TSTP Solution File: SWW672_2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWW672_2 : TPTP v8.1.0. Released v6.1.0.
% 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 : n016.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 19:20:56 EDT 2022
% Result : Theorem 4.41s 1.40s
% Output : Refutation 4.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 91
% Syntax : Number of formulae : 135 ( 12 unt; 75 typ; 0 def)
% Number of atoms : 635 ( 214 equ)
% Maximal formula atoms : 60 ( 10 avg)
% Number of connectives : 776 ( 201 ~; 118 |; 354 &)
% ( 18 <=>; 85 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 12 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 110 ( 12 atm; 26 fun; 38 num; 34 var)
% Number of types : 8 ( 6 usr; 1 ari)
% Number of type conns : 107 ( 44 >; 63 *; 0 +; 0 <<)
% Number of predicates : 17 ( 13 usr; 3 prp; 0-6 aty)
% Number of functors : 61 ( 58 usr; 27 con; 0-4 aty)
% Number of variables : 382 ( 197 !; 185 ?; 382 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool1: $tType ).
tff(type_def_8,type,
tuple02: $tType ).
tff(type_def_9,type,
vertex1: $tType ).
tff(type_def_10,type,
set_vertex: $tType ).
tff(func_def_0,type,
witness1: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool: ty ).
tff(func_def_4,type,
true1: bool1 ).
tff(func_def_5,type,
false1: bool1 ).
tff(func_def_6,type,
match_bool1: ( ty * bool1 * uni * uni ) > uni ).
tff(func_def_7,type,
tuple0: ty ).
tff(func_def_8,type,
tuple03: tuple02 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
set: ty > ty ).
tff(func_def_13,type,
empty: ty > uni ).
tff(func_def_14,type,
add: ( ty * uni * uni ) > uni ).
tff(func_def_15,type,
remove: ( ty * uni * uni ) > uni ).
tff(func_def_16,type,
union: ( ty * uni * uni ) > uni ).
tff(func_def_17,type,
inter: ( ty * uni * uni ) > uni ).
tff(func_def_18,type,
diff: ( ty * uni * uni ) > uni ).
tff(func_def_19,type,
choose: ( ty * uni ) > uni ).
tff(func_def_20,type,
cardinal1: ( ty * uni ) > $int ).
tff(func_def_23,type,
vertex: ty ).
tff(func_def_24,type,
succ1: vertex1 > set_vertex ).
tff(func_def_25,type,
t2tb: set_vertex > uni ).
tff(func_def_26,type,
tb2t: uni > set_vertex ).
tff(func_def_27,type,
t2tb1: vertex1 > uni ).
tff(func_def_28,type,
tb2t1: uni > vertex1 ).
tff(func_def_29,type,
ref: ty > ty ).
tff(func_def_30,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_31,type,
contents: ( ty * uni ) > uni ).
tff(func_def_33,type,
sK2: set_vertex ).
tff(func_def_34,type,
sK3: set_vertex ).
tff(func_def_35,type,
sK4: vertex1 ).
tff(func_def_36,type,
sK5: $int ).
tff(func_def_37,type,
sK6: vertex1 ).
tff(func_def_38,type,
sK7: set_vertex ).
tff(func_def_39,type,
sK8: bool1 ).
tff(func_def_40,type,
sK9: vertex1 ).
tff(func_def_41,type,
sK10: set_vertex ).
tff(func_def_42,type,
sK11: set_vertex ).
tff(func_def_43,type,
sK12: set_vertex ).
tff(func_def_44,type,
sK13: bool1 ).
tff(func_def_45,type,
sK14: set_vertex ).
tff(func_def_46,type,
sK15: set_vertex ).
tff(func_def_47,type,
sK16: $int ).
tff(func_def_48,type,
sK17: vertex1 ).
tff(func_def_49,type,
sK18: ( set_vertex * vertex1 ) > vertex1 ).
tff(func_def_50,type,
sK19: ( uni * ty ) > uni ).
tff(func_def_51,type,
sK20: ( $int * vertex1 * vertex1 ) > $int ).
tff(func_def_52,type,
sK21: ( uni * uni * ty ) > uni ).
tff(func_def_53,type,
sK22: ( uni * ty * uni ) > uni ).
tff(func_def_54,type,
sK23: ( vertex1 * vertex1 * $int ) > $int ).
tff(func_def_55,type,
sK24: ( $int * vertex1 * vertex1 ) > vertex1 ).
tff(func_def_56,type,
sK25: set_vertex > vertex1 ).
tff(func_def_57,type,
sK26: set_vertex > vertex1 ).
tff(func_def_58,type,
sK27: ( $int * vertex1 * vertex1 ) > vertex1 ).
tff(func_def_59,type,
sK28: ( $int * vertex1 * vertex1 ) > vertex1 ).
tff(func_def_60,type,
sK29: ( $int * vertex1 * vertex1 ) > $int ).
tff(func_def_61,type,
sK30: ( $int * vertex1 * vertex1 ) > vertex1 ).
tff(func_def_62,type,
sK31: ( $int * vertex1 * vertex1 ) > vertex1 ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_3,type,
mem: ( ty * uni * uni ) > $o ).
tff(pred_def_4,type,
infix_eqeq: ( ty * uni * uni ) > $o ).
tff(pred_def_5,type,
subset: ( ty * uni * uni ) > $o ).
tff(pred_def_6,type,
is_empty: ( ty * uni ) > $o ).
tff(pred_def_7,type,
path1: ( vertex1 * vertex1 * $int ) > $o ).
tff(pred_def_8,type,
shortest_path1: ( vertex1 * vertex1 * $int ) > $o ).
tff(pred_def_10,type,
inv1: ( vertex1 * vertex1 * set_vertex * set_vertex * set_vertex * $int ) > $o ).
tff(pred_def_11,type,
closure1: ( set_vertex * set_vertex * set_vertex * vertex1 ) > $o ).
tff(pred_def_12,type,
sP0: ( $int * vertex1 * set_vertex ) > $o ).
tff(pred_def_13,type,
sP1: ( $int * vertex1 * vertex1 ) > $o ).
tff(f792,plain,
$false,
inference(avatar_sat_refutation,[],[f430,f433,f791]) ).
tff(f791,plain,
~ spl32_3,
inference(avatar_contradiction_clause,[],[f790]) ).
tff(f790,plain,
( $false
| ~ spl32_3 ),
inference(subsumption_resolution,[],[f774,f537]) ).
tff(f537,plain,
mem(vertex,t2tb1(sK18(sK12,sK17)),t2tb(succ1(sK17))),
inference(unit_resulting_resolution,[],[f439,f313]) ).
tff(f313,plain,
! [X2: vertex1,X3: set_vertex,X0: set_vertex,X1: set_vertex] :
( closure1(X1,X0,X3,X2)
| mem(vertex,t2tb1(sK18(X1,X2)),t2tb(succ1(X2))) ),
inference(cnf_transformation,[],[f209]) ).
tff(f209,plain,
! [X0: set_vertex,X1: set_vertex,X2: vertex1,X3: set_vertex] :
( ( mem(vertex,t2tb1(X2),t2tb(X3))
| ~ mem(vertex,t2tb1(X2),t2tb(X1))
| mem(vertex,t2tb1(X2),t2tb(X0))
| ! [X4: vertex1] :
( ~ mem(vertex,t2tb1(X4),t2tb(succ1(X2)))
| mem(vertex,t2tb1(X4),t2tb(X1)) )
| ~ closure1(X1,X0,X3,X2) )
& ( closure1(X1,X0,X3,X2)
| ( ~ mem(vertex,t2tb1(X2),t2tb(X3))
& mem(vertex,t2tb1(X2),t2tb(X1))
& ~ mem(vertex,t2tb1(X2),t2tb(X0))
& mem(vertex,t2tb1(sK18(X1,X2)),t2tb(succ1(X2)))
& ~ mem(vertex,t2tb1(sK18(X1,X2)),t2tb(X1)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f207,f208]) ).
tff(f208,plain,
! [X1: set_vertex,X2: vertex1] :
( ? [X5: vertex1] :
( mem(vertex,t2tb1(X5),t2tb(succ1(X2)))
& ~ mem(vertex,t2tb1(X5),t2tb(X1)) )
=> ( mem(vertex,t2tb1(sK18(X1,X2)),t2tb(succ1(X2)))
& ~ mem(vertex,t2tb1(sK18(X1,X2)),t2tb(X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f207,plain,
! [X0: set_vertex,X1: set_vertex,X2: vertex1,X3: set_vertex] :
( ( mem(vertex,t2tb1(X2),t2tb(X3))
| ~ mem(vertex,t2tb1(X2),t2tb(X1))
| mem(vertex,t2tb1(X2),t2tb(X0))
| ! [X4: vertex1] :
( ~ mem(vertex,t2tb1(X4),t2tb(succ1(X2)))
| mem(vertex,t2tb1(X4),t2tb(X1)) )
| ~ closure1(X1,X0,X3,X2) )
& ( closure1(X1,X0,X3,X2)
| ( ~ mem(vertex,t2tb1(X2),t2tb(X3))
& mem(vertex,t2tb1(X2),t2tb(X1))
& ~ mem(vertex,t2tb1(X2),t2tb(X0))
& ? [X5: vertex1] :
( mem(vertex,t2tb1(X5),t2tb(succ1(X2)))
& ~ mem(vertex,t2tb1(X5),t2tb(X1)) ) ) ) ),
inference(rectify,[],[f206]) ).
