TSTP Solution File: LCL672+1.001 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL672+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 17:44:50 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 63 ( 15 unt; 0 def)
% Number of atoms : 701 ( 0 equ)
% Maximal formula atoms : 96 ( 11 avg)
% Number of connectives : 1181 ( 543 ~; 444 |; 177 &)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-1 aty)
% Number of variables : 407 ( 334 !; 73 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f206,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f60,f117,f139,f205]) ).
fof(f205,plain,
( ~ spl11_1
| ~ spl11_4 ),
inference(avatar_contradiction_clause,[],[f204]) ).
fof(f204,plain,
( $false
| ~ spl11_1
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f203,f196]) ).
fof(f196,plain,
( r1(sK10,sK3(sK10))
| ~ spl11_1 ),
inference(unit_resulting_resolution,[],[f93,f29,f94,f45,f45,f49]) ).
fof(f49,plain,
( ! [X10,X11,X9,X12] :
( ~ r1(sK0,X9)
| p1(X11)
| ~ r1(X9,X10)
| ~ r1(X10,X11)
| r1(X12,sK3(X12))
| ~ r1(X10,X12) )
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl11_1
<=> ! [X10,X9,X11,X12] :
( p1(X11)
| ~ r1(X10,X12)
| ~ r1(sK0,X9)
| ~ r1(X9,X10)
| r1(X12,sK3(X12))
| ~ r1(X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f45,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(f94,plain,
r1(sK0,sK9),
inference(unit_resulting_resolution,[],[f30,f31,f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ r1(X2,X1)
| ~ r1(X0,X2)
| r1(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ~ r1(X0,X2)
| r1(X0,X1)
| ~ r1(X2,X1) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
! [X2,X1,X0] :
( ~ r1(X2,X0)
| r1(X2,X1)
| ~ r1(X0,X1) ),
inference(flattening,[],[f11]) ).
fof(f11,plain,
! [X2,X0,X1] :
( r1(X2,X1)
| ~ r1(X2,X0)
| ~ r1(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
! [X2,X0,X1] :
( ( r1(X2,X0)
& r1(X0,X1) )
=> r1(X2,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X2,X0] :
( ( r1(X1,X2)
& r1(X0,X1) )
=> r1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f31,plain,
r1(sK0,sK8),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( ! [X1] :
( ~ r1(sK0,X1)
| p2(X1) )
| ! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ( r1(X3,sK1(X3))
& ~ p1(sK1(X3)) ) )
| ~ r1(sK0,X2)
| ! [X5] :
( ~ r1(X2,X5)
| ( r1(X5,sK2(X5))
& ! [X7] :
( ~ r1(sK2(X5),X7)
| p1(X7) ) ) ) )
| ! [X8] :
( p1(X8)
| ~ r1(sK0,X8) ) )
& ( ! [X9] :
( ! [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10)
| ! [X12] :
( ( r1(X12,sK3(X12))
& ~ p1(sK3(X12)) )
| ~ r1(X10,X12) ) )
| ~ r1(sK0,X9) )
| ! [X14] :
( ~ r1(sK0,X14)
| p2(X14) )
| ! [X15] :
( p1(X15)
| ~ r1(sK0,X15) ) )
& ~ p1(sK4)
& r1(sK0,sK4)
& ( ! [X17] :
( r1(X17,sK5(X17))
| ~ r1(sK0,X17) )
| ! [X19] :
( ~ r1(sK0,X19)
| p1(X19) )
| ! [X20] :
( p2(X20)
| ~ r1(sK0,X20) ) )
& r1(sK0,sK6)
& ~ p2(sK6)
& ( ! [X22] :
( ~ p1(X22)
| ~ r1(sK0,X22)
| ! [X23] :
( ( p1(sK7(X23))
& r1(X23,sK7(X23)) )
| ~ r1(X22,X23) ) )
| ! [X25] :
( p1(X25)
| ~ r1(sK0,X25) )
| ! [X26] :
( ~ r1(sK0,X26)
| p2(X26) ) )
& r1(sK0,sK8)
& r1(sK8,sK9)
& ~ p1(sK9)
& r1(sK8,sK10)
& ! [X30] :
( ~ r1(sK10,X30)
| p1(X30) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f13,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14]) ).
