%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW625_2 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 01:40:33 PM UTC 2026
% Result : Theorem 9.24s 1.77s
% Output : Refutation 9.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 11
% Syntax : Number of formulae : 83 ( 35 unt; 0 typ; 6 def)
% Number of atoms : 252 ( 35 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 258 ( 89 ~; 97 |; 46 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 6 ( 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 : 59 ( 59 usr; 29 con; 0-5 aty)
% Number of variables : 126 ( 107 !; 19 ?; 126 :)
% 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_31,type,
sK0: ( ty * uni * uni ) > uni ).
tff(func_def_32,type,
sK1: ( ty * uni * uni ) > uni ).
tff(func_def_33,type,
sK2: ( ty * uni * uni ) > uni ).
tff(func_def_34,type,
sK3: list_elt > elt ).
tff(func_def_35,type,
sK4: list_elt > elt ).
tff(func_def_36,type,
sK5: list_elt > elt ).
tff(func_def_37,type,
sK6: list_elt > list_elt ).
tff(func_def_38,type,
sK7: ( elt * list_elt ) > elt ).
tff(func_def_39,type,
sK8: ( list_elt * list_elt ) > elt ).
tff(func_def_40,type,
sK9: ( list_elt * list_elt ) > elt ).
tff(func_def_41,type,
sK10: ( list_elt * elt ) > elt ).
tff(func_def_42,type,
sK11: ( list_elt * list_elt ) > elt ).
tff(func_def_43,type,
sK12: ( list_elt * list_elt ) > elt ).
tff(func_def_44,type,
sK13: list_elt ).
tff(func_def_45,type,
sK14: list_elt ).
tff(func_def_46,type,
sK15: list_elt ).
tff(func_def_47,type,
sK16: elt ).
tff(func_def_48,type,
sK17: list_elt ).
tff(func_def_49,type,
sF18: uni ).
tff(func_def_50,type,
sF19: uni ).
tff(func_def_51,type,
sF20: uni ).
tff(func_def_52,type,
sF21: uni ).
tff(func_def_53,type,
sF22: list_elt ).
tff(func_def_54,type,
sF23: uni ).
tff(func_def_55,type,
sF24: list_elt ).
tff(func_def_56,type,
sF25: uni ).
tff(func_def_57,type,
sF26: uni ).
tff(func_def_58,type,
sF27: uni ).
tff(func_def_59,type,
sF28: list_elt ).
tff(func_def_60,type,
sF29: uni ).
tff(func_def_61,type,
sF30: uni ).
tff(func_def_62,type,
sF31: list_elt ).
tff(func_def_63,type,
sF32: 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(f26,axiom,
! [X0: ty,X1: uni] : ( infix_plpl(X0,X1,nil(X0)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',append_l_nil) ).
tff(f72,axiom,
! [X0: ty,X1: uni,X2: uni,X3: uni] : ( rev_append(X0,X1,infix_plpl(X0,X2,X3)) = rev_append(X0,rev_append(X0,X2,X1),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rev_append_append_r) ).
tff(f74,axiom,
! [X0: ty,X1: uni,X2: uni] : ( rev_append(X0,X1,X2) = infix_plpl(X0,reverse(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rev_append_def1) ).
tff(f76,axiom,
! [X0: list_elt,X1: list_elt] :
( sorted(tb2t(reverse(elt1,t2tb(X0))))
=> ( sorted(X1)
=> ( ! [X2: elt,X3: elt] :
( mem(elt1,t2tb1(X2),t2tb(X0))
=> ( mem(elt1,t2tb1(X3),t2tb(X1))
=> le(X2,X3) ) )
=> sorted(tb2t(reverse(elt1,rev_append(elt1,t2tb(X1),t2tb(X0))))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sorted_rev_append) ).
tff(f79,conjecture,
! [X0: list_elt,X1: list_elt,X2: list_elt] :
( ( sorted(X2)
& sorted(tb2t(reverse(elt1,t2tb(X0))))
& sorted(tb2t(reverse(elt1,t2tb(X1))))
& ! [X3: elt,X4: elt] :
( mem(elt1,t2tb1(X3),t2tb(X2))
=> ( mem(elt1,t2tb1(X4),t2tb(X0))
=> le(X4,X3) ) )
& ! [X3: elt,X4: elt] :
( mem(elt1,t2tb1(X3),t2tb(X2))
=> ( mem(elt1,t2tb1(X4),t2tb(X1))
=> le(X4,X3) ) ) )
=> ! [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/sandbox/benchmark/theBenchmark.p',wP_parameter_rev_merge_rev) ).
tff(f80,negated_conjecture,
~ ! [X0: list_elt,X1: list_elt,X2: list_elt] :
( ( sorted(X2)
& sorted(tb2t(reverse(elt1,t2tb(X0))))
& sorted(tb2t(reverse(elt1,t2tb(X1))))
& ! [X3: elt,X4: elt] :
( mem(elt1,t2tb1(X3),t2tb(X2))
=> ( mem(elt1,t2tb1(X4),t2tb(X0))
=> le(X4,X3) ) )
& ! [X3: elt,X4: elt] :
( mem(elt1,t2tb1(X3),t2tb(X2))
=> ( mem(elt1,t2tb1(X4),t2tb(X1))
=> le(X4,X3) ) ) )
=> ! [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(f103,plain,
~ ! [X0: list_elt,X1: list_elt,X2: list_elt] :
( ( sorted(X2)
& sorted(tb2t(reverse(elt1,t2tb(X0))))
& sorted(tb2t(reverse(elt1,t2tb(X1))))
& ! [X3: elt,X4: elt] :
( mem(elt1,t2tb1(X3),t2tb(X2))
=> ( mem(elt1,t2tb1(X4),t2tb(X0))
=> le(X4,X3) ) )
& ! [X5: elt,X6: elt] :
( mem(elt1,t2tb1(X5),t2tb(X2))
=> ( mem(elt1,t2tb1(X6),t2tb(X1))
=> le(X6,X5) ) ) )
=> ! [X7: elt,X8: list_elt] :
( ( tb2t(cons(elt1,t2tb1(X7),t2tb(X8))) = X1 )
=> ( ( X0 = tb2t(nil(elt1)) )
=> sorted(tb2t(rev_append(elt1,t2tb(X1),t2tb(X2)))) ) ) ),
inference(rectify,[],[f80]) ).
