TSTP Solution File: LCL650+1.001 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL650+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 : n027.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 17:49:06 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 14
% Syntax : Number of formulae : 69 ( 10 unt; 0 def)
% Number of atoms : 663 ( 0 equ)
% Maximal formula atoms : 43 ( 9 avg)
% Number of connectives : 1070 ( 476 ~; 384 |; 198 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-1 aty)
% Number of variables : 362 ( 262 !; 100 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f183,plain,
$false,
inference(subsumption_resolution,[],[f182,f47]) ).
fof(f47,plain,
sP0(sK9),
inference(resolution,[],[f44,f34]) ).
fof(f34,plain,
r1(sK2,sK9),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
( ! [X1] :
( ~ r1(sK2,X1)
| ( ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| ( ( p1(X4)
| p3(X4) )
& ( ~ p1(X4)
| ~ p3(X4) ) ) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& sP0(X1)
& r1(X1,sK3(X1)) ) )
& r1(sK4,sK5)
& r1(sK5,sK6)
& r1(sK6,sK7)
& r1(sK2,sK4)
& r1(sK2,sK8)
& r1(sK9,sK10)
& r1(sK11,sK12)
& r1(sK10,sK11)
& r1(sK2,sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f15,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16]) ).
fof(f16,plain,
( ? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| ( ( p1(X4)
| p3(X4) )
& ( ~ p1(X4)
| ~ p3(X4) ) ) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& sP0(X1)
& ? [X5] : r1(X1,X5) ) )
& ? [X6] :
( ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ? [X9] : r1(X8,X9) ) )
& r1(X0,X6) )
& ? [X10] : r1(X0,X10)
& ? [X11] :
( ? [X12] :
( r1(X11,X12)
& ? [X13] :
( ? [X14] : r1(X13,X14)
& r1(X12,X13) ) )
& r1(X0,X11) ) )
=> ( ! [X1] :
( ~ r1(sK2,X1)
| ( ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| ( ( p1(X4)
| p3(X4) )
& ( ~ p1(X4)
| ~ p3(X4) ) ) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& sP0(X1)
& ? [X5] : r1(X1,X5) ) )
& ? [X6] :
( ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ? [X9] : r1(X8,X9) ) )
& r1(sK2,X6) )
& ? [X10] : r1(sK2,X10)
& ? [X11] :
( ? [X12] :
( r1(X11,X12)
& ? [X13] :
( ? [X14] : r1(X13,X14)
& r1(X12,X13) ) )
& r1(sK2,X11) ) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X1] :
( ? [X5] : r1(X1,X5)
=> r1(X1,sK3(X1)) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ? [X6] :
( ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ? [X9] : r1(X8,X9) ) )
& r1(sK2,X6) )
=> ( ? [X7] :
( r1(sK4,X7)
& ? [X8] :
( r1(X7,X8)
& ? [X9] : r1(X8,X9) ) )
& r1(sK2,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ? [X7] :
( r1(sK4,X7)
& ? [X8] :
( r1(X7,X8)
& ? [X9] : r1(X8,X9) ) )
=> ( r1(sK4,sK5)
& ? [X8] :
( r1(sK5,X8)
& ? [X9] : r1(X8,X9) ) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
( ? [X8] :
( r1(sK5,X8)
& ? [X9] : r1(X8,X9) )
=> ( r1(sK5,sK6)
& ? [X9] : r1(sK6,X9) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
( ? [X9] : r1(sK6,X9)
=> r1(sK6,sK7) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
( ? [X10] : r1(sK2,X10)
=> r1(sK2,sK8) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( ? [X11] :
( ? [X12] :
( r1(X11,X12)
& ? [X13] :
( ? [X14] : r1(X13,X14)
& r1(X12,X13) ) )
& r1(sK2,X11) )
=> ( ? [X12] :
( r1(sK9,X12)
& ? [X13] :
( ? [X14] : r1(X13,X14)
& r1(X12,X13) ) )
& r1(sK2,sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
( ? [X12] :
( r1(sK9,X12)
& ? [X13] :
( ? [X14] : r1(X13,X14)
& r1(X12,X13) ) )
=> ( r1(sK9,sK10)
& ? [X13] :
( ? [X14] : r1(X13,X14)
& r1(sK10,X13) ) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
( ? [X13] :
( ? [X14] : r1(X13,X14)
& r1(sK10,X13) )
=> ( ? [X14] : r1(sK11,X14)
& r1(sK10,sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
( ? [X14] : r1(sK11,X14)
=> r1(sK11,sK12) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| ( ( p1(X4)
| p3(X4) )
& ( ~ p1(X4)
| ~ p3(X4) ) ) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& sP0(X1)
& ? [X5] : r1(X1,X5) ) )
& ? [X6] :
( ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ? [X9] : r1(X8,X9) ) )
& r1(X0,X6) )
& ? [X10] : r1(X0,X10)
& ? [X11] :
( ? [X12] :
( r1(X11,X12)
& ? [X13] :
( ? [X14] : r1(X13,X14)
& r1(X12,X13) ) )
& r1(X0,X11) ) ),
inference(rectify,[],[f10]) ).