fof(f14,plain,
( ? [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ? [X4] :
( r1(X3,X4)
& ~ p1(X4) ) )
| ~ r1(X0,X2)
| ! [X5] :
( ~ r1(X2,X5)
| ? [X6] :
( r1(X5,X6)
& ! [X7] :
( ~ r1(X6,X7)
| p1(X7) ) ) ) )
| ! [X8] :
( p1(X8)
| ~ r1(X0,X8) ) )
& ( ! [X9] :
( ! [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10)
| ! [X12] :
( ? [X13] :
( r1(X12,X13)
& ~ p1(X13) )
| ~ r1(X10,X12) ) )
| ~ r1(X0,X9) )
| ! [X14] :
( ~ r1(X0,X14)
| p2(X14) )
| ! [X15] :
( p1(X15)
| ~ r1(X0,X15) ) )
& ? [X16] :
( ~ p1(X16)
& r1(X0,X16) )
& ( ! [X17] :
( ? [X18] : r1(X17,X18)
| ~ r1(X0,X17) )
| ! [X19] :
( ~ r1(X0,X19)
| p1(X19) )
| ! [X20] :
( p2(X20)
| ~ r1(X0,X20) ) )
& ? [X21] :
( r1(X0,X21)
& ~ p2(X21) )
& ( ! [X22] :
( ~ p1(X22)
| ~ r1(X0,X22)
| ! [X23] :
( ? [X24] :
( p1(X24)
& r1(X23,X24) )
| ~ r1(X22,X23) ) )
| ! [X25] :
( p1(X25)
| ~ r1(X0,X25) )
| ! [X26] :
( ~ r1(X0,X26)
| p2(X26) ) )
& ? [X27] :
( r1(X0,X27)
& ? [X28] :
( r1(X27,X28)
& ~ p1(X28) )
& ? [X29] :
( r1(X27,X29)
& ! [X30] :
( ~ r1(X29,X30)
| p1(X30) ) ) ) )
=> ( ( ! [X1] :
( ~ r1(sK0,X1)
| p2(X1) )
| ! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ? [X4] :
( r1(X3,X4)
& ~ p1(X4) ) )
| ~ r1(sK0,X2)
| ! [X5] :
( ~ r1(X2,X5)
| ? [X6] :
( r1(X5,X6)
& ! [X7] :
( ~ r1(X6,X7)
| p1(X7) ) ) ) )
| ! [X8] :
( p1(X8)
| ~ r1(sK0,X8) ) )
& ( ! [X9] :
( ! [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10)
| ! [X12] :
( ? [X13] :
( r1(X12,X13)
& ~ p1(X13) )
| ~ r1(X10,X12) ) )
| ~ r1(sK0,X9) )
| ! [X14] :
( ~ r1(sK0,X14)
| p2(X14) )
| ! [X15] :
( p1(X15)
| ~ r1(sK0,X15) ) )
& ? [X16] :
( ~ p1(X16)
& r1(sK0,X16) )
& ( ! [X17] :
( ? [X18] : r1(X17,X18)
| ~ r1(sK0,X17) )
| ! [X19] :
( ~ r1(sK0,X19)
| p1(X19) )
| ! [X20] :
( p2(X20)
| ~ r1(sK0,X20) ) )
& ? [X21] :
( r1(sK0,X21)
& ~ p2(X21) )
& ( ! [X22] :
( ~ p1(X22)
| ~ r1(sK0,X22)
| ! [X23] :
( ? [X24] :
( p1(X24)
& r1(X23,X24) )
| ~ r1(X22,X23) ) )
| ! [X25] :
( p1(X25)
| ~ r1(sK0,X25) )
| ! [X26] :
( ~ r1(sK0,X26)
| p2(X26) ) )
& ? [X27] :
( r1(sK0,X27)
& ? [X28] :
( r1(X27,X28)
& ~ p1(X28) )
& ? [X29] :
( r1(X27,X29)
& ! [X30] :
( ~ r1(X29,X30)
| p1(X30) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X3] :
( ? [X4] :
( r1(X3,X4)
& ~ p1(X4) )
=> ( r1(X3,sK1(X3))
& ~ p1(sK1(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X5] :
( ? [X6] :
( r1(X5,X6)
& ! [X7] :
( ~ r1(X6,X7)
| p1(X7) ) )
=> ( r1(X5,sK2(X5))
