TSTP Solution File: LCL688+1.001 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL688+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 : 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 : Thu Aug 31 08:30:02 EDT 2023
% Result : Theorem 2.23s 0.77s
% Output : Refutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 22
% Syntax : Number of formulae : 80 ( 10 unt; 0 def)
% Number of atoms : 691 ( 0 equ)
% Maximal formula atoms : 80 ( 8 avg)
% Number of connectives : 1189 ( 578 ~; 433 |; 158 &)
% ( 6 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 7 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-1 aty)
% Number of variables : 386 (; 309 !; 77 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15306,plain,
$false,
inference(avatar_sat_refutation,[],[f551,f925,f2151,f8815,f9137,f15165,f15305]) ).
fof(f15305,plain,
spl13_1336,
inference(avatar_contradiction_clause,[],[f15304]) ).
fof(f15304,plain,
( $false
| spl13_1336 ),
inference(resolution,[],[f15188,f45]) ).
fof(f45,plain,
r1(sK0,sK2),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
( ! [X1] :
( ( p1(sK1(X1))
& r1(X1,sK1(X1)) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(sK0,X1) )
& ! [X6] :
( ( ~ p2(sK3(X6))
& r1(X6,sK3(X6)) )
| ~ r1(sK2,X6) )
& r1(sK0,sK2)
& ~ p1(sK5)
& r1(sK4,sK5)
& ! [X11] :
( p1(X11)
| ~ r1(sK6,X11) )
& r1(sK4,sK6)
& r1(sK0,sK4)
& ( ( ! [X13] :
( ~ p1(X13)
| ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(sK7,X13) )
& ~ p1(sK7)
& r1(sK0,sK7) )
| ! [X15] :
( ( ~ p1(sK8(X15))
& r1(X15,sK8(X15)) )
| ~ r1(sK0,X15) )
| p1(sK0) )
& ! [X17] :
( ( ! [X18] :
( ! [X19] :
( ( ! [X21] :
( ~ p2(X21)
| ~ r1(sK9(X19),X21) )
& r1(X19,sK9(X19)) )
| ~ r1(X18,X19) )
| ~ p2(X18)
| ! [X22] :
( ( p2(X22)
& r1(X22,sK10(X22)) )
| ~ r1(X18,X22) )
| ~ r1(X17,X18) )
& ! [X24] :
( ( p2(sK11(X24))
& r1(sK11(X24),sK12(X24))
& r1(X24,sK11(X24)) )
| ~ r1(X17,X24) ) )
| ~ r1(sK0,X17) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f10,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13]) ).
fof(f13,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ( ? [X12] :
( ! [X13] :
( ~ p1(X13)
| ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
& ~ p1(X12)
& r1(X0,X12) )
| ! [X15] :
( ? [X16] :
( ~ p1(X16)
& r1(X15,X16) )
| ~ r1(X0,X15) )
| p1(X0) )
& ! [X17] :
( ( ! [X18] :
( ! [X19] :
( ? [X20] :
( ! [X21] :
( ~ p2(X21)
| ~ r1(X20,X21) )
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ p2(X18)
| ! [X22] :
( ( p2(X22)
& ? [X23] : r1(X22,X23) )
| ~ r1(X18,X22) )
| ~ r1(X17,X18) )
& ! [X24] :
( ? [X25] :
( p2(X25)
& ? [X26] : r1(X25,X26)
& r1(X24,X25) )
| ~ r1(X17,X24) ) )
| ~ r1(X0,X17) ) )
=> ( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(sK0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(sK0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(sK0,X8) )
& ( ? [X12] :
( ! [X13] :
( ~ p1(X13)
| ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
& ~ p1(X12)
& r1(sK0,X12) )
| ! [X15] :
( ? [X16] :
( ~ p1(X16)
& r1(X15,X16) )
| ~ r1(sK0,X15) )
| p1(sK0) )
