TSTP Solution File: LCL636+1.001 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n029.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 17:48:49 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 5 unt; 0 def)
% Number of atoms : 788 ( 0 equ)
% Maximal formula atoms : 108 ( 23 avg)
% Number of connectives : 1322 ( 567 ~; 463 |; 285 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 10 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 172 ( 142 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f114,plain,
$false,
inference(avatar_sat_refutation,[],[f68,f78,f106,f107,f113]) ).
fof(f113,plain,
( ~ spl6_7
| spl6_13 ),
inference(avatar_contradiction_clause,[],[f112]) ).
fof(f112,plain,
( $false
| ~ spl6_7
| spl6_13 ),
inference(subsumption_resolution,[],[f111,f105]) ).
fof(f105,plain,
( ~ p2(sK4)
| spl6_13 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl6_13
<=> p2(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f111,plain,
( p2(sK4)
| ~ spl6_7 ),
inference(resolution,[],[f44,f77]) ).
fof(f77,plain,
( r1(sK3,sK4)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl6_7
<=> r1(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f44,plain,
! [X1] :
( ~ r1(sK3,X1)
| p2(X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
( p100(sK3)
& ! [X1] :
( ~ r1(sK3,X1)
| p2(X1) )
& ~ p101(sK3)
& ( ~ p100(sK3)
| ( ~ p2(sK4)
& r1(sK3,sK4)
& p101(sK4)
& r1(sK3,sK5)
& p101(sK5)
& p2(sK5) )
| p101(sK3) )
& ( ( ( ! [X4] :
( ~ r1(sK3,X4)
| ~ p101(X4)
| p2(X4) )
| ~ p2(sK3) )
& ( p2(sK3)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(sK3,X5) ) ) )
| ~ p101(sK3) )
& ( ~ p101(sK3)
| p100(sK3) )
& ( ( ( p1(sK3)
| ! [X6] :
( ~ p1(X6)
| ~ r1(sK3,X6)
| ~ p100(X6) ) )
& ( ~ p1(sK3)
| ! [X7] :
( ~ p100(X7)
| ~ r1(sK3,X7)
| p1(X7) ) ) )
| ~ p100(sK3) )
& ! [X8] :
( ( ( ~ p101(X8)
| p100(X8) )
& ( ~ p100(X8)
| ( ( ~ p1(X8)
| ! [X9] :
( p1(X9)
| ~ p100(X9)
| ~ r1(X8,X9) ) )
& ( p1(X8)
| ! [X10] :
( ~ r1(X8,X10)
| ~ p100(X10)
| ~ p1(X10) ) ) ) )
& ( ( ( ~ p2(X8)
| ! [X11] :
( ~ r1(X8,X11)
| ~ p101(X11)
| p2(X11) ) )
& ( p2(X8)
| ! [X12] :
( ~ p2(X12)
| ~ p101(X12)
| ~ r1(X8,X12) ) ) )
| ~ p101(X8) )
& sP0(X8) )
| ~ r1(sK3,X8) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f15,f18,f17,f16]) ).
fof(f16,plain,
( ? [X0] :
( p100(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& ~ p101(X0)
& ( ~ p100(X0)
| ( ? [X2] :
( ~ p2(X2)
& r1(X0,X2)
& p101(X2) )
& ? [X3] :
( r1(X0,X3)
& p101(X3)
& p2(X3) ) )
| p101(X0) )
& ( ( ( ! [X4] :
( ~ r1(X0,X4)
| ~ p101(X4)
| p2(X4) )
| ~ p2(X0) )
& ( p2(X0)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(X0,X5) ) ) )
| ~ p101(X0) )
& ( ~ p101(X0)
| p100(X0) )
& ( ( ( p1(X0)
| ! [X6] :
( ~ p1(X6)
| ~ r1(X0,X6)
| ~ p100(X6) ) )
& ( ~ p1(X0)
| ! [X7] :
( ~ p100(X7)
| ~ r1(X0,X7)
| p1(X7) ) ) )
| ~ p100(X0) )