& ! [X7] :
( ~ r1(sK2(X5),X7)
| p1(X7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X12] :
( ? [X13] :
( r1(X12,X13)
& ~ p1(X13) )
=> ( r1(X12,sK3(X12))
& ~ p1(sK3(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ? [X16] :
( ~ p1(X16)
& r1(sK0,X16) )
=> ( ~ p1(sK4)
& r1(sK0,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X17] :
( ? [X18] : r1(X17,X18)
=> r1(X17,sK5(X17)) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
( ? [X21] :
( r1(sK0,X21)
& ~ p2(X21) )
=> ( r1(sK0,sK6)
& ~ p2(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X23] :
( ? [X24] :
( p1(X24)
& r1(X23,X24) )
=> ( p1(sK7(X23))
& r1(X23,sK7(X23)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
( ? [X27] :
( r1(sK0,X27)
& ? [X28] :
( r1(X27,X28)
& ~ p1(X28) )
& ? [X29] :
( r1(X27,X29)
& ! [X30] :
( ~ r1(X29,X30)
| p1(X30) ) ) )
=> ( r1(sK0,sK8)
& ? [X28] :
( r1(sK8,X28)
& ~ p1(X28) )
& ? [X29] :
( r1(sK8,X29)
& ! [X30] :
( ~ r1(X29,X30)
| p1(X30) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( ? [X28] :
( r1(sK8,X28)
& ~ p1(X28) )
=> ( r1(sK8,sK9)
& ~ p1(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
( ? [X29] :
( r1(sK8,X29)
& ! [X30] :
( ~ r1(X29,X30)
| p1(X30) ) )
=> ( r1(sK8,sK10)
& ! [X30] :
( ~ r1(sK10,X30)
| p1(X30) ) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
? [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ? [X4] :
( r1(X3,X4)
& ~ p1(X4) ) )
| ~ r1(X0,X2)
| ! [X5] :
( ~ r1(X2,X5)
| ? [X6] :
( r1(X5,X6)
& ! [X7] :
( ~ r1(X6,X7)
| p1(X7) ) ) ) )
| ! [X8] :
( p1(X8)
| ~ r1(X0,X8) ) )
& ( ! [X9] :
( ! [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10)
| ! [X12] :
( ? [X13] :
( r1(X12,X13)
& ~ p1(X13) )
| ~ r1(X10,X12) ) )
| ~ r1(X0,X9) )
| ! [X14] :
( ~ r1(X0,X14)
| p2(X14) )
| ! [X15] :
( p1(X15)
| ~ r1(X0,X15) ) )
& ? [X16] :
( ~ p1(X16)
& r1(X0,X16) )
& ( ! [X17] :
( ? [X18] : r1(X17,X18)
| ~ r1(X0,X17) )
| ! [X19] :
( ~ r1(X0,X19)
| p1(X19) )
| ! [X20] :
( p2(X20)
| ~ r1(X0,X20) ) )
& ? [X21] :
( r1(X0,X21)
& ~ p2(X21) )
& ( ! [X22] :
( ~ p1(X22)
| ~ r1(X0,X22)
| ! [X23] :
( ? [X24] :
( p1(X24)
& r1(X23,X24) )
| ~ r1(X22,X23) ) )
| ! [X25] :
( p1(X25)
| ~ r1(X0,X25) )
| ! [X26] :
( ~ r1(X0,X26)
| p2(X26) ) )
& ? [X27] :
( r1(X0,X27)
& ? [X28] :
( r1(X27,X28)
& ~ p1(X28) )
& ? [X29] :
( r1(X27,X29)
& ! [X30] :
( ~ r1(X29,X30)
| p1(X30) ) ) ) ),
inference(rectify,[],[f10]) ).
