TSTP Solution File: LCL654+1.001 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL654+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 : n021.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 17:49:10 EDT 2022
% Result : Theorem 1.83s 0.66s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 18
% Syntax : Number of formulae : 82 ( 9 unt; 0 def)
% Number of atoms : 571 ( 0 equ)
% Maximal formula atoms : 56 ( 6 avg)
% Number of connectives : 952 ( 463 ~; 364 |; 109 &)
% ( 7 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-1 aty)
% Number of variables : 308 ( 245 !; 63 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2142,plain,
$false,
inference(avatar_sat_refutation,[],[f89,f148,f357,f713,f720,f741,f1938,f2120,f2129]) ).
fof(f2129,plain,
( spl9_9
| ~ spl9_117 ),
inference(avatar_split_clause,[],[f2128,f711,f84]) ).
fof(f84,plain,
( spl9_9
<=> ! [X1] :
( ~ r1(sK5,X1)
| r1(X1,sK1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_9])]) ).
fof(f711,plain,
( spl9_117
<=> ! [X2,X1] :
( r1(X1,sK1(X1))
| ~ r1(X2,sK6)
| ~ r1(X2,X1)
| ~ r1(sK0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_117])]) ).
fof(f2128,plain,
( ! [X1] :
( r1(X1,sK1(X1))
| ~ r1(sK5,X1) )
| ~ spl9_117 ),
inference(subsumption_resolution,[],[f1917,f27]) ).
fof(f27,plain,
r1(sK0,sK5),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
( ! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ( r1(X2,sK1(X2))
& ~ p1(sK1(X2)) ) )
| ! [X4] :
( ~ r1(X1,X4)
| ( r1(X4,sK2(X4))
& ! [X6] :
( p1(X6)
| ~ r1(sK2(X4),X6) ) ) )
| ~ r1(sK0,X1) )
& ! [X7] :
( ~ r1(sK0,X7)
| r1(X7,sK3(X7)) )
& ! [X9] :
( ~ p1(X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( r1(X10,sK4(X10))
& p1(sK4(X10)) ) )
| ~ r1(sK0,X9) )
& r1(sK0,sK5)
& ! [X13] :
( p1(X13)
| ~ r1(sK5,X13) )
& r1(sK5,sK6)
& ~ p1(sK7)
& r1(sK6,sK7)
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ~ r1(X17,X18)
| ( r1(X18,sK8(X18))
& ~ p1(sK8(X18)) ) )
| ~ r1(X16,X17)
| ! [X20] :
( p1(X20)
| ~ r1(X17,X20) ) )
| ~ r1(sK0,X16) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f9,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f10,plain,
( ? [X0] :
( ! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ? [X3] :
( r1(X2,X3)
& ~ p1(X3) ) )
| ! [X4] :
( ~ r1(X1,X4)
| ? [X5] :
( r1(X4,X5)
& ! [X6] :
( p1(X6)
| ~ r1(X5,X6) ) ) )
| ~ r1(X0,X1) )
& ! [X7] :
( ~ r1(X0,X7)
| ? [X8] : r1(X7,X8) )
& ! [X9] :
( ~ p1(X9)
| ! [X10] :
( ~ r1(X9,X10)
| ? [X11] :
( r1(X10,X11)
& p1(X11) ) )
| ~ r1(X0,X9) )
& ? [X12] :
( r1(X0,X12)
& ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
& ? [X14] :
( r1(X12,X14)
& ? [X15] :
( ~ p1(X15)
& r1(X14,X15) ) ) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ~ r1(X17,X18)
| ? [X19] :
( r1(X18,X19)
& ~ p1(X19) ) )
| ~ r1(X16,X17)
| ! [X20] :
( p1(X20)