& ! [X17] :
( ( ! [X18] :
( ! [X19] :
( ? [X20] :
( ! [X21] :
( ~ p2(X21)
| ~ r1(X20,X21) )
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ p2(X18)
| ! [X22] :
( ( p2(X22)
& ? [X23] : r1(X22,X23) )
| ~ r1(X18,X22) )
| ~ r1(X17,X18) )
& ! [X24] :
( ? [X25] :
( p2(X25)
& ? [X26] : r1(X25,X26)
& r1(X24,X25) )
| ~ r1(X17,X24) ) )
| ~ r1(sK0,X17) ) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
=> ( p1(sK1(X1))
& r1(X1,sK1(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(sK0,X5) )
=> ( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(sK2,X6) )
& r1(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
=> ( ~ p2(sK3(X6))
& r1(X6,sK3(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(sK0,X8) )
=> ( ? [X9] :
( ~ p1(X9)
& r1(sK4,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(sK4,X10) )
& r1(sK0,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ? [X9] :
( ~ p1(X9)
& r1(sK4,X9) )
=> ( ~ p1(sK5)
& r1(sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(sK4,X10) )
=> ( ! [X11] :
( p1(X11)
| ~ r1(sK6,X11) )
& r1(sK4,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
( ? [X12] :
( ! [X13] :
( ~ p1(X13)
| ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
& ~ p1(X12)
& r1(sK0,X12) )
=> ( ! [X13] :
( ~ p1(X13)
| ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(sK7,X13) )
& ~ p1(sK7)
& r1(sK0,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X15] :
( ? [X16] :
( ~ p1(X16)
& r1(X15,X16) )
=> ( ~ p1(sK8(X15))
& r1(X15,sK8(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X19] :
( ? [X20] :
( ! [X21] :
( ~ p2(X21)
| ~ r1(X20,X21) )
& r1(X19,X20) )
=> ( ! [X21] :
( ~ p2(X21)
| ~ r1(sK9(X19),X21) )
& r1(X19,sK9(X19)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X22] :
( ? [X23] : r1(X22,X23)
=> r1(X22,sK10(X22)) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X24] :
( ? [X25] :
( p2(X25)
& ? [X26] : r1(X25,X26)
& r1(X24,X25) )
=> ( p2(sK11(X24))
& ? [X26] : r1(sK11(X24),X26)
& r1(X24,sK11(X24)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X24] :
( ? [X26] : r1(sK11(X24),X26)
=> r1(sK11(X24),sK12(X24)) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ( ? [X12] :
( ! [X13] :
( ~ p1(X13)
| ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
& ~ p1(X12)
& r1(X0,X12) )
| ! [X15] :
( ? [X16] :
( ~ p1(X16)
& r1(X15,X16) )
| ~ r1(X0,X15) )
| p1(X0) )
& ! [X17] :
( ( ! [X18] :
( ! [X19] :
( ? [X20] :
( ! [X21] :
( ~ p2(X21)
| ~ r1(X20,X21) )
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ p2(X18)
| ! [X22] :
( ( p2(X22)
& ? [X23] : r1(X22,X23) )
| ~ r1(X18,X22) )
| ~ r1(X17,X18) )
& ! [X24] :
( ? [X25] :
( p2(X25)
& ? [X26] : r1(X25,X26)
& r1(X24,X25) )
| ~ r1(X17,X24) ) )
| ~ r1(X0,X17) ) ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ( ? [X12] :
( ! [X13] :
( ~ p1(X13)
| ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
& ~ p1(X12)
& r1(X0,X12) )
| ! [X15] :
( ? [X16] :
( ~ p1(X16)
& r1(X15,X16) )
| ~ r1(X0,X15) )
| p1(X0) )
& ! [X17] :
( ( ! [X18] :
( ! [X19] :
( ? [X20] :
( ! [X21] :
( ~ p2(X21)