fof(f10,plain,
? [X0] :
( ! [X5] :
( ~ r1(X0,X5)
| ( ! [X13] :
( ! [X14] :
( ! [X15] :
( ~ r1(X14,X15)
| ( ( p1(X15)
| p3(X15) )
& ( ~ p1(X15)
| ~ p3(X15) ) ) )
| ~ r1(X13,X14) )
| ~ r1(X5,X13) )
& sP0(X5)
& ? [X6] : r1(X5,X6) ) )
& ? [X1] :
( ? [X2] :
( r1(X1,X2)
& ? [X3] :
( r1(X2,X3)
& ? [X4] : r1(X3,X4) ) )
& r1(X0,X1) )
& ? [X20] : r1(X0,X20)
& ? [X16] :
( ? [X17] :
( r1(X16,X17)
& ? [X18] :
( ? [X19] : r1(X18,X19)
& r1(X17,X18) ) )
& r1(X0,X16) ) ),
inference(definition_folding,[],[f8,f9]) ).
fof(f9,plain,
! [X5] :
( ! [X7] :
( ~ r1(X5,X7)
| ( ! [X10] :
( ! [X11] :
( ~ r1(X10,X11)
| ( ( p2(X11)
| p1(X11) )
& ( ~ p2(X11)
| ~ p1(X11) ) ) )
| ~ r1(X7,X10) )
& ? [X12] :
( r1(X7,X12)
& ~ p3(X12) )
& ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ( ( ~ p2(X9)
| ~ p3(X9) )
& ( p2(X9)
| p3(X9) ) )
| ~ r1(X8,X9) ) ) ) )
| ~ sP0(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,plain,
? [X0] :
( ! [X5] :
( ~ r1(X0,X5)
| ( ! [X13] :
( ! [X14] :
( ! [X15] :
( ~ r1(X14,X15)
| ( ( p1(X15)
| p3(X15) )
& ( ~ p1(X15)
| ~ p3(X15) ) ) )
| ~ r1(X13,X14) )
| ~ r1(X5,X13) )
& ! [X7] :
( ~ r1(X5,X7)
| ( ! [X10] :
( ! [X11] :
( ~ r1(X10,X11)
| ( ( p2(X11)
| p1(X11) )
& ( ~ p2(X11)
| ~ p1(X11) ) ) )
| ~ r1(X7,X10) )
& ? [X12] :
( r1(X7,X12)
& ~ p3(X12) )
& ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ( ( ~ p2(X9)
| ~ p3(X9) )
& ( p2(X9)
| p3(X9) ) )
| ~ r1(X8,X9) ) ) ) )
& ? [X6] : r1(X5,X6) ) )
& ? [X1] :
( ? [X2] :
( r1(X1,X2)
& ? [X3] :
( r1(X2,X3)
& ? [X4] : r1(X3,X4) ) )
& r1(X0,X1) )
& ? [X20] : r1(X0,X20)
& ? [X16] :
( ? [X17] :
( r1(X16,X17)
& ? [X18] :
( ? [X19] : r1(X18,X19)
& r1(X17,X18) ) )
& r1(X0,X16) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
? [X0] :
~ ( ! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] : ~ r1(X3,X4) ) )
| ~ r1(X0,X1) )
| ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] : ~ r1(X18,X19)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) )
| ! [X20] : ~ r1(X0,X20)
| ~ ! [X5] :
( ~ ( ~ ! [X13] :
( ~ r1(X5,X13)
| ! [X14] :
( ! [X15] :
( ~ r1(X14,X15)
| ~ ( ( p1(X15)
& p3(X15) )
| ( ~ p1(X15)
& ~ p3(X15) ) ) )
| ~ r1(X13,X14) ) )
| ! [X6] : ~ r1(X5,X6)
| ~ ! [X7] :
( ~ ( ~ ! [X8] :
( ! [X9] :
( ~ ( ( ~ p3(X9)
& ~ p2(X9) )
| ( p2(X9)
& p3(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ ! [X10] :
( ~ r1(X7,X10)
| ! [X11] :
( ~ ( ( p1(X11)
& p2(X11) )
| ( ~ p2(X11)
& ~ p1(X11) ) )
| ~ r1(X10,X11) ) )
| ! [X12] :
( p3(X12)
| ~ r1(X7,X12) ) )
| ~ r1(X5,X7) ) )
| ~ r1(X0,X5) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ( p3(X4)
& p4(X4)
& p2(X4)
& p1(X4) )
| ~ r1(X3,X4) ) ) )
| ~ r1(X0,X1) )
| ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] : ~ r1(X18,X19)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) )
