%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL686+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 18:18:49 EDT 2023
% Result : Theorem 0.17s 0.40s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 35
% Syntax : Number of formulae : 73 ( 10 unt; 0 def)
% Number of atoms : 1414 ( 0 equ)
% Maximal formula atoms : 140 ( 19 avg)
% Number of connectives : 2257 ( 916 ~; 764 |; 572 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 45 ( 44 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 306 (; 244 !; 62 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f710,plain,
$false,
inference(subsumption_resolution,[],[f708,f631]) ).
fof(f631,plain,
p1(sK29(sK44)),
inference(subsumption_resolution,[],[f630,f557]) ).
fof(f557,plain,
( p2(sK29(sK44))
| p1(sK29(sK44)) ),
inference(resolution,[],[f164,f238]) ).
fof(f238,plain,
sP24(sK44),
inference(resolution,[],[f134,f234]) ).
fof(f234,plain,
sP27(sK44),
inference(resolution,[],[f232,f231]) ).
fof(f231,plain,
! [X2] :
( ~ r1(sK44,X2)
| sP27(X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ! [X2] :
( sP27(X2)
| ~ r1(sK44,X2) )
& r1(sK43,sK44)
& p1(sK46)
& r1(sK45,sK46)
& p15(sK45)
& r1(sK43,sK45) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44,sK45,sK46])],[f125,f129,f128,f127,f126]) ).
fof(f126,plain,
( ? [X0] :
( ? [X1] :
( ! [X2] :
( sP27(X2)
| ~ r1(X1,X2) )
& r1(X0,X1) )
& ? [X3] :
( ? [X4] :
( p1(X4)
& r1(X3,X4) )
& p15(X3)
& r1(X0,X3) ) )
=> ( ? [X1] :
( ! [X2] :
( sP27(X2)
| ~ r1(X1,X2) )
& r1(sK43,X1) )
& ? [X3] :
( ? [X4] :
( p1(X4)
& r1(X3,X4) )
& p15(X3)
& r1(sK43,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
( ? [X1] :
( ! [X2] :
( sP27(X2)
| ~ r1(X1,X2) )
& r1(sK43,X1) )
=> ( ! [X2] :
( sP27(X2)
| ~ r1(sK44,X2) )
& r1(sK43,sK44) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
( ? [X3] :
( ? [X4] :
( p1(X4)
& r1(X3,X4) )
& p15(X3)
& r1(sK43,X3) )
=> ( ? [X4] :
( p1(X4)
& r1(sK45,X4) )
& p15(sK45)
& r1(sK43,sK45) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( ? [X4] :
( p1(X4)
& r1(sK45,X4) )
=> ( p1(sK46)
& r1(sK45,sK46) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( sP27(X2)
| ~ r1(X1,X2) )
& r1(X0,X1) )
& ? [X3] :
( ? [X4] :
( p1(X4)
& r1(X3,X4) )
& p15(X3)
& r1(X0,X3) ) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( sP27(X2)
| ~ r1(X1,X2) )
& r1(X0,X1) )
& ? [X31] :
( ? [X32] :
( p1(X32)
& r1(X31,X32) )
& p15(X31)
& r1(X0,X31) ) ),
inference(definition_folding,[],[f8,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11]) ).
fof(f11,plain,
! [X28] :
( ! [X29] :
( ( ( ~ p13(X29)
| p14(X29) )
& ( p13(X29)
| ~ p14(X29) ) )
| ~ r1(X28,X29) )
| ~ sP0(X28) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f12,plain,
! [X26] :
( ? [X28] :
( sP0(X28)
& ? [X30] : r1(X28,X30)
& r1(X26,X28) )
| ~ sP1(X26) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f13,plain,
! [X26] :
( ! [X27] :
( ( ( ~ p12(X27)
| p13(X27) )
& ( p12(X27)
| ~ p13(X27) ) )
| ~ r1(X26,X27) )
| ~ sP2(X26) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f14,plain,
! [X24] :
( ? [X26] :
( sP2(X26)
& sP1(X26)
& r1(X24,X26) )
| ~ sP3(X24) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f15,plain,
! [X24] :
( ! [X25] :
( ( ( ~ p11(X25)
| p12(X25) )
& ( p11(X25)
| ~ p12(X25) ) )
| ~ r1(X24,X25) )
| ~ sP4(X24) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f16,plain,
! [X22] :
( ? [X24] :
( sP4(X24)
& sP3(X24)
& r1(X22,X24) )
| ~ sP5(X22) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f17,plain,
! [X22] :
( ! [X23] :
( ( ( ~ p10(X23)
| p11(X23) )
& ( p10(X23)
| ~ p11(X23) ) )
| ~ r1(X22,X23) )
| ~ sP6(X22) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f18,plain,