tff(f206,plain,
! [X1: set_vertex,X2: set_vertex,X0: vertex1,X3: set_vertex] :
( ( mem(vertex,t2tb1(X0),t2tb(X3))
| ~ mem(vertex,t2tb1(X0),t2tb(X2))
| mem(vertex,t2tb1(X0),t2tb(X1))
| ! [X4: vertex1] :
( ~ mem(vertex,t2tb1(X4),t2tb(succ1(X0)))
| mem(vertex,t2tb1(X4),t2tb(X2)) )
| ~ closure1(X2,X1,X3,X0) )
& ( closure1(X2,X1,X3,X0)
| ( ~ mem(vertex,t2tb1(X0),t2tb(X3))
& mem(vertex,t2tb1(X0),t2tb(X2))
& ~ mem(vertex,t2tb1(X0),t2tb(X1))
& ? [X4: vertex1] :
( mem(vertex,t2tb1(X4),t2tb(succ1(X0)))
& ~ mem(vertex,t2tb1(X4),t2tb(X2)) ) ) ) ),
inference(flattening,[],[f205]) ).
tff(f205,plain,
! [X1: set_vertex,X2: set_vertex,X0: vertex1,X3: set_vertex] :
( ( mem(vertex,t2tb1(X0),t2tb(X3))
| ~ mem(vertex,t2tb1(X0),t2tb(X2))
| mem(vertex,t2tb1(X0),t2tb(X1))
| ! [X4: vertex1] :
( ~ mem(vertex,t2tb1(X4),t2tb(succ1(X0)))
| mem(vertex,t2tb1(X4),t2tb(X2)) )
| ~ closure1(X2,X1,X3,X0) )
& ( closure1(X2,X1,X3,X0)
| ( ~ mem(vertex,t2tb1(X0),t2tb(X3))
& mem(vertex,t2tb1(X0),t2tb(X2))
& ~ mem(vertex,t2tb1(X0),t2tb(X1))
& ? [X4: vertex1] :
( mem(vertex,t2tb1(X4),t2tb(succ1(X0)))
& ~ mem(vertex,t2tb1(X4),t2tb(X2)) ) ) ) ),
inference(nnf_transformation,[],[f158]) ).
tff(f158,plain,
! [X1: set_vertex,X2: set_vertex,X0: vertex1,X3: set_vertex] :
( ( mem(vertex,t2tb1(X0),t2tb(X3))
| ~ mem(vertex,t2tb1(X0),t2tb(X2))
| mem(vertex,t2tb1(X0),t2tb(X1))
| ! [X4: vertex1] :
( ~ mem(vertex,t2tb1(X4),t2tb(succ1(X0)))
| mem(vertex,t2tb1(X4),t2tb(X2)) ) )
<=> closure1(X2,X1,X3,X0) ),
inference(flattening,[],[f157]) ).
tff(f157,plain,
! [X3: set_vertex,X1: set_vertex,X0: vertex1,X2: set_vertex] :
( closure1(X2,X1,X3,X0)
<=> ( ! [X4: vertex1] :
( ~ mem(vertex,t2tb1(X4),t2tb(succ1(X0)))
| mem(vertex,t2tb1(X4),t2tb(X2)) )
| mem(vertex,t2tb1(X0),t2tb(X3))
| mem(vertex,t2tb1(X0),t2tb(X1))
| ~ mem(vertex,t2tb1(X0),t2tb(X2)) ) ),
inference(ennf_transformation,[],[f86]) ).
tff(f86,plain,
! [X3: set_vertex,X1: set_vertex,X0: vertex1,X2: set_vertex] :
( closure1(X2,X1,X3,X0)
<=> ( mem(vertex,t2tb1(X0),t2tb(X2))
=> ( ~ mem(vertex,t2tb1(X0),t2tb(X1))
=> ( ~ mem(vertex,t2tb1(X0),t2tb(X3))
=> ! [X4: vertex1] :
( mem(vertex,t2tb1(X4),t2tb(succ1(X0)))
=> mem(vertex,t2tb1(X4),t2tb(X2)) ) ) ) ) ),
inference(rectify,[],[f58]) ).
tff(f58,axiom,
! [X1: vertex1,X23: set_vertex,X22: set_vertex,X24: set_vertex] :
( closure1(X22,X23,X24,X1)
<=> ( mem(vertex,t2tb1(X1),t2tb(X22))
=> ( ~ mem(vertex,t2tb1(X1),t2tb(X23))
=> ( ~ mem(vertex,t2tb1(X1),t2tb(X24))
=> ! [X7: vertex1] :
( mem(vertex,t2tb1(X7),t2tb(succ1(X1)))
=> mem(vertex,t2tb1(X7),t2tb(X22)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_def) ).
tff(f439,plain,
~ closure1(sK12,sK11,sK15,sK17),
inference(forward_demodulation,[],[f287,f286]) ).
tff(f286,plain,
sK14 = sK11,
inference(cnf_transformation,[],[f201]) ).
tff(f201,plain,
( ~ $less(sK5,0)
& ( ( true1 = sK8 )
| ~ is_empty(vertex,t2tb(sK3)) )
& ( is_empty(vertex,t2tb(sK3))
| ( true1 != sK8 ) )
& ! [X9: vertex1] :
( closure1(sK2,sK10,sK7,X9)
| ( sK9 = X9 ) )
& inv1(sK6,sK4,sK2,sK10,sK7,sK5)
& shortest_path1(sK6,sK9,sK5)
& ( sK10 = tb2t(remove(vertex,t2tb1(sK9),t2tb(sK3))) )
& ! [X12: vertex1] : closure1(sK12,sK10,sK11,X12)
& subset(vertex,t2tb(succ1(sK9)),t2tb(sK12))
& inv1(sK6,sK4,sK12,sK10,sK11,sK5)
& ( true1 = sK13 )
& ( tb2t(empty(vertex)) = sK15 )
& ( sK16 = $sum(sK5,1) )
& ~ closure1(sK12,sK14,sK15,sK17)
& ( sK14 = sK11 )
& ( ( true1 = sK13 )
| ~ is_empty(vertex,t2tb(sK10)) )
& ( is_empty(vertex,t2tb(sK10))
| ( true1 != sK13 ) )
& mem(vertex,t2tb1(sK9),t2tb(sK3))
& ( sK4 != sK9 )
& ~ is_empty(vertex,t2tb(sK3))
& ( true1 != sK8 )
& ! [X18: vertex1] : closure1(sK2,sK3,sK7,X18)
& inv1(sK6,sK4,sK2,sK3,sK7,sK5)
& ( is_empty(vertex,t2tb(sK7))
| ~ is_empty(vertex,t2tb(sK3)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17])],[f191,f200,f199,f198,f197,f196,f195,f194,f193,f192]) ).
