TSTP Solution File: LCL658+1.001 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL658+1.001 : 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 : n015.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 : Thu Aug 31 08:28:30 EDT 2023
% Result : Theorem 0.22s 0.49s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 44
% Syntax : Number of formulae : 218 ( 8 unt; 0 def)
% Number of atoms : 1174 ( 0 equ)
% Maximal formula atoms : 62 ( 5 avg)
% Number of connectives : 1704 ( 748 ~; 715 |; 213 &)
% ( 12 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 13 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-1 aty)
% Number of variables : 512 (; 420 !; 92 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3209,plain,
$false,
inference(avatar_sat_refutation,[],[f306,f326,f428,f559,f586,f606,f653,f889,f2954,f2973,f2996,f3029,f3208]) ).
fof(f3208,plain,
( ~ spl32_47
| ~ spl32_66 ),
inference(avatar_contradiction_clause,[],[f3207]) ).
fof(f3207,plain,
( $false
| ~ spl32_47
| ~ spl32_66 ),
inference(subsumption_resolution,[],[f3206,f3013]) ).
fof(f3013,plain,
( sP1(sK30)
| ~ spl32_47 ),
inference(resolution,[],[f525,f128]) ).
fof(f128,plain,
r1(sK29,sK30),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ! [X2] :
( sP14(X2)
| p1(X2)
| ~ r1(sK29,X2) )
& ! [X4] :
( p1(X4)
| ~ r1(sK30,X4) )
& r1(sK29,sK30)
& ~ p1(sK31)
& r1(sK29,sK31)
& r1(sK28,sK29)
& ! [X6] :
( sP12(X6)
| ~ r1(sK28,X6) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29,sK30,sK31])],[f79,f83,f82,f81,f80]) ).
fof(f80,plain,
( ? [X0] :
( ? [X1] :
( ! [X2] :
( sP14(X2)
| p1(X2)
| ~ r1(X1,X2) )
& ? [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
& r1(X1,X3) )
& ? [X5] :
( ~ p1(X5)
& r1(X1,X5) )
& r1(X0,X1) )
& ! [X6] :
( sP12(X6)
| ~ r1(X0,X6) ) )
=> ( ? [X1] :
( ! [X2] :
( sP14(X2)
| p1(X2)
| ~ r1(X1,X2) )
& ? [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
& r1(X1,X3) )
& ? [X5] :
( ~ p1(X5)
& r1(X1,X5) )
& r1(sK28,X1) )
& ! [X6] :
( sP12(X6)
| ~ r1(sK28,X6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
( ? [X1] :
( ! [X2] :
( sP14(X2)
| p1(X2)
| ~ r1(X1,X2) )
& ? [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
& r1(X1,X3) )
& ? [X5] :
( ~ p1(X5)
& r1(X1,X5) )
& r1(sK28,X1) )
=> ( ! [X2] :
( sP14(X2)
| p1(X2)
| ~ r1(sK29,X2) )
& ? [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
& r1(sK29,X3) )
& ? [X5] :
( ~ p1(X5)
& r1(sK29,X5) )
& r1(sK28,sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
( ? [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
& r1(sK29,X3) )
=> ( ! [X4] :
( p1(X4)
| ~ r1(sK30,X4) )
& r1(sK29,sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( ? [X5] :
( ~ p1(X5)
& r1(sK29,X5) )
=> ( ~ p1(sK31)
& r1(sK29,sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( sP14(X2)
| p1(X2)
| ~ r1(X1,X2) )
& ? [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
& r1(X1,X3) )
& ? [X5] :
( ~ p1(X5)
& r1(X1,X5) )
& r1(X0,X1) )
& ! [X6] :
( sP12(X6)
| ~ r1(X0,X6) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( sP14(X2)
| p1(X2)
| ~ r1(X1,X2) )
& ? [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& r1(X1,X5) )
& ? [X7] :
( ~ p1(X7)
& r1(X1,X7) )
& r1(X0,X1) )
& ! [X8] :
( sP12(X8)
| ~ r1(X0,X8) ) ),
inference(definition_folding,[],[f6,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7]) ).