tff(f136,plain,
! [X0: list_elt,X1: list_elt] :
( sorted(tb2t(reverse(elt1,rev_append(elt1,t2tb(X1),t2tb(X0)))))
| ? [X2: elt,X3: elt] :
( ~ le(X2,X3)
& mem(elt1,t2tb1(X3),t2tb(X1))
& mem(elt1,t2tb1(X2),t2tb(X0)) )
| ~ sorted(X1)
| ~ sorted(tb2t(reverse(elt1,t2tb(X0)))) ),
inference(ennf_transformation,[],[f76]) ).
tff(f137,plain,
! [X0: list_elt,X1: list_elt] :
( sorted(tb2t(reverse(elt1,rev_append(elt1,t2tb(X1),t2tb(X0)))))
| ? [X2: elt,X3: elt] :
( ~ le(X2,X3)
& mem(elt1,t2tb1(X3),t2tb(X1))
& mem(elt1,t2tb1(X2),t2tb(X0)) )
| ~ sorted(X1)
| ~ sorted(tb2t(reverse(elt1,t2tb(X0)))) ),
inference(flattening,[],[f136]) ).
tff(f140,plain,
? [X0: list_elt,X1: list_elt,X2: list_elt] :
( ? [X7: elt,X8: list_elt] :
( ~ sorted(tb2t(rev_append(elt1,t2tb(X1),t2tb(X2))))
& ( X0 = tb2t(nil(elt1)) )
& ( tb2t(cons(elt1,t2tb1(X7),t2tb(X8))) = X1 ) )
& sorted(X2)
& sorted(tb2t(reverse(elt1,t2tb(X0))))
& sorted(tb2t(reverse(elt1,t2tb(X1))))
& ! [X3: elt,X4: elt] :
( le(X4,X3)
| ~ mem(elt1,t2tb1(X4),t2tb(X0))
| ~ mem(elt1,t2tb1(X3),t2tb(X2)) )
& ! [X5: elt,X6: elt] :
( le(X6,X5)
| ~ mem(elt1,t2tb1(X6),t2tb(X1))
| ~ mem(elt1,t2tb1(X5),t2tb(X2)) ) ),
inference(ennf_transformation,[],[f103]) ).
tff(f141,plain,
? [X0: list_elt,X1: list_elt,X2: list_elt] :
( ? [X7: elt,X8: list_elt] :
( ~ sorted(tb2t(rev_append(elt1,t2tb(X1),t2tb(X2))))
& ( X0 = tb2t(nil(elt1)) )
& ( tb2t(cons(elt1,t2tb1(X7),t2tb(X8))) = X1 ) )
& sorted(X2)
& sorted(tb2t(reverse(elt1,t2tb(X0))))
& sorted(tb2t(reverse(elt1,t2tb(X1))))
& ! [X3: elt,X4: elt] :
( le(X4,X3)
| ~ mem(elt1,t2tb1(X4),t2tb(X0))
| ~ mem(elt1,t2tb1(X3),t2tb(X2)) )
& ! [X5: elt,X6: elt] :
( le(X6,X5)
| ~ mem(elt1,t2tb1(X6),t2tb(X1))
| ~ mem(elt1,t2tb1(X5),t2tb(X2)) ) ),
inference(flattening,[],[f140]) ).
tff(f161,plain,
! [X0: list_elt,X1: list_elt] :
( sorted(tb2t(reverse(elt1,rev_append(elt1,t2tb(X1),t2tb(X0)))))
| ( ~ le(sK11(X0,X1),sK12(X0,X1))
& mem(elt1,t2tb1(sK12(X0,X1)),t2tb(X1))
& mem(elt1,t2tb1(sK11(X0,X1)),t2tb(X0)) )
| ~ sorted(X1)
| ~ sorted(tb2t(reverse(elt1,t2tb(X0)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X2,sK11(X0,X1)),skolemize(X3,sK12(X0,X1))],[f137]) ).
tff(f162,plain,
? [X0: list_elt,X1: list_elt,X2: list_elt] :
( ? [X3: elt,X4: list_elt] :
( ~ sorted(tb2t(rev_append(elt1,t2tb(X1),t2tb(X2))))
& ( X0 = tb2t(nil(elt1)) )
& ( tb2t(cons(elt1,t2tb1(X3),t2tb(X4))) = X1 ) )
& sorted(X2)
& sorted(tb2t(reverse(elt1,t2tb(X0))))
& sorted(tb2t(reverse(elt1,t2tb(X1))))
& ! [X5: elt,X6: elt] :
( le(X6,X5)
| ~ mem(elt1,t2tb1(X6),t2tb(X0))
| ~ mem(elt1,t2tb1(X5),t2tb(X2)) )
& ! [X7: elt,X8: elt] :
( le(X8,X7)
| ~ mem(elt1,t2tb1(X8),t2tb(X1))
| ~ mem(elt1,t2tb1(X7),t2tb(X2)) ) ),
inference(rectify,[],[f141]) ).
