TSTP Solution File: LCL638+1.001 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL638+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:48:51 EDT 2022
% Result : Theorem 0.16s 0.49s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 55 ( 5 unt; 0 def)
% Number of atoms : 468 ( 0 equ)
% Maximal formula atoms : 60 ( 8 avg)
% Number of connectives : 817 ( 404 ~; 295 |; 106 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-1 aty)
% Number of variables : 266 ( 215 !; 51 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f214,plain,
$false,
inference(avatar_sat_refutation,[],[f96,f135,f142,f146,f213]) ).
fof(f213,plain,
~ spl8_18,
inference(avatar_contradiction_clause,[],[f212]) ).
fof(f212,plain,
( $false
| ~ spl8_18 ),
inference(subsumption_resolution,[],[f211,f18]) ).
fof(f18,plain,
~ p1(sK7),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( ! [X1] :
( ! [X2] :
( ( p1(sK1(X2))
& r1(X2,sK1(X2)) )
| ~ r1(X1,X2) )
| ~ p1(X1)
| ~ r1(sK0,X1) )
& ! [X4] :
( r1(X4,sK2(X4))
| ~ r1(sK0,X4) )
& ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ( r1(X8,sK3(X8))
& p1(sK3(X8)) )
| ~ r1(X7,X8) ) )
| ( ! [X11] :
( ~ r1(sK4(X6),X11)
| ~ p1(X11) )
& r1(X6,sK4(X6)) )
| ~ r1(sK0,X6) )
& ! [X12] :
( ~ r1(sK0,X12)
| ! [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| p1(X14) )
| ~ r1(X12,X13) )
| ( r1(X12,sK5(X12))
& ~ p1(sK5(X12)) ) )
& ! [X16] :
( ! [X17] :
( ( r1(X17,sK6(X17))
& ~ p1(sK6(X17)) )
| ~ r1(X16,X17) )
| p1(X16)
| ~ r1(sK0,X16) )
& r1(sK0,sK7)
& ! [X20] :
( ~ r1(sK7,X20)
| p1(X20) )
& ~ p1(sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f8,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f9,plain,
( ? [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ p1(X1)
| ~ r1(X0,X1) )
& ! [X4] :
( ? [X5] : r1(X4,X5)
| ~ r1(X0,X4) )
& ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ? [X9] :
( r1(X8,X9)
& p1(X9) )
| ~ r1(X7,X8) ) )
| ? [X10] :
( ! [X11] :
( ~ r1(X10,X11)
| ~ p1(X11) )
& r1(X6,X10) )
| ~ r1(X0,X6) )
& ! [X12] :
( ~ r1(X0,X12)
| ! [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| p1(X14) )
| ~ r1(X12,X13) )
| ? [X15] :
( r1(X12,X15)
& ~ p1(X15) ) )
& ! [X16] :
( ! [X17] :
( ? [X18] :
( r1(X17,X18)
& ~ p1(X18) )
| ~ r1(X16,X17) )
| p1(X16)
| ~ r1(X0,X16) )
& ? [X19] :
( r1(X0,X19)
& ! [X20] :
( ~ r1(X19,X20)
| p1(X20) )
& ~ p1(X19) ) )
=> ( ! [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ p1(X1)
| ~ r1(sK0,X1) )
& ! [X4] :
( ? [X5] : r1(X4,X5)
| ~ r1(sK0,X4) )
& ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ? [X9] :
( r1(X8,X9)
& p1(X9) )
| ~ r1(X7,X8) ) )
| ? [X10] :
( ! [X11] :
( ~ r1(X10,X11)
| ~ p1(X11) )
& r1(X6,X10) )
| ~ r1(sK0,X6) )
& ! [X12] :