! [X20] :
( ? [X22] :
( sP6(X22)
& sP5(X22)
& r1(X20,X22) )
| ~ sP7(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f19,plain,
! [X20] :
( ! [X21] :
( ( ( ~ p9(X21)
| p10(X21) )
& ( p9(X21)
| ~ p10(X21) ) )
| ~ r1(X20,X21) )
| ~ sP8(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f20,plain,
! [X18] :
( ? [X20] :
( sP8(X20)
& sP7(X20)
& r1(X18,X20) )
| ~ sP9(X18) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f21,plain,
! [X18] :
( ! [X19] :
( ( ( ~ p8(X19)
| p9(X19) )
& ( p8(X19)
| ~ p9(X19) ) )
| ~ r1(X18,X19) )
| ~ sP10(X18) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f22,plain,
! [X16] :
( ? [X18] :
( sP10(X18)
& sP9(X18)
& r1(X16,X18) )
| ~ sP11(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f23,plain,
! [X16] :
( ! [X17] :
( ( ( ~ p7(X17)
| p8(X17) )
& ( p7(X17)
| ~ p8(X17) ) )
| ~ r1(X16,X17) )
| ~ sP12(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f24,plain,
! [X14] :
( ? [X16] :
( sP12(X16)
& sP11(X16)
& r1(X14,X16) )
| ~ sP13(X14) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f25,plain,
! [X14] :
( ! [X15] :
( ( ( ~ p6(X15)
| p7(X15) )
& ( p6(X15)
| ~ p7(X15) ) )
| ~ r1(X14,X15) )
| ~ sP14(X14) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f26,plain,
! [X12] :
( ? [X14] :
( sP14(X14)
& sP13(X14)
& r1(X12,X14) )
| ~ sP15(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f27,plain,
! [X12] :
( ! [X13] :
( ( ( ~ p5(X13)
| p6(X13) )
& ( p5(X13)
| ~ p6(X13) ) )
| ~ r1(X12,X13) )
| ~ sP16(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f28,plain,
! [X10] :
( ? [X12] :
( sP16(X12)
& sP15(X12)
& r1(X10,X12) )
| ~ sP17(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f29,plain,
! [X10] :
( ! [X11] :
( ( ( ~ p4(X11)
| p5(X11) )
& ( p4(X11)
| ~ p5(X11) ) )
| ~ r1(X10,X11) )
| ~ sP18(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f30,plain,
! [X8] :
( ? [X10] :
( sP18(X10)
& sP17(X10)
& r1(X8,X10) )
| ~ sP19(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f31,plain,
! [X8] :
( ! [X9] :
( ( ( ~ p3(X9)
| p4(X9) )
& ( p3(X9)
| ~ p4(X9) ) )
| ~ r1(X8,X9) )
| ~ sP20(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f32,plain,
! [X6] :
( ? [X8] :
( sP20(X8)
& sP19(X8)
& r1(X6,X8) )
| ~ sP21(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f33,plain,
! [X6] :
( ! [X7] :
( ( ( ~ p2(X7)
| p3(X7) )
& ( p2(X7)
| ~ p3(X7) ) )
| ~ r1(X6,X7) )
| ~ sP22(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f34,plain,
! [X2] :
( ? [X6] :
( sP22(X6)
& sP21(X6)
& r1(X2,X6) )
| ~ sP23(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f35,plain,
! [X2] :
( ? [X3] :
( ( ~ p1(X3)
| ~ p2(X3) )
& ( p2(X3)
| p1(X3) )
& ( ~ p2(X3)
| ~ p3(X3) )
& ( p3(X3)
| p2(X3) )
& ( ~ p3(X3)
| ~ p4(X3) )
& ( p4(X3)
| p3(X3) )
& ( ~ p4(X3)
| ~ p5(X3) )
& ( p5(X3)
| p4(X3) )
& ( ~ p5(X3)
| ~ p6(X3) )
& ( p6(X3)
| p5(X3) )
& ( ~ p6(X3)
| ~ p7(X3) )
& ( p7(X3)
| p6(X3) )
& ( ~ p7(X3)
| ~ p8(X3) )
& ( p8(X3)
| p7(X3) )
& ( ~ p8(X3)
| ~ p9(X3) )
& ( p9(X3)
| p8(X3) )
& ( ~ p9(X3)
| ~ p10(X3) )
& ( p10(X3)
| p9(X3) )
& ( ~ p10(X3)
| ~ p11(X3) )
& ( p11(X3)
| p10(X3) )
& ( ~ p11(X3)
| ~ p12(X3) )
& ( p12(X3)
| p11(X3) )
& ( ~ p12(X3)
| ~ p13(X3) )
& ( p13(X3)
| p12(X3) )
& ( ~ p13(X3)
| ~ p14(X3) )
& ( p14(X3)
| p13(X3) )
& r1(X2,X3) )
| ~ sP24(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f36,plain,
! [X2] :
( ! [X5] :
( ( ( ~ p1(X5)
| p2(X5) )
& ( p1(X5)
| ~ p2(X5) ) )
| ~ r1(X2,X5) )
| ~ sP25(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f37,plain,
! [X2] :
( ? [X4] :
( ~ p15(X4)
& r1(X2,X4) )
| ~ sP26(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f38,plain,
! [X2] :
