TSTP Solution File: LCL654+1.001 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL654+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n019.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 May 1 03:15:20 EDT 2024
% Result : Theorem 0.60s 0.83s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 24
% Syntax : Number of formulae : 97 ( 10 unt; 0 def)
% Number of atoms : 647 ( 0 equ)
% Maximal formula atoms : 56 ( 6 avg)
% Number of connectives : 1080 ( 530 ~; 431 |; 97 &)
% ( 13 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 14 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-1 aty)
% Number of variables : 346 ( 292 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f929,plain,
$false,
inference(avatar_sat_refutation,[],[f46,f608,f691,f719,f721,f736,f739,f740,f750,f793,f818,f827,f855,f918,f928]) ).
fof(f928,plain,
~ spl9_25,
inference(avatar_contradiction_clause,[],[f927]) ).
fof(f927,plain,
( $false
| ~ spl9_25 ),
inference(resolution,[],[f919,f32]) ).
fof(f32,plain,
~ p1(sK3),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ! [X2] :
( p1(X2)
| ~ r1(sK1,X2) )
& ~ p1(sK3)
& r1(sK2,sK3)
& r1(sK1,sK2)
& r1(sK0,sK1)
& ! [X5] :
( r1(X5,sK4(X5))
| ~ r1(sK0,X5) )
& ! [X7] :
( ! [X8] :
( ( ~ p1(sK5(X8))
& r1(X8,sK5(X8)) )
| ~ r1(X7,X8) )
| ! [X10] :
( ( ! [X12] :
( p1(X12)
| ~ r1(sK6(X10),X12) )
& r1(X10,sK6(X10)) )
| ~ r1(X7,X10) )
| ~ r1(sK0,X7) )
& ! [X13] :
( ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ! [X16] :
( ( ~ p1(sK7(X16))
& r1(X16,sK7(X16)) )
| ~ r1(X14,X16) )
| ~ r1(X13,X14) )
| ~ r1(sK0,X13) )
& ! [X18] :
( ~ p1(X18)
| ! [X19] :
( ( p1(sK8(X19))
& r1(X19,sK8(X19)) )
| ~ r1(X18,X19) )
| ~ r1(sK0,X18) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f8,f17,f16,f15,f14,f13,f12,f11,f10,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] : r1(X5,X6)
| ~ r1(X0,X5) )
& ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
| ~ r1(X7,X8) )
| ! [X10] :
( ? [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
& r1(X10,X11) )
| ~ r1(X7,X10) )
| ~ r1(X0,X7) )
& ! [X13] :
( ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
| ~ r1(X14,X16) )
| ~ r1(X13,X14) )
| ~ r1(X0,X13) )
& ! [X18] :
( ~ p1(X18)
| ! [X19] :
( ? [X20] :
( p1(X20)
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) ) )
=> ( ? [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ? [X3] :
( ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X1,X3) )
& r1(sK0,X1) )
& ! [X5] :
( ? [X6] : r1(X5,X6)
| ~ r1(sK0,X5) )
& ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
| ~ r1(X7,X8) )
| ! [X10] :
( ? [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
& r1(X10,X11) )
| ~ r1(X7,X10) )
| ~ r1(sK0,X7) )
& ! [X13] :
( ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
| ~ r1(X14,X16) )
| ~ r1(X13,X14) )
| ~ r1(sK0,X13) )
& ! [X18] :
( ~ p1(X18)
| ! [X19] :
( ? [X20] :
( p1(X20)
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(sK0,X18) ) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ? [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ? [X3] :
( ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X1,X3) )
& r1(sK0,X1) )
=> ( ! [X2] :
( p1(X2)
| ~ r1(sK1,X2) )
& ? [X3] :
( ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(sK1,X3) )
& r1(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
( ? [X3] :
( ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(sK1,X3) )
=> ( ? [X4] :
( ~ p1(X4)
& r1(sK2,X4) )
& r1(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ? [X4] :
( ~ p1(X4)
& r1(sK2,X4) )
=> ( ~ p1(sK3)
& r1(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X5] :
( ? [X6] : r1(X5,X6)
=> r1(X5,sK4(X5)) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
=> ( ~ p1(sK5(X8))
& r1(X8,sK5(X8)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X10] :
( ? [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
& r1(X10,X11) )
=> ( ! [X12] :
( p1(X12)
| ~ r1(sK6(X10),X12) )
& r1(X10,sK6(X10)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
=> ( ~ p1(sK7(X16))
& r1(X16,sK7(X16)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X19] :
( ? [X20] :
( p1(X20)
& r1(X19,X20) )
=> ( p1(sK8(X19))
& r1(X19,sK8(X19)) ) ),
introduced(choice_axiom,[]) ).