tff(f192,plain,
( ? [X0: set_vertex,X1: set_vertex,X2: vertex1,X3: $int,X4: vertex1,X5: set_vertex] :
( ~ $less(X3,0)
& ? [X6: bool1] :
( ( ( true1 = X6 )
| ~ is_empty(vertex,t2tb(X1)) )
& ( is_empty(vertex,t2tb(X1))
| ( true1 != X6 ) )
& ? [X7: vertex1,X8: set_vertex] :
( ! [X9: vertex1] :
( closure1(X0,X8,X5,X9)
| ( X7 = X9 ) )
& inv1(X4,X2,X0,X8,X5,X3)
& shortest_path1(X4,X7,X3)
& ( tb2t(remove(vertex,t2tb1(X7),t2tb(X1))) = X8 )
& ? [X10: set_vertex,X11: set_vertex] :
( ! [X12: vertex1] : closure1(X11,X8,X10,X12)
& subset(vertex,t2tb(succ1(X7)),t2tb(X11))
& inv1(X4,X2,X11,X8,X10,X3)
& ? [X13: bool1] :
( ( true1 = X13 )
& ? [X14: set_vertex] :
( ? [X15: set_vertex] :
( ( tb2t(empty(vertex)) = X15 )
& ? [X16: $int] :
( ( $sum(X3,1) = X16 )
& ? [X17: vertex1] : ~ closure1(X11,X14,X15,X17) ) )
& ( X10 = X14 ) )
& ( ( true1 = X13 )
| ~ is_empty(vertex,t2tb(X8)) )
& ( is_empty(vertex,t2tb(X8))
| ( true1 != X13 ) ) ) )
& mem(vertex,t2tb1(X7),t2tb(X1))
& ( X2 != X7 ) )
& ~ is_empty(vertex,t2tb(X1))
& ( true1 != X6 ) )
& ! [X18: vertex1] : closure1(X0,X1,X5,X18)
& inv1(X4,X2,X0,X1,X5,X3)
& ( is_empty(vertex,t2tb(X5))
| ~ is_empty(vertex,t2tb(X1)) ) )
=> ( ~ $less(sK5,0)
& ? [X6: bool1] :
( ( ( true1 = X6 )
| ~ is_empty(vertex,t2tb(sK3)) )
& ( is_empty(vertex,t2tb(sK3))
| ( true1 != X6 ) )
& ? [X8: set_vertex,X7: vertex1] :
( ! [X9: vertex1] :
( closure1(sK2,X8,sK7,X9)
| ( X7 = X9 ) )
& inv1(sK6,sK4,sK2,X8,sK7,sK5)
& shortest_path1(sK6,X7,sK5)
& ( tb2t(remove(vertex,t2tb1(X7),t2tb(sK3))) = X8 )
& ? [X11: set_vertex,X10: set_vertex] :
( ! [X12: vertex1] : closure1(X11,X8,X10,X12)
& subset(vertex,t2tb(succ1(X7)),t2tb(X11))
& inv1(sK6,sK4,X11,X8,X10,sK5)
& ? [X13: bool1] :
( ( true1 = X13 )
& ? [X14: set_vertex] :
( ? [X15: set_vertex] :
( ( tb2t(empty(vertex)) = X15 )
& ? [X16: $int] :
( ( $sum(sK5,1) = X16 )
& ? [X17: vertex1] : ~ closure1(X11,X14,X15,X17) ) )
& ( X10 = X14 ) )
& ( ( true1 = X13 )
| ~ is_empty(vertex,t2tb(X8)) )
& ( is_empty(vertex,t2tb(X8))
| ( true1 != X13 ) ) ) )
& mem(vertex,t2tb1(X7),t2tb(sK3))
& ( sK4 != X7 ) )
& ~ is_empty(vertex,t2tb(sK3))
& ( true1 != X6 ) )
& ! [X18: vertex1] : closure1(sK2,sK3,sK7,X18)
& inv1(sK6,sK4,sK2,sK3,sK7,sK5)
& ( is_empty(vertex,t2tb(sK7))
| ~ is_empty(vertex,t2tb(sK3)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f193,plain,
( ? [X6: bool1] :
( ( ( true1 = X6 )
| ~ is_empty(vertex,t2tb(sK3)) )
& ( is_empty(vertex,t2tb(sK3))
| ( true1 != X6 ) )
& ? [X8: set_vertex,X7: vertex1] :
( ! [X9: vertex1] :
( closure1(sK2,X8,sK7,X9)
| ( X7 = X9 ) )
& inv1(sK6,sK4,sK2,X8,sK7,sK5)
& shortest_path1(sK6,X7,sK5)
& ( tb2t(remove(vertex,t2tb1(X7),t2tb(sK3))) = X8 )
& ? [X11: set_vertex,X10: set_vertex] :
( ! [X12: vertex1] : closure1(X11,X8,X10,X12)
& subset(vertex,t2tb(succ1(X7)),t2tb(X11))
& inv1(sK6,sK4,X11,X8,X10,sK5)
& ? [X13: bool1] :
( ( true1 = X13 )
& ? [X14: set_vertex] :
( ? [X15: set_vertex] :
( ( tb2t(empty(vertex)) = X15 )
& ? [X16: $int] :
( ( $sum(sK5,1) = X16 )
& ? [X17: vertex1] : ~ closure1(X11,X14,X15,X17) ) )
& ( X10 = X14 ) )
& ( ( true1 = X13 )
| ~ is_empty(vertex,t2tb(X8)) )
& ( is_empty(vertex,t2tb(X8))
| ( true1 != X13 ) ) ) )
& mem(vertex,t2tb1(X7),t2tb(sK3))
& ( sK4 != X7 ) )
& ~ is_empty(vertex,t2tb(sK3))
& ( true1 != X6 ) )
=> ( ( ( true1 = sK8 )
| ~ is_empty(vertex,t2tb(sK3)) )
& ( is_empty(vertex,t2tb(sK3))
| ( true1 != sK8 ) )
& ? [X8: set_vertex,X7: vertex1] :
( ! [X9: vertex1] :
( closure1(sK2,X8,sK7,X9)
| ( X7 = X9 ) )
& inv1(sK6,sK4,sK2,X8,sK7,sK5)
& shortest_path1(sK6,X7,sK5)
& ( tb2t(remove(vertex,t2tb1(X7),t2tb(sK3))) = X8 )
& ? [X11: set_vertex,X10: set_vertex] :
( ! [X12: vertex1] : closure1(X11,X8,X10,X12)
& subset(vertex,t2tb(succ1(X7)),t2tb(X11))
& inv1(sK6,sK4,X11,X8,X10,sK5)
& ? [X13: bool1] :
( ( true1 = X13 )
& ? [X14: set_vertex] :
( ? [X15: set_vertex] :
( ( tb2t(empty(vertex)) = X15 )
& ? [X16: $int] :
( ( $sum(sK5,1) = X16 )
& ? [X17: vertex1] : ~ closure1(X11,X14,X15,X17) ) )
& ( X10 = X14 ) )
& ( ( true1 = X13 )
| ~ is_empty(vertex,t2tb(X8)) )
& ( is_empty(vertex,t2tb(X8))
| ( true1 != X13 ) ) ) )
& mem(vertex,t2tb1(X7),t2tb(sK3))
& ( sK4 != X7 ) )
& ~ is_empty(vertex,t2tb(sK3))
& ( true1 != sK8 ) ) ),
introduced(choice_axiom,[]) ).
tff(f194,plain,
( ? [X8: set_vertex,X7: vertex1] :
( ! [X9: vertex1] :
( closure1(sK2,X8,sK7,X9)
| ( X7 = X9 ) )
& inv1(sK6,sK4,sK2,X8,sK7,sK5)
& shortest_path1(sK6,X7,sK5)
& ( tb2t(remove(vertex,t2tb1(X7),t2tb(sK3))) = X8 )
& ? [X11: set_vertex,X10: set_vertex] :
( ! [X12: vertex1] : closure1(X11,X8,X10,X12)
& subset(vertex,t2tb(succ1(X7)),t2tb(X11))
& inv1(sK6,sK4,X11,X8,X10,sK5)
& ? [X13: bool1] :
( ( true1 = X13 )
& ? [X14: set_vertex] :
( ? [X15: set_vertex] :
( ( tb2t(empty(vertex)) = X15 )
& ? [X16: $int] :
( ( $sum(sK5,1) = X16 )
& ? [X17: vertex1] : ~ closure1(X11,X14,X15,X17) ) )
& ( X10 = X14 ) )
& ( ( true1 = X13 )
| ~ is_empty(vertex,t2tb(X8)) )
& ( is_empty(vertex,t2tb(X8))
| ( true1 != X13 ) ) ) )
& mem(vertex,t2tb1(X7),t2tb(sK3))
& ( sK4 != X7 ) )
=> ( ! [X9: vertex1] :
( closure1(sK2,sK10,sK7,X9)
| ( sK9 = X9 ) )
& inv1(sK6,sK4,sK2,sK10,sK7,sK5)
& shortest_path1(sK6,sK9,sK5)
& ( sK10 = tb2t(remove(vertex,t2tb1(sK9),t2tb(sK3))) )
& ? [X11: set_vertex,X10: set_vertex] :
( ! [X12: vertex1] : closure1(X11,sK10,X10,X12)
& subset(vertex,t2tb(succ1(sK9)),t2tb(X11))
& inv1(sK6,sK4,X11,sK10,X10,sK5)
& ? [X13: bool1] :
( ( true1 = X13 )
& ? [X14: set_vertex] :
( ? [X15: set_vertex] :
( ( tb2t(empty(vertex)) = X15 )
& ? [X16: $int] :
( ( $sum(sK5,1) = X16 )
& ? [X17: vertex1] : ~ closure1(X11,X14,X15,X17) ) )
& ( X10 = X14 ) )
& ( ( true1 = X13 )
| ~ is_empty(vertex,t2tb(sK10)) )
& ( is_empty(vertex,t2tb(sK10))
| ( true1 != X13 ) ) ) )
& mem(vertex,t2tb1(sK9),t2tb(sK3))
& ( sK4 != sK9 ) ) ),
introduced(choice_axiom,[]) ).