( ( sP24(X2)
& sP26(X2)
& sP25(X2)
& sP23(X2) )
| ~ sP27(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f8,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ( ? [X3] :
( ( ~ p1(X3)
| ~ p2(X3) )
& ( p2(X3)
| p1(X3) )
& ( ~ p2(X3)
| ~ p3(X3) )
& ( p3(X3)
| p2(X3) )
& ( ~ p3(X3)
| ~ p4(X3) )
& ( p4(X3)
| p3(X3) )
& ( ~ p4(X3)
| ~ p5(X3) )
& ( p5(X3)
| p4(X3) )
& ( ~ p5(X3)
| ~ p6(X3) )
& ( p6(X3)
| p5(X3) )
& ( ~ p6(X3)
| ~ p7(X3) )
& ( p7(X3)
| p6(X3) )
& ( ~ p7(X3)
| ~ p8(X3) )
& ( p8(X3)
| p7(X3) )
& ( ~ p8(X3)
| ~ p9(X3) )
& ( p9(X3)
| p8(X3) )
& ( ~ p9(X3)
| ~ p10(X3) )
& ( p10(X3)
| p9(X3) )
& ( ~ p10(X3)
| ~ p11(X3) )
& ( p11(X3)
| p10(X3) )
& ( ~ p11(X3)
| ~ p12(X3) )
& ( p12(X3)
| p11(X3) )
& ( ~ p12(X3)
| ~ p13(X3) )
& ( p13(X3)
| p12(X3) )
& ( ~ p13(X3)
| ~ p14(X3) )
& ( p14(X3)
| p13(X3) )
& r1(X2,X3) )
& ? [X4] :
( ~ p15(X4)
& r1(X2,X4) )
& ! [X5] :
( ( ( ~ p1(X5)
| p2(X5) )
& ( p1(X5)
| ~ p2(X5) ) )
| ~ r1(X2,X5) )
& ? [X6] :
( ! [X7] :
( ( ( ~ p2(X7)
| p3(X7) )
& ( p2(X7)
| ~ p3(X7) ) )
| ~ r1(X6,X7) )
& ? [X8] :
( ! [X9] :
( ( ( ~ p3(X9)
| p4(X9) )
& ( p3(X9)
| ~ p4(X9) ) )
| ~ r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( ( ( ~ p4(X11)
| p5(X11) )
& ( p4(X11)
| ~ p5(X11) ) )
| ~ r1(X10,X11) )
& ? [X12] :
( ! [X13] :
( ( ( ~ p5(X13)
| p6(X13) )
& ( p5(X13)
| ~ p6(X13) ) )
| ~ r1(X12,X13) )
& ? [X14] :
( ! [X15] :
( ( ( ~ p6(X15)
| p7(X15) )
& ( p6(X15)
| ~ p7(X15) ) )
| ~ r1(X14,X15) )
& ? [X16] :
( ! [X17] :
( ( ( ~ p7(X17)
| p8(X17) )
& ( p7(X17)
| ~ p8(X17) ) )
| ~ r1(X16,X17) )
& ? [X18] :
( ! [X19] :
( ( ( ~ p8(X19)
| p9(X19) )
& ( p8(X19)
| ~ p9(X19) ) )
| ~ r1(X18,X19) )
& ? [X20] :
( ! [X21] :
( ( ( ~ p9(X21)
| p10(X21) )
& ( p9(X21)
| ~ p10(X21) ) )
| ~ r1(X20,X21) )
& ? [X22] :
( ! [X23] :
( ( ( ~ p10(X23)
| p11(X23) )
& ( p10(X23)
| ~ p11(X23) ) )
| ~ r1(X22,X23) )
& ? [X24] :
( ! [X25] :
( ( ( ~ p11(X25)
| p12(X25) )
& ( p11(X25)
| ~ p12(X25) ) )
| ~ r1(X24,X25) )
& ? [X26] :
( ! [X27] :
( ( ( ~ p12(X27)
| p13(X27) )
& ( p12(X27)
| ~ p13(X27) ) )
| ~ r1(X26,X27) )
& ? [X28] :
( ! [X29] :
( ( ( ~ p13(X29)
| p14(X29) )
& ( p13(X29)
| ~ p14(X29) ) )
| ~ r1(X28,X29) )
& ? [X30] : r1(X28,X30)
& r1(X26,X28) )
& r1(X24,X26) )
& r1(X22,X24) )
& r1(X20,X22) )
& r1(X18,X20) )
& r1(X16,X18) )
& r1(X14,X16) )
& r1(X12,X14) )
& r1(X10,X12) )
& r1(X8,X10) )
& r1(X6,X8) )
& r1(X2,X6) ) )
| ~ r1(X1,X2) )
& r1(X0,X1) )
& ? [X31] :
( ? [X32] :
( p1(X32)
& r1(X31,X32) )
& p15(X31)
& r1(X0,X31) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
? [X0] :
~ ( ! [X1] :
( ~ ! [X2] :
( ~ ( ! [X3] :
( ( p1(X3)
& p2(X3) )
| ( ~ p2(X3)
& ~ p1(X3) )
| ( p2(X3)
& p3(X3) )
| ( ~ p3(X3)
& ~ p2(X3) )
| ( p3(X3)
& p4(X3) )
| ( ~ p4(X3)
& ~ p3(X3) )
| ( p4(X3)
& p5(X3) )
| ( ~ p5(X3)
& ~ p4(X3) )
| ( p5(X3)
& p6(X3) )
| ( ~ p6(X3)
& ~ p5(X3) )
| ( p6(X3)
& p7(X3) )
| ( ~ p7(X3)
& ~ p6(X3) )
| ( p7(X3)
& p8(X3) )
| ( ~ p8(X3)
& ~ p7(X3) )
| ( p8(X3)
& p9(X3) )
| ( ~ p9(X3)
& ~ p8(X3) )
| ( p9(X3)
& p10(X3) )
| ( ~ p10(X3)
& ~ p9(X3) )
| ( p10(X3)
& p11(X3) )
| ( ~ p11(X3)
& ~ p10(X3) )
| ( p11(X3)
& p12(X3) )
| ( ~ p12(X3)
& ~ p11(X3) )
| ( p12(X3)
& p13(X3) )
| ( ~ p13(X3)
& ~ p12(X3) )
| ( p13(X3)
& p14(X3) )
| ( ~ p14(X3)
& ~ p13(X3) )
| ~ r1(X2,X3) )
| ! [X4] :
( p15(X4)
| ~ r1(X2,X4) )
| ~ ! [X5] :
( ~ ( ( p1(X5)
& ~ p2(X5) )
| ( ~ p1(X5)
& p2(X5) ) )
| ~ r1(X2,X5) )
| ! [X6] :
( ~ ! [X7] :
( ~ ( ( p2(X7)
& ~ p3(X7) )
| ( ~ p2(X7)
& p3(X7) ) )
| ~ r1(X6,X7) )
| ! [X8] :
( ~ ! [X9] :
( ~ ( ( p3(X9)
& ~ p4(X9) )
| ( ~ p3(X9)
& p4(X9) ) )
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( ~ ( ( p4(X11)
& ~ p5(X11) )
| ( ~ p4(X11)
