%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW615_2 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 01:40:32 PM UTC 2026
% Result : Theorem 0.20s 0.32s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 90 ( 23 unt; 0 typ; 7 def)
% Number of atoms : 264 ( 141 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 242 ( 68 ~; 79 |; 66 &)
% ( 7 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 9 ( 7 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 8 prp; 0-4 aty)
% Number of functors : 60 ( 60 usr; 25 con; 0-5 aty)
% Number of variables : 148 ( 0 sgn 94 !; 54 ?; 148 :)
% 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,
loc: $tType ).
tff(type_def_10,type,
list_loc: $tType ).
tff(type_def_11,type,
map_loc_loc: $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,
head: ( ty * uni ) > uni ).
tff(func_def_19,type,
tail: ( ty * uni ) > uni ).
tff(func_def_20,type,
infix_plpl: ( ty * uni * uni ) > uni ).
tff(func_def_21,type,
length: ( ty * uni ) > $int ).
tff(func_def_24,type,
reverse: ( ty * uni ) > uni ).
tff(func_def_25,type,
map: ( ty * ty ) > ty ).
tff(func_def_26,type,
get: ( ty * ty * uni * uni ) > uni ).
tff(func_def_27,type,
set: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_28,type,
const: ( ty * ty * uni ) > uni ).
tff(func_def_29,type,
loc1: ty ).
tff(func_def_30,type,
null: loc ).
tff(func_def_31,type,
t2tb: list_loc > uni ).
tff(func_def_32,type,
tb2t: uni > list_loc ).
tff(func_def_33,type,
t2tb1: map_loc_loc > uni ).
tff(func_def_34,type,
tb2t1: uni > map_loc_loc ).
tff(func_def_35,type,
t2tb2: loc > uni ).
tff(func_def_36,type,
tb2t2: uni > loc ).
tff(func_def_37,type,
ref: ty > ty ).
tff(func_def_38,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_39,type,
contents: ( ty * uni ) > uni ).
tff(func_def_41,type,
sK0: ( ty * uni * uni ) > uni ).
tff(func_def_42,type,
sK1: ( ty * uni * uni ) > uni ).
tff(func_def_43,type,
sK2: ( ty * uni * uni ) > uni ).
tff(func_def_44,type,
sK3: ( loc * map_loc_loc * list_loc * loc ) > loc ).
tff(func_def_45,type,
sK4: ( loc * map_loc_loc * list_loc * loc ) > loc ).
tff(func_def_46,type,
sK5: ( loc * map_loc_loc * list_loc * loc ) > map_loc_loc ).
tff(func_def_47,type,
sK6: ( loc * map_loc_loc * list_loc * loc ) > list_loc ).
tff(func_def_48,type,
sK7: ( loc * map_loc_loc * list_loc * loc ) > loc ).
tff(func_def_49,type,
sK8: ( loc * map_loc_loc * list_loc * loc ) > map_loc_loc ).
tff(func_def_50,type,
sK9: loc ).
tff(func_def_51,type,
sK10: list_loc ).
tff(func_def_52,type,
sK11: map_loc_loc ).
tff(func_def_53,type,
sK12: list_loc ).
tff(func_def_54,type,
sK13: loc ).
tff(func_def_55,type,
sK14: list_loc ).
tff(func_def_56,type,
sK15: loc ).
tff(func_def_57,type,
sK16: map_loc_loc ).
tff(func_def_58,type,
sK17: map_loc_loc ).
tff(func_def_59,type,
sK18: loc ).
tff(func_def_60,type,
sK19: loc ).
tff(func_def_61,type,
sK20: list_loc ).
tff(func_def_62,type,
sK21: list_loc ).
tff(func_def_63,type,
sK22: loc ).
tff(func_def_64,type,
sK23: list_loc ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(pred_def_3,type,
mem: ( ty * uni * uni ) > $o ).
tff(pred_def_4,type,
disjoint: ( ty * uni * uni ) > $o ).
tff(pred_def_5,type,
no_repet: ( ty * uni ) > $o ).