& ! [X8] :
( ( ( ~ p101(X8)
| p100(X8) )
& ( ~ p100(X8)
| ( ( ~ p1(X8)
| ! [X9] :
( p1(X9)
| ~ p100(X9)
| ~ r1(X8,X9) ) )
& ( p1(X8)
| ! [X10] :
( ~ r1(X8,X10)
| ~ p100(X10)
| ~ p1(X10) ) ) ) )
& ( ( ( ~ p2(X8)
| ! [X11] :
( ~ r1(X8,X11)
| ~ p101(X11)
| p2(X11) ) )
& ( p2(X8)
| ! [X12] :
( ~ p2(X12)
| ~ p101(X12)
| ~ r1(X8,X12) ) ) )
| ~ p101(X8) )
& sP0(X8) )
| ~ r1(X0,X8) ) )
=> ( p100(sK3)
& ! [X1] :
( ~ r1(sK3,X1)
| p2(X1) )
& ~ p101(sK3)
& ( ~ p100(sK3)
| ( ? [X2] :
( ~ p2(X2)
& r1(sK3,X2)
& p101(X2) )
& ? [X3] :
( r1(sK3,X3)
& p101(X3)
& p2(X3) ) )
| p101(sK3) )
& ( ( ( ! [X4] :
( ~ r1(sK3,X4)
| ~ p101(X4)
| p2(X4) )
| ~ p2(sK3) )
& ( p2(sK3)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(sK3,X5) ) ) )
| ~ p101(sK3) )
& ( ~ p101(sK3)
| p100(sK3) )
& ( ( ( p1(sK3)
| ! [X6] :
( ~ p1(X6)
| ~ r1(sK3,X6)
| ~ p100(X6) ) )
& ( ~ p1(sK3)
| ! [X7] :
( ~ p100(X7)
| ~ r1(sK3,X7)
| p1(X7) ) ) )
| ~ p100(sK3) )
& ! [X8] :
( ( ( ~ p101(X8)
| p100(X8) )
& ( ~ p100(X8)
| ( ( ~ p1(X8)
| ! [X9] :
( p1(X9)
| ~ p100(X9)
| ~ r1(X8,X9) ) )
& ( p1(X8)
| ! [X10] :
( ~ r1(X8,X10)
| ~ p100(X10)
| ~ p1(X10) ) ) ) )
& ( ( ( ~ p2(X8)
| ! [X11] :
( ~ r1(X8,X11)
| ~ p101(X11)
| p2(X11) ) )
& ( p2(X8)
| ! [X12] :
( ~ p2(X12)
| ~ p101(X12)
| ~ r1(X8,X12) ) ) )
| ~ p101(X8) )
& sP0(X8) )
| ~ r1(sK3,X8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X2] :
( ~ p2(X2)
& r1(sK3,X2)
& p101(X2) )
=> ( ~ p2(sK4)
& r1(sK3,sK4)
& p101(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ? [X3] :
( r1(sK3,X3)
& p101(X3)
& p2(X3) )
=> ( r1(sK3,sK5)
& p101(sK5)
& p2(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
? [X0] :
( p100(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& ~ p101(X0)
& ( ~ p100(X0)
| ( ? [X2] :
( ~ p2(X2)
& r1(X0,X2)
& p101(X2) )
& ? [X3] :
( r1(X0,X3)
& p101(X3)
& p2(X3) ) )
| p101(X0) )
& ( ( ( ! [X4] :
( ~ r1(X0,X4)
| ~ p101(X4)
| p2(X4) )
| ~ p2(X0) )
& ( p2(X0)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(X0,X5) ) ) )
| ~ p101(X0) )
& ( ~ p101(X0)
| p100(X0) )
& ( ( ( p1(X0)
| ! [X6] :
( ~ p1(X6)
| ~ r1(X0,X6)
| ~ p100(X6) ) )
& ( ~ p1(X0)
| ! [X7] :
( ~ p100(X7)
| ~ r1(X0,X7)
| p1(X7) ) ) )
| ~ p100(X0) )
& ! [X8] :
( ( ( ~ p101(X8)
| p100(X8) )
& ( ~ p100(X8)
| ( ( ~ p1(X8)
| ! [X9] :
( p1(X9)
| ~ p100(X9)
| ~ r1(X8,X9) ) )
& ( p1(X8)
| ! [X10] :
( ~ r1(X8,X10)
| ~ p100(X10)
| ~ p1(X10) ) ) ) )
& ( ( ( ~ p2(X8)
| ! [X11] :
( ~ r1(X8,X11)
| ~ p101(X11)
| p2(X11) ) )
& ( p2(X8)
| ! [X12] :
( ~ p2(X12)
| ~ p101(X12)
| ~ r1(X8,X12) ) ) )
| ~ p101(X8) )
& sP0(X8) )
| ~ r1(X0,X8) ) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
? [X0] :
( p100(X0)
& ! [X14] :
( ~ r1(X0,X14)
| p2(X14) )
& ~ p101(X0)
& ( ~ p100(X0)
| ( ? [X6] :
( ~ p2(X6)
& r1(X0,X6)
& p101(X6) )
& ? [X5] :
( r1(X0,X5)
& p101(X5)
& p2(X5) ) )
| p101(X0) )
& ( ( ( ! [X2] :