& p5(X11) ) )
| ~ r1(X10,X11) )
| ! [X12] :
( ~ ! [X13] :
( ~ ( ( p5(X13)
& ~ p6(X13) )
| ( ~ p5(X13)
& p6(X13) ) )
| ~ r1(X12,X13) )
| ! [X14] :
( ~ ! [X15] :
( ~ ( ( p6(X15)
& ~ p7(X15) )
| ( ~ p6(X15)
& p7(X15) ) )
| ~ r1(X14,X15) )
| ! [X16] :
( ~ ! [X17] :
( ~ ( ( p7(X17)
& ~ p8(X17) )
| ( ~ p7(X17)
& p8(X17) ) )
| ~ r1(X16,X17) )
| ! [X18] :
( ~ ! [X19] :
( ~ ( ( p8(X19)
& ~ p9(X19) )
| ( ~ p8(X19)
& p9(X19) ) )
| ~ r1(X18,X19) )
| ! [X20] :
( ~ ! [X21] :
( ~ ( ( p9(X21)
& ~ p10(X21) )
| ( ~ p9(X21)
& p10(X21) ) )
| ~ r1(X20,X21) )
| ! [X22] :
( ~ ! [X23] :
( ~ ( ( p10(X23)
& ~ p11(X23) )
| ( ~ p10(X23)
& p11(X23) ) )
| ~ r1(X22,X23) )
| ! [X24] :
( ~ ! [X25] :
( ~ ( ( p11(X25)
& ~ p12(X25) )
| ( ~ p11(X25)
& p12(X25) ) )
| ~ r1(X24,X25) )
| ! [X26] :
( ~ ! [X27] :
( ~ ( ( p12(X27)
& ~ p13(X27) )
| ( ~ p12(X27)
& p13(X27) ) )
| ~ r1(X26,X27) )
| ! [X28] :
( ~ ! [X29] :
( ~ ( ( p13(X29)
& ~ p14(X29) )
| ( ~ p13(X29)
& p14(X29) ) )
| ~ r1(X28,X29) )
| ! [X30] : ~ r1(X28,X30)
| ~ r1(X26,X28) )
| ~ r1(X24,X26) )
| ~ r1(X22,X24) )
| ~ r1(X20,X22) )
| ~ r1(X18,X20) )
| ~ r1(X16,X18) )
| ~ r1(X14,X16) )
| ~ r1(X12,X14) )
| ~ r1(X10,X12) )
| ~ r1(X8,X10) )
| ~ r1(X6,X8) )
| ~ r1(X2,X6) ) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ! [X31] :
( ! [X32] :
( ~ p1(X32)
| ~ r1(X31,X32) )
| ~ p15(X31)
| ~ r1(X0,X31) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X2] :
( ~ ( ! [X3] :
( ( p1(X3)
& p2(X3) )
| ( ~ p2(X3)
& ~ p1(X3) )
| ( p2(X3)
& p3(X3) )
| ( ~ p3(X3)
& ~ p2(X3) )
| ( p3(X3)
& p4(X3) )
| ( ~ p4(X3)
& ~ p3(X3) )
| ( p4(X3)
& p5(X3) )
| ( ~ p5(X3)
& ~ p4(X3) )
| ( p5(X3)
& p6(X3) )
| ( ~ p6(X3)
& ~ p5(X3) )
| ( p6(X3)
& p7(X3) )
| ( ~ p7(X3)
& ~ p6(X3) )
| ( p7(X3)
& p8(X3) )
| ( ~ p8(X3)
& ~ p7(X3) )
| ( p8(X3)
& p9(X3) )
| ( ~ p9(X3)
& ~ p8(X3) )
| ( p9(X3)
& p10(X3) )
| ( ~ p10(X3)
& ~ p9(X3) )
| ( p10(X3)
& p11(X3) )
| ( ~ p11(X3)
& ~ p10(X3) )
| ( p11(X3)
& p12(X3) )
| ( ~ p12(X3)
& ~ p11(X3) )
| ( p12(X3)
& p13(X3) )
| ( ~ p13(X3)
& ~ p12(X3) )
| ( p13(X3)
& p14(X3) )
| ( ~ p14(X3)
& ~ p13(X3) )
| ~ r1(X2,X3) )
| ! [X4] :
( p15(X4)
| ~ r1(X2,X4) )
| ~ ! [X5] :
( ~ ( ( p1(X5)
& ~ p2(X5) )
| ( ~ p1(X5)
& p2(X5) ) )
| ~ r1(X2,X5) )
| ! [X6] :
( ~ ! [X7] :
( ~ ( ( p2(X7)
& ~ p3(X7) )
| ( ~ p2(X7)
& p3(X7) ) )
| ~ r1(X6,X7) )
| ! [X8] :
( ~ ! [X9] :
( ~ ( ( p3(X9)
& ~ p4(X9) )
| ( ~ p3(X9)
& p4(X9) ) )
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( ~ ( ( p4(X11)
& ~ p5(X11) )
| ( ~ p4(X11)
& p5(X11) ) )
| ~ r1(X10,X11) )
| ! [X12] :
( ~ ! [X13] :
( ~ ( ( p5(X13)
& ~ p6(X13) )
| ( ~ p5(X13)
& p6(X13) ) )
| ~ r1(X12,X13) )
| ! [X14] :
( ~ ! [X15] :
( ~ ( ( p6(X15)
& ~ p7(X15) )
| ( ~ p6(X15)
& p7(X15) ) )
| ~ r1(X14,X15) )
| ! [X16] :
( ~ ! [X17] :
( ~ ( ( p7(X17)
& ~ p8(X17) )
| ( ~ p7(X17)
& p8(X17) ) )
| ~ r1(X16,X17) )
| ! [X18] :
( ~ ! [X19] :
( ~ ( ( p8(X19)
& ~ p9(X19) )
| ( ~ p8(X19)
& p9(X19) ) )
| ~ r1(X18,X19) )
| ! [X20] :
( ~ ! [X21] :
( ~ ( ( p9(X21)
& ~ p10(X21) )
| ( ~ p9(X21)
& p10(X21) ) )
| ~ r1(X20,X21) )
| ! [X22] :
( ~ ! [X23] :
( ~ ( ( p10(X23)
& ~ p11(X23) )
| ( ~ p10(X23)
& p11(X23) ) )
| ~ r1(X22,X23) )
| ! [X24] :
( ~ ! [X25] :
( ~ ( ( p11(X25)
& ~ p12(X25) )
| ( ~ p11(X25)
& p12(X25) ) )
| ~ r1(X24,X25) )
| ! [X26] :
( ~ ! [X27] :
( ~ ( ( p12(X27)
& ~ p13(X27) )
| ( ~ p12(X27)
& p13(X27) ) )
| ~ r1(X26,X27) )
| ! [X28] :
( ~ ! [X29] :
( ~ ( ( p13(X29)
& ~ p14(X29) )
| ( ~ p13(X29)
& p14(X29) ) )
| ~ r1(X28,X29) )
| ! [X30] : ~ r1(X28,X30)
| ~ r1(X26,X28) )
| ~ r1(X24,X26) )
| ~ r1(X22,X24) )
| ~ r1(X20,X22) )
| ~ r1(X18,X20) )
| ~ r1(X16,X18) )
| ~ r1(X14,X16) )
| ~ r1(X12,X14) )
