TSTP Solution File: LCL636+1.001 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL636+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_uns --cores 0 -t %d %s
% Computer : n007.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 17:43:20 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 4 unt; 0 def)
% Number of atoms : 787 ( 0 equ)
% Maximal formula atoms : 108 ( 23 avg)
% Number of connectives : 1323 ( 569 ~; 463 |; 285 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 172 ( 142 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f180,plain,
$false,
inference(avatar_sat_refutation,[],[f55,f87,f88,f179]) ).
fof(f179,plain,
( ~ spl6_2
| spl6_8 ),
inference(avatar_contradiction_clause,[],[f178]) ).
fof(f178,plain,
( $false
| ~ spl6_2
| spl6_8 ),
inference(subsumption_resolution,[],[f169,f86]) ).
fof(f86,plain,
( ~ p2(sK5)
| spl6_8 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl6_8
<=> p2(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f169,plain,
( p2(sK5)
| ~ spl6_2 ),
inference(resolution,[],[f40,f54]) ).
fof(f54,plain,
( r1(sK3,sK5)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl6_2
<=> r1(sK3,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f40,plain,
! [X5] :
( ~ r1(sK3,X5)
| p2(X5) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
( ( ( ( ! [X1] :
( ~ p101(X1)
| ~ r1(sK3,X1)
| ~ p2(X1) )
| p2(sK3) )
& ( ~ p2(sK3)
| ! [X2] :
( ~ r1(sK3,X2)
| p2(X2)
| ~ p101(X2) ) ) )
| ~ p101(sK3) )
& ~ p101(sK3)
& ( ( ( ! [X3] :
( ~ r1(sK3,X3)
| ~ p100(X3)
| ~ p1(X3) )
| p1(sK3) )
& ( ~ p1(sK3)
| ! [X4] :
( p1(X4)
| ~ p100(X4)
| ~ r1(sK3,X4) ) ) )
| ~ p100(sK3) )
& ! [X5] :
( ~ r1(sK3,X5)
| p2(X5) )
& ( p101(sK3)
| ~ p100(sK3)
| ( r1(sK3,sK4)
& p2(sK4)
& p101(sK4)
& ~ p2(sK5)
& p101(sK5)
& r1(sK3,sK5) ) )
& ! [X8] :
( ( ( ~ p101(X8)
| p100(X8) )
& ( ~ p100(X8)
| ( ( ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X8,X9) )
| p1(X8) )
& ( ~ p1(X8)
| ! [X10] :
( ~ p100(X10)
| ~ r1(X8,X10)
| p1(X10) ) ) ) )
& ( ~ p101(X8)
| ( ( p2(X8)
| ! [X11] :
( ~ p2(X11)
| ~ r1(X8,X11)
| ~ p101(X11) ) )
& ( ! [X12] :
( p2(X12)
| ~ p101(X12)
| ~ r1(X8,X12) )
| ~ p2(X8) ) ) )
& sP0(X8) )
| ~ r1(sK3,X8) )
& ( p100(sK3)
| ~ p101(sK3) )
& p100(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f15,f18,f17,f16]) ).