| ~ r1(X20,X21) )
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ p2(X18)
| ! [X22] :
( ( p2(X22)
& ? [X23] : r1(X22,X23) )
| ~ r1(X18,X22) )
| ~ r1(X17,X18) )
& ! [X24] :
( ? [X25] :
( p2(X25)
& ? [X26] : r1(X25,X26)
& r1(X24,X25) )
| ~ r1(X17,X24) ) )
| ~ r1(X0,X17) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ! [X5] :
( ~ ! [X6] :
( ~ ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) )
| ( ! [X12] :
( ~ ! [X13] :
( ~ ( p1(X13)
& ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) ) )
| ~ r1(X12,X13) )
| p1(X12)
| ~ r1(X0,X12) )
& ~ ! [X15] :
( ~ ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X0,X15) )
& ~ p1(X0) )
| ~ ! [X17] :
( ~ ( ~ ! [X18] :
( ~ ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ! [X21] :
( ~ p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
& p2(X18)
& ~ ! [X22] :
( ~ ( ~ p2(X22)
| ! [X23] : ~ r1(X22,X23) )
| ~ r1(X18,X22) ) )
| ~ r1(X17,X18) )
| ~ ! [X24] :
( ~ ! [X25] :
( ~ p2(X25)
| ! [X26] : ~ r1(X25,X26)
| ~ r1(X24,X25) )
| ~ r1(X17,X24) ) )
| ~ r1(X0,X17) ) ),
inference(pure_predicate_removal,[],[f7]) ).
fof(f7,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ! [X5] :
( ~ ! [X6] :
( ~ ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) )
| ( ! [X12] :
( ~ ! [X13] :
( ~ ( p1(X13)
& ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) ) )
| ~ r1(X12,X13) )
| p1(X12)
| ~ r1(X0,X12) )
& ~ ! [X15] :
( ~ ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X0,X15) )
& ~ p1(X0) )
| ~ ! [X17] :
( ~ ( ~ ! [X18] :
( ~ ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ! [X21] :
( ~ p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
& p2(X18)
& ~ ! [X22] :
( ~ ( ~ p2(X22)
| ! [X23] : ~ r1(X22,X23) )
| ~ r1(X18,X22) ) )
| ~ r1(X17,X18) )
| ~ ! [X24] :
( ~ ! [X25] :
( ~ p2(X25)
| ! [X26] : ~ r1(X25,X26)
| ~ r1(X24,X25) )
| ~ r1(X17,X24) ) )
| ~ r1(X0,X17) )
| ~ ! [X27] :
( ~ p4(X27)
| ~ r1(X0,X27) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ! [X5] :
( ~ ! [X6] :
( ~ ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) )
| ( ! [X12] :
( ~ ! [X13] :
( ~ ( p1(X13)
& ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) ) )
| ~ r1(X12,X13) )
| p1(X12)
| ~ r1(X0,X12) )
& ~ ! [X15] :
( ~ ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X0,X15) )
& ~ p1(X0) )
| ~ ! [X17] :
( ~ ( ~ ! [X18] :
( ~ ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ! [X21] :
( ~ p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
& p2(X18)
& ~ ! [X22] :
( ~ ( ~ p2(X22)
| ! [X23] :
( p3(X23)
| ~ r1(X22,X23) ) )
| ~ r1(X18,X22) ) )
| ~ r1(X17,X18) )
| ~ ! [X24] :
( ~ ! [X25] :
( ~ p2(X25)
| ! [X26] :
( p3(X26)
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X17,X24) ) )
| ~ r1(X0,X17) )
| ~ ! [X27] :
( ~ p4(X27)
| ~ r1(X0,X27) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ! [X5] :
( ~ ! [X6] :
( ~ ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) )
| ( ! [X12] :
( ~ ! [X13] :
( ~ ( p1(X13)
& ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) ) )
| ~ r1(X12,X13) )
| p1(X12)
| ~ r1(X0,X12) )