tff(f163,plain,
( ~ sorted(tb2t(rev_append(elt1,t2tb(sK14),t2tb(sK15))))
& ( tb2t(nil(elt1)) = sK13 )
& ( sK14 = tb2t(cons(elt1,t2tb1(sK16),t2tb(sK17))) )
& sorted(sK15)
& sorted(tb2t(reverse(elt1,t2tb(sK13))))
& sorted(tb2t(reverse(elt1,t2tb(sK14))))
& ! [X5: elt,X6: elt] :
( le(X6,X5)
| ~ mem(elt1,t2tb1(X6),t2tb(sK13))
| ~ mem(elt1,t2tb1(X5),t2tb(sK15)) )
& ! [X7: elt,X8: elt] :
( le(X8,X7)
| ~ mem(elt1,t2tb1(X8),t2tb(sK14))
| ~ mem(elt1,t2tb1(X7),t2tb(sK15)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15),skolemize(X3,sK16),skolemize(X4,sK17)],[f162]) ).
tff(f192,plain,
! [X0: ty,X1: uni] : ( infix_plpl(X0,X1,nil(X0)) = X1 ),
inference(cnf_transformation,[],[f26]) ).
tff(f263,plain,
! [X2: uni,X3: uni,X0: ty,X1: uni] : ( rev_append(X0,X1,infix_plpl(X0,X2,X3)) = rev_append(X0,rev_append(X0,X2,X1),X3) ),
inference(cnf_transformation,[],[f72]) ).
tff(f265,plain,
! [X2: uni,X0: ty,X1: uni] : ( rev_append(X0,X1,X2) = infix_plpl(X0,reverse(X0,X1),X2) ),
inference(cnf_transformation,[],[f74]) ).
tff(f268,plain,
! [X0: list_elt,X1: list_elt] :
( sorted(tb2t(reverse(elt1,rev_append(elt1,t2tb(X1),t2tb(X0)))))
| mem(elt1,t2tb1(sK11(X0,X1)),t2tb(X0))
| ~ sorted(X1)
| ~ sorted(tb2t(reverse(elt1,t2tb(X0)))) ),
inference(cnf_transformation,[],[f161]) ).
tff(f269,plain,
! [X0: list_elt,X1: list_elt] :
( sorted(tb2t(reverse(elt1,rev_append(elt1,t2tb(X1),t2tb(X0)))))
| mem(elt1,t2tb1(sK12(X0,X1)),t2tb(X1))
| ~ sorted(X1)
| ~ sorted(tb2t(reverse(elt1,t2tb(X0)))) ),
inference(cnf_transformation,[],[f161]) ).
tff(f270,plain,
! [X0: list_elt,X1: list_elt] :
( sorted(tb2t(reverse(elt1,rev_append(elt1,t2tb(X1),t2tb(X0)))))
| ~ le(sK11(X0,X1),sK12(X0,X1))
| ~ sorted(X1)
| ~ sorted(tb2t(reverse(elt1,t2tb(X0)))) ),
inference(cnf_transformation,[],[f161]) ).
tff(f273,plain,
! [X8: elt,X7: elt] :
( le(X8,X7)
| ~ mem(elt1,t2tb1(X8),t2tb(sK14))
| ~ mem(elt1,t2tb1(X7),t2tb(sK15)) ),
inference(cnf_transformation,[],[f163]) ).
tff(f275,plain,
sorted(tb2t(reverse(elt1,t2tb(sK14)))),
inference(cnf_transformation,[],[f163]) ).
tff(f277,plain,
sorted(sK15),
inference(cnf_transformation,[],[f163]) ).
tff(f280,plain,
~ sorted(tb2t(rev_append(elt1,t2tb(sK14),t2tb(sK15)))),
inference(cnf_transformation,[],[f163]) ).
tff(f285,plain,
! [X2: uni,X3: uni,X0: ty,X1: uni] : ( infix_plpl(X0,reverse(X0,X1),infix_plpl(X0,X2,X3)) = infix_plpl(X0,reverse(X0,infix_plpl(X0,reverse(X0,X2),X1)),X3) ),
inference(definition_unfolding,[],[f263,f265,f265,f265]) ).
tff(f287,plain,
! [X0: list_elt,X1: list_elt] :
( ~ le(sK11(X0,X1),sK12(X0,X1))
| sorted(tb2t(reverse(elt1,infix_plpl(elt1,reverse(elt1,t2tb(X1)),t2tb(X0)))))
| ~ sorted(X1)
| ~ sorted(tb2t(reverse(elt1,t2tb(X0)))) ),
inference(definition_unfolding,[],[f270,f265]) ).
tff(f288,plain,
! [X0: list_elt,X1: list_elt] :
( sorted(tb2t(reverse(elt1,infix_plpl(elt1,reverse(elt1,t2tb(X1)),t2tb(X0)))))
| mem(elt1,t2tb1(sK12(X0,X1)),t2tb(X1))
| ~ sorted(X1)
| ~ sorted(tb2t(reverse(elt1,t2tb(X0)))) ),
inference(definition_unfolding,[],[f269,f265]) ).
tff(f289,plain,
! [X0: list_elt,X1: list_elt] :
( sorted(tb2t(reverse(elt1,infix_plpl(elt1,reverse(elt1,t2tb(X1)),t2tb(X0)))))
| mem(elt1,t2tb1(sK11(X0,X1)),t2tb(X0))
| ~ sorted(X1)
| ~ sorted(tb2t(reverse(elt1,t2tb(X0)))) ),
inference(definition_unfolding,[],[f268,f265]) ).
tff(f290,plain,
~ sorted(tb2t(infix_plpl(elt1,reverse(elt1,t2tb(sK14)),t2tb(sK15)))),
inference(definition_unfolding,[],[f280,f265]) ).
tff(f295,definition,
sF18 = t2tb(sK14),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
tff(f296,plain,
t2tb(sK14) = sF18,
inference(reorient_equations,[],[f295]) ).
tff(f297,definition,
sF19 = reverse(elt1,sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
tff(f298,plain,
reverse(elt1,sF18) = sF19,
inference(reorient_equations,[],[f297]) ).