tff(pred_def_6,type,
list_seg: ( loc * map_loc_loc * list_loc * loc ) > $o ).
tff(f14,axiom,
! [X0: ty,X1: uni,X2: uni] : ( nil(X0) != cons(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nil_Cons) ).
tff(f23,axiom,
! [X0: ty,X1: uni,X2: uni] : ( tail(X0,cons(X0,X1,X2)) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tail_cons) ).
tff(f51,axiom,
! [X0: list_loc] : ( tb2t(t2tb(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL) ).
tff(f52,axiom,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR) ).
tff(f61,axiom,
! [X0: loc,X1: map_loc_loc,X2: list_loc,X3: loc] :
( list_seg(X0,X1,X2,X3)
=> ( ? [X4: loc,X5: map_loc_loc] :
( ( X0 = X4 )
& ( X1 = X5 )
& ( X2 = tb2t(nil(loc1)) )
& ( X3 = X4 ) )
| ? [X4: loc,X6: loc,X5: map_loc_loc,X7: list_loc] :
( ( X4 != null )
& list_seg(tb2t2(get(loc1,loc1,t2tb1(X5),t2tb2(X4))),X5,X7,X6)
& ( X0 = X4 )
& ( X1 = X5 )
& ( X2 = tb2t(cons(loc1,t2tb2(X4),t2tb(X7))) )
& ( X3 = X6 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',list_seg_inversion) ).
tff(f70,conjecture,
! [X0: loc,X1: list_loc,X2: map_loc_loc] :
( list_seg(X0,X2,X1,null)
=> ! [X3: list_loc,X4: loc,X5: list_loc,X6: loc,X7: map_loc_loc] :
( ( list_seg(X6,X7,X5,null)
& list_seg(X4,X7,X3,null)
& disjoint(loc1,t2tb(X5),t2tb(X3))
& ( tb2t(infix_plpl(loc1,reverse(loc1,t2tb(X5)),t2tb(X3))) = tb2t(reverse(loc1,t2tb(X1))) ) )
=> ( ( X6 != null )
=> ! [X8: map_loc_loc] :
( ( X8 = tb2t1(set(loc1,loc1,t2tb1(X7),t2tb2(X6),t2tb2(X4))) )
=> ( list_seg(X4,X8,X3,null)
=> ! [X9: loc] :
( ( X9 = X6 )
=> ! [X10: loc] :
( ( X10 = tb2t2(get(loc1,loc1,t2tb1(X7),t2tb2(X6))) )
=> ! [X11: list_loc] :
( ( X11 = tb2t(cons(loc1,head(loc1,t2tb(X5)),t2tb(X3))) )
=> ! [X12: list_loc] :
( ( X12 = tb2t(tail(loc1,t2tb(X5))) )
=> ( ( X5 != tb2t(nil(loc1)) )
& ! [X13: loc,X14: list_loc] :
( ( X5 = tb2t(cons(loc1,t2tb2(X13),t2tb(X14))) )
=> ( X14 = X12 ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_in_place_reverse) ).
tff(f71,negated_conjecture,
~ ! [X0: loc,X1: list_loc,X2: map_loc_loc] :
( list_seg(X0,X2,X1,null)
=> ! [X3: list_loc,X4: loc,X5: list_loc,X6: loc,X7: map_loc_loc] :
( ( list_seg(X6,X7,X5,null)
& list_seg(X4,X7,X3,null)
& disjoint(loc1,t2tb(X5),t2tb(X3))
& ( tb2t(infix_plpl(loc1,reverse(loc1,t2tb(X5)),t2tb(X3))) = tb2t(reverse(loc1,t2tb(X1))) ) )
=> ( ( X6 != null )
=> ! [X8: map_loc_loc] :
( ( X8 = tb2t1(set(loc1,loc1,t2tb1(X7),t2tb2(X6),t2tb2(X4))) )
=> ( list_seg(X4,X8,X3,null)
=> ! [X9: loc] :
( ( X9 = X6 )
=> ! [X10: loc] :
( ( X10 = tb2t2(get(loc1,loc1,t2tb1(X7),t2tb2(X6))) )
=> ! [X11: list_loc] :
( ( X11 = tb2t(cons(loc1,head(loc1,t2tb(X5)),t2tb(X3))) )
=> ! [X12: list_loc] :
( ( X12 = tb2t(tail(loc1,t2tb(X5))) )
=> ( ( X5 != tb2t(nil(loc1)) )
& ! [X13: loc,X14: list_loc] :
( ( X5 = tb2t(cons(loc1,t2tb2(X13),t2tb(X14))) )
=> ( X14 = X12 ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f70]) ).
