )
| ~ ! [X19] :
( ! [X20] :
( ! [X21] :
( ( ( ~ ! [X22] :
( ~ ! [X23] :
( ~ p1(X23)
| ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| p1(X22)
| ~ r1(X21,X22) )
| ! [X25] :
( ! [X26] :
( ~ ! [X27] :
( ~ p1(X27)
| ! [X28] :
( p1(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| p1(X26)
| ~ r1(X25,X26) )
| ~ r1(X21,X25) ) )
& ! [X29] :
( ~ ! [X30] :
( p1(X30)
| ~ r1(X29,X30) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X29,X31) )
| ~ r1(X21,X29) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ p1(X34)
| ! [X35] :
( p1(X35)
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
| p1(X33)
| ~ r1(X21,X33) )
| ! [X36] :
( ~ ! [X37] :
( p1(X37)
| ~ r1(X36,X37) )
| ~ r1(X21,X36) )
| p1(X21) )
& ( ~ ! [X38] :
( ~ ! [X39] :
( ~ ( ~ p1(X39)
| ! [X40] :
( p1(X40)
| ~ r1(X39,X40) ) )
| ! [X41] :
( ~ p1(X41)
| ! [X42] :
( p1(X42)
| ~ r1(X41,X42) )
| ~ r1(X39,X41) )
| ~ r1(X38,X39) )
| ~ p1(X38)
| ! [X43] :
( p1(X43)
| ~ r1(X38,X43) )
| ~ r1(X21,X38) )
| ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X21,X44) )
| ~ p1(X21)
| ! [X47] :
( p1(X47)
| ~ r1(X21,X47) ) ) )
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X0,X19) )
| ~ ! [X48] :
( ! [X49] :
( ! [X50] :
( ! [X51] :
( ~ ! [X52] :
( p1(X52)
| ~ r1(X51,X52) )
| ! [X53] :
( ! [X54] :
( p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X51,X53) )
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X0,X48) ) ),
inference(flattening,[],[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] :
( p1(X7)
| ~ r1(X6,X7) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
& ~ ! [X10] :
( ! [X11] :
( ! [X12] :
( ~ ! [X13] :
( ~ ! [X14] :
( ~ p1(X14)
| ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p1(X13)
| ~ r1(X12,X13) )
| ! [X16] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X12,X16) )
| ! [X18] :
( p1(X18)
| ~ r1(X12,X18) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X0,X10) ) )
| ~ ! [X19] :
( ! [X20] :
( ! [X21] :
( ( ( ~ ! [X22] :
( ~ ! [X23] :
( ~ p1(X23)
| ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| p1(X22)
| ~ r1(X21,X22) )
| ! [X25] :
( ! [X26] :
( ~ ! [X27] :
( ~ p1(X27)
| ! [X28] :
( p1(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| p1(X26)
| ~ r1(X25,X26) )
| ~ r1(X21,X25) ) )
& ! [X29] :
( ~ ! [X30] :
( p1(X30)
| ~ r1(X29,X30) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X29,X31) )
| ~ r1(X21,X29) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ p1(X34)
| ! [X35] :
( p1(X35)
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
| p1(X33)
| ~ r1(X21,X33) )
| ! [X36] :
( ~ ! [X37] :
( p1(X37)
| ~ r1(X36,X37) )
| ~ r1(X21,X36) )
| p1(X21) )
& ( ~ ! [X38] :
( ~ ! [X39] :
( ~ ( ~ p1(X39)
| ! [X40] :
( p1(X40)
| ~ r1(X39,X40) ) )
| ! [X41] :
( ~ p1(X41)
| ! [X42] :
( p1(X42)
| ~ r1(X41,X42) )
| ~ r1(X39,X41) )
| ~ r1(X38,X39) )
| ~ p1(X38)
| ! [X43] :
( p1(X43)
| ~ r1(X38,X43) )
| ~ r1(X21,X38) )
| ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X21,X44) )
| ~ p1(X21)
| ! [X47] :
( p1(X47)
| ~ r1(X21,X47) ) ) )
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X0,X19) )
| ~ ! [X48] :
( ! [X49] :
( ! [X50] :
( ! [X51] :
( ~ ! [X52] :
( p1(X52)
| ~ r1(X51,X52) )
| ! [X53] :
( ! [X54] :
( p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X51,X53) )
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X0,X48) ) ),
inference(rectify,[],[f3]) ).