| ! [X20] : ~ r1(X0,X20)
| ~ ! [X5] :
( ~ ( ~ ! [X13] :
( ~ r1(X5,X13)
| ! [X14] :
( ! [X15] :
( ~ r1(X14,X15)
| ~ ( ( p1(X15)
& p3(X15) )
| ( ~ p1(X15)
& ~ p3(X15) ) ) )
| ~ r1(X13,X14) ) )
| ! [X6] :
( ~ r1(X5,X6)
| p4(X6) )
| ~ ! [X7] :
( ~ ( ~ ! [X8] :
( ! [X9] :
( ~ ( ( ~ p3(X9)
& ~ p2(X9) )
| ( p2(X9)
& p3(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ ! [X10] :
( ~ r1(X7,X10)
| ! [X11] :
( ~ ( ( p1(X11)
& p2(X11) )
| ( ~ p2(X11)
& ~ p1(X11) ) )
| ~ r1(X10,X11) ) )
| ! [X12] :
( p3(X12)
| ~ r1(X7,X12) ) )
| ~ r1(X5,X7) ) )
| ~ r1(X0,X5) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ( p3(X4)
& p4(X4)
& p2(X4)
& p1(X4) )
| ~ r1(X3,X4) ) ) )
| ~ r1(X0,X1) )
| ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ( ~ p2(X19)
& ~ p6(X19)
& ~ p8(X19)
& ~ p4(X19) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) )
| ! [X20] : ~ r1(X0,X20)
| ~ ! [X5] :
( ~ ( ~ ! [X13] :
( ~ r1(X5,X13)
| ! [X14] :
( ! [X15] :
( ~ r1(X14,X15)
| ~ ( ( p1(X15)
& p3(X15) )
| ( ~ p1(X15)
& ~ p3(X15) ) ) )
| ~ r1(X13,X14) ) )
| ! [X6] :
( ~ r1(X5,X6)
| p4(X6) )
| ~ ! [X7] :
( ~ ( ~ ! [X8] :
( ! [X9] :
( ~ ( ( ~ p3(X9)
& ~ p2(X9) )
| ( p2(X9)
& p3(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ ! [X10] :
( ~ r1(X7,X10)
| ! [X11] :
( ~ ( ( p1(X11)
& p2(X11) )
| ( ~ p2(X11)
& ~ p1(X11) ) )
| ~ r1(X10,X11) ) )
| ! [X12] :
( p3(X12)
| ~ r1(X7,X12) ) )
| ~ r1(X5,X7) ) )
| ~ r1(X0,X5) ) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ( p3(X4)
& p4(X4)
& p2(X4)
& p1(X4) )
| ~ r1(X3,X4) ) ) )
| ~ r1(X0,X1) )
| ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ( ~ p2(X19)
& ~ p6(X19)
& ~ p8(X19)
& ~ p4(X19) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) )
| ! [X20] :
( ~ r1(X0,X20)
| p5(X20) )
| ~ ! [X5] :
( ~ ( ~ ! [X13] :
( ~ r1(X5,X13)
| ! [X14] :
( ! [X15] :
( ~ r1(X14,X15)
| ~ ( ( p1(X15)
& p3(X15) )
| ( ~ p1(X15)
& ~ p3(X15) ) ) )
| ~ r1(X13,X14) ) )
| ! [X6] :
( ~ r1(X5,X6)
| p4(X6) )
| ~ ! [X7] :
( ~ ( ~ ! [X8] :
( ! [X9] :
( ~ ( ( ~ p3(X9)
& ~ p2(X9) )
| ( p2(X9)
& p3(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ ! [X10] :
( ~ r1(X7,X10)
| ! [X11] :
( ~ ( ( p1(X11)
& p2(X11) )
| ( ~ p2(X11)
& ~ p1(X11) ) )
| ~ r1(X10,X11) ) )
| ! [X12] :
( p3(X12)
| ~ r1(X7,X12) ) )
| ~ r1(X5,X7) ) )
| ~ r1(X0,X5) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ( p3(X4)
& p4(X4)
& p2(X4)
& p1(X4) )
| ~ r1(X3,X4) ) ) )
| ~ r1(X0,X1) )
| ~ ! [X5] :
( ~ ( ! [X6] :
( ~ r1(X5,X6)
| p4(X6) )
| ~ ! [X7] :
( ~ ( ~ ! [X8] :
( ! [X9] :
( ~ ( ( ~ p3(X9)
& ~ p2(X9) )
| ( p2(X9)
& p3(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ ! [X10] :
( ~ r1(X7,X10)