tff(f93,plain,
! [X0: loc,X1: map_loc_loc,X2: list_loc,X3: loc] :
( list_seg(X0,X1,X2,X3)
=> ( ? [X4: loc,X5: map_loc_loc] :
( ( X0 = X4 )
& ( X1 = X5 )
& ( X2 = tb2t(nil(loc1)) )
& ( X3 = X4 ) )
| ? [X6: loc,X7: loc,X8: map_loc_loc,X9: list_loc] :
( ( null != X6 )
& list_seg(tb2t2(get(loc1,loc1,t2tb1(X8),t2tb2(X6))),X8,X9,X7)
& ( X0 = X6 )
& ( X1 = X8 )
& ( tb2t(cons(loc1,t2tb2(X6),t2tb(X9))) = X2 )
& ( X3 = X7 ) ) ) ),
inference(rectify,[],[f61]) ).
tff(f115,plain,
! [X0: loc,X1: map_loc_loc,X2: list_loc,X3: loc] :
( ? [X4: loc,X5: map_loc_loc] :
( ( X0 = X4 )
& ( X1 = X5 )
& ( X2 = tb2t(nil(loc1)) )
& ( X3 = X4 ) )
| ? [X6: loc,X7: loc,X8: map_loc_loc,X9: list_loc] :
( ( null != X6 )
& list_seg(tb2t2(get(loc1,loc1,t2tb1(X8),t2tb2(X6))),X8,X9,X7)
& ( X0 = X6 )
& ( X1 = X8 )
& ( tb2t(cons(loc1,t2tb2(X6),t2tb(X9))) = X2 )
& ( X3 = X7 ) )
| ~ list_seg(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f93]) ).
tff(f116,plain,
! [X0: loc,X1: map_loc_loc,X2: list_loc,X3: loc] :
( ? [X4: loc,X5: map_loc_loc] :
( ( X0 = X4 )
& ( X1 = X5 )
& ( X2 = tb2t(nil(loc1)) )
& ( X3 = X4 ) )
| ? [X6: loc,X7: loc,X8: map_loc_loc,X9: list_loc] :
( ( null != X6 )
& list_seg(tb2t2(get(loc1,loc1,t2tb1(X8),t2tb2(X6))),X8,X9,X7)
& ( X0 = X6 )
& ( X1 = X8 )
& ( tb2t(cons(loc1,t2tb2(X6),t2tb(X9))) = X2 )
& ( X3 = X7 ) )
| ~ list_seg(X0,X1,X2,X3) ),
inference(flattening,[],[f115]) ).
tff(f125,plain,
? [X0: loc,X1: list_loc,X2: map_loc_loc] :
( ? [X3: list_loc,X4: loc,X5: list_loc,X6: loc,X7: map_loc_loc] :
( ? [X8: map_loc_loc] :
( ? [X9: loc] :
( ? [X10: loc] :
( ? [X11: list_loc] :
( ? [X12: list_loc] :
( ( ( tb2t(nil(loc1)) = X5 )
| ? [X13: loc,X14: list_loc] :
( ( X12 != X14 )
& ( X5 = tb2t(cons(loc1,t2tb2(X13),t2tb(X14))) ) ) )
& ( X12 = tb2t(tail(loc1,t2tb(X5))) ) )
& ( X11 = tb2t(cons(loc1,head(loc1,t2tb(X5)),t2tb(X3))) ) )
& ( X10 = tb2t2(get(loc1,loc1,t2tb1(X7),t2tb2(X6))) ) )
& ( X9 = X6 ) )
& list_seg(X4,X8,X3,null)
& ( X8 = tb2t1(set(loc1,loc1,t2tb1(X7),t2tb2(X6),t2tb2(X4))) ) )
& ( X6 != null )
& list_seg(X6,X7,X5,null)
& list_seg(X4,X7,X3,null)
& disjoint(loc1,t2tb(X5),t2tb(X3))
& ( tb2t(infix_plpl(loc1,reverse(loc1,t2tb(X5)),t2tb(X3))) = tb2t(reverse(loc1,t2tb(X1))) ) )
& list_seg(X0,X2,X1,null) ),
inference(ennf_transformation,[],[f71]) ).