fof(f3,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] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,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] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f187,plain,
( sP12(sK33)
| ~ r1(sK28,sK31) ),
inference(resolution,[],[f160,f134]) ).
fof(f134,plain,
r1(sK31,sK32),
inference(cnf_transformation,[],[f90]) ).
fof(f160,plain,
! [X0] :
( ~ r1(X0,sK32)
| sP12(sK33)
| ~ r1(sK28,X0) ),
inference(resolution,[],[f132,f135]) ).
fof(f135,plain,
r1(sK32,sK33),
inference(cnf_transformation,[],[f90]) ).
fof(f132,plain,
! [X18,X19,X17] :
( ~ r1(X18,X19)
| sP12(X19)
| ~ r1(X17,X18)
| ~ r1(sK28,X17) ),
inference(cnf_transformation,[],[f90]) ).
fof(f375725,plain,
( ~ p1(sK17(sK34))
| ~ sP11(sK33) ),
inference(resolution,[],[f375723,f138]) ).
fof(f138,plain,
r1(sK33,sK34),
inference(cnf_transformation,[],[f90]) ).
fof(f375723,plain,
! [X0] :
( ~ r1(X0,sK34)
| ~ p1(sK17(sK34))
| ~ sP11(X0) ),
inference(resolution,[],[f375579,f375477]) ).
fof(f375477,plain,
r1(sK34,sK26(sK34)),
inference(resolution,[],[f375476,f125]) ).
fof(f125,plain,
! [X0] :
( ~ sP1(X0)
| r1(X0,sK26(X0)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ( p1(sK26(X0))
& sP0(sK26(X0))
& r1(X0,sK26(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f73,f74]) ).
fof(f74,plain,
! [X0] :
( ? [X1] :
( p1(X1)
& sP0(X1)
& r1(X0,X1) )
=> ( p1(sK26(X0))
& sP0(sK26(X0))
& r1(X0,sK26(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0] :
( ? [X1] :
( p1(X1)
& sP0(X1)
& r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X44] :
( ? [X45] :
( p1(X45)
& sP0(X45)
& r1(X44,X45) )
| ~ sP1(X44) ),
inference(nnf_transformation,[],[f9]) ).
fof(f375476,plain,
sP1(sK34),
inference(subsumption_resolution,[],[f375471,f2421]) ).
fof(f2421,plain,
( sP4(sK23(sK33))
| sP1(sK34) ),
inference(resolution,[],[f2419,f118]) ).
fof(f118,plain,
! [X0] :
( ~ sP5(X0)
| sP4(sK23(X0)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( sP4(sK23(X0))
& p1(sK23(X0))
& sP3(sK23(X0))
& r1(X0,sK23(X0)) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f59,f60]) ).
fof(f60,plain,
! [X0] :
( ? [X1] :
( sP4(X1)
& p1(X1)
& sP3(X1)
& r1(X0,X1) )
=> ( sP4(sK23(X0))
& p1(sK23(X0))
& sP3(sK23(X0))
& r1(X0,sK23(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0] :
( ? [X1] :
( sP4(X1)
& p1(X1)
& sP3(X1)
& r1(X0,X1) )
| ~ sP5(X0) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X21] :
( ? [X38] :
( sP4(X38)
& p1(X38)
& sP3(X38)
& r1(X21,X38) )
| ~ sP5(X21) ),
inference(nnf_transformation,[],[f13]) ).
fof(f2419,plain,
( sP5(sK33)
| sP1(sK34) ),
inference(subsumption_resolution,[],[f2416,f137]) ).
fof(f137,plain,
~ p1(sK35),
inference(cnf_transformation,[],[f90]) ).
fof(f2416,plain,
( sP5(sK33)
| p1(sK35)
| sP1(sK34) ),
inference(resolution,[],[f2410,f136]) ).
fof(f136,plain,
r1(sK33,sK35),
inference(cnf_transformation,[],[f90]) ).
fof(f2410,plain,
! [X0] :
( ~ r1(sK33,X0)
| sP5(sK33)
| p1(X0)
| sP1(sK34) ),
inference(subsumption_resolution,[],[f1223,f1929]) ).
fof(f1929,plain,
p1(sK33),
inference(subsumption_resolution,[],[f1928,f832]) ).
fof(f832,plain,
( sP6(sK33)
| p1(sK33) ),
inference(subsumption_resolution,[],[f819,f675]) ).
fof(f675,plain,
( ~ p1(sK18(sK34))
| sP6(sK33)
| p1(sK33) ),
inference(subsumption_resolution,[],[f649,f190]) ).