tff(f195,plain,
( ? [X11: set_vertex,X10: set_vertex] :
( ! [X12: vertex1] : closure1(X11,sK10,X10,X12)
& subset(vertex,t2tb(succ1(sK9)),t2tb(X11))
& inv1(sK6,sK4,X11,sK10,X10,sK5)
& ? [X13: bool1] :
( ( true1 = X13 )
& ? [X14: set_vertex] :
( ? [X15: set_vertex] :
( ( tb2t(empty(vertex)) = X15 )
& ? [X16: $int] :
( ( $sum(sK5,1) = X16 )
& ? [X17: vertex1] : ~ closure1(X11,X14,X15,X17) ) )
& ( X10 = X14 ) )
& ( ( true1 = X13 )
| ~ is_empty(vertex,t2tb(sK10)) )
& ( is_empty(vertex,t2tb(sK10))
| ( true1 != X13 ) ) ) )
=> ( ! [X12: vertex1] : closure1(sK12,sK10,sK11,X12)
& subset(vertex,t2tb(succ1(sK9)),t2tb(sK12))
& inv1(sK6,sK4,sK12,sK10,sK11,sK5)
& ? [X13: bool1] :
( ( true1 = X13 )
& ? [X14: set_vertex] :
( ? [X15: set_vertex] :
( ( tb2t(empty(vertex)) = X15 )
& ? [X16: $int] :
( ( $sum(sK5,1) = X16 )
& ? [X17: vertex1] : ~ closure1(sK12,X14,X15,X17) ) )
& ( sK11 = X14 ) )
& ( ( true1 = X13 )
| ~ is_empty(vertex,t2tb(sK10)) )
& ( is_empty(vertex,t2tb(sK10))
| ( true1 != X13 ) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f196,plain,
( ? [X13: bool1] :
( ( true1 = X13 )
& ? [X14: set_vertex] :
( ? [X15: set_vertex] :
( ( tb2t(empty(vertex)) = X15 )
& ? [X16: $int] :
( ( $sum(sK5,1) = X16 )
& ? [X17: vertex1] : ~ closure1(sK12,X14,X15,X17) ) )
& ( sK11 = X14 ) )
& ( ( true1 = X13 )
| ~ is_empty(vertex,t2tb(sK10)) )
& ( is_empty(vertex,t2tb(sK10))
| ( true1 != X13 ) ) )
=> ( ( true1 = sK13 )
& ? [X14: set_vertex] :
( ? [X15: set_vertex] :
( ( tb2t(empty(vertex)) = X15 )
& ? [X16: $int] :
( ( $sum(sK5,1) = X16 )
& ? [X17: vertex1] : ~ closure1(sK12,X14,X15,X17) ) )
& ( sK11 = X14 ) )
& ( ( true1 = sK13 )
| ~ is_empty(vertex,t2tb(sK10)) )
& ( is_empty(vertex,t2tb(sK10))
| ( true1 != sK13 ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f197,plain,
( ? [X14: set_vertex] :
( ? [X15: set_vertex] :
( ( tb2t(empty(vertex)) = X15 )
& ? [X16: $int] :
( ( $sum(sK5,1) = X16 )
& ? [X17: vertex1] : ~ closure1(sK12,X14,X15,X17) ) )
& ( sK11 = X14 ) )
=> ( ? [X15: set_vertex] :
( ( tb2t(empty(vertex)) = X15 )
& ? [X16: $int] :
( ( $sum(sK5,1) = X16 )
& ? [X17: vertex1] : ~ closure1(sK12,sK14,X15,X17) ) )
& ( sK14 = sK11 ) ) ),
introduced(choice_axiom,[]) ).
tff(f198,plain,
( ? [X15: set_vertex] :
( ( tb2t(empty(vertex)) = X15 )
& ? [X16: $int] :
( ( $sum(sK5,1) = X16 )
& ? [X17: vertex1] : ~ closure1(sK12,sK14,X15,X17) ) )
=> ( ( tb2t(empty(vertex)) = sK15 )
& ? [X16: $int] :
( ( $sum(sK5,1) = X16 )
& ? [X17: vertex1] : ~ closure1(sK12,sK14,sK15,X17) ) ) ),
introduced(choice_axiom,[]) ).
tff(f199,plain,
( ? [X16: $int] :
( ( $sum(sK5,1) = X16 )
& ? [X17: vertex1] : ~ closure1(sK12,sK14,sK15,X17) )
=> ( ( sK16 = $sum(sK5,1) )
& ? [X17: vertex1] : ~ closure1(sK12,sK14,sK15,X17) ) ),
introduced(choice_axiom,[]) ).
tff(f200,plain,
( ? [X17: vertex1] : ~ closure1(sK12,sK14,sK15,X17)
=> ~ closure1(sK12,sK14,sK15,sK17) ),
introduced(choice_axiom,[]) ).
tff(f191,plain,
? [X0: set_vertex,X1: set_vertex,X2: vertex1,X3: $int,X4: vertex1,X5: set_vertex] :
( ~ $less(X3,0)
& ? [X6: bool1] :
( ( ( true1 = X6 )
| ~ is_empty(vertex,t2tb(X1)) )
& ( is_empty(vertex,t2tb(X1))
| ( true1 != X6 ) )
& ? [X7: vertex1,X8: set_vertex] :
( ! [X9: vertex1] :
( closure1(X0,X8,X5,X9)
| ( X7 = X9 ) )
& inv1(X4,X2,X0,X8,X5,X3)
& shortest_path1(X4,X7,X3)
& ( tb2t(remove(vertex,t2tb1(X7),t2tb(X1))) = X8 )
& ? [X10: set_vertex,X11: set_vertex] :
( ! [X12: vertex1] : closure1(X11,X8,X10,X12)
& subset(vertex,t2tb(succ1(X7)),t2tb(X11))
& inv1(X4,X2,X11,X8,X10,X3)
& ? [X13: bool1] :
( ( true1 = X13 )
& ? [X14: set_vertex] :
( ? [X15: set_vertex] :
( ( tb2t(empty(vertex)) = X15 )
& ? [X16: $int] :
( ( $sum(X3,1) = X16 )
& ? [X17: vertex1] : ~ closure1(X11,X14,X15,X17) ) )
& ( X10 = X14 ) )
& ( ( true1 = X13 )
| ~ is_empty(vertex,t2tb(X8)) )
& ( is_empty(vertex,t2tb(X8))
| ( true1 != X13 ) ) ) )
& mem(vertex,t2tb1(X7),t2tb(X1))
& ( X2 != X7 ) )
& ~ is_empty(vertex,t2tb(X1))
& ( true1 != X6 ) )
& ! [X18: vertex1] : closure1(X0,X1,X5,X18)
& inv1(X4,X2,X0,X1,X5,X3)
& ( is_empty(vertex,t2tb(X5))
| ~ is_empty(vertex,t2tb(X1)) ) ),
inference(rectify,[],[f190]) ).
tff(f190,plain,
? [X5: set_vertex,X1: set_vertex,X4: vertex1,X0: $int,X2: vertex1,X3: set_vertex] :
( ~ $less(X0,0)
& ? [X7: bool1] :
( ( ( true1 = X7 )
| ~ is_empty(vertex,t2tb(X1)) )
& ( is_empty(vertex,t2tb(X1))
| ( true1 != X7 ) )
& ? [X8: vertex1,X9: set_vertex] :
( ! [X10: vertex1] :
( closure1(X5,X9,X3,X10)
| ( X8 = X10 ) )
& inv1(X2,X4,X5,X9,X3,X0)
& shortest_path1(X2,X8,X0)
& ( tb2t(remove(vertex,t2tb1(X8),t2tb(X1))) = X9 )
& ? [X11: set_vertex,X12: set_vertex] :
( ! [X13: vertex1] : closure1(X12,X9,X11,X13)
& subset(vertex,t2tb(succ1(X8)),t2tb(X12))
& inv1(X2,X4,X12,X9,X11,X0)
& ? [X14: bool1] :
( ( true1 = X14 )
& ? [X15: set_vertex] :
( ? [X16: set_vertex] :
( ( tb2t(empty(vertex)) = X16 )
& ? [X17: $int] :
( ( $sum(X0,1) = X17 )
& ? [X18: vertex1] : ~ closure1(X12,X15,X16,X18) ) )
& ( X11 = X15 ) )
& ( ( true1 = X14 )
| ~ is_empty(vertex,t2tb(X9)) )
& ( is_empty(vertex,t2tb(X9))
| ( true1 != X14 ) ) ) )
& mem(vertex,t2tb1(X8),t2tb(X1))
& ( X4 != X8 ) )
& ~ is_empty(vertex,t2tb(X1))
& ( true1 != X7 ) )
& ! [X6: vertex1] : closure1(X5,X1,X3,X6)
& inv1(X2,X4,X5,X1,X3,X0)
& ( is_empty(vertex,t2tb(X3))
| ~ is_empty(vertex,t2tb(X1)) ) ),
inference(flattening,[],[f189]) ).
tff(f189,plain,
? [X5: set_vertex,X1: set_vertex,X4: vertex1,X0: $int,X2: vertex1,X3: set_vertex] :
( ~ $less(X0,0)
& ? [X7: bool1] :
( ( ( true1 = X7 )
| ~ is_empty(vertex,t2tb(X1)) )
& ( is_empty(vertex,t2tb(X1))
| ( true1 != X7 ) )
& ? [X8: vertex1,X9: set_vertex] :
( ! [X10: vertex1] :
( closure1(X5,X9,X3,X10)
| ( X8 = X10 ) )
& inv1(X2,X4,X5,X9,X3,X0)
& shortest_path1(X2,X8,X0)
& ( tb2t(remove(vertex,t2tb1(X8),t2tb(X1))) = X9 )
& ? [X11: set_vertex,X12: set_vertex] :
( ! [X13: vertex1] : closure1(X12,X9,X11,X13)
& subset(vertex,t2tb(succ1(X8)),t2tb(X12))
& inv1(X2,X4,X12,X9,X11,X0)
& ? [X14: bool1] :
( ( true1 = X14 )
& ? [X15: set_vertex] :
( ? [X16: set_vertex] :
( ( tb2t(empty(vertex)) = X16 )
& ? [X17: $int] :
( ( $sum(X0,1) = X17 )
& ? [X18: vertex1] : ~ closure1(X12,X15,X16,X18) ) )
& ( X11 = X15 ) )
& ( ( true1 = X14 )
| ~ is_empty(vertex,t2tb(X9)) )
& ( is_empty(vertex,t2tb(X9))
| ( true1 != X14 ) ) ) )
& mem(vertex,t2tb1(X8),t2tb(X1))
& ( X4 != X8 ) )
& ~ is_empty(vertex,t2tb(X1))
& ( true1 != X7 ) )
& ! [X6: vertex1] : closure1(X5,X1,X3,X6)
& inv1(X2,X4,X5,X1,X3,X0)
& ( is_empty(vertex,t2tb(X3))
| ~ is_empty(vertex,t2tb(X1)) ) ),
inference(nnf_transformation,[],[f177]) ).