tff(f126,plain,
? [X0: loc,X1: list_loc,X2: map_loc_loc] :
( ? [X3: list_loc,X4: loc,X5: list_loc,X6: loc,X7: map_loc_loc] :
( ? [X8: map_loc_loc] :
( ? [X9: loc] :
( ? [X10: loc] :
( ? [X11: list_loc] :
( ? [X12: list_loc] :
( ( ( tb2t(nil(loc1)) = X5 )
| ? [X13: loc,X14: list_loc] :
( ( X12 != X14 )
& ( X5 = tb2t(cons(loc1,t2tb2(X13),t2tb(X14))) ) ) )
& ( X12 = tb2t(tail(loc1,t2tb(X5))) ) )
& ( X11 = tb2t(cons(loc1,head(loc1,t2tb(X5)),t2tb(X3))) ) )
& ( X10 = tb2t2(get(loc1,loc1,t2tb1(X7),t2tb2(X6))) ) )
& ( X9 = X6 ) )
& list_seg(X4,X8,X3,null)
& ( X8 = tb2t1(set(loc1,loc1,t2tb1(X7),t2tb2(X6),t2tb2(X4))) ) )
& ( X6 != null )
& list_seg(X6,X7,X5,null)
& list_seg(X4,X7,X3,null)
& disjoint(loc1,t2tb(X5),t2tb(X3))
& ( tb2t(infix_plpl(loc1,reverse(loc1,t2tb(X5)),t2tb(X3))) = tb2t(reverse(loc1,t2tb(X1))) ) )
& list_seg(X0,X2,X1,null) ),
inference(flattening,[],[f125]) ).
tff(f140,plain,
! [X2: uni,X0: ty,X1: uni] : ( nil(X0) != cons(X0,X1,X2) ),
inference(cnf_transformation,[],[f14]) ).
tff(f149,plain,
! [X2: uni,X0: ty,X1: uni] : ( tail(X0,cons(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f23]) ).
tff(f195,plain,
! [X0: list_loc] : ( tb2t(t2tb(X0)) = X0 ),
inference(cnf_transformation,[],[f51]) ).
tff(f196,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(cnf_transformation,[],[f52]) ).
tff(f213,plain,
! [X2: list_loc,X3: loc,X0: loc,X1: map_loc_loc] :
( ~ list_seg(X0,X1,X2,X3)
| ( sK3(X0,X1,X2,X3) = X0 )
| ( sK7(X0,X1,X2,X3) = X3 ) ),
inference(cnf_transformation,[],[f116]) ).
tff(f216,plain,
! [X2: list_loc,X3: loc,X0: loc,X1: map_loc_loc] :
( ~ list_seg(X0,X1,X2,X3)
| ( sK3(X0,X1,X2,X3) = X0 )
| ( sK7(X0,X1,X2,X3) = X0 ) ),
inference(cnf_transformation,[],[f116]) ).
tff(f221,plain,
! [X2: list_loc,X3: loc,X0: loc,X1: map_loc_loc] :
( ~ list_seg(X0,X1,X2,X3)
| ( tb2t(cons(loc1,t2tb2(sK3(X0,X1,X2,X3)),t2tb(sK6(X0,X1,X2,X3)))) = X2 )
| ( sK7(X0,X1,X2,X3) = X3 ) ),
inference(cnf_transformation,[],[f116]) ).