fof(f190,plain,
sP10(sK33),
inference(resolution,[],[f188,f97]) ).
fof(f97,plain,
! [X0] :
( ~ sP12(X0)
| sP10(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f649,plain,
( ~ p1(sK18(sK34))
| sP6(sK33)
| p1(sK33)
| ~ sP10(sK33) ),
inference(resolution,[],[f103,f138]) ).
fof(f103,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ p1(sK18(X1))
| sP6(X0)
| p1(X0)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( sP6(X0)
| ! [X1] :
( ( ~ p1(sK18(X1))
& r1(X1,sK18(X1)) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ sP10(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f39,f40]) ).
fof(f40,plain,
! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
=> ( ~ p1(sK18(X1))
& r1(X1,sK18(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0] :
( sP6(X0)
| ! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ sP10(X0) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X21] :
( sP6(X21)
| ! [X36] :
( ? [X37] :
( ~ p1(X37)
& r1(X36,X37) )
| ~ r1(X21,X36) )
| p1(X21)
| ~ sP10(X21) ),
inference(nnf_transformation,[],[f18]) ).
fof(f819,plain,
( sP6(sK33)
| p1(sK33)
| p1(sK18(sK34)) ),
inference(resolution,[],[f731,f139]) ).
fof(f139,plain,
! [X15] :
( ~ r1(sK34,X15)
| p1(X15) ),
inference(cnf_transformation,[],[f90]) ).
fof(f731,plain,
( r1(sK34,sK18(sK34))
| sP6(sK33)
| p1(sK33) ),
inference(subsumption_resolution,[],[f705,f190]) ).
fof(f705,plain,
( r1(sK34,sK18(sK34))
| sP6(sK33)
| p1(sK33)
| ~ sP10(sK33) ),
inference(resolution,[],[f102,f138]) ).
fof(f102,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK18(X1))
| sP6(X0)
| p1(X0)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f1928,plain,
( p1(sK33)
| ~ sP6(sK33) ),
inference(duplicate_literal_removal,[],[f1927]) ).
fof(f1927,plain,
( p1(sK33)
| ~ sP6(sK33)
| p1(sK33) ),
inference(resolution,[],[f1509,f861]) ).
fof(f861,plain,
( r1(sK22(sK33),sK15(sK22(sK33)))
| p1(sK33) ),
inference(resolution,[],[f858,f91]) ).
fof(f91,plain,
! [X0] :
( ~ sP14(X0)
| r1(X0,sK15(X0)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ( p1(sK15(X0))
& sP13(sK15(X0))
& r1(X0,sK15(X0)) )
| ~ sP14(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f25,f26]) ).
fof(f26,plain,
! [X0] :
( ? [X1] :
( p1(X1)
& sP13(X1)
& r1(X0,X1) )
=> ( p1(sK15(X0))
& sP13(sK15(X0))
& r1(X0,sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0] :
( ? [X1] :
( p1(X1)
& sP13(X1)
& r1(X0,X1) )
| ~ sP14(X0) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X13] :
( ? [X14] :
( p1(X14)
& sP13(X14)
& r1(X13,X14) )
| ~ sP14(X13) ),
inference(nnf_transformation,[],[f22]) ).
fof(f858,plain,
( sP14(sK22(sK33))
| p1(sK33) ),
inference(subsumption_resolution,[],[f843,f842]) ).
fof(f842,plain,
( ~ p1(sK22(sK33))
| p1(sK33) ),
inference(resolution,[],[f832,f113]) ).
fof(f113,plain,
! [X0] :
( ~ sP6(X0)
| ~ p1(sK22(X0)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK22(X0),X2) )
& ~ p1(sK22(X0))
& r1(X0,sK22(X0)) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f55,f56]) ).
fof(f56,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK22(X0),X2) )
& ~ p1(sK22(X0))
& r1(X0,sK22(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
| ~ sP6(X0) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X21] :
( ? [X33] :
( ! [X34] :
( ~ p1(X34)
| ! [X35] :
( p1(X35)
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
& ~ p1(X33)
& r1(X21,X33) )
| ~ sP6(X21) ),
inference(nnf_transformation,[],[f14]) ).
fof(f843,plain,
( p1(sK33)
| p1(sK22(sK33))
| sP14(sK22(sK33)) ),
inference(resolution,[],[f841,f140]) ).