| ~ r1(X10,X12) )
| ~ r1(X8,X10) )
| ~ r1(X6,X8) )
| ~ r1(X2,X6) ) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ! [X31] :
( ! [X32] :
( ~ p1(X32)
| ~ r1(X31,X32) )
| ~ p15(X31)
| ~ r1(X0,X31) ) ),
inference(true_and_false_elimination,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X2] :
( ~ ( ! [X3] :
( ( p1(X3)
& p2(X3) )
| ( ~ p2(X3)
& ~ p1(X3) )
| ( p2(X3)
& p3(X3) )
| ( ~ p3(X3)
& ~ p2(X3) )
| ( p3(X3)
& p4(X3) )
| ( ~ p4(X3)
& ~ p3(X3) )
| ( p4(X3)
& p5(X3) )
| ( ~ p5(X3)
& ~ p4(X3) )
| ( p5(X3)
& p6(X3) )
| ( ~ p6(X3)
& ~ p5(X3) )
| ( p6(X3)
& p7(X3) )
| ( ~ p7(X3)
& ~ p6(X3) )
| ( p7(X3)
& p8(X3) )
| ( ~ p8(X3)
& ~ p7(X3) )
| ( p8(X3)
& p9(X3) )
| ( ~ p9(X3)
& ~ p8(X3) )
| ( p9(X3)
& p10(X3) )
| ( ~ p10(X3)
& ~ p9(X3) )
| ( p10(X3)
& p11(X3) )
| ( ~ p11(X3)
& ~ p10(X3) )
| ( p11(X3)
& p12(X3) )
| ( ~ p12(X3)
& ~ p11(X3) )
| ( p12(X3)
& p13(X3) )
| ( ~ p13(X3)
& ~ p12(X3) )
| ( p13(X3)
& p14(X3) )
| ( ~ p14(X3)
& ~ p13(X3) )
| ~ r1(X2,X3) )
| ! [X4] :
( p15(X4)
| ~ r1(X2,X4) )
| ~ ! [X5] :
( ~ ( ( p1(X5)
& ~ p2(X5) )
| ( ~ p1(X5)
& p2(X5) ) )
| ~ r1(X2,X5) )
| ! [X6] :
( ~ ! [X7] :
( ~ ( ( p2(X7)
& ~ p3(X7) )
| ( ~ p2(X7)
& p3(X7) ) )
| ~ r1(X6,X7) )
| ! [X8] :
( ~ ! [X9] :
( ~ ( ( p3(X9)
& ~ p4(X9) )
| ( ~ p3(X9)
& p4(X9) ) )
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( ~ ( ( p4(X11)
& ~ p5(X11) )
| ( ~ p4(X11)
& p5(X11) ) )
| ~ r1(X10,X11) )
| ! [X12] :
( ~ ! [X13] :
( ~ ( ( p5(X13)
& ~ p6(X13) )
| ( ~ p5(X13)
& p6(X13) ) )
| ~ r1(X12,X13) )
| ! [X14] :
( ~ ! [X15] :
( ~ ( ( p6(X15)
& ~ p7(X15) )
| ( ~ p6(X15)
& p7(X15) ) )
| ~ r1(X14,X15) )
| ! [X16] :
( ~ ! [X17] :
( ~ ( ( p7(X17)
& ~ p8(X17) )
| ( ~ p7(X17)
& p8(X17) ) )
| ~ r1(X16,X17) )
| ! [X18] :
( ~ ! [X19] :
( ~ ( ( p8(X19)
& ~ p9(X19) )
| ( ~ p8(X19)
& p9(X19) ) )
| ~ r1(X18,X19) )
| ! [X20] :
( ~ ! [X21] :
( ~ ( ( p9(X21)
& ~ p10(X21) )
| ( ~ p9(X21)
& p10(X21) ) )
| ~ r1(X20,X21) )
| ! [X22] :
( ~ ! [X23] :
( ~ ( ( p10(X23)
& ~ p11(X23) )
| ( ~ p10(X23)
& p11(X23) ) )
| ~ r1(X22,X23) )
| ! [X24] :
( ~ ! [X25] :
( ~ ( ( p11(X25)
& ~ p12(X25) )
| ( ~ p11(X25)
& p12(X25) ) )
| ~ r1(X24,X25) )
| ! [X26] :
( ~ ! [X27] :
( ~ ( ( p12(X27)
& ~ p13(X27) )
| ( ~ p12(X27)
& p13(X27) ) )
| ~ r1(X26,X27) )
| ! [X28] :
( ~ ! [X29] :
( ~ ( ( p13(X29)
& ~ p14(X29) )
| ( ~ p13(X29)
& p14(X29) ) )
| ~ r1(X28,X29) )
| ! [X30] :
( $false
| ~ r1(X28,X30) )
| ~ r1(X26,X28) )
| ~ r1(X24,X26) )
| ~ r1(X22,X24) )
| ~ r1(X20,X22) )
| ~ r1(X18,X20) )
| ~ r1(X16,X18) )
| ~ r1(X14,X16) )
| ~ r1(X12,X14) )
| ~ r1(X10,X12) )
| ~ r1(X8,X10) )
| ~ r1(X6,X8) )
| ~ r1(X2,X6) ) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ! [X31] :
( ! [X32] :
( ~ p1(X32)
| ~ r1(X31,X32) )
| ~ p15(X31)
| ~ r1(X0,X31) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ( p1(X1)
& p2(X1) )
| ( ~ p2(X1)
& ~ p1(X1) )
| ( p2(X1)
& p3(X1) )
| ( ~ p3(X1)
& ~ p2(X1) )
| ( p3(X1)
& p4(X1) )
| ( ~ p4(X1)
& ~ p3(X1) )
| ( p4(X1)
& p5(X1) )
| ( ~ p5(X1)
& ~ p4(X1) )
| ( p5(X1)
& p6(X1) )
| ( ~ p6(X1)
& ~ p5(X1) )
| ( p6(X1)
& p7(X1) )
| ( ~ p7(X1)
& ~ p6(X1) )
| ( p7(X1)
& p8(X1) )
| ( ~ p8(X1)
& ~ p7(X1) )
| ( p8(X1)
& p9(X1) )
| ( ~ p9(X1)
& ~ p8(X1) )
| ( p9(X1)
& p10(X1) )
| ( ~ p10(X1)
& ~ p9(X1) )
| ( p10(X1)
& p11(X1) )
| ( ~ p11(X1)
& ~ p10(X1) )
| ( p11(X1)
& p12(X1) )
| ( ~ p12(X1)
& ~ p11(X1) )
| ( p12(X1)
& p13(X1) )
| ( ~ p13(X1)
& ~ p12(X1) )
| ( p13(X1)
& p14(X1) )
| ( ~ p14(X1)
& ~ p13(X1) )
| ~ r1(X0,X1) )
| ! [X1] :
( p15(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ( p1(X1)
& ~ p2(X1) )
| ( ~ p1(X1)
& p2(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p2(X0)
& ~ p3(X0) )
| ( ~ p2(X0)
