%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW625_2 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:30:58 PM UTC 2026
% Result : Theorem 5.90s 1.77s
% Output : Refutation 8.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 74 ( 32 unt; 0 typ; 6 def)
% Number of atoms : 265 ( 31 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 276 ( 85 ~; 90 |; 70 &)
% ( 6 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 8 ( 6 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 58 ( 58 usr; 29 con; 0-5 aty)
% Number of variables : 143 ( 122 !; 21 ?; 143 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
tuple0: $tType ).
tff(type_def_9,type,
elt: $tType ).
tff(type_def_10,type,
list_elt: $tType ).
tff(func_def_0,type,
witness: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool1: ty ).
tff(func_def_4,type,
true: bool ).
tff(func_def_5,type,
false: bool ).
tff(func_def_6,type,
match_bool: ( ty * bool * uni * uni ) > uni ).
tff(func_def_7,type,
tuple01: ty ).
tff(func_def_8,type,
tuple02: tuple0 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
list: ty > ty ).
tff(func_def_13,type,
nil: ty > uni ).
tff(func_def_14,type,
cons: ( ty * uni * uni ) > uni ).
tff(func_def_15,type,
match_list: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_16,type,
cons_proj_1: ( ty * uni ) > uni ).
tff(func_def_17,type,
cons_proj_2: ( ty * uni ) > uni ).
tff(func_def_18,type,
length: ( ty * uni ) > $int ).
tff(func_def_21,type,
infix_plpl: ( ty * uni * uni ) > uni ).
tff(func_def_22,type,
num_occ: ( ty * uni * uni ) > $int ).
tff(func_def_23,type,
reverse: ( ty * uni ) > uni ).
tff(func_def_24,type,
elt1: ty ).
tff(func_def_25,type,
t2tb: list_elt > uni ).
tff(func_def_26,type,
tb2t: uni > list_elt ).
tff(func_def_27,type,
t2tb1: elt > uni ).
tff(func_def_28,type,
tb2t1: uni > elt ).
tff(func_def_29,type,
rev_append: ( ty * uni * uni ) > uni ).
tff(func_def_30,type,
sK0: ( ty * uni * uni ) > uni ).
tff(func_def_31,type,
sK1: ( ty * uni * uni ) > uni ).
tff(func_def_32,type,
sK2: ( elt * list_elt ) > elt ).
tff(func_def_33,type,
sK3: list_elt ).
tff(func_def_34,type,
sK4: list_elt ).
tff(func_def_35,type,
sK5: list_elt ).
tff(func_def_36,type,
sK6: elt ).
tff(func_def_37,type,
sK7: list_elt ).
tff(func_def_38,type,
sK8: ( elt * list_elt ) > elt ).
tff(func_def_39,type,
sK9: list_elt > elt ).
tff(func_def_40,type,
sK10: list_elt > elt ).
tff(func_def_41,type,
sK11: list_elt > list_elt ).
tff(func_def_42,type,
sK12: list_elt > elt ).
tff(func_def_43,type,
sK13: ( list_elt * list_elt ) > elt ).
tff(func_def_44,type,
sK14: ( list_elt * list_elt ) > elt ).
tff(func_def_45,type,
sK15: ( list_elt * list_elt ) > elt ).
tff(func_def_46,type,
sK16: ( list_elt * list_elt ) > elt ).
tff(func_def_47,type,
sF17: uni ).
tff(func_def_48,type,
sF18: uni ).
tff(func_def_49,type,
sF19: uni ).
tff(func_def_50,type,
sF20: list_elt ).
tff(func_def_51,type,
sF21: uni ).
tff(func_def_52,type,
sF22: list_elt ).
tff(func_def_53,type,
sF23: uni ).
tff(func_def_54,type,
sF24: uni ).
tff(func_def_55,type,
sF25: uni ).
tff(func_def_56,type,
sF26: uni ).
tff(func_def_57,type,
sF27: list_elt ).
tff(func_def_58,type,
sF28: list_elt ).
tff(func_def_59,type,
sF29: uni ).
tff(func_def_60,type,
sF30: uni ).
tff(func_def_61,type,
sF31: list_elt ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(pred_def_3,type,
mem: ( ty * uni * uni ) > $o ).
tff(pred_def_5,type,
permut: ( ty * uni * uni ) > $o ).
tff(pred_def_6,type,
le: ( elt * elt ) > $o ).
tff(pred_def_7,type,
sorted: list_elt > $o ).
tff(f39,axiom,
! [X0: ty,X2: uni,X1: uni] :
( mem(X0,X2,reverse(X0,X1))
<=> mem(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reverse_mem) ).
tff(f59,axiom,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR) ).
tff(f68,axiom,
! [X1: list_elt,X0: list_elt] :
( sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1))))
<=> ( sorted(X0)
& sorted(X1)
& ! [X2: elt,X3: elt] :
( mem(elt1,t2tb1(X2),t2tb(X0))
=> ( mem(elt1,t2tb1(X3),t2tb(X1))
=> le(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted_append) ).
tff(f74,axiom,
! [X0: ty,X2: uni,X1: uni] : ( rev_append(X0,X1,X2) = infix_plpl(X0,reverse(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rev_append_def1) ).
tff(f79,conjecture,
! [X2: list_elt,X0: list_elt,X1: list_elt] :
( ( ! [X3: elt,X4: elt] :
( mem(elt1,t2tb1(X3),t2tb(X2))
=> ( mem(elt1,t2tb1(X4),t2tb(X0))
=> le(X4,X3) ) )
& sorted(X2)
& sorted(tb2t(reverse(elt1,t2tb(X0))))
& ! [X4: elt,X3: elt] :
( mem(elt1,t2tb1(X3),t2tb(X2))
=> ( mem(elt1,t2tb1(X4),t2tb(X1))
=> le(X4,X3) ) )
& sorted(tb2t(reverse(elt1,t2tb(X1)))) )
=> ! [X3: elt,X5: list_elt] :
( ( X1 = tb2t(cons(elt1,t2tb1(X3),t2tb(X5))) )
=> ( ( X0 = tb2t(nil(elt1)) )
=> sorted(tb2t(rev_append(elt1,t2tb(X1),t2tb(X2)))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_rev_merge_rev) ).