| ~ r1(X17,X20) ) )
| ~ r1(X0,X16) ) )
=> ( ! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ? [X3] :
( r1(X2,X3)
& ~ p1(X3) ) )
| ! [X4] :
( ~ r1(X1,X4)
| ? [X5] :
( r1(X4,X5)
& ! [X6] :
( p1(X6)
| ~ r1(X5,X6) ) ) )
| ~ r1(sK0,X1) )
& ! [X7] :
( ~ r1(sK0,X7)
| ? [X8] : r1(X7,X8) )
& ! [X9] :
( ~ p1(X9)
| ! [X10] :
( ~ r1(X9,X10)
| ? [X11] :
( r1(X10,X11)
& p1(X11) ) )
| ~ r1(sK0,X9) )
& ? [X12] :
( r1(sK0,X12)
& ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
& ? [X14] :
( r1(X12,X14)
& ? [X15] :
( ~ p1(X15)
& r1(X14,X15) ) ) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ~ r1(X17,X18)
| ? [X19] :
( r1(X18,X19)
& ~ p1(X19) ) )
| ~ r1(X16,X17)
| ! [X20] :
( p1(X20)
| ~ r1(X17,X20) ) )
| ~ r1(sK0,X16) ) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
! [X2] :
( ? [X3] :
( r1(X2,X3)
& ~ p1(X3) )
=> ( r1(X2,sK1(X2))
& ~ p1(sK1(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
! [X4] :
( ? [X5] :
( r1(X4,X5)
& ! [X6] :
( p1(X6)
| ~ r1(X5,X6) ) )
=> ( r1(X4,sK2(X4))
& ! [X6] :
( p1(X6)
| ~ r1(sK2(X4),X6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X7] :
( ? [X8] : r1(X7,X8)
=> r1(X7,sK3(X7)) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X10] :
( ? [X11] :
( r1(X10,X11)
& p1(X11) )
=> ( r1(X10,sK4(X10))
& p1(sK4(X10)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ? [X12] :
( r1(sK0,X12)
& ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
& ? [X14] :
( r1(X12,X14)
& ? [X15] :
( ~ p1(X15)
& r1(X14,X15) ) ) )
=> ( r1(sK0,sK5)
& ! [X13] :
( p1(X13)
| ~ r1(sK5,X13) )
& ? [X14] :
( r1(sK5,X14)
& ? [X15] :
( ~ p1(X15)
& r1(X14,X15) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X14] :
( r1(sK5,X14)
& ? [X15] :
( ~ p1(X15)
& r1(X14,X15) ) )
=> ( r1(sK5,sK6)
& ? [X15] :
( ~ p1(X15)
& r1(sK6,X15) ) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X15] :
( ~ p1(X15)
& r1(sK6,X15) )
=> ( ~ p1(sK7)
& r1(sK6,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X18] :
( ? [X19] :
( r1(X18,X19)
& ~ p1(X19) )
=> ( r1(X18,sK8(X18))
& ~ p1(sK8(X18)) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
? [X0] :
( ! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ? [X3] :
( r1(X2,X3)
& ~ p1(X3) ) )
| ! [X4] :
( ~ r1(X1,X4)
| ? [X5] :
( r1(X4,X5)
& ! [X6] :
( p1(X6)
| ~ r1(X5,X6) ) ) )
| ~ r1(X0,X1) )
& ! [X7] :
( ~ r1(X0,X7)
| ? [X8] : r1(X7,X8) )
& ! [X9] :
( ~ p1(X9)
| ! [X10] :
( ~ r1(X9,X10)
| ? [X11] :
( r1(X10,X11)
& p1(X11) ) )
| ~ r1(X0,X9) )
& ? [X12] :
( r1(X0,X12)
& ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
& ? [X14] :
( r1(X12,X14)
& ? [X15] :
( ~ p1(X15)
& r1(X14,X15) ) ) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ~ r1(X17,X18)
| ? [X19] :
( r1(X18,X19)
& ~ p1(X19) ) )
| ~ r1(X16,X17)
| ! [X20] :
( p1(X20)
| ~ r1(X17,X20) ) )
| ~ r1(X0,X16) ) ),
inference(rectify,[],[f8]) ).
