TSTP Solution File: LCL638+1.001 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL638+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 : n001.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 17:43:26 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of formulae : 45 ( 4 unt; 0 def)
% Number of atoms : 452 ( 0 equ)
% Maximal formula atoms : 60 ( 10 avg)
% Number of connectives : 807 ( 400 ~; 291 |; 106 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-1 aty)
% Number of variables : 267 ( 216 !; 51 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f195,plain,
$false,
inference(avatar_sat_refutation,[],[f125,f128,f194]) ).
fof(f194,plain,
~ spl8_16,
inference(avatar_contradiction_clause,[],[f193]) ).
fof(f193,plain,
( $false
| ~ spl8_16 ),
inference(subsumption_resolution,[],[f192,f27]) ).
fof(f27,plain,
~ p1(sK3),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( ! [X1] :
( ~ r1(sK0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ( r1(X2,sK1(X2))
& ~ p1(sK1(X2)) ) )
| p1(X1) )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(sK0,X4)
| ( ~ p1(sK2(X4))
& r1(X4,sK2(X4)) ) )
& ~ p1(sK3)
& ! [X9] :
( ~ r1(sK3,X9)
| p1(X9) )
& r1(sK0,sK3)
& ! [X10] :
( ~ r1(sK0,X10)
| ( ! [X12] :
( ~ r1(sK4(X10),X12)
| ~ p1(X12) )
& r1(X10,sK4(X10)) )
| ! [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| ( p1(sK5(X14))
& r1(X14,sK5(X14)) ) )
| ~ r1(X10,X13) ) )
& ! [X16] :
( r1(X16,sK6(X16))
| ~ r1(sK0,X16) )
& ! [X18] :
( ~ r1(sK0,X18)
| ! [X19] :
( ( p1(sK7(X19))
& r1(X19,sK7(X19)) )
| ~ r1(X18,X19) )
| ~ p1(X18) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f8,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f9,plain,
( ? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ? [X3] :
( r1(X2,X3)
& ~ p1(X3) ) )
| p1(X1) )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X0,X4)
| ? [X7] :
( ~ p1(X7)
& r1(X4,X7) ) )
& ? [X8] :
( ~ p1(X8)
& ! [X9] :
( ~ r1(X8,X9)
| p1(X9) )
& r1(X0,X8) )
& ! [X10] :
( ~ r1(X0,X10)
| ? [X11] :
( ! [X12] :
( ~ r1(X11,X12)
| ~ p1(X12) )
& r1(X10,X11) )
| ! [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| ? [X15] :
( p1(X15)
& r1(X14,X15) ) )
| ~ r1(X10,X13) ) )
& ! [X16] :
( ? [X17] : r1(X16,X17)
| ~ r1(X0,X16) )
& ! [X18] :
( ~ r1(X0,X18)
| ! [X19] :
( ? [X20] :
( p1(X20)
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ p1(X18) ) )
=> ( ! [X1] :
( ~ r1(sK0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ? [X3] :
( r1(X2,X3)
& ~ p1(X3) ) )
| p1(X1) )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(sK0,X4)
| ? [X7] :
( ~ p1(X7)
& r1(X4,X7) ) )
& ? [X8] :
( ~ p1(X8)
& ! [X9] :
( ~ r1(X8,X9)
| p1(X9) )
& r1(sK0,X8) )
& ! [X10] :
( ~ r1(sK0,X10)
| ? [X11] :
( ! [X12] :
( ~ r1(X11,X12)
| ~ p1(X12) )
& r1(X10,X11) )
| ! [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| ? [X15] :
( p1(X15)
& r1(X14,X15) ) )
| ~ r1(X10,X13) ) )
& ! [X16] :
( ? [X17] : r1(X16,X17)
| ~ r1(sK0,X16) )
& ! [X18] :
( ~ r1(sK0,X18)
| ! [X19] :
( ? [X20] :
( p1(X20)
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ p1(X18) ) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
! [X2] :
( ? [X3] :
( r1(X2,X3)
& ~ p1(X3) )
=> ( r1(X2,sK1(X2))