tff(f80,negated_conjecture,
~ ! [X2: list_elt,X0: list_elt,X1: list_elt] :
( ( ! [X3: elt,X4: elt] :
( mem(elt1,t2tb1(X3),t2tb(X2))
=> ( mem(elt1,t2tb1(X4),t2tb(X0))
=> le(X4,X3) ) )
& sorted(X2)
& sorted(tb2t(reverse(elt1,t2tb(X0))))
& ! [X4: elt,X3: elt] :
( mem(elt1,t2tb1(X3),t2tb(X2))
=> ( mem(elt1,t2tb1(X4),t2tb(X1))
=> le(X4,X3) ) )
& sorted(tb2t(reverse(elt1,t2tb(X1)))) )
=> ! [X3: elt,X5: list_elt] :
( ( X1 = tb2t(cons(elt1,t2tb1(X3),t2tb(X5))) )
=> ( ( X0 = tb2t(nil(elt1)) )
=> sorted(tb2t(rev_append(elt1,t2tb(X1),t2tb(X2)))) ) ) ),
inference(negated_conjecture,[status(cth)],[f79]) ).
tff(f83,plain,
~ ! [X0: list_elt,X2: list_elt,X1: list_elt] :
( ( ! [X4: elt,X3: elt] :
( mem(elt1,t2tb1(X3),t2tb(X0))
=> ( mem(elt1,t2tb1(X4),t2tb(X1))
=> le(X4,X3) ) )
& sorted(X0)
& sorted(tb2t(reverse(elt1,t2tb(X1))))
& sorted(tb2t(reverse(elt1,t2tb(X2))))
& ! [X6: elt,X5: elt] :
( mem(elt1,t2tb1(X6),t2tb(X0))
=> ( mem(elt1,t2tb1(X5),t2tb(X2))
=> le(X5,X6) ) ) )
=> ! [X8: list_elt,X7: elt] :
( ( tb2t(cons(elt1,t2tb1(X7),t2tb(X8))) = X2 )
=> ( ( tb2t(nil(elt1)) = X1 )
=> sorted(tb2t(rev_append(elt1,t2tb(X2),t2tb(X0)))) ) ) ),
inference(rectify,[],[f80]) ).
tff(f84,plain,
! [X1: uni,X2: uni,X0: ty] :
( mem(X0,X1,X2)
<=> mem(X0,X1,reverse(X0,X2)) ),
inference(rectify,[],[f39]) ).
tff(f90,plain,
! [X1: list_elt,X0: list_elt] :
( sorted(tb2t(infix_plpl(elt1,t2tb(X1),t2tb(X0))))
<=> ( sorted(X1)
& ! [X2: elt,X3: elt] :
( mem(elt1,t2tb1(X2),t2tb(X1))
=> ( mem(elt1,t2tb1(X3),t2tb(X0))
=> le(X2,X3) ) )
& sorted(X0) ) ),
inference(rectify,[],[f68]) ).
tff(f101,plain,
! [X1: uni,X2: uni,X0: ty] : ( rev_append(X0,X2,X1) = infix_plpl(X0,reverse(X0,X2),X1) ),
inference(rectify,[],[f74]) ).
tff(f125,plain,
! [X1: list_elt,X0: list_elt] :
( sorted(tb2t(infix_plpl(elt1,t2tb(X1),t2tb(X0))))
<=> ( sorted(X1)
& ! [X2: elt,X3: elt] :
( le(X2,X3)
| ~ mem(elt1,t2tb1(X3),t2tb(X0))
| ~ mem(elt1,t2tb1(X2),t2tb(X1)) )
& sorted(X0) ) ),
inference(ennf_transformation,[],[f90]) ).
tff(f126,plain,
! [X1: list_elt,X0: list_elt] :
( ( ! [X2: elt,X3: elt] :
( le(X2,X3)
| ~ mem(elt1,t2tb1(X2),t2tb(X1))
| ~ mem(elt1,t2tb1(X3),t2tb(X0)) )
& sorted(X0)
& sorted(X1) )
<=> sorted(tb2t(infix_plpl(elt1,t2tb(X1),t2tb(X0)))) ),
inference(flattening,[],[f125]) ).
tff(f137,plain,
? [X0: list_elt,X2: list_elt,X1: list_elt] :
( ? [X8: list_elt,X7: elt] :
( ~ sorted(tb2t(rev_append(elt1,t2tb(X2),t2tb(X0))))
& ( tb2t(nil(elt1)) = X1 )
& ( tb2t(cons(elt1,t2tb1(X7),t2tb(X8))) = X2 ) )
& ! [X4: elt,X3: elt] :
( le(X4,X3)
| ~ mem(elt1,t2tb1(X4),t2tb(X1))
| ~ mem(elt1,t2tb1(X3),t2tb(X0)) )
& sorted(X0)
& sorted(tb2t(reverse(elt1,t2tb(X1))))
& sorted(tb2t(reverse(elt1,t2tb(X2))))
& ! [X6: elt,X5: elt] :
( le(X5,X6)
| ~ mem(elt1,t2tb1(X5),t2tb(X2))
| ~ mem(elt1,t2tb1(X6),t2tb(X0)) ) ),
inference(ennf_transformation,[],[f83]) ).