& p3(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p3(X1)
& ~ p4(X1) )
| ( ~ p3(X1)
& p4(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p4(X0)
& ~ p5(X0) )
| ( ~ p4(X0)
& p5(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p5(X1)
& ~ p6(X1) )
| ( ~ p5(X1)
& p6(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p6(X0)
& ~ p7(X0) )
| ( ~ p6(X0)
& p7(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p7(X1)
& ~ p8(X1) )
| ( ~ p7(X1)
& p8(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p8(X0)
& ~ p9(X0) )
| ( ~ p8(X0)
& p9(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p9(X1)
& ~ p10(X1) )
| ( ~ p9(X1)
& p10(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p10(X0)
& ~ p11(X0) )
| ( ~ p10(X0)
& p11(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p11(X1)
& ~ p12(X1) )
| ( ~ p11(X1)
& p12(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p12(X0)
& ~ p13(X0) )
| ( ~ p12(X0)
& p13(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p13(X1)
& ~ p14(X1) )
| ( ~ p13(X1)
& p14(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ~ p15(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ( p1(X1)
& p2(X1) )
| ( ~ p2(X1)
& ~ p1(X1) )
| ( p2(X1)
& p3(X1) )
| ( ~ p3(X1)
& ~ p2(X1) )
| ( p3(X1)
& p4(X1) )
| ( ~ p4(X1)
& ~ p3(X1) )
| ( p4(X1)
& p5(X1) )
| ( ~ p5(X1)
& ~ p4(X1) )
| ( p5(X1)
& p6(X1) )
| ( ~ p6(X1)
& ~ p5(X1) )
| ( p6(X1)
& p7(X1) )
| ( ~ p7(X1)
& ~ p6(X1) )
| ( p7(X1)
& p8(X1) )
| ( ~ p8(X1)
& ~ p7(X1) )
| ( p8(X1)
& p9(X1) )
| ( ~ p9(X1)
& ~ p8(X1) )
| ( p9(X1)
& p10(X1) )
| ( ~ p10(X1)
& ~ p9(X1) )
| ( p10(X1)
& p11(X1) )
| ( ~ p11(X1)
& ~ p10(X1) )
| ( p11(X1)
& p12(X1) )
| ( ~ p12(X1)
& ~ p11(X1) )
| ( p12(X1)
& p13(X1) )
| ( ~ p13(X1)
& ~ p12(X1) )
| ( p13(X1)
& p14(X1) )
| ( ~ p14(X1)
& ~ p13(X1) )
| ~ r1(X0,X1) )
| ! [X1] :
( p15(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ( p1(X1)
& ~ p2(X1) )
| ( ~ p1(X1)
& p2(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p2(X0)
& ~ p3(X0) )
| ( ~ p2(X0)
& p3(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p3(X1)
& ~ p4(X1) )
| ( ~ p3(X1)
& p4(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p4(X0)
& ~ p5(X0) )
| ( ~ p4(X0)
& p5(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p5(X1)
& ~ p6(X1) )
| ( ~ p5(X1)
& p6(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p6(X0)
& ~ p7(X0) )
| ( ~ p6(X0)
& p7(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p7(X1)
& ~ p8(X1) )
| ( ~ p7(X1)
& p8(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p8(X0)
& ~ p9(X0) )
| ( ~ p8(X0)
& p9(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p9(X1)
& ~ p10(X1) )
| ( ~ p9(X1)
& p10(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p10(X0)
& ~ p11(X0) )
| ( ~ p10(X0)
& p11(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p11(X1)
& ~ p12(X1) )
| ( ~ p11(X1)
& p12(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( p12(X0)
& ~ p13(X0) )
| ( ~ p12(X0)
& p13(X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ ( ( p13(X1)
& ~ p14(X1) )
| ( ~ p13(X1)
& p14(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ~ p15(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.jziP8eVQz0/Vampire---4.8_14576',main) ).
fof(f232,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.jziP8eVQz0/Vampire---4.8_14576',reflexivity) ).
fof(f134,plain,
! [X0] :
( ~ sP27(X0)
| sP24(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ( sP24(X0)
& sP26(X0)
& sP25(X0)
& sP23(X0) )
| ~ sP27(X0) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X2] :
( ( sP24(X2)
& sP26(X2)
& sP25(X2)
& sP23(X2) )
| ~ sP27(X2) ),
inference(nnf_transformation,[],[f38]) ).
