%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL686+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:45:36 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 46 ( 8 unt; 0 def)
% Number of atoms : 1399 ( 0 equ)
% Maximal formula atoms : 140 ( 30 avg)
% Number of connectives : 2264 ( 911 ~; 751 |; 596 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 54 ( 15 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 292 ( 224 !; 68 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f281,plain,
$false,
inference(subsumption_resolution,[],[f280,f152]) ).
fof(f152,plain,
sP5(sK22),
inference(resolution,[],[f141,f63]) ).
fof(f63,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f141,plain,
! [X2] :
( ~ r1(sK22,X2)
| sP5(X2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( r1(sK21,sK22)
& ! [X2] :
( ( ! [X3] :
( ~ r1(X2,X3)
| ( ( ~ p1(X3)
| p2(X3) )
& ( p1(X3)
| ~ p2(X3) ) ) )
& sP5(X2)
& sP6(X2)
& r1(X2,sK23(X2))
& ~ p15(sK23(X2)) )
| ~ r1(sK22,X2) )
& r1(sK24,sK25)
& p1(sK25)
& p15(sK24)
& r1(sK21,sK24) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22,sK23,sK24,sK25])],[f56,f61,f60,f59,f58,f57]) ).
fof(f57,plain,
( ? [X0] :
( ? [X1] :
( r1(X0,X1)
& ! [X2] :
( ( ! [X3] :
( ~ r1(X2,X3)
| ( ( ~ p1(X3)
| p2(X3) )
& ( p1(X3)
| ~ p2(X3) ) ) )
& sP5(X2)
& sP6(X2)
& ? [X4] :
( r1(X2,X4)
& ~ p15(X4) ) )
| ~ r1(X1,X2) ) )
& ? [X5] :
( ? [X6] :
( r1(X5,X6)
& p1(X6) )
& p15(X5)
& r1(X0,X5) ) )
=> ( ? [X1] :
( r1(sK21,X1)
& ! [X2] :
( ( ! [X3] :
( ~ r1(X2,X3)
| ( ( ~ p1(X3)
| p2(X3) )
& ( p1(X3)
| ~ p2(X3) ) ) )
& sP5(X2)
& sP6(X2)
& ? [X4] :
( r1(X2,X4)
& ~ p15(X4) ) )
| ~ r1(X1,X2) ) )
& ? [X5] :
( ? [X6] :
( r1(X5,X6)
& p1(X6) )
& p15(X5)
& r1(sK21,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( ? [X1] :
( r1(sK21,X1)
& ! [X2] :
( ( ! [X3] :
( ~ r1(X2,X3)
| ( ( ~ p1(X3)
| p2(X3) )
& ( p1(X3)
| ~ p2(X3) ) ) )
& sP5(X2)
& sP6(X2)
& ? [X4] :
( r1(X2,X4)
& ~ p15(X4) ) )
| ~ r1(X1,X2) ) )
=> ( r1(sK21,sK22)
& ! [X2] :
( ( ! [X3] :
( ~ r1(X2,X3)
| ( ( ~ p1(X3)
| p2(X3) )
& ( p1(X3)
| ~ p2(X3) ) ) )
& sP5(X2)
& sP6(X2)
& ? [X4] :
( r1(X2,X4)
& ~ p15(X4) ) )
| ~ r1(sK22,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X2] :
( ? [X4] :
( r1(X2,X4)
& ~ p15(X4) )
=> ( r1(X2,sK23(X2))
& ~ p15(sK23(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
( ? [X5] :
( ? [X6] :
( r1(X5,X6)
& p1(X6) )
& p15(X5)
& r1(sK21,X5) )
=> ( ? [X6] :
( r1(sK24,X6)
& p1(X6) )
& p15(sK24)
& r1(sK21,sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
( ? [X6] :
( r1(sK24,X6)
& p1(X6) )
=> ( r1(sK24,sK25)
& p1(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ! [X2] :
( ( ! [X3] :
( ~ r1(X2,X3)
| ( ( ~ p1(X3)
| p2(X3) )
& ( p1(X3)
| ~ p2(X3) ) ) )
& sP5(X2)
& sP6(X2)
& ? [X4] :
( r1(X2,X4)
& ~ p15(X4) ) )
| ~ r1(X1,X2) ) )
& ? [X5] :
( ? [X6] :
( r1(X5,X6)
& p1(X6) )
& p15(X5)
& r1(X0,X5) ) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ! [X2] :
( ( ! [X30] :
( ~ r1(X2,X30)
| ( ( ~ p1(X30)
| p2(X30) )
& ( p1(X30)
| ~ p2(X30) ) ) )
& sP5(X2)
& sP6(X2)
& ? [X4] :
( r1(X2,X4)
& ~ p15(X4) ) )
| ~ r1(X1,X2) ) )
& ? [X31] :
( ? [X32] :
( r1(X31,X32)
& p1(X32) )
& p15(X31)
& r1(X0,X31) ) ),
inference(definition_folding,[],[f11,f18,f17,f16,f15,f14,f13,f12]) ).