tff(f177,plain,
? [X5: set_vertex,X1: set_vertex,X4: vertex1,X0: $int,X2: vertex1,X3: set_vertex] :
( ~ $less(X0,0)
& ? [X7: bool1] :
( ( ( true1 = X7 )
<=> is_empty(vertex,t2tb(X1)) )
& ? [X8: vertex1,X9: set_vertex] :
( ! [X10: vertex1] :
( closure1(X5,X9,X3,X10)
| ( X8 = X10 ) )
& inv1(X2,X4,X5,X9,X3,X0)
& shortest_path1(X2,X8,X0)
& ( tb2t(remove(vertex,t2tb1(X8),t2tb(X1))) = X9 )
& ? [X11: set_vertex,X12: set_vertex] :
( ! [X13: vertex1] : closure1(X12,X9,X11,X13)
& subset(vertex,t2tb(succ1(X8)),t2tb(X12))
& inv1(X2,X4,X12,X9,X11,X0)
& ? [X14: bool1] :
( ( true1 = X14 )
& ? [X15: set_vertex] :
( ? [X16: set_vertex] :
( ( tb2t(empty(vertex)) = X16 )
& ? [X17: $int] :
( ( $sum(X0,1) = X17 )
& ? [X18: vertex1] : ~ closure1(X12,X15,X16,X18) ) )
& ( X11 = X15 ) )
& ( ( true1 = X14 )
<=> is_empty(vertex,t2tb(X9)) ) ) )
& mem(vertex,t2tb1(X8),t2tb(X1))
& ( X4 != X8 ) )
& ~ is_empty(vertex,t2tb(X1))
& ( true1 != X7 ) )
& ! [X6: vertex1] : closure1(X5,X1,X3,X6)
& inv1(X2,X4,X5,X1,X3,X0)
& ( is_empty(vertex,t2tb(X3))
| ~ is_empty(vertex,t2tb(X1)) ) ),
inference(flattening,[],[f176]) ).
tff(f176,plain,
? [X5: set_vertex,X4: vertex1,X2: vertex1,X0: $int,X1: set_vertex,X3: set_vertex] :
( ? [X7: bool1] :
( ? [X9: set_vertex,X8: vertex1] :
( ? [X12: set_vertex,X11: set_vertex] :
( ? [X14: bool1] :
( ? [X15: set_vertex] :
( ? [X16: set_vertex] :
( ( tb2t(empty(vertex)) = X16 )
& ? [X17: $int] :
( ( $sum(X0,1) = X17 )
& ? [X18: vertex1] : ~ closure1(X12,X15,X16,X18) ) )
& ( X11 = X15 ) )
& ( true1 = X14 )
& ( ( true1 = X14 )
<=> is_empty(vertex,t2tb(X9)) ) )
& subset(vertex,t2tb(succ1(X8)),t2tb(X12))
& inv1(X2,X4,X12,X9,X11,X0)
& ! [X13: vertex1] : closure1(X12,X9,X11,X13) )
& inv1(X2,X4,X5,X9,X3,X0)
& ! [X10: vertex1] :
( closure1(X5,X9,X3,X10)
| ( X8 = X10 ) )
& shortest_path1(X2,X8,X0)
& ( X4 != X8 )
& ( tb2t(remove(vertex,t2tb1(X8),t2tb(X1))) = X9 )
& mem(vertex,t2tb1(X8),t2tb(X1)) )
& ~ is_empty(vertex,t2tb(X1))
& ( true1 != X7 )
& ( ( true1 = X7 )
<=> is_empty(vertex,t2tb(X1)) ) )
& ~ $less(X0,0)
& inv1(X2,X4,X5,X1,X3,X0)
& ( is_empty(vertex,t2tb(X3))
| ~ is_empty(vertex,t2tb(X1)) )
& ! [X6: vertex1] : closure1(X5,X1,X3,X6) ),
inference(ennf_transformation,[],[f96]) ).
tff(f96,plain,
~ ! [X5: set_vertex,X4: vertex1,X2: vertex1,X0: $int,X1: set_vertex,X3: set_vertex] :
( ( ~ $less(X0,0)
& inv1(X2,X4,X5,X1,X3,X0)
& ( is_empty(vertex,t2tb(X1))
=> is_empty(vertex,t2tb(X3)) )
& ! [X6: vertex1] : closure1(X5,X1,X3,X6) )
=> ! [X7: bool1] :
( ( ( true1 = X7 )
<=> is_empty(vertex,t2tb(X1)) )
=> ( ( true1 != X7 )
=> ( ~ is_empty(vertex,t2tb(X1))
=> ! [X9: set_vertex,X8: vertex1] :
( ( ( tb2t(remove(vertex,t2tb1(X8),t2tb(X1))) = X9 )
& mem(vertex,t2tb1(X8),t2tb(X1)) )
=> ( ( X4 != X8 )
=> ( ( inv1(X2,X4,X5,X9,X3,X0)
& ! [X10: vertex1] :
( ( X8 != X10 )
=> closure1(X5,X9,X3,X10) )
& shortest_path1(X2,X8,X0) )
=> ! [X12: set_vertex,X11: set_vertex] :
( ( subset(vertex,t2tb(succ1(X8)),t2tb(X12))
& inv1(X2,X4,X12,X9,X11,X0)
& ! [X13: vertex1] : closure1(X12,X9,X11,X13) )
=> ! [X14: bool1] :
( ( ( true1 = X14 )
<=> is_empty(vertex,t2tb(X9)) )
=> ( ( true1 = X14 )
=> ! [X15: set_vertex] :
( ( X11 = X15 )
=> ! [X16: set_vertex] :
( ( tb2t(empty(vertex)) = X16 )
=> ! [X17: $int] :
( ( $sum(X0,1) = X17 )
=> ! [X18: vertex1] : closure1(X12,X15,X16,X18) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f61]) ).
tff(f61,plain,
~ ! [X25: $int,X23: set_vertex,X10: vertex1,X24: set_vertex,X21: vertex1,X22: set_vertex] :
( ( ( is_empty(vertex,t2tb(X23))
=> is_empty(vertex,t2tb(X24)) )
& inv1(X10,X21,X22,X23,X24,X25)
& ! [X1: vertex1] : closure1(X22,X23,X24,X1)
& ~ $less(X25,0) )
=> ! [X26: bool1] :
( ( ( true1 = X26 )
<=> is_empty(vertex,t2tb(X23)) )
=> ( ( true1 != X26 )
=> ( ~ is_empty(vertex,t2tb(X23))
=> ! [X12: vertex1,X27: set_vertex] :
( ( ( tb2t(remove(vertex,t2tb1(X12),t2tb(X23))) = X27 )
& mem(vertex,t2tb1(X12),t2tb(X23)) )
=> ( ( X12 != X21 )
=> ( ( ! [X1: vertex1] :
( ( X1 != X12 )
=> closure1(X22,X27,X24,X1) )
& inv1(X10,X21,X22,X27,X24,X25)
& shortest_path1(X10,X12,X25) )
=> ! [X28: set_vertex,X29: set_vertex] :
( ( subset(vertex,t2tb(succ1(X12)),t2tb(X29))
& ! [X1: vertex1] : closure1(X29,X27,X28,X1)
& inv1(X10,X21,X29,X27,X28,X25) )
=> ! [X30: bool1] :
( ( is_empty(vertex,t2tb(X27))
<=> ( true1 = X30 ) )
=> ( ( true1 = X30 )
=> ! [X31: set_vertex] :
( ( X28 = X31 )
=> ! [X32: set_vertex] :
( ( tb2t(empty(vertex)) = X32 )
=> ! [X33: $int] :
( ( $sum(X25,1) = X33 )
=> ! [X1: vertex1] : closure1(X29,X31,X32,X1) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f60]) ).