fof(f140,plain,
! [X13] :
( ~ r1(sK33,X13)
| p1(X13)
| sP14(X13) ),
inference(cnf_transformation,[],[f90]) ).
fof(f841,plain,
( r1(sK33,sK22(sK33))
| p1(sK33) ),
inference(resolution,[],[f832,f112]) ).
fof(f112,plain,
! [X0] :
( ~ sP6(X0)
| r1(X0,sK22(X0)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f1509,plain,
! [X0] :
( ~ r1(sK22(X0),sK15(sK22(sK33)))
| p1(sK33)
| ~ sP6(X0) ),
inference(subsumption_resolution,[],[f1508,f862]) ).
fof(f862,plain,
( p1(sK15(sK22(sK33)))
| p1(sK33) ),
inference(resolution,[],[f858,f93]) ).
fof(f93,plain,
! [X0] :
( ~ sP14(X0)
| p1(sK15(X0)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f1508,plain,
! [X0] :
( p1(sK33)
| ~ p1(sK15(sK22(sK33)))
| ~ r1(sK22(X0),sK15(sK22(sK33)))
| ~ sP6(X0) ),
inference(subsumption_resolution,[],[f1492,f865]) ).
fof(f865,plain,
( ~ p1(sK16(sK15(sK22(sK33))))
| p1(sK33) ),
inference(resolution,[],[f863,f95]) ).
fof(f95,plain,
! [X0] :
( ~ sP13(X0)
| ~ p1(sK16(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ( ~ p1(sK16(X0))
& r1(X0,sK16(X0)) )
| ~ sP13(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f29,f30]) ).
fof(f30,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
=> ( ~ p1(sK16(X0))
& r1(X0,sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
| ~ sP13(X0) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X14] :
( ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
| ~ sP13(X14) ),
inference(nnf_transformation,[],[f21]) ).
fof(f863,plain,
( sP13(sK15(sK22(sK33)))
| p1(sK33) ),
inference(resolution,[],[f858,f92]) ).
fof(f92,plain,
! [X0] :
( ~ sP14(X0)
| sP13(sK15(X0)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f1492,plain,
! [X0] :
( p1(sK33)
| p1(sK16(sK15(sK22(sK33))))
| ~ p1(sK15(sK22(sK33)))
| ~ r1(sK22(X0),sK15(sK22(sK33)))
| ~ sP6(X0) ),
inference(resolution,[],[f864,f114]) ).
fof(f114,plain,
! [X2,X3,X0] :
( ~ r1(X2,X3)
| p1(X3)
| ~ p1(X2)
| ~ r1(sK22(X0),X2)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f864,plain,
( r1(sK15(sK22(sK33)),sK16(sK15(sK22(sK33))))
| p1(sK33) ),
inference(resolution,[],[f863,f94]) ).
fof(f94,plain,
! [X0] :
( ~ sP13(X0)
| r1(X0,sK16(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f1223,plain,
! [X0] :
( sP1(sK34)
| sP5(sK33)
| ~ p1(sK33)
| p1(X0)
| ~ r1(sK33,X0) ),
inference(subsumption_resolution,[],[f1200,f188]) ).
fof(f1200,plain,
! [X0] :
( sP1(sK34)
| sP5(sK33)
| ~ p1(sK33)
| p1(X0)
| ~ r1(sK33,X0)
| ~ sP12(sK33) ),
inference(resolution,[],[f96,f138]) ).
fof(f96,plain,
! [X3,X0,X4] :
( ~ r1(X0,X3)
| sP1(X3)
| sP5(X0)
| ~ p1(X0)
| p1(X4)
| ~ r1(X0,X4)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f375471,plain,
( sP1(sK34)
| ~ sP4(sK23(sK33)) ),
inference(duplicate_literal_removal,[],[f375470]) ).
fof(f375470,plain,
( sP1(sK34)
| ~ sP4(sK23(sK33))
| sP1(sK34) ),
inference(resolution,[],[f375460,f2427]) ).
fof(f2427,plain,
( r1(sK23(sK33),sK24(sK23(sK33)))
| sP1(sK34) ),
inference(resolution,[],[f2423,f121]) ).
fof(f121,plain,
! [X0] :
( ~ sP3(X0)
| r1(X0,sK24(X0)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ( ~ p1(sK24(X0))
& r1(X0,sK24(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f65,f66]) ).