tff(f138,plain,
? [X2: list_elt,X1: list_elt,X0: list_elt] :
( ? [X7: elt,X8: list_elt] :
( ( tb2t(cons(elt1,t2tb1(X7),t2tb(X8))) = X2 )
& ( tb2t(nil(elt1)) = X1 )
& ~ sorted(tb2t(rev_append(elt1,t2tb(X2),t2tb(X0)))) )
& sorted(tb2t(reverse(elt1,t2tb(X2))))
& sorted(X0)
& sorted(tb2t(reverse(elt1,t2tb(X1))))
& ! [X5: elt,X6: elt] :
( ~ mem(elt1,t2tb1(X5),t2tb(X2))
| le(X5,X6)
| ~ mem(elt1,t2tb1(X6),t2tb(X0)) )
& ! [X4: elt,X3: elt] :
( ~ mem(elt1,t2tb1(X3),t2tb(X0))
| le(X4,X3)
| ~ mem(elt1,t2tb1(X4),t2tb(X1)) ) ),
inference(flattening,[],[f137]) ).
tff(f144,plain,
! [X0: uni,X1: uni,X2: ty] : ( rev_append(X2,X1,X0) = infix_plpl(X2,reverse(X2,X1),X0) ),
inference(rectify,[],[f101]) ).
tff(f157,plain,
? [X0: list_elt,X1: list_elt,X2: list_elt] :
( ? [X3: elt,X4: list_elt] :
( ( tb2t(cons(elt1,t2tb1(X3),t2tb(X4))) = X0 )
& ( tb2t(nil(elt1)) = X1 )
& ~ sorted(tb2t(rev_append(elt1,t2tb(X0),t2tb(X2)))) )
& sorted(tb2t(reverse(elt1,t2tb(X0))))
& sorted(X2)
& sorted(tb2t(reverse(elt1,t2tb(X1))))
& ! [X5: elt,X6: elt] :
( ~ mem(elt1,t2tb1(X5),t2tb(X0))
| le(X5,X6)
| ~ mem(elt1,t2tb1(X6),t2tb(X2)) )
& ! [X7: elt,X8: elt] :
( ~ mem(elt1,t2tb1(X8),t2tb(X2))
| le(X7,X8)
| ~ mem(elt1,t2tb1(X7),t2tb(X1)) ) ),
inference(rectify,[],[f138]) ).
tff(f158,plain,
( ( tb2t(cons(elt1,t2tb1(sK6),t2tb(sK7))) = sK3 )
& ( tb2t(nil(elt1)) = sK4 )
& ~ sorted(tb2t(rev_append(elt1,t2tb(sK3),t2tb(sK5))))
& sorted(tb2t(reverse(elt1,t2tb(sK3))))
& sorted(sK5)
& sorted(tb2t(reverse(elt1,t2tb(sK4))))
& ! [X5: elt,X6: elt] :
( ~ mem(elt1,t2tb1(X5),t2tb(sK3))
| le(X5,X6)
| ~ mem(elt1,t2tb1(X6),t2tb(sK5)) )
& ! [X7: elt,X8: elt] :
( ~ mem(elt1,t2tb1(X8),t2tb(sK5))
| le(X7,X8)
| ~ mem(elt1,t2tb1(X7),t2tb(sK4)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7)],[f157]) ).
tff(f167,plain,
! [X1: uni,X2: uni,X0: ty] :
( ( mem(X0,X1,X2)
| ~ mem(X0,X1,reverse(X0,X2)) )
& ( mem(X0,X1,reverse(X0,X2))
| ~ mem(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f84]) ).
tff(f168,plain,
! [X0: uni,X1: uni,X2: ty] :
( ( mem(X2,X0,X1)
| ~ mem(X2,X0,reverse(X2,X1)) )
& ( mem(X2,X0,reverse(X2,X1))
| ~ mem(X2,X0,X1) ) ),
inference(rectify,[],[f167]) ).
tff(f172,plain,
! [X1: list_elt,X0: list_elt] :
( ( ( ! [X2: elt,X3: elt] :
( le(X2,X3)
| ~ mem(elt1,t2tb1(X2),t2tb(X1))
| ~ mem(elt1,t2tb1(X3),t2tb(X0)) )
& sorted(X0)
& sorted(X1) )
| ~ sorted(tb2t(infix_plpl(elt1,t2tb(X1),t2tb(X0)))) )
& ( sorted(tb2t(infix_plpl(elt1,t2tb(X1),t2tb(X0))))
| ? [X2: elt,X3: elt] :
( ~ le(X2,X3)
& mem(elt1,t2tb1(X2),t2tb(X1))
& mem(elt1,t2tb1(X3),t2tb(X0)) )
| ~ sorted(X0)
| ~ sorted(X1) ) ),
inference(nnf_transformation,[],[f126]) ).
tff(f173,plain,
! [X1: list_elt,X0: list_elt] :
( ( ( ! [X2: elt,X3: elt] :
( le(X2,X3)
| ~ mem(elt1,t2tb1(X2),t2tb(X1))
| ~ mem(elt1,t2tb1(X3),t2tb(X0)) )
& sorted(X0)
& sorted(X1) )
| ~ sorted(tb2t(infix_plpl(elt1,t2tb(X1),t2tb(X0)))) )
& ( sorted(tb2t(infix_plpl(elt1,t2tb(X1),t2tb(X0))))
| ? [X2: elt,X3: elt] :
( ~ le(X2,X3)
& mem(elt1,t2tb1(X2),t2tb(X1))
& mem(elt1,t2tb1(X3),t2tb(X0)) )
| ~ sorted(X0)
| ~ sorted(X1) ) ),
inference(flattening,[],[f172]) ).
tff(f174,plain,
! [X0: list_elt,X1: list_elt] :
( ( ( ! [X2: elt,X3: elt] :
( le(X2,X3)
| ~ mem(elt1,t2tb1(X2),t2tb(X0))
| ~ mem(elt1,t2tb1(X3),t2tb(X1)) )
& sorted(X1)
& sorted(X0) )
| ~ sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1)))) )
& ( sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1))))
| ? [X4: elt,X5: elt] :
( ~ le(X4,X5)
& mem(elt1,t2tb1(X4),t2tb(X0))
& mem(elt1,t2tb1(X5),t2tb(X1)) )
| ~ sorted(X1)
| ~ sorted(X0) ) ),
inference(rectify,[],[f173]) ).