fof(f12,plain,
! [X19] :
( ? [X21] :
( r1(X19,X21)
& ? [X23] :
( r1(X21,X23)
& ? [X24] : r1(X23,X24)
& ! [X25] :
( ~ r1(X23,X25)
| ( ( p14(X25)
| ~ p13(X25) )
& ( p13(X25)
| ~ p14(X25) ) ) ) )
& ! [X22] :
( ~ r1(X21,X22)
| ( ( ~ p12(X22)
| p13(X22) )
& ( p12(X22)
| ~ p13(X22) ) ) ) )
| ~ sP0(X19) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f13,plain,
! [X15] :
( ? [X17] :
( ? [X19] :
( sP0(X19)
& ! [X20] :
( ( ( ~ p12(X20)
| p11(X20) )
& ( p12(X20)
| ~ p11(X20) ) )
| ~ r1(X19,X20) )
& r1(X17,X19) )
& ! [X18] :
( ( ( p10(X18)
| ~ p11(X18) )
& ( p11(X18)
| ~ p10(X18) ) )
| ~ r1(X17,X18) )
& r1(X15,X17) )
| ~ sP1(X15) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f14,plain,
! [X11] :
( ? [X13] :
( r1(X11,X13)
& ! [X14] :
( ~ r1(X13,X14)
| ( ( ~ p9(X14)
| p8(X14) )
& ( ~ p8(X14)
| p9(X14) ) ) )
& ? [X15] :
( ! [X16] :
( ~ r1(X15,X16)
| ( ( ~ p9(X16)
| p10(X16) )
& ( p9(X16)
| ~ p10(X16) ) ) )
& sP1(X15)
& r1(X13,X15) ) )
| ~ sP2(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f15,plain,
! [X9] :
( ? [X10] :
( ! [X26] :
( ~ r1(X10,X26)
| ( ( ~ p7(X26)
| p6(X26) )
& ( ~ p6(X26)
| p7(X26) ) ) )
& r1(X9,X10)
& ? [X11] :
( ! [X12] :
( ( ( p8(X12)
| ~ p7(X12) )
& ( p7(X12)
| ~ p8(X12) ) )
| ~ r1(X11,X12) )
& r1(X10,X11)
& sP2(X11) ) )
| ~ sP3(X9) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f16,plain,
! [X7] :
( ? [X8] :
( ? [X9] :
( ! [X27] :
( ~ r1(X9,X27)
| ( ( p5(X27)
| ~ p6(X27) )
& ( p6(X27)
| ~ p5(X27) ) ) )
& sP3(X9)
& r1(X8,X9) )
& ! [X28] :
( ~ r1(X8,X28)
| ( ( p5(X28)
| ~ p4(X28) )
& ( p4(X28)
| ~ p5(X28) ) ) )
& r1(X7,X8) )
| ~ sP4(X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f17,plain,
! [X2] :
( ? [X3] :
( ( p12(X3)
| p13(X3) )
& ( p11(X3)
| p12(X3) )
& ( ~ p9(X3)
| ~ p8(X3) )
& ( p4(X3)
| p5(X3) )
& ( ~ p8(X3)
| ~ p7(X3) )
& ( ~ p12(X3)
| ~ p13(X3) )
& ( ~ p10(X3)
| ~ p9(X3) )
& ( p4(X3)
| p3(X3) )
& ( ~ p3(X3)
| ~ p2(X3) )
& ( p10(X3)
| p9(X3) )
& ( p8(X3)
| p9(X3) )
& ( ~ p11(X3)
| ~ p10(X3) )
& ( p3(X3)
| p2(X3) )
& ( ~ p6(X3)
| ~ p7(X3) )
& ( p13(X3)
| p14(X3) )
& r1(X2,X3)
& ( ~ p1(X3)
| ~ p2(X3) )
& ( p6(X3)
| p5(X3) )
& ( p11(X3)
| p10(X3) )
& ( ~ p5(X3)
| ~ p6(X3) )
& ( ~ p3(X3)
| ~ p4(X3) )
& ( ~ p13(X3)
| ~ p14(X3) )
& ( ~ p11(X3)
| ~ p12(X3) )
& ( p7(X3)
| p6(X3) )
& ( ~ p4(X3)
| ~ p5(X3) )
& ( p7(X3)
| p8(X3) )
& ( p1(X3)
| p2(X3) ) )
| ~ sP5(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f18,plain,
! [X2] :
( ? [X5] :
( ? [X7] :
( r1(X5,X7)
& ! [X29] :
( ~ r1(X7,X29)
| ( ( p3(X29)
| ~ p4(X29) )
& ( ~ p3(X29)
| p4(X29) ) ) )
& sP4(X7) )
& r1(X2,X5)
& ! [X6] :
( ~ r1(X5,X6)
| ( ( p3(X6)
| ~ p2(X6) )
& ( ~ p3(X6)
| p2(X6) ) ) ) )
| ~ sP6(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f11,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ! [X2] :
( ( ! [X30] :
( ~ r1(X2,X30)
| ( ( ~ p1(X30)
| p2(X30) )
& ( p1(X30)
| ~ p2(X30) ) ) )
& ? [X3] :
( ( p12(X3)
| p13(X3) )
& ( p11(X3)
| p12(X3) )
& ( ~ p9(X3)
| ~ p8(X3) )
& ( p4(X3)
| p5(X3) )
& ( ~ p8(X3)
| ~ p7(X3) )
& ( ~ p12(X3)
| ~ p13(X3) )
& ( ~ p10(X3)
| ~ p9(X3) )
& ( p4(X3)
| p3(X3) )
& ( ~ p3(X3)
| ~ p2(X3) )
& ( p10(X3)
| p9(X3) )
& ( p8(X3)
| p9(X3) )
& ( ~ p11(X3)
| ~ p10(X3) )
& ( p3(X3)
| p2(X3) )
& ( ~ p6(X3)
| ~ p7(X3) )
& ( p13(X3)
| p14(X3) )
& r1(X2,X3)
& ( ~ p1(X3)
| ~ p2(X3) )
& ( p6(X3)
| p5(X3) )
& ( p11(X3)
| p10(X3) )
& ( ~ p5(X3)
| ~ p6(X3) )
& ( ~ p3(X3)
| ~ p4(X3) )
& ( ~ p13(X3)
| ~ p14(X3) )
& ( ~ p11(X3)
| ~ p12(X3) )
& ( p7(X3)