fof(f7,plain,
! [X32] :
( ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
| ~ sP0(X32) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,plain,
! [X31] :
( ? [X32] :
( p1(X32)
& sP0(X32)
& r1(X31,X32) )
| ~ sP1(X31) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f9,plain,
! [X26] :
( ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
| ~ sP2(X26) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f10,plain,
! [X25] :
( ? [X30] :
( ~ p1(X30)
& r1(X25,X30) )
| ~ sP3(X25) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f11,plain,
! [X25] :
( ! [X26] :
( ( p1(X26)
& sP2(X26) )
| ! [X28] :
( ~ p1(X28)
| ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X26,X28) )
| ~ r1(X25,X26) )
| ~ sP4(X25) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f12,plain,
! [X8] :
( ? [X25] :
( sP4(X25)
& p1(X25)
& sP3(X25)
& r1(X8,X25) )
| ~ sP5(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f13,plain,
! [X8] :
( ? [X20] :
( ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& ~ p1(X20)
& r1(X8,X20) )
| ~ sP6(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f14,plain,
! [X14] :
( ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
| ~ sP7(X14) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f15,plain,
! [X13] :
( ? [X14] :
( p1(X14)
& sP7(X14)
& r1(X13,X14) )
| ~ sP8(X13) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f16,plain,
! [X8] :
( ? [X9] :
( ! [X10] :
( ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
& ~ p1(X9)
& r1(X8,X9) )
| ~ sP9(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f17,plain,
! [X8] :
( sP6(X8)
| ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ~ r1(X8,X23) )
| p1(X8)
| ~ sP10(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f18,plain,
! [X8] :
( ! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X16,X18) )
| ~ r1(X8,X16) )
| ~ sP11(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f19,plain,
! [X8] :
( ( ( sP9(X8)
| ! [X12] :
( ! [X13] :
( sP8(X13)
| p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X8,X12) ) )
& sP11(X8)
& sP10(X8)
& ( sP5(X8)
| ! [X31] :
( sP1(X31)
| ~ r1(X8,X31) )
| ~ p1(X8)
| ! [X34] :
( p1(X34)
| ~ r1(X8,X34) ) ) )
| ~ sP12(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f20,plain,
! [X3] :
( ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
| ~ sP13(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f21,plain,
! [X2] :
( ? [X3] :
( p1(X3)
& sP13(X3)
& r1(X2,X3) )
| ~ sP14(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f6,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
& ? [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& r1(X1,X5) )
& ? [X7] :
( ~ p1(X7)
& r1(X1,X7) )
& r1(X0,X1) )
& ! [X8] :
( ( ( ? [X9] :
( ! [X10] :
( ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
& ~ p1(X9)
& r1(X8,X9) )
| ! [X12] :
( ! [X13] :
( ? [X14] :
( p1(X14)
& ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
& r1(X13,X14) )
| p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X8,X12) ) )
& ! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X16,X18) )
| ~ r1(X8,X16) )
& ( ? [X20] :
( ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& ~ p1(X20)
& r1(X8,X20) )
| ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ~ r1(X8,X23) )
| p1(X8) )
& ( ? [X25] :
( ! [X26] :
( ( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) ) )
| ! [X28] :
( ~ p1(X28)
| ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X26,X28) )
| ~ r1(X25,X26) )
& p1(X25)
& ? [X30] :
( ~ p1(X30)
& r1(X25,X30) )
& r1(X8,X25) )
| ! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| ~ r1(X8,X31) )
| ~ p1(X8)
| ! [X34] :
( p1(X34)
| ~ r1(X8,X34) ) ) )
| ~ r1(X0,X8) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p1(X3)
| ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
| ! [X5] :
( ~ ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X1,X5) )
| ! [X7] :
( p1(X7)
| ~ r1(X1,X7) )
| ~ r1(X0,X1) )
| ~ ! [X8] :
( ( ( ~ ! [X9] :
( ~ ! [X10] :
( ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| p1(X9)
| ~ r1(X8,X9) )
| ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p1(X14)
| ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X8,X12) ) )
& ! [X16] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X16,X18) )
| ~ r1(X8,X16) )
& ( ~ ! [X20] :
( ~ ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| p1(X20)
| ~ r1(X8,X20) )
| ! [X23] :
( ~ ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X8,X23) )
| p1(X8) )
& ( ~ ! [X25] :
( ~ ! [X26] :
( ~ ( ~ p1(X26)
| ! [X27] :
( p1(X27)
| ~ r1(X26,X27) ) )
| ! [X28] :
( ~ p1(X28)
| ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X26,X28) )
| ~ r1(X25,X26) )
| ~ p1(X25)
| ! [X30] :
( p1(X30)
| ~ r1(X25,X30) )
| ~ r1(X8,X25) )
| ! [X31] :
( ~ ! [X32] :
( ~ p1(X32)
| ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X8,X31) )
| ~ p1(X8)
| ! [X34] :
( p1(X34)
| ~ r1(X8,X34) ) ) )
| ~ r1(X0,X8) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ~ ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p1(X3)
| ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
| ! [X5] :
( ~ ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X1,X5) )
| ! [X7] :
( p1(X7)
| ~ r1(X1,X7) )
| ~ r1(X0,X1) )
| ~ ! [X8] :
( ( ( ~ ! [X9] :
( ~ ! [X10] :
( ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| p1(X9)
| ~ r1(X8,X9) )
| ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p1(X14)
| ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X8,X12) ) )
& ! [X16] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X16,X18) )
| ~ r1(X8,X16) )
& ( ~ ! [X20] :
( ~ ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| p1(X20)
| ~ r1(X8,X20) )
| ! [X23] :
( ~ ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X8,X23) )
| p1(X8) )
& ( ~ ! [X25] :
( ~ ! [X26] :
( ~ ( ~ p1(X26)
| ! [X27] :
( p1(X27)
| ~ r1(X26,X27) ) )
| ! [X28] :
( ~ p1(X28)
| ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X26,X28) )
| ~ r1(X25,X26) )
| ~ p1(X25)
| ! [X30] :
( p1(X30)
| ~ r1(X25,X30) )
| ~ r1(X8,X25) )
| ! [X31] :
( ~ ! [X32] :
( ~ p1(X32)
| ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X8,X31) )
| ~ p1(X8)
| ! [X34] :
( p1(X34)
| ~ r1(X8,X34) ) ) )
| ~ r1(X0,X8) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [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) )
| ~ ! [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) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [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) )
| ~ ! [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) ) ),
file('/export/starexec/sandbox/tmp/tmp.mb4PcVtJa8/Vampire---4.8_14326',main) ).