fof(f16,plain,
( ? [X0] :
( ( ( ( ! [X1] :
( ~ p101(X1)
| ~ r1(X0,X1)
| ~ p2(X1) )
| p2(X0) )
& ( ~ p2(X0)
| ! [X2] :
( ~ r1(X0,X2)
| p2(X2)
| ~ p101(X2) ) ) )
| ~ p101(X0) )
& ~ p101(X0)
& ( ( ( ! [X3] :
( ~ r1(X0,X3)
| ~ p100(X3)
| ~ p1(X3) )
| p1(X0) )
& ( ~ p1(X0)
| ! [X4] :
( p1(X4)
| ~ p100(X4)
| ~ r1(X0,X4) ) ) )
| ~ p100(X0) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5) )
& ( p101(X0)
| ~ p100(X0)
| ( ? [X6] :
( r1(X0,X6)
& p2(X6)
& p101(X6) )
& ? [X7] :
( ~ p2(X7)
& p101(X7)
& r1(X0,X7) ) ) )
& ! [X8] :
( ( ( ~ p101(X8)
| p100(X8) )
& ( ~ p100(X8)
| ( ( ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X8,X9) )
| p1(X8) )
& ( ~ p1(X8)
| ! [X10] :
( ~ p100(X10)
| ~ r1(X8,X10)
| p1(X10) ) ) ) )
& ( ~ p101(X8)
| ( ( p2(X8)
| ! [X11] :
( ~ p2(X11)
| ~ r1(X8,X11)
| ~ p101(X11) ) )
& ( ! [X12] :
( p2(X12)
| ~ p101(X12)
| ~ r1(X8,X12) )
| ~ p2(X8) ) ) )
& sP0(X8) )
| ~ r1(X0,X8) )
& ( p100(X0)
| ~ p101(X0) )
& p100(X0) )
=> ( ( ( ( ! [X1] :
( ~ p101(X1)
| ~ r1(sK3,X1)
| ~ p2(X1) )
| p2(sK3) )
& ( ~ p2(sK3)
| ! [X2] :
( ~ r1(sK3,X2)
| p2(X2)
| ~ p101(X2) ) ) )
| ~ p101(sK3) )
& ~ p101(sK3)
& ( ( ( ! [X3] :
( ~ r1(sK3,X3)
| ~ p100(X3)
| ~ p1(X3) )
| p1(sK3) )
& ( ~ p1(sK3)
| ! [X4] :
( p1(X4)
| ~ p100(X4)
| ~ r1(sK3,X4) ) ) )
| ~ p100(sK3) )
& ! [X5] :
( ~ r1(sK3,X5)
| p2(X5) )
& ( p101(sK3)
| ~ p100(sK3)
| ( ? [X6] :
( r1(sK3,X6)
& p2(X6)
& p101(X6) )
& ? [X7] :
( ~ p2(X7)
& p101(X7)
& r1(sK3,X7) ) ) )
& ! [X8] :
( ( ( ~ p101(X8)
| p100(X8) )
& ( ~ p100(X8)
| ( ( ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X8,X9) )
| p1(X8) )
& ( ~ p1(X8)
| ! [X10] :
( ~ p100(X10)
| ~ r1(X8,X10)
| p1(X10) ) ) ) )
& ( ~ p101(X8)
| ( ( p2(X8)
| ! [X11] :
( ~ p2(X11)
| ~ r1(X8,X11)
| ~ p101(X11) ) )
& ( ! [X12] :
( p2(X12)
| ~ p101(X12)
| ~ r1(X8,X12) )
| ~ p2(X8) ) ) )
& sP0(X8) )
| ~ r1(sK3,X8) )
& ( p100(sK3)
| ~ p101(sK3) )
& p100(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X6] :
( r1(sK3,X6)
& p2(X6)
& p101(X6) )
=> ( r1(sK3,sK4)
& p2(sK4)
& p101(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ? [X7] :
( ~ p2(X7)
& p101(X7)
& r1(sK3,X7) )
=> ( ~ p2(sK5)
& p101(sK5)
& r1(sK3,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
? [X0] :
( ( ( ( ! [X1] :
( ~ p101(X1)
| ~ r1(X0,X1)
| ~ p2(X1) )
| p2(X0) )
& ( ~ p2(X0)
| ! [X2] :
( ~ r1(X0,X2)
| p2(X2)
| ~ p101(X2) ) ) )
| ~ p101(X0) )
& ~ p101(X0)
& ( ( ( ! [X3] :
( ~ r1(X0,X3)
| ~ p100(X3)
| ~ p1(X3) )
| p1(X0) )
& ( ~ p1(X0)
| ! [X4] :
( p1(X4)
| ~ p100(X4)
| ~ r1(X0,X4) ) ) )
| ~ p100(X0) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5) )
& ( p101(X0)
| ~ p100(X0)
| ( ? [X6] :
( r1(X0,X6)
& p2(X6)
& p101(X6) )
& ? [X7] :
( ~ p2(X7)
& p101(X7)
& r1(X0,X7) ) ) )
& ! [X8] :
( ( ( ~ p101(X8)
| p100(X8) )
& ( ~ p100(X8)
| ( ( ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X8,X9) )
| p1(X8) )
& ( ~ p1(X8)
| ! [X10] :
( ~ p100(X10)
| ~ r1(X8,X10)
| p1(X10) ) ) ) )