| p6(X3) )
& ( ~ p4(X3)
| ~ p5(X3) )
& ( p7(X3)
| p8(X3) )
& ( p1(X3)
| p2(X3) ) )
& ? [X5] :
( ? [X7] :
( r1(X5,X7)
& ! [X29] :
( ~ r1(X7,X29)
| ( ( p3(X29)
| ~ p4(X29) )
& ( ~ p3(X29)
| p4(X29) ) ) )
& ? [X8] :
( ? [X9] :
( ! [X27] :
( ~ r1(X9,X27)
| ( ( p5(X27)
| ~ p6(X27) )
& ( p6(X27)
| ~ p5(X27) ) ) )
& ? [X10] :
( ! [X26] :
( ~ r1(X10,X26)
| ( ( ~ p7(X26)
| p6(X26) )
& ( ~ p6(X26)
| p7(X26) ) ) )
& r1(X9,X10)
& ? [X11] :
( ! [X12] :
( ( ( p8(X12)
| ~ p7(X12) )
& ( p7(X12)
| ~ p8(X12) ) )
| ~ r1(X11,X12) )
& r1(X10,X11)
& ? [X13] :
( r1(X11,X13)
& ! [X14] :
( ~ r1(X13,X14)
| ( ( ~ p9(X14)
| p8(X14) )
& ( ~ p8(X14)
| p9(X14) ) ) )
& ? [X15] :
( ! [X16] :
( ~ r1(X15,X16)
| ( ( ~ p9(X16)
| p10(X16) )
& ( p9(X16)
| ~ p10(X16) ) ) )
& ? [X17] :
( ? [X19] :
( ? [X21] :
( r1(X19,X21)
& ? [X23] :
( r1(X21,X23)
& ? [X24] : r1(X23,X24)
& ! [X25] :
( ~ r1(X23,X25)
| ( ( p14(X25)
| ~ p13(X25) )
& ( p13(X25)
| ~ p14(X25) ) ) ) )
& ! [X22] :
( ~ r1(X21,X22)
| ( ( ~ p12(X22)
| p13(X22) )
& ( p12(X22)
| ~ p13(X22) ) ) ) )
& ! [X20] :
( ( ( ~ p12(X20)
| p11(X20) )
& ( p12(X20)
| ~ p11(X20) ) )
| ~ r1(X19,X20) )
& r1(X17,X19) )
& ! [X18] :
( ( ( p10(X18)
| ~ p11(X18) )
& ( p11(X18)
| ~ p10(X18) ) )
| ~ r1(X17,X18) )
& r1(X15,X17) )
& r1(X13,X15) ) ) ) )
& r1(X8,X9) )
& ! [X28] :
( ~ r1(X8,X28)
| ( ( p5(X28)
| ~ p4(X28) )
& ( p4(X28)
| ~ p5(X28) ) ) )
& r1(X7,X8) ) )
& r1(X2,X5)
& ! [X6] :
( ~ r1(X5,X6)
| ( ( p3(X6)
| ~ p2(X6) )
& ( ~ p3(X6)
| p2(X6) ) ) ) )
& ? [X4] :
( r1(X2,X4)
& ~ p15(X4) ) )
| ~ r1(X1,X2) ) )
& ? [X31] :
( ? [X32] :
( r1(X31,X32)
& p1(X32) )
& p15(X31)
& r1(X0,X31) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X2] :
( ~ ( ! [X5] :
( ! [X7] :
( ~ ! [X29] :
( ~ r1(X7,X29)
| ~ ( ( ~ p4(X29)
& p3(X29) )
| ( ~ p3(X29)
& p4(X29) ) ) )
| ! [X8] :
( ! [X9] :
( ~ ! [X27] :
( ~ r1(X9,X27)
| ~ ( ( ~ p6(X27)
& p5(X27) )
| ( ~ p5(X27)
& p6(X27) ) ) )
| ! [X10] :
( ! [X11] :
( ~ r1(X10,X11)
| ~ ! [X12] :
( ~ r1(X11,X12)
| ~ ( ( ~ p8(X12)
& p7(X12) )
| ( ~ p7(X12)
& p8(X12) ) ) )
| ! [X13] :
( ~ r1(X11,X13)
| ~ ! [X14] :
( ~ ( ( p8(X14)
& ~ p9(X14) )
| ( ~ p8(X14)
& p9(X14) ) )
| ~ r1(X13,X14) )
| ! [X15] :
( ! [X17] :
( ~ r1(X15,X17)
| ! [X19] :
( ~ ! [X20] :
( ~ r1(X19,X20)
| ~ ( ( p12(X20)
& ~ p11(X20) )
| ( ~ p12(X20)
& p11(X20) ) ) )
| ! [X21] :
( ! [X23] :
( ~ r1(X21,X23)
| ! [X24] : ~ r1(X23,X24)
| ~ ! [X25] :
( ~ r1(X23,X25)
| ~ ( ( p14(X25)
& ~ p13(X25) )
| ( ~ p14(X25)
& p13(X25) ) ) ) )
| ~ ! [X22] :
( ~ r1(X21,X22)
| ~ ( ( p13(X22)
& ~ p12(X22) )
| ( p12(X22)
& ~ p13(X22) ) ) )
| ~ r1(X19,X21) )
| ~ r1(X17,X19) )
| ~ ! [X18] :
( ~ r1(X17,X18)
| ~ ( ( ~ p11(X18)
& p10(X18) )
| ( ~ p10(X18)
& p11(X18) ) ) ) )
| ~ ! [X16] :
( ~ r1(X15,X16)
| ~ ( ( ~ p9(X16)
& p10(X16) )
| ( ~ p10(X16)
& p9(X16) ) ) )
| ~ r1(X13,X15) ) ) )
| ~ ! [X26] :
( ~ ( ( p7(X26)
& ~ p6(X26) )
| ( ~ p7(X26)
& p6(X26) ) )
| ~ r1(X10,X26) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ ! [X28] :
( ~ ( ( ~ p4(X28)
& p5(X28) )
| ( p4(X28)
& ~ p5(X28) ) )
| ~ r1(X8,X28) )
| ~ r1(X7,X8) )
| ~ r1(X5,X7) )
| ~ ! [X6] :
( ~ ( ( ~ p2(X6)
& p3(X6) )
| ( p2(X6)
& ~ p3(X6) ) )
| ~ r1(X5,X6) )
| ~ r1(X2,X5) )
| ! [X4] :
( ~ r1(X2,X4)
| p15(X4) )
| ! [X3] :
( ( p7(X3)
& p6(X3) )
| ( ~ p3(X3)
& ~ p4(X3) )
| ( p1(X3)
& p2(X3) )
| ~ r1(X2,X3)
| ( p10(X3)
& p9(X3) )
| ( ~ p11(X3)
& ~ p12(X3) )
| ( ~ p5(X3)
& ~ p6(X3) )
| ( ~ p4(X3)
& ~ p5(X3) )
| ( p12(X3)
& p11(X3) )
| ( p3(X3)
& p4(X3) )
