TSTP Solution File: SEU277+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU277+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n005.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 18:28:16 EDT 2022
% Result : Theorem 1.46s 0.58s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 14
% Syntax : Number of formulae : 95 ( 5 unt; 0 def)
% Number of atoms : 576 ( 139 equ)
% Maximal formula atoms : 22 ( 6 avg)
% Number of connectives : 712 ( 231 ~; 276 |; 175 &)
% ( 10 <=>; 18 =>; 0 <=; 2 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 3 con; 0-4 aty)
% Number of variables : 348 ( 193 !; 155 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f246,plain,
$false,
inference(avatar_sat_refutation,[],[f157,f196,f245]) ).
fof(f245,plain,
( spl26_1
| ~ spl26_2 ),
inference(avatar_contradiction_clause,[],[f244]) ).
fof(f244,plain,
( $false
| spl26_1
| ~ spl26_2 ),
inference(subsumption_resolution,[],[f243,f207]) ).
fof(f207,plain,
( ordered_pair(sK12(sK19,sK21,sK22(sK9(sK19,sK21,sK20))),sK11(sK19,sK21,sK22(sK9(sK19,sK21,sK20)))) = sK22(sK9(sK19,sK21,sK20))
| spl26_1
| ~ spl26_2 ),
inference(subsumption_resolution,[],[f206,f128]) ).
fof(f128,plain,
relation(sK21),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( relation(sK21)
& ! [X3] :
( ( ~ in(sK22(X3),X3)
| ! [X5,X6] :
( ordered_pair(X6,X5) != sK22(X3)
| ~ in(ordered_pair(apply(sK19,X6),apply(sK19,X5)),sK21) )
| ~ in(sK22(X3),cartesian_product2(sK20,sK20)) )
& ( in(sK22(X3),X3)
| ( sK22(X3) = ordered_pair(sK24(X3),sK23(X3))
& in(ordered_pair(apply(sK19,sK24(X3)),apply(sK19,sK23(X3))),sK21)
& in(sK22(X3),cartesian_product2(sK20,sK20)) ) ) )
& function(sK19)
& relation(sK19) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21,sK22,sK23,sK24])],[f72,f75,f74,f73]) ).
fof(f73,plain,
( ? [X0,X1,X2] :
( relation(X2)
& ! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ! [X5,X6] :
( ordered_pair(X6,X5) != X4
| ~ in(ordered_pair(apply(X0,X6),apply(X0,X5)),X2) )
| ~ in(X4,cartesian_product2(X1,X1)) )
& ( in(X4,X3)
| ( ? [X7,X8] :
( ordered_pair(X8,X7) = X4
& in(ordered_pair(apply(X0,X8),apply(X0,X7)),X2) )
& in(X4,cartesian_product2(X1,X1)) ) ) )
& function(X0)
& relation(X0) )
=> ( relation(sK21)
& ! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ! [X6,X5] :
( ordered_pair(X6,X5) != X4
| ~ in(ordered_pair(apply(sK19,X6),apply(sK19,X5)),sK21) )
| ~ in(X4,cartesian_product2(sK20,sK20)) )
& ( in(X4,X3)
| ( ? [X8,X7] :
( ordered_pair(X8,X7) = X4
& in(ordered_pair(apply(sK19,X8),apply(sK19,X7)),sK21) )
& in(X4,cartesian_product2(sK20,sK20)) ) ) )
& function(sK19)
& relation(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X3] :
( ? [X4] :
( ( ~ in(X4,X3)
| ! [X6,X5] :
( ordered_pair(X6,X5) != X4
| ~ in(ordered_pair(apply(sK19,X6),apply(sK19,X5)),sK21) )
| ~ in(X4,cartesian_product2(sK20,sK20)) )
& ( in(X4,X3)
| ( ? [X8,X7] :
( ordered_pair(X8,X7) = X4
& in(ordered_pair(apply(sK19,X8),apply(sK19,X7)),sK21) )
& in(X4,cartesian_product2(sK20,sK20)) ) ) )
=> ( ( ~ in(sK22(X3),X3)
| ! [X6,X5] :
( ordered_pair(X6,X5) != sK22(X3)
| ~ in(ordered_pair(apply(sK19,X6),apply(sK19,X5)),sK21) )
| ~ in(sK22(X3),cartesian_product2(sK20,sK20)) )
& ( in(sK22(X3),X3)
| ( ? [X8,X7] :
( sK22(X3) = ordered_pair(X8,X7)
& in(ordered_pair(apply(sK19,X8),apply(sK19,X7)),sK21) )
& in(sK22(X3),cartesian_product2(sK20,sK20)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X3] :
( ? [X8,X7] :
( sK22(X3) = ordered_pair(X8,X7)
& in(ordered_pair(apply(sK19,X8),apply(sK19,X7)),sK21) )
=> ( sK22(X3) = ordered_pair(sK24(X3),sK23(X3))
& in(ordered_pair(apply(sK19,sK24(X3)),apply(sK19,sK23(X3))),sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
? [X0,X1,X2] :
( relation(X2)
& ! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ! [X5,X6] :
( ordered_pair(X6,X5) != X4
| ~ in(ordered_pair(apply(X0,X6),apply(X0,X5)),X2) )
| ~ in(X4,cartesian_product2(X1,X1)) )
& ( in(X4,X3)
| ( ? [X7,X8] :
( ordered_pair(X8,X7) = X4
& in(ordered_pair(apply(X0,X8),apply(X0,X7)),X2) )
& in(X4,cartesian_product2(X1,X1)) ) ) )
& function(X0)
& relation(X0) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
? [X0,X1,X2] :
( relation(X2)
& ! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ! [X5,X6] :
( ordered_pair(X6,X5) != X4
| ~ in(ordered_pair(apply(X0,X6),apply(X0,X5)),X2) )
| ~ in(X4,cartesian_product2(X1,X1)) )
& ( in(X4,X3)
| ( ? [X5,X6] :
( ordered_pair(X6,X5) = X4
& in(ordered_pair(apply(X0,X6),apply(X0,X5)),X2) )
& in(X4,cartesian_product2(X1,X1)) ) ) )
& function(X0)
& relation(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