fof(f66,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
=> ( ~ p1(sK24(X0))
& r1(X0,sK24(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X38] :
( ? [X43] :
( ~ p1(X43)
& r1(X38,X43) )
| ~ sP3(X38) ),
inference(nnf_transformation,[],[f11]) ).
fof(f2423,plain,
( sP3(sK23(sK33))
| sP1(sK34) ),
inference(resolution,[],[f2419,f116]) ).
fof(f116,plain,
! [X0] :
( ~ sP5(X0)
| sP3(sK23(X0)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f375460,plain,
! [X0] :
( ~ r1(X0,sK24(sK23(sK33)))
| sP1(sK34)
| ~ sP4(X0) ),
inference(subsumption_resolution,[],[f375455,f2428]) ).
fof(f2428,plain,
( ~ p1(sK24(sK23(sK33)))
| sP1(sK34) ),
inference(resolution,[],[f2423,f122]) ).
fof(f122,plain,
! [X0] :
( ~ sP3(X0)
| ~ p1(sK24(X0)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f375455,plain,
! [X0] :
( p1(sK24(sK23(sK33)))
| sP1(sK34)
| ~ r1(X0,sK24(sK23(sK33)))
| ~ sP4(X0) ),
inference(duplicate_literal_removal,[],[f375450]) ).
fof(f375450,plain,
! [X0] :
( p1(sK24(sK23(sK33)))
| sP1(sK34)
| ~ r1(X0,sK24(sK23(sK33)))
| ~ sP4(X0)
| sP1(sK34) ),
inference(resolution,[],[f195347,f195124]) ).
fof(f195124,plain,
( r1(sK24(sK23(sK33)),sK20(sK24(sK23(sK33))))
| sP1(sK34) ),
inference(resolution,[],[f195115,f107]) ).
fof(f107,plain,
! [X0] :
( ~ sP8(X0)
| r1(X0,sK20(X0)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( p1(sK20(X0))
& sP7(sK20(X0))
& r1(X0,sK20(X0)) )
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f47,f48]) ).
fof(f48,plain,
! [X0] :
( ? [X1] :
( p1(X1)
& sP7(X1)
& r1(X0,X1) )
=> ( p1(sK20(X0))
& sP7(sK20(X0))
& r1(X0,sK20(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0] :
( ? [X1] :
( p1(X1)
& sP7(X1)
& r1(X0,X1) )
| ~ sP8(X0) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X26] :
( ? [X27] :
( p1(X27)
& sP7(X27)
& r1(X26,X27) )
| ~ sP8(X26) ),
inference(nnf_transformation,[],[f16]) ).
fof(f195115,plain,
( sP8(sK24(sK23(sK33)))
| sP1(sK34) ),
inference(subsumption_resolution,[],[f195112,f128806]) ).
fof(f128806,plain,
( sP9(sK33)
| sP8(sK24(sK23(sK33)))
| sP1(sK34) ),
inference(subsumption_resolution,[],[f128801,f188]) ).
fof(f128801,plain,
( sP8(sK24(sK23(sK33)))
| sP9(sK33)
| sP1(sK34)
| ~ sP12(sK33) ),
inference(duplicate_literal_removal,[],[f128800]) ).
fof(f128800,plain,
( sP8(sK24(sK23(sK33)))
| sP9(sK33)
| sP1(sK34)
| ~ sP12(sK33)
| sP1(sK34) ),
inference(resolution,[],[f2496,f2420]) ).
fof(f2420,plain,
( r1(sK33,sK23(sK33))
| sP1(sK34) ),
inference(resolution,[],[f2419,f115]) ).
fof(f115,plain,
! [X0] :
( ~ sP5(X0)
| r1(X0,sK23(X0)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f2496,plain,
! [X0] :
( ~ r1(X0,sK23(sK33))
| sP8(sK24(sK23(sK33)))
| sP9(X0)
| sP1(sK34)
| ~ sP12(X0) ),
inference(subsumption_resolution,[],[f2476,f2428]) ).
fof(f2476,plain,
! [X0] :
( sP1(sK34)
| sP8(sK24(sK23(sK33)))
| p1(sK24(sK23(sK33)))
| sP9(X0)
| ~ r1(X0,sK23(sK33))
| ~ sP12(X0) ),
inference(resolution,[],[f2427,f99]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| sP8(X2)
| p1(X2)
| sP9(X0)
| ~ r1(X0,X1)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f195112,plain,
( sP1(sK34)
| sP8(sK24(sK23(sK33)))
| ~ sP9(sK33) ),
inference(duplicate_literal_removal,[],[f195099]) ).