| ( p13(X3)
& p12(X3) )
| ( p8(X3)
& p9(X3) )
| ( p3(X3)
& p2(X3) )
| ( ~ p11(X3)
& ~ p10(X3) )
| ( ~ p14(X3)
& ~ p13(X3) )
| ( p8(X3)
& p7(X3) )
| ( ~ p1(X3)
& ~ p2(X3) )
| ( p5(X3)
& p6(X3) )
| ( ~ p13(X3)
& ~ p12(X3) )
| ( p4(X3)
& p5(X3) )
| ( ~ p7(X3)
& ~ p6(X3) )
| ( p11(X3)
& p10(X3) )
| ( ~ p3(X3)
& ~ p2(X3) )
| ( p13(X3)
& p14(X3) )
| ( ~ p8(X3)
& ~ p9(X3) )
| ( ~ p10(X3)
& ~ p9(X3) )
| ( ~ p7(X3)
& ~ p8(X3) ) )
| ~ ! [X30] :
( ~ r1(X2,X30)
| ~ ( ( p2(X30)
& ~ p1(X30) )
| ( ~ p2(X30)
& p1(X30) ) ) ) )
| ~ r1(X1,X2) ) )
| ! [X31] :
( ! [X32] :
( ~ p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X0,X31)
| ~ p15(X31) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X2] :
( ~ ( ! [X5] :
( ! [X7] :
( ~ ! [X29] :
( ~ r1(X7,X29)
| ~ ( ( ~ p4(X29)
& p3(X29) )
| ( ~ p3(X29)
& p4(X29) ) ) )
| ! [X8] :
( ! [X9] :
( ~ ! [X27] :
( ~ r1(X9,X27)
| ~ ( ( ~ p6(X27)
& p5(X27) )
| ( ~ p5(X27)
& p6(X27) ) ) )
| ! [X10] :
( ! [X11] :
( ~ r1(X10,X11)
| ~ ! [X12] :
( ~ r1(X11,X12)
| ~ ( ( ~ p8(X12)
& p7(X12) )
| ( ~ p7(X12)
& p8(X12) ) ) )
| ! [X13] :
( ~ r1(X11,X13)
| ~ ! [X14] :
( ~ ( ( p8(X14)
& ~ p9(X14) )
| ( ~ p8(X14)
& p9(X14) ) )
| ~ r1(X13,X14) )
| ! [X15] :
( ! [X17] :
( ~ r1(X15,X17)
| ! [X19] :
( ~ ! [X20] :
( ~ r1(X19,X20)
| ~ ( ( p12(X20)
& ~ p11(X20) )
| ( ~ p12(X20)
& p11(X20) ) ) )
| ! [X21] :
( ! [X23] :
( ~ r1(X21,X23)
| ! [X24] : ~ r1(X23,X24)
| ~ ! [X25] :
( ~ r1(X23,X25)
| ~ ( ( p14(X25)
& ~ p13(X25) )
| ( ~ p14(X25)
& p13(X25) ) ) ) )
| ~ ! [X22] :
( ~ r1(X21,X22)
| ~ ( ( p13(X22)
& ~ p12(X22) )
| ( p12(X22)
& ~ p13(X22) ) ) )
| ~ r1(X19,X21) )
| ~ r1(X17,X19) )
| ~ ! [X18] :
( ~ r1(X17,X18)
| ~ ( ( ~ p11(X18)
& p10(X18) )
| ( ~ p10(X18)
& p11(X18) ) ) ) )
| ~ ! [X16] :
( ~ r1(X15,X16)
| ~ ( ( ~ p9(X16)
& p10(X16) )
| ( ~ p10(X16)
& p9(X16) ) ) )
| ~ r1(X13,X15) ) ) )
| ~ ! [X26] :
( ~ ( ( p7(X26)
& ~ p6(X26) )
| ( ~ p7(X26)
& p6(X26) ) )
| ~ r1(X10,X26) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ ! [X28] :
( ~ ( ( ~ p4(X28)
& p5(X28) )
| ( p4(X28)
& ~ p5(X28) ) )
| ~ r1(X8,X28) )
| ~ r1(X7,X8) )
| ~ r1(X5,X7) )
| ~ ! [X6] :
( ~ ( ( ~ p2(X6)
& p3(X6) )
| ( p2(X6)
& ~ p3(X6) ) )
| ~ r1(X5,X6) )
| ~ r1(X2,X5) )
| ! [X4] :
( ~ r1(X2,X4)
| p15(X4) )
| ! [X3] :
( ( p7(X3)
& p6(X3) )
| ( ~ p3(X3)
& ~ p4(X3) )
| ( p1(X3)
& p2(X3) )
| ~ r1(X2,X3)
| ( p10(X3)
& p9(X3) )
| ( ~ p11(X3)
& ~ p12(X3) )
| ( ~ p5(X3)
& ~ p6(X3) )
| ( ~ p4(X3)
& ~ p5(X3) )
| ( p12(X3)
& p11(X3) )
| ( p3(X3)
& p4(X3) )
| ( p13(X3)
& p12(X3) )
| ( p8(X3)
& p9(X3) )
| ( p3(X3)
& p2(X3) )
| ( ~ p11(X3)
& ~ p10(X3) )
| ( ~ p14(X3)
& ~ p13(X3) )
| ( p8(X3)
& p7(X3) )
| ( ~ p1(X3)
& ~ p2(X3) )
| ( p5(X3)
& p6(X3) )
| ( ~ p13(X3)
& ~ p12(X3) )
| ( p4(X3)
& p5(X3) )
| ( ~ p7(X3)
& ~ p6(X3) )
| ( p11(X3)
& p10(X3) )
| ( ~ p3(X3)
& ~ p2(X3) )
| ( p13(X3)
& p14(X3) )
| ( ~ p8(X3)
& ~ p9(X3) )
| ( ~ p10(X3)
& ~ p9(X3) )
| ( ~ p7(X3)
& ~ p8(X3) ) )
| ~ ! [X30] :
( ~ r1(X2,X30)
| ~ ( ( p2(X30)
& ~ p1(X30) )
| ( ~ p2(X30)
& p1(X30) ) ) ) )
| ~ r1(X1,X2) ) )
| ! [X31] :
( ! [X32] :
( ~ p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X0,X31)
| ~ p15(X31) ) ),
inference(true_and_false_elimination,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X3] :
( ( p7(X3)
& p6(X3) )
| ( ~ p3(X3)
& ~ p4(X3) )
| ( p1(X3)
& p2(X3) )
| ~ r1(X2,X3)
| ( p10(X3)
& p9(X3) )
| ( ~ p11(X3)
& ~ p12(X3) )
| ( ~ p5(X3)
& ~ p6(X3) )
| ( ~ p4(X3)
& ~ p5(X3) )
| ( p12(X3)
& p11(X3) )
| ( p3(X3)
& p4(X3) )