tff(f60,negated_conjecture,
~ ! [X25: $int,X23: set_vertex,X10: vertex1,X24: set_vertex,X21: vertex1,X22: set_vertex] :
( ( ( is_empty(vertex,t2tb(X23))
=> is_empty(vertex,t2tb(X24)) )
& inv1(X10,X21,X22,X23,X24,X25)
& ! [X1: vertex1] : closure1(X22,X23,X24,X1)
& $lesseq(0,X25) )
=> ! [X26: bool1] :
( ( ( true1 = X26 )
<=> is_empty(vertex,t2tb(X23)) )
=> ( ( true1 != X26 )
=> ( ~ is_empty(vertex,t2tb(X23))
=> ! [X12: vertex1,X27: set_vertex] :
( ( ( tb2t(remove(vertex,t2tb1(X12),t2tb(X23))) = X27 )
& mem(vertex,t2tb1(X12),t2tb(X23)) )
=> ( ( X12 != X21 )
=> ( ( ! [X1: vertex1] :
( ( X1 != X12 )
=> closure1(X22,X27,X24,X1) )
& inv1(X10,X21,X22,X27,X24,X25)
& shortest_path1(X10,X12,X25) )
=> ! [X28: set_vertex,X29: set_vertex] :
( ( subset(vertex,t2tb(succ1(X12)),t2tb(X29))
& ! [X1: vertex1] : closure1(X29,X27,X28,X1)
& inv1(X10,X21,X29,X27,X28,X25) )
=> ! [X30: bool1] :
( ( is_empty(vertex,t2tb(X27))
<=> ( true1 = X30 ) )
=> ( ( true1 = X30 )
=> ! [X31: set_vertex] :
( ( X28 = X31 )
=> ! [X32: set_vertex] :
( ( tb2t(empty(vertex)) = X32 )
=> ! [X33: $int] :
( ( $sum(X25,1) = X33 )
=> ! [X1: vertex1] : closure1(X29,X31,X32,X1) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f59]) ).
tff(f59,conjecture,
! [X25: $int,X23: set_vertex,X10: vertex1,X24: set_vertex,X21: vertex1,X22: set_vertex] :
( ( ( is_empty(vertex,t2tb(X23))
=> is_empty(vertex,t2tb(X24)) )
& inv1(X10,X21,X22,X23,X24,X25)
& ! [X1: vertex1] : closure1(X22,X23,X24,X1)
& $lesseq(0,X25) )
=> ! [X26: bool1] :
( ( ( true1 = X26 )
<=> is_empty(vertex,t2tb(X23)) )
=> ( ( true1 != X26 )
=> ( ~ is_empty(vertex,t2tb(X23))
=> ! [X12: vertex1,X27: set_vertex] :
( ( ( tb2t(remove(vertex,t2tb1(X12),t2tb(X23))) = X27 )
& mem(vertex,t2tb1(X12),t2tb(X23)) )
=> ( ( X12 != X21 )
=> ( ( ! [X1: vertex1] :
( ( X1 != X12 )
=> closure1(X22,X27,X24,X1) )
& inv1(X10,X21,X22,X27,X24,X25)
& shortest_path1(X10,X12,X25) )
=> ! [X28: set_vertex,X29: set_vertex] :
( ( subset(vertex,t2tb(succ1(X12)),t2tb(X29))
& ! [X1: vertex1] : closure1(X29,X27,X28,X1)
& inv1(X10,X21,X29,X27,X28,X25) )
=> ! [X30: bool1] :
( ( is_empty(vertex,t2tb(X27))
<=> ( true1 = X30 ) )
=> ( ( true1 = X30 )
=> ! [X31: set_vertex] :
( ( X28 = X31 )
=> ! [X32: set_vertex] :
( ( tb2t(empty(vertex)) = X32 )
=> ! [X33: $int] :
( ( $sum(X25,1) = X33 )
=> ! [X1: vertex1] : closure1(X29,X31,X32,X1) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_bfs) ).
tff(f287,plain,
~ closure1(sK12,sK14,sK15,sK17),
inference(cnf_transformation,[],[f201]) ).
tff(f774,plain,
( ~ mem(vertex,t2tb1(sK18(sK12,sK17)),t2tb(succ1(sK17)))
| ~ spl32_3 ),
inference(unit_resulting_resolution,[],[f293,f452,f507,f509,f530,f317]) ).
tff(f317,plain,
! [X2: vertex1,X3: set_vertex,X0: set_vertex,X1: set_vertex,X4: vertex1] :
( ~ closure1(X1,X0,X3,X2)
| mem(vertex,t2tb1(X2),t2tb(X0))
| mem(vertex,t2tb1(X2),t2tb(X3))
| ~ mem(vertex,t2tb1(X2),t2tb(X1))
| mem(vertex,t2tb1(X4),t2tb(X1))
| ~ mem(vertex,t2tb1(X4),t2tb(succ1(X2))) ),
inference(cnf_transformation,[],[f209]) ).
tff(f530,plain,
~ mem(vertex,t2tb1(sK18(sK12,sK17)),t2tb(sK12)),
inference(unit_resulting_resolution,[],[f439,f312]) ).
tff(f312,plain,
! [X2: vertex1,X3: set_vertex,X0: set_vertex,X1: set_vertex] :
( ~ mem(vertex,t2tb1(sK18(X1,X2)),t2tb(X1))
| closure1(X1,X0,X3,X2) ),
inference(cnf_transformation,[],[f209]) ).
tff(f509,plain,
mem(vertex,t2tb1(sK17),t2tb(sK12)),
inference(unit_resulting_resolution,[],[f439,f315]) ).
tff(f315,plain,
! [X2: vertex1,X3: set_vertex,X0: set_vertex,X1: set_vertex] :
( closure1(X1,X0,X3,X2)
| mem(vertex,t2tb1(X2),t2tb(X1)) ),
inference(cnf_transformation,[],[f209]) ).
tff(f507,plain,
~ mem(vertex,t2tb1(sK17),t2tb(sK11)),
inference(unit_resulting_resolution,[],[f439,f314]) ).
tff(f314,plain,
! [X2: vertex1,X3: set_vertex,X0: set_vertex,X1: set_vertex] :
( ~ mem(vertex,t2tb1(X2),t2tb(X0))
| closure1(X1,X0,X3,X2) ),
inference(cnf_transformation,[],[f209]) ).
tff(f452,plain,
( ! [X0: uni] : ~ mem(vertex,X0,t2tb(sK10))
| ~ spl32_3 ),
inference(unit_resulting_resolution,[],[f422,f326]) ).
tff(f326,plain,
! [X3: uni,X0: uni,X1: ty] :
( ~ mem(X1,X3,X0)
| ~ is_empty(X1,X0) ),
inference(cnf_transformation,[],[f218]) ).
tff(f218,plain,
! [X0: uni,X1: ty] :
( ( ( sort1(X1,sK19(X0,X1))
& mem(X1,sK19(X0,X1),X0) )
| is_empty(X1,X0) )
& ( ! [X3: uni] : ~ mem(X1,X3,X0)
| ~ is_empty(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f216,f217]) ).
tff(f217,plain,
! [X0: uni,X1: ty] :
( ? [X2: uni] :
( sort1(X1,X2)
& mem(X1,X2,X0) )
=> ( sort1(X1,sK19(X0,X1))
& mem(X1,sK19(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
tff(f216,plain,
! [X0: uni,X1: ty] :
( ( ? [X2: uni] :
( sort1(X1,X2)
& mem(X1,X2,X0) )
| is_empty(X1,X0) )
& ( ! [X3: uni] : ~ mem(X1,X3,X0)
| ~ is_empty(X1,X0) ) ),
inference(rectify,[],[f156]) ).
tff(f156,plain,
! [X0: uni,X1: ty] :
( ( ? [X3: uni] :
( sort1(X1,X3)
& mem(X1,X3,X0) )
| is_empty(X1,X0) )
& ( ! [X2: uni] : ~ mem(X1,X2,X0)
| ~ is_empty(X1,X0) ) ),
inference(ennf_transformation,[],[f97]) ).
tff(f97,plain,
! [X1: ty,X0: uni] :
( ( ! [X3: uni] :
( sort1(X1,X3)
=> ~ mem(X1,X3,X0) )
=> is_empty(X1,X0) )
& ( is_empty(X1,X0)
=> ! [X2: uni] : ~ mem(X1,X2,X0) ) ),
inference(rectify,[],[f15]) ).
tff(f15,axiom,
! [X10: uni,X0: ty] :
( ( is_empty(X0,X10)
=> ! [X1: uni] : ~ mem(X0,X1,X10) )
& ( ! [X1: uni] :
( sort1(X0,X1)
=> ~ mem(X0,X1,X10) )
=> is_empty(X0,X10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_empty_def) ).
tff(f422,plain,
( is_empty(vertex,t2tb(sK10))
| ~ spl32_3 ),
inference(avatar_component_clause,[],[f421]) ).
tff(f421,plain,
( spl32_3
<=> is_empty(vertex,t2tb(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_3])]) ).
tff(f293,plain,
! [X12: vertex1] : closure1(sK12,sK10,sK11,X12),
inference(cnf_transformation,[],[f201]) ).
tff(f433,plain,
( spl32_3
| ~ spl32_4 ),
inference(avatar_split_clause,[],[f284,f425,f421]) ).
tff(f425,plain,
( spl32_4
<=> ( true1 = sK13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_4])]) ).
tff(f284,plain,
( ( true1 != sK13 )
| is_empty(vertex,t2tb(sK10)) ),
inference(cnf_transformation,[],[f201]) ).
tff(f430,plain,
spl32_4,
inference(avatar_split_clause,[],[f290,f425]) ).
tff(f290,plain,
true1 = sK13,
inference(cnf_transformation,[],[f201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.45 % Problem : SWW672=2 : TPTP v8.1.0. Released v6.1.0.