fof(f164,plain,
! [X0] :
( ~ sP24(X0)
| p1(sK29(X0))
| p2(sK29(X0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( ( ~ p1(sK29(X0))
| ~ p2(sK29(X0)) )
& ( p2(sK29(X0))
| p1(sK29(X0)) )
& ( ~ p2(sK29(X0))
| ~ p3(sK29(X0)) )
& ( p3(sK29(X0))
| p2(sK29(X0)) )
& ( ~ p3(sK29(X0))
| ~ p4(sK29(X0)) )
& ( p4(sK29(X0))
| p3(sK29(X0)) )
& ( ~ p4(sK29(X0))
| ~ p5(sK29(X0)) )
& ( p5(sK29(X0))
| p4(sK29(X0)) )
& ( ~ p5(sK29(X0))
| ~ p6(sK29(X0)) )
& ( p6(sK29(X0))
| p5(sK29(X0)) )
& ( ~ p6(sK29(X0))
| ~ p7(sK29(X0)) )
& ( p7(sK29(X0))
| p6(sK29(X0)) )
& ( ~ p7(sK29(X0))
| ~ p8(sK29(X0)) )
& ( p8(sK29(X0))
| p7(sK29(X0)) )
& ( ~ p8(sK29(X0))
| ~ p9(sK29(X0)) )
& ( p9(sK29(X0))
| p8(sK29(X0)) )
& ( ~ p9(sK29(X0))
| ~ p10(sK29(X0)) )
& ( p10(sK29(X0))
| p9(sK29(X0)) )
& ( ~ p10(sK29(X0))
| ~ p11(sK29(X0)) )
& ( p11(sK29(X0))
| p10(sK29(X0)) )
& ( ~ p11(sK29(X0))
| ~ p12(sK29(X0)) )
& ( p12(sK29(X0))
| p11(sK29(X0)) )
& ( ~ p12(sK29(X0))
| ~ p13(sK29(X0)) )
& ( p13(sK29(X0))
| p12(sK29(X0)) )
& ( ~ p13(sK29(X0))
| ~ p14(sK29(X0)) )
& ( p14(sK29(X0))
| p13(sK29(X0)) )
& r1(X0,sK29(X0)) )
| ~ sP24(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f49,f50]) ).
fof(f50,plain,
! [X0] :
( ? [X1] :
( ( ~ p1(X1)
| ~ p2(X1) )
& ( p2(X1)
| p1(X1) )
& ( ~ p2(X1)
| ~ p3(X1) )
& ( p3(X1)
| p2(X1) )
& ( ~ p3(X1)
| ~ p4(X1) )
& ( p4(X1)
| p3(X1) )
& ( ~ p4(X1)
| ~ p5(X1) )
& ( p5(X1)
| p4(X1) )
& ( ~ p5(X1)
| ~ p6(X1) )
& ( p6(X1)
| p5(X1) )
& ( ~ p6(X1)
| ~ p7(X1) )
& ( p7(X1)
| p6(X1) )
& ( ~ p7(X1)
| ~ p8(X1) )
& ( p8(X1)
| p7(X1) )
& ( ~ p8(X1)
| ~ p9(X1) )
& ( p9(X1)
| p8(X1) )
& ( ~ p9(X1)
| ~ p10(X1) )
& ( p10(X1)
| p9(X1) )
& ( ~ p10(X1)
| ~ p11(X1) )
& ( p11(X1)
| p10(X1) )
& ( ~ p11(X1)
| ~ p12(X1) )
& ( p12(X1)
| p11(X1) )
& ( ~ p12(X1)
| ~ p13(X1) )
& ( p13(X1)
| p12(X1) )
& ( ~ p13(X1)
| ~ p14(X1) )
& ( p14(X1)
| p13(X1) )
& r1(X0,X1) )
=> ( ( ~ p1(sK29(X0))
| ~ p2(sK29(X0)) )
& ( p2(sK29(X0))
| p1(sK29(X0)) )
& ( ~ p2(sK29(X0))
| ~ p3(sK29(X0)) )
& ( p3(sK29(X0))
| p2(sK29(X0)) )
& ( ~ p3(sK29(X0))
| ~ p4(sK29(X0)) )
& ( p4(sK29(X0))
| p3(sK29(X0)) )
& ( ~ p4(sK29(X0))
| ~ p5(sK29(X0)) )
& ( p5(sK29(X0))
| p4(sK29(X0)) )
& ( ~ p5(sK29(X0))
| ~ p6(sK29(X0)) )
& ( p6(sK29(X0))
| p5(sK29(X0)) )
& ( ~ p6(sK29(X0))
| ~ p7(sK29(X0)) )
& ( p7(sK29(X0))
| p6(sK29(X0)) )
& ( ~ p7(sK29(X0))
| ~ p8(sK29(X0)) )
& ( p8(sK29(X0))
| p7(sK29(X0)) )
& ( ~ p8(sK29(X0))
| ~ p9(sK29(X0)) )
& ( p9(sK29(X0))
| p8(sK29(X0)) )
& ( ~ p9(sK29(X0))
| ~ p10(sK29(X0)) )
& ( p10(sK29(X0))
| p9(sK29(X0)) )
& ( ~ p10(sK29(X0))
| ~ p11(sK29(X0)) )
& ( p11(sK29(X0))
| p10(sK29(X0)) )
& ( ~ p11(sK29(X0))
| ~ p12(sK29(X0)) )
& ( p12(sK29(X0))
| p11(sK29(X0)) )
& ( ~ p12(sK29(X0))
| ~ p13(sK29(X0)) )
& ( p13(sK29(X0))
| p12(sK29(X0)) )
& ( ~ p13(sK29(X0))
| ~ p14(sK29(X0)) )
& ( p14(sK29(X0))
| p13(sK29(X0)) )
& r1(X0,sK29(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0] :
( ? [X1] :
( ( ~ p1(X1)
| ~ p2(X1) )
& ( p2(X1)
| p1(X1) )
& ( ~ p2(X1)
| ~ p3(X1) )
& ( p3(X1)
| p2(X1) )
& ( ~ p3(X1)
| ~ p4(X1) )
& ( p4(X1)
| p3(X1) )
& ( ~ p4(X1)
| ~ p5(X1) )
& ( p5(X1)
| p4(X1) )
& ( ~ p5(X1)
| ~ p6(X1) )
& ( p6(X1)
| p5(X1) )
& ( ~ p6(X1)
| ~ p7(X1) )
& ( p7(X1)
| p6(X1) )
& ( ~ p7(X1)
| ~ p8(X1) )
& ( p8(X1)
| p7(X1) )
& ( ~ p8(X1)
| ~ p9(X1) )
& ( p9(X1)
| p8(X1) )
& ( ~ p9(X1)
| ~ p10(X1) )
& ( p10(X1)
| p9(X1) )
& ( ~ p10(X1)
| ~ p11(X1) )
& ( p11(X1)
| p10(X1) )
& ( ~ p11(X1)
| ~ p12(X1) )
& ( p12(X1)
| p11(X1) )
& ( ~ p12(X1)
| ~ p13(X1) )
& ( p13(X1)
| p12(X1) )
& ( ~ p13(X1)
| ~ p14(X1) )
& ( p14(X1)
| p13(X1) )
& r1(X0,X1) )
| ~ sP24(X0) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X2] :
( ? [X3] :
( ( ~ p1(X3)
| ~ p2(X3) )
& ( p2(X3)
| p1(X3) )
& ( ~ p2(X3)
| ~ p3(X3) )
& ( p3(X3)
| p2(X3) )
& ( ~ p3(X3)
| ~ p4(X3) )
& ( p4(X3)
| p3(X3) )
& ( ~ p4(X3)
| ~ p5(X3) )
& ( p5(X3)
| p4(X3) )
& ( ~ p5(X3)
| ~ p6(X3) )
& ( p6(X3)
| p5(X3) )
& ( ~ p6(X3)
| ~ p7(X3) )
& ( p7(X3)
| p6(X3) )
& ( ~ p7(X3)
| ~ p8(X3) )
& ( p8(X3)
| p7(X3) )
& ( ~ p8(X3)