fof(f195099,plain,
( sP1(sK34)
| sP8(sK24(sK23(sK33)))
| ~ sP9(sK33)
| sP1(sK34)
| sP8(sK24(sK23(sK33))) ),
inference(resolution,[],[f172217,f128877]) ).
fof(f128877,plain,
( r1(sK19(sK33),sK15(sK19(sK33)))
| sP1(sK34)
| sP8(sK24(sK23(sK33))) ),
inference(resolution,[],[f128863,f91]) ).
fof(f128863,plain,
( sP14(sK19(sK33))
| sP8(sK24(sK23(sK33)))
| sP1(sK34) ),
inference(subsumption_resolution,[],[f128816,f128808]) ).
fof(f128808,plain,
( ~ p1(sK19(sK33))
| sP1(sK34)
| sP8(sK24(sK23(sK33))) ),
inference(resolution,[],[f128806,f105]) ).
fof(f105,plain,
! [X0] :
( ~ sP9(X0)
| ~ p1(sK19(X0)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK19(X0),X2) )
& ~ p1(sK19(X0))
& r1(X0,sK19(X0)) )
| ~ sP9(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f43,f44]) ).
fof(f44,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK19(X0),X2) )
& ~ p1(sK19(X0))
& r1(X0,sK19(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
| ~ sP9(X0) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X21] :
( ? [X22] :
( ! [X23] :
( ~ p1(X23)
| ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
& ~ p1(X22)
& r1(X21,X22) )
| ~ sP9(X21) ),
inference(nnf_transformation,[],[f17]) ).
fof(f128816,plain,
( sP1(sK34)
| sP8(sK24(sK23(sK33)))
| p1(sK19(sK33))
| sP14(sK19(sK33)) ),
inference(resolution,[],[f128807,f140]) ).
fof(f128807,plain,
( r1(sK33,sK19(sK33))
| sP1(sK34)
| sP8(sK24(sK23(sK33))) ),
inference(resolution,[],[f128806,f104]) ).
fof(f104,plain,
! [X0] :
( ~ sP9(X0)
| r1(X0,sK19(X0)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f172217,plain,
! [X0] :
( ~ r1(sK19(X0),sK15(sK19(sK33)))
| sP1(sK34)
| sP8(sK24(sK23(sK33)))
| ~ sP9(X0) ),
inference(subsumption_resolution,[],[f172216,f128884]) ).
fof(f128884,plain,
( ~ p1(sK16(sK15(sK19(sK33))))
| sP8(sK24(sK23(sK33)))
| sP1(sK34) ),
inference(resolution,[],[f128879,f95]) ).
fof(f128879,plain,
( sP13(sK15(sK19(sK33)))
| sP1(sK34)
| sP8(sK24(sK23(sK33))) ),
inference(resolution,[],[f128863,f92]) ).
fof(f172216,plain,
! [X0] :
( sP8(sK24(sK23(sK33)))
| sP1(sK34)
| p1(sK16(sK15(sK19(sK33))))
| ~ r1(sK19(X0),sK15(sK19(sK33)))
| ~ sP9(X0) ),
inference(subsumption_resolution,[],[f172180,f128878]) ).
fof(f128878,plain,
( sP8(sK24(sK23(sK33)))
| sP1(sK34)
| p1(sK15(sK19(sK33))) ),
inference(resolution,[],[f128863,f93]) ).
fof(f172180,plain,
! [X0] :
( sP8(sK24(sK23(sK33)))
| sP1(sK34)
| p1(sK16(sK15(sK19(sK33))))
| ~ p1(sK15(sK19(sK33)))
| ~ r1(sK19(X0),sK15(sK19(sK33)))
| ~ sP9(X0) ),
inference(resolution,[],[f128883,f106]) ).
fof(f106,plain,
! [X2,X3,X0] :
( ~ r1(X2,X3)
| p1(X3)
| ~ p1(X2)
| ~ r1(sK19(X0),X2)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f128883,plain,
( r1(sK15(sK19(sK33)),sK16(sK15(sK19(sK33))))
| sP8(sK24(sK23(sK33)))
| sP1(sK34) ),
inference(resolution,[],[f128879,f94]) ).
fof(f195347,plain,
! [X0,X1] :
( ~ r1(X0,sK20(sK24(sK23(sK33))))
| p1(X0)
| sP1(sK34)
| ~ r1(X1,X0)
| ~ sP4(X1) ),
inference(subsumption_resolution,[],[f195346,f195131]) ).