tff(f175,plain,
! [X0: list_elt,X1: list_elt] :
( ( ( ! [X2: elt,X3: elt] :
( le(X2,X3)
| ~ mem(elt1,t2tb1(X2),t2tb(X0))
| ~ mem(elt1,t2tb1(X3),t2tb(X1)) )
& sorted(X1)
& sorted(X0) )
| ~ sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1)))) )
& ( sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1))))
| ( ~ le(sK13(X0,X1),sK14(X0,X1))
& mem(elt1,t2tb1(sK13(X0,X1)),t2tb(X0))
& mem(elt1,t2tb1(sK14(X0,X1)),t2tb(X1)) )
| ~ sorted(X1)
| ~ sorted(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X4,sK13(X0,X1)),skolemize(X5,sK14(X0,X1))],[f174]) ).
tff(f196,plain,
! [X2: ty,X0: uni,X1: uni] : ( rev_append(X2,X1,X0) = infix_plpl(X2,reverse(X2,X1),X0) ),
inference(cnf_transformation,[],[f144]) ).
tff(f220,plain,
! [X6: elt,X5: elt] :
( ~ mem(elt1,t2tb1(X5),t2tb(sK3))
| le(X5,X6)
| ~ mem(elt1,t2tb1(X6),t2tb(sK5)) ),
inference(cnf_transformation,[],[f158]) ).
tff(f222,plain,
sorted(sK5),
inference(cnf_transformation,[],[f158]) ).
tff(f223,plain,
sorted(tb2t(reverse(elt1,t2tb(sK3)))),
inference(cnf_transformation,[],[f158]) ).
tff(f224,plain,
~ sorted(tb2t(rev_append(elt1,t2tb(sK3),t2tb(sK5)))),
inference(cnf_transformation,[],[f158]) ).
tff(f235,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(cnf_transformation,[],[f59]) ).
tff(f237,plain,
! [X2: ty,X0: uni,X1: uni] :
( ~ mem(X2,X0,reverse(X2,X1))
| mem(X2,X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
tff(f242,plain,
! [X0: list_elt,X1: list_elt] :
( sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1))))
| ~ sorted(X1)
| mem(elt1,t2tb1(sK14(X0,X1)),t2tb(X1))
| ~ sorted(X0) ),
inference(cnf_transformation,[],[f175]) ).
tff(f243,plain,
! [X0: list_elt,X1: list_elt] :
( sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1))))
| ~ sorted(X1)
| mem(elt1,t2tb1(sK13(X0,X1)),t2tb(X0))
| ~ sorted(X0) ),
inference(cnf_transformation,[],[f175]) ).
tff(f244,plain,
! [X0: list_elt,X1: list_elt] :
( sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1))))
| ~ sorted(X1)
| ~ le(sK13(X0,X1),sK14(X0,X1))
| ~ sorted(X0) ),
inference(cnf_transformation,[],[f175]) ).
tff(f270,plain,
~ sorted(tb2t(infix_plpl(elt1,reverse(elt1,t2tb(sK3)),t2tb(sK5)))),
inference(definition_unfolding,[],[f224,f196]) ).
tff(f293,definition,
sF23 = t2tb(sK3),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
tff(f294,plain,
t2tb(sK3) = sF23,
inference(reorient_equations,[],[f293]) ).
tff(f295,definition,
sF24 = reverse(elt1,sF23),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
tff(f296,plain,
reverse(elt1,sF23) = sF24,
inference(reorient_equations,[],[f295]) ).
tff(f297,definition,
sF25 = t2tb(sK5),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
tff(f298,definition,
sF26 = infix_plpl(elt1,sF24,sF25),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
tff(f299,definition,
sF27 = tb2t(sF26),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
tff(f300,plain,
tb2t(sF26) = sF27,
inference(reorient_equations,[],[f299]) ).
tff(f301,plain,
~ sorted(sF27),
inference(definition_folding,[],[f270,f300,f298,f297,f296,f294]) ).
tff(f302,definition,
sF28 = tb2t(sF24),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
tff(f303,plain,
tb2t(sF24) = sF28,
inference(reorient_equations,[],[f302]) ).
tff(f304,plain,
sorted(sF28),
inference(definition_folding,[],[f223,f303,f296,f294]) ).
tff(f309,plain,
! [X6: elt,X5: elt] :
( ~ mem(elt1,t2tb1(X6),sF25)
| le(X5,X6)
| ~ mem(elt1,t2tb1(X5),sF23) ),
inference(definition_folding,[],[f220,f297,f294]) ).
tff(f343,plain,
t2tb(sF28) = sF24,
inference(superposition,[],[f235,f303]) ).
tff(f462,plain,
! [X0: uni] :
( ~ mem(elt1,X0,sF24)
| mem(elt1,X0,sF23) ),
inference(superposition,[],[f237,f296]) ).
tff(f858,plain,
! [X0: list_elt] :
( ~ le(sK13(X0,sK5),sK14(X0,sK5))
| sorted(tb2t(infix_plpl(elt1,t2tb(X0),sF25)))
| ~ sorted(X0)
| ~ sorted(sK5) ),
inference(superposition,[],[f244,f297]) ).
tff(f868,plain,
! [X0: list_elt] :
( ~ le(sK13(X0,sK5),sK14(X0,sK5))
| ~ sorted(X0)
| sorted(tb2t(infix_plpl(elt1,t2tb(X0),sF25))) ),
inference(forward_subsumption_resolution,[],[f858,f222]) ).
tff(f907,plain,
! [X0: list_elt] :
( ~ sorted(X0)
| mem(elt1,t2tb1(sK14(X0,sK5)),sF25)
| sorted(tb2t(infix_plpl(elt1,t2tb(X0),sF25)))
| ~ sorted(sK5) ),
inference(superposition,[],[f242,f297]) ).