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] : r1(X5,X6)
| ~ r1(X0,X5) )
& ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
| ~ r1(X7,X8) )
| ! [X10] :
( ? [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
& r1(X10,X11) )
| ~ r1(X7,X10) )
| ~ r1(X0,X7) )
& ! [X13] :
( ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
| ~ r1(X14,X16) )
| ~ r1(X13,X14) )
| ~ r1(X0,X13) )
& ! [X18] :
( ~ p1(X18)
| ! [X19] :
( ? [X20] :
( p1(X20)
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) ) ),
inference(flattening,[],[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] : r1(X5,X6)
| ~ r1(X0,X5) )
& ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
| ~ r1(X7,X8) )
| ! [X10] :
( ? [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
& r1(X10,X11) )
| ~ r1(X7,X10) )
| ~ r1(X0,X7) )
& ! [X13] :
( ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
| ~ r1(X14,X16) )
| ~ r1(X13,X14) )
| ~ r1(X0,X13) )
& ! [X18] :
( ~ p1(X18)
| ! [X19] :
( ? [X20] :
( p1(X20)
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) ) ),
inference(ennf_transformation,[],[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] : ~ r1(X5,X6)
| ~ r1(X0,X5) )
| ~ ! [X7] :
( ~ ( ~ ! [X8] :
( ~ ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
& ~ ! [X10] :
( ~ ! [X11] :
( ~ ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X7,X10) ) )
| ~ r1(X0,X7) )
| ~ ! [X13] :
( ! [X14] :
( ~ ( ~ ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
& ~ ! [X16] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X14,X16) ) )
| ~ r1(X13,X14) )
| ~ r1(X0,X13) )
| ~ ! [X18] :
( ~ ( p1(X18)
& ~ ! [X19] :
( ~ ! [X20] :
( ~ p1(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) ) ),
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] : ~ r1(X5,X6)
| ~ r1(X0,X5) )
| ~ ! [X7] :
( ~ ( ~ ! [X8] :
( ~ ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
& ~ ! [X10] :
( ~ ! [X11] :
( ~ ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X7,X10) ) )
| ~ r1(X0,X7) )
| ~ ! [X13] :
( ! [X14] :
( ~ ( ~ ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
& ~ ! [X16] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X14,X16) ) )
| ~ r1(X13,X14) )
| ~ r1(X0,X13) )
| ~ ! [X18] :
( ~ ( p1(X18)
& ~ ! [X19] :
( ~ ! [X20] :
( ~ p1(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) ) ),
inference(true_and_false_elimination,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ ! [X5] :
( ~ ! [X6] :
( $false
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ~ ! [X7] :
( ~ ( ~ ! [X8] :
( ~ ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
& ~ ! [X10] :
( ~ ! [X11] :
( ~ ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X7,X10) ) )
| ~ r1(X0,X7) )
| ~ ! [X13] :
( ! [X14] :
( ~ ( ~ ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
& ~ ! [X16] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X14,X16) ) )
| ~ r1(X13,X14) )
| ~ r1(X0,X13) )
| ~ ! [X18] :
( ~ ( p1(X18)
& ~ ! [X19] :
( ~ ! [X20] :
( ~ p1(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) ) ),
inference(rectify,[],[f3]) ).