? [X0,X1,X2] :
( relation(X2)
& ! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ! [X5,X6] :
( ordered_pair(X6,X5) != X4
| ~ in(ordered_pair(apply(X0,X6),apply(X0,X5)),X2) )
| ~ in(X4,cartesian_product2(X1,X1)) )
& ( in(X4,X3)
| ( ? [X5,X6] :
( ordered_pair(X6,X5) = X4
& in(ordered_pair(apply(X0,X6),apply(X0,X5)),X2) )
& in(X4,cartesian_product2(X1,X1)) ) ) )
& function(X0)
& relation(X0) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
? [X0,X1,X2] :
( relation(X2)
& ! [X3] :
? [X4] :
( ( ? [X5,X6] :
( ordered_pair(X6,X5) = X4
& in(ordered_pair(apply(X0,X6),apply(X0,X5)),X2) )
& in(X4,cartesian_product2(X1,X1)) )
<~> in(X4,X3) )
& function(X0)
& relation(X0) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( ( ? [X5,X6] :
( ordered_pair(X6,X5) = X4
& in(ordered_pair(apply(X0,X6),apply(X0,X5)),X2) )
& in(X4,cartesian_product2(X1,X1)) )
<~> in(X4,X3) )
& relation(X2)
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X0,X1,X2] :
( ( relation(X2)
& function(X0)
& relation(X0) )
=> ? [X3] :
! [X4] :
( ( ? [X5,X6] :
( ordered_pair(X6,X5) = X4
& in(ordered_pair(apply(X0,X6),apply(X0,X5)),X2) )
& in(X4,cartesian_product2(X1,X1)) )
<=> in(X4,X3) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X2,X0,X1] :
( ( relation(X2)
& relation(X1)
& function(X2) )
=> ? [X3] :
! [X4] :
( ( in(X4,cartesian_product2(X0,X0))
& ? [X6,X5] :
( ordered_pair(X5,X6) = X4
& in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1) ) )
<=> in(X4,X3) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X2,X0,X1] :
( ( relation(X2)
& relation(X1)
& function(X2) )
=> ? [X3] :
! [X4] :
( ( in(X4,cartesian_product2(X0,X0))
& ? [X6,X5] :
( ordered_pair(X5,X6) = X4
& in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1) ) )
<=> in(X4,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e6_21__wellord2__1) ).
fof(f206,plain,
( ordered_pair(sK12(sK19,sK21,sK22(sK9(sK19,sK21,sK20))),sK11(sK19,sK21,sK22(sK9(sK19,sK21,sK20)))) = sK22(sK9(sK19,sK21,sK20))
| ~ relation(sK21)
| spl26_1
| ~ spl26_2 ),
inference(subsumption_resolution,[],[f205,f122]) ).
fof(f122,plain,
relation(sK19),
inference(cnf_transformation,[],[f76]) ).
fof(f205,plain,
( ordered_pair(sK12(sK19,sK21,sK22(sK9(sK19,sK21,sK20))),sK11(sK19,sK21,sK22(sK9(sK19,sK21,sK20)))) = sK22(sK9(sK19,sK21,sK20))
| ~ relation(sK19)
| ~ relation(sK21)
| spl26_1
| ~ spl26_2 ),
inference(subsumption_resolution,[],[f204,f123]) ).
fof(f123,plain,
function(sK19),
inference(cnf_transformation,[],[f76]) ).
fof(f204,plain,
( ordered_pair(sK12(sK19,sK21,sK22(sK9(sK19,sK21,sK20))),sK11(sK19,sK21,sK22(sK9(sK19,sK21,sK20)))) = sK22(sK9(sK19,sK21,sK20))
| ~ function(sK19)
| ~ relation(sK19)
| ~ relation(sK21)
| spl26_1
| ~ spl26_2 ),
inference(subsumption_resolution,[],[f201,f152]) ).
fof(f152,plain,
( ~ sP0(sK21,sK19)
| spl26_1 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl26_1
<=> sP0(sK21,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).
fof(f201,plain,
( sP0(sK21,sK19)
| ~ relation(sK21)
| ordered_pair(sK12(sK19,sK21,sK22(sK9(sK19,sK21,sK20))),sK11(sK19,sK21,sK22(sK9(sK19,sK21,sK20)))) = sK22(sK9(sK19,sK21,sK20))
| ~ relation(sK19)
| ~ function(sK19)
| ~ spl26_2 ),
inference(resolution,[],[f165,f91]) ).
fof(f91,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK9(X0,X1,X2))
| ordered_pair(sK12(X0,X1,X4),sK11(X0,X1,X4)) = X4
| ~ function(X0)
| sP0(X1,X0)
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ! [X4] :
( ( ( in(sK10(X0,X1,X2,X4),cartesian_product2(X2,X2))
& sK10(X0,X1,X2,X4) = X4
& ordered_pair(sK12(X0,X1,X4),sK11(X0,X1,X4)) = X4
& in(ordered_pair(apply(X0,sK12(X0,X1,X4)),apply(X0,sK11(X0,X1,X4))),X1) )
| ~ in(X4,sK9(X0,X1,X2)) )
& ( in(X4,sK9(X0,X1,X2))
| ! [X8] :
( ~ in(X8,cartesian_product2(X2,X2))
| X4 != X8
| ! [X9,X10] :
( ordered_pair(X10,X9) != X4
| ~ in(ordered_pair(apply(X0,X10),apply(X0,X9)),X1) ) ) ) )
| sP0(X1,X0)
| ~ function(X0)
| ~ relation(X0)
| ~ relation(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f52,f55,f54,f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( ? [X5] :
( in(X5,cartesian_product2(X2,X2))
& X4 = X5
& ? [X6,X7] :
( ordered_pair(X7,X6) = X4
& in(ordered_pair(apply(X0,X7),apply(X0,X6)),X1) ) )
| ~ in(X4,X3) )
& ( in(X4,X3)
| ! [X8] :
( ~ in(X8,cartesian_product2(X2,X2))
| X4 != X8
| ! [X9,X10] :
( ordered_pair(X10,X9) != X4
| ~ in(ordered_pair(apply(X0,X10),apply(X0,X9)),X1) ) ) ) )
=> ! [X4] :
( ( ? [X5] :
( in(X5,cartesian_product2(X2,X2))
& X4 = X5
& ? [X6,X7] :
( ordered_pair(X7,X6) = X4
& in(ordered_pair(apply(X0,X7),apply(X0,X6)),X1) ) )
| ~ in(X4,sK9(X0,X1,X2)) )