tff(f914,plain,
! [X0: list_elt] :
( sorted(tb2t(infix_plpl(elt1,t2tb(X0),sF25)))
| ~ sorted(X0)
| mem(elt1,t2tb1(sK14(X0,sK5)),sF25) ),
inference(forward_subsumption_resolution,[],[f907,f222]) ).
tff(f939,plain,
! [X0: list_elt] :
( ~ sorted(X0)
| ~ sorted(sK5)
| mem(elt1,t2tb1(sK13(X0,sK5)),t2tb(X0))
| sorted(tb2t(infix_plpl(elt1,t2tb(X0),sF25))) ),
inference(superposition,[],[f243,f297]) ).
tff(f952,plain,
! [X0: list_elt] :
( mem(elt1,t2tb1(sK13(X0,sK5)),t2tb(X0))
| sorted(tb2t(infix_plpl(elt1,t2tb(X0),sF25)))
| ~ sorted(X0) ),
inference(forward_subsumption_resolution,[],[f939,f222]) ).
tff(f1724,plain,
( sorted(tb2t(infix_plpl(elt1,sF24,sF25)))
| mem(elt1,t2tb1(sK14(sF28,sK5)),sF25)
| ~ sorted(sF28) ),
inference(superposition,[],[f914,f343]) ).
tff(f1726,plain,
( mem(elt1,t2tb1(sK14(sF28,sK5)),sF25)
| sorted(tb2t(infix_plpl(elt1,sF24,sF25))) ),
inference(forward_subsumption_resolution,[],[f1724,f304]) ).
tff(f1730,plain,
( sorted(tb2t(sF26))
| mem(elt1,t2tb1(sK14(sF28,sK5)),sF25) ),
inference(forward_demodulation,[],[f1726,f298]) ).
tff(f1750,plain,
( mem(elt1,t2tb1(sK14(sF28,sK5)),sF25)
| sorted(sF27) ),
inference(forward_demodulation,[],[f1730,f300]) ).
tff(f1751,plain,
mem(elt1,t2tb1(sK14(sF28,sK5)),sF25),
inference(forward_subsumption_resolution,[],[f1750,f301]) ).
tff(f1903,plain,
( sorted(tb2t(infix_plpl(elt1,sF24,sF25)))
| ~ sorted(sF28)
| mem(elt1,t2tb1(sK13(sF28,sK5)),sF24) ),
inference(superposition,[],[f952,f343]) ).
tff(f1906,plain,
( sorted(tb2t(infix_plpl(elt1,sF24,sF25)))
| mem(elt1,t2tb1(sK13(sF28,sK5)),sF24) ),
inference(forward_subsumption_resolution,[],[f1903,f304]) ).
tff(f1913,plain,
( mem(elt1,t2tb1(sK13(sF28,sK5)),sF24)
| sorted(tb2t(sF26)) ),
inference(forward_demodulation,[],[f1906,f298]) ).
tff(f1915,plain,
( sorted(sF27)
| mem(elt1,t2tb1(sK13(sF28,sK5)),sF24) ),
inference(forward_demodulation,[],[f1913,f300]) ).
tff(f1916,plain,
mem(elt1,t2tb1(sK13(sF28,sK5)),sF24),
inference(forward_subsumption_resolution,[],[f1915,f301]) ).
tff(f1922,plain,
! [X0: elt] :
( ~ mem(elt1,t2tb1(X0),sF23)
| le(X0,sK14(sF28,sK5)) ),
inference(resolution,[],[f1751,f309]) ).
tff(f2297,plain,
mem(elt1,t2tb1(sK13(sF28,sK5)),sF23),
inference(resolution,[],[f462,f1916]) ).
tff(f2299,plain,
le(sK13(sF28,sK5),sK14(sF28,sK5)),
inference(resolution,[],[f2297,f1922]) ).
tff(f2401,plain,
( sorted(tb2t(infix_plpl(elt1,t2tb(sF28),sF25)))
| ~ sorted(sF28) ),
inference(resolution,[],[f2299,f868]) ).
tff(f2404,plain,
sorted(tb2t(infix_plpl(elt1,t2tb(sF28),sF25))),
inference(forward_subsumption_resolution,[],[f2401,f304]) ).
tff(f2405,plain,
sorted(tb2t(infix_plpl(elt1,sF24,sF25))),
inference(forward_demodulation,[],[f2404,f343]) ).
tff(f2406,plain,
sorted(tb2t(sF26)),
inference(forward_demodulation,[],[f2405,f298]) ).
tff(f2407,plain,
sorted(sF27),
inference(forward_demodulation,[],[f2406,f300]) ).
tff(f2408,plain,
$false,
inference(forward_subsumption_resolution,[],[f2407,f301]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW625_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n003.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 14:24:42 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.71/1.37 % (1621681)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.71/1.37 % (1621769)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2515781281:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.71/1.37 % (1621768)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1568281927:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.71/1.37 % (1621773)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4244412001:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.71/1.37 % (1621774)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=54735981:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.71/1.37 % (1621771)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2574137518:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.71/1.37 % (1621770)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=652652003:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.71/1.37 % (1621771)Instruction limit reached!
% 3.71/1.37 % (1621771)------------------------------
% 3.71/1.37 % (1621771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.37 % (1621771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.37 % (1621771)CaDiCaL version: 2.1.3
% 3.71/1.37 % (1621771)Termination reason: Instruction limit
% 3.71/1.37 % (1621771)Termination phase: Saturation
% 3.71/1.37 % (1621771)Time elapsed: 0.005 s
% 3.71/1.37 % (1621771)Peak memory usage: 87 MB
% 3.71/1.37 % (1621771)Instructions burned: 8 (million)
% 3.71/1.37 % (1621768)Instruction limit reached!