fof(f3,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] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ~ ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ~ ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.1cPeEf78Ms/Vampire---4.8_26427',main) ).
fof(f919,plain,
( p1(sK3)
| ~ spl9_25 ),
inference(resolution,[],[f167,f31]) ).
fof(f31,plain,
r1(sK2,sK3),
inference(cnf_transformation,[],[f18]) ).
fof(f167,plain,
( ! [X0] :
( ~ r1(sK2,X0)
| p1(X0) )
| ~ spl9_25 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl9_25
<=> ! [X0] :
( ~ r1(sK2,X0)
| p1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_25])]) ).
fof(f918,plain,
( spl9_89
| spl9_25
| spl9_104
| spl9_54
| ~ spl9_106 ),
inference(avatar_split_clause,[],[f917,f733,f328,f716,f166,f596]) ).
fof(f596,plain,
( spl9_89
<=> ! [X0] :
( ~ r1(X0,sK2)
| ~ r1(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_89])]) ).
fof(f716,plain,
( spl9_104
<=> ! [X2,X0,X1] :
( ~ r1(sK0,X0)
| p1(X2)
| ~ r1(X1,sK6(sK2))
| ~ r1(X1,X2)
| ~ r1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_104])]) ).
fof(f328,plain,
( spl9_54
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK0,X0)
| ~ r1(X0,sK2)
| r1(X1,sK5(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_54])]) ).
fof(f733,plain,
( spl9_106
<=> r1(sK2,sK6(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_106])]) ).
fof(f917,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( r1(X0,sK5(X0))
| ~ r1(X1,sK2)
| ~ r1(sK0,X1)
| ~ r1(X2,X3)
| p1(X3)
| ~ r1(X2,sK6(sK2))
| ~ r1(X4,X2)
| ~ r1(sK0,X4)
| ~ r1(sK2,X5)
| p1(X5)
| ~ r1(X1,X0)
| ~ r1(X6,sK2)
| ~ r1(sK0,X6) )
| ~ spl9_106 ),
inference(resolution,[],[f675,f734]) ).
fof(f734,plain,
( r1(sK2,sK6(sK2))
| ~ spl9_106 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f675,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ r1(X6,sK6(X2))
| r1(X1,sK5(X1))
| ~ r1(X0,X2)
| ~ r1(sK0,X0)
| ~ r1(X3,X4)
| p1(X4)
| ~ r1(X3,sK6(X2))
| ~ r1(X5,X3)
| ~ r1(sK0,X5)
| ~ r1(X6,X7)
| p1(X7)
| ~ r1(X0,X1)
| ~ r1(X8,X6)
| ~ r1(sK0,X8) ),
inference(resolution,[],[f427,f23]) ).
fof(f23,plain,
! [X16,X14,X15,X13] :
( ~ p1(sK7(X16))
| ~ r1(X14,X15)
| p1(X15)
| ~ r1(X14,X16)
| ~ r1(X13,X14)
| ~ r1(sK0,X13) ),
inference(cnf_transformation,[],[f18]) ).
fof(f427,plain,
! [X2,X3,X0,X1,X4,X5] :
( p1(sK7(sK6(X2)))
| ~ r1(X0,X1)
| r1(X1,sK5(X1))
| ~ r1(X0,X2)
| ~ r1(sK0,X0)
| ~ r1(X3,X4)
| p1(X4)
| ~ r1(X3,sK6(X2))
| ~ r1(X5,X3)
| ~ r1(sK0,X5) ),
inference(resolution,[],[f25,f22]) ).
fof(f22,plain,
! [X16,X14,X15,X13] :
( r1(X16,sK7(X16))
| ~ r1(X14,X15)
| p1(X15)
| ~ r1(X14,X16)
| ~ r1(X13,X14)
| ~ r1(sK0,X13) ),
inference(cnf_transformation,[],[f18]) ).