fof(f10,plain,
? [X0] :
( ( ! [X24] :
( ~ r1(X0,X24)
| p2(X24) )
| ! [X25] :
( ! [X26] :
( ~ r1(X25,X26)
| ? [X27] :
( r1(X26,X27)
& ~ p1(X27) ) )
| ~ r1(X0,X25)
| ! [X28] :
( ~ r1(X25,X28)
| ? [X29] :
( r1(X28,X29)
& ! [X30] :
( ~ r1(X29,X30)
| p1(X30) ) ) ) )
| ! [X23] :
( p1(X23)
| ~ r1(X0,X23) ) )
& ( ! [X8] :
( ! [X9] :
( ! [X12] :
( p1(X12)
| ~ r1(X9,X12) )
| ~ r1(X8,X9)
| ! [X10] :
( ? [X11] :
( r1(X10,X11)
& ~ p1(X11) )
| ~ r1(X9,X10) ) )
| ~ r1(X0,X8) )
| ! [X7] :
( ~ r1(X0,X7)
| p2(X7) )
| ! [X6] :
( p1(X6)
| ~ r1(X0,X6) ) )
& ? [X17] :
( ~ p1(X17)
& r1(X0,X17) )
& ( ! [X19] :
( ? [X20] : r1(X19,X20)
| ~ r1(X0,X19) )
| ! [X21] :
( ~ r1(X0,X21)
| p1(X21) )
| ! [X22] :
( p2(X22)
| ~ r1(X0,X22) ) )
& ? [X18] :
( r1(X0,X18)
& ~ p2(X18) )
& ( ! [X3] :
( ~ p1(X3)
| ~ r1(X0,X3)
| ! [X4] :
( ? [X5] :
( p1(X5)
& r1(X4,X5) )
| ~ r1(X3,X4) ) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( ~ r1(X0,X2)
| p2(X2) ) )
& ? [X13] :
( r1(X0,X13)
& ? [X16] :
( r1(X13,X16)
& ~ p1(X16) )
& ? [X14] :
( r1(X13,X14)
& ! [X15] :
( ~ r1(X14,X15)
| p1(X15) ) ) ) ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
? [X0] :
( ? [X18] :
( r1(X0,X18)
& ~ p2(X18) )
& ( ! [X7] :
( ~ r1(X0,X7)
| p2(X7) )
| ! [X6] :
( p1(X6)
| ~ r1(X0,X6) )
| ! [X8] :
( ~ r1(X0,X8)
| ! [X9] :
( ! [X12] :
( p1(X12)
| ~ r1(X9,X12) )
| ! [X10] :
( ? [X11] :
( r1(X10,X11)
& ~ p1(X11) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) ) ) )
& ( ! [X2] :
( ~ r1(X0,X2)
| p2(X2) )
| ! [X3] :
( ~ r1(X0,X3)
| ~ p1(X3)
| ! [X4] :
( ? [X5] :
( p1(X5)
& r1(X4,X5) )
| ~ r1(X3,X4) ) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
& ( ! [X19] :
( ? [X20] : r1(X19,X20)
| ~ r1(X0,X19) )
| ! [X21] :
( ~ r1(X0,X21)
| p1(X21) )
| ! [X22] :
( p2(X22)
| ~ r1(X0,X22) ) )
& ( ! [X24] :
( ~ r1(X0,X24)
| p2(X24) )
| ! [X25] :
( ! [X26] :
( ~ r1(X25,X26)
| ? [X27] :
( r1(X26,X27)
& ~ p1(X27) ) )
| ! [X28] :
( ~ r1(X25,X28)
| ? [X29] :
( r1(X28,X29)
& ! [X30] :
( ~ r1(X29,X30)
| p1(X30) ) ) )
| ~ r1(X0,X25) )
| ! [X23] :
( p1(X23)
| ~ r1(X0,X23) ) )
& ? [X13] :
( r1(X0,X13)
& ? [X16] :
( r1(X13,X16)
& ~ p1(X16) )
& ? [X14] :
( r1(X13,X14)
& ! [X15] :
( ~ r1(X14,X15)
| p1(X15) ) ) )
& ? [X17] :
( ~ p1(X17)
& r1(X0,X17) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
? [X0] :
~ ( ! [X18] :
( ~ r1(X0,X18)
| p2(X18) )
| ( ~ ! [X7] :
( ~ r1(X0,X7)
| p2(X7) )
& ~ ! [X6] :