& ( in(X4,sK9(X0,X1,X2))
| ! [X8] :
( ~ in(X8,cartesian_product2(X2,X2))
| X4 != X8
| ! [X9,X10] :
( ordered_pair(X10,X9) != X4
| ~ in(ordered_pair(apply(X0,X10),apply(X0,X9)),X1) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0,X1,X2,X4] :
( ? [X5] :
( in(X5,cartesian_product2(X2,X2))
& X4 = X5
& ? [X6,X7] :
( ordered_pair(X7,X6) = X4
& in(ordered_pair(apply(X0,X7),apply(X0,X6)),X1) ) )
=> ( in(sK10(X0,X1,X2,X4),cartesian_product2(X2,X2))
& sK10(X0,X1,X2,X4) = X4
& ? [X6,X7] :
( ordered_pair(X7,X6) = X4
& in(ordered_pair(apply(X0,X7),apply(X0,X6)),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1,X4] :
( ? [X6,X7] :
( ordered_pair(X7,X6) = X4
& in(ordered_pair(apply(X0,X7),apply(X0,X6)),X1) )
=> ( ordered_pair(sK12(X0,X1,X4),sK11(X0,X1,X4)) = X4
& in(ordered_pair(apply(X0,sK12(X0,X1,X4)),apply(X0,sK11(X0,X1,X4))),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( ? [X5] :
( in(X5,cartesian_product2(X2,X2))
& X4 = X5
& ? [X6,X7] :
( ordered_pair(X7,X6) = X4
& in(ordered_pair(apply(X0,X7),apply(X0,X6)),X1) ) )
| ~ in(X4,X3) )
& ( in(X4,X3)
| ! [X8] :
( ~ in(X8,cartesian_product2(X2,X2))
| X4 != X8
| ! [X9,X10] :
( ordered_pair(X10,X9) != X4
| ~ in(ordered_pair(apply(X0,X10),apply(X0,X9)),X1) ) ) ) )
| sP0(X1,X0)
| ~ function(X0)
| ~ relation(X0)
| ~ relation(X1) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X2,X1,X0] :
( ? [X10] :
! [X11] :
( ( ? [X12] :
( in(X12,cartesian_product2(X0,X0))
& X11 = X12
& ? [X13,X14] :
( ordered_pair(X14,X13) = X11
& in(ordered_pair(apply(X2,X14),apply(X2,X13)),X1) ) )
| ~ in(X11,X10) )
& ( in(X11,X10)
| ! [X12] :
( ~ in(X12,cartesian_product2(X0,X0))
| X11 != X12
| ! [X13,X14] :
( ordered_pair(X14,X13) != X11
| ~ in(ordered_pair(apply(X2,X14),apply(X2,X13)),X1) ) ) ) )
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X2,X1,X0] :
( ? [X10] :
! [X11] :
( ? [X12] :
( in(X12,cartesian_product2(X0,X0))
& X11 = X12
& ? [X13,X14] :
( ordered_pair(X14,X13) = X11
& in(ordered_pair(apply(X2,X14),apply(X2,X13)),X1) ) )
<=> in(X11,X10) )
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(definition_folding,[],[f38,f41]) ).
fof(f41,plain,
! [X1,X2] :
( ? [X4,X3,X5] :
( X3 != X5
& ? [X6,X7] :
( in(ordered_pair(apply(X2,X7),apply(X2,X6)),X1)
& ordered_pair(X7,X6) = X5 )
& X4 = X5
& X3 = X4
& ? [X8,X9] :
( in(ordered_pair(apply(X2,X8),apply(X2,X9)),X1)
& ordered_pair(X8,X9) = X3 ) )
| ~ sP0(X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f38,plain,
! [X2,X1,X0] :
( ? [X10] :
! [X11] :
( ? [X12] :
( in(X12,cartesian_product2(X0,X0))
& X11 = X12
& ? [X13,X14] :
( ordered_pair(X14,X13) = X11
& in(ordered_pair(apply(X2,X14),apply(X2,X13)),X1) ) )
<=> in(X11,X10) )
| ? [X4,X3,X5] :
( X3 != X5
& ? [X6,X7] :
( in(ordered_pair(apply(X2,X7),apply(X2,X6)),X1)
& ordered_pair(X7,X6) = X5 )
& X4 = X5
& X3 = X4
& ? [X8,X9] :
( in(ordered_pair(apply(X2,X8),apply(X2,X9)),X1)
& ordered_pair(X8,X9) = X3 ) )
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ? [X10] :
! [X11] :
( ? [X12] :
( in(X12,cartesian_product2(X0,X0))
& X11 = X12
& ? [X13,X14] :
( ordered_pair(X14,X13) = X11
& in(ordered_pair(apply(X2,X14),apply(X2,X13)),X1) ) )
<=> in(X11,X10) )
| ? [X3,X4,X5] :
( X3 != X5
& ? [X8,X9] :
( in(ordered_pair(apply(X2,X8),apply(X2,X9)),X1)
& ordered_pair(X8,X9) = X3 )
& ? [X6,X7] :
( in(ordered_pair(apply(X2,X7),apply(X2,X6)),X1)
& ordered_pair(X7,X6) = X5 )
& X3 = X4
& X4 = X5 )
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X2,X0,X1] :
( ( function(X2)
& relation(X1)
& relation(X2) )
=> ( ! [X3,X4,X5] :
( ( ? [X8,X9] :
( in(ordered_pair(apply(X2,X8),apply(X2,X9)),X1)
& ordered_pair(X8,X9) = X3 )
& ? [X6,X7] :
( in(ordered_pair(apply(X2,X7),apply(X2,X6)),X1)
& ordered_pair(X7,X6) = X5 )
& X3 = X4
& X4 = X5 )
=> X3 = X5 )
=> ? [X10] :
! [X11] :
( ? [X12] :
( in(X12,cartesian_product2(X0,X0))
& X11 = X12
& ? [X13,X14] :
( ordered_pair(X14,X13) = X11
& in(ordered_pair(apply(X2,X14),apply(X2,X13)),X1) ) )
<=> in(X11,X10) ) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( function(X2)
& relation(X1)
& relation(X2) )
=> ( ! [X4,X3,X5] :
( ( ? [X9,X8] :
( in(ordered_pair(apply(X2,X8),apply(X2,X9)),X1)
& ordered_pair(X8,X9) = X5 )
& ? [X6,X7] :
( in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1)
& ordered_pair(X6,X7) = X4 )
& X3 = X5
& X3 = X4 )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( ? [X11,X10] :
( in(ordered_pair(apply(X2,X10),apply(X2,X11)),X1)
& ordered_pair(X10,X11) = X4 )
& X4 = X5
& in(X5,cartesian_product2(X0,X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_21__wellord2__1) ).