( ~ r1(sK0,X12)
| ! [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| p1(X14) )
| ~ r1(X12,X13) )
| ? [X15] :
( r1(X12,X15)
& ~ p1(X15) ) )
& ! [X16] :
( ! [X17] :
( ? [X18] :
( r1(X17,X18)
& ~ p1(X18) )
| ~ r1(X16,X17) )
| p1(X16)
| ~ r1(sK0,X16) )
& ? [X19] :
( r1(sK0,X19)
& ! [X20] :
( ~ r1(X19,X20)
| p1(X20) )
& ~ p1(X19) ) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
! [X2] :
( ? [X3] :
( p1(X3)
& r1(X2,X3) )
=> ( p1(sK1(X2))
& r1(X2,sK1(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
! [X4] :
( ? [X5] : r1(X4,X5)
=> r1(X4,sK2(X4)) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
! [X8] :
( ? [X9] :
( r1(X8,X9)
& p1(X9) )
=> ( r1(X8,sK3(X8))
& p1(sK3(X8)) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X6] :
( ? [X10] :
( ! [X11] :
( ~ r1(X10,X11)
| ~ p1(X11) )
& r1(X6,X10) )
=> ( ! [X11] :
( ~ r1(sK4(X6),X11)
| ~ p1(X11) )
& r1(X6,sK4(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X12] :
( ? [X15] :
( r1(X12,X15)
& ~ p1(X15) )
=> ( r1(X12,sK5(X12))
& ~ p1(sK5(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X17] :
( ? [X18] :
( r1(X17,X18)
& ~ p1(X18) )
=> ( r1(X17,sK6(X17))
& ~ p1(sK6(X17)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X19] :
( r1(sK0,X19)
& ! [X20] :
( ~ r1(X19,X20)
| p1(X20) )
& ~ p1(X19) )
=> ( r1(sK0,sK7)
& ! [X20] :
( ~ r1(sK7,X20)
| p1(X20) )
& ~ p1(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
? [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ p1(X1)
| ~ r1(X0,X1) )
& ! [X4] :
( ? [X5] : r1(X4,X5)
| ~ r1(X0,X4) )
& ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ? [X9] :
( r1(X8,X9)
& p1(X9) )
| ~ r1(X7,X8) ) )
| ? [X10] :
( ! [X11] :
( ~ r1(X10,X11)
| ~ p1(X11) )
& r1(X6,X10) )
| ~ r1(X0,X6) )
& ! [X12] :
( ~ r1(X0,X12)
| ! [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| p1(X14) )
| ~ r1(X12,X13) )
| ? [X15] :
( r1(X12,X15)
& ~ p1(X15) ) )
& ! [X16] :
( ! [X17] :
( ? [X18] :
( r1(X17,X18)
& ~ p1(X18) )
| ~ r1(X16,X17) )
| p1(X16)
| ~ r1(X0,X16) )
& ? [X19] :
( r1(X0,X19)
& ! [X20] :
( ~ r1(X19,X20)
| p1(X20) )
& ~ p1(X19) ) ),
inference(rectify,[],[f7]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ p1(X1)
| ~ r1(X0,X1) )
& ! [X4] :
( ? [X5] : r1(X4,X5)
| ~ r1(X0,X4) )
& ! [X15] :
( ! [X18] :
( ~ r1(X15,X18)
| ! [X19] :
( ? [X20] :
( r1(X19,X20)
& p1(X20) )
| ~ r1(X18,X19) ) )
| ? [X16] :
( ! [X17] :
( ~ r1(X16,X17)
| ~ p1(X17) )
& r1(X15,X16) )
| ~ r1(X0,X15) )
& ! [X11] :
( ~ r1(X0,X11)
| ! [X12] :
( ! [X13] :
( ~ r1(X12,X13)
| p1(X13) )
| ~ r1(X11,X12) )
| ? [X14] :
( r1(X11,X14)
& ~ p1(X14) ) )
& ! [X6] :
( ! [X7] :
( ? [X8] :
( r1(X7,X8)
& ~ p1(X8) )
| ~ r1(X6,X7) )
| p1(X6)
| ~ r1(X0,X6) )
& ? [X9] :