fof(f525,plain,
( ! [X1] :
( ~ r1(sK29,X1)
| sP1(X1) )
| ~ spl32_47 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f524,plain,
( spl32_47
<=> ! [X1] :
( sP1(X1)
| ~ r1(sK29,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_47])]) ).
fof(f3206,plain,
( ~ sP1(sK30)
| ~ spl32_66 ),
inference(resolution,[],[f3106,f120]) ).
fof(f120,plain,
! [X0] :
( sP0(sK26(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( p1(sK26(X0))
& sP0(sK26(X0))
& r1(X0,sK26(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f72,f73]) ).
fof(f73,plain,
! [X0] :
( ? [X1] :
( p1(X1)
& sP0(X1)
& r1(X0,X1) )
=> ( p1(sK26(X0))
& sP0(sK26(X0))
& r1(X0,sK26(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ? [X1] :
( p1(X1)
& sP0(X1)
& r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X31] :
( ? [X32] :
( p1(X32)
& sP0(X32)
& r1(X31,X32) )
| ~ sP1(X31) ),
inference(nnf_transformation,[],[f8]) ).
fof(f3106,plain,
( ~ sP0(sK26(sK30))
| ~ spl32_66 ),
inference(subsumption_resolution,[],[f3090,f123]) ).
fof(f123,plain,
! [X0] :
( ~ p1(sK27(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ( ~ p1(sK27(X0))
& r1(X0,sK27(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f76,f77]) ).
fof(f77,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
=> ( ~ p1(sK27(X0))
& r1(X0,sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X32] :
( ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
| ~ sP0(X32) ),
inference(nnf_transformation,[],[f7]) ).
fof(f3090,plain,
( p1(sK27(sK26(sK30)))
| ~ sP0(sK26(sK30))
| ~ spl32_66 ),
inference(resolution,[],[f652,f122]) ).
fof(f122,plain,
! [X0] :
( r1(X0,sK27(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f652,plain,
( ! [X16] :
( ~ r1(sK26(sK30),X16)
| p1(X16) )
| ~ spl32_66 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f651,plain,
( spl32_66
<=> ! [X16] :
( p1(X16)
| ~ r1(sK26(sK30),X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_66])]) ).
fof(f3029,plain,
( ~ spl32_47
| spl32_65 ),
inference(avatar_contradiction_clause,[],[f3028]) ).
fof(f3028,plain,
( $false
| ~ spl32_47
| spl32_65 ),
inference(subsumption_resolution,[],[f3013,f649]) ).
fof(f649,plain,
( ~ sP1(sK30)
| spl32_65 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f647,plain,
( spl32_65
<=> sP1(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_65])]) ).
fof(f2996,plain,
( ~ spl32_27
| ~ spl32_28 ),
inference(avatar_contradiction_clause,[],[f2995]) ).
fof(f2995,plain,
( $false
| ~ spl32_27
| ~ spl32_28 ),
inference(subsumption_resolution,[],[f2994,f300]) ).
fof(f300,plain,
( sP9(sK29)
| ~ spl32_27 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f299,plain,
( spl32_27
<=> sP9(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_27])]) ).
fof(f2994,plain,
( ~ sP9(sK29)
| ~ spl32_28 ),
inference(resolution,[],[f305,f801]) ).
fof(f801,plain,
! [X2] :
( ~ sP14(sK19(X2))
| ~ sP9(X2) ),
inference(subsumption_resolution,[],[f800,f86]) ).
fof(f86,plain,
! [X0] :
( sP13(sK15(X0))
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ( p1(sK15(X0))
& sP13(sK15(X0))
& r1(X0,sK15(X0)) )
| ~ sP14(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f24,f25]) ).