fof(f8,plain,
? [X0] :
( ! [X15] :
( ! [X19] :
( ~ r1(X15,X19)
| ? [X20] :
( r1(X19,X20)
& ~ p1(X20) ) )
| ! [X16] :
( ~ r1(X15,X16)
| ? [X17] :
( r1(X16,X17)
& ! [X18] :
( p1(X18)
| ~ r1(X17,X18) ) ) )
| ~ r1(X0,X15) )
& ! [X6] :
( ~ r1(X0,X6)
| ? [X7] : r1(X6,X7) )
& ! [X8] :
( ~ p1(X8)
| ! [X9] :
( ~ r1(X8,X9)
| ? [X10] :
( r1(X9,X10)
& p1(X10) ) )
| ~ r1(X0,X8) )
& ? [X11] :
( r1(X0,X11)
& ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
& ? [X13] :
( r1(X11,X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) ) ) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ? [X4] :
( r1(X3,X4)
& ~ p1(X4) ) )
| ~ r1(X1,X2)
| ! [X5] :
( p1(X5)
| ~ r1(X2,X5) ) )
| ~ r1(X0,X1) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
? [X0] :
( ! [X6] :
( ~ r1(X0,X6)
| ? [X7] : r1(X6,X7) )
& ! [X15] :
( ~ r1(X0,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ? [X17] :
( r1(X16,X17)
& ! [X18] :
( p1(X18)
| ~ r1(X17,X18) ) ) )
| ! [X19] :
( ~ r1(X15,X19)
| ? [X20] :
( r1(X19,X20)
& ~ p1(X20) ) ) )
& ! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ! [X5] :
( p1(X5)
| ~ r1(X2,X5) )
| ! [X3] :
( ~ r1(X2,X3)
| ? [X4] :
( r1(X3,X4)
& ~ p1(X4) ) ) )
| ~ r1(X0,X1) )
& ! [X8] :
( ~ r1(X0,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ? [X10] :
( r1(X9,X10)
& p1(X10) ) )
| ~ p1(X8) )
& ? [X11] :
( r1(X0,X11)
& ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
& ? [X13] :
( r1(X11,X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X6] :
( ~ ! [X7] : ~ r1(X6,X7)
| ~ r1(X0,X6) )
| ~ ! [X15] :
( ~ r1(X0,X15)
| ~ ( ~ ! [X16] :
( ~ r1(X15,X16)
| ~ ! [X17] :
( ~ ! [X18] :
( p1(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) ) )
& ~ ! [X19] :
( ~ r1(X15,X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| p1(X20) ) ) ) )
| ~ ! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X5] :
( p1(X5)
| ~ r1(X2,X5) )
& ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| p1(X4) ) ) ) )
| ~ r1(X0,X1) )
| ~ ! [X8] :
( ~ r1(X0,X8)
| ~ ( ~ ! [X9] :
( ~ ! [X10] :
( ~ r1(X9,X10)
| ~ p1(X10) )
| ~ r1(X8,X9) )
& p1(X8) ) )
| ! [X11] :
( ~ r1(X0,X11)
| ~ ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
| ! [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| p1(X14) )
| ~ r1(X11,X13) ) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ! [X6] :
( ~ ! [X7] : ~ r1(X6,X7)
| ~ r1(X0,X6) )
| ~ ! [X15] :
( ~ r1(X0,X15)
| ~ ( ~ ! [X16] :
( ~ r1(X15,X16)
| ~ ! [X17] :
( ~ ! [X18] :
( p1(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) ) )
& ~ ! [X19] :
( ~ r1(X15,X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| p1(X20) ) ) ) )
| ~ ! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X5] :
( p1(X5)
| ~ r1(X2,X5) )
& ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| p1(X4) ) ) ) )
| ~ r1(X0,X1) )
| ~ ! [X8] :
( ~ r1(X0,X8)
| ~ ( ~ ! [X9] :
( ~ ! [X10] :
( ~ r1(X9,X10)
| ~ p1(X10) )
| ~ r1(X8,X9) )
& p1(X8) ) )
| ! [X11] :
( ~ r1(X0,X11)
| ~ ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
| ! [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| p1(X14) )
| ~ r1(X11,X13) ) ) ),
inference(true_and_false_elimination,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X5] :
( p1(X5)
| ~ r1(X2,X5) )
& ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| p1(X4) ) ) ) )
| ~ r1(X0,X1) )
| ~ ! [X6] :
( ~ r1(X0,X6)
| ~ ! [X7] :
( $false
| ~ r1(X6,X7) ) )
| ~ ! [X8] :
( ~ r1(X0,X8)
| ~ ( ~ ! [X9] :
( ~ ! [X10] :
( ~ r1(X9,X10)
| ~ p1(X10) )
| ~ r1(X8,X9) )
& p1(X8) ) )
| ! [X11] :
( ~ r1(X0,X11)
| ~ ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
| ! [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| p1(X14) )
| ~ r1(X11,X13) ) )
| ~ ! [X15] :
( ~ r1(X0,X15)
| ~ ( ~ ! [X16] :
( ~ r1(X15,X16)
| ~ ! [X17] :
( ~ ! [X18] :
( p1(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) ) )
& ~ ! [X19] :
( ~ r1(X15,X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| p1(X20) ) ) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( $false
| ~ r1(X1,X0) ) )
| ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( $false
| ~ r1(X1,X0) ) )
| ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f1917,plain,
( ! [X1] :
( ~ r1(sK5,X1)
| r1(X1,sK1(X1))
| ~ r1(sK0,sK5) )
| ~ spl9_117 ),
inference(resolution,[],[f712,f25]) ).