( r1(X0,X9)
& ! [X10] :
( ~ r1(X9,X10)
| p1(X10) )
& ~ p1(X9) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X0] :
( ! [X15] :
( ~ r1(X0,X15)
| ? [X16] :
( ! [X17] :
( ~ r1(X16,X17)
| ~ p1(X17) )
& r1(X15,X16) )
| ! [X18] :
( ~ r1(X15,X18)
| ! [X19] :
( ? [X20] :
( r1(X19,X20)
& p1(X20) )
| ~ r1(X18,X19) ) ) )
& ? [X9] :
( r1(X0,X9)
& ! [X10] :
( ~ r1(X9,X10)
| p1(X10) )
& ~ p1(X9) )
& ! [X1] :
( ~ p1(X1)
| ! [X2] :
( ? [X3] :
( p1(X3)
& r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X6] :
( p1(X6)
| ! [X7] :
( ? [X8] :
( r1(X7,X8)
& ~ p1(X8) )
| ~ r1(X6,X7) )
| ~ r1(X0,X6) )
& ! [X11] :
( ? [X14] :
( r1(X11,X14)
& ~ p1(X14) )
| ! [X12] :
( ! [X13] :
( ~ r1(X12,X13)
| p1(X13) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ! [X4] :
( ? [X5] : r1(X4,X5)
| ~ r1(X0,X4) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ! [X15] :
( ~ r1(X0,X15)
| ~ ( ! [X16] :
( ~ ! [X17] :
( ~ r1(X16,X17)
| ~ p1(X17) )
| ~ r1(X15,X16) )
& ~ ! [X18] :
( ! [X19] :
( ~ r1(X18,X19)
| ~ ! [X20] :
( ~ p1(X20)
| ~ r1(X19,X20) ) )
| ~ r1(X15,X18) ) ) )
| ! [X9] :
( ~ ! [X10] :
( ~ r1(X9,X10)
| p1(X10) )
| p1(X9)
| ~ r1(X0,X9) )
| ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X2] :
( ~ ! [X3] :
( ~ p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) )
| ~ ! [X6] :
( ~ ( ~ p1(X6)
& ~ ! [X7] :
( ~ r1(X6,X7)
| ~ ! [X8] :
( ~ r1(X7,X8)
| p1(X8) ) ) )
| ~ r1(X0,X6) )
| ~ ! [X11] :
( ~ ( ! [X14] :
( ~ r1(X11,X14)
| p1(X14) )
& ~ ! [X12] :
( ! [X13] :
( ~ r1(X12,X13)
| p1(X13) )
| ~ r1(X11,X12) ) )
| ~ r1(X0,X11) )
| ~ ! [X4] :
( ~ r1(X0,X4)
| ~ ! [X5] : ~ r1(X4,X5) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ! [X15] :
( ~ r1(X0,X15)
| ~ ( ! [X16] :
( ~ ! [X17] :
( ~ r1(X16,X17)
| ~ p1(X17) )
| ~ r1(X15,X16) )
& ~ ! [X18] :
( ! [X19] :
( ~ r1(X18,X19)
| ~ ! [X20] :
( ~ p1(X20)
| ~ r1(X19,X20) ) )
| ~ r1(X15,X18) ) ) )
| ! [X9] :
( ~ ! [X10] :
( ~ r1(X9,X10)
| p1(X10) )
| p1(X9)
| ~ r1(X0,X9) )
| ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X2] :
( ~ ! [X3] :
( ~ p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) )
| ~ ! [X6] :
( ~ ( ~ p1(X6)
& ~ ! [X7] :
( ~ r1(X6,X7)
| ~ ! [X8] :
( ~ r1(X7,X8)
| p1(X8) ) ) )
| ~ r1(X0,X6) )
| ~ ! [X11] :
( ~ ( ! [X14] :
( ~ r1(X11,X14)
| p1(X14) )
& ~ ! [X12] :
( ! [X13] :
( ~ r1(X12,X13)
| p1(X13) )
| ~ r1(X11,X12) ) )
| ~ r1(X0,X11) )
| ~ ! [X4] :
( ~ r1(X0,X4)
| ~ ! [X5] : ~ r1(X4,X5) ) ),
inference(true_and_false_elimination,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X2] :
( ~ ! [X3] :
( ~ p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) )
| ~ ! [X4] :
( ~ r1(X0,X4)
| ~ ! [X5] :
( ~ r1(X4,X5)
| $false ) )
| ~ ! [X6] :
( ~ ( ~ p1(X6)
& ~ ! [X7] :