tff(f224,plain,
! [X2: list_loc,X3: loc,X0: loc,X1: map_loc_loc] :
( ~ list_seg(X0,X1,X2,X3)
| ( tb2t(cons(loc1,t2tb2(sK3(X0,X1,X2,X3)),t2tb(sK6(X0,X1,X2,X3)))) = X2 )
| ( sK7(X0,X1,X2,X3) = X0 ) ),
inference(cnf_transformation,[],[f116]) ).
tff(f237,plain,
( ( sK14 = tb2t(cons(loc1,t2tb2(sK22),t2tb(sK23))) )
| ( tb2t(nil(loc1)) = sK14 ) ),
inference(cnf_transformation,[],[f126]) ).
tff(f238,plain,
( ( sK21 != sK23 )
| ( tb2t(nil(loc1)) = sK14 ) ),
inference(cnf_transformation,[],[f126]) ).
tff(f239,plain,
sK21 = tb2t(tail(loc1,t2tb(sK14))),
inference(cnf_transformation,[],[f126]) ).
tff(f242,plain,
sK15 = sK18,
inference(cnf_transformation,[],[f126]) ).
tff(f248,plain,
list_seg(sK15,sK16,sK14,null),
inference(cnf_transformation,[],[f126]) ).
tff(f249,plain,
null != sK15,
inference(cnf_transformation,[],[f126]) ).
tff(f251,plain,
null != sK18,
inference(definition_unfolding,[],[f249,f242]) ).
tff(f252,plain,
list_seg(sK18,sK16,sK14,null),
inference(definition_unfolding,[],[f248,f242]) ).
tff(f284,plain,
! [X2: list_loc,X3: loc,X0: loc,X1: map_loc_loc] :
( list_seg(X0,X1,X2,X3)
| ( tb2t(cons(loc1,t2tb2(sK3(X0,X1,X2,X3)),t2tb(sK6(X0,X1,X2,X3)))) = X2 )
| ( sK7(X0,X1,X2,X3) = X0 ) ),
inference(consistent_polarity_flipping,[],[f224]) ).
tff(f287,plain,
! [X2: list_loc,X3: loc,X0: loc,X1: map_loc_loc] :
( list_seg(X0,X1,X2,X3)
| ( tb2t(cons(loc1,t2tb2(sK3(X0,X1,X2,X3)),t2tb(sK6(X0,X1,X2,X3)))) = X2 )
| ( sK7(X0,X1,X2,X3) = X3 ) ),
inference(consistent_polarity_flipping,[],[f221]) ).
tff(f292,plain,
! [X2: list_loc,X3: loc,X0: loc,X1: map_loc_loc] :
( list_seg(X0,X1,X2,X3)
| ( sK3(X0,X1,X2,X3) = X0 )
| ( sK7(X0,X1,X2,X3) = X0 ) ),
inference(consistent_polarity_flipping,[],[f216]) ).
tff(f295,plain,
! [X2: list_loc,X3: loc,X0: loc,X1: map_loc_loc] :
( list_seg(X0,X1,X2,X3)
| ( sK3(X0,X1,X2,X3) = X0 )
| ( sK7(X0,X1,X2,X3) = X3 ) ),
inference(consistent_polarity_flipping,[],[f213]) ).
tff(f309,plain,
~ list_seg(sK18,sK16,sK14,null),
inference(consistent_polarity_flipping,[],[f252]) ).
tff(f315,definition,
( spl24_1
<=> ( tb2t(nil(loc1)) = sK14 ) ),
introduced(definition,[new_symbols(definition,[spl24_1])],[avatar_definition]) ).
tff(f317,plain,
( ( tb2t(nil(loc1)) = sK14 )
| ~ spl24_1 ),
inference(avatar_component_clause,[],[f315]) ).
tff(f319,definition,
( spl24_2
<=> ( sK14 = tb2t(cons(loc1,t2tb2(sK22),t2tb(sK23))) ) ),
introduced(definition,[new_symbols(definition,[spl24_2])],[avatar_definition]) ).