fof(f165,plain,
( in(sK22(sK9(sK19,sK21,sK20)),sK9(sK19,sK21,sK20))
| ~ spl26_2 ),
inference(factoring,[],[f160]) ).
fof(f160,plain,
( ! [X0] :
( in(sK22(X0),sK9(sK19,sK21,sK20))
| in(sK22(X0),X0) )
| ~ spl26_2 ),
inference(duplicate_literal_removal,[],[f158]) ).
fof(f158,plain,
( ! [X0] :
( in(sK22(X0),sK9(sK19,sK21,sK20))
| in(sK22(X0),X0)
| in(sK22(X0),X0) )
| ~ spl26_2 ),
inference(resolution,[],[f156,f124]) ).
fof(f124,plain,
! [X3] :
( in(sK22(X3),cartesian_product2(sK20,sK20))
| in(sK22(X3),X3) ),
inference(cnf_transformation,[],[f76]) ).
fof(f156,plain,
( ! [X0,X1] :
( ~ in(sK22(X0),cartesian_product2(X1,X1))
| in(sK22(X0),X0)
| in(sK22(X0),sK9(sK19,sK21,X1)) )
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl26_2
<=> ! [X0,X1] :
( ~ in(sK22(X0),cartesian_product2(X1,X1))
| in(sK22(X0),X0)
| in(sK22(X0),sK9(sK19,sK21,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).
fof(f243,plain,
( ordered_pair(sK12(sK19,sK21,sK22(sK9(sK19,sK21,sK20))),sK11(sK19,sK21,sK22(sK9(sK19,sK21,sK20)))) != sK22(sK9(sK19,sK21,sK20))
| spl26_1
| ~ spl26_2 ),
inference(resolution,[],[f234,f211]) ).
fof(f211,plain,
( in(ordered_pair(apply(sK19,sK12(sK19,sK21,sK22(sK9(sK19,sK21,sK20)))),apply(sK19,sK11(sK19,sK21,sK22(sK9(sK19,sK21,sK20))))),sK21)
| spl26_1
| ~ spl26_2 ),
inference(subsumption_resolution,[],[f210,f128]) ).
fof(f210,plain,
( in(ordered_pair(apply(sK19,sK12(sK19,sK21,sK22(sK9(sK19,sK21,sK20)))),apply(sK19,sK11(sK19,sK21,sK22(sK9(sK19,sK21,sK20))))),sK21)
| ~ relation(sK21)
| spl26_1
| ~ spl26_2 ),
inference(subsumption_resolution,[],[f209,f152]) ).
fof(f209,plain,
( sP0(sK21,sK19)
| in(ordered_pair(apply(sK19,sK12(sK19,sK21,sK22(sK9(sK19,sK21,sK20)))),apply(sK19,sK11(sK19,sK21,sK22(sK9(sK19,sK21,sK20))))),sK21)
| ~ relation(sK21)
| ~ spl26_2 ),
inference(subsumption_resolution,[],[f208,f122]) ).
fof(f208,plain,
( in(ordered_pair(apply(sK19,sK12(sK19,sK21,sK22(sK9(sK19,sK21,sK20)))),apply(sK19,sK11(sK19,sK21,sK22(sK9(sK19,sK21,sK20))))),sK21)
| ~ relation(sK19)
| ~ relation(sK21)
| sP0(sK21,sK19)
| ~ spl26_2 ),
inference(subsumption_resolution,[],[f202,f123]) ).
fof(f202,plain,
( ~ function(sK19)
| sP0(sK21,sK19)
| in(ordered_pair(apply(sK19,sK12(sK19,sK21,sK22(sK9(sK19,sK21,sK20)))),apply(sK19,sK11(sK19,sK21,sK22(sK9(sK19,sK21,sK20))))),sK21)
| ~ relation(sK19)
| ~ relation(sK21)
| ~ spl26_2 ),
inference(resolution,[],[f165,f90]) ).
fof(f90,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK9(X0,X1,X2))
| ~ function(X0)
| in(ordered_pair(apply(X0,sK12(X0,X1,X4)),apply(X0,sK11(X0,X1,X4))),X1)
| ~ relation(X0)
| sP0(X1,X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f234,plain,
( ! [X0,X1] :
( ~ in(ordered_pair(apply(sK19,X0),apply(sK19,X1)),sK21)
| ordered_pair(X0,X1) != sK22(sK9(sK19,sK21,sK20)) )
| spl26_1
| ~ spl26_2 ),
inference(subsumption_resolution,[],[f230,f165]) ).
fof(f230,plain,
( ! [X0,X1] :
( ~ in(sK22(sK9(sK19,sK21,sK20)),sK9(sK19,sK21,sK20))
| ~ in(ordered_pair(apply(sK19,X0),apply(sK19,X1)),sK21)
| ordered_pair(X0,X1) != sK22(sK9(sK19,sK21,sK20)) )
| spl26_1
| ~ spl26_2 ),
inference(resolution,[],[f221,f127]) ).
fof(f127,plain,
! [X3,X6,X5] :
( ~ in(sK22(X3),cartesian_product2(sK20,sK20))
| ~ in(sK22(X3),X3)
| ordered_pair(X6,X5) != sK22(X3)
| ~ in(ordered_pair(apply(sK19,X6),apply(sK19,X5)),sK21) ),
inference(cnf_transformation,[],[f76]) ).
fof(f221,plain,
( in(sK22(sK9(sK19,sK21,sK20)),cartesian_product2(sK20,sK20))
| spl26_1
| ~ spl26_2 ),
inference(subsumption_resolution,[],[f220,f165]) ).