& ~ p1(sK1(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
! [X4] :
( ? [X7] :
( ~ p1(X7)
& r1(X4,X7) )
=> ( ~ p1(sK2(X4))
& r1(X4,sK2(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ? [X8] :
( ~ p1(X8)
& ! [X9] :
( ~ r1(X8,X9)
| p1(X9) )
& r1(sK0,X8) )
=> ( ~ p1(sK3)
& ! [X9] :
( ~ r1(sK3,X9)
| p1(X9) )
& r1(sK0,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X10] :
( ? [X11] :
( ! [X12] :
( ~ r1(X11,X12)
| ~ p1(X12) )
& r1(X10,X11) )
=> ( ! [X12] :
( ~ r1(sK4(X10),X12)
| ~ p1(X12) )
& r1(X10,sK4(X10)) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X14] :
( ? [X15] :
( p1(X15)
& r1(X14,X15) )
=> ( p1(sK5(X14))
& r1(X14,sK5(X14)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X16] :
( ? [X17] : r1(X16,X17)
=> r1(X16,sK6(X16)) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X19] :
( ? [X20] :
( p1(X20)
& r1(X19,X20) )
=> ( p1(sK7(X19))
& r1(X19,sK7(X19)) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ? [X3] :
( r1(X2,X3)
& ~ p1(X3) ) )
| p1(X1) )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X0,X4)
| ? [X7] :
( ~ p1(X7)
& r1(X4,X7) ) )
& ? [X8] :
( ~ p1(X8)
& ! [X9] :
( ~ r1(X8,X9)
| p1(X9) )
& r1(X0,X8) )
& ! [X10] :
( ~ r1(X0,X10)
| ? [X11] :
( ! [X12] :
( ~ r1(X11,X12)
| ~ p1(X12) )
& r1(X10,X11) )
| ! [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| ? [X15] :
( p1(X15)
& r1(X14,X15) ) )
| ~ r1(X10,X13) ) )
& ! [X16] :
( ? [X17] : r1(X16,X17)
| ~ r1(X0,X16) )
& ! [X18] :
( ~ r1(X0,X18)
| ! [X19] :
( ? [X20] :
( p1(X20)
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ p1(X18) ) ),
inference(rectify,[],[f7]) ).
fof(f7,plain,
? [X0] :
( ! [X16] :
( ~ r1(X0,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ? [X18] :
( r1(X17,X18)
& ~ p1(X18) ) )
| p1(X16) )
& ! [X12] :
( ! [X13] :
( ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X0,X12)
| ? [X15] :
( ~ p1(X15)
& r1(X12,X15) ) )
& ? [X19] :
( ~ p1(X19)
& ! [X20] :
( ~ r1(X19,X20)
| p1(X20) )
& r1(X0,X19) )
& ! [X4] :
( ~ r1(X0,X4)
| ? [X5] :
( ! [X6] :
( ~ r1(X5,X6)
| ~ p1(X6) )
& r1(X4,X5) )
| ! [X7] :
( ! [X8] :
( ~ r1(X7,X8)
| ? [X9] :
( p1(X9)
& r1(X8,X9) ) )
| ~ r1(X4,X7) ) )
& ! [X10] :
( ? [X11] : r1(X10,X11)
| ~ r1(X0,X10) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ? [X3] :
( p1(X3)
& r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ p1(X1) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X0] :
( ? [X19] :
( ~ p1(X19)
& ! [X20] :
( ~ r1(X19,X20)
| p1(X20) )
& r1(X0,X19) )
& ! [X12] :
( ? [X15] :
( ~ p1(X15)
& r1(X12,X15) )
| ! [X13] :
( ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X0,X12) )
& ! [X16] :
( ! [X17] :
( ~ r1(X16,X17)
| ? [X18] :
( r1(X17,X18)
& ~ p1(X18) ) )
| p1(X16)
| ~ r1(X0,X16) )
& ! [X1] :
( ~ p1(X1)
| ! [X2] :
( ? [X3] :
( p1(X3)
& r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X10] :
( ? [X11] : r1(X10,X11)
| ~ r1(X0,X10) )
& ! [X4] :
( ~ r1(X0,X4)
| ! [X7] :
( ! [X8] :
( ~ r1(X7,X8)
| ? [X9] :
( p1(X9)
& r1(X8,X9) ) )
| ~ r1(X4,X7) )
| ? [X5] :
( ! [X6] :
( ~ r1(X5,X6)
| ~ p1(X6) )
& r1(X4,X5) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ! [X19] :
( ~ r1(X0,X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| p1(X20) )