tff(f321,plain,
( ( sK14 = tb2t(cons(loc1,t2tb2(sK22),t2tb(sK23))) )
| ~ spl24_2 ),
inference(avatar_component_clause,[],[f319]) ).
tff(f322,plain,
( spl24_1
| spl24_2 ),
inference(avatar_split_clause,[],[f237,f319,f315]) ).
tff(f324,definition,
( spl24_3
<=> ( sK21 = sK23 ) ),
introduced(definition,[new_symbols(definition,[spl24_3])],[avatar_definition]) ).
tff(f326,plain,
( ( sK21 != sK23 )
| spl24_3 ),
inference(avatar_component_clause,[],[f324]) ).
tff(f327,plain,
( spl24_1
| ~ spl24_3 ),
inference(avatar_split_clause,[],[f238,f324,f315]) ).
tff(f331,plain,
( ( cons(loc1,t2tb2(sK22),t2tb(sK23)) = t2tb(sK14) )
| ~ spl24_2 ),
inference(superposition,[],[f196,f321]) ).
tff(f333,plain,
tail(loc1,t2tb(sK14)) = t2tb(sK21),
inference(superposition,[],[f196,f239]) ).
tff(f388,plain,
( ( t2tb(sK23) = tail(loc1,t2tb(sK14)) )
| ~ spl24_2 ),
inference(superposition,[],[f149,f331]) ).
tff(f391,plain,
( ( t2tb(sK23) = t2tb(sK21) )
| ~ spl24_2 ),
inference(forward_demodulation,[],[f388,f333]) ).
tff(f394,plain,
( ( sK23 = tb2t(t2tb(sK21)) )
| ~ spl24_2 ),
inference(superposition,[],[f195,f391]) ).
tff(f396,plain,
( ( sK21 = sK23 )
| ~ spl24_2 ),
inference(forward_demodulation,[],[f394,f195]) ).
tff(f397,plain,
( $false
| ~ spl24_2
| spl24_3 ),
inference(forward_subsumption_resolution,[],[f396,f326]) ).
tff(f398,plain,
( ~ spl24_2
| spl24_3 ),
inference(avatar_contradiction_clause,[],[f397]) ).
tff(f400,plain,
( ( nil(loc1) = t2tb(sK14) )
| ~ spl24_1 ),
inference(superposition,[],[f196,f317]) ).
tff(f1113,definition,
( spl24_19
<=> ( sK18 = sK7(sK18,sK16,sK14,null) ) ),
introduced(definition,[new_symbols(definition,[spl24_19])],[avatar_definition]) ).
tff(f1115,plain,
( ( sK18 = sK7(sK18,sK16,sK14,null) )
| ~ spl24_19 ),
inference(avatar_component_clause,[],[f1113]) ).
tff(f1153,definition,
( spl24_24
<=> ( null = sK7(sK18,sK16,sK14,null) ) ),
introduced(definition,[new_symbols(definition,[spl24_24])],[avatar_definition]) ).
tff(f1155,plain,
( ( null = sK7(sK18,sK16,sK14,null) )
| ~ spl24_24 ),
inference(avatar_component_clause,[],[f1153]) ).
tff(f1223,plain,
( ( sK18 = sK3(sK18,sK16,sK14,null) )
| ( sK18 = sK7(sK18,sK16,sK14,null) ) ),
inference(resolution,[],[f292,f309]) ).
tff(f1232,definition,
( spl24_32
<=> ( sK18 = sK3(sK18,sK16,sK14,null) ) ),
introduced(definition,[new_symbols(definition,[spl24_32])],[avatar_definition]) ).
tff(f1234,plain,
( ( sK18 = sK3(sK18,sK16,sK14,null) )
| ~ spl24_32 ),
inference(avatar_component_clause,[],[f1232]) ).
tff(f1235,plain,
( spl24_19
| spl24_32 ),
inference(avatar_split_clause,[],[f1223,f1232,f1113]) ).
tff(f1251,plain,
( ( sK18 = sK3(sK18,sK16,sK14,null) )
| ( null = sK7(sK18,sK16,sK14,null) ) ),
inference(resolution,[],[f295,f309]) ).