fof(f195131,plain,
( ~ p1(sK21(sK20(sK24(sK23(sK33)))))
| sP1(sK34) ),
inference(resolution,[],[f195126,f111]) ).
fof(f111,plain,
! [X0] :
( ~ sP7(X0)
| ~ p1(sK21(X0)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ( ~ p1(sK21(X0))
& r1(X0,sK21(X0)) )
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f51,f52]) ).
fof(f52,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
=> ( ~ p1(sK21(X0))
& r1(X0,sK21(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
| ~ sP7(X0) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X27] :
( ? [X28] :
( ~ p1(X28)
& r1(X27,X28) )
| ~ sP7(X27) ),
inference(nnf_transformation,[],[f15]) ).
fof(f195126,plain,
( sP7(sK20(sK24(sK23(sK33))))
| sP1(sK34) ),
inference(resolution,[],[f195115,f108]) ).
fof(f108,plain,
! [X0] :
( ~ sP8(X0)
| sP7(sK20(X0)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f195346,plain,
! [X0,X1] :
( sP1(sK34)
| p1(sK21(sK20(sK24(sK23(sK33)))))
| p1(X0)
| ~ r1(X0,sK20(sK24(sK23(sK33))))
| ~ r1(X1,X0)
| ~ sP4(X1) ),
inference(subsumption_resolution,[],[f195307,f195125]) ).
fof(f195125,plain,
( sP1(sK34)
| p1(sK20(sK24(sK23(sK33)))) ),
inference(resolution,[],[f195115,f109]) ).
fof(f109,plain,
! [X0] :
( ~ sP8(X0)
| p1(sK20(X0)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f195307,plain,
! [X0,X1] :
( sP1(sK34)
| ~ p1(sK20(sK24(sK23(sK33))))
| p1(sK21(sK20(sK24(sK23(sK33)))))
| p1(X0)
| ~ r1(X0,sK20(sK24(sK23(sK33))))
| ~ r1(X1,X0)
| ~ sP4(X1) ),
inference(resolution,[],[f195130,f120]) ).
fof(f120,plain,
! [X2,X3,X0,X1] :
( ~ r1(X2,X3)
| ~ p1(X2)
| p1(X3)
| p1(X1)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ( p1(X1)
& sP2(X1) )
| ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X38] :
( ! [X39] :
( ( p1(X39)
& sP2(X39) )
| ! [X41] :
( ~ p1(X41)
| ! [X42] :
( p1(X42)
| ~ r1(X41,X42) )
| ~ r1(X39,X41) )
| ~ r1(X38,X39) )
| ~ sP4(X38) ),
inference(nnf_transformation,[],[f12]) ).
fof(f195130,plain,
( r1(sK20(sK24(sK23(sK33))),sK21(sK20(sK24(sK23(sK33)))))
| sP1(sK34) ),
inference(resolution,[],[f195126,f110]) ).
fof(f110,plain,
! [X0] :
( ~ sP7(X0)
| r1(X0,sK21(X0)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f375579,plain,
! [X0,X1] :
( ~ r1(X0,sK26(sK34))
| ~ p1(sK17(X0))
| ~ r1(X1,X0)
| ~ sP11(X1) ),
inference(subsumption_resolution,[],[f375541,f375481]) ).
fof(f375481,plain,
~ p1(sK27(sK26(sK34))),
inference(resolution,[],[f375479,f129]) ).
fof(f129,plain,
! [X0] :
( ~ sP0(X0)
| ~ p1(sK27(X0)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ( ~ p1(sK27(X0))
& r1(X0,sK27(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f77,f78]) ).
fof(f78,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
=> ( ~ p1(sK27(X0))
& r1(X0,sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X45] :
( ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
| ~ sP0(X45) ),
inference(nnf_transformation,[],[f8]) ).
fof(f375479,plain,
sP0(sK26(sK34)),
inference(resolution,[],[f375476,f126]) ).
fof(f126,plain,
! [X0] :
( ~ sP1(X0)
| sP0(sK26(X0)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f375541,plain,
! [X0,X1] :
( p1(sK27(sK26(sK34)))
| ~ p1(sK17(X0))
| ~ r1(X0,sK26(sK34))
| ~ r1(X1,X0)
| ~ sP11(X1) ),
inference(resolution,[],[f375480,f101]) ).