fof(f25,plain,
r1(sK5,sK6),
inference(cnf_transformation,[],[f19]) ).
fof(f712,plain,
( ! [X2,X1] :
( ~ r1(X2,sK6)
| ~ r1(sK0,X2)
| r1(X1,sK1(X1))
| ~ r1(X2,X1) )
| ~ spl9_117 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f2120,plain,
~ spl9_121,
inference(avatar_contradiction_clause,[],[f2119]) ).
fof(f2119,plain,
( $false
| ~ spl9_121 ),
inference(subsumption_resolution,[],[f2118,f27]) ).
fof(f2118,plain,
( ~ r1(sK0,sK5)
| ~ spl9_121 ),
inference(resolution,[],[f740,f25]) ).
fof(f740,plain,
( ! [X2] :
( ~ r1(X2,sK6)
| ~ r1(sK0,X2) )
| ~ spl9_121 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f739,plain,
( spl9_121
<=> ! [X2] :
( ~ r1(X2,sK6)
| ~ r1(sK0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_121])]) ).
fof(f1938,plain,
( ~ spl9_9
| ~ spl9_10
| ~ spl9_21
| spl9_116 ),
inference(avatar_contradiction_clause,[],[f1937]) ).
fof(f1937,plain,
( $false
| ~ spl9_9
| ~ spl9_10
| ~ spl9_21
| spl9_116 ),
inference(subsumption_resolution,[],[f1936,f20]) ).
fof(f20,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f1936,plain,
( ~ r1(sK5,sK5)
| ~ spl9_9
| ~ spl9_10
| ~ spl9_21
| spl9_116 ),
inference(subsumption_resolution,[],[f1935,f27]) ).
fof(f1935,plain,
( ~ r1(sK0,sK5)
| ~ r1(sK5,sK5)
| ~ spl9_9
| ~ spl9_10
| ~ spl9_21
| spl9_116 ),
inference(resolution,[],[f1932,f25]) ).
fof(f1932,plain,
( ! [X0] :
( ~ r1(X0,sK6)
| ~ r1(sK0,X0)
| ~ r1(X0,sK5) )
| ~ spl9_9
| ~ spl9_10
| ~ spl9_21
| spl9_116 ),
inference(subsumption_resolution,[],[f769,f708]) ).
fof(f708,plain,
( ~ p1(sK8(sK2(sK6)))
| spl9_116 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f707,plain,
( spl9_116
<=> p1(sK8(sK2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_116])]) ).
fof(f769,plain,
( ! [X0] :
( ~ r1(X0,sK6)
| p1(sK8(sK2(sK6)))
| ~ r1(sK0,X0)
| ~ r1(X0,sK5) )
| ~ spl9_9
| ~ spl9_10
| ~ spl9_21 ),
inference(resolution,[],[f764,f253]) ).
fof(f253,plain,
( ! [X2,X0,X1] :
( ~ r1(sK2(X1),X2)
| ~ r1(X0,X1)
| p1(X2)
| ~ r1(X0,sK5)
| ~ r1(sK0,X0) )
| ~ spl9_9 ),
inference(resolution,[],[f252,f31]) ).
fof(f31,plain,
! [X2,X1,X6,X4] :
( ~ p1(sK1(X2))
| ~ r1(X1,X4)
| ~ r1(X1,X2)
| p1(X6)
| ~ r1(sK2(X4),X6)
| ~ r1(sK0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f252,plain,
( p1(sK1(sK5))
| ~ spl9_9 ),
inference(resolution,[],[f247,f26]) ).