% 3.71/1.37 % (1621768)------------------------------
% 3.71/1.37 % (1621768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.37 % (1621768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.37 % (1621768)CaDiCaL version: 2.1.3
% 3.71/1.37 % (1621768)Termination reason: Instruction limit
% 3.71/1.37 % (1621768)Termination phase: Saturation
% 3.71/1.37 % (1621768)Time elapsed: 0.028 s
% 3.71/1.37 % (1621768)Peak memory usage: 112 MB
% 3.71/1.37 % (1621768)Instructions burned: 13 (million)
% 3.71/1.37 % (1621774)Instruction limit reached!
% 3.71/1.37 % (1621774)------------------------------
% 3.71/1.37 % (1621774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.37 % (1621774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.37 % (1621774)CaDiCaL version: 2.1.3
% 3.71/1.37 % (1621774)Termination reason: Instruction limit
% 3.71/1.37 % (1621774)Termination phase: Saturation
% 3.71/1.37 % (1621774)Time elapsed: 0.043 s
% 3.71/1.37 % (1621774)Peak memory usage: 116 MB
% 3.71/1.37 % (1621774)Instructions burned: 34 (million)
% 3.71/1.37 % (1621773)Instruction limit reached!
% 3.71/1.37 % (1621773)------------------------------
% 3.71/1.37 % (1621773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.37 % (1621773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.37 % (1621773)CaDiCaL version: 2.1.3
% 3.71/1.37 % (1621773)Termination reason: Instruction limit
% 3.71/1.37 % (1621773)Termination phase: Saturation
% 3.71/1.37 % (1621773)Time elapsed: 0.054 s
% 3.71/1.37 % (1621773)Peak memory usage: 116 MB
% 3.71/1.37 % (1621773)Instructions burned: 47 (million)
% 3.71/1.37 % (1621772)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1594971128:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.71/1.37 % (1621772)Instruction limit reached!
% 3.71/1.37 % (1621772)------------------------------
% 3.71/1.37 % (1621772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.37 % (1621772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.37 % (1621772)CaDiCaL version: 2.1.3
% 3.71/1.37 % (1621772)Termination reason: Instruction limit
% 3.71/1.37 % (1621772)Termination phase: Property scanning
% 3.71/1.37 % (1621772)Time elapsed: 0.003 s
% 3.71/1.37 % (1621772)Peak memory usage: 86 MB
% 3.71/1.37 % (1621772)Instructions burned: 4 (million)
% 3.71/1.37 % (1621769)Instruction limit reached!
% 3.71/1.37 % (1621769)------------------------------
% 3.71/1.37 % (1621769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.37 % (1621769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.71 % (1621769)CaDiCaL version: 2.1.3
% 5.90/1.71 % (1621769)Termination reason: Instruction limit
% 5.90/1.71 % (1621769)Termination phase: Saturation
% 5.90/1.71 % (1621769)Time elapsed: 0.114 s
% 5.90/1.71 % (1621769)Peak memory usage: 117 MB
% 5.90/1.71 % (1621769)Instructions burned: 310 (million)
% 5.90/1.71 % (1621770)Instruction limit reached!
% 5.90/1.71 % (1621770)------------------------------
% 5.90/1.71 % (1621770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.71 % (1621770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.71 % (1621770)CaDiCaL version: 2.1.3
% 5.90/1.71 % (1621770)Termination reason: Instruction limit
% 5.90/1.71 % (1621770)Termination phase: Saturation
% 5.90/1.71 % (1621770)Time elapsed: 0.143 s
% 5.90/1.71 % (1621770)Peak memory usage: 117 MB
% 5.90/1.71 % (1621770)Instructions burned: 201 (million)
% 5.90/1.71 % (1621781)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1450128635:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 5.90/1.71 % (1621781)Instruction limit reached!
% 5.90/1.71 % (1621781)------------------------------
% 5.90/1.71 % (1621781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.71 % (1621781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.71 % (1621781)CaDiCaL version: 2.1.3
% 5.90/1.71 % (1621781)Termination reason: Instruction limit
% 5.90/1.71 % (1621781)Termination phase: Saturation
% 5.90/1.71 % (1621781)Time elapsed: 0.016 s
% 5.90/1.71 % (1621781)Peak memory usage: 88 MB
% 5.90/1.71 % (1621781)Instructions burned: 14 (million)
% 5.90/1.71 % (1621782)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3024772521:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 5.90/1.71 % (1621787)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2308603553:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 5.90/1.71 % (1621785)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=317821478:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 5.90/1.71 % (1621783)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=4037426794:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 5.90/1.71 % (1621782)Instruction limit reached!
% 5.90/1.71 % (1621782)------------------------------
% 5.90/1.71 % (1621782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.71 % (1621782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.71 % (1621782)CaDiCaL version: 2.1.3
% 5.90/1.71 % (1621782)Termination reason: Instruction limit
% 5.90/1.71 % (1621782)Termination phase: Saturation
% 5.90/1.71 % (1621782)Time elapsed: 0.031 s
% 5.90/1.71 % (1621782)Peak memory usage: 88 MB
% 5.90/1.71 % (1621782)Instructions burned: 29 (million)
% 5.90/1.71 % (1621783)Instruction limit reached!
% 5.90/1.71 % (1621783)------------------------------
% 5.90/1.71 % (1621783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.71 % (1621783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.71 % (1621783)CaDiCaL version: 2.1.3
% 5.90/1.71 % (1621783)Termination reason: Instruction limit
% 5.90/1.71 % (1621783)Termination phase: Saturation
% 5.90/1.71 % (1621783)Time elapsed: 0.015 s
% 5.90/1.71 % (1621783)Peak memory usage: 89 MB
% 5.90/1.71 % (1621783)Instructions burned: 16 (million)
% 5.90/1.71 % (1621785)Instruction limit reached!