( ~ r1(X6,X7)
| ~ ! [X8] :
( ~ r1(X7,X8)
| p1(X8) ) ) )
| ~ r1(X0,X6) )
| ! [X9] :
( ~ ! [X10] :
( ~ r1(X9,X10)
| p1(X10) )
| p1(X9)
| ~ r1(X0,X9) )
| ~ ! [X11] :
( ~ ( ! [X14] :
( ~ r1(X11,X14)
| p1(X14) )
& ~ ! [X12] :
( ! [X13] :
( ~ r1(X12,X13)
| p1(X13) )
| ~ r1(X11,X12) ) )
| ~ r1(X0,X11) )
| ~ ! [X15] :
( ~ r1(X0,X15)
| ~ ( ! [X16] :
( ~ ! [X17] :
( ~ r1(X16,X17)
| ~ p1(X17) )
| ~ r1(X15,X16) )
& ~ ! [X18] :
( ! [X19] :
( ~ r1(X18,X19)
| ~ ! [X20] :
( ~ p1(X20)
| ~ r1(X19,X20) ) )
| ~ r1(X15,X18) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ! [X1] :
( ~ ( ~ ! [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(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ! [X1] :
( ~ ( ~ ! [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(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f211,plain,
( p1(sK7)
| ~ spl8_18 ),
inference(subsumption_resolution,[],[f207,f20]) ).
fof(f20,plain,
r1(sK0,sK7),
inference(cnf_transformation,[],[f17]) ).
fof(f207,plain,
( ~ r1(sK0,sK7)
| p1(sK7)
| ~ spl8_18 ),
inference(duplicate_literal_removal,[],[f205]) ).
fof(f205,plain,
( ~ r1(sK0,sK7)
| ~ r1(sK0,sK7)
| p1(sK7)
| ~ spl8_18 ),
inference(resolution,[],[f148,f29]) ).
fof(f29,plain,
! [X4] :
( r1(X4,sK2(X4))
| ~ r1(sK0,X4) ),
inference(cnf_transformation,[],[f17]) ).
fof(f148,plain,
( ! [X0] :
( ~ r1(X0,sK2(sK7))
| ~ r1(sK0,X0)
| p1(X0) )
| ~ spl8_18 ),
inference(resolution,[],[f134,f21]) ).
fof(f21,plain,
! [X16,X17] :
( ~ p1(sK6(X17))
| ~ r1(X16,X17)
| ~ r1(sK0,X16)
| p1(X16) ),
inference(cnf_transformation,[],[f17]) ).
fof(f134,plain,
( p1(sK6(sK2(sK7)))
| ~ spl8_18 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl8_18
<=> p1(sK6(sK2(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).
fof(f146,plain,
( spl8_11
| ~ spl8_12 ),
inference(avatar_split_clause,[],[f145,f93,f90]) ).
fof(f90,plain,
( spl8_11
<=> ! [X0,X1] :
( p1(X0)
| ~ r1(sK7,X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).
fof(f93,plain,
( spl8_12
<=> r1(sK7,sK5(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).
fof(f145,plain,
( ! [X0,X1] :
( ~ r1(sK7,X0)
| ~ r1(X0,X1)
| p1(X1) )
| ~ spl8_12 ),
inference(subsumption_resolution,[],[f144,f20]) ).
fof(f144,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ r1(sK7,X0)
| ~ r1(sK0,sK7) )
| ~ spl8_12 ),
inference(resolution,[],[f143,f23]) ).
fof(f23,plain,
! [X14,X12,X13] :
( ~ p1(sK5(X12))
| ~ r1(X12,X13)
| p1(X14)
| ~ r1(X13,X14)
| ~ r1(sK0,X12) ),
inference(cnf_transformation,[],[f17]) ).
fof(f143,plain,
( p1(sK5(sK7))
| ~ spl8_12 ),
inference(resolution,[],[f95,f19]) ).
fof(f19,plain,
! [X20] :
( ~ r1(sK7,X20)
| p1(X20) ),
inference(cnf_transformation,[],[f17]) ).