tff(f299,definition,
sF20 = t2tb(sK15),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
tff(f300,plain,
t2tb(sK15) = sF20,
inference(reorient_equations,[],[f299]) ).
tff(f301,definition,
sF21 = infix_plpl(elt1,sF19,sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
tff(f302,plain,
infix_plpl(elt1,sF19,sF20) = sF21,
inference(reorient_equations,[],[f301]) ).
tff(f303,definition,
sF22 = tb2t(sF21),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
tff(f304,plain,
tb2t(sF21) = sF22,
inference(reorient_equations,[],[f303]) ).
tff(f305,plain,
~ sorted(sF22),
inference(definition_folding,[],[f290,f304,f302,f300,f298,f296]) ).
tff(f327,definition,
sF32 = tb2t(sF19),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
tff(f328,plain,
tb2t(sF19) = sF32,
inference(reorient_equations,[],[f327]) ).
tff(f329,plain,
sorted(sF32),
inference(definition_folding,[],[f275,f328,f298,f296]) ).
tff(f331,plain,
! [X8: elt,X7: elt] :
( ~ mem(elt1,t2tb1(X8),sF18)
| le(X8,X7)
| ~ mem(elt1,t2tb1(X7),sF20) ),
inference(definition_folding,[],[f273,f300,f296]) ).
tff(f1842,plain,
! [X2: uni,X0: ty,X1: uni] : ( reverse(X0,infix_plpl(X0,reverse(X0,X2),X1)) = infix_plpl(X0,reverse(X0,X1),infix_plpl(X0,X2,nil(X0))) ),
inference(superposition,[],[f192,f285]) ).
tff(f1846,plain,
! [X2: uni,X0: ty,X1: uni] : ( infix_plpl(X0,reverse(X0,X1),X2) = reverse(X0,infix_plpl(X0,reverse(X0,X2),X1)) ),
inference(forward_demodulation,[],[f1842,f192]) ).
tff(f2083,plain,
! [X0: list_elt] :
( sorted(tb2t(reverse(elt1,infix_plpl(elt1,reverse(elt1,t2tb(X0)),sF18))))
| mem(elt1,t2tb1(sK12(sK14,X0)),t2tb(X0))
| ~ sorted(X0)
| ~ sorted(tb2t(reverse(elt1,sF18))) ),
inference(superposition,[],[f288,f296]) ).
tff(f2096,plain,
! [X0: list_elt] :
( sorted(tb2t(infix_plpl(elt1,reverse(elt1,sF18),t2tb(X0))))
| mem(elt1,t2tb1(sK12(sK14,X0)),t2tb(X0))
| ~ sorted(X0)
| ~ sorted(tb2t(reverse(elt1,sF18))) ),
inference(forward_demodulation,[],[f2083,f1846]) ).
tff(f2110,plain,
! [X0: list_elt] :
( sorted(tb2t(infix_plpl(elt1,sF19,t2tb(X0))))
| mem(elt1,t2tb1(sK12(sK14,X0)),t2tb(X0))
| ~ sorted(X0)
| ~ sorted(tb2t(reverse(elt1,sF18))) ),
inference(forward_demodulation,[],[f2096,f298]) ).
tff(f2118,plain,
! [X0: list_elt] :
( ~ sorted(tb2t(sF19))
| sorted(tb2t(infix_plpl(elt1,sF19,t2tb(X0))))
| mem(elt1,t2tb1(sK12(sK14,X0)),t2tb(X0))
| ~ sorted(X0) ),
inference(forward_demodulation,[],[f2110,f298]) ).
tff(f2124,plain,
! [X0: list_elt] :
( ~ sorted(sF32)
| sorted(tb2t(infix_plpl(elt1,sF19,t2tb(X0))))
| mem(elt1,t2tb1(sK12(sK14,X0)),t2tb(X0))
| ~ sorted(X0) ),
inference(forward_demodulation,[],[f2118,f328]) ).
tff(f2128,plain,
! [X0: list_elt] :
( mem(elt1,t2tb1(sK12(sK14,X0)),t2tb(X0))
| sorted(tb2t(infix_plpl(elt1,sF19,t2tb(X0))))
| ~ sorted(X0) ),
inference(forward_subsumption_resolution,[],[f2124,f329]) ).
tff(f2153,plain,
! [X0: list_elt] :
( sorted(tb2t(reverse(elt1,infix_plpl(elt1,reverse(elt1,sF20),t2tb(X0)))))
| mem(elt1,t2tb1(sK11(X0,sK15)),t2tb(X0))
| ~ sorted(sK15)
| ~ sorted(tb2t(reverse(elt1,t2tb(X0)))) ),
inference(superposition,[],[f289,f300]) ).
tff(f2179,plain,
! [X0: list_elt] :
( sorted(tb2t(reverse(elt1,infix_plpl(elt1,reverse(elt1,sF20),t2tb(X0)))))
| mem(elt1,t2tb1(sK11(X0,sK15)),t2tb(X0))
| ~ sorted(tb2t(reverse(elt1,t2tb(X0)))) ),
inference(forward_subsumption_resolution,[],[f2153,f277]) ).
tff(f2191,plain,
! [X0: list_elt] :
( sorted(tb2t(infix_plpl(elt1,reverse(elt1,t2tb(X0)),sF20)))
| mem(elt1,t2tb1(sK11(X0,sK15)),t2tb(X0))
| ~ sorted(tb2t(reverse(elt1,t2tb(X0)))) ),
inference(forward_demodulation,[],[f2179,f1846]) ).
tff(f2603,plain,
( mem(elt1,t2tb1(sK12(sK14,sK15)),sF20)
| sorted(tb2t(infix_plpl(elt1,sF19,sF20)))
| ~ sorted(sK15) ),
inference(superposition,[],[f2128,f300]) ).