fof(f25,plain,
! [X10,X8,X7,X12] :
( ~ r1(sK6(X10),X12)
| ~ r1(X7,X8)
| p1(X12)
| r1(X8,sK5(X8))
| ~ r1(X7,X10)
| ~ r1(sK0,X7) ),
inference(cnf_transformation,[],[f18]) ).
fof(f855,plain,
( spl9_34
| ~ spl9_119 ),
inference(avatar_split_clause,[],[f854,f825,f216]) ).
fof(f216,plain,
( spl9_34
<=> p1(sK5(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_34])]) ).
fof(f825,plain,
( spl9_119
<=> ! [X0] :
( ~ r1(sK1,X0)
| r1(X0,sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_119])]) ).
fof(f854,plain,
( p1(sK5(sK1))
| ~ spl9_119 ),
inference(resolution,[],[f829,f33]) ).
fof(f33,plain,
! [X2] :
( ~ r1(sK1,X2)
| p1(X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f829,plain,
( r1(sK1,sK5(sK1))
| ~ spl9_119 ),
inference(resolution,[],[f826,f19]) ).
fof(f19,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.1cPeEf78Ms/Vampire---4.8_26427',reflexivity) ).
fof(f826,plain,
( ! [X0] :
( ~ r1(sK1,X0)
| r1(X0,sK5(X0)) )
| ~ spl9_119 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f827,plain,
( spl9_119
| ~ spl9_2
| ~ spl9_54 ),
inference(avatar_split_clause,[],[f823,f328,f41,f825]) ).
fof(f41,plain,
( spl9_2
<=> r1(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f823,plain,
( ! [X0] :
( ~ r1(sK0,sK1)
| ~ r1(sK1,X0)
| r1(X0,sK5(X0)) )
| ~ spl9_54 ),
inference(resolution,[],[f329,f30]) ).
fof(f30,plain,
r1(sK1,sK2),
inference(cnf_transformation,[],[f18]) ).
fof(f329,plain,
( ! [X0,X1] :
( ~ r1(X0,sK2)
| ~ r1(sK0,X0)
| ~ r1(X0,X1)
| r1(X1,sK5(X1)) )
| ~ spl9_54 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f818,plain,
( ~ spl9_2
| ~ spl9_89 ),
inference(avatar_split_clause,[],[f817,f596,f41]) ).
fof(f817,plain,
( ~ r1(sK0,sK1)
| ~ spl9_89 ),
inference(resolution,[],[f597,f30]) ).
fof(f597,plain,
( ! [X0] :
( ~ r1(X0,sK2)
| ~ r1(sK0,X0) )
| ~ spl9_89 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f793,plain,
( ~ spl9_34
| ~ spl9_108 ),
inference(avatar_split_clause,[],[f786,f748,f216]) ).
fof(f748,plain,
( spl9_108
<=> ! [X0] :
( ~ r1(sK1,X0)
| ~ p1(sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_108])]) ).
fof(f786,plain,
( ~ p1(sK5(sK1))
| ~ spl9_108 ),
inference(resolution,[],[f749,f19]) ).
fof(f749,plain,
( ! [X0] :
( ~ r1(sK1,X0)
| ~ p1(sK5(X0)) )
| ~ spl9_108 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f750,plain,
( spl9_108
| ~ spl9_2
| ~ spl9_56 ),
inference(avatar_split_clause,[],[f742,f336,f41,f748]) ).
fof(f336,plain,
( spl9_56
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK0,X0)
| ~ r1(X0,sK2)
| ~ p1(sK5(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_56])]) ).
fof(f742,plain,
( ! [X0] :
( ~ r1(sK0,sK1)
| ~ r1(sK1,X0)
| ~ p1(sK5(X0)) )
| ~ spl9_56 ),
inference(resolution,[],[f337,f30]) ).