( ~ r1(X0,X2)
| ~ p101(X2)
| p2(X2) )
| ~ p2(X0) )
& ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1) ) ) )
| ~ p101(X0) )
& ( ~ p101(X0)
| p100(X0) )
& ( ( ( p1(X0)
| ! [X4] :
( ~ p1(X4)
| ~ r1(X0,X4)
| ~ p100(X4) ) )
& ( ~ p1(X0)
| ! [X3] :
( ~ p100(X3)
| ~ r1(X0,X3)
| p1(X3) ) ) )
| ~ p100(X0) )
& ! [X7] :
( ( ( ~ p101(X7)
| p100(X7) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X13] :
( p1(X13)
| ~ p100(X13)
| ~ r1(X7,X13) ) )
& ( p1(X7)
| ! [X12] :
( ~ r1(X7,X12)
| ~ p100(X12)
| ~ p1(X12) ) ) ) )
& ( ( ( ~ p2(X7)
| ! [X9] :
( ~ r1(X7,X9)
| ~ p101(X9)
| p2(X9) ) )
& ( p2(X7)
| ! [X8] :
( ~ p2(X8)
| ~ p101(X8)
| ~ r1(X7,X8) ) ) )
| ~ p101(X7) )
& sP0(X7) )
| ~ r1(X0,X7) ) ),
inference(definition_folding,[],[f7,f8]) ).
fof(f8,plain,
! [X7] :
( ( ? [X11] :
( ~ p2(X11)
& r1(X7,X11)
& p101(X11) )
& ? [X10] :
( p101(X10)
& p2(X10)
& r1(X7,X10) ) )
| ~ p100(X7)
| p101(X7)
| ~ sP0(X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f7,plain,
? [X0] :
( p100(X0)
& ! [X14] :
( ~ r1(X0,X14)
| p2(X14) )
& ~ p101(X0)
& ( ~ p100(X0)
| ( ? [X6] :
( ~ p2(X6)
& r1(X0,X6)
& p101(X6) )
& ? [X5] :
( r1(X0,X5)
& p101(X5)
& p2(X5) ) )
| p101(X0) )
& ( ( ( ! [X2] :
( ~ r1(X0,X2)
| ~ p101(X2)
| p2(X2) )
| ~ p2(X0) )
& ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1) ) ) )
| ~ p101(X0) )
& ( ~ p101(X0)
| p100(X0) )
& ( ( ( p1(X0)
| ! [X4] :
( ~ p1(X4)
| ~ r1(X0,X4)
| ~ p100(X4) ) )
& ( ~ p1(X0)
| ! [X3] :
( ~ p100(X3)
| ~ r1(X0,X3)
| p1(X3) ) ) )
| ~ p100(X0) )
& ! [X7] :
( ( ( ~ p101(X7)
| p100(X7) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X13] :
( p1(X13)
| ~ p100(X13)
| ~ r1(X7,X13) ) )
& ( p1(X7)
| ! [X12] :
( ~ r1(X7,X12)
| ~ p100(X12)
| ~ p1(X12) ) ) ) )
& ( ( ( ~ p2(X7)
| ! [X9] :
( ~ r1(X7,X9)
| ~ p101(X9)
| p2(X9) ) )
& ( p2(X7)
| ! [X8] :
( ~ p2(X8)
| ~ p101(X8)
| ~ r1(X7,X8) ) ) )
| ~ p101(X7) )
& ( ( ? [X11] :
( ~ p2(X11)
& r1(X7,X11)
& p101(X11) )
& ? [X10] :
( p101(X10)
& p2(X10)
& r1(X7,X10) ) )
| ~ p100(X7)
| p101(X7) ) )
| ~ r1(X0,X7) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X0] :
( ! [X14] :
( ~ r1(X0,X14)
| p2(X14) )
& ( ~ p101(X0)
| p100(X0) )
& ( ( ( ! [X2] :
( ~ r1(X0,X2)
| ~ p101(X2)
| p2(X2) )
| ~ p2(X0) )
& ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1) ) ) )
| ~ p101(X0) )
& ~ p101(X0)
& ( ( ( p1(X0)
| ! [X4] :
( ~ p1(X4)
| ~ r1(X0,X4)
| ~ p100(X4) ) )
& ( ~ p1(X0)
| ! [X3] :
( ~ p100(X3)
| ~ r1(X0,X3)
| p1(X3) ) ) )
| ~ p100(X0) )
& ( ( ? [X6] :
( p101(X6)
& ~ p2(X6)
& r1(X0,X6) )
& ? [X5] :
( p2(X5)
& p101(X5)
& r1(X0,X5) ) )
| ~ p100(X0)
| p101(X0) )
& ! [X7] :
( ~ r1(X0,X7)
| ( ( ~ p101(X7)
| p100(X7) )
& ( ( ( ~ p2(X7)
| ! [X9] :
( ~ r1(X7,X9)
| ~ p101(X9)
| p2(X9) ) )
& ( p2(X7)
| ! [X8] :
( ~ p2(X8)
| ~ p101(X8)
| ~ r1(X7,X8) ) ) )
| ~ p101(X7) )
& ( ~ p100(X7)
| p101(X7)
| ( ? [X10] :