fof(f95,plain,
( r1(sK7,sK5(sK7))
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f142,plain,
spl8_17,
inference(avatar_contradiction_clause,[],[f141]) ).
fof(f141,plain,
( $false
| spl8_17 ),
inference(subsumption_resolution,[],[f140,f20]) ).
fof(f140,plain,
( ~ r1(sK0,sK7)
| spl8_17 ),
inference(resolution,[],[f130,f29]) ).
fof(f130,plain,
( ~ r1(sK7,sK2(sK7))
| spl8_17 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl8_17
<=> r1(sK7,sK2(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).
fof(f135,plain,
( ~ spl8_17
| spl8_18
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f117,f90,f132,f128]) ).
fof(f117,plain,
( p1(sK6(sK2(sK7)))
| ~ r1(sK7,sK2(sK7))
| ~ spl8_11 ),
inference(resolution,[],[f99,f50]) ).
fof(f50,plain,
! [X0] :
( r1(X0,sK6(X0))
| ~ r1(sK7,X0) ),
inference(subsumption_resolution,[],[f48,f18]) ).
fof(f48,plain,
! [X0] :
( p1(sK7)
| ~ r1(sK7,X0)
| r1(X0,sK6(X0)) ),
inference(resolution,[],[f22,f20]) ).
fof(f22,plain,
! [X16,X17] :
( ~ r1(sK0,X16)
| p1(X16)
| ~ r1(X16,X17)
| r1(X17,sK6(X17)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f99,plain,
( ! [X0] :
( ~ r1(sK2(sK7),X0)
| p1(X0) )
| ~ spl8_11 ),
inference(subsumption_resolution,[],[f97,f20]) ).
fof(f97,plain,
( ! [X0] :
( ~ r1(sK2(sK7),X0)
| p1(X0)
| ~ r1(sK0,sK7) )
| ~ spl8_11 ),
inference(resolution,[],[f91,f29]) ).
fof(f91,plain,
( ! [X0,X1] :
( ~ r1(sK7,X1)
| p1(X0)
| ~ r1(X1,X0) )
| ~ spl8_11 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f96,plain,
( spl8_11
| spl8_12 ),
inference(avatar_split_clause,[],[f86,f93,f90]) ).
fof(f86,plain,
! [X0,X1] :
( r1(sK7,sK5(sK7))
| p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK7,X1) ),
inference(resolution,[],[f24,f20]) ).
fof(f24,plain,
! [X14,X12,X13] :
( ~ r1(sK0,X12)
| p1(X14)
| r1(X12,sK5(X12))
| ~ r1(X13,X14)
| ~ r1(X12,X13) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : LCL638+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32 % Computer : n014.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 02:13:03 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.47 % (13636)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.16/0.47 % (13635)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.16/0.47 % (13650)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.16/0.48 % (13634)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.16/0.48 % (13644)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.16/0.48 % (13649)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.16/0.48 TRYING [1]
% 0.16/0.48 TRYING [2]
% 0.16/0.48 TRYING [3]
% 0.16/0.48 % (13652)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.16/0.48 % (13642)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.16/0.48 % (13651)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.16/0.49 TRYING [4]
% 0.16/0.49 % (13658)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.16/0.49 % (13636)First to succeed.
% 0.16/0.49 % (13643)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.16/0.49 % (13641)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.16/0.49 TRYING [5]
% 0.16/0.49 % (13636)Refutation found. Thanks to Tanya!
% 0.16/0.49 % SZS status Theorem for theBenchmark
% 0.16/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.49 % (13636)------------------------------
% 0.16/0.49 % (13636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (13636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (13636)Termination reason: Refutation
% 0.16/0.49
% 0.16/0.49 % (13636)Memory used [KB]: 5500
% 0.16/0.49 % (13636)Time elapsed: 0.109 s
% 0.16/0.49 % (13636)Instructions burned: 5 (million)
% 0.16/0.49 % (13636)------------------------------
% 0.16/0.49 % (13636)------------------------------
% 0.16/0.49 % (13628)Success in time 0.162 s
%------------------------------------------------------------------------------