fof(f337,plain,
( ! [X0,X1] :
( ~ r1(X0,sK2)
| ~ r1(sK0,X0)
| ~ r1(X0,X1)
| ~ p1(sK5(X1)) )
| ~ spl9_56 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f740,plain,
( spl9_56
| spl9_106 ),
inference(avatar_split_clause,[],[f738,f733,f336]) ).
fof(f738,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ p1(sK5(X1))
| ~ r1(X0,sK2)
| ~ r1(sK0,X0) )
| spl9_106 ),
inference(resolution,[],[f735,f26]) ).
fof(f26,plain,
! [X10,X8,X7] :
( r1(X10,sK6(X10))
| ~ r1(X7,X8)
| ~ p1(sK5(X8))
| ~ r1(X7,X10)
| ~ r1(sK0,X7) ),
inference(cnf_transformation,[],[f18]) ).
fof(f735,plain,
( ~ r1(sK2,sK6(sK2))
| spl9_106 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f739,plain,
( spl9_54
| spl9_106 ),
inference(avatar_split_clause,[],[f737,f733,f328]) ).
fof(f737,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK5(X1))
| ~ r1(X0,sK2)
| ~ r1(sK0,X0) )
| spl9_106 ),
inference(resolution,[],[f735,f24]) ).
fof(f24,plain,
! [X10,X8,X7] :
( r1(X10,sK6(X10))
| ~ r1(X7,X8)
| r1(X8,sK5(X8))
| ~ r1(X7,X10)
| ~ r1(sK0,X7) ),
inference(cnf_transformation,[],[f18]) ).
fof(f736,plain,
( spl9_89
| ~ spl9_106
| ~ spl9_104 ),
inference(avatar_split_clause,[],[f726,f716,f733,f596]) ).
fof(f726,plain,
( ! [X0] :
( ~ r1(sK2,sK6(sK2))
| ~ r1(sK0,X0)
| ~ r1(X0,sK2) )
| ~ spl9_104 ),
inference(resolution,[],[f722,f31]) ).
fof(f722,plain,
( ! [X0,X1] :
( ~ r1(X1,sK3)
| ~ r1(X1,sK6(sK2))
| ~ r1(sK0,X0)
| ~ r1(X0,X1) )
| ~ spl9_104 ),
inference(resolution,[],[f717,f32]) ).
fof(f717,plain,
( ! [X2,X0,X1] :
( p1(X2)
| ~ r1(sK0,X0)
| ~ r1(X1,sK6(sK2))
| ~ r1(X1,X2)
| ~ r1(X0,X1) )
| ~ spl9_104 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f721,plain,
spl9_103,
inference(avatar_contradiction_clause,[],[f720]) ).
fof(f720,plain,
( $false
| spl9_103 ),
inference(resolution,[],[f714,f30]) ).
fof(f714,plain,
( ~ r1(sK1,sK2)
| spl9_103 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f712,plain,
( spl9_103
<=> r1(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_103])]) ).
fof(f719,plain,
( spl9_56
| ~ spl9_103
| spl9_104
| ~ spl9_98 ),
inference(avatar_split_clause,[],[f710,f689,f716,f712,f336]) ).
fof(f689,plain,
( spl9_98
<=> ! [X4,X0,X3,X2] :
( ~ r1(sK1,X0)
| ~ r1(sK0,X4)
| ~ r1(X4,X2)
| ~ r1(X2,X3)
| ~ r1(X2,sK6(X0))
| p1(X3)
| ~ r1(sK2,sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_98])]) ).
fof(f710,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(sK0,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X1,sK6(sK2))
| p1(X2)
| ~ r1(sK1,sK2)
| ~ r1(X3,X4)
| ~ p1(sK5(X4))
| ~ r1(X3,sK2)
| ~ r1(sK0,X3) )
| ~ spl9_98 ),
inference(resolution,[],[f690,f26]) ).