& ( ~ p101(X8)
| ( ( p2(X8)
| ! [X11] :
( ~ p2(X11)
| ~ r1(X8,X11)
| ~ p101(X11) ) )
& ( ! [X12] :
( p2(X12)
| ~ p101(X12)
| ~ r1(X8,X12) )
| ~ p2(X8) ) ) )
& sP0(X8) )
| ~ r1(X0,X8) )
& ( p100(X0)
| ~ p101(X0) )
& p100(X0) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
? [X0] :
( ( ( ( ! [X6] :
( ~ p101(X6)
| ~ r1(X0,X6)
| ~ p2(X6) )
| p2(X0) )
& ( ~ p2(X0)
| ! [X7] :
( ~ r1(X0,X7)
| p2(X7)
| ~ p101(X7) ) ) )
| ~ p101(X0) )
& ~ p101(X0)
& ( ( ( ! [X5] :
( ~ r1(X0,X5)
| ~ p100(X5)
| ~ p1(X5) )
| p1(X0) )
& ( ~ p1(X0)
| ! [X4] :
( p1(X4)
| ~ p100(X4)
| ~ r1(X0,X4) ) ) )
| ~ p100(X0) )
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& ( p101(X0)
| ~ p100(X0)
| ( ? [X3] :
( r1(X0,X3)
& p2(X3)
& p101(X3) )
& ? [X2] :
( ~ p2(X2)
& p101(X2)
& r1(X0,X2) ) ) )
& ! [X8] :
( ( ( ~ p101(X8)
| p100(X8) )
& ( ~ p100(X8)
| ( ( ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X8,X9) )
| p1(X8) )
& ( ~ p1(X8)
| ! [X10] :
( ~ p100(X10)
| ~ r1(X8,X10)
| p1(X10) ) ) ) )
& ( ~ p101(X8)
| ( ( p2(X8)
| ! [X11] :
( ~ p2(X11)
| ~ r1(X8,X11)
| ~ p101(X11) ) )
& ( ! [X12] :
( p2(X12)
| ~ p101(X12)
| ~ r1(X8,X12) )
| ~ p2(X8) ) ) )
& sP0(X8) )
| ~ r1(X0,X8) )
& ( p100(X0)
| ~ p101(X0) )
& p100(X0) ),
inference(definition_folding,[],[f7,f8]) ).
fof(f8,plain,
! [X8] :
( ~ p100(X8)
| p101(X8)
| ( ? [X13] :
( p101(X13)
& ~ p2(X13)
& r1(X8,X13) )
& ? [X14] :
( p2(X14)
& r1(X8,X14)
& p101(X14) ) )
| ~ sP0(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f7,plain,
? [X0] :
( ( ( ( ! [X6] :
( ~ p101(X6)
| ~ r1(X0,X6)
| ~ p2(X6) )
| p2(X0) )
& ( ~ p2(X0)
| ! [X7] :
( ~ r1(X0,X7)
| p2(X7)
| ~ p101(X7) ) ) )
| ~ p101(X0) )
& ~ p101(X0)
& ( ( ( ! [X5] :
( ~ r1(X0,X5)
| ~ p100(X5)
| ~ p1(X5) )
| p1(X0) )
& ( ~ p1(X0)
| ! [X4] :
( p1(X4)
| ~ p100(X4)
| ~ r1(X0,X4) ) ) )
| ~ p100(X0) )
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& ( p101(X0)
| ~ p100(X0)
| ( ? [X3] :
( r1(X0,X3)
& p2(X3)
& p101(X3) )
& ? [X2] :
( ~ p2(X2)
& p101(X2)
& r1(X0,X2) ) ) )
& ! [X8] :
( ( ( ~ p101(X8)
| p100(X8) )
& ( ~ p100(X8)
| ( ( ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X8,X9) )
| p1(X8) )
& ( ~ p1(X8)
| ! [X10] :
( ~ p100(X10)
| ~ r1(X8,X10)
| p1(X10) ) ) ) )
& ( ~ p101(X8)
| ( ( p2(X8)
| ! [X11] :
( ~ p2(X11)
| ~ r1(X8,X11)
| ~ p101(X11) ) )
& ( ! [X12] :
( p2(X12)
| ~ p101(X12)
| ~ r1(X8,X12) )
| ~ p2(X8) ) ) )
& ( ~ p100(X8)
| p101(X8)
| ( ? [X13] :
( p101(X13)
& ~ p2(X13)
& r1(X8,X13) )
& ? [X14] :
( p2(X14)
& r1(X8,X14)
& p101(X14) ) ) ) )
| ~ r1(X0,X8) )
& ( p100(X0)
| ~ p101(X0) )
& p100(X0) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& ! [X8] :
( ( ( ~ p101(X8)
| ( ( p2(X8)
| ! [X11] :
( ~ p2(X11)
| ~ r1(X8,X11)
| ~ p101(X11) ) )
& ( ! [X12] :
( p2(X12)
| ~ p101(X12)
| ~ r1(X8,X12) )
| ~ p2(X8) ) ) )
& ( p101(X8)
| ~ p100(X8)
| ( ? [X13] :
( r1(X8,X13)
& ~ p2(X13)
& p101(X13) )
& ? [X14] :
( r1(X8,X14)
& p101(X14)
& p2(X14) ) ) )
& ( ~ p100(X8)
| ( ( ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X8,X9) )
| p1(X8) )
& ( ~ p1(X8)
| ! [X10] :
( ~ p100(X10)
| ~ r1(X8,X10)
| p1(X10) ) ) ) )
& ( ~ p101(X8)
| p100(X8) ) )
| ~ r1(X0,X8) )
& ( ( ( ! [X5] :
( ~ r1(X0,X5)
| ~ p100(X5)
| ~ p1(X5) )
| p1(X0) )
& ( ~ p1(X0)
| ! [X4] :
( p1(X4)
| ~ p100(X4)
| ~ r1(X0,X4) ) ) )
| ~ p100(X0) )
& ( ( ( ! [X6] :
( ~ p101(X6)
| ~ r1(X0,X6)
| ~ p2(X6) )
| p2(X0) )
& ( ~ p2(X0)
| ! [X7] :
( ~ r1(X0,X7)
| p2(X7)
| ~ p101(X7) ) ) )
| ~ p101(X0) )
& ~ p101(X0)
& ( ~ p100(X0)
| p101(X0)
| ( ? [X3] :
( r1(X0,X3)
& p2(X3)
& p101(X3) )
& ? [X2] :
( r1(X0,X2)
& ~ p2(X2)
& p101(X2) ) ) )
& p100(X0)
& ( p100(X0)
| ~ p101(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ( ! [X8] :
( ( ( ~ p101(X8)
| ( ( p2(X8)
| ! [X11] :
( ~ p2(X11)
| ~ r1(X8,X11)
| ~ p101(X11) ) )
& ( ! [X12] :
( p2(X12)
| ~ p101(X12)
| ~ r1(X8,X12) )
| ~ p2(X8) ) ) )
& ( ~ ( ~ p101(X8)
& p100(X8) )
| ( ~ ! [X13] :
( ~ r1(X8,X13)
| ~ ( ~ p2(X13)
& p101(X13) ) )
& ~ ! [X14] :
( ~ r1(X8,X14)
| ~ ( p101(X14)
& p2(X14) ) ) ) )
& ( ~ p100(X8)
| ( ( ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X8,X9) )
| p1(X8) )
& ( ~ p1(X8)
| ! [X10] :
( ~ p100(X10)
| ~ r1(X8,X10)
| p1(X10) ) ) ) )
& ( ~ p101(X8)
| p100(X8) ) )
| ~ r1(X0,X8) )
& ( ( ( ! [X5] :
( ~ r1(X0,X5)
| ~ p100(X5)
| ~ p1(X5) )
| p1(X0) )
& ( ~ p1(X0)
| ! [X4] :
( p1(X4)
| ~ p100(X4)
| ~ r1(X0,X4) ) ) )
| ~ p100(X0) )
& ( ( ( ! [X6] :
( ~ p101(X6)
| ~ r1(X0,X6)
| ~ p2(X6) )
| p2(X0) )
& ( ~ p2(X0)
| ! [X7] :
( ~ r1(X0,X7)
| p2(X7)
| ~ p101(X7) ) ) )
| ~ p101(X0) )
& ~ p101(X0)
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X3] :
( ~ r1(X0,X3)
| ~ ( p2(X3)
& p101(X3) ) )
& ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ p2(X2)
& p101(X2) ) ) ) )
& p100(X0)
& ( p100(X0)
| ~ p101(X0) ) ) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ( ! [X8] :
( ( ( ~ p102(X8)
| p101(X8) )
& ( ~ p101(X8)
| ( ( p2(X8)
| ! [X11] :
( ~ p2(X11)
| ~ r1(X8,X11)
| ~ p101(X11) ) )
& ( ! [X12] :
( p2(X12)
| ~ p101(X12)
| ~ r1(X8,X12) )
| ~ p2(X8) ) ) )
& ( ~ ( ~ p101(X8)
& p100(X8) )
| ( ~ ! [X13] :
( ~ r1(X8,X13)
| ~ ( ~ p2(X13)
& p101(X13)
& ~ p102(X13) ) )
& ~ ! [X14] :
( ~ r1(X8,X14)
| ~ ( p101(X14)
& p2(X14)
& ~ p102(X14) ) ) ) )
& ( ~ p100(X8)
| ( ( ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X8,X9) )
| p1(X8) )
& ( ~ p1(X8)
| ! [X10] :
( ~ p100(X10)
| ~ r1(X8,X10)
| p1(X10) ) ) ) )
& ( ~ p101(X8)
| p100(X8) ) )
| ~ r1(X0,X8) )
& ( ( ( ! [X5] :
( ~ r1(X0,X5)
| ~ p100(X5)
| ~ p1(X5) )
| p1(X0) )
& ( ~ p1(X0)
| ! [X4] :
( p1(X4)
| ~ p100(X4)
| ~ r1(X0,X4) ) ) )
| ~ p100(X0) )
& ( ( ( ! [X6] :
( ~ p101(X6)
| ~ r1(X0,X6)
| ~ p2(X6) )
| p2(X0) )
& ( ~ p2(X0)
| ! [X7] :
( ~ r1(X0,X7)
| p2(X7)
| ~ p101(X7) ) ) )
| ~ p101(X0) )
& ~ p101(X0)
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X3] :
( ~ r1(X0,X3)
| ~ ( ~ p102(X3)
& p2(X3)
& p101(X3) ) )
& ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ p102(X2)
& ~ p2(X2)
& p101(X2) ) ) ) )
& p100(X0)
& ( ~ p102(X0)
| p101(X0) )
& ( p100(X0)
| ~ p101(X0) ) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ( ! [X8] :
( ( ( ~ p102(X8)
| p101(X8) )
& ( ~ p101(X8)
| ( ( p2(X8)
| ! [X11] :
( ~ p2(X11)
| ~ r1(X8,X11)
| ~ p101(X11) ) )
& ( ! [X12] :
( p2(X12)
| ~ p101(X12)
| ~ r1(X8,X12) )
| ~ p2(X8) ) ) )
& ( ~ ( ~ p101(X8)
& p100(X8) )
| ( ~ ! [X13] :
( ~ r1(X8,X13)
| ~ ( ~ p2(X13)
& p101(X13)
& ~ p102(X13) ) )
& ~ ! [X14] :
( ~ r1(X8,X14)
| ~ ( p101(X14)
& p2(X14)
& ~ p102(X14) ) ) ) )
& ( ~ p100(X8)
| ( ( ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X8,X9) )
| p1(X8) )
& ( ~ p1(X8)
| ! [X10] :
( ~ p100(X10)
| ~ r1(X8,X10)
| p1(X10) ) ) ) )
& ( ~ p101(X8)
| p100(X8) ) )
| ~ r1(X0,X8) )
& ( ( ( ! [X5] :
( ~ r1(X0,X5)
| ~ p100(X5)
| ~ p1(X5) )
| p1(X0) )
& ( ~ p1(X0)
| ! [X4] :
( p1(X4)
| ~ p100(X4)
| ~ r1(X0,X4) ) ) )
| ~ p100(X0) )
& ( ( ( ! [X6] :
( ~ p101(X6)
| ~ r1(X0,X6)
| ~ p2(X6) )
| p2(X0) )
& ( ~ p2(X0)
| ! [X7] :
( ~ r1(X0,X7)
| p2(X7)
| ~ p101(X7) ) ) )
| ~ p101(X0) )
& ~ p101(X0)
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X3] :
( ~ r1(X0,X3)
| ~ ( ~ p102(X3)
& p2(X3)
& p101(X3) ) )
& ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ p102(X2)
& ~ p2(X2)
& p101(X2) ) ) ) )
& p100(X0)
& ( ~ p102(X0)
| p101(X0) )
& ( p100(X0)
| ~ p101(X0) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ( ( ~ p102(X0)
| p101(X0) )
& ( ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p2(X1)
& ~ p102(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p2(X1)
& p101(X1)
& ~ p102(X1) )
| ~ r1(X0,X1) ) )
| ~ ( p100(X0)
& ~ p101(X0) ) )
& ( ( ( ~ p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p100(X1)
| p1(X1) ) )
& ( ! [X1] :
( ~ r1(X0,X1)
| ~ p100(X1)
| ~ p1(X1) )
| p1(X0) ) )
| ~ p100(X0) )
& ( ~ p101(X0)
| ( ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ r1(X0,X1)
| ~ p2(X1) ) )
& ( ~ p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ r1(X0,X1)
| p2(X1) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ( ( ~ p102(X1)
| p101(X1) )
& ( p100(X1)
| ~ p101(X1) )
& ( ( ( p1(X1)
| ! [X0] :
( ~ p1(X0)
| ~ p100(X0)
| ~ r1(X1,X0) ) )
& ( ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( ~ p101(X1)
| ( ( p2(X1)
| ! [X0] :
( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X1,X0) ) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ p101(X0) )
| ~ p2(X1) ) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p102(X0)
& p101(X0)
& ~ p2(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p102(X0)
& p101(X0)
& p2(X0) ) ) )
| ~ ( p100(X1)
& ~ p101(X1) ) ) ) )
& ( p100(X0)
| ~ p101(X0) )
& ~ p101(X0)
& p100(X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ( ( ~ p102(X0)
| p101(X0) )
& ( ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p2(X1)
& ~ p102(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p2(X1)
& p101(X1)