| ~ ~ ! [X11] :
( ~ ( ( p1(X11)
& p2(X11) )
| ( ~ p2(X11)
& ~ p1(X11) ) )
| ~ r1(X10,X11) ) )
| ! [X12] :
( p3(X12)
| ~ r1(X7,X12) ) )
| ~ r1(X5,X7) )
| ~ ! [X13] :
( ~ r1(X5,X13)
| ! [X14] :
( ! [X15] :
( ~ r1(X14,X15)
| ~ ( ( p1(X15)
& p3(X15) )
| ( ~ p1(X15)
& ~ p3(X15) ) ) )
| ~ r1(X13,X14) ) ) )
| ~ r1(X0,X5) )
| ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ( ~ p2(X19)
& ~ p6(X19)
& ~ p8(X19)
& ~ p4(X19) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) )
| ! [X20] :
( ~ r1(X0,X20)
| p5(X20) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( ( p3(X0)
& p2(X0)
& p4(X0)
& p1(X0) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( ~ r1(X1,X0)
| p4(X0) )
| ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ! [X0] :
( ~ ( ( ~ p2(X0)
& ~ p3(X0) )
| ( p2(X0)
& p3(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p1(X0)
& p2(X0) )
| ( ~ p2(X0)
& ~ p1(X0) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p3(X0)
& p1(X0) )
| ( ~ p3(X0)
& ~ p1(X0) ) ) ) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ( ~ p8(X0)
& ~ p4(X0)
& ~ p2(X0)
& ~ p6(X0) )
| ~ r1(X1,X0) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p5(X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( ( p3(X0)
& p2(X0)
& p4(X0)
& p1(X0) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( ~ r1(X1,X0)
| p4(X0) )
| ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ! [X0] :
( ~ ( ( ~ p2(X0)
& ~ p3(X0) )
| ( p2(X0)
& p3(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p1(X0)
& p2(X0) )
| ( ~ p2(X0)
& ~ p1(X0) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p3(X0)
& p1(X0) )
| ( ~ p3(X0)
& ~ p1(X0) ) ) ) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ( ~ p8(X0)
& ~ p4(X0)
& ~ p2(X0)
& ~ p6(X0) )
| ~ r1(X1,X0) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p5(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f44,plain,
! [X1] :
( ~ r1(sK2,X1)
| sP0(X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f182,plain,
~ sP0(sK9),
inference(resolution,[],[f181,f37]) ).
fof(f37,plain,
r1(sK9,sK10),
inference(cnf_transformation,[],[f27]) ).
fof(f181,plain,
! [X0] :
( ~ r1(X0,sK10)
| ~ sP0(X0) ),
inference(resolution,[],[f180,f35]) ).
fof(f35,plain,
r1(sK10,sK11),
inference(cnf_transformation,[],[f27]) ).
fof(f180,plain,
! [X0,X1] :
( ~ r1(X1,sK11)
| ~ sP0(X0)
| ~ r1(X0,X1) ),
inference(resolution,[],[f179,f36]) ).
fof(f36,plain,
r1(sK11,sK12),
inference(cnf_transformation,[],[f27]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ r1(X0,sK12)
| ~ sP0(X1)
| ~ r1(X1,X2)
| ~ r1(X2,X0) ),
inference(subsumption_resolution,[],[f178,f170]) ).
fof(f170,plain,
p2(sK12),
inference(subsumption_resolution,[],[f169,f34]) ).