fof(f690,plain,
( ! [X2,X3,X0,X4] :
( ~ r1(sK2,sK6(X0))
| ~ r1(sK0,X4)
| ~ r1(X4,X2)
| ~ r1(X2,X3)
| ~ r1(X2,sK6(X0))
| p1(X3)
| ~ r1(sK1,X0) )
| ~ spl9_98 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f691,plain,
( spl9_89
| spl9_98
| ~ spl9_90 ),
inference(avatar_split_clause,[],[f683,f606,f689,f596]) ).
fof(f606,plain,
( spl9_90
<=> ! [X0,X1] :
( p1(X0)
| ~ r1(sK1,X1)
| ~ r1(sK6(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_90])]) ).
fof(f683,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(sK1,X0)
| ~ r1(sK2,sK6(X0))
| ~ r1(X1,sK2)
| ~ r1(sK0,X1)
| ~ r1(X2,X3)
| p1(X3)
| ~ r1(X2,sK6(X0))
| ~ r1(X4,X2)
| ~ r1(sK0,X4) )
| ~ spl9_90 ),
inference(resolution,[],[f678,f31]) ).
fof(f678,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r1(X0,sK3)
| ~ r1(sK1,X1)
| ~ r1(X0,sK6(X1))
| ~ r1(X2,X0)
| ~ r1(sK0,X2)
| ~ r1(X3,X4)
| p1(X4)
| ~ r1(X3,sK6(X1))
| ~ r1(X5,X3)
| ~ r1(sK0,X5) )
| ~ spl9_90 ),
inference(resolution,[],[f647,f32]) ).
fof(f647,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( p1(X2)
| ~ r1(X1,X2)
| ~ r1(sK1,X0)
| ~ r1(X1,sK6(X0))
| ~ r1(X3,X1)
| ~ r1(sK0,X3)
| ~ r1(X4,X5)
| p1(X5)
| ~ r1(X4,sK6(X0))
| ~ r1(X6,X4)
| ~ r1(sK0,X6) )
| ~ spl9_90 ),
inference(resolution,[],[f615,f22]) ).
fof(f615,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(sK6(X0),sK7(X1))
| ~ r1(sK1,X0)
| ~ r1(X2,X3)
| p1(X3)
| ~ r1(X2,X1)
| ~ r1(X4,X2)
| ~ r1(sK0,X4) )
| ~ spl9_90 ),
inference(resolution,[],[f607,f23]) ).
fof(f607,plain,
( ! [X0,X1] :
( p1(X0)
| ~ r1(sK1,X1)
| ~ r1(sK6(X1),X0) )
| ~ spl9_90 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f608,plain,
( ~ spl9_2
| spl9_90
| ~ spl9_34 ),
inference(avatar_split_clause,[],[f603,f216,f606,f41]) ).
fof(f603,plain,
( ! [X0,X1] :
( p1(X0)
| ~ r1(sK6(X1),X0)
| ~ r1(sK1,X1)
| ~ r1(sK0,sK1) )
| ~ spl9_34 ),
inference(resolution,[],[f487,f19]) ).
fof(f487,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,sK1)
| p1(X1)
| ~ r1(sK6(X2),X1)
| ~ r1(X0,X2)
| ~ r1(sK0,X0) )
| ~ spl9_34 ),
inference(resolution,[],[f218,f27]) ).
fof(f27,plain,
! [X10,X8,X7,X12] :
( ~ p1(sK5(X8))
| ~ r1(X7,X8)
| p1(X12)
| ~ r1(sK6(X10),X12)
| ~ r1(X7,X10)
| ~ r1(sK0,X7) ),
inference(cnf_transformation,[],[f18]) ).
fof(f218,plain,
( p1(sK5(sK1))
| ~ spl9_34 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f46,plain,
spl9_2,
inference(avatar_contradiction_clause,[],[f45]) ).
fof(f45,plain,
( $false
| spl9_2 ),
inference(resolution,[],[f43,f29]) ).