fof(f220,plain,
( ~ in(sK22(sK9(sK19,sK21,sK20)),sK9(sK19,sK21,sK20))
| in(sK22(sK9(sK19,sK21,sK20)),cartesian_product2(sK20,sK20))
| spl26_1
| ~ spl26_2 ),
inference(subsumption_resolution,[],[f219,f128]) ).
fof(f219,plain,
( ~ relation(sK21)
| ~ in(sK22(sK9(sK19,sK21,sK20)),sK9(sK19,sK21,sK20))
| in(sK22(sK9(sK19,sK21,sK20)),cartesian_product2(sK20,sK20))
| spl26_1
| ~ spl26_2 ),
inference(subsumption_resolution,[],[f218,f152]) ).
fof(f218,plain,
( sP0(sK21,sK19)
| ~ in(sK22(sK9(sK19,sK21,sK20)),sK9(sK19,sK21,sK20))
| ~ relation(sK21)
| in(sK22(sK9(sK19,sK21,sK20)),cartesian_product2(sK20,sK20))
| spl26_1
| ~ spl26_2 ),
inference(subsumption_resolution,[],[f217,f123]) ).
fof(f217,plain,
( in(sK22(sK9(sK19,sK21,sK20)),cartesian_product2(sK20,sK20))
| ~ function(sK19)
| sP0(sK21,sK19)
| ~ relation(sK21)
| ~ in(sK22(sK9(sK19,sK21,sK20)),sK9(sK19,sK21,sK20))
| spl26_1
| ~ spl26_2 ),
inference(subsumption_resolution,[],[f216,f122]) ).
fof(f216,plain,
( ~ relation(sK19)
| ~ function(sK19)
| ~ relation(sK21)
| sP0(sK21,sK19)
| in(sK22(sK9(sK19,sK21,sK20)),cartesian_product2(sK20,sK20))
| ~ in(sK22(sK9(sK19,sK21,sK20)),sK9(sK19,sK21,sK20))
| spl26_1
| ~ spl26_2 ),
inference(superposition,[],[f93,f213]) ).
fof(f213,plain,
( sK22(sK9(sK19,sK21,sK20)) = sK10(sK19,sK21,sK20,sK22(sK9(sK19,sK21,sK20)))
| spl26_1
| ~ spl26_2 ),
inference(subsumption_resolution,[],[f212,f152]) ).
fof(f212,plain,
( sP0(sK21,sK19)
| sK22(sK9(sK19,sK21,sK20)) = sK10(sK19,sK21,sK20,sK22(sK9(sK19,sK21,sK20)))
| ~ spl26_2 ),
inference(subsumption_resolution,[],[f200,f128]) ).
fof(f200,plain,
( ~ relation(sK21)
| sP0(sK21,sK19)
| sK22(sK9(sK19,sK21,sK20)) = sK10(sK19,sK21,sK20,sK22(sK9(sK19,sK21,sK20)))
| ~ spl26_2 ),
inference(resolution,[],[f165,f134]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ in(X2,sK9(sK19,X0,X1))
| ~ relation(X0)
| sK10(sK19,X0,X1,X2) = X2
| sP0(X0,sK19) ),
inference(subsumption_resolution,[],[f133,f122]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ relation(sK19)
| ~ relation(X0)
| ~ in(X2,sK9(sK19,X0,X1))
| sK10(sK19,X0,X1,X2) = X2
| sP0(X0,sK19) ),
inference(resolution,[],[f123,f92]) ).
fof(f92,plain,
! [X2,X0,X1,X4] :
( ~ function(X0)
| ~ relation(X1)
| ~ relation(X0)
| sP0(X1,X0)
| sK10(X0,X1,X2,X4) = X4
| ~ in(X4,sK9(X0,X1,X2)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f93,plain,
! [X2,X0,X1,X4] :
( in(sK10(X0,X1,X2,X4),cartesian_product2(X2,X2))
| ~ relation(X1)
| sP0(X1,X0)
| ~ function(X0)
| ~ relation(X0)
| ~ in(X4,sK9(X0,X1,X2)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f196,plain,
~ spl26_1,
inference(avatar_contradiction_clause,[],[f195]) ).
fof(f195,plain,
( $false
| ~ spl26_1 ),
inference(subsumption_resolution,[],[f194,f153]) ).
fof(f153,plain,
( sP0(sK21,sK19)
| ~ spl26_1 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f194,plain,
( ~ sP0(sK21,sK19)
| ~ spl26_1 ),
inference(subsumption_resolution,[],[f193,f187]) ).
fof(f187,plain,
( sK2(sK21,sK19) = sK3(sK21,sK19)
| ~ spl26_1 ),
inference(resolution,[],[f153,f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sK2(X0,X1) = sK3(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( sK4(X0,X1) != sK3(X0,X1)
& in(ordered_pair(apply(X1,sK6(X0,X1)),apply(X1,sK5(X0,X1))),X0)
& ordered_pair(sK6(X0,X1),sK5(X0,X1)) = sK4(X0,X1)
& sK4(X0,X1) = sK2(X0,X1)
& sK2(X0,X1) = sK3(X0,X1)
& in(ordered_pair(apply(X1,sK7(X0,X1)),apply(X1,sK8(X0,X1))),X0)
& sK3(X0,X1) = ordered_pair(sK7(X0,X1),sK8(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f46,f49,f48,f47]) ).