% 5.90/1.71 % (1621785)------------------------------
% 5.90/1.71 % (1621785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.71 % (1621785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.71 % (1621785)CaDiCaL version: 2.1.3
% 5.90/1.71 % (1621785)Termination reason: Instruction limit
% 5.90/1.71 % (1621785)Termination phase: Saturation
% 5.90/1.71 % (1621785)Time elapsed: 0.028 s
% 5.90/1.71 % (1621785)Peak memory usage: 89 MB
% 5.90/1.71 % (1621785)Instructions burned: 24 (million)
% 5.90/1.71 % (1621787)Instruction limit reached!
% 5.90/1.71 % (1621787)------------------------------
% 5.90/1.71 % (1621787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.71 % (1621787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.71 % (1621787)CaDiCaL version: 2.1.3
% 5.90/1.71 % (1621787)Termination reason: Instruction limit
% 5.90/1.76 % (1621787)Termination phase: Saturation
% 5.90/1.76 % (1621787)Time elapsed: 0.042 s
% 5.90/1.76 % (1621787)Peak memory usage: 89 MB
% 5.90/1.76 % (1621787)Instructions burned: 87 (million)
% 5.90/1.76 % (1621796)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3034477604:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.90/1.76 % (1621796)Instruction limit reached!
% 5.90/1.76 % (1621796)------------------------------
% 5.90/1.76 % (1621796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.76 % (1621796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.76 % (1621796)CaDiCaL version: 2.1.3
% 5.90/1.76 % (1621796)Termination reason: Instruction limit
% 5.90/1.76 % (1621796)Termination phase: Preprocessing 3
% 5.90/1.76 % (1621796)Time elapsed: 0.002 s
% 5.90/1.76 % (1621796)Peak memory usage: 86 MB
% 5.90/1.76 % (1621796)Instructions burned: 3 (million)
% 5.90/1.76 % (1621786)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=2820637911:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 5.90/1.77 % (1621786)Instruction limit reached!
% 5.90/1.77 % (1621786)------------------------------
% 5.90/1.77 % (1621786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.77 % (1621786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.77 % (1621786)CaDiCaL version: 2.1.3
% 5.90/1.77 % (1621786)Termination reason: Instruction limit
% 5.90/1.77 % (1621786)Termination phase: Saturation
% 5.90/1.77 % (1621786)Time elapsed: 0.031 s
% 5.90/1.77 % (1621786)Peak memory usage: 89 MB
% 5.90/1.77 % (1621786)Instructions burned: 27 (million)
% 5.90/1.77 % (1621798)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1409878968:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.90/1.77 % (1621798)First to succeed.
% 5.90/1.77 % (1621798)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1621681"
% 5.90/1.77 % (1621813)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=2382137384:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 5.90/1.77 % (1621805)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=848079644:i=4:ep=RST:ins=2:rtra=on_2995 on theBenchmark for (2995ds/4Mi)
% 5.90/1.77 % (1621805)Instruction limit reached!
% 5.90/1.77 % (1621805)------------------------------
% 5.90/1.77 % (1621805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.77 % (1621805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.77 % (1621805)CaDiCaL version: 2.1.3
% 5.90/1.77 % (1621805)Termination reason: Instruction limit
% 5.90/1.77 % (1621805)Termination phase: Property scanning
% 5.90/1.77 % (1621805)Time elapsed: 0.005 s
% 5.90/1.77 % (1621805)Peak memory usage: 86 MB
% 5.90/1.77 % (1621805)Instructions burned: 5 (million)
% 5.90/1.77 % (1621813)Instruction limit reached!
% 5.90/1.77 % (1621813)------------------------------
% 5.90/1.77 % (1621813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.77 % (1621813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.77 % (1621813)CaDiCaL version: 2.1.3
% 5.90/1.77 % (1621813)Termination reason: Instruction limit
% 5.90/1.77 % (1621813)Termination phase: Property scanning
% 5.90/1.77 % (1621813)Time elapsed: 0.008 s
% 5.90/1.77 % (1621813)Peak memory usage: 86 MB
% 5.90/1.77 % (1621813)Instructions burned: 8 (million)
% 5.90/1.77 % (1621818)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3465135040:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 5.90/1.77 % (1621810)lrs+10_1_thi=all:si=on:fd=off:random_seed=2023129340:i=53:rtra=on:gtg=all_2995 on theBenchmark for (2995ds/53Mi)
% 5.90/1.77 % (1621818)Instruction limit reached!
% 5.90/1.77 % (1621818)------------------------------
% 5.90/1.77 % (1621818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.77 % (1621818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.77 % (1621818)CaDiCaL version: 2.1.3
% 5.90/1.77 % (1621818)Termination reason: Instruction limit
% 5.90/1.77 % (1621818)Termination phase: Clausification
% 5.90/1.77 % (1621818)Time elapsed: 0.002 s
% 5.90/1.77 % (1621818)Peak memory usage: 86 MB
% 5.90/1.77 % (1621818)Instructions burned: 3 (million)
% 5.90/1.77 % (1621806)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1383819105:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2995 on theBenchmark for (2995ds/66Mi)
% 5.90/1.77 % (1621810)Instruction limit reached!
% 5.90/1.77 % (1621810)------------------------------
% 5.90/1.77 % (1621810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.77 % (1621810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.77 % (1621810)CaDiCaL version: 2.1.3
% 5.90/1.77 % (1621810)Termination reason: Instruction limit
% 5.90/1.77 % (1621810)Termination phase: Saturation
% 5.90/1.77 % (1621810)Time elapsed: 0.069 s
% 5.90/1.77 % (1621810)Peak memory usage: 116 MB
% 5.90/1.77 % (1621810)Instructions burned: 53 (million)
% 5.90/1.77 % (1621821)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2985009614:i=2:doe=on:canc=force:asg=cautious:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 5.90/1.77 % (1621821)Instruction limit reached!