( p1(X6)
| ~ r1(X0,X6) )
& ~ ! [X8] :
( ~ r1(X0,X8)
| ! [X9] :
( ~ ( ~ ! [X12] :
( p1(X12)
| ~ r1(X9,X12) )
& ~ ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) ) )
| ~ r1(X8,X9) ) ) )
| ( ~ ! [X2] :
( ~ r1(X0,X2)
| p2(X2) )
& ~ ! [X3] :
( ~ r1(X0,X3)
| ~ ( p1(X3)
& ~ ! [X4] :
( ~ ! [X5] :
( ~ r1(X4,X5)
| ~ p1(X5) )
| ~ r1(X3,X4) ) ) )
& ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X19] :
( ~ r1(X0,X19)
| ~ ! [X20] : ~ r1(X19,X20) )
& ~ ! [X22] :
( p2(X22)
| ~ r1(X0,X22) )
& ~ ! [X21] :
( ~ r1(X0,X21)
| p1(X21) ) )
| ( ~ ! [X24] :
( ~ r1(X0,X24)
| p2(X24) )
& ~ ! [X25] :
( ~ ( ~ ! [X26] :
( ~ r1(X25,X26)
| ~ ! [X27] :
( p1(X27)
| ~ r1(X26,X27) ) )
& ~ ! [X28] :
( ~ r1(X25,X28)
| ~ ! [X29] :
( ~ r1(X28,X29)
| ~ ! [X30] :
( ~ r1(X29,X30)
| p1(X30) ) ) ) )
| ~ r1(X0,X25) )
& ~ ! [X23] :
( p1(X23)
| ~ r1(X0,X23) ) )
| ! [X13] :
( ~ r1(X0,X13)
| ! [X16] :
( p1(X16)
| ~ r1(X13,X16) )
| ! [X14] :
( ~ ! [X15] :
( ~ r1(X14,X15)
| p1(X15) )
| ~ r1(X13,X14) ) )
| ! [X17] :
( ~ r1(X0,X17)
| p1(X17) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
~ ~ ? [X0] :
~ ( ! [X18] :
( ~ r1(X0,X18)
| p2(X18) )
| ( ~ ! [X7] :
( ~ r1(X0,X7)
| p2(X7) )
& ~ ! [X6] :
( p1(X6)
| ~ r1(X0,X6) )
& ~ ! [X8] :
( ~ r1(X0,X8)
| ! [X9] :
( ~ ( ~ ! [X12] :
( p1(X12)
| ~ r1(X9,X12) )
& ~ ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) ) )
| ~ r1(X8,X9) ) ) )
| ( ~ ! [X2] :
( ~ r1(X0,X2)
| p2(X2) )
& ~ ! [X3] :
( ~ r1(X0,X3)
| ~ ( p1(X3)
& ~ ! [X4] :
( ~ ! [X5] :
( ~ r1(X4,X5)
| ~ p1(X5) )
| ~ r1(X3,X4) ) ) )
& ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X19] :
( ~ r1(X0,X19)
| ~ ! [X20] : ~ r1(X19,X20) )
& ~ ! [X22] :
( p2(X22)
| ~ r1(X0,X22) )
& ~ ! [X21] :
( ~ r1(X0,X21)
| p1(X21) ) )
| ( ~ ! [X24] :
( ~ r1(X0,X24)
| p2(X24) )
& ~ ! [X25] :
( ~ ( ~ ! [X26] :
( ~ r1(X25,X26)
| ~ ! [X27] :
( p1(X27)
| ~ r1(X26,X27) ) )
& ~ ! [X28] :
( ~ r1(X25,X28)
| ~ ! [X29] :
( ~ r1(X28,X29)
| ~ ! [X30] :
( ~ r1(X29,X30)
| p1(X30) ) ) ) )
| ~ r1(X0,X25) )
& ~ ! [X23] :
( p1(X23)
| ~ r1(X0,X23) ) )
| ! [X13] :
( ~ r1(X0,X13)
| ! [X16] :
( p1(X16)
| ~ r1(X13,X16) )
| ! [X14] :
( ~ ! [X15] :
( ~ r1(X14,X15)
| p1(X15) )
| ~ r1(X13,X14) ) )
| ! [X17] :
( ~ r1(X0,X17)
| p1(X17) ) ),
inference(true_and_false_elimination,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ( ~ ! [X2] :
( ~ r1(X0,X2)
| p2(X2) )
& ~ ! [X3] :
( ~ r1(X0,X3)