tff(f2610,plain,
( mem(elt1,t2tb1(sK12(sK14,sK15)),sF20)
| sorted(tb2t(infix_plpl(elt1,sF19,sF20))) ),
inference(forward_subsumption_resolution,[],[f2603,f277]) ).
tff(f2613,plain,
( sorted(tb2t(sF21))
| mem(elt1,t2tb1(sK12(sK14,sK15)),sF20) ),
inference(forward_demodulation,[],[f2610,f302]) ).
tff(f2616,plain,
( sorted(sF22)
| mem(elt1,t2tb1(sK12(sK14,sK15)),sF20) ),
inference(forward_demodulation,[],[f2613,f304]) ).
tff(f2619,plain,
mem(elt1,t2tb1(sK12(sK14,sK15)),sF20),
inference(forward_subsumption_resolution,[],[f2616,f305]) ).
tff(f2686,plain,
( mem(elt1,t2tb1(sK11(sK14,sK15)),sF18)
| sorted(tb2t(infix_plpl(elt1,reverse(elt1,sF18),sF20)))
| ~ sorted(tb2t(reverse(elt1,sF18))) ),
inference(superposition,[],[f2191,f296]) ).
tff(f2694,plain,
( sorted(tb2t(infix_plpl(elt1,sF19,sF20)))
| mem(elt1,t2tb1(sK11(sK14,sK15)),sF18)
| ~ sorted(tb2t(reverse(elt1,sF18))) ),
inference(forward_demodulation,[],[f2686,f298]) ).
tff(f2703,plain,
( sorted(tb2t(sF21))
| mem(elt1,t2tb1(sK11(sK14,sK15)),sF18)
| ~ sorted(tb2t(reverse(elt1,sF18))) ),
inference(forward_demodulation,[],[f2694,f302]) ).
tff(f2712,plain,
( sorted(sF22)
| mem(elt1,t2tb1(sK11(sK14,sK15)),sF18)
| ~ sorted(tb2t(reverse(elt1,sF18))) ),
inference(forward_demodulation,[],[f2703,f304]) ).
tff(f2720,plain,
( mem(elt1,t2tb1(sK11(sK14,sK15)),sF18)
| ~ sorted(tb2t(reverse(elt1,sF18))) ),
inference(forward_subsumption_resolution,[],[f2712,f305]) ).
tff(f2727,plain,
( ~ sorted(tb2t(sF19))
| mem(elt1,t2tb1(sK11(sK14,sK15)),sF18) ),
inference(forward_demodulation,[],[f2720,f298]) ).
tff(f2731,plain,
( ~ sorted(sF32)
| mem(elt1,t2tb1(sK11(sK14,sK15)),sF18) ),
inference(forward_demodulation,[],[f2727,f328]) ).
tff(f2734,plain,
mem(elt1,t2tb1(sK11(sK14,sK15)),sF18),
inference(forward_subsumption_resolution,[],[f2731,f329]) ).
tff(f2759,plain,
! [X0: elt] :
( ~ mem(elt1,t2tb1(X0),sF20)
| le(sK11(sK14,sK15),X0) ),
inference(resolution,[],[f2734,f331]) ).
tff(f3221,plain,
le(sK11(sK14,sK15),sK12(sK14,sK15)),
inference(resolution,[],[f2759,f2619]) ).
tff(f3249,plain,
( sorted(tb2t(reverse(elt1,infix_plpl(elt1,reverse(elt1,t2tb(sK15)),t2tb(sK14)))))
| ~ sorted(sK15)
| ~ sorted(tb2t(reverse(elt1,t2tb(sK14)))) ),
inference(resolution,[],[f3221,f287]) ).
tff(f3252,plain,
( sorted(tb2t(reverse(elt1,infix_plpl(elt1,reverse(elt1,t2tb(sK15)),t2tb(sK14)))))
| ~ sorted(tb2t(reverse(elt1,t2tb(sK14)))) ),
inference(forward_subsumption_resolution,[],[f3249,f277]) ).
tff(f3253,plain,
( sorted(tb2t(infix_plpl(elt1,reverse(elt1,t2tb(sK14)),t2tb(sK15))))
| ~ sorted(tb2t(reverse(elt1,t2tb(sK14)))) ),
inference(forward_demodulation,[],[f3252,f1846]) ).
tff(f3254,plain,
( sorted(tb2t(infix_plpl(elt1,reverse(elt1,t2tb(sK14)),sF20)))
| ~ sorted(tb2t(reverse(elt1,t2tb(sK14)))) ),
inference(forward_demodulation,[],[f3253,f300]) ).
tff(f3255,plain,
( sorted(tb2t(infix_plpl(elt1,reverse(elt1,sF18),sF20)))
| ~ sorted(tb2t(reverse(elt1,t2tb(sK14)))) ),
inference(forward_demodulation,[],[f3254,f296]) ).
tff(f3256,plain,
( sorted(tb2t(infix_plpl(elt1,sF19,sF20)))
| ~ sorted(tb2t(reverse(elt1,t2tb(sK14)))) ),
inference(forward_demodulation,[],[f3255,f298]) ).
tff(f3257,plain,
( sorted(tb2t(sF21))
| ~ sorted(tb2t(reverse(elt1,t2tb(sK14)))) ),
inference(forward_demodulation,[],[f3256,f302]) ).
tff(f3258,plain,
( sorted(sF22)
| ~ sorted(tb2t(reverse(elt1,t2tb(sK14)))) ),
inference(forward_demodulation,[],[f3257,f304]) ).
tff(f3259,plain,
~ sorted(tb2t(reverse(elt1,t2tb(sK14)))),
inference(forward_subsumption_resolution,[],[f3258,f305]) ).
tff(f3260,plain,
~ sorted(tb2t(reverse(elt1,sF18))),
inference(forward_demodulation,[],[f3259,f296]) ).
tff(f3261,plain,
~ sorted(tb2t(sF19)),
inference(forward_demodulation,[],[f3260,f298]) ).
tff(f3262,plain,
~ sorted(sF32),
inference(forward_demodulation,[],[f3261,f328]) ).
tff(f3263,plain,
$false,
inference(forward_subsumption_resolution,[],[f3262,f329]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW625_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.26 % Computer : n009.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Mon Sep 28 14:23:00 UTC 2026
% 0.10/0.27 % CPUTime :
% 0.10/0.27 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.26/0.32 Running first-order model finding
% 0.26/0.32 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.01/1.19 % (3060324)Will run a generic schedule for satisfiability detection.