% 5.90/1.77 % (1621821)------------------------------
% 5.90/1.77 % (1621821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.77 % (1621821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.77 % (1621821)CaDiCaL version: 2.1.3
% 5.90/1.77 % (1621821)Termination reason: Instruction limit
% 5.90/1.77 % (1621821)Termination phase: Preprocessing 1
% 5.90/1.77 % (1621821)Time elapsed: 0.002 s
% 5.90/1.77 % (1621821)Peak memory usage: 85 MB
% 5.90/1.77 % (1621821)Instructions burned: 2 (million)
% 5.90/1.77 % (1621806)Instruction limit reached!
% 5.90/1.77 % (1621806)------------------------------
% 5.90/1.77 % (1621806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.77 % (1621806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.77 % (1621806)CaDiCaL version: 2.1.3
% 5.90/1.77 % (1621806)Termination reason: Instruction limit
% 5.90/1.77 % (1621806)Termination phase: Saturation
% 5.90/1.77 % (1621806)Time elapsed: 0.128 s
% 5.90/1.77 % (1621806)Peak memory usage: 133 MB
% 5.90/1.77 % (1621806)Instructions burned: 66 (million)
% 5.90/1.77 % (1621836)dis+10_1_si=on:random_seed=3676299422:i=10:ep=R:rtra=on_2993 on theBenchmark for (2993ds/10Mi)
% 5.90/1.77 % (1621836)Instruction limit reached!
% 5.90/1.77 % (1621836)------------------------------
% 5.90/1.77 % (1621836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.77 % (1621836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.77 % (1621836)CaDiCaL version: 2.1.3
% 5.90/1.77 % (1621836)Termination reason: Instruction limit
% 5.90/1.77 % (1621836)Termination phase: Saturation
% 5.90/1.77 % (1621836)Time elapsed: 0.006 s
% 5.90/1.77 % (1621836)Peak memory usage: 88 MB
% 5.90/1.77 % (1621836)Instructions burned: 10 (million)
% 5.90/1.77 % (1621837)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=1398107998:i=26:canc=cautious:av=off:rtra=on_2993 on theBenchmark for (2993ds/26Mi)
% 5.90/1.77 % (1621837)Instruction limit reached!
% 5.90/1.77 % (1621837)------------------------------
% 5.90/1.77 % (1621837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.77 % (1621837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.77 % (1621837)CaDiCaL version: 2.1.3
% 5.90/1.77 % (1621837)Termination reason: Instruction limit
% 5.90/1.77 % (1621837)Termination phase: Saturation
% 5.90/1.77 % (1621837)Time elapsed: 0.026 s
% 5.90/1.77 % (1621837)Peak memory usage: 89 MB
% 5.90/1.77 % (1621837)Instructions burned: 26 (million)
% 5.90/1.77 % (1621833)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=1730964586:i=127:doe=on:rtra=on_2993 on theBenchmark for (2993ds/127Mi)
% 5.90/1.77 % (1621846)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=1496460754:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2992 on theBenchmark for (2992ds/35Mi)
% 5.90/1.77 % (1621848)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=990288353:i=2:fsr=off:rtra=on:inst=on_2991 on theBenchmark for (2991ds/2Mi)
% 5.90/1.77 % (1621849)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=619626197:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2991 on theBenchmark for (2991ds/8Mi)
% 5.90/1.77 % (1621848)Instruction limit reached!
% 5.90/1.77 % (1621848)------------------------------
% 5.90/1.77 % (1621848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.77 % (1621848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.77 % (1621848)CaDiCaL version: 2.1.3
% 5.90/1.77 % (1621848)Termination reason: Instruction limit
% 5.90/1.77 % (1621848)Termination phase: shuffling
% 5.90/1.77 % (1621848)Time elapsed: 0.002 s
% 5.90/1.77 % (1621848)Peak memory usage: 85 MB
% 5.90/1.77 % (1621848)Instructions burned: 2 (million)
% 5.90/1.77 % (1621849)Instruction limit reached!
% 5.90/1.77 % (1621849)------------------------------
% 5.90/1.77 % (1621849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.77 % (1621849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.77 % (1621849)CaDiCaL version: 2.1.3
% 5.90/1.77 % (1621849)Termination reason: Instruction limit
% 5.90/1.77 % (1621849)Termination phase: Saturation
% 5.90/1.77 % (1621849)Time elapsed: 0.009 s
% 5.90/1.77 % (1621849)Peak memory usage: 88 MB
% 5.90/1.77 % (1621849)Instructions burned: 8 (million)
% 5.90/1.77 % (1621846)Instruction limit reached!
% 5.90/1.77 % (1621846)------------------------------
% 5.90/1.77 % (1621846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.77 % (1621846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.77 % (1621846)CaDiCaL version: 2.1.3
% 5.90/1.77 % (1621846)Termination reason: Instruction limit
% 5.90/1.77 % (1621846)Termination phase: Saturation
% 5.90/1.77 % (1621846)Time elapsed: 0.039 s
% 5.90/1.77 % (1621846)Peak memory usage: 89 MB
% 5.90/1.77 % (1621846)Instructions burned: 35 (million)
% 5.90/1.77 % (1621798)Refutation found. Thanks to Tanya!
% 5.90/1.77 % SZS status Theorem for theBenchmark
% 5.90/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 8.10/2.03 % (1621798)------------------------------
% 8.10/2.03 % (1621798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/2.03 % (1621798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/2.03 % (1621798)CaDiCaL version: 2.1.3
% 8.10/2.03 % (1621798)Termination reason: Refutation
% 8.10/2.03 % (1621798)Time elapsed: 0.077 s
% 8.10/2.03 % (1621798)Peak memory usage: 91 MB
% 8.10/2.03 % (1621798)Instructions burned: 84 (million)
% 8.10/2.03 % (1621798)------------------------------
% 8.10/2.03 % (1621798)------------------------------
% 8.10/2.03 % (1621681)Success in time 1.088 s
% 8.10/2.03 % Vampire exiting
%------------------------------------------------------------------------------