fof(f26,plain,
! [X13] :
( ~ r1(sK5,X13)
| p1(X13) ),
inference(cnf_transformation,[],[f19]) ).
fof(f247,plain,
( r1(sK5,sK1(sK5))
| ~ spl9_9 ),
inference(resolution,[],[f85,f20]) ).
fof(f85,plain,
( ! [X1] :
( ~ r1(sK5,X1)
| r1(X1,sK1(X1)) )
| ~ spl9_9 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f764,plain,
( r1(sK2(sK6),sK8(sK2(sK6)))
| ~ spl9_10
| ~ spl9_21 ),
inference(resolution,[],[f144,f361]) ).
fof(f361,plain,
( r1(sK6,sK2(sK6))
| ~ spl9_10 ),
inference(resolution,[],[f88,f25]) ).
fof(f88,plain,
( ! [X0] :
( ~ r1(sK5,X0)
| r1(X0,sK2(X0)) )
| ~ spl9_10 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl9_10
<=> ! [X0] :
( ~ r1(sK5,X0)
| r1(X0,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_10])]) ).
fof(f144,plain,
( ! [X0] :
( ~ r1(sK6,X0)
| r1(X0,sK8(X0)) )
| ~ spl9_21 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl9_21
<=> ! [X0] :
( ~ r1(sK6,X0)
| r1(X0,sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_21])]) ).
fof(f741,plain,
( spl9_22
| spl9_121
| ~ spl9_10
| ~ spl9_116 ),
inference(avatar_split_clause,[],[f737,f707,f87,f739,f146]) ).
fof(f146,plain,
( spl9_22
<=> ! [X1] :
( ~ r1(sK6,X1)
| p1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_22])]) ).
fof(f737,plain,
( ! [X2,X3] :
( ~ r1(X2,sK6)
| ~ r1(sK6,X3)
| ~ r1(sK0,X2)
| p1(X3) )
| ~ spl9_10
| ~ spl9_116 ),
inference(resolution,[],[f721,f361]) ).
fof(f721,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,sK2(sK6))
| ~ r1(X2,X0)
| ~ r1(X0,X1)
| ~ r1(sK0,X2)
| p1(X1) )
| ~ spl9_116 ),
inference(resolution,[],[f709,f21]) ).
fof(f21,plain,
! [X18,X16,X17,X20] :
( ~ p1(sK8(X18))
| ~ r1(X17,X20)
| ~ r1(X16,X17)
| p1(X20)
| ~ r1(X17,X18)
| ~ r1(sK0,X16) ),
inference(cnf_transformation,[],[f19]) ).
fof(f709,plain,
( p1(sK8(sK2(sK6)))
| ~ spl9_116 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f720,plain,
~ spl9_22,
inference(avatar_contradiction_clause,[],[f719]) ).
fof(f719,plain,
( $false
| ~ spl9_22 ),
inference(subsumption_resolution,[],[f717,f24]) ).
fof(f24,plain,
~ p1(sK7),
inference(cnf_transformation,[],[f19]) ).
fof(f717,plain,
( p1(sK7)
| ~ spl9_22 ),
inference(resolution,[],[f147,f23]) ).
fof(f23,plain,
r1(sK6,sK7),
inference(cnf_transformation,[],[f19]) ).
fof(f147,plain,
( ! [X1] :
( ~ r1(sK6,X1)
| p1(X1) )
| ~ spl9_22 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f713,plain,
( spl9_116
| spl9_117
| ~ spl9_10
| ~ spl9_21 ),
inference(avatar_split_clause,[],[f705,f143,f87,f711,f707]) ).
fof(f705,plain,
( ! [X2,X1] :
( r1(X1,sK1(X1))
| ~ r1(X2,sK6)
| ~ r1(sK0,X2)
| p1(sK8(sK2(sK6)))
| ~ r1(X2,X1) )
| ~ spl9_10
| ~ spl9_21 ),
inference(resolution,[],[f699,f33]) ).