% 6.01/1.19 % (3060335)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2943619849:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.01/1.19 % (3060330)% WARNING: option uhcvi not known.
% 6.01/1.19 % (3060332)dis+10_1_sil=32000:sp=arity:random_seed=573862119:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.01/1.19 % (3060329)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4232615141_2999 on theBenchmark for (2999ds/0Mi)
% 6.01/1.19 % (3060331)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4105716464:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.01/1.19 % (3060330)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4032576407:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.01/1.19 % (3060333)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4111020354:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.01/1.19 % (3060334)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3427597185:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.01/1.19 % (3060329)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.01/1.19 % (3060329)Terminated due to inappropriate strategy.
% 6.01/1.19 % (3060329)------------------------------
% 6.01/1.19 % (3060329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.19 % (3060329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.19 % (3060329)CaDiCaL version: 2.1.3
% 6.01/1.19 % (3060329)Termination reason: Inappropriate
% 6.01/1.19 % (3060329)Time elapsed: 0.008 s
% 6.01/1.19 % (3060329)Peak memory usage: 11 MB
% 6.01/1.19 % (3060329)Instructions burned: 8 (million)
% 6.01/1.19 % (3060329)------------------------------
% 6.01/1.19 % (3060329)------------------------------
% 6.01/1.19 % (3060345)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1749365696:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.01/1.19 % (3060345)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.01/1.19 % (3060345)Terminated due to inappropriate strategy.
% 6.01/1.19 % (3060345)------------------------------
% 6.01/1.19 % (3060345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.19 % (3060345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.19 % (3060345)CaDiCaL version: 2.1.3
% 6.01/1.19 % (3060345)Termination reason: Inappropriate
% 6.01/1.19 % (3060345)Time elapsed: 0.007 s
% 6.01/1.19 % (3060345)Peak memory usage: 11 MB
% 6.01/1.19 % (3060345)Instructions burned: 7 (million)
% 6.01/1.19 % (3060345)------------------------------
% 6.01/1.19 % (3060345)------------------------------
% 6.01/1.19 % (3060349)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2747287941:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.01/1.19 % (3060335)Instruction limit reached!
% 6.01/1.19 % (3060335)------------------------------
% 6.01/1.19 % (3060335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.19 % (3060335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.19 % (3060335)CaDiCaL version: 2.1.3
% 6.01/1.19 % (3060335)Termination reason: Instruction limit
% 6.01/1.19 % (3060335)Termination phase: Saturation
% 6.01/1.19 % (3060335)Time elapsed: 0.093 s
% 6.01/1.19 % (3060335)Peak memory usage: 13 MB
% 6.01/1.19 % (3060335)Instructions burned: 159 (million)
% 6.01/1.19 % (3060332)Instruction limit reached!
% 6.01/1.19 % (3060332)------------------------------
% 6.01/1.19 % (3060332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.19 % (3060332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.19 % (3060332)CaDiCaL version: 2.1.3
% 6.01/1.19 % (3060332)Termination reason: Instruction limit
% 6.01/1.19 % (3060332)Termination phase: Saturation
% 6.01/1.19 % (3060332)Time elapsed: 0.094 s
% 6.01/1.19 % (3060332)Peak memory usage: 12 MB
% 6.01/1.19 % (3060332)Instructions burned: 103 (million)
% 6.01/1.19 % (3060352)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=614509943:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.01/1.19 % (3060333)Instruction limit reached!
% 6.01/1.19 % (3060333)------------------------------
% 6.01/1.19 % (3060333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.77 % (3060333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.77 % (3060333)CaDiCaL version: 2.1.3
% 9.24/1.77 % (3060333)Termination reason: Instruction limit
% 9.24/1.77 % (3060333)Termination phase: Saturation
% 9.24/1.77 % (3060333)Time elapsed: 0.121 s
% 9.24/1.77 % (3060333)Peak memory usage: 13 MB
% 9.24/1.77 % (3060333)Instructions burned: 116 (million)
% 9.24/1.77 % (3060354)ott-21_1_sil=16000:fs=off:random_seed=1740550821:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 9.24/1.77 % (3060334)Instruction limit reached!
% 9.24/1.77 % (3060334)------------------------------
% 9.24/1.77 % (3060334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.77 % (3060334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.77 % (3060334)CaDiCaL version: 2.1.3
% 9.24/1.77 % (3060334)Termination reason: Instruction limit
% 9.24/1.77 % (3060334)Termination phase: Saturation
% 9.24/1.77 % (3060334)Time elapsed: 0.138 s
% 9.24/1.77 % (3060334)Peak memory usage: 13 MB
% 9.24/1.77 % (3060334)Instructions burned: 131 (million)
% 9.24/1.77 % (3060349)Instruction limit reached!
% 9.24/1.77 % (3060349)------------------------------
% 9.24/1.77 % (3060349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.77 % (3060349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.77 % (3060349)CaDiCaL version: 2.1.3
% 9.24/1.77 % (3060349)Termination reason: Instruction limit
% 9.24/1.77 % (3060349)Termination phase: Saturation
% 9.24/1.77 % (3060349)Time elapsed: 0.076 s
% 9.24/1.77 % (3060349)Peak memory usage: 13 MB
% 9.24/1.77 % (3060349)Instructions burned: 131 (million)
% 9.24/1.77 % (3060357)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4054667200:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 9.24/1.77 % (3060360)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4103353847:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 9.24/1.77 % (3060360)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 9.24/1.77 % (3060360)Terminated due to inappropriate strategy.
