%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW506_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 01:40:21 PM UTC 2026
% Result : Theorem 23.80s 3.88s
% Output : Refutation 23.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 60 ( 4 unt; 0 typ; 2 def)
% Number of atoms : 150 ( 14 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 145 ( 55 ~; 64 |; 13 &)
% ( 7 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 3 prp; 0-4 aty)
% Number of functors : 46 ( 46 usr; 6 con; 0-6 aty)
% Number of variables : 109 ( 0 sgn 102 !; 7 ?; 109 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
a: $tType ).
tff(type_def_6,type,
com: $tType ).
tff(type_def_7,type,
pname: $tType ).
tff(type_def_8,type,
state: $tType ).
tff(type_def_9,type,
bool: $tType ).
tff(type_def_10,type,
hoare_28830079triple: $tType > $tType ).
tff(type_def_11,type,
int: $tType ).
tff(type_def_12,type,
nat: $tType ).
tff(type_def_13,type,
option: $tType > $tType ).
tff(type_def_14,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
body1: pname > option(com) ).
tff(func_def_1,type,
body: pname > com ).
tff(func_def_2,type,
com_size: com > nat ).
tff(func_def_3,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_4,type,
sgn_sgn:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_5,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_6,type,
hoare_1841697145triple:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(X0,fun(state,bool)) ) > hoare_28830079triple(X0) ) ).
tff(func_def_7,type,
hoare_376461865e_case:
!>[X0: $tType,X1: $tType] : ( ( fun(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),X1))) * hoare_28830079triple(X0) ) > X1 ) ).
tff(func_def_8,type,
hoare_678420151le_rec:
!>[X0: $tType,X1: $tType] : ( ( fun(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),X1))) * hoare_28830079triple(X0) ) > X1 ) ).
tff(func_def_9,type,
hoare_47506394e_size:
!>[X0: $tType] : ( ( fun(X0,nat) * hoare_28830079triple(X0) ) > nat ) ).
tff(func_def_10,type,
suc: nat > nat ).
tff(func_def_11,type,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_12,type,
semiri532925092at_aux:
!>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).
tff(func_def_13,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_14,type,
the:
!>[X0: $tType] : ( option(X0) > X0 ) ).
tff(func_def_15,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_16,type,
fFalse: bool ).
tff(func_def_17,type,
fTrue: bool ).
tff(func_def_18,type,
p: fun(a,fun(state,bool)) ).
tff(func_def_19,type,
q: fun(a,fun(state,bool)) ).
tff(func_def_20,type,
n: nat ).
tff(func_def_21,type,
pn: pname ).
tff(func_def_22,type,
sK0:
!>[X0: $tType] : ( hoare_28830079triple(X0) > fun(X0,fun(state,bool)) ) ).
tff(func_def_23,type,
sK1:
!>[X0: $tType] : ( hoare_28830079triple(X0) > com ) ).
tff(func_def_24,type,
sK2:
!>[X0: $tType] : ( hoare_28830079triple(X0) > fun(X0,fun(state,bool)) ) ).
tff(func_def_25,type,
sK3: ( state * nat * state * pname ) > nat ).
tff(func_def_26,type,
sK4: ( state * state * com ) > nat ).
tff(func_def_27,type,
sK5:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(X0,fun(state,bool)) * nat ) > X0 ) ).
tff(func_def_28,type,
sK6:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(X0,fun(state,bool)) * nat ) > state ) ).
tff(func_def_29,type,
sK7:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(X0,fun(state,bool)) * nat ) > state ) ).
tff(func_def_30,type,
sK8: ( state * state * com ) > nat ).
tff(func_def_31,type,
sK9: nat > nat ).
tff(func_def_32,type,
sK10: fun(nat,bool) > nat ).
tff(func_def_33,type,
sK11: fun(nat,bool) > nat ).
tff(func_def_34,type,
sK12: nat > nat ).
tff(func_def_35,type,
sK13: ( state * state * com * state * state * com ) > nat ).
tff(func_def_36,type,
sK14: nat > nat ).
tff(func_def_37,type,
sK15: ( nat * nat ) > nat ).
tff(func_def_38,type,
sK16: nat > nat ).
tff(func_def_39,type,
sK17:
!>[X0: $tType] : ( fun(nat,X0) > nat ) ).
tff(func_def_40,type,
sK18:
!>[X0: $tType] : ( fun(nat,X0) > nat ) ).
tff(func_def_41,type,
sK19: ( nat * nat ) > nat ).
tff(func_def_42,type,
sK20: ( nat * nat ) > nat ).
tff(pred_def_1,type,
one:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
sgn_if:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
zero_neq_one:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
semiring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
hoare_1633586161_valid:
!>[X0: $tType] : ( ( nat * hoare_28830079triple(X0) ) > $o ) ).
tff(pred_def_11,type,
evalc: ( com * state * state ) > $o ).
tff(pred_def_12,type,
evaln: ( com * state * nat * state ) > $o ).