fof(f33,plain,
! [X2,X1,X6,X4] :
( ~ r1(sK2(X4),X6)
| r1(X2,sK1(X2))
| ~ r1(sK0,X1)
| ~ r1(X1,X4)
| p1(X6)
| ~ r1(X1,X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f699,plain,
( r1(sK2(sK6),sK8(sK2(sK6)))
| ~ spl9_10
| ~ spl9_21 ),
inference(resolution,[],[f144,f361]) ).
fof(f357,plain,
( spl9_10
| ~ spl9_9 ),
inference(avatar_split_clause,[],[f356,f84,f87]) ).
fof(f356,plain,
( ! [X0] :
( ~ r1(sK5,X0)
| r1(X0,sK2(X0)) )
| ~ spl9_9 ),
inference(subsumption_resolution,[],[f283,f27]) ).
fof(f283,plain,
( ! [X0] :
( ~ r1(sK0,sK5)
| ~ r1(sK5,X0)
| r1(X0,sK2(X0)) )
| ~ spl9_9 ),
inference(resolution,[],[f254,f20]) ).
fof(f254,plain,
( ! [X3,X4] :
( ~ r1(X3,sK5)
| ~ r1(X3,X4)
| ~ r1(sK0,X3)
| r1(X4,sK2(X4)) )
| ~ spl9_9 ),
inference(resolution,[],[f252,f32]) ).
fof(f32,plain,
! [X2,X1,X4] :
( ~ p1(sK1(X2))
| ~ r1(X1,X2)
| ~ r1(X1,X4)
| r1(X4,sK2(X4))
| ~ r1(sK0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f148,plain,
( spl9_21
| spl9_22 ),
inference(avatar_split_clause,[],[f132,f146,f143]) ).
fof(f132,plain,
! [X0,X1] :
( ~ r1(sK6,X1)
| p1(X1)
| ~ r1(sK6,X0)
| r1(X0,sK8(X0)) ),
inference(resolution,[],[f114,f25]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ r1(sK5,X0)
| ~ r1(X0,X1)
| ~ r1(X0,X2)
| r1(X1,sK8(X1))
| p1(X2) ),
inference(resolution,[],[f22,f27]) ).
fof(f22,plain,
! [X18,X16,X17,X20] :
( ~ r1(sK0,X16)
| ~ r1(X17,X18)
| p1(X20)
| ~ r1(X16,X17)
| r1(X18,sK8(X18))
| ~ r1(X17,X20) ),
inference(cnf_transformation,[],[f19]) ).
fof(f89,plain,
( spl9_9
| spl9_10 ),
inference(avatar_split_clause,[],[f73,f87,f84]) ).
fof(f73,plain,
! [X0,X1] :
( ~ r1(sK5,X0)
| ~ r1(sK5,X1)
| r1(X0,sK2(X0))
| r1(X1,sK1(X1)) ),
inference(resolution,[],[f34,f27]) ).
fof(f34,plain,
! [X2,X1,X4] :
( ~ r1(sK0,X1)
| ~ r1(X1,X4)
| r1(X2,sK1(X2))
| r1(X4,sK2(X4))
| ~ r1(X1,X2) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : LCL654+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 30 02:12:40 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.53 % (25062)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.53 % (25078)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 (2999ds/498Mi)
% 0.17/0.54 TRYING [1]
% 0.17/0.54 % (25070)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 (2999ds/68Mi)
% 0.17/0.54 TRYING [2]
% 0.17/0.54 TRYING [3]
% 0.17/0.54 % (25079)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 (2999ds/467Mi)
% 0.17/0.55 % (25071)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 (2999ds/75Mi)
% 0.17/0.55 % (25063)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.55 TRYING [4]
% 0.17/0.55 % (25063)Instruction limit reached!
% 0.17/0.55 % (25063)------------------------------
% 0.17/0.55 % (25063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56 TRYING [5]
% 1.60/0.56 TRYING [6]
% 1.60/0.57 % (25056)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.60/0.57 % (25063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.57 % (25063)Termination reason: Unknown
% 1.60/0.57 % (25063)Termination phase: Saturation
% 1.60/0.57
% 1.60/0.57 % (25063)Memory used [KB]: 5500
% 1.60/0.57 % (25063)Time elapsed: 0.137 s
% 1.60/0.57 % (25063)Instructions burned: 7 (million)
% 1.60/0.57 % (25063)------------------------------
% 1.60/0.57 % (25063)------------------------------
% 1.60/0.57 TRYING [1]
% 1.60/0.57 TRYING [2]
% 1.60/0.57 TRYING [3]
% 1.83/0.57 TRYING [7]
% 1.83/0.59 % (25061)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 (2999ds/48Mi)
% 1.83/0.59 % (25058)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.83/0.59 TRYING [4]
% 1.83/0.59 % (25069)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.83/0.60 TRYING [5]
% 1.83/0.60 % (25074)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.83/0.60 % (25073)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.83/0.60 % (25080)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.83/0.60 % (25062)Instruction limit reached!