% 9.24/1.77 % (3060360)------------------------------
% 9.24/1.77 % (3060360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.77 % (3060360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.77 % (3060360)CaDiCaL version: 2.1.3
% 9.24/1.77 % (3060360)Termination reason: Inappropriate
% 9.24/1.77 % (3060360)Time elapsed: 0.007 s
% 9.24/1.77 % (3060360)Peak memory usage: 10 MB
% 9.24/1.77 % (3060360)Instructions burned: 7 (million)
% 9.24/1.77 % (3060360)------------------------------
% 9.24/1.77 % (3060360)------------------------------
% 9.24/1.77 % (3060361)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1693965724:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 9.24/1.77 % (3060365)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1346085732:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 9.24/1.77 % (3060365)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 9.24/1.77 % (3060365)Terminated due to inappropriate strategy.
% 9.24/1.77 % (3060365)------------------------------
% 9.24/1.77 % (3060365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.77 % (3060365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.77 % (3060365)CaDiCaL version: 2.1.3
% 9.24/1.77 % (3060365)Termination reason: Inappropriate
% 9.24/1.77 % (3060365)Time elapsed: 0.007 s
% 9.24/1.77 % (3060365)Peak memory usage: 10 MB
% 9.24/1.77 % (3060365)Instructions burned: 7 (million)
% 9.24/1.77 % (3060365)------------------------------
% 9.24/1.77 % (3060365)------------------------------
% 9.24/1.77 % (3060369)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4053702581:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 9.24/1.77 % (3060354)Instruction limit reached!
% 9.24/1.77 % (3060354)------------------------------
% 9.24/1.77 % (3060354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.77 % (3060354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.77 % (3060354)CaDiCaL version: 2.1.3
% 9.24/1.77 % (3060354)Termination reason: Instruction limit
% 9.24/1.77 % (3060354)Termination phase: Saturation
% 9.24/1.77 % (3060354)Time elapsed: 0.167 s
% 9.24/1.77 % (3060354)Peak memory usage: 13 MB
% 9.24/1.77 % (3060354)Instructions burned: 180 (million)
% 9.24/1.77 % (3060372)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2349291577:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 9.24/1.77 % (3060369)Instruction limit reached!
% 9.24/1.77 % (3060369)------------------------------
% 9.24/1.77 % (3060369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.77 % (3060369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.77 % (3060369)CaDiCaL version: 2.1.3
% 9.24/1.77 % (3060369)Termination reason: Instruction limit
% 9.24/1.77 % (3060369)Termination phase: Saturation
% 9.24/1.77 % (3060369)Time elapsed: 0.310 s
% 9.24/1.77 % (3060369)Peak memory usage: 16 MB
% 9.24/1.77 % (3060369)Instructions burned: 692 (million)
% 9.24/1.77 % (3060381)fmb+10_1_sil=64000:random_seed=664125057:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 9.24/1.77 % (3060381)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 9.24/1.77 % (3060381)Terminated due to inappropriate strategy.
% 9.24/1.77 % (3060381)------------------------------
% 9.24/1.77 % (3060381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.77 % (3060381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.77 % (3060381)CaDiCaL version: 2.1.3
% 9.24/1.77 % (3060381)Termination reason: Inappropriate
% 9.24/1.77 % (3060381)Time elapsed: 0.004 s
% 9.24/1.77 % (3060381)Peak memory usage: 10 MB
% 9.24/1.77 % (3060381)Instructions burned: 7 (million)
% 9.24/1.77 % (3060357)Instruction limit reached!
% 9.24/1.77 % (3060357)------------------------------
% 9.24/1.77 % (3060357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.77 % (3060357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.77 % (3060357)CaDiCaL version: 2.1.3
% 9.24/1.77 % (3060357)Termination reason: Instruction limit
% 9.24/1.77 % (3060357)Termination phase: Saturation
% 9.24/1.77 % (3060357)Time elapsed: 0.429 s
% 9.24/1.77 % (3060357)Peak memory usage: 14 MB
% 9.24/1.77 % (3060357)Instructions burned: 477 (million)
% 9.24/1.77 % (3060381)------------------------------
% 9.24/1.77 % (3060381)------------------------------
% 9.24/1.77 % (3060383)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4107569856:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 9.24/1.77 % (3060384)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3437502289:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 9.24/1.77 % (3060383)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 9.24/1.77 % (3060383)Terminated due to inappropriate strategy.
% 9.24/1.77 % (3060383)------------------------------
% 9.24/1.77 % (3060383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.77 % (3060383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.77 % (3060384)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 9.24/1.77 % (3060384)Terminated due to inappropriate strategy.
% 9.24/1.77 % (3060384)------------------------------
% 9.24/1.77 % (3060384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.77 % (3060383)CaDiCaL version: 2.1.3
% 9.24/1.77 % (3060383)Termination reason: Inappropriate
% 9.24/1.77 % (3060383)Time elapsed: 0.004 s
% 9.24/1.77 % (3060383)Peak memory usage: 10 MB
% 9.24/1.77 % (3060384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.77 % (3060383)Instructions burned: 7 (million)
% 9.24/1.77 % (3060384)CaDiCaL version: 2.1.3
% 9.24/1.77 % (3060384)Termination reason: Inappropriate
% 9.24/1.77 % (3060384)Time elapsed: 0.004 s
% 9.24/1.77 % (3060384)Peak memory usage: 11 MB
% 9.24/1.77 % (3060384)Instructions burned: 7 (million)
% 9.24/1.77 % (3060384)------------------------------
% 9.24/1.77 % (3060384)------------------------------
% 9.24/1.77 % (3060383)------------------------------
% 9.24/1.77 % (3060383)------------------------------
% 9.24/1.77 % (3060388)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1062718415:i=1472:ins=7:fdi=8:gsp=on_2993 on theBenchmark for (2993ds/1472Mi)
% 9.24/1.77 % (3060387)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4103302706:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 9.24/1.77 % (3060352)Instruction limit reached!