fof(f47,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& ? [X5,X6] :
( in(ordered_pair(apply(X1,X6),apply(X1,X5)),X0)
& ordered_pair(X6,X5) = X4 )
& X2 = X4
& X2 = X3
& ? [X7,X8] :
( in(ordered_pair(apply(X1,X7),apply(X1,X8)),X0)
& ordered_pair(X7,X8) = X3 ) )
=> ( sK4(X0,X1) != sK3(X0,X1)
& ? [X6,X5] :
( in(ordered_pair(apply(X1,X6),apply(X1,X5)),X0)
& sK4(X0,X1) = ordered_pair(X6,X5) )
& sK4(X0,X1) = sK2(X0,X1)
& sK2(X0,X1) = sK3(X0,X1)
& ? [X8,X7] :
( in(ordered_pair(apply(X1,X7),apply(X1,X8)),X0)
& ordered_pair(X7,X8) = sK3(X0,X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0,X1] :
( ? [X6,X5] :
( in(ordered_pair(apply(X1,X6),apply(X1,X5)),X0)
& sK4(X0,X1) = ordered_pair(X6,X5) )
=> ( in(ordered_pair(apply(X1,sK6(X0,X1)),apply(X1,sK5(X0,X1))),X0)
& ordered_pair(sK6(X0,X1),sK5(X0,X1)) = sK4(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0,X1] :
( ? [X8,X7] :
( in(ordered_pair(apply(X1,X7),apply(X1,X8)),X0)
& ordered_pair(X7,X8) = sK3(X0,X1) )
=> ( in(ordered_pair(apply(X1,sK7(X0,X1)),apply(X1,sK8(X0,X1))),X0)
& sK3(X0,X1) = ordered_pair(sK7(X0,X1),sK8(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& ? [X5,X6] :
( in(ordered_pair(apply(X1,X6),apply(X1,X5)),X0)
& ordered_pair(X6,X5) = X4 )
& X2 = X4
& X2 = X3
& ? [X7,X8] :
( in(ordered_pair(apply(X1,X7),apply(X1,X8)),X0)
& ordered_pair(X7,X8) = X3 ) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X1,X2] :
( ? [X4,X3,X5] :
( X3 != X5
& ? [X6,X7] :
( in(ordered_pair(apply(X2,X7),apply(X2,X6)),X1)
& ordered_pair(X7,X6) = X5 )
& X4 = X5
& X3 = X4
& ? [X8,X9] :
( in(ordered_pair(apply(X2,X8),apply(X2,X9)),X1)
& ordered_pair(X8,X9) = X3 ) )
| ~ sP0(X1,X2) ),
inference(nnf_transformation,[],[f41]) ).
fof(f193,plain,
( sK2(sK21,sK19) != sK3(sK21,sK19)
| ~ sP0(sK21,sK19)
| ~ spl26_1 ),
inference(superposition,[],[f88,f190]) ).
fof(f190,plain,
( sK2(sK21,sK19) = sK4(sK21,sK19)
| ~ spl26_1 ),
inference(resolution,[],[f153,f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sK4(X0,X1) = sK2(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f88,plain,
! [X0,X1] :
( sK4(X0,X1) != sK3(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f157,plain,
( spl26_1
| spl26_2 ),
inference(avatar_split_clause,[],[f149,f155,f151]) ).
fof(f149,plain,
! [X0,X1] :
( ~ in(sK22(X0),cartesian_product2(X1,X1))
| in(sK22(X0),sK9(sK19,sK21,X1))
| in(sK22(X0),X0)
| sP0(sK21,sK19) ),
inference(subsumption_resolution,[],[f148,f122]) ).
fof(f148,plain,
! [X0,X1] :
( in(sK22(X0),sK9(sK19,sK21,X1))
| in(sK22(X0),X0)
| sP0(sK21,sK19)
| ~ relation(sK19)
| ~ in(sK22(X0),cartesian_product2(X1,X1)) ),
inference(subsumption_resolution,[],[f147,f123]) ).
fof(f147,plain,
! [X0,X1] :
( ~ function(sK19)
| in(sK22(X0),sK9(sK19,sK21,X1))
| sP0(sK21,sK19)
| in(sK22(X0),X0)
| ~ relation(sK19)
| ~ in(sK22(X0),cartesian_product2(X1,X1)) ),
inference(subsumption_resolution,[],[f146,f128]) ).
fof(f146,plain,
! [X0,X1] :
( sP0(sK21,sK19)
| ~ in(sK22(X0),cartesian_product2(X1,X1))
| ~ relation(sK21)
| in(sK22(X0),X0)
| ~ relation(sK19)
| in(sK22(X0),sK9(sK19,sK21,X1))
| ~ function(sK19) ),
inference(duplicate_literal_removal,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( sP0(sK21,sK19)
| ~ relation(sK19)
| in(sK22(X0),sK9(sK19,sK21,X1))
| in(sK22(X0),X0)
| ~ relation(sK21)
| ~ in(sK22(X0),cartesian_product2(X1,X1))
| ~ function(sK19)
| in(sK22(X0),X0) ),
inference(resolution,[],[f138,f125]) ).
fof(f125,plain,
! [X3] :
( in(ordered_pair(apply(sK19,sK24(X3)),apply(sK19,sK23(X3))),sK21)
| in(sK22(X3),X3) ),
inference(cnf_transformation,[],[f76]) ).
fof(f138,plain,
! [X2,X3,X1,X4] :
( ~ in(ordered_pair(apply(X3,sK24(X1)),apply(X3,sK23(X1))),X4)
| ~ relation(X4)
| ~ in(sK22(X1),cartesian_product2(X2,X2))
| ~ function(X3)
| ~ relation(X3)
| sP0(X4,X3)
| in(sK22(X1),X1)
| in(sK22(X1),sK9(X3,X4,X2)) ),
inference(superposition,[],[f132,f126]) ).
fof(f126,plain,
! [X3] :
( sK22(X3) = ordered_pair(sK24(X3),sK23(X3))
| in(sK22(X3),X3) ),
inference(cnf_transformation,[],[f76]) ).
fof(f132,plain,
! [X2,X10,X0,X1,X9] :
( ~ in(ordered_pair(X10,X9),cartesian_product2(X2,X2))
| ~ in(ordered_pair(apply(X0,X10),apply(X0,X9)),X1)
| sP0(X1,X0)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0)
| in(ordered_pair(X10,X9),sK9(X0,X1,X2)) ),
inference(equality_resolution,[],[f131]) ).
fof(f131,plain,
! [X2,X10,X0,X1,X8,X9] :
( in(X8,sK9(X0,X1,X2))
| ~ in(X8,cartesian_product2(X2,X2))
| ordered_pair(X10,X9) != X8
| ~ in(ordered_pair(apply(X0,X10),apply(X0,X9)),X1)
| sP0(X1,X0)
| ~ function(X0)
| ~ relation(X0)
| ~ relation(X1) ),
inference(equality_resolution,[],[f89]) ).