% 0.10/0.46 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.70 % Computer : n016.cluster.edu
% 0.13/0.70 % Model : x86_64 x86_64
% 0.13/0.70 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.70 % Memory : 8042.1875MB
% 0.13/0.70 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.70 % CPULimit : 300
% 0.13/0.70 % WCLimit : 300
% 0.13/0.70 % DateTime : Tue Aug 30 21:22:02 EDT 2022
% 0.13/0.70 % CPUTime :
% 0.16/0.86 % (23697)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.86 % (23700)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.87 % (23708)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.87 % (23697)Instruction limit reached!
% 0.16/0.87 % (23697)------------------------------
% 0.16/0.87 % (23697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.88 % (23713)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.88 % (23697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.88 % (23697)Termination reason: Unknown
% 0.16/0.88 % (23697)Termination phase: Property scanning
% 0.16/0.88
% 0.16/0.88 % (23697)Memory used [KB]: 1151
% 0.16/0.88 % (23697)Time elapsed: 0.006 s
% 0.16/0.88 % (23697)Instructions burned: 8 (million)
% 0.16/0.88 % (23697)------------------------------
% 0.16/0.88 % (23697)------------------------------
% 0.16/0.88 % (23705)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.89 % (23716)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)
% 0.16/0.90 % (23693)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)
% 0.16/0.91 % (23694)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.91 % (23709)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)
% 0.16/0.91 % (23714)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.91 % (23695)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)
% 0.16/0.92 % (23690)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.16/0.92 % (23696)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.92 % (23698)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.92 % (23701)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)
% 0.16/0.92 % (23711)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.92 % (23698)Instruction limit reached!
% 0.16/0.92 % (23698)------------------------------
% 0.16/0.92 % (23698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.92 % (23698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.92 % (23698)Termination reason: Unknown
% 0.16/0.92 % (23698)Termination phase: Property scanning
% 0.16/0.92
% 0.16/0.92 % (23698)Memory used [KB]: 895
% 0.16/0.92 % (23698)Time elapsed: 0.003 s
% 0.16/0.92 % (23698)Instructions burned: 3 (million)
% 0.16/0.92 % (23698)------------------------------
% 0.16/0.92 % (23698)------------------------------
% 0.16/0.92 % (23696)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.92 % (23696)Terminated due to inappropriate strategy.
% 0.16/0.92 % (23696)------------------------------
% 0.16/0.92 % (23696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.92 % (23696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.92 % (23696)Termination reason: Inappropriate
% 0.16/0.92
% 0.16/0.92 % (23696)Memory used [KB]: 1151
% 0.16/0.92 % (23696)Time elapsed: 0.008 s
% 0.16/0.92 % (23696)Instructions burned: 9 (million)
% 0.16/0.92 % (23696)------------------------------
% 0.16/0.92 % (23696)------------------------------
% 0.16/0.93 % (23710)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.16/0.93 % (23706)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.93 % (23719)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.16/0.93 % (23712)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)
% 0.16/0.94 % (23703)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.94 % (23718)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.94 % (23704)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)
% 0.16/0.94 % (23691)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)
% 0.16/0.94 % (23702)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.94 % (23717)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)
% 0.16/0.95 % (23690)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.95 % (23690)Terminated due to inappropriate strategy.
% 0.16/0.95 % (23690)------------------------------
% 0.16/0.95 % (23690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.95 % (23690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.95 % (23690)Termination reason: Inappropriate
% 0.16/0.95
% 0.16/0.95 % (23690)Memory used [KB]: 1279
% 0.16/0.95 % (23690)Time elapsed: 0.010 s
% 0.16/0.95 % (23690)Instructions burned: 15 (million)
% 0.16/0.95 % (23690)------------------------------
% 0.16/0.95 % (23690)------------------------------
% 0.16/0.97 % (23707)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.97 % (23715)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.97 % (23700)Instruction limit reached!
% 0.16/0.97 % (23700)------------------------------
% 0.16/0.97 % (23700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.97 % (23700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.97 % (23700)Termination reason: Unknown
% 0.16/0.97 % (23700)Termination phase: Saturation
% 0.16/0.97
% 0.16/0.97 % (23700)Memory used [KB]: 6396
% 0.16/0.97 % (23700)Time elapsed: 0.184 s
% 0.16/0.97 % (23700)Instructions burned: 50 (million)
% 0.16/0.97 % (23700)------------------------------
% 0.16/0.97 % (23700)------------------------------
% 0.16/0.99 % (23692)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)
% 0.16/1.01 % (23699)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)
% 0.16/1.02 % (23707)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/1.02 % (23707)Terminated due to inappropriate strategy.
% 0.16/1.02 % (23707)------------------------------
% 0.16/1.02 % (23707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/1.02 % (23707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/1.02 % (23707)Termination reason: Inappropriate
% 0.16/1.02
% 0.16/1.02 % (23707)Memory used [KB]: 1279
% 0.16/1.02 % (23707)Time elapsed: 0.012 s
% 0.16/1.02 % (23707)Instructions burned: 14 (million)
% 0.16/1.02 % (23707)------------------------------
% 0.16/1.02 % (23707)------------------------------
% 0.16/1.02 % (23716)Instruction limit reached!
% 0.16/1.02 % (23716)------------------------------
% 0.16/1.02 % (23716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/1.03 % (23695)Instruction limit reached!
% 0.16/1.03 % (23695)------------------------------
% 0.16/1.03 % (23695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/1.03 % (23705)Instruction limit reached!
% 0.16/1.03 % (23705)------------------------------
% 0.16/1.03 % (23705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/1.03 % (23705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/1.03 % (23705)Termination reason: Unknown
% 0.16/1.03 % (23705)Termination phase: Saturation
% 0.16/1.03
% 0.16/1.03 % (23705)Memory used [KB]: 2174
% 0.16/1.03 % (23705)Time elapsed: 0.258 s
% 0.16/1.03 % (23705)Instructions burned: 75 (million)
% 0.16/1.03 % (23705)------------------------------
% 0.16/1.03 % (23705)------------------------------
% 0.16/1.04 % (23694)Instruction limit reached!
% 0.16/1.04 % (23694)------------------------------
% 0.16/1.04 % (23694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/1.04 % (23694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/1.04 % (23694)Termination reason: Unknown
% 0.16/1.04 % (23694)Termination phase: Saturation
% 0.16/1.04
% 0.16/1.04 % (23694)Memory used [KB]: 6268
% 0.16/1.04 % (23694)Time elapsed: 0.269 s
% 0.16/1.04 % (23694)Instructions burned: 52 (million)
% 0.16/1.04 % (23694)------------------------------
% 0.16/1.04 % (23694)------------------------------
% 0.16/1.04 % (23693)Instruction limit reached!
% 0.16/1.04 % (23693)------------------------------
% 0.16/1.04 % (23693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/1.04 % (23693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/1.04 % (23693)Termination reason: Unknown
% 0.16/1.04 % (23693)Termination phase: Saturation
% 0.16/1.04
% 0.16/1.04 % (23693)Memory used [KB]: 6140
% 0.16/1.04 % (23693)Time elapsed: 0.269 s
% 0.16/1.04 % (23693)Instructions burned: 52 (million)
% 0.16/1.04 % (23693)------------------------------
% 0.16/1.04 % (23693)------------------------------
% 0.16/1.04 % (23716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/1.04 % (23716)Termination reason: Unknown
% 0.16/1.04 % (23716)Termination phase: Saturation
% 0.16/1.04
% 0.16/1.04 % (23716)Memory used [KB]: 7036
% 0.16/1.04 % (23716)Time elapsed: 0.056 s
% 0.16/1.04 % (23716)Instructions burned: 69 (million)
% 0.16/1.04 % (23716)------------------------------
% 0.16/1.04 % (23716)------------------------------
% 0.16/1.05 % (23695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/1.05 % (23695)Termination reason: Unknown
% 0.16/1.05 % (23695)Termination phase: Saturation
% 0.16/1.05
% 0.16/1.05 % (23695)Memory used [KB]: 6140
% 0.16/1.05 % (23695)Time elapsed: 0.263 s
% 0.16/1.05 % (23695)Instructions burned: 49 (million)
% 0.16/1.05 % (23695)------------------------------
% 0.16/1.05 % (23695)------------------------------
% 0.16/1.05 % (23720)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 0.16/1.06 % (23691)Instruction limit reached!
% 0.16/1.06 % (23691)------------------------------
% 0.16/1.06 % (23691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/1.06 % (23691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/1.06 % (23691)Termination reason: Unknown
% 0.16/1.06 % (23691)Termination phase: Saturation
% 0.16/1.06
% 0.16/1.06 % (23691)Memory used [KB]: 6268
% 0.16/1.06 % (23691)Time elapsed: 0.254 s
% 0.16/1.06 % (23691)Instructions burned: 51 (million)
% 0.16/1.06 % (23691)------------------------------
% 0.16/1.06 % (23691)------------------------------
% 2.71/1.07 % (23704)Instruction limit reached!