% 9.24/1.77 % (3060352)------------------------------
% 9.24/1.77 % (3060352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.77 % (3060352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.77 % (3060352)CaDiCaL version: 2.1.3
% 9.24/1.77 % (3060352)Termination reason: Instruction limit
% 9.24/1.77 % (3060352)Termination phase: Saturation
% 9.24/1.77 % (3060352)Time elapsed: 0.724 s
% 9.24/1.77 % (3060352)Peak memory usage: 16 MB
% 9.24/1.77 % (3060352)Instructions burned: 684 (million)
% 9.24/1.77 % (3060396)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=825119083:i=6324_2991 on theBenchmark for (2991ds/6324Mi)
% 9.24/1.77 % (3060396)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 9.24/1.77 % (3060396)Terminated due to inappropriate strategy.
% 9.24/1.77 % (3060396)------------------------------
% 9.24/1.77 % (3060396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.77 % (3060396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.77 % (3060396)CaDiCaL version: 2.1.3
% 9.24/1.77 % (3060396)Termination reason: Inappropriate
% 9.24/1.77 % (3060396)Time elapsed: 0.008 s
% 9.24/1.77 % (3060396)Peak memory usage: 11 MB
% 9.24/1.77 % (3060396)Instructions burned: 8 (million)
% 9.24/1.77 % (3060396)------------------------------
% 9.24/1.77 % (3060396)------------------------------
% 9.24/1.77 % (3060399)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3757957133:fmbsr=2.30978:i=2174_2990 on theBenchmark for (2990ds/2174Mi)
% 9.24/1.77 % (3060399)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 9.24/1.77 % (3060399)Terminated due to inappropriate strategy.
% 9.24/1.77 % (3060399)------------------------------
% 9.24/1.77 % (3060399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.77 % (3060399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.77 % (3060399)CaDiCaL version: 2.1.3
% 9.24/1.77 % (3060399)Termination reason: Inappropriate
% 9.24/1.77 % (3060399)Time elapsed: 0.002 s
% 9.24/1.77 % (3060399)Peak memory usage: 10 MB
% 9.24/1.77 % (3060399)Instructions burned: 7 (million)
% 9.24/1.77 % (3060399)------------------------------
% 9.24/1.77 % (3060399)------------------------------
% 9.24/1.77 % (3060401)ott-2_1_sil=16000:newcnf=on:random_seed=1180198828:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2990 on theBenchmark for (2990ds/869Mi)
% 9.24/1.77 % (3060372)Instruction limit reached!
% 9.24/1.77 % (3060372)------------------------------
% 9.24/1.77 % (3060372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.77 % (3060372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.77 % (3060372)CaDiCaL version: 2.1.3
% 9.24/1.77 % (3060372)Termination reason: Instruction limit
% 9.24/1.77 % (3060372)Termination phase: Saturation
% 9.24/1.77 % (3060372)Time elapsed: 0.869 s
% 9.24/1.77 % (3060372)Peak memory usage: 20 MB
% 9.24/1.77 % (3060372)Instructions burned: 879 (million)
% 9.24/1.77 % (3060403)ott+10_1_sil=32000:tgt=ground:random_seed=3580994182:i=5114:av=off_2987 on theBenchmark for (2987ds/5114Mi)
% 9.24/1.77 % (3060361)Instruction limit reached!
% 9.24/1.77 % (3060361)------------------------------
% 9.24/1.77 % (3060361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.77 % (3060361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.77 % (3060361)CaDiCaL version: 2.1.3
% 9.24/1.77 % (3060361)Termination reason: Instruction limit
% 9.24/1.77 % (3060361)Termination phase: Saturation
% 9.24/1.77 % (3060361)Time elapsed: 1.188 s
% 9.24/1.77 % (3060361)Peak memory usage: 21 MB
% 9.24/1.77 % (3060361)Instructions burned: 1179 (million)
% 9.24/1.77 % (3060401)Instruction limit reached!
% 9.24/1.77 % (3060401)------------------------------
% 9.24/1.77 % (3060401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.77 % (3060401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.77 % (3060401)CaDiCaL version: 2.1.3
% 9.24/1.77 % (3060401)Termination reason: Instruction limit
% 9.24/1.77 % (3060401)Termination phase: Saturation
% 9.24/1.77 % (3060401)Time elapsed: 0.486 s
% 9.24/1.77 % (3060401)Peak memory usage: 18 MB
% 9.24/1.77 % (3060401)Instructions burned: 871 (million)
% 9.24/1.77 % (3060403) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3060324-3060403"...
% 9.24/1.77 % (3060403)...printing done.
% 9.24/1.77 % (3060403)Refutation found. Thanks to Tanya!
% 9.24/1.77 % SZS status Theorem for theBenchmark
% 9.24/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 9.24/1.77 % (3060403)------------------------------
% 9.24/1.77 % (3060403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.77 % (3060403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.77 % (3060403)CaDiCaL version: 2.1.3
% 9.24/1.77 % (3060403)Termination reason: Refutation
% 9.24/1.77 % (3060403)Time elapsed: 0.164 s
% 9.24/1.77 % (3060403)Peak memory usage: 13 MB
% 9.24/1.77 % (3060403)Instructions burned: 156 (million)
% 9.24/1.77 % (3060324)Success in time 1.443 s
% 9.24/1.77 % Vampire exiting
%------------------------------------------------------------------------------