fof(f89,plain,
! [X2,X10,X0,X1,X8,X9,X4] :
( in(X4,sK9(X0,X1,X2))
| ~ in(X8,cartesian_product2(X2,X2))
| X4 != X8
| ordered_pair(X10,X9) != X4
| ~ in(ordered_pair(apply(X0,X10),apply(X0,X9)),X1)
| sP0(X1,X0)
| ~ function(X0)
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU277+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n005.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 15:02:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.50 % (13836)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.50 % (13820)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (13820)Refutation not found, incomplete strategy% (13820)------------------------------
% 0.19/0.50 % (13820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (13828)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (13820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (13820)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (13820)Memory used [KB]: 6012
% 0.19/0.51 % (13820)Time elapsed: 0.097 s
% 0.19/0.51 % (13820)Instructions burned: 4 (million)
% 0.19/0.51 % (13820)------------------------------
% 0.19/0.51 % (13820)------------------------------
% 0.19/0.52 % (13828)Refutation not found, incomplete strategy% (13828)------------------------------
% 0.19/0.52 % (13828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (13828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (13828)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (13828)Memory used [KB]: 6012
% 0.19/0.52 % (13828)Time elapsed: 0.108 s
% 0.19/0.52 % (13828)Instructions burned: 5 (million)
% 0.19/0.52 % (13828)------------------------------
% 0.19/0.52 % (13828)------------------------------
% 1.21/0.53 % (13810)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)
% 1.21/0.53 % (13807)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.21/0.53 % (13810)Refutation not found, incomplete strategy% (13810)------------------------------
% 1.21/0.53 % (13810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.21/0.53 % (13810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.21/0.53 % (13810)Termination reason: Refutation not found, incomplete strategy
% 1.21/0.53
% 1.21/0.53 % (13810)Memory used [KB]: 6012
% 1.21/0.53 % (13810)Time elapsed: 0.121 s
% 1.21/0.53 % (13810)Instructions burned: 4 (million)
% 1.21/0.53 % (13810)------------------------------
% 1.21/0.53 % (13810)------------------------------
% 1.21/0.54 % (13816)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)
% 1.21/0.54 % (13836)Instruction limit reached!
% 1.21/0.54 % (13836)------------------------------
% 1.21/0.54 % (13836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.21/0.54 % (13836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.21/0.54 % (13836)Termination reason: Unknown
% 1.21/0.54 % (13836)Termination phase: Saturation
% 1.21/0.54
% 1.21/0.54 % (13836)Memory used [KB]: 6268
% 1.21/0.54 % (13836)Time elapsed: 0.125 s
% 1.21/0.54 % (13836)Instructions burned: 24 (million)
% 1.21/0.54 % (13836)------------------------------
% 1.21/0.54 % (13836)------------------------------
% 1.21/0.54 % (13811)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)
% 1.21/0.54 % (13808)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)
% 1.21/0.54 % (13809)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.21/0.54 % (13824)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.46/0.54 % (13809)Instruction limit reached!
% 1.46/0.54 % (13809)------------------------------
% 1.46/0.54 % (13809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.54 % (13809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.54 % (13809)Termination reason: Unknown
% 1.46/0.54 % (13809)Termination phase: Saturation
% 1.46/0.54
% 1.46/0.54 % (13809)Memory used [KB]: 1407
% 1.46/0.54 % (13809)Time elapsed: 0.003 s
% 1.46/0.54 % (13809)Instructions burned: 3 (million)
% 1.46/0.54 % (13809)------------------------------
% 1.46/0.54 % (13809)------------------------------
% 1.46/0.54 % (13824)Instruction limit reached!
% 1.46/0.54 % (13824)------------------------------
% 1.46/0.54 % (13824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.54 % (13812)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)
% 1.46/0.54 % (13812)Refutation not found, incomplete strategy% (13812)------------------------------
% 1.46/0.54 % (13812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.54 % (13812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.54 % (13812)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.54
% 1.46/0.54 % (13812)Memory used [KB]: 1535
% 1.46/0.54 % (13812)Time elapsed: 0.132 s
% 1.46/0.54 % (13812)Instructions burned: 4 (million)
% 1.46/0.54 % (13812)------------------------------
% 1.46/0.54 % (13812)------------------------------
% 1.46/0.54 % (13826)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.46/0.54 % (13830)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)
% 1.46/0.54 % (13832)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.46/0.55 % (13817)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)
% 1.46/0.55 % (13825)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.46/0.55 % (13827)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.46/0.55 % (13808)Instruction limit reached!
% 1.46/0.55 % (13808)------------------------------
% 1.46/0.55 % (13808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55 % (13814)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)
% 1.46/0.55 % (13819)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)
% 1.46/0.55 % (13833)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)
% 1.46/0.55 % (13818)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.46/0.55 % (13834)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)
% 1.46/0.55 % (13835)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.46/0.56 % (13811)Instruction limit reached!
% 1.46/0.56 % (13811)------------------------------
% 1.46/0.56 % (13811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56 % (13811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56 % (13811)Termination reason: Unknown
% 1.46/0.56 % (13811)Termination phase: Saturation
% 1.46/0.56
% 1.46/0.56 % (13811)Memory used [KB]: 6140
% 1.46/0.56 % (13811)Time elapsed: 0.138 s
% 1.46/0.56 % (13811)Instructions burned: 14 (million)
% 1.46/0.56 % (13811)------------------------------
% 1.46/0.56 % (13811)------------------------------
% 1.46/0.56 % (13813)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)
% 1.46/0.56 % (13826)Refutation not found, incomplete strategy% (13826)------------------------------
% 1.46/0.56 % (13826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56 % (13826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56 % (13826)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.56
% 1.46/0.56 % (13826)Memory used [KB]: 6012
% 1.46/0.56 % (13826)Time elapsed: 0.135 s
% 1.46/0.56 % (13826)Instructions burned: 5 (million)
% 1.46/0.56 % (13826)------------------------------
% 1.46/0.56 % (13826)------------------------------
% 1.46/0.56 % (13831)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)
% 1.46/0.56 % (13829)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.46/0.56 % (13823)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)
% 1.46/0.56 % (13816)Refutation not found, incomplete strategy% (13816)------------------------------
% 1.46/0.56 % (13816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56 % (13816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56 % (13816)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.56
% 1.46/0.56 % (13816)Memory used [KB]: 6012
% 1.46/0.56 % (13816)Time elapsed: 0.145 s
% 1.46/0.56 % (13816)Instructions burned: 4 (million)
% 1.46/0.56 % (13816)------------------------------
% 1.46/0.56 % (13816)------------------------------
% 1.46/0.56 % (13817)Refutation not found, incomplete strategy% (13817)------------------------------
% 1.46/0.56 % (13817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56 % (13817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56 % (13817)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.56
% 1.46/0.56 % (13817)Memory used [KB]: 6012
% 1.46/0.56 % (13817)Time elapsed: 0.159 s
% 1.46/0.56 % (13817)Instructions burned: 5 (million)
% 1.46/0.56 % (13817)------------------------------
% 1.46/0.56 % (13817)------------------------------
% 1.46/0.56 % (13824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56 % (13824)Termination reason: Unknown
% 1.46/0.56 % (13824)Termination phase: Finite model building preprocessing
% 1.46/0.56
% 1.46/0.56 % (13824)Memory used [KB]: 1535
% 1.46/0.56 % (13824)Time elapsed: 0.003 s
% 1.46/0.56 % (13824)Instructions burned: 4 (million)
% 1.46/0.56 % (13824)------------------------------
% 1.46/0.56 % (13824)------------------------------
% 1.46/0.56 % (13825)Instruction limit reached!