| ~ ( p1(X3)
& ~ ! [X4] :
( ~ ! [X5] :
( ~ r1(X4,X5)
| ~ p1(X5) )
| ~ r1(X3,X4) ) ) )
& ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X7] :
( ~ r1(X0,X7)
| p2(X7) )
& ~ ! [X6] :
( p1(X6)
| ~ r1(X0,X6) )
& ~ ! [X8] :
( ~ r1(X0,X8)
| ! [X9] :
( ~ ( ~ ! [X12] :
( p1(X12)
| ~ r1(X9,X12) )
& ~ ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) ) )
| ~ r1(X8,X9) ) ) )
| ! [X13] :
( ~ r1(X0,X13)
| ! [X16] :
( p1(X16)
| ~ r1(X13,X16) )
| ! [X14] :
( ~ ! [X15] :
( ~ r1(X14,X15)
| p1(X15) )
| ~ r1(X13,X14) ) )
| ! [X17] :
( ~ r1(X0,X17)
| p1(X17) )
| ! [X18] :
( ~ r1(X0,X18)
| p2(X18) )
| ( ~ ! [X19] :
( ~ r1(X0,X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| $false ) )
& ~ ! [X21] :
( ~ r1(X0,X21)
| p1(X21) )
& ~ ! [X22] :
( p2(X22)
| ~ r1(X0,X22) ) )
| ( ~ ! [X24] :
( ~ r1(X0,X24)
| p2(X24) )
& ~ ! [X25] :
( ~ ( ~ ! [X26] :
( ~ r1(X25,X26)
| ~ ! [X27] :
( p1(X27)
| ~ r1(X26,X27) ) )
& ~ ! [X28] :
( ~ r1(X25,X28)
| ~ ! [X29] :
( ~ r1(X28,X29)
| ~ ! [X30] :
( ~ r1(X29,X30)
| p1(X30) ) ) ) )
| ~ r1(X0,X25) )
& ~ ! [X23] :
( p1(X23)
| ~ r1(X0,X23) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p1(X1)
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) ) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
& ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| $false ) )
& ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ~ r1(X1,X0) ) ) ) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p1(X1)
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) ) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
& ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| $false ) )
& ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ~ r1(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f30,plain,
r1(sK8,sK9),
inference(cnf_transformation,[],[f25]) ).
fof(f29,plain,
~ p1(sK9),
inference(cnf_transformation,[],[f25]) ).
fof(f93,plain,
r1(sK0,sK10),
inference(unit_resulting_resolution,[],[f28,f31,f46]) ).
fof(f28,plain,
r1(sK8,sK10),
inference(cnf_transformation,[],[f25]) ).
fof(f203,plain,
( ~ r1(sK10,sK3(sK10))
| ~ spl11_4 ),
inference(unit_resulting_resolution,[],[f155,f27]) ).
fof(f27,plain,
! [X30] :
( ~ r1(sK10,X30)
| p1(X30) ),
inference(cnf_transformation,[],[f25]) ).
fof(f155,plain,
( ~ p1(sK3(sK10))
| ~ spl11_4 ),
inference(unit_resulting_resolution,[],[f28,f29,f30,f31,f45,f59]) ).