tff(f1263,plain,
( spl24_24
| spl24_32 ),
inference(avatar_split_clause,[],[f1251,f1232,f1153]) ).
tff(f1409,plain,
( ( sK14 = tb2t(cons(loc1,t2tb2(sK3(sK18,sK16,sK14,null)),t2tb(sK6(sK18,sK16,sK14,null)))) )
| ( sK18 = sK7(sK18,sK16,sK14,null) ) ),
inference(resolution,[],[f284,f309]) ).
tff(f1415,definition,
( spl24_37
<=> ( sK14 = tb2t(cons(loc1,t2tb2(sK3(sK18,sK16,sK14,null)),t2tb(sK6(sK18,sK16,sK14,null)))) ) ),
introduced(definition,[new_symbols(definition,[spl24_37])],[avatar_definition]) ).
tff(f1417,plain,
( ( sK14 = tb2t(cons(loc1,t2tb2(sK3(sK18,sK16,sK14,null)),t2tb(sK6(sK18,sK16,sK14,null)))) )
| ~ spl24_37 ),
inference(avatar_component_clause,[],[f1415]) ).
tff(f1418,plain,
( spl24_19
| spl24_37 ),
inference(avatar_split_clause,[],[f1409,f1415,f1113]) ).
tff(f1459,plain,
( ( sK14 = tb2t(cons(loc1,t2tb2(sK3(sK18,sK16,sK14,null)),t2tb(sK6(sK18,sK16,sK14,null)))) )
| ( null = sK7(sK18,sK16,sK14,null) ) ),
inference(resolution,[],[f287,f309]) ).
tff(f1464,plain,
( spl24_24
| spl24_37 ),
inference(avatar_split_clause,[],[f1459,f1415,f1153]) ).
tff(f1534,plain,
( ( null = sK18 )
| ~ spl24_19
| ~ spl24_24 ),
inference(superposition,[],[f1155,f1115]) ).
tff(f1538,plain,
( $false
| ~ spl24_19
| ~ spl24_24 ),
inference(forward_subsumption_resolution,[],[f1534,f251]) ).
tff(f1539,plain,
( ~ spl24_19
| ~ spl24_24 ),
inference(avatar_contradiction_clause,[],[f1538]) ).
tff(f1863,plain,
( ( sK14 = tb2t(cons(loc1,t2tb2(sK18),t2tb(sK6(sK18,sK16,sK14,null)))) )
| ~ spl24_32
| ~ spl24_37 ),
inference(forward_demodulation,[],[f1417,f1234]) ).
tff(f1866,plain,
( ( t2tb(sK14) = cons(loc1,t2tb2(sK18),t2tb(sK6(sK18,sK16,sK14,null))) )
| ~ spl24_32
| ~ spl24_37 ),
inference(superposition,[],[f196,f1863]) ).
tff(f1867,plain,
( ( nil(loc1) = cons(loc1,t2tb2(sK18),t2tb(sK6(sK18,sK16,sK14,null))) )
| ~ spl24_1
| ~ spl24_32
| ~ spl24_37 ),
inference(forward_demodulation,[],[f1866,f400]) ).
tff(f1869,plain,
( $false
| ~ spl24_1
| ~ spl24_32
| ~ spl24_37 ),
inference(forward_subsumption_resolution,[],[f1867,f140]) ).
tff(f1870,plain,
( ~ spl24_1
| ~ spl24_32
| ~ spl24_37 ),
inference(avatar_contradiction_clause,[],[f1869]) ).
cnf(s1,plain,
( spl24_1
| spl24_2 ),
inference(sat_conversion,[],[f322]) ).
cnf(s2,plain,
( spl24_1
| ~ spl24_3 ),
inference(sat_conversion,[],[f327]) ).
cnf(s3,plain,
( ~ spl24_2
| spl24_3 ),
inference(sat_conversion,[],[f398]) ).
cnf(s39,plain,
( spl24_19
| spl24_32 ),
inference(sat_conversion,[],[f1235]) ).