| ( p13(X3)
& p12(X3) )
| ( p8(X3)
& p9(X3) )
| ( p3(X3)
& p2(X3) )
| ( ~ p11(X3)
& ~ p10(X3) )
| ( ~ p14(X3)
& ~ p13(X3) )
| ( p8(X3)
& p7(X3) )
| ( ~ p1(X3)
& ~ p2(X3) )
| ( p5(X3)
& p6(X3) )
| ( ~ p13(X3)
& ~ p12(X3) )
| ( p4(X3)
& p5(X3) )
| ( ~ p7(X3)
& ~ p6(X3) )
| ( p11(X3)
& p10(X3) )
| ( ~ p3(X3)
& ~ p2(X3) )
| ( p13(X3)
& p14(X3) )
| ( ~ p8(X3)
& ~ p9(X3) )
| ( ~ p10(X3)
& ~ p9(X3) )
| ( ~ p7(X3)
& ~ p8(X3) ) )
| ! [X4] :
( ~ r1(X2,X4)
| p15(X4) )
| ! [X5] :
( ~ r1(X2,X5)
| ~ ! [X6] :
( ~ ( ( ~ p2(X6)
& p3(X6) )
| ( p2(X6)
& ~ p3(X6) ) )
| ~ r1(X5,X6) )
| ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ~ ! [X12] :
( ~ r1(X11,X12)
| ~ ( ( ~ p8(X12)
& p7(X12) )
| ( ~ p7(X12)
& p8(X12) ) ) )
| ~ r1(X10,X11)
| ! [X13] :
( ~ ! [X14] :
( ~ ( ( p8(X14)
& ~ p9(X14) )
| ( ~ p8(X14)
& p9(X14) ) )
| ~ r1(X13,X14) )
| ! [X15] :
( ~ ! [X16] :
( ~ r1(X15,X16)
| ~ ( ( ~ p9(X16)
& p10(X16) )
| ( ~ p10(X16)
& p9(X16) ) ) )
| ~ r1(X13,X15)
| ! [X17] :
( ~ ! [X18] :
( ~ r1(X17,X18)
| ~ ( ( ~ p11(X18)
& p10(X18) )
| ( ~ p10(X18)
& p11(X18) ) ) )
| ~ r1(X15,X17)
| ! [X19] :
( ~ ! [X20] :
( ~ r1(X19,X20)
| ~ ( ( p12(X20)
& ~ p11(X20) )
| ( ~ p12(X20)
& p11(X20) ) ) )
| ! [X21] :
( ~ r1(X19,X21)
| ~ ! [X22] :
( ~ r1(X21,X22)
| ~ ( ( p13(X22)
& ~ p12(X22) )
| ( p12(X22)
& ~ p13(X22) ) ) )
| ! [X23] :
( ! [X24] :
( $false
| ~ r1(X23,X24) )
| ~ r1(X21,X23)
| ~ ! [X25] :
( ~ r1(X23,X25)
| ~ ( ( p14(X25)
& ~ p13(X25) )
| ( ~ p14(X25)
& p13(X25) ) ) ) ) )
| ~ r1(X17,X19) ) ) )
| ~ r1(X11,X13) ) )
| ~ ! [X26] :
( ~ ( ( p7(X26)
& ~ p6(X26) )
| ( ~ p7(X26)
& p6(X26) ) )
| ~ r1(X10,X26) )
| ~ r1(X9,X10) )
| ~ ! [X27] :
( ~ r1(X9,X27)
| ~ ( ( ~ p6(X27)
& p5(X27) )
| ( ~ p5(X27)
& p6(X27) ) ) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8)
| ~ ! [X28] :
( ~ ( ( ~ p4(X28)
& p5(X28) )
| ( p4(X28)
& ~ p5(X28) ) )
| ~ r1(X8,X28) ) )
| ~ ! [X29] :
( ~ r1(X7,X29)
| ~ ( ( ~ p4(X29)
& p3(X29) )
| ( ~ p3(X29)
& p4(X29) ) ) )
| ~ r1(X5,X7) ) )
| ~ ! [X30] :
( ~ r1(X2,X30)
| ~ ( ( p2(X30)
& ~ p1(X30) )
| ( ~ p2(X30)
& p1(X30) ) ) ) ) )
| ~ r1(X0,X1) )
| ! [X31] :
( ! [X32] :
( ~ p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X0,X31)
| ~ p15(X31) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ! [X1] :
( ( ~ p3(X1)
& ~ p4(X1) )
| ( p5(X1)
& p4(X1) )
| ( p9(X1)
& p10(X1) )
| ( p7(X1)
& p6(X1) )
| ( ~ p10(X1)
& ~ p9(X1) )
| ( ~ p12(X1)
& ~ p11(X1) )
| ( ~ p6(X1)
& ~ p5(X1) )
| ( ~ p11(X1)
& ~ p10(X1) )
| ( ~ p13(X1)
& ~ p14(X1) )
| ( p13(X1)
& p14(X1) )
| ( p8(X1)
& p7(X1) )
| ( ~ p8(X1)
& ~ p7(X1) )
| ( p10(X1)
& p11(X1) )
| ~ r1(X0,X1)
| ( p12(X1)
& p13(X1) )
| ( ~ p8(X1)
& ~ p9(X1) )
| ( ~ p7(X1)
& ~ p6(X1) )
| ( p5(X1)
& p6(X1) )
| ( ~ p5(X1)
& ~ p4(X1) )
| ( p1(X1)
& p2(X1) )
| ( ~ p2(X1)
& ~ p3(X1) )
| ( ~ p1(X1)
& ~ p2(X1) )
| ( p12(X1)
& p11(X1) )
| ( p4(X1)
& p3(X1) )
| ( p9(X1)
& p8(X1) )
| ( ~ p12(X1)
& ~ p13(X1) )
| ( p3(X1)
& p2(X1) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p15(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ ( ( ~ p3(X0)
& p2(X0) )
| ( p3(X0)
& ~ p2(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ ( ( ~ p8(X1)
& p7(X1) )
| ( ~ p7(X1)
& p8(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ p9(X0)
& p8(X0) )
| ( ~ p8(X0)
& p9(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( ~ p10(X1)
& p9(X1) )
| ( p10(X1)
& ~ p9(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p11(X0)
& ~ p10(X0) )
| ( p10(X0)