fof(f169,plain,
( ~ r1(sK2,sK9)
| p2(sK12) ),
inference(resolution,[],[f168,f37]) ).
fof(f168,plain,
! [X0] :
( ~ r1(X0,sK10)
| ~ r1(sK2,X0)
| p2(sK12) ),
inference(resolution,[],[f167,f35]) ).
fof(f167,plain,
! [X0,X1] :
( ~ r1(X1,sK11)
| p2(sK12)
| ~ r1(sK2,X0)
| ~ r1(X0,X1) ),
inference(resolution,[],[f142,f36]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ r1(X0,sK12)
| p2(sK12)
| ~ r1(sK2,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X0) ),
inference(subsumption_resolution,[],[f141,f120]) ).
fof(f120,plain,
( p3(sK12)
| p2(sK12) ),
inference(resolution,[],[f117,f36]) ).
fof(f117,plain,
! [X0] :
( ~ r1(sK11,X0)
| p3(X0)
| p2(X0) ),
inference(resolution,[],[f94,f35]) ).
fof(f94,plain,
! [X0,X1] :
( ~ r1(sK10,X0)
| ~ r1(X0,X1)
| p3(X1)
| p2(X1) ),
inference(resolution,[],[f66,f37]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ r1(sK9,X0)
| ~ r1(X0,X2)
| p3(X1)
| p2(X1)
| ~ r1(X2,X1) ),
inference(resolution,[],[f28,f47]) ).
fof(f28,plain,
! [X0,X1,X6,X5] :
( ~ sP0(X0)
| ~ r1(X0,X1)
| p2(X6)
| ~ r1(X5,X6)
| p3(X6)
| ~ r1(X1,X5) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ( ( p2(X3)
| p1(X3) )
& ( ~ p2(X3)
| ~ p1(X3) ) ) )
| ~ r1(X1,X2) )
& r1(X1,sK1(X1))
& ~ p3(sK1(X1))
& ! [X5] :
( ~ r1(X1,X5)
| ! [X6] :
( ( ( ~ p2(X6)
| ~ p3(X6) )
& ( p2(X6)
| p3(X6) ) )
| ~ r1(X5,X6) ) ) ) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f12,f13]) ).
fof(f13,plain,
! [X1] :
( ? [X4] :
( r1(X1,X4)
& ~ p3(X4) )
=> ( r1(X1,sK1(X1))
& ~ p3(sK1(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ( ( p2(X3)
| p1(X3) )
& ( ~ p2(X3)
| ~ p1(X3) ) ) )
| ~ r1(X1,X2) )
& ? [X4] :
( r1(X1,X4)
& ~ p3(X4) )
& ! [X5] :
( ~ r1(X1,X5)
| ! [X6] :
( ( ( ~ p2(X6)
| ~ p3(X6) )
& ( p2(X6)
| p3(X6) ) )
| ~ r1(X5,X6) ) ) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
! [X5] :
( ! [X7] :
( ~ r1(X5,X7)
| ( ! [X10] :
( ! [X11] :
( ~ r1(X10,X11)
| ( ( p2(X11)
| p1(X11) )
& ( ~ p2(X11)
| ~ p1(X11) ) ) )
| ~ r1(X7,X10) )
& ? [X12] :
( r1(X7,X12)
& ~ p3(X12) )
& ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ( ( ~ p2(X9)
| ~ p3(X9) )
& ( p2(X9)
| p3(X9) ) )
| ~ r1(X8,X9) ) ) ) )
| ~ sP0(X5) ),
inference(nnf_transformation,[],[f9]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ r1(sK2,X1)
| ~ r1(X0,sK12)
| ~ p3(sK12)
| ~ r1(X2,X0)
| ~ r1(X1,X2)
| p2(sK12) ),
inference(resolution,[],[f139,f45]) ).
fof(f45,plain,
! [X2,X3,X1,X4] :
( ~ p1(X4)
| ~ r1(X3,X4)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ p3(X4)
| ~ r1(sK2,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f139,plain,
( p1(sK12)
| p2(sK12) ),
inference(resolution,[],[f133,f36]) ).
fof(f133,plain,
! [X0] :
( ~ r1(sK11,X0)
| p2(X0)
| p1(X0) ),
inference(resolution,[],[f107,f35]) ).