fof(f25,plain,
! [X0] :
( ? [X1] :
( p1(X1)
& sP13(X1)
& r1(X0,X1) )
=> ( p1(sK15(X0))
& sP13(sK15(X0))
& r1(X0,sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
( ? [X1] :
( p1(X1)
& sP13(X1)
& r1(X0,X1) )
| ~ sP14(X0) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X2] :
( ? [X3] :
( p1(X3)
& sP13(X3)
& r1(X2,X3) )
| ~ sP14(X2) ),
inference(nnf_transformation,[],[f21]) ).
fof(f800,plain,
! [X2] :
( ~ sP9(X2)
| ~ sP14(sK19(X2))
| ~ sP13(sK15(sK19(X2))) ),
inference(subsumption_resolution,[],[f788,f89]) ).
fof(f89,plain,
! [X0] :
( ~ p1(sK16(X0))
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ( ~ p1(sK16(X0))
& r1(X0,sK16(X0)) )
| ~ sP13(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f28,f29]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
=> ( ~ p1(sK16(X0))
& r1(X0,sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
| ~ sP13(X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X3] :
( ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
| ~ sP13(X3) ),
inference(nnf_transformation,[],[f20]) ).
fof(f788,plain,
! [X2] :
( p1(sK16(sK15(sK19(X2))))
| ~ sP9(X2)
| ~ sP14(sK19(X2))
| ~ sP13(sK15(sK19(X2))) ),
inference(resolution,[],[f392,f88]) ).
fof(f88,plain,
! [X0] :
( r1(X0,sK16(X0))
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f392,plain,
! [X2,X3] :
( ~ r1(sK15(sK19(X3)),X2)
| p1(X2)
| ~ sP9(X3)
| ~ sP14(sK19(X3)) ),
inference(subsumption_resolution,[],[f379,f87]) ).
fof(f87,plain,
! [X0] :
( p1(sK15(X0))
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f379,plain,
! [X2,X3] :
( p1(X2)
| ~ r1(sK15(sK19(X3)),X2)
| ~ p1(sK15(sK19(X3)))
| ~ sP9(X3)
| ~ sP14(sK19(X3)) ),
inference(resolution,[],[f100,f85]) ).
fof(f85,plain,
! [X0] :
( r1(X0,sK15(X0))
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f100,plain,
! [X2,X3,X0] :
( ~ r1(sK19(X0),X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ p1(X2)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,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])],[f42,f43]) ).
fof(f43,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(f42,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
| ~ sP9(X0) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X8] :
( ? [X9] :
( ! [X10] :
( ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
& ~ p1(X9)
& r1(X8,X9) )
| ~ sP9(X8) ),
inference(nnf_transformation,[],[f16]) ).
fof(f305,plain,
( sP14(sK19(sK29))
| ~ spl32_28 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f303,plain,
( spl32_28
<=> sP14(sK19(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_28])]) ).
fof(f2973,plain,
( spl32_46
| spl32_47
| ~ spl32_24 ),
inference(avatar_split_clause,[],[f518,f283,f524,f520]) ).
fof(f520,plain,
( spl32_46
<=> sP5(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_46])]) ).
fof(f283,plain,
( spl32_24
<=> p1(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_24])]) ).
fof(f518,plain,
( ! [X1] :
( sP1(X1)
| ~ r1(sK29,X1)
| sP5(sK29) )
| ~ spl32_24 ),
inference(subsumption_resolution,[],[f517,f132]) ).
fof(f132,plain,
sP12(sK29),
inference(resolution,[],[f124,f125]) ).
fof(f125,plain,
r1(sK28,sK29),
inference(cnf_transformation,[],[f84]) ).
fof(f124,plain,
! [X6] :
( ~ r1(sK28,X6)
| sP12(X6) ),
inference(cnf_transformation,[],[f84]) ).
fof(f517,plain,
( ! [X1] :
( sP1(X1)
| ~ r1(sK29,X1)
| sP5(sK29)
| ~ sP12(sK29) )
| ~ spl32_24 ),
inference(subsumption_resolution,[],[f516,f127]) ).
fof(f127,plain,
~ p1(sK31),
inference(cnf_transformation,[],[f84]) ).
fof(f516,plain,
( ! [X1] :
( sP1(X1)
| ~ r1(sK29,X1)
| p1(sK31)
| sP5(sK29)
| ~ sP12(sK29) )
| ~ spl32_24 ),
inference(subsumption_resolution,[],[f500,f285]) ).
fof(f285,plain,
( p1(sK29)
| ~ spl32_24 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f500,plain,
! [X1] :
( sP1(X1)
| ~ r1(sK29,X1)
| ~ p1(sK29)
| p1(sK31)
| sP5(sK29)
| ~ sP12(sK29) ),
inference(resolution,[],[f90,f126]) ).
fof(f126,plain,
r1(sK29,sK31),
inference(cnf_transformation,[],[f84]) ).