& ~ ! [X15] :
( ~ ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X0,X15) )
& ~ p1(X0) )
| ~ ! [X17] :
( ~ ( ~ ! [X18] :
( ~ ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ! [X21] :
( ~ p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
& p2(X18)
& ~ ! [X22] :
( ~ ( ~ p2(X22)
| ! [X23] :
( p3(X23)
| ~ r1(X22,X23) ) )
| ~ r1(X18,X22) ) )
| ~ r1(X17,X18) )
| ~ ! [X24] :
( ~ ! [X25] :
( ~ p2(X25)
| ! [X26] :
( p3(X26)
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X17,X24) ) )
| ~ r1(X0,X17) )
| ~ ! [X27] :
( ~ p4(X27)
| ~ r1(X0,X27) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ( ! [X1] :
( ~ ! [X0] :
( ~ ( p1(X0)
& ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ p1(X0) )
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& p2(X0)
& ~ ! [X1] :
( ~ ( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ p4(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ( ! [X1] :
( ~ ! [X0] :
( ~ ( p1(X0)
& ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ p1(X0) )
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& p2(X0)
& ~ ! [X1] :
( ~ ( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ p4(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PMrLrUiRRB/Vampire---4.8_3497',main) ).
fof(f15188,plain,
( ~ r1(sK0,sK2)
| spl13_1336 ),
inference(resolution,[],[f15164,f97]) ).
fof(f97,plain,
! [X3] :
( p2(sK11(X3))
| ~ r1(sK0,X3) ),
inference(resolution,[],[f29,f50]) ).
fof(f50,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.PMrLrUiRRB/Vampire---4.8_3497',reflexivity) ).
fof(f29,plain,
! [X17,X24] :
( ~ r1(sK0,X17)
| ~ r1(X17,X24)
| p2(sK11(X24)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f15164,plain,
( ~ p2(sK11(sK2))
| spl13_1336 ),
inference(avatar_component_clause,[],[f15163]) ).
fof(f15163,plain,
( spl13_1336
<=> p2(sK11(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1336])]) ).
fof(f15165,plain,
( ~ spl13_1336
| spl13_72
| spl13_71
| ~ spl13_507 ),
inference(avatar_split_clause,[],[f15159,f4855,f543,f546,f15163]) ).
fof(f546,plain,
( spl13_72
<=> ! [X7] :
( p2(X7)
| ~ r1(sK11(sK2),X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_72])]) ).
fof(f543,plain,
( spl13_71
<=> ! [X8] :
( ~ r1(X8,sK11(sK2))
| ~ r1(sK0,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_71])]) ).
fof(f4855,plain,
( spl13_507
<=> ! [X4,X5,X3] :
( ~ r1(X3,sK11(sK2))
| ~ r1(sK0,X5)
| ~ r1(X5,X3)
| ~ r1(X3,X4)
| p2(X4)
| ~ p2(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_507])]) ).
fof(f15159,plain,
( ! [X0,X1] :
( ~ r1(sK0,X0)
| ~ r1(X0,sK11(sK2))
| ~ r1(sK11(sK2),X1)
| p2(X1)
| ~ p2(sK11(sK2)) )
| ~ spl13_507 ),
inference(resolution,[],[f4856,f50]) ).
fof(f4856,plain,
( ! [X3,X4,X5] :
( ~ r1(X3,sK11(sK2))
| ~ r1(sK0,X5)
| ~ r1(X5,X3)
| ~ r1(X3,X4)
| p2(X4)
| ~ p2(X3) )
| ~ spl13_507 ),
inference(avatar_component_clause,[],[f4855]) ).
fof(f9137,plain,
( ~ spl13_73
| spl13_803 ),
inference(avatar_contradiction_clause,[],[f9131]) ).
fof(f9131,plain,
( $false
| ~ spl13_73
| spl13_803 ),
inference(resolution,[],[f8813,f2456]) ).