% 1.46/0.56 % (13825)------------------------------
% 1.46/0.56 % (13825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56 % (13822)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.46/0.57 % (13818)Refutation not found, incomplete strategy% (13818)------------------------------
% 1.46/0.57 % (13818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.57 % (13825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.57 % (13825)Termination reason: Unknown
% 1.46/0.57 % (13825)Termination phase: Saturation
% 1.46/0.57
% 1.46/0.57 % (13825)Memory used [KB]: 1535
% 1.46/0.57 % (13825)Time elapsed: 0.004 s
% 1.46/0.57 % (13825)Instructions burned: 3 (million)
% 1.46/0.57 % (13825)------------------------------
% 1.46/0.57 % (13825)------------------------------
% 1.46/0.57 % (13815)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.46/0.57 % (13808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.57 % (13808)Termination reason: Unknown
% 1.46/0.57 % (13808)Termination phase: Saturation
% 1.46/0.57
% 1.46/0.57 % (13808)Memory used [KB]: 6140
% 1.46/0.57 % (13808)Time elapsed: 0.137 s
% 1.46/0.57 % (13808)Instructions burned: 13 (million)
% 1.46/0.57 % (13808)------------------------------
% 1.46/0.57 % (13808)------------------------------
% 1.46/0.57 % (13822)Instruction limit reached!
% 1.46/0.57 % (13822)------------------------------
% 1.46/0.57 % (13822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.57 % (13818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.57 % (13818)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.57
% 1.46/0.57 % (13822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.57 % (13818)Memory used [KB]: 6012
% 1.46/0.57 % (13822)Termination reason: Unknown
% 1.46/0.57 % (13818)Time elapsed: 0.157 s
% 1.46/0.57 % (13822)Termination phase: Saturation
% 1.46/0.57
% 1.46/0.57 % (13818)Instructions burned: 5 (million)
% 1.46/0.57 % (13818)------------------------------
% 1.46/0.57 % (13818)------------------------------
% 1.46/0.57 % (13822)Memory used [KB]: 6012
% 1.46/0.57 % (13822)Time elapsed: 0.124 s
% 1.46/0.57 % (13822)Instructions burned: 7 (million)
% 1.46/0.57 % (13822)------------------------------
% 1.46/0.57 % (13822)------------------------------
% 1.46/0.57 % (13821)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.46/0.57 % (13821)Instruction limit reached!
% 1.46/0.57 % (13821)------------------------------
% 1.46/0.57 % (13821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.57 % (13835)Instruction limit reached!
% 1.46/0.57 % (13835)------------------------------
% 1.46/0.57 % (13835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.57 % (13835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.57 % (13835)Termination reason: Unknown
% 1.46/0.57 % (13835)Termination phase: Saturation
% 1.46/0.57
% 1.46/0.57 % (13835)Memory used [KB]: 6140
% 1.46/0.57 % (13835)Time elapsed: 0.151 s
% 1.46/0.57 % (13835)Instructions burned: 8 (million)
% 1.46/0.57 % (13835)------------------------------
% 1.46/0.57 % (13835)------------------------------
% 1.46/0.57 % (13833)First to succeed.
% 1.46/0.57 % (13819)Instruction limit reached!
% 1.46/0.57 % (13819)------------------------------
% 1.46/0.57 % (13819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.57 % (13819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.57 % (13819)Termination reason: Unknown
% 1.46/0.57 % (13819)Termination phase: Saturation
% 1.46/0.57
% 1.46/0.57 % (13819)Memory used [KB]: 1791
% 1.46/0.57 % (13819)Time elapsed: 0.162 s
% 1.46/0.57 % (13819)Instructions burned: 17 (million)
% 1.46/0.57 % (13819)------------------------------
% 1.46/0.57 % (13819)------------------------------
% 1.46/0.58 % (13821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.58 % (13821)Termination reason: Unknown
% 1.46/0.58 % (13821)Termination phase: Saturation
% 1.46/0.58
% 1.46/0.58 % (13821)Memory used [KB]: 5884
% 1.46/0.58 % (13821)Time elapsed: 0.003 s
% 1.46/0.58 % (13821)Instructions burned: 3 (million)
% 1.46/0.58 % (13821)------------------------------
% 1.46/0.58 % (13821)------------------------------
% 1.46/0.58 % (13823)Also succeeded, but the first one will report.
% 1.46/0.58 % (13833)Refutation found. Thanks to Tanya!
% 1.46/0.58 % SZS status Theorem for theBenchmark
% 1.46/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.58 % (13833)------------------------------
% 1.46/0.58 % (13833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.58 % (13833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.58 % (13833)Termination reason: Refutation
% 1.46/0.58
% 1.46/0.58 % (13833)Memory used [KB]: 6268
% 1.46/0.58 % (13833)Time elapsed: 0.172 s
% 1.46/0.58 % (13833)Instructions burned: 9 (million)
% 1.46/0.58 % (13833)------------------------------
% 1.46/0.58 % (13833)------------------------------
% 1.46/0.58 % (13806)Success in time 0.218 s
%------------------------------------------------------------------------------