fof(f90,plain,
! [X3,X0,X4] :
( ~ r1(X0,X4)
| sP1(X3)
| ~ r1(X0,X3)
| ~ p1(X0)
| p1(X4)
| sP5(X0)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,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,[],[f31]) ).
fof(f31,plain,
! [X8] :
( ( ( sP9(X8)
| ! [X12] :
( ! [X13] :
( sP8(X13)
| p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X8,X12) ) )
& sP11(X8)
& sP10(X8)
& ( sP5(X8)
| ! [X31] :
( sP1(X31)
| ~ r1(X8,X31) )
| ~ p1(X8)
| ! [X34] :
( p1(X34)
| ~ r1(X8,X34) ) ) )
| ~ sP12(X8) ),
inference(nnf_transformation,[],[f19]) ).
fof(f2954,plain,
( spl32_27
| ~ spl32_46 ),
inference(avatar_contradiction_clause,[],[f2953]) ).
fof(f2953,plain,
( $false
| spl32_27
| ~ spl32_46 ),
inference(subsumption_resolution,[],[f2952,f522]) ).
fof(f522,plain,
( sP5(sK29)
| ~ spl32_46 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f2952,plain,
( ~ sP5(sK29)
| spl32_27 ),
inference(subsumption_resolution,[],[f2949,f132]) ).
fof(f2949,plain,
( ~ sP12(sK29)
| ~ sP5(sK29)
| spl32_27 ),
inference(resolution,[],[f2911,f301]) ).
fof(f301,plain,
( ~ sP9(sK29)
| spl32_27 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f2911,plain,
! [X13] :
( sP9(X13)
| ~ sP12(X13)
| ~ sP5(X13) ),
inference(subsumption_resolution,[],[f2910,f110]) ).
fof(f110,plain,
! [X0] :
( sP3(sK23(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,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])],[f58,f59]) ).
fof(f59,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(f58,plain,
! [X0] :
( ? [X1] :
( sP4(X1)
& p1(X1)
& sP3(X1)
& r1(X0,X1) )
| ~ sP5(X0) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X8] :
( ? [X25] :
( sP4(X25)
& p1(X25)
& sP3(X25)
& r1(X8,X25) )
| ~ sP5(X8) ),
inference(nnf_transformation,[],[f12]) ).
fof(f2910,plain,
! [X13] :
( sP9(X13)
| ~ sP3(sK23(X13))
| ~ sP12(X13)
| ~ sP5(X13) ),
inference(subsumption_resolution,[],[f2905,f112]) ).
fof(f112,plain,
! [X0] :
( sP4(sK23(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f2905,plain,
! [X13] :
( ~ sP4(sK23(X13))
| sP9(X13)
| ~ sP3(sK23(X13))
| ~ sP12(X13)
| ~ sP5(X13) ),
inference(resolution,[],[f2698,f109]) ).
fof(f109,plain,
! [X0] :
( r1(X0,sK23(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f2698,plain,
! [X0,X1] :
( ~ r1(X1,X0)
| ~ sP4(X0)
| sP9(X1)
| ~ sP3(X0)
| ~ sP12(X1) ),
inference(duplicate_literal_removal,[],[f2695]) ).
fof(f2695,plain,
! [X0,X1] :
( ~ sP3(X0)
| ~ sP4(X0)
| sP9(X1)
| ~ r1(X1,X0)
| ~ sP12(X1)
| ~ sP3(X0) ),
inference(resolution,[],[f2674,f460]) ).
fof(f460,plain,
! [X22,X23] :
( sP8(sK24(X22))
| sP9(X23)
| ~ r1(X23,X22)
| ~ sP12(X23)
| ~ sP3(X22) ),
inference(subsumption_resolution,[],[f441,f116]) ).
fof(f116,plain,
! [X0] :
( ~ p1(sK24(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( ~ p1(sK24(X0))
& r1(X0,sK24(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f64,f65]) ).
fof(f65,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
=> ( ~ p1(sK24(X0))
& r1(X0,sK24(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X25] :
( ? [X30] :
( ~ p1(X30)
& r1(X25,X30) )
| ~ sP3(X25) ),
inference(nnf_transformation,[],[f10]) ).
fof(f441,plain,
! [X22,X23] :
( sP8(sK24(X22))
| p1(sK24(X22))
| sP9(X23)
| ~ r1(X23,X22)
| ~ sP12(X23)
| ~ sP3(X22) ),
inference(resolution,[],[f93,f115]) ).
fof(f115,plain,
! [X0] :
( r1(X0,sK24(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| sP8(X2)
| p1(X2)
| sP9(X0)
| ~ r1(X0,X1)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f2674,plain,
! [X10] :
( ~ sP8(sK24(X10))
| ~ sP3(X10)
| ~ sP4(X10) ),
inference(subsumption_resolution,[],[f2673,f102]) ).
fof(f102,plain,
! [X0] :
( sP7(sK20(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ( p1(sK20(X0))
& sP7(sK20(X0))
& r1(X0,sK20(X0)) )
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f46,f47]) ).