( r1(X7,X10)
& p2(X10)
& p101(X10) )
& ? [X11] :
( p101(X11)
& ~ p2(X11)
& r1(X7,X11) ) ) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X13] :
( p1(X13)
| ~ p100(X13)
| ~ r1(X7,X13) ) )
& ( p1(X7)
| ! [X12] :
( ~ r1(X7,X12)
| ~ p100(X12)
| ~ p1(X12) ) ) ) ) ) )
& p100(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ! [X14] :
( ~ r1(X0,X14)
| p2(X14) )
| ~ ( ( ~ p101(X0)
| p100(X0) )
& ( ( ( ! [X2] :
( ~ r1(X0,X2)
| ~ p101(X2)
| p2(X2) )
| ~ p2(X0) )
& ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1) ) ) )
| ~ p101(X0) )
& ~ p101(X0)
& ( ( ( p1(X0)
| ! [X4] :
( ~ p1(X4)
| ~ r1(X0,X4)
| ~ p100(X4) ) )
& ( ~ p1(X0)
| ! [X3] :
( ~ p100(X3)
| ~ r1(X0,X3)
| p1(X3) ) ) )
| ~ p100(X0) )
& ( ( ~ ! [X6] :
( ~ ( p101(X6)
& ~ p2(X6) )
| ~ r1(X0,X6) )
& ~ ! [X5] :
( ~ ( p2(X5)
& p101(X5) )
| ~ r1(X0,X5) ) )
| ~ ( p100(X0)
& ~ p101(X0) ) )
& ! [X7] :
( ~ r1(X0,X7)
| ( ( ~ p101(X7)
| p100(X7) )
& ( ( ( ~ p2(X7)
| ! [X9] :
( ~ r1(X7,X9)
| ~ p101(X9)
| p2(X9) ) )
& ( p2(X7)
| ! [X8] :
( ~ p2(X8)
| ~ p101(X8)
| ~ r1(X7,X8) ) ) )
| ~ p101(X7) )
& ( ~ ( p100(X7)
& ~ p101(X7) )
| ( ~ ! [X10] :
( ~ r1(X7,X10)
| ~ ( p2(X10)
& p101(X10) ) )
& ~ ! [X11] :
( ~ ( p101(X11)
& ~ p2(X11) )
| ~ r1(X7,X11) ) ) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X13] :
( p1(X13)
| ~ p100(X13)
| ~ r1(X7,X13) ) )
& ( p1(X7)
| ! [X12] :
( ~ r1(X7,X12)
| ~ p100(X12)
| ~ p1(X12) ) ) ) ) ) )
& p100(X0) ) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ! [X14] :
( ~ r1(X0,X14)
| p2(X14) )
| ~ ( ( ~ p101(X0)
| p100(X0) )
& ( ( ( ! [X2] :
( ~ r1(X0,X2)
| ~ p101(X2)
| p2(X2) )
| ~ p2(X0) )
& ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1) ) ) )
| ~ p101(X0) )
& ~ p101(X0)
& ( ( ( p1(X0)
| ! [X4] :
( ~ p1(X4)
| ~ r1(X0,X4)
| ~ p100(X4) ) )
& ( ~ p1(X0)
| ! [X3] :
( ~ p100(X3)
| ~ r1(X0,X3)
| p1(X3) ) ) )
| ~ p100(X0) )
& ( ( ~ ! [X6] :
( ~ ( p101(X6)
& ~ p102(X6)
& ~ p2(X6) )
| ~ r1(X0,X6) )
& ~ ! [X5] :
( ~ ( p2(X5)
& p101(X5)
& ~ p102(X5) )
| ~ r1(X0,X5) ) )
| ~ ( p100(X0)
& ~ p101(X0) ) )
& ! [X7] :
( ~ r1(X0,X7)
| ( ( ~ p101(X7)
| p100(X7) )
& ( ~ p102(X7)
| p101(X7) )
& ( ( ( ~ p2(X7)
| ! [X9] :
( ~ r1(X7,X9)
| ~ p101(X9)
| p2(X9) ) )
& ( p2(X7)
| ! [X8] :
( ~ p2(X8)
| ~ p101(X8)
| ~ r1(X7,X8) ) ) )
| ~ p101(X7) )
& ( ~ ( p100(X7)
& ~ p101(X7) )
| ( ~ ! [X10] :
( ~ r1(X7,X10)
| ~ ( p2(X10)
& p101(X10)
& ~ p102(X10) ) )
& ~ ! [X11] :
( ~ ( p101(X11)
& ~ p2(X11)
& ~ p102(X11) )
| ~ r1(X7,X11) ) ) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X13] :
( p1(X13)
| ~ p100(X13)
| ~ r1(X7,X13) ) )
& ( p1(X7)
| ! [X12] :
( ~ r1(X7,X12)
| ~ p100(X12)
| ~ p1(X12) ) ) ) ) ) )
& p100(X0)
& ( p101(X0)
| ~ p102(X0) ) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X14] :
( ~ r1(X0,X14)
| p2(X14) )
| ~ ( ( ~ p101(X0)
| p100(X0) )
& ( ( ( ! [X2] :
( ~ r1(X0,X2)