& ~ p11(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p11(X1)
& ~ p12(X1) )
| ( ~ p11(X1)
& p12(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ ( ( p13(X0)
& ~ p12(X0) )
| ( ~ p13(X0)
& p12(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ ! [X1] :
( ~ ( ( p13(X1)
& ~ p14(X1) )
| ( ~ p13(X1)
& p14(X1) ) )
| ~ r1(X0,X1) ) ) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X0] :
( ~ ( ( ~ p7(X0)
& p6(X0) )
| ( p7(X0)
& ~ p6(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ( p5(X1)
& ~ p6(X1) )
| ( ~ p5(X1)
& p6(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ ( ( p5(X0)
& ~ p4(X0) )
| ( p4(X0)
& ~ p5(X0) ) )
| ~ r1(X1,X0) ) )
| ~ ! [X1] :
( ~ ( ( ~ p3(X1)
& p4(X1) )
| ( ~ p4(X1)
& p3(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ ! [X1] :
( ~ ( ( p2(X1)
& ~ p1(X1) )
| ( ~ p2(X1)
& p1(X1) ) )
| ~ r1(X0,X1) ) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ~ p15(X1) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ! [X1] :
( ( ~ p3(X1)
& ~ p4(X1) )
| ( p5(X1)
& p4(X1) )
| ( p9(X1)
& p10(X1) )
| ( p7(X1)
& p6(X1) )
| ( ~ p10(X1)
& ~ p9(X1) )
| ( ~ p12(X1)
& ~ p11(X1) )
| ( ~ p6(X1)
& ~ p5(X1) )
| ( ~ p11(X1)
& ~ p10(X1) )
| ( ~ p13(X1)
& ~ p14(X1) )
| ( p13(X1)
& p14(X1) )
| ( p8(X1)
& p7(X1) )
| ( ~ p8(X1)
& ~ p7(X1) )
| ( p10(X1)
& p11(X1) )
| ~ r1(X0,X1)
| ( p12(X1)
& p13(X1) )
| ( ~ p8(X1)
& ~ p9(X1) )
| ( ~ p7(X1)
& ~ p6(X1) )
| ( p5(X1)
& p6(X1) )
| ( ~ p5(X1)
& ~ p4(X1) )
| ( p1(X1)
& p2(X1) )
| ( ~ p2(X1)
& ~ p3(X1) )
| ( ~ p1(X1)
& ~ p2(X1) )
| ( p12(X1)
& p11(X1) )
| ( p4(X1)
& p3(X1) )
| ( p9(X1)
& p8(X1) )
| ( ~ p12(X1)
& ~ p13(X1) )
| ( p3(X1)
& p2(X1) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p15(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ ( ( ~ p3(X0)
& p2(X0) )
| ( p3(X0)
& ~ p2(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ ( ( ~ p8(X1)
& p7(X1) )
| ( ~ p7(X1)
& p8(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ p9(X0)
& p8(X0) )
| ( ~ p8(X0)
& p9(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( ~ p10(X1)
& p9(X1) )
| ( p10(X1)
& ~ p9(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p11(X0)
& ~ p10(X0) )
| ( p10(X0)
& ~ p11(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p11(X1)
& ~ p12(X1) )
| ( ~ p11(X1)
& p12(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ ( ( p13(X0)
& ~ p12(X0) )
| ( ~ p13(X0)
& p12(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ ! [X1] :
( ~ ( ( p13(X1)
& ~ p14(X1) )
| ( ~ p13(X1)
& p14(X1) ) )
| ~ r1(X0,X1) ) ) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X0] :
( ~ ( ( ~ p7(X0)
& p6(X0) )
| ( p7(X0)
& ~ p6(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ( p5(X1)
& ~ p6(X1) )
| ( ~ p5(X1)
& p6(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ ( ( p5(X0)
& ~ p4(X0) )
| ( p4(X0)
& ~ p5(X0) ) )
| ~ r1(X1,X0) ) )
| ~ ! [X1] :
( ~ ( ( ~ p3(X1)
& p4(X1) )
| ( ~ p4(X1)
& p3(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ ! [X1] :
( ~ ( ( p2(X1)
& ~ p1(X1) )
| ( ~ p2(X1)
& p1(X1) ) )
| ~ r1(X0,X1) ) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ~ p15(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f280,plain,
~ sP5(sK22),
inference(subsumption_resolution,[],[f278,f276]) ).
fof(f276,plain,
p1(sK9(sK22)),
inference(subsumption_resolution,[],[f264,f275]) ).
fof(f275,plain,
p2(sK9(sK22)),
inference(subsumption_resolution,[],[f274,f152]) ).
fof(f274,plain,
( p2(sK9(sK22))
| ~ sP5(sK22) ),
inference(duplicate_literal_removal,[],[f273]) ).