fof(f47,plain,
! [X0] :
( ? [X1] :
( p1(X1)
& sP7(X1)
& r1(X0,X1) )
=> ( p1(sK20(X0))
& sP7(sK20(X0))
& r1(X0,sK20(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0] :
( ? [X1] :
( p1(X1)
& sP7(X1)
& r1(X0,X1) )
| ~ sP8(X0) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X13] :
( ? [X14] :
( p1(X14)
& sP7(X14)
& r1(X13,X14) )
| ~ sP8(X13) ),
inference(nnf_transformation,[],[f15]) ).
fof(f2673,plain,
! [X10] :
( ~ sP4(X10)
| ~ sP7(sK20(sK24(X10)))
| ~ sP3(X10)
| ~ sP8(sK24(X10)) ),
inference(subsumption_resolution,[],[f2665,f103]) ).
fof(f103,plain,
! [X0] :
( p1(sK20(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f2665,plain,
! [X10] :
( ~ p1(sK20(sK24(X10)))
| ~ sP4(X10)
| ~ sP7(sK20(sK24(X10)))
| ~ sP3(X10)
| ~ sP8(sK24(X10)) ),
inference(resolution,[],[f1719,f101]) ).
fof(f101,plain,
! [X0] :
( r1(X0,sK20(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f1719,plain,
! [X28,X27] :
( ~ r1(sK24(X27),X28)
| ~ p1(X28)
| ~ sP4(X27)
| ~ sP7(X28)
| ~ sP3(X27) ),
inference(subsumption_resolution,[],[f1708,f116]) ).
fof(f1708,plain,
! [X28,X27] :
( p1(sK24(X27))
| ~ r1(sK24(X27),X28)
| ~ p1(X28)
| ~ sP4(X27)
| ~ sP7(X28)
| ~ sP3(X27) ),
inference(resolution,[],[f711,f115]) ).
fof(f711,plain,
! [X31,X32,X33] :
( ~ r1(X33,X32)
| p1(X32)
| ~ r1(X32,X31)
| ~ p1(X31)
| ~ sP4(X33)
| ~ sP7(X31) ),
inference(subsumption_resolution,[],[f694,f105]) ).
fof(f105,plain,
! [X0] :
( ~ p1(sK21(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( ~ p1(sK21(X0))
& r1(X0,sK21(X0)) )
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f50,f51]) ).
fof(f51,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
=> ( ~ p1(sK21(X0))
& r1(X0,sK21(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
| ~ sP7(X0) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X14] :
( ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
| ~ sP7(X14) ),
inference(nnf_transformation,[],[f14]) ).
fof(f694,plain,
! [X31,X32,X33] :
( ~ p1(X31)
| p1(sK21(X31))
| p1(X32)
| ~ r1(X32,X31)
| ~ r1(X33,X32)
| ~ sP4(X33)
| ~ sP7(X31) ),
inference(resolution,[],[f114,f104]) ).
fof(f104,plain,
! [X0] :
( r1(X0,sK21(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f114,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,[],[f62]) ).
fof(f62,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,[],[f61]) ).
fof(f61,plain,
! [X25] :
( ! [X26] :
( ( p1(X26)
& sP2(X26) )
| ! [X28] :
( ~ p1(X28)
| ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X26,X28) )
| ~ r1(X25,X26) )
| ~ sP4(X25) ),
inference(nnf_transformation,[],[f11]) ).
fof(f889,plain,
( ~ spl32_31
| ~ spl32_32 ),
inference(avatar_contradiction_clause,[],[f888]) ).
fof(f888,plain,
( $false
| ~ spl32_31
| ~ spl32_32 ),
inference(subsumption_resolution,[],[f887,f320]) ).
fof(f320,plain,
( sP6(sK29)
| ~ spl32_31 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f319,plain,
( spl32_31
<=> sP6(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_31])]) ).
fof(f887,plain,
( ~ sP6(sK29)
| ~ spl32_32 ),
inference(resolution,[],[f886,f325]) ).
fof(f325,plain,
( sP14(sK22(sK29))
| ~ spl32_32 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f323,plain,
( spl32_32
<=> sP14(sK22(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_32])]) ).
fof(f886,plain,
! [X2] :
( ~ sP14(sK22(X2))
| ~ sP6(X2) ),
inference(subsumption_resolution,[],[f885,f86]) ).
fof(f885,plain,
! [X2] :
( ~ sP6(X2)
| ~ sP14(sK22(X2))
| ~ sP13(sK15(sK22(X2))) ),
inference(subsumption_resolution,[],[f873,f89]) ).
fof(f873,plain,
! [X2] :
( p1(sK16(sK15(sK22(X2))))
| ~ sP6(X2)
| ~ sP14(sK22(X2))
| ~ sP13(sK15(sK22(X2))) ),
inference(resolution,[],[f410,f88]) ).