fof(f107,plain,
! [X0,X1] :
( ~ r1(sK10,X0)
| p2(X1)
| p1(X1)
| ~ r1(X0,X1) ),
inference(resolution,[],[f73,f37]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ r1(sK9,X2)
| ~ r1(X0,X1)
| ~ r1(X2,X0)
| p2(X1)
| p1(X1) ),
inference(resolution,[],[f33,f47]) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0)
| ~ r1(X2,X3)
| p1(X3)
| ~ r1(X0,X1)
| p2(X3)
| ~ r1(X1,X2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ r1(X2,X0)
| ~ r1(X1,X2)
| ~ r1(X0,sK12)
| ~ p2(sK12)
| ~ sP0(X1) ),
inference(resolution,[],[f177,f29]) ).
fof(f29,plain,
! [X0,X1,X6,X5] :
( ~ p3(X6)
| ~ r1(X5,X6)
| ~ r1(X0,X1)
| ~ p2(X6)
| ~ sP0(X0)
| ~ r1(X1,X5) ),
inference(cnf_transformation,[],[f14]) ).
fof(f177,plain,
p3(sK12),
inference(resolution,[],[f175,f60]) ).
fof(f60,plain,
( p1(sK12)
| p3(sK12) ),
inference(resolution,[],[f58,f36]) ).
fof(f58,plain,
! [X0] :
( ~ r1(sK11,X0)
| p1(X0)
| p3(X0) ),
inference(resolution,[],[f55,f35]) ).
fof(f55,plain,
! [X0,X1] :
( ~ r1(sK10,X1)
| ~ r1(X1,X0)
| p1(X0)
| p3(X0) ),
inference(resolution,[],[f51,f37]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ r1(sK9,X1)
| p1(X0)
| ~ r1(X1,X2)
| ~ r1(X2,X0)
| p3(X0) ),
inference(resolution,[],[f46,f34]) ).
fof(f46,plain,
! [X2,X3,X1,X4] :
( ~ r1(sK2,X1)
| p1(X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X3,X4)
| p3(X4) ),
inference(cnf_transformation,[],[f27]) ).
fof(f175,plain,
~ p1(sK12),
inference(subsumption_resolution,[],[f174,f47]) ).
fof(f174,plain,
( ~ sP0(sK9)
| ~ p1(sK12) ),
inference(resolution,[],[f173,f37]) ).
fof(f173,plain,
! [X0] :
( ~ r1(X0,sK10)
| ~ p1(sK12)
| ~ sP0(X0) ),
inference(resolution,[],[f172,f35]) ).
fof(f172,plain,
! [X0,X1] :
( ~ r1(X1,sK11)
| ~ p1(sK12)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(resolution,[],[f171,f36]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ r1(X1,sK12)
| ~ sP0(X0)
| ~ r1(X0,X2)
| ~ p1(sK12)
| ~ r1(X2,X1) ),
inference(resolution,[],[f170,f32]) ).
fof(f32,plain,
! [X2,X3,X0,X1] :
( ~ p2(X3)
| ~ p1(X3)
| ~ sP0(X0)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : LCL650+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 02:32:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 % (11919)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)
% 0.19/0.47 % (11927)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)
% 0.19/0.48 % (11944)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)
% 0.19/0.48 % (11935)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)
% 0.19/0.49 % (11944)First to succeed.
% 0.19/0.49 % (11917)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)
% 0.19/0.50 % (11943)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)
% 0.19/0.50 % (11921)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)
% 0.19/0.50 % (11918)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)
% 0.19/0.50 % (11942)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51 % (11925)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)
% 0.19/0.51 % (11917)Refutation not found, incomplete strategy% (11917)------------------------------
% 0.19/0.51 % (11917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (11917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (11917)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (11917)Memory used [KB]: 5500
% 0.19/0.51 % (11917)Time elapsed: 0.098 s
% 0.19/0.51 % (11917)Instructions burned: 3 (million)
% 0.19/0.51 % (11917)------------------------------
% 0.19/0.51 % (11917)------------------------------
% 0.19/0.51 % (11926)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (11945)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (11939)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)
% 0.19/0.52 % (11944)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 % (11944)------------------------------
% 0.19/0.52 % (11944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (11944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (11944)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (11944)Memory used [KB]: 1023
% 0.19/0.52 % (11944)Time elapsed: 0.105 s
% 0.19/0.52 % (11944)Instructions burned: 8 (million)
% 0.19/0.52 % (11944)------------------------------
% 0.19/0.52 % (11944)------------------------------
% 0.19/0.52 % (11913)Success in time 0.176 s
%------------------------------------------------------------------------------