| ~ p101(X2)
| p2(X2) )
| ~ p2(X0) )
& ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1) ) ) )
| ~ p101(X0) )
& ~ p101(X0)
& ( ( ( p1(X0)
| ! [X4] :
( ~ p1(X4)
| ~ r1(X0,X4)
| ~ p100(X4) ) )
& ( ~ p1(X0)
| ! [X3] :
( ~ p100(X3)
| ~ r1(X0,X3)
| p1(X3) ) ) )
| ~ p100(X0) )
& ( ( ~ ! [X6] :
( ~ ( p101(X6)
& ~ p102(X6)
& ~ p2(X6) )
| ~ r1(X0,X6) )
& ~ ! [X5] :
( ~ ( p2(X5)
& p101(X5)
& ~ p102(X5) )
| ~ r1(X0,X5) ) )
| ~ ( p100(X0)
& ~ p101(X0) ) )
& ! [X7] :
( ~ r1(X0,X7)
| ( ( ~ p101(X7)
| p100(X7) )
& ( ~ p102(X7)
| p101(X7) )
& ( ( ( ~ p2(X7)
| ! [X9] :
( ~ r1(X7,X9)
| ~ p101(X9)
| p2(X9) ) )
& ( p2(X7)
| ! [X8] :
( ~ p2(X8)
| ~ p101(X8)
| ~ r1(X7,X8) ) ) )
| ~ p101(X7) )
& ( ~ ( p100(X7)
& ~ p101(X7) )
| ( ~ ! [X10] :
( ~ r1(X7,X10)
| ~ ( p2(X10)
& p101(X10)
& ~ p102(X10) ) )
& ~ ! [X11] :
( ~ ( p101(X11)
& ~ p2(X11)
& ~ p102(X11) )
| ~ r1(X7,X11) ) ) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X13] :
( p1(X13)
| ~ p100(X13)
| ~ r1(X7,X13) ) )
& ( p1(X7)
| ! [X12] :
( ~ r1(X7,X12)
| ~ p100(X12)
| ~ p1(X12) ) ) ) ) ) )
& p100(X0)
& ( p101(X0)
| ~ p102(X0) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ( ( ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1) ) )
& ( ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0) ) )
| ~ p101(X0) )
& ( ~ p100(X0)
| ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p100(X1)
| p1(X1) )
| ~ p1(X0) )
& ( ! [X1] :
( ~ p1(X1)
| ~ p100(X1)
| ~ r1(X0,X1) )
| p1(X0) ) ) )
& ( ~ p101(X0)
| p100(X0) )
& ( p101(X0)
| ~ p102(X0) )
& p100(X0)
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p101(X1)
& p2(X1)
& ~ p102(X1) ) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) ) ) )
& ~ p101(X0)
& ! [X1] :
( ( ( ~ p101(X1)
| ( ( ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0)
| ~ p101(X0) )
| p2(X1) )
& ( ~ p2(X1)
| ! [X0] :
( ~ p101(X0)
| p2(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) ) )
& ~ ! [X0] :
( ~ ( ~ p102(X0)
& p101(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) )
| ~ ( p100(X1)
& ~ p101(X1) ) )
& ( ( ( p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ r1(X1,X0)
| ~ p1(X0) ) )
& ( ! [X0] :
( ~ p100(X0)
| ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p101(X1)
| p100(X1) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ( ( ( ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1) ) )
& ( ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0) ) )
| ~ p101(X0) )
& ( ~ p100(X0)
| ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p100(X1)
| p1(X1) )
| ~ p1(X0) )
& ( ! [X1] :
( ~ p1(X1)
| ~ p100(X1)
| ~ r1(X0,X1) )
| p1(X0) ) ) )
& ( ~ p101(X0)
| p100(X0) )
& ( p101(X0)
| ~ p102(X0) )
& p100(X0)
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p101(X1)
& p2(X1)
& ~ p102(X1) ) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) ) ) )
& ~ p101(X0)