| p1(X19) )
| ~ ! [X12] :
( ~ ( ! [X15] :
( ~ r1(X12,X15)
| p1(X15) )
& ~ ! [X13] :
( ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) ) )
| ~ r1(X0,X12) )
| ~ ! [X16] :
( ~ ( ~ ! [X17] :
( ~ ! [X18] :
( p1(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& ~ p1(X16) )
| ~ r1(X0,X16) )
| ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X2] :
( ~ ! [X3] :
( ~ p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) )
| ~ ! [X10] :
( ~ r1(X0,X10)
| ~ ! [X11] : ~ r1(X10,X11) )
| ~ ! [X4] :
( ~ r1(X0,X4)
| ~ ( ~ ! [X7] :
( ! [X8] :
( ~ ! [X9] :
( ~ r1(X8,X9)
| ~ p1(X9) )
| ~ r1(X7,X8) )
| ~ r1(X4,X7) )
& ! [X5] :
( ~ r1(X4,X5)
| ~ ! [X6] :
( ~ r1(X5,X6)
| ~ p1(X6) ) ) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ! [X19] :
( ~ r1(X0,X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| p1(X20) )
| p1(X19) )
| ~ ! [X12] :
( ~ ( ! [X15] :
( ~ r1(X12,X15)
| p1(X15) )
& ~ ! [X13] :
( ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) ) )
| ~ r1(X0,X12) )
| ~ ! [X16] :
( ~ ( ~ ! [X17] :
( ~ ! [X18] :
( p1(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& ~ p1(X16) )
| ~ r1(X0,X16) )
| ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X2] :
( ~ ! [X3] :
( ~ p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) )
| ~ ! [X10] :
( ~ r1(X0,X10)
| ~ ! [X11] : ~ r1(X10,X11) )
| ~ ! [X4] :
( ~ r1(X0,X4)
| ~ ( ~ ! [X7] :
( ! [X8] :
( ~ ! [X9] :
( ~ r1(X8,X9)
| ~ p1(X9) )
| ~ r1(X7,X8) )
| ~ r1(X4,X7) )
& ! [X5] :
( ~ r1(X4,X5)
| ~ ! [X6] :
( ~ r1(X5,X6)
| ~ p1(X6) ) ) ) ) ),
inference(true_and_false_elimination,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X2] :
( ~ ! [X3] :
( ~ p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) )
| ~ ! [X4] :
( ~ r1(X0,X4)
| ~ ( ~ ! [X7] :
( ! [X8] :
( ~ ! [X9] :
( ~ r1(X8,X9)
| ~ p1(X9) )
| ~ r1(X7,X8) )
| ~ r1(X4,X7) )
& ! [X5] :
( ~ r1(X4,X5)
| ~ ! [X6] :
( ~ r1(X5,X6)
| ~ p1(X6) ) ) ) )
| ~ ! [X10] :
( ~ r1(X0,X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| $false ) )
| ~ ! [X12] :
( ~ ( ! [X15] :
( ~ r1(X12,X15)
| p1(X15) )
& ~ ! [X13] :
( ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) ) )
| ~ r1(X0,X12) )
| ~ ! [X16] :
( ~ ( ~ ! [X17] :
( ~ ! [X18] :
( p1(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& ~ p1(X16) )
| ~ r1(X0,X16) )
| ! [X19] :
( ~ r1(X0,X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| p1(X20) )
| p1(X19) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1)
| p1(X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1)
| p1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f192,plain,
( p1(sK3)
| ~ spl8_16 ),
inference(subsumption_resolution,[],[f191,f25]) ).
fof(f25,plain,
r1(sK0,sK3),
inference(cnf_transformation,[],[f17]) ).
fof(f191,plain,
( ~ r1(sK0,sK3)
| p1(sK3)
| ~ spl8_16 ),
inference(duplicate_literal_removal,[],[f190]) ).
fof(f190,plain,
( ~ r1(sK0,sK3)
| ~ r1(sK0,sK3)
| p1(sK3)
| ~ spl8_16 ),
inference(resolution,[],[f179,f20]) ).
fof(f20,plain,
! [X16] :
( r1(X16,sK6(X16))
| ~ r1(sK0,X16) ),
inference(cnf_transformation,[],[f17]) ).
fof(f179,plain,
( ! [X0] :
( ~ r1(X0,sK6(sK3))
| ~ r1(sK0,X0)
| p1(X0) )
| ~ spl8_16 ),
inference(subsumption_resolution,[],[f161,f30]) ).