fof(f410,plain,
! [X2,X3] :
( ~ r1(sK15(sK22(X3)),X2)
| p1(X2)
| ~ sP6(X3)
| ~ sP14(sK22(X3)) ),
inference(subsumption_resolution,[],[f397,f87]) ).
fof(f397,plain,
! [X2,X3] :
( p1(X2)
| ~ r1(sK15(sK22(X3)),X2)
| ~ p1(sK15(sK22(X3)))
| ~ sP6(X3)
| ~ sP14(sK22(X3)) ),
inference(resolution,[],[f108,f85]) ).
fof(f108,plain,
! [X2,X3,X0] :
( ~ r1(sK22(X0),X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ p1(X2)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,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])],[f54,f55]) ).
fof(f55,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(f54,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
| ~ sP6(X0) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X8] :
( ? [X20] :
( ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& ~ p1(X20)
& r1(X8,X20) )
| ~ sP6(X8) ),
inference(nnf_transformation,[],[f13]) ).
fof(f653,plain,
( ~ spl32_65
| spl32_66
| ~ spl32_55 ),
inference(avatar_split_clause,[],[f619,f584,f651,f647]) ).
fof(f584,plain,
( spl32_55
<=> ! [X4,X3] :
( p1(X3)
| ~ r1(sK30,X4)
| ~ r1(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_55])]) ).
fof(f619,plain,
( ! [X16] :
( p1(X16)
| ~ r1(sK26(sK30),X16)
| ~ sP1(sK30) )
| ~ spl32_55 ),
inference(resolution,[],[f585,f119]) ).
fof(f119,plain,
! [X0] :
( r1(X0,sK26(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f585,plain,
( ! [X3,X4] :
( ~ r1(sK30,X4)
| p1(X3)
| ~ r1(X4,X3) )
| ~ spl32_55 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f606,plain,
~ spl32_54,
inference(avatar_contradiction_clause,[],[f605]) ).
fof(f605,plain,
( $false
| ~ spl32_54 ),
inference(subsumption_resolution,[],[f604,f132]) ).
fof(f604,plain,
( ~ sP12(sK29)
| ~ spl32_54 ),
inference(resolution,[],[f602,f92]) ).
fof(f92,plain,
! [X0] :
( sP11(X0)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f602,plain,
( ~ sP11(sK29)
| ~ spl32_54 ),
inference(resolution,[],[f582,f128]) ).
fof(f582,plain,
( ! [X5] :
( ~ r1(X5,sK30)
| ~ sP11(X5) )
| ~ spl32_54 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f581,plain,
( spl32_54
<=> ! [X5] :
( ~ r1(X5,sK30)
| ~ sP11(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_54])]) ).
fof(f586,plain,
( spl32_54
| spl32_55 ),
inference(avatar_split_clause,[],[f579,f584,f581]) ).
fof(f579,plain,
! [X3,X4,X5] :
( p1(X3)
| ~ r1(X4,X3)
| ~ r1(sK30,X4)
| ~ r1(X5,sK30)
| ~ sP11(X5) ),
inference(subsumption_resolution,[],[f561,f95]) ).
fof(f95,plain,
! [X3,X0,X1,X4] :
( ~ p1(sK17(X1))
| p1(X4)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,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])],[f34,f35]) ).
fof(f35,plain,
! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
=> ( ~ p1(sK17(X1))
& r1(X1,sK17(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,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,[],[f33]) ).
fof(f33,plain,
! [X8] :
( ! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X16,X18) )
| ~ r1(X8,X16) )
| ~ sP11(X8) ),
inference(nnf_transformation,[],[f18]) ).
fof(f561,plain,
! [X3,X4,X5] :
( p1(X3)
| ~ r1(X4,X3)
| ~ r1(sK30,X4)
| ~ r1(X5,sK30)
| ~ sP11(X5)
| p1(sK17(sK30)) ),
inference(resolution,[],[f94,f129]) ).
fof(f129,plain,
! [X4] :
( ~ r1(sK30,X4)
| p1(X4) ),
inference(cnf_transformation,[],[f84]) ).
fof(f94,plain,
! [X3,X0,X1,X4] :
( r1(X1,sK17(X1))
| p1(X4)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f559,plain,
( spl32_24
| spl32_31
| ~ spl32_43 ),
inference(avatar_split_clause,[],[f558,f422,f319,f283]) ).
fof(f422,plain,
( spl32_43
<=> sP10(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_43])]) ).
fof(f558,plain,
( sP6(sK29)
| p1(sK29)
| ~ spl32_43 ),
inference(subsumption_resolution,[],[f414,f423]) ).
fof(f423,plain,
( sP10(sK29)
| ~ spl32_43 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f414,plain,
( sP6(sK29)
| p1(sK29)
| ~ sP10(sK29) ),
inference(resolution,[],[f368,f128]) ).