fof(f273,plain,
( ~ sP5(sK22)
| p2(sK9(sK22))
| p2(sK9(sK22)) ),
inference(resolution,[],[f268,f72]) ).
fof(f72,plain,
! [X0] :
( p1(sK9(X0))
| ~ sP5(X0)
| p2(sK9(X0)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ( ( p12(sK9(X0))
| p13(sK9(X0)) )
& ( p11(sK9(X0))
| p12(sK9(X0)) )
& ( ~ p9(sK9(X0))
| ~ p8(sK9(X0)) )
& ( p4(sK9(X0))
| p5(sK9(X0)) )
& ( ~ p8(sK9(X0))
| ~ p7(sK9(X0)) )
& ( ~ p12(sK9(X0))
| ~ p13(sK9(X0)) )
& ( ~ p10(sK9(X0))
| ~ p9(sK9(X0)) )
& ( p4(sK9(X0))
| p3(sK9(X0)) )
& ( ~ p3(sK9(X0))
| ~ p2(sK9(X0)) )
& ( p10(sK9(X0))
| p9(sK9(X0)) )
& ( p8(sK9(X0))
| p9(sK9(X0)) )
& ( ~ p11(sK9(X0))
| ~ p10(sK9(X0)) )
& ( p3(sK9(X0))
| p2(sK9(X0)) )
& ( ~ p6(sK9(X0))
| ~ p7(sK9(X0)) )
& ( p13(sK9(X0))
| p14(sK9(X0)) )
& r1(X0,sK9(X0))
& ( ~ p1(sK9(X0))
| ~ p2(sK9(X0)) )
& ( p6(sK9(X0))
| p5(sK9(X0)) )
& ( p11(sK9(X0))
| p10(sK9(X0)) )
& ( ~ p5(sK9(X0))
| ~ p6(sK9(X0)) )
& ( ~ p3(sK9(X0))
| ~ p4(sK9(X0)) )
& ( ~ p13(sK9(X0))
| ~ p14(sK9(X0)) )
& ( ~ p11(sK9(X0))
| ~ p12(sK9(X0)) )
& ( p7(sK9(X0))
| p6(sK9(X0)) )
& ( ~ p4(sK9(X0))
| ~ p5(sK9(X0)) )
& ( p7(sK9(X0))
| p8(sK9(X0)) )
& ( p1(sK9(X0))
| p2(sK9(X0)) ) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f27,f28]) ).
fof(f28,plain,
! [X0] :
( ? [X1] :
( ( p12(X1)
| p13(X1) )
& ( p11(X1)
| p12(X1) )
& ( ~ p9(X1)
| ~ p8(X1) )
& ( p4(X1)
| p5(X1) )
& ( ~ p8(X1)
| ~ p7(X1) )
& ( ~ p12(X1)
| ~ p13(X1) )
& ( ~ p10(X1)
| ~ p9(X1) )
& ( p4(X1)
| p3(X1) )
& ( ~ p3(X1)
| ~ p2(X1) )
& ( p10(X1)
| p9(X1) )
& ( p8(X1)
| p9(X1) )
& ( ~ p11(X1)
| ~ p10(X1) )
& ( p3(X1)
| p2(X1) )
& ( ~ p6(X1)
| ~ p7(X1) )
& ( p13(X1)
| p14(X1) )
& r1(X0,X1)
& ( ~ p1(X1)
| ~ p2(X1) )
& ( p6(X1)
| p5(X1) )
& ( p11(X1)
| p10(X1) )
& ( ~ p5(X1)
| ~ p6(X1) )
& ( ~ p3(X1)
| ~ p4(X1) )
& ( ~ p13(X1)
| ~ p14(X1) )
& ( ~ p11(X1)
| ~ p12(X1) )
& ( p7(X1)
| p6(X1) )
& ( ~ p4(X1)
| ~ p5(X1) )
& ( p7(X1)
| p8(X1) )
& ( p1(X1)
| p2(X1) ) )
=> ( ( p12(sK9(X0))
| p13(sK9(X0)) )
& ( p11(sK9(X0))
| p12(sK9(X0)) )
& ( ~ p9(sK9(X0))
| ~ p8(sK9(X0)) )
& ( p4(sK9(X0))
| p5(sK9(X0)) )
& ( ~ p8(sK9(X0))
| ~ p7(sK9(X0)) )
& ( ~ p12(sK9(X0))
| ~ p13(sK9(X0)) )
& ( ~ p10(sK9(X0))
| ~ p9(sK9(X0)) )
& ( p4(sK9(X0))
| p3(sK9(X0)) )
& ( ~ p3(sK9(X0))
| ~ p2(sK9(X0)) )
& ( p10(sK9(X0))
| p9(sK9(X0)) )
& ( p8(sK9(X0))
| p9(sK9(X0)) )
& ( ~ p11(sK9(X0))
| ~ p10(sK9(X0)) )
& ( p3(sK9(X0))
| p2(sK9(X0)) )
& ( ~ p6(sK9(X0))
| ~ p7(sK9(X0)) )
& ( p13(sK9(X0))
| p14(sK9(X0)) )
& r1(X0,sK9(X0))
& ( ~ p1(sK9(X0))
| ~ p2(sK9(X0)) )
& ( p6(sK9(X0))
| p5(sK9(X0)) )
& ( p11(sK9(X0))
| p10(sK9(X0)) )
& ( ~ p5(sK9(X0))
| ~ p6(sK9(X0)) )
& ( ~ p3(sK9(X0))
| ~ p4(sK9(X0)) )
& ( ~ p13(sK9(X0))
| ~ p14(sK9(X0)) )
& ( ~ p11(sK9(X0))
| ~ p12(sK9(X0)) )
& ( p7(sK9(X0))
| p6(sK9(X0)) )
& ( ~ p4(sK9(X0))
| ~ p5(sK9(X0)) )
& ( p7(sK9(X0))
| p8(sK9(X0)) )
& ( p1(sK9(X0))
| p2(sK9(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0] :
( ? [X1] :
( ( p12(X1)
| p13(X1) )
& ( p11(X1)
| p12(X1) )
& ( ~ p9(X1)
| ~ p8(X1) )
& ( p4(X1)
| p5(X1) )
& ( ~ p8(X1)
| ~ p7(X1) )
& ( ~ p12(X1)
| ~ p13(X1) )
& ( ~ p10(X1)
| ~ p9(X1) )
& ( p4(X1)
| p3(X1) )
& ( ~ p3(X1)
| ~ p2(X1) )
& ( p10(X1)
| p9(X1) )
& ( p8(X1)
| p9(X1) )
& ( ~ p11(X1)
| ~ p10(X1) )
& ( p3(X1)
| p2(X1) )
& ( ~ p6(X1)
| ~ p7(X1) )
& ( p13(X1)
| p14(X1) )
& r1(X0,X1)
& ( ~ p1(X1)
| ~ p2(X1) )
& ( p6(X1)
| p5(X1) )
& ( p11(X1)
| p10(X1) )
& ( ~ p5(X1)
| ~ p6(X1) )
& ( ~ p3(X1)
| ~ p4(X1) )
& ( ~ p13(X1)
| ~ p14(X1) )
& ( ~ p11(X1)
| ~ p12(X1) )
& ( p7(X1)
| p6(X1) )
& ( ~ p4(X1)
| ~ p5(X1) )
& ( p7(X1)
| p8(X1) )
& ( p1(X1)
| p2(X1) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X2] :
( ? [X3] :
( ( p12(X3)
| p13(X3) )
& ( p11(X3)
| p12(X3) )
& ( ~ p9(X3)
| ~ p8(X3) )
& ( p4(X3)
| p5(X3) )
& ( ~ p8(X3)