cnf(s47,plain,
( spl24_24
| spl24_32 ),
inference(sat_conversion,[],[f1263]) ).
cnf(s57,plain,
( spl24_19
| spl24_37 ),
inference(sat_conversion,[],[f1418]) ).
cnf(s65,plain,
( spl24_24
| spl24_37 ),
inference(sat_conversion,[],[f1464]) ).
cnf(s70,plain,
( ~ spl24_19
| ~ spl24_24 ),
inference(sat_conversion,[],[f1539]) ).
cnf(s117,plain,
( ~ spl24_1
| ~ spl24_32
| ~ spl24_37 ),
inference(sat_conversion,[],[f1870]) ).
cnf(s118,plain,
spl24_1,
inference(rat,[],[s3,s1,s2]) ).
cnf(s119,plain,
spl24_19,
inference(rat,[],[s117,s39,s57,s118]) ).
cnf(s120,plain,
~ spl24_24,
inference(rat,[],[s70,s119]) ).
cnf(s121,plain,
spl24_37,
inference(rat,[],[s65,s120]) ).
cnf(s122,plain,
spl24_32,
inference(rat,[],[s47,s120]) ).
cnf(s125,plain,
$false,
inference(rat,[],[s117,s118,s121,s122]) ).
tff(f1871,plain,
$false,
inference(avatar_sat_refutation,[],[s125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW615_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n020.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 14:23:37 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.32 % (196926)Will run a generic schedule for satisfiability detection.
% 0.20/0.32 % (196931)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2179401662_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.32 % (196931)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.32 % (196931)Terminated due to inappropriate strategy.
% 0.20/0.32 % (196931)------------------------------
% 0.20/0.32 % (196931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (196931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (196931)CaDiCaL version: 2.1.3
% 0.20/0.32 % (196931)Termination reason: Inappropriate
% 0.20/0.32 % (196931)Time elapsed: 0.002 s
% 0.20/0.32 % (196931)Peak memory usage: 11 MB
% 0.20/0.32 % (196931)Instructions burned: 6 (million)
% 0.20/0.32 % (196931)------------------------------
% 0.20/0.32 % (196931)------------------------------
% 0.20/0.32 % (196932)% WARNING: option uhcvi not known.
% 0.20/0.32 % (196932)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3915414031:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.32 % (196933)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1115613055:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.32 % (196934)dis+10_1_sil=32000:sp=arity:random_seed=3055135636:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.32 % (196935)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=911914935:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.32 % (196937)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1373509463:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.32 % (196936)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4121077388:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.32 % (196939)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1993405733:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.32 % (196939)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.32 % (196939)Terminated due to inappropriate strategy.
% 0.20/0.32 % (196939)------------------------------
% 0.20/0.32 % (196939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (196939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (196939)CaDiCaL version: 2.1.3
% 0.20/0.32 % (196939)Termination reason: Inappropriate
% 0.20/0.32 % (196939)Time elapsed: 0.001 s
% 0.20/0.32 % (196939)Peak memory usage: 11 MB
% 0.20/0.32 % (196939)Instructions burned: 6 (million)
% 0.20/0.32 % (196939)------------------------------
% 0.20/0.32 % (196939)------------------------------
% 0.20/0.32 % (196947)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2757130476:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.32 % (196932) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-196926-196932"...
% 0.20/0.32 % (196932)...printing done.
% 0.20/0.32 % (196932)Refutation found. Thanks to Tanya!
% 0.20/0.32 % SZS status Theorem for theBenchmark
% 0.20/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.33 % (196932)------------------------------
% 0.20/0.33 % (196932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33 % (196932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33 % (196932)CaDiCaL version: 2.1.3
% 0.20/0.33 % (196932)Termination reason: Refutation
% 0.20/0.33 % (196932)Time elapsed: 0.056 s
% 0.20/0.33 % (196932)Peak memory usage: 13 MB
% 0.20/0.33 % (196932)Instructions burned: 92 (million)
% 0.20/0.33 % (196926)Success in time 0.092 s
% 0.20/0.33 % Vampire exiting
%------------------------------------------------------------------------------