fof(f101,plain,
! [X3,X0,X1,X4] :
( ~ r1(X3,X4)
| p1(X4)
| ~ p1(sK17(X1))
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ( ~ p1(sK17(X1))
& r1(X1,sK17(X1)) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f35,f36]) ).
fof(f36,plain,
! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
=> ( ~ p1(sK17(X1))
& r1(X1,sK17(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP11(X0) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X21] :
( ! [X29] :
( ? [X30] :
( ~ p1(X30)
& r1(X29,X30) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X29,X31) )
| ~ r1(X21,X29) )
| ~ sP11(X21) ),
inference(nnf_transformation,[],[f19]) ).
fof(f375480,plain,
r1(sK26(sK34),sK27(sK26(sK34))),
inference(resolution,[],[f375479,f128]) ).
fof(f128,plain,
! [X0] :
( ~ sP0(X0)
| r1(X0,sK27(X0)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f375758,plain,
p1(sK17(sK34)),
inference(resolution,[],[f375757,f139]) ).
fof(f375757,plain,
r1(sK34,sK17(sK34)),
inference(subsumption_resolution,[],[f375756,f189]) ).
fof(f375756,plain,
( r1(sK34,sK17(sK34))
| ~ sP11(sK33) ),
inference(resolution,[],[f375754,f138]) ).
fof(f375754,plain,
! [X0] :
( ~ r1(X0,sK34)
| r1(sK34,sK17(sK34))
| ~ sP11(X0) ),
inference(resolution,[],[f375578,f375477]) ).
fof(f375578,plain,
! [X0,X1] :
( ~ r1(X0,sK26(sK34))
| r1(X0,sK17(X0))
| ~ r1(X1,X0)
| ~ sP11(X1) ),
inference(subsumption_resolution,[],[f375540,f375481]) ).
fof(f375540,plain,
! [X0,X1] :
( p1(sK27(sK26(sK34)))
| r1(X0,sK17(X0))
| ~ r1(X0,sK26(sK34))
| ~ r1(X1,X0)
| ~ sP11(X1) ),
inference(resolution,[],[f375480,f100]) ).
fof(f100,plain,
! [X3,X0,X1,X4] :
( ~ r1(X3,X4)
| p1(X4)
| r1(X1,sK17(X1))
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL658+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 13:55:27 EDT 2024
% 0.21/0.36 % CPUTime :
% 0.21/0.36 % (9881)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (9886)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.38 % (9882)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38 % (9883)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38 % (9885)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.38 % (9884)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.21/0.38 % (9888)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38 % (9887)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.39 TRYING [3]
% 0.21/0.39 TRYING [4]
% 0.21/0.39 TRYING [3]
% 0.21/0.39 TRYING [4]
% 0.21/0.39 TRYING [4]
% 0.21/0.40 TRYING [5]
% 0.21/0.40 TRYING [4]
% 0.21/0.40 TRYING [5]
% 0.21/0.41 TRYING [5]
% 0.21/0.41 TRYING [5]
% 0.21/0.42 TRYING [6]
% 0.21/0.43 TRYING [6]
% 0.21/0.44 TRYING [6]
% 0.21/0.47 TRYING [6]
% 0.21/0.51 TRYING [7]
% 0.21/0.51 TRYING [7]
% 0.21/0.54 TRYING [7]
% 2.04/0.64 TRYING [7]
% 4.34/1.01 TRYING [8]
% 4.76/1.06 TRYING [8]
% 6.28/1.25 TRYING [8]
% 13.15/2.22 TRYING [8]
% 46.46/6.99 TRYING [9]
% 50.01/7.47 TRYING [9]
% 74.53/10.95 TRYING [9]
% 79.17/11.65 % (9886)First to succeed.
% 79.17/11.65 % (9886)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9881"
% 79.17/11.66 % (9886)Refutation found. Thanks to Tanya!
% 79.17/11.66 % SZS status Theorem for theBenchmark
% 79.17/11.66 % SZS output start Proof for theBenchmark
% See solution above
% 79.17/11.66 % (9886)------------------------------
% 79.17/11.66 % (9886)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 79.17/11.66 % (9886)Termination reason: Refutation
% 79.17/11.66
% 79.17/11.66 % (9886)Memory used [KB]: 106172
% 79.17/11.66 % (9886)Time elapsed: 11.280 s
% 79.17/11.66 % (9886)Instructions burned: 45559 (million)
% 79.17/11.66 % (9881)Success in time 11.16 s
%------------------------------------------------------------------------------