fof(f2456,plain,
( p2(sK11(sK9(sK11(sK2))))
| ~ spl13_73 ),
inference(resolution,[],[f280,f1137]) ).
fof(f1137,plain,
( r1(sK11(sK2),sK9(sK11(sK2)))
| ~ spl13_73 ),
inference(resolution,[],[f550,f50]) ).
fof(f550,plain,
( ! [X6] :
( ~ r1(sK11(sK2),X6)
| r1(X6,sK9(X6)) )
| ~ spl13_73 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f549,plain,
( spl13_73
<=> ! [X6] :
( ~ r1(sK11(sK2),X6)
| r1(X6,sK9(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_73])]) ).
fof(f280,plain,
! [X2] :
( ~ r1(sK11(sK2),X2)
| p2(sK11(X2)) ),
inference(resolution,[],[f246,f29]) ).
fof(f246,plain,
r1(sK0,sK11(sK2)),
inference(resolution,[],[f215,f133]) ).
fof(f133,plain,
! [X3] :
( ~ r1(sK2,X3)
| r1(sK0,X3) ),
inference(resolution,[],[f51,f45]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| r1(X0,X2) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(flattening,[],[f11]) ).
fof(f11,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( r1(X1,X2)
& r1(X0,X1) )
=> r1(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.PMrLrUiRRB/Vampire---4.8_3497',transitivity) ).
fof(f215,plain,
r1(sK2,sK11(sK2)),
inference(resolution,[],[f106,f50]) ).
fof(f106,plain,
! [X1] :
( ~ r1(sK2,X1)
| r1(X1,sK11(X1)) ),
inference(resolution,[],[f27,f45]) ).
fof(f27,plain,
! [X17,X24] :
( ~ r1(sK0,X17)
| ~ r1(X17,X24)
| r1(X24,sK11(X24)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f8813,plain,
( ~ p2(sK11(sK9(sK11(sK2))))
| spl13_803 ),
inference(avatar_component_clause,[],[f8812]) ).
fof(f8812,plain,
( spl13_803
<=> p2(sK11(sK9(sK11(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_803])]) ).
fof(f8815,plain,
( spl13_507
| ~ spl13_803
| ~ spl13_73 ),
inference(avatar_split_clause,[],[f8809,f549,f8812,f4855]) ).
fof(f8809,plain,
( ! [X3,X4,X5] :
( ~ p2(sK11(sK9(sK11(sK2))))
| ~ r1(X3,sK11(sK2))
| ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(sK0,X5) )
| ~ spl13_73 ),
inference(resolution,[],[f2338,f33]) ).
fof(f33,plain,
! [X21,X18,X19,X17,X22] :
( ~ r1(sK9(X19),X21)
| ~ p2(X21)
| ~ r1(X18,X19)
| ~ p2(X18)
| p2(X22)
| ~ r1(X18,X22)
| ~ r1(X17,X18)
| ~ r1(sK0,X17) ),
inference(cnf_transformation,[],[f26]) ).
fof(f2338,plain,
( r1(sK9(sK11(sK2)),sK11(sK9(sK11(sK2))))
| ~ spl13_73 ),
inference(resolution,[],[f2056,f106]) ).
fof(f2056,plain,
( r1(sK2,sK9(sK11(sK2)))
| ~ spl13_73 ),
inference(resolution,[],[f1137,f248]) ).
fof(f248,plain,
! [X0] :
( ~ r1(sK11(sK2),X0)
| r1(sK2,X0) ),
inference(resolution,[],[f215,f51]) ).
fof(f2151,plain,
~ spl13_72,
inference(avatar_contradiction_clause,[],[f2150]) ).
fof(f2150,plain,
( $false
| ~ spl13_72 ),
inference(resolution,[],[f2140,f215]) ).
fof(f2140,plain,
( ~ r1(sK2,sK11(sK2))
| ~ spl13_72 ),
inference(resolution,[],[f2087,f47]) ).