& ~ p102(X1) )
| ~ r1(X0,X1) ) )
| ~ ( p100(X0)
& ~ p101(X0) ) )
& ( ( ( ~ p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p100(X1)
| p1(X1) ) )
& ( ! [X1] :
( ~ r1(X0,X1)
| ~ p100(X1)
| ~ p1(X1) )
| p1(X0) ) )
| ~ p100(X0) )
& ( ~ p101(X0)
| ( ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ r1(X0,X1)
| ~ p2(X1) ) )
& ( ~ p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ r1(X0,X1)
| p2(X1) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ( ( ~ p102(X1)
| p101(X1) )
& ( p100(X1)
| ~ p101(X1) )
& ( ( ( p1(X1)
| ! [X0] :
( ~ p1(X0)
| ~ p100(X0)
| ~ r1(X1,X0) ) )
& ( ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( ~ p101(X1)
| ( ( p2(X1)
| ! [X0] :
( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X1,X0) ) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ p101(X0) )
| ~ p2(X1) ) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p102(X0)
& p101(X0)
& ~ p2(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p102(X0)
& p101(X0)
& p2(X0) ) ) )
| ~ ( p100(X1)
& ~ p101(X1) ) ) ) )
& ( p100(X0)
| ~ p101(X0) )
& ~ p101(X0)
& p100(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f88,plain,
spl6_1,
inference(avatar_split_clause,[],[f26,f48]) ).
fof(f48,plain,
( spl6_1
<=> p100(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f26,plain,
p100(sK3),
inference(cnf_transformation,[],[f19]) ).
fof(f87,plain,
( ~ spl6_8
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f82,f48,f84]) ).
fof(f82,plain,
( ~ p100(sK3)
| ~ p2(sK5) ),
inference(subsumption_resolution,[],[f36,f43]) ).
fof(f43,plain,
~ p101(sK3),
inference(cnf_transformation,[],[f19]) ).
fof(f36,plain,
( ~ p2(sK5)
| ~ p100(sK3)
| p101(sK3) ),
inference(cnf_transformation,[],[f19]) ).
fof(f55,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f46,f52,f48]) ).
fof(f46,plain,
( r1(sK3,sK5)
| ~ p100(sK3) ),
inference(subsumption_resolution,[],[f34,f43]) ).
fof(f34,plain,
( p101(sK3)
| ~ p100(sK3)
| r1(sK3,sK5) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL636+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 01:56:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.51 % (6501)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (6484)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (6484)First to succeed.
% 0.19/0.52 % (6484)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (6484)------------------------------
% 0.19/0.52 % (6484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (6484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (6484)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (6484)Memory used [KB]: 6012
% 0.19/0.52 % (6484)Time elapsed: 0.094 s
% 0.19/0.52 % (6484)Instructions burned: 3 (million)
% 0.19/0.52 % (6484)------------------------------
% 0.19/0.52 % (6484)------------------------------
% 0.19/0.52 % (6476)Success in time 0.165 s
%------------------------------------------------------------------------------