fof(f29,plain,
r1(sK0,sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f43,plain,
( ~ r1(sK0,sK1)
| spl9_2 ),
inference(avatar_component_clause,[],[f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL654+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32 % Computer : n019.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 : Tue Apr 30 16:39:59 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a FOF_THM_RFO_NEQ problem
% 0.11/0.32 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.1cPeEf78Ms/Vampire---4.8_26427
% 0.60/0.81 % (26542)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.81 % (26541)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.81 % (26539)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.81 % (26543)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.81 % (26540)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81 % (26544)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.81 % (26545)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.81 % (26538)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.82 % (26541)Instruction limit reached!
% 0.60/0.82 % (26541)------------------------------
% 0.60/0.82 % (26541)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (26541)Termination reason: Unknown
% 0.60/0.82 % (26541)Termination phase: Saturation
% 0.60/0.82
% 0.60/0.82 % (26541)Memory used [KB]: 1262
% 0.60/0.82 % (26541)Time elapsed: 0.018 s
% 0.60/0.82 % (26541)Instructions burned: 33 (million)
% 0.60/0.82 % (26541)------------------------------
% 0.60/0.82 % (26541)------------------------------
% 0.60/0.82 % (26538)Instruction limit reached!
% 0.60/0.82 % (26538)------------------------------
% 0.60/0.82 % (26538)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (26538)Termination reason: Unknown
% 0.60/0.82 % (26538)Termination phase: Saturation
% 0.60/0.82
% 0.60/0.82 % (26538)Memory used [KB]: 1295
% 0.60/0.82 % (26538)Time elapsed: 0.018 s
% 0.60/0.82 % (26538)Instructions burned: 34 (million)
% 0.60/0.82 % (26538)------------------------------
% 0.60/0.82 % (26538)------------------------------
% 0.60/0.82 % (26542)Instruction limit reached!
% 0.60/0.82 % (26542)------------------------------
% 0.60/0.82 % (26542)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (26542)Termination reason: Unknown
% 0.60/0.82 % (26542)Termination phase: Saturation
% 0.60/0.82
% 0.60/0.82 % (26542)Memory used [KB]: 1613
% 0.60/0.82 % (26542)Time elapsed: 0.021 s
% 0.60/0.82 % (26542)Instructions burned: 35 (million)
% 0.60/0.82 % (26542)------------------------------
% 0.60/0.82 % (26542)------------------------------
% 0.60/0.83 % (26539)First to succeed.
% 0.60/0.83 % (26546)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.83 % (26547)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.83 % (26543)Instruction limit reached!
% 0.60/0.83 % (26543)------------------------------
% 0.60/0.83 % (26543)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83 % (26543)Termination reason: Unknown
% 0.60/0.83 % (26543)Termination phase: Saturation
% 0.60/0.83
% 0.60/0.83 % (26543)Memory used [KB]: 1510
% 0.60/0.83 % (26543)Time elapsed: 0.024 s
% 0.60/0.83 % (26543)Instructions burned: 46 (million)
% 0.60/0.83 % (26543)------------------------------
% 0.60/0.83 % (26543)------------------------------
% 0.60/0.83 % (26548)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.83 % (26539)Refutation found. Thanks to Tanya!
% 0.60/0.83 % SZS status Theorem for Vampire---4
% 0.60/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.83 % (26539)------------------------------
% 0.60/0.83 % (26539)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83 % (26539)Termination reason: Refutation
% 0.60/0.83
% 0.60/0.83 % (26539)Memory used [KB]: 1410
% 0.60/0.83 % (26539)Time elapsed: 0.024 s
% 0.60/0.83 % (26539)Instructions burned: 41 (million)
% 0.60/0.83 % (26539)------------------------------
% 0.60/0.83 % (26539)------------------------------
% 0.60/0.83 % (26534)Success in time 0.49 s
% 0.60/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------