& ! [X1] :
( ( ( ~ p101(X1)
| ( ( ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0)
| ~ p101(X0) )
| p2(X1) )
& ( ~ p2(X1)
| ! [X0] :
( ~ p101(X0)
| p2(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) ) )
& ~ ! [X0] :
( ~ ( ~ p102(X0)
& p101(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) )
| ~ ( p100(X1)
& ~ p101(X1) ) )
& ( ( ( p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ r1(X1,X0)
| ~ p1(X0) ) )
& ( ! [X0] :
( ~ p100(X0)
| ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p101(X1)
| p100(X1) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f107,plain,
spl6_2,
inference(avatar_split_clause,[],[f45,f51]) ).
fof(f51,plain,
( spl6_2
<=> p100(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f45,plain,
p100(sK3),
inference(cnf_transformation,[],[f19]) ).
fof(f106,plain,
( ~ spl6_13
| spl6_3
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f42,f51,f55,f103]) ).
fof(f55,plain,
( spl6_3
<=> p101(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f42,plain,
( ~ p100(sK3)
| p101(sK3)
| ~ p2(sK4) ),
inference(cnf_transformation,[],[f19]) ).
fof(f78,plain,
( spl6_3
| ~ spl6_2
| spl6_7 ),
inference(avatar_split_clause,[],[f41,f75,f51,f55]) ).
fof(f41,plain,
( r1(sK3,sK4)
| ~ p100(sK3)
| p101(sK3) ),
inference(cnf_transformation,[],[f19]) ).
fof(f68,plain,
~ spl6_3,
inference(avatar_split_clause,[],[f43,f55]) ).
fof(f43,plain,
~ p101(sK3),
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_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 02:21:41 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (17269)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (17282)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)
% 0.21/0.51 % (17290)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.51 % (17274)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)
% 0.21/0.51 % (17290)First to succeed.
% 0.21/0.51 % (17279)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51 % (17278)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.51 % (17289)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)
% 0.21/0.51 % (17282)Also succeeded, but the first one will report.
% 0.21/0.52 % (17290)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (17290)------------------------------
% 0.21/0.52 % (17290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (17290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (17290)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (17290)Memory used [KB]: 5500
% 0.21/0.52 % (17290)Time elapsed: 0.110 s
% 0.21/0.52 % (17290)Instructions burned: 3 (million)
% 0.21/0.52 % (17290)------------------------------
% 0.21/0.52 % (17290)------------------------------
% 0.21/0.52 % (17262)Success in time 0.161 s
%------------------------------------------------------------------------------