fof(f59,plain,
( ! [X10,X11,X9,X12] :
( ~ p1(sK3(X12))
| ~ r1(X9,X10)
| p1(X11)
| ~ r1(X10,X11)
| ~ r1(sK0,X9)
| ~ r1(X10,X12) )
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl11_4
<=> ! [X10,X11,X12,X9] :
( ~ r1(X9,X10)
| p1(X11)
| ~ p1(sK3(X12))
| ~ r1(sK0,X9)
| ~ r1(X10,X11)
| ~ r1(X10,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f139,plain,
~ spl11_3,
inference(avatar_contradiction_clause,[],[f138]) ).
fof(f138,plain,
( $false
| ~ spl11_3 ),
inference(subsumption_resolution,[],[f122,f38]) ).
fof(f38,plain,
~ p1(sK4),
inference(cnf_transformation,[],[f25]) ).
fof(f122,plain,
( p1(sK4)
| ~ spl11_3 ),
inference(unit_resulting_resolution,[],[f37,f55]) ).
fof(f55,plain,
( ! [X15] :
( ~ r1(sK0,X15)
| p1(X15) )
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl11_3
<=> ! [X15] :
( ~ r1(sK0,X15)
| p1(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f37,plain,
r1(sK0,sK4),
inference(cnf_transformation,[],[f25]) ).
fof(f117,plain,
~ spl11_2,
inference(avatar_contradiction_clause,[],[f116]) ).
fof(f116,plain,
( $false
| ~ spl11_2 ),
inference(subsumption_resolution,[],[f106,f35]) ).
fof(f35,plain,
r1(sK0,sK6),
inference(cnf_transformation,[],[f25]) ).
fof(f106,plain,
( ~ r1(sK0,sK6)
| ~ spl11_2 ),
inference(unit_resulting_resolution,[],[f34,f52]) ).
fof(f52,plain,
( ! [X14] :
( ~ r1(sK0,X14)
| p2(X14) )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl11_2
<=> ! [X14] :
( ~ r1(sK0,X14)
| p2(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f34,plain,
~ p2(sK6),
inference(cnf_transformation,[],[f25]) ).
fof(f60,plain,
( spl11_3
| spl11_2
| spl11_4 ),
inference(avatar_split_clause,[],[f39,f58,f51,f54]) ).
fof(f39,plain,
! [X10,X11,X9,X14,X15,X12] :
( ~ r1(X9,X10)
| ~ r1(X10,X12)
| ~ r1(X10,X11)
| ~ r1(sK0,X14)
| ~ r1(sK0,X9)
| ~ p1(sK3(X12))
| p1(X11)
| p1(X15)
| ~ r1(sK0,X15)
| p2(X14) ),
inference(cnf_transformation,[],[f25]) ).
fof(f56,plain,
( spl11_1
| spl11_2
| spl11_3 ),
inference(avatar_split_clause,[],[f40,f54,f51,f48]) ).
fof(f40,plain,
! [X10,X11,X9,X14,X15,X12] :
( ~ r1(sK0,X15)
| ~ r1(sK0,X14)
| p1(X11)
| ~ r1(X10,X11)
| r1(X12,sK3(X12))
| p2(X14)
| ~ r1(X9,X10)
| ~ r1(sK0,X9)
| ~ r1(X10,X12)
| p1(X15) ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL672+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 02:45:45 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (3631)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)
% 0.20/0.50 % (3612)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.50 % (3634)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.50 % (3610)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (3610)First to succeed.
% 0.20/0.51 % (3616)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51 % (3611)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51 % (3613)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)
% 0.20/0.51 % (3623)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (3633)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (3608)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52 % (3607)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (3619)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.52 % (3617)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.52 % (3610)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (3610)------------------------------
% 0.20/0.52 % (3610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (3610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (3610)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (3610)Memory used [KB]: 6140
% 0.20/0.52 % (3610)Time elapsed: 0.111 s
% 0.20/0.52 % (3610)Instructions burned: 8 (million)
% 0.20/0.52 % (3610)------------------------------
% 0.20/0.52 % (3610)------------------------------
% 0.20/0.52 % (3603)Success in time 0.172 s
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