| ~ p9(X3) )
& ( p9(X3)
| p8(X3) )
& ( ~ p9(X3)
| ~ p10(X3) )
& ( p10(X3)
| p9(X3) )
& ( ~ p10(X3)
| ~ p11(X3) )
& ( p11(X3)
| p10(X3) )
& ( ~ p11(X3)
| ~ p12(X3) )
& ( p12(X3)
| p11(X3) )
& ( ~ p12(X3)
| ~ p13(X3) )
& ( p13(X3)
| p12(X3) )
& ( ~ p13(X3)
| ~ p14(X3) )
& ( p14(X3)
| p13(X3) )
& r1(X2,X3) )
| ~ sP24(X2) ),
inference(nnf_transformation,[],[f35]) ).
fof(f630,plain,
( ~ p2(sK29(sK44))
| p1(sK29(sK44)) ),
inference(subsumption_resolution,[],[f613,f236]) ).
fof(f236,plain,
sP25(sK44),
inference(resolution,[],[f132,f234]) ).
fof(f132,plain,
! [X0] :
( ~ sP27(X0)
| sP25(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f613,plain,
( ~ p2(sK29(sK44))
| p1(sK29(sK44))
| ~ sP25(sK44) ),
inference(resolution,[],[f137,f268]) ).
fof(f268,plain,
r1(sK44,sK29(sK44)),
inference(resolution,[],[f139,f238]) ).
fof(f139,plain,
! [X0] :
( ~ sP24(X0)
| r1(X0,sK29(X0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f137,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| p1(X1)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( ( ( ~ p1(X1)
| p2(X1) )
& ( p1(X1)
| ~ p2(X1) ) )
| ~ r1(X0,X1) )
| ~ sP25(X0) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X2] :
( ! [X5] :
( ( ( ~ p1(X5)
| p2(X5) )
& ( p1(X5)
| ~ p2(X5) ) )
| ~ r1(X2,X5) )
| ~ sP25(X2) ),
inference(nnf_transformation,[],[f36]) ).
fof(f708,plain,
~ p1(sK29(sK44)),
inference(resolution,[],[f705,f561]) ).
fof(f561,plain,
( ~ p2(sK29(sK44))
| ~ p1(sK29(sK44)) ),
inference(resolution,[],[f165,f238]) ).
fof(f165,plain,
! [X0] :
( ~ sP24(X0)
| ~ p2(sK29(X0))
| ~ p1(sK29(X0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f705,plain,
p2(sK29(sK44)),
inference(subsumption_resolution,[],[f704,f236]) ).
fof(f704,plain,
( p2(sK29(sK44))
| ~ sP25(sK44) ),
inference(subsumption_resolution,[],[f687,f631]) ).
fof(f687,plain,
( p2(sK29(sK44))
| ~ p1(sK29(sK44))
| ~ sP25(sK44) ),
inference(resolution,[],[f138,f268]) ).
fof(f138,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ p1(X1)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LCL686+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Aug 30 14:22:59 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.39 % (14683)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (14689)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.17/0.39 % (14685)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.17/0.39 % (14688)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.17/0.39 % (14687)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.17/0.39 % (14686)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.17/0.39 % (14690)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.17/0.39 % (14684)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.17/0.39 TRYING [1]
% 0.17/0.39 TRYING [2]
% 0.17/0.39 TRYING [1]
% 0.17/0.39 TRYING [1]
% 0.17/0.39 TRYING [1]
% 0.17/0.40 TRYING [2]
% 0.17/0.40 TRYING [2]
% 0.17/0.40 TRYING [2]
% 0.17/0.40 TRYING [3]
% 0.17/0.40 TRYING [3]
% 0.17/0.40 TRYING [3]
% 0.17/0.40 TRYING [3]
% 0.17/0.40 TRYING [4]
% 0.17/0.40 % (14688)First to succeed.
% 0.17/0.40 % (14686)Also succeeded, but the first one will report.
% 0.17/0.40 TRYING [4]
% 0.17/0.40 TRYING [4]
% 0.17/0.40 TRYING [5]
% 0.17/0.40 TRYING [4]
% 0.17/0.40 % (14689)Also succeeded, but the first one will report.
% 0.17/0.40 % (14688)Refutation found. Thanks to Tanya!
% 0.17/0.40 % SZS status Theorem for Vampire---4
% 0.17/0.40 % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.40 % (14688)------------------------------
% 0.17/0.40 % (14688)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.40 % (14688)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.40 % (14688)Termination reason: Refutation
% 0.17/0.40
% 0.17/0.40 % (14688)Memory used [KB]: 1407
% 0.17/0.40 % (14688)Time elapsed: 0.012 s
% 0.17/0.40 % (14688)------------------------------
% 0.17/0.40 % (14688)------------------------------
% 0.17/0.40 % (14683)Success in time 0.074 s
% 0.17/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------