fof(f30,plain,
! [X2,X1] :
( ~ p1(sK1(X2))
| p1(X1)
| ~ r1(X1,X2)
| ~ r1(sK0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f161,plain,
( ! [X0] :
( ~ r1(X0,sK6(sK3))
| p1(X0)
| ~ r1(sK0,X0)
| p1(sK1(sK6(sK3))) )
| ~ spl8_16 ),
inference(resolution,[],[f141,f31]) ).
fof(f31,plain,
! [X2,X1] :
( r1(X2,sK1(X2))
| ~ r1(sK0,X1)
| p1(X1)
| ~ r1(X1,X2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f141,plain,
( ! [X5] :
( ~ r1(sK6(sK3),X5)
| p1(X5) )
| ~ spl8_16 ),
inference(subsumption_resolution,[],[f131,f25]) ).
fof(f131,plain,
( ! [X5] :
( ~ r1(sK6(sK3),X5)
| ~ r1(sK0,sK3)
| p1(X5) )
| ~ spl8_16 ),
inference(resolution,[],[f124,f20]) ).
fof(f124,plain,
( ! [X0,X1] :
( ~ r1(sK3,X0)
| p1(X1)
| ~ r1(X0,X1) )
| ~ spl8_16 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl8_16
<=> ! [X0,X1] :
( ~ r1(sK3,X0)
| p1(X1)
| ~ r1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).
fof(f128,plain,
( spl8_16
| ~ spl8_15 ),
inference(avatar_split_clause,[],[f127,f119,f123]) ).
fof(f119,plain,
( spl8_15
<=> p1(sK2(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_15])]) ).
fof(f127,plain,
( ! [X0,X1] :
( p1(X1)
| ~ r1(sK3,X0)
| ~ r1(X0,X1) )
| ~ spl8_15 ),
inference(subsumption_resolution,[],[f126,f25]) ).
fof(f126,plain,
( ! [X0,X1] :
( ~ r1(sK3,X0)
| ~ r1(sK0,sK3)
| p1(X1)
| ~ r1(X0,X1) )
| ~ spl8_15 ),
inference(resolution,[],[f121,f29]) ).
fof(f29,plain,
! [X6,X4,X5] :
( ~ p1(sK2(X4))
| ~ r1(X4,X5)
| p1(X6)
| ~ r1(sK0,X4)
| ~ r1(X5,X6) ),
inference(cnf_transformation,[],[f17]) ).
fof(f121,plain,
( p1(sK2(sK3))
| ~ spl8_15 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f125,plain,
( spl8_15
| spl8_16 ),
inference(avatar_split_clause,[],[f117,f123,f119]) ).
fof(f117,plain,
! [X0,X1] :
( ~ r1(sK3,X0)
| ~ r1(X0,X1)
| p1(X1)
| p1(sK2(sK3)) ),
inference(subsumption_resolution,[],[f113,f25]) ).
fof(f113,plain,
! [X0,X1] :
( p1(X1)
| ~ r1(sK0,sK3)
| ~ r1(X0,X1)
| p1(sK2(sK3))
| ~ r1(sK3,X0) ),
inference(resolution,[],[f28,f26]) ).
fof(f26,plain,
! [X9] :
( ~ r1(sK3,X9)
| p1(X9) ),
inference(cnf_transformation,[],[f17]) ).
fof(f28,plain,
! [X6,X4,X5] :
( r1(X4,sK2(X4))
| ~ r1(sK0,X4)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| p1(X6) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL638+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % 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 : n001.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 02:33:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 % (32148)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.49 % (32165)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.49 % (32148)First to succeed.
% 0.20/0.49 % (32148)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.49 % (32148)------------------------------
% 0.27/0.49 % (32148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.27/0.49 % (32148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.27/0.49 % (32148)Termination reason: Refutation
% 0.27/0.49
% 0.27/0.49 % (32148)Memory used [KB]: 6012
% 0.27/0.49 % (32148)Time elapsed: 0.091 s
% 0.27/0.49 % (32148)Instructions burned: 4 (million)
% 0.27/0.49 % (32148)------------------------------
% 0.27/0.49 % (32148)------------------------------
% 0.27/0.49 % (32141)Success in time 0.145 s
%------------------------------------------------------------------------------