fof(f47,plain,
! [X6] :
( ~ p2(sK3(X6))
| ~ r1(sK2,X6) ),
inference(cnf_transformation,[],[f26]) ).
fof(f2087,plain,
( p2(sK3(sK11(sK2)))
| ~ spl13_72 ),
inference(resolution,[],[f547,f247]) ).
fof(f247,plain,
r1(sK11(sK2),sK3(sK11(sK2))),
inference(resolution,[],[f215,f46]) ).
fof(f46,plain,
! [X6] :
( ~ r1(sK2,X6)
| r1(X6,sK3(X6)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f547,plain,
( ! [X7] :
( ~ r1(sK11(sK2),X7)
| p2(X7) )
| ~ spl13_72 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f925,plain,
~ spl13_71,
inference(avatar_contradiction_clause,[],[f924]) ).
fof(f924,plain,
( $false
| ~ spl13_71 ),
inference(resolution,[],[f850,f50]) ).
fof(f850,plain,
( ~ r1(sK0,sK0)
| ~ spl13_71 ),
inference(resolution,[],[f544,f246]) ).
fof(f544,plain,
( ! [X8] :
( ~ r1(X8,sK11(sK2))
| ~ r1(sK0,X8) )
| ~ spl13_71 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f551,plain,
( spl13_71
| spl13_72
| spl13_73 ),
inference(avatar_split_clause,[],[f521,f549,f546,f543]) ).
fof(f521,plain,
! [X8,X6,X7] :
( ~ r1(sK11(sK2),X6)
| r1(X6,sK9(X6))
| p2(X7)
| ~ r1(sK11(sK2),X7)
| ~ r1(X8,sK11(sK2))
| ~ r1(sK0,X8) ),
inference(resolution,[],[f125,f50]) ).
fof(f125,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK2,X0)
| ~ r1(sK11(X0),X1)
| r1(X1,sK9(X1))
| p2(X2)
| ~ r1(sK11(X0),X2)
| ~ r1(X3,sK11(X0))
| ~ r1(sK0,X3) ),
inference(resolution,[],[f95,f31]) ).
fof(f31,plain,
! [X18,X19,X17,X22] :
( ~ p2(X18)
| ~ r1(X18,X19)
| r1(X19,sK9(X19))
| p2(X22)
| ~ r1(X18,X22)
| ~ r1(X17,X18)
| ~ r1(sK0,X17) ),
inference(cnf_transformation,[],[f26]) ).
fof(f95,plain,
! [X1] :
( p2(sK11(X1))
| ~ r1(sK2,X1) ),
inference(resolution,[],[f29,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL688+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n027.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 21:44:33 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/sandbox2/tmp/tmp.PMrLrUiRRB/Vampire---4.8_3497
% 0.14/0.36 % (3639)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (3647)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)
% 0.21/0.42 % (3640)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)
% 0.21/0.42 % (3645)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)
% 0.21/0.42 % (3642)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)
% 0.21/0.42 % (3649)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)
% 0.21/0.42 % (3641)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)
% 0.21/0.43 % (3644)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)
% 2.23/0.77 % (3642)First to succeed.
% 2.23/0.77 % (3642)Refutation found. Thanks to Tanya!
% 2.23/0.77 % SZS status Theorem for Vampire---4
% 2.23/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 2.23/0.77 % (3642)------------------------------
% 2.23/0.77 % (3642)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 2.23/0.77 % (3642)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 2.23/0.77 % (3642)Termination reason: Refutation
% 2.23/0.77
% 2.23/0.77 % (3642)Memory used [KB]: 13816
% 2.23/0.77 % (3642)Time elapsed: 0.330 s
% 2.23/0.77 % (3642)------------------------------
% 2.23/0.77 % (3642)------------------------------
% 2.23/0.77 % (3639)Success in time 0.409 s
% 2.23/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------