| ~ p7(X3) )
& ( ~ p12(X3)
| ~ p13(X3) )
& ( ~ p10(X3)
| ~ p9(X3) )
& ( p4(X3)
| p3(X3) )
& ( ~ p3(X3)
| ~ p2(X3) )
& ( p10(X3)
| p9(X3) )
& ( p8(X3)
| p9(X3) )
& ( ~ p11(X3)
| ~ p10(X3) )
& ( p3(X3)
| p2(X3) )
& ( ~ p6(X3)
| ~ p7(X3) )
& ( p13(X3)
| p14(X3) )
& r1(X2,X3)
& ( ~ p1(X3)
| ~ p2(X3) )
& ( p6(X3)
| p5(X3) )
& ( p11(X3)
| p10(X3) )
& ( ~ p5(X3)
| ~ p6(X3) )
& ( ~ p3(X3)
| ~ p4(X3) )
& ( ~ p13(X3)
| ~ p14(X3) )
& ( ~ p11(X3)
| ~ p12(X3) )
& ( p7(X3)
| p6(X3) )
& ( ~ p4(X3)
| ~ p5(X3) )
& ( p7(X3)
| p8(X3) )
& ( p1(X3)
| p2(X3) ) )
| ~ sP5(X2) ),
inference(nnf_transformation,[],[f17]) ).
fof(f268,plain,
( ~ p1(sK9(sK22))
| p2(sK9(sK22)) ),
inference(resolution,[],[f227,f153]) ).
fof(f153,plain,
r1(sK22,sK9(sK22)),
inference(resolution,[],[f152,f83]) ).
fof(f83,plain,
! [X0] :
( ~ sP5(X0)
| r1(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f227,plain,
! [X3] :
( ~ r1(sK22,X3)
| ~ p1(X3)
| p2(X3) ),
inference(resolution,[],[f143,f63]) ).
fof(f143,plain,
! [X2,X3] :
( ~ r1(sK22,X2)
| ~ p1(X3)
| p2(X3)
| ~ r1(X2,X3) ),
inference(cnf_transformation,[],[f62]) ).
fof(f264,plain,
( ~ p2(sK9(sK22))
| p1(sK9(sK22)) ),
inference(resolution,[],[f211,f153]) ).
fof(f211,plain,
! [X3] :
( ~ r1(sK22,X3)
| ~ p2(X3)
| p1(X3) ),
inference(resolution,[],[f142,f63]) ).
fof(f142,plain,
! [X2,X3] :
( ~ r1(sK22,X2)
| ~ p2(X3)
| p1(X3)
| ~ r1(X2,X3) ),
inference(cnf_transformation,[],[f62]) ).
fof(f278,plain,
( ~ p1(sK9(sK22))
| ~ sP5(sK22) ),
inference(resolution,[],[f275,f82]) ).
fof(f82,plain,
! [X0] :
( ~ p2(sK9(X0))
| ~ sP5(X0)
| ~ p1(sK9(X0)) ),
inference(cnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL686+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 02:45:30 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.48 % (6327)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.49 % (6319)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.49 % (6343)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.49 % (6325)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.18/0.50 % (6327)First to succeed.
% 0.18/0.50 % (6326)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (6336)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50 % (6325)Instruction limit reached!
% 0.18/0.50 % (6325)------------------------------
% 0.18/0.50 % (6325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (6325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (6325)Termination reason: Unknown
% 0.18/0.50 % (6325)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (6325)Memory used [KB]: 6524
% 0.18/0.50 % (6325)Time elapsed: 0.112 s
% 0.18/0.50 % (6325)Instructions burned: 12 (million)
% 0.18/0.50 % (6325)------------------------------
% 0.18/0.50 % (6325)------------------------------
% 0.18/0.50 % (6335)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.18/0.50 % (6328)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (6320)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.51 % (6341)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.51 % (6327)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Theorem for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (6327)------------------------------
% 0.18/0.51 % (6327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (6327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (6327)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (6327)Memory used [KB]: 1791
% 0.18/0.51 % (6327)Time elapsed: 0.109 s
% 0.18/0.51 % (6327)Instructions burned: 8 (million)
% 0.18/0.51 % (6327)------------------------------
% 0.18/0.51 % (6327)------------------------------
% 0.18/0.51 % (6314)Success in time 0.168 s
%------------------------------------------------------------------------------