fof(f368,plain,
! [X1] :
( ~ r1(X1,sK30)
| sP6(X1)
| p1(X1)
| ~ sP10(X1) ),
inference(subsumption_resolution,[],[f358,f97]) ).
fof(f97,plain,
! [X0,X1] :
( ~ p1(sK18(X1))
| sP6(X0)
| ~ r1(X0,X1)
| p1(X0)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,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])],[f38,f39]) ).
fof(f39,plain,
! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
=> ( ~ p1(sK18(X1))
& r1(X1,sK18(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0] :
( sP6(X0)
| ! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ sP10(X0) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X8] :
( sP6(X8)
| ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ~ r1(X8,X23) )
| p1(X8)
| ~ sP10(X8) ),
inference(nnf_transformation,[],[f17]) ).
fof(f358,plain,
! [X1] :
( sP6(X1)
| ~ r1(X1,sK30)
| p1(X1)
| ~ sP10(X1)
| p1(sK18(sK30)) ),
inference(resolution,[],[f96,f129]) ).
fof(f96,plain,
! [X0,X1] :
( r1(X1,sK18(X1))
| sP6(X0)
| ~ r1(X0,X1)
| p1(X0)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f428,plain,
spl32_43,
inference(avatar_contradiction_clause,[],[f427]) ).
fof(f427,plain,
( $false
| spl32_43 ),
inference(subsumption_resolution,[],[f426,f132]) ).
fof(f426,plain,
( ~ sP12(sK29)
| spl32_43 ),
inference(resolution,[],[f424,f91]) ).
fof(f91,plain,
! [X0] :
( sP10(X0)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f424,plain,
( ~ sP10(sK29)
| spl32_43 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f326,plain,
( ~ spl32_31
| spl32_32 ),
inference(avatar_split_clause,[],[f317,f323,f319]) ).
fof(f317,plain,
( sP14(sK22(sK29))
| ~ sP6(sK29) ),
inference(subsumption_resolution,[],[f271,f107]) ).
fof(f107,plain,
! [X0] :
( ~ p1(sK22(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f271,plain,
( p1(sK22(sK29))
| sP14(sK22(sK29))
| ~ sP6(sK29) ),
inference(resolution,[],[f130,f106]) ).
fof(f106,plain,
! [X0] :
( r1(X0,sK22(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f130,plain,
! [X2] :
( ~ r1(sK29,X2)
| p1(X2)
| sP14(X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f306,plain,
( ~ spl32_27
| spl32_28 ),
inference(avatar_split_clause,[],[f297,f303,f299]) ).
fof(f297,plain,
( sP14(sK19(sK29))
| ~ sP9(sK29) ),
inference(subsumption_resolution,[],[f268,f99]) ).
fof(f99,plain,
! [X0] :
( ~ p1(sK19(X0))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f268,plain,
( p1(sK19(sK29))
| sP14(sK19(sK29))
| ~ sP9(sK29) ),
inference(resolution,[],[f130,f98]) ).
fof(f98,plain,
! [X0] :
( r1(X0,sK19(X0))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL658+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 18:01:51 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.mb4PcVtJa8/Vampire---4.8_14326
% 0.22/0.37 % (14526)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (14532)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.22/0.43 % (14533)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.22/0.43 % (14531)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.43 % (14529)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.22/0.43 % (14530)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.22/0.43 % (14528)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.22/0.43 % (14527)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.22/0.44 % (14532)Refutation not found, incomplete strategy% (14532)------------------------------
% 0.22/0.44 % (14532)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (14532)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (14532)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44
% 0.22/0.44 % (14532)Memory used [KB]: 5884
% 0.22/0.44 % (14532)Time elapsed: 0.015 s
% 0.22/0.44 % (14532)------------------------------
% 0.22/0.44 % (14532)------------------------------
% 0.22/0.49 % (14535)ott+10_8:1_br=off:cond=on:ep=RSTC:fsd=off:nm=0:sos=all:sp=reverse_weighted_frequency:tgt=full:urr=on_336 on Vampire---4 for (336ds/0Mi)
% 0.22/0.49 % (14531)First to succeed.
% 0.22/0.49 % (14531)Refutation found. Thanks to Tanya!
% 0.22/0.49 % SZS status Theorem for Vampire---4
% 0.22/0.49 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.49 % (14531)------------------------------
% 0.22/0.49 % (14531)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.49 % (14531)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.49 % (14531)Termination reason: Refutation
% 0.22/0.49
% 0.22/0.49 % (14531)Memory used [KB]: 6780
% 0.22/0.49 % (14531)Time elapsed: 0.068 s
% 0.22/0.49 % (14531)------------------------------
% 0.22/0.49 % (14531)------------------------------
% 0.22/0.49 % (14526)Success in time 0.126 s
% 0.22/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------