% 1.83/0.60 % (25062)------------------------------
% 1.83/0.60 % (25062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.60 % (25062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.60 % (25062)Termination reason: Unknown
% 1.83/0.60 % (25062)Termination phase: Finite model building SAT solving
% 1.83/0.60
% 1.83/0.60 % (25062)Memory used [KB]: 6396
% 1.83/0.60 % (25062)Time elapsed: 0.156 s
% 1.83/0.60 % (25062)Instructions burned: 51 (million)
% 1.83/0.60 % (25062)------------------------------
% 1.83/0.60 % (25062)------------------------------
% 1.83/0.60 % (25059)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.83/0.60 TRYING [1]
% 1.83/0.60 TRYING [2]
% 1.83/0.60 % (25085)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 (2999ds/355Mi)
% 1.83/0.60 % (25082)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 (2999ds/68Mi)
% 1.83/0.60 TRYING [3]
% 1.83/0.60 % (25060)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.83/0.61 % (25077)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.83/0.61 % (25065)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.83/0.61 % (25072)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.83/0.61 % (25068)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.83/0.61 % (25066)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.83/0.62 % (25076)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 (2999ds/176Mi)
% 1.83/0.62 % (25057)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.83/0.62 % (25064)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.83/0.62 % (25064)Instruction limit reached!
% 1.83/0.62 % (25064)------------------------------
% 1.83/0.62 % (25064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.62 % (25064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.62 % (25064)Termination reason: Unknown
% 1.83/0.62 % (25064)Termination phase: Blocked clause elimination
% 1.83/0.62
% 1.83/0.62 % (25064)Memory used [KB]: 895
% 1.83/0.62 % (25064)Time elapsed: 0.003 s
% 1.83/0.62 % (25064)Instructions burned: 2 (million)
% 1.83/0.62 % (25064)------------------------------
% 1.83/0.62 % (25064)------------------------------
% 1.83/0.62 % (25057)Refutation not found, incomplete strategy% (25057)------------------------------
% 1.83/0.62 % (25057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.62 % (25057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.62 % (25057)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.62
% 1.83/0.62 % (25057)Memory used [KB]: 5373
% 1.83/0.62 % (25057)Time elapsed: 0.161 s
% 1.83/0.62 % (25057)Instructions burned: 2 (million)
% 1.83/0.62 % (25057)------------------------------
% 1.83/0.62 % (25057)------------------------------
% 1.83/0.62 TRYING [6]
% 1.83/0.62 % (25081)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.83/0.62 % (25075)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.83/0.62 % (25084)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.83/0.63 TRYING [4]
% 1.83/0.63 TRYING [5]
% 1.83/0.63 % (25083)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.83/0.64 % (25067)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.83/0.64 TRYING [7]
% 1.83/0.65 % (25079)First to succeed.
% 1.83/0.65 TRYING [6]
% 1.83/0.66 % (25079)Refutation found. Thanks to Tanya!
% 1.83/0.66 % SZS status Theorem for theBenchmark
% 1.83/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 1.83/0.66 % (25079)------------------------------
% 1.83/0.66 % (25079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.66 % (25079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.66 % (25079)Termination reason: Refutation
% 1.83/0.66
% 1.83/0.66 % (25079)Memory used [KB]: 6652
% 1.83/0.66 % (25079)Time elapsed: 0.240 s
% 1.83/0.66 % (25079)Instructions burned: 57 (million)
% 1.83/0.66 % (25079)------------------------------
% 1.83/0.66 % (25079)------------------------------
% 1.83/0.66 % (25055)Success in time 0.315 s
%------------------------------------------------------------------------------