% 2.71/1.07 % (23704)------------------------------
% 2.71/1.07 % (23704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/1.08 % (23708)Instruction limit reached!
% 2.71/1.08 % (23708)------------------------------
% 2.71/1.08 % (23708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/1.08 % (23708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/1.08 % (23708)Termination reason: Unknown
% 2.71/1.08 % (23708)Termination phase: Saturation
% 2.71/1.08
% 2.71/1.08 % (23708)Memory used [KB]: 6908
% 2.71/1.08 % (23708)Time elapsed: 0.315 s
% 2.71/1.08 % (23708)Instructions burned: 100 (million)
% 2.71/1.08 % (23708)------------------------------
% 2.71/1.08 % (23708)------------------------------
% 2.71/1.09 % (23704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/1.09 % (23704)Termination reason: Unknown
% 2.71/1.09 % (23704)Termination phase: Saturation
% 2.71/1.09
% 2.71/1.09 % (23704)Memory used [KB]: 7036
% 2.71/1.09 % (23704)Time elapsed: 0.050 s
% 2.71/1.09 % (23704)Instructions burned: 68 (million)
% 2.71/1.09 % (23704)------------------------------
% 2.71/1.09 % (23704)------------------------------
% 2.71/1.10 % (23722)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.71/1.11 % (23692)Instruction limit reached!
% 2.71/1.11 % (23692)------------------------------
% 2.71/1.11 % (23692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/1.11 % (23692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/1.11 % (23692)Termination reason: Unknown
% 2.71/1.11 % (23692)Termination phase: Saturation
% 2.71/1.11
% 2.71/1.11 % (23692)Memory used [KB]: 1535
% 2.71/1.11 % (23692)Time elapsed: 0.312 s
% 2.71/1.11 % (23692)Instructions burned: 37 (million)
% 2.71/1.11 % (23692)------------------------------
% 2.71/1.11 % (23692)------------------------------
% 2.71/1.12 % (23709)Instruction limit reached!
% 2.71/1.12 % (23709)------------------------------
% 2.71/1.12 % (23709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/1.12 % (23709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/1.12 % (23709)Termination reason: Unknown
% 2.71/1.12 % (23709)Termination phase: Saturation
% 2.71/1.12
% 2.71/1.12 % (23709)Memory used [KB]: 1407
% 2.71/1.12 % (23709)Time elapsed: 0.337 s
% 2.71/1.12 % (23709)Instructions burned: 100 (million)
% 2.71/1.12 % (23709)------------------------------
% 2.71/1.12 % (23709)------------------------------
% 2.71/1.13 % (23699)Instruction limit reached!
% 2.71/1.13 % (23699)------------------------------
% 2.71/1.13 % (23699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/1.13 % (23699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/1.13 % (23699)Termination reason: Unknown
% 2.71/1.13 % (23699)Termination phase: Saturation
% 2.71/1.13
% 2.71/1.13 % (23699)Memory used [KB]: 1535
% 2.71/1.13 % (23699)Time elapsed: 0.334 s
% 2.71/1.13 % (23699)Instructions burned: 52 (million)
% 2.71/1.13 % (23699)------------------------------
% 2.71/1.13 % (23699)------------------------------
% 3.21/1.15 % (23721)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.21/1.17 % (23706)Instruction limit reached!
% 3.21/1.17 % (23706)------------------------------
% 3.21/1.17 % (23706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/1.17 % (23706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/1.17 % (23706)Termination reason: Unknown
% 3.21/1.17 % (23706)Termination phase: Saturation
% 3.21/1.17
% 3.21/1.17 % (23706)Memory used [KB]: 6524
% 3.21/1.17 % (23706)Time elapsed: 0.347 s
% 3.21/1.17 % (23706)Instructions burned: 100 (million)
% 3.21/1.17 % (23706)------------------------------
% 3.21/1.17 % (23706)------------------------------
% 3.52/1.19 % (23701)Instruction limit reached!
% 3.52/1.19 % (23701)------------------------------
% 3.52/1.19 % (23701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.52/1.19 % (23701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.52/1.19 % (23701)Termination reason: Unknown
% 3.52/1.19 % (23701)Termination phase: Saturation
% 3.52/1.19
% 3.52/1.19 % (23701)Memory used [KB]: 6780
% 3.52/1.19 % (23701)Time elapsed: 0.395 s
% 3.52/1.19 % (23701)Instructions burned: 100 (million)
% 3.52/1.19 % (23701)------------------------------
% 3.52/1.19 % (23701)------------------------------
% 3.52/1.19 % (23703)Instruction limit reached!
% 3.52/1.19 % (23703)------------------------------
% 3.52/1.19 % (23703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.52/1.19 % (23703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.52/1.19 % (23703)Termination reason: Unknown
% 3.52/1.19 % (23703)Termination phase: Saturation
% 3.52/1.19
% 3.52/1.19 % (23703)Memory used [KB]: 6908
% 3.52/1.19 % (23703)Time elapsed: 0.421 s
% 3.52/1.19 % (23703)Instructions burned: 100 (million)
% 3.52/1.19 % (23703)------------------------------
% 3.52/1.19 % (23703)------------------------------
% 3.52/1.20 % (23724)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.52/1.21 % (23725)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 3.52/1.22 % (23722)Instruction limit reached!
% 3.52/1.22 % (23722)------------------------------
% 3.52/1.22 % (23722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.52/1.22 % (23722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.52/1.22 % (23722)Termination reason: Unknown
% 3.52/1.22 % (23722)Termination phase: Saturation
% 3.52/1.22
% 3.52/1.22 % (23722)Memory used [KB]: 6524
% 3.52/1.22 % (23722)Time elapsed: 0.237 s
% 3.52/1.22 % (23722)Instructions burned: 90 (million)
% 3.52/1.22 % (23722)------------------------------
% 3.52/1.22 % (23722)------------------------------
% 3.52/1.23 % (23702)Instruction limit reached!
% 3.52/1.23 % (23702)------------------------------
% 3.52/1.23 % (23702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.52/1.23 % (23702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.52/1.23 % (23702)Termination reason: Unknown
% 3.52/1.23 % (23702)Termination phase: Saturation
% 3.52/1.23
% 3.52/1.23 % (23702)Memory used [KB]: 6780
% 3.52/1.23 % (23702)Time elapsed: 0.463 s
% 3.52/1.23 % (23702)Instructions burned: 102 (million)
% 3.52/1.23 % (23702)------------------------------
% 3.52/1.23 % (23702)------------------------------
% 3.91/1.25 % (23729)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.91/1.25 % (23732)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.91/1.26 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.96/1.27 % (23727)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.96/1.27 % (23711)Instruction limit reached!
% 3.96/1.27 % (23711)------------------------------
% 3.96/1.27 % (23711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.96/1.27 % (23711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.96/1.27 % (23711)Termination reason: Unknown
% 3.96/1.27 % (23711)Termination phase: Saturation
% 3.96/1.27
% 3.96/1.27 % (23711)Memory used [KB]: 7164
% 3.96/1.27 % (23711)Time elapsed: 0.470 s
% 3.96/1.27 % (23711)Instructions burned: 138 (million)
% 3.96/1.27 % (23711)------------------------------
% 3.96/1.27 % (23711)------------------------------
% 3.96/1.28 % (23730)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.96/1.29 % (23733)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 3.96/1.29 % (23726)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.96/1.30 % (23734)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 4.26/1.31 % (23735)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 4.26/1.32 % (23728)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 (2996ds/68Mi)
% 4.26/1.34 % (23737)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 4.26/1.34 % (23742)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 4.41/1.35 % (23710)Instruction limit reached!
% 4.41/1.35 % (23710)------------------------------
% 4.41/1.35 % (23710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.41/1.35 % (23710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.41/1.35 % (23710)Termination reason: Unknown
% 4.41/1.35 % (23710)Termination phase: Saturation
% 4.41/1.35
% 4.41/1.35 % (23710)Memory used [KB]: 6140
% 4.41/1.35 % (23710)Time elapsed: 0.563 s
% 4.41/1.35 % (23710)Instructions burned: 176 (million)
% 4.41/1.35 % (23710)------------------------------
% 4.41/1.35 % (23710)------------------------------
% 4.41/1.37 % (23730)First to succeed.
% 4.41/1.40 % (23730)Refutation found. Thanks to Tanya!
% 4.41/1.40 % SZS status Theorem for theBenchmark
% 4.41/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 4.41/1.40 % (23730)------------------------------
% 4.41/1.40 % (23730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.41/1.40 % (23730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.41/1.40 % (23730)Termination reason: Refutation
% 4.41/1.40
% 4.41/1.40 % (23730)Memory used [KB]: 6268
% 4.41/1.40 % (23730)Time elapsed: 0.282 s
% 4.41/1.40 % (23730)Instructions burned: 38 (million)
% 4.41/1.40 % (23730)------------------------------
% 4.41/1.40 % (23730)------------------------------
% 4.41/1.40 % (23689)Success in time 0.669 s
%------------------------------------------------------------------------------