tff(pred_def_13,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_14,type,
pp: bool > $o ).
tff(f3,axiom,
! [X0: nat,X1: nat] :
( ( suc(X1) = suc(X0) )
<=> ( X1 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_nat_Oinject) ).
tff(f7,axiom,
! [X0: state,X1: nat,X2: state,X3: pname] :
( evaln(the(com,body1(X3)),X2,X1,X0)
=> evaln(body(X3),X2,suc(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_evaln_OBody) ).
tff(f11,axiom,
! [X0: state,X1: nat,X2: state,X3: pname] :
( evaln(body(X3),X2,X1,X0)
=> ~ ! [X4: nat] :
( ( X1 = suc(X4) )
=> ~ evaln(the(com,body1(X3)),X2,X4,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_evaln__elim__cases_I6_J) ).
tff(f23,axiom,
! [X0: $tType,X1: fun(X0,fun(state,bool)),X2: com,X3: fun(X0,fun(state,bool)),X4: nat] :
( hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1))
<=> ! [X5: X0,X6: state] :
( pp(aa(state,bool,aa(X0,fun(state,bool),X3,X5),X6))
=> ! [X7: state] :
( evaln(X2,X6,X4,X7)
=> pp(aa(state,bool,aa(X0,fun(state,bool),X1,X5),X7)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_triple__valid__def2) ).
tff(f118,conjecture,
( hoare_1633586161_valid(a,n,hoare_1841697145triple(a,p,the(com,body1(pn)),q))
<=> hoare_1633586161_valid(a,suc(n),hoare_1841697145triple(a,p,body(pn),q)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f119,negated_conjecture,
~ ( hoare_1633586161_valid(a,n,hoare_1841697145triple(a,p,the(com,body1(pn)),q))
<=> hoare_1633586161_valid(a,suc(n),hoare_1841697145triple(a,p,body(pn),q)) ),
inference(negated_conjecture,[status(cth)],[f118]) ).
tff(f122,plain,
! [X0: state,X1: nat,X2: state,X3: pname] :
( evaln(body(X3),X2,suc(X1),X0)
| ~ evaln(the(com,body1(X3)),X2,X1,X0) ),
inference(ennf_transformation,[],[f7]) ).
tff(f125,plain,
! [X0: state,X1: nat,X2: state,X3: pname] :
( ? [X4: nat] :
( evaln(the(com,body1(X3)),X2,X4,X0)
& ( X1 = suc(X4) ) )
| ~ evaln(body(X3),X2,X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
tff(f130,plain,
! [X0: $tType,X1: fun(X0,fun(state,bool)),X2: com,X3: fun(X0,fun(state,bool)),X4: nat] :
( hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1))
<=> ! [X5: X0,X6: state] :
( ! [X7: state] :
( pp(aa(state,bool,aa(X0,fun(state,bool),X1,X5),X7))
| ~ evaln(X2,X6,X4,X7) )
| ~ pp(aa(state,bool,aa(X0,fun(state,bool),X3,X5),X6)) ) ),
inference(ennf_transformation,[],[f23]) ).
tff(f195,plain,
( hoare_1633586161_valid(a,n,hoare_1841697145triple(a,p,the(com,body1(pn)),q))
<~> hoare_1633586161_valid(a,suc(n),hoare_1841697145triple(a,p,body(pn),q)) ),
inference(ennf_transformation,[],[f119]) ).
tff(f199,plain,
! [X0: nat,X1: nat] :
( ( ( suc(X1) = suc(X0) )
| ( X0 != X1 ) )
& ( ( X1 = X0 )
| ( suc(X1) != suc(X0) ) ) ),
inference(nnf_transformation,[],[f3]) ).
tff(f201,plain,
! [X0: state,X1: nat,X2: state,X3: pname] :
( ( evaln(the(com,body1(X3)),X2,sK3(X0,X1,X2,X3),X0)
& ( suc(sK3(X0,X1,X2,X3)) = X1 ) )
| ~ evaln(body(X3),X2,X1,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X4,sK3(X0,X1,X2,X3))],[f125]) ).
tff(f205,plain,
! [X0: $tType,X1: fun(X0,fun(state,bool)),X2: com,X3: fun(X0,fun(state,bool)),X4: nat] :
( ( hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1))
| ? [X5: X0,X6: state] :
( ? [X7: state] :
( ~ pp(aa(state,bool,aa(X0,fun(state,bool),X1,X5),X7))
& evaln(X2,X6,X4,X7) )
& pp(aa(state,bool,aa(X0,fun(state,bool),X3,X5),X6)) ) )
& ( ! [X5: X0,X6: state] :
( ! [X7: state] :
( pp(aa(state,bool,aa(X0,fun(state,bool),X1,X5),X7))
| ~ evaln(X2,X6,X4,X7) )
| ~ pp(aa(state,bool,aa(X0,fun(state,bool),X3,X5),X6)) )
| ~ hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1)) ) ),
inference(nnf_transformation,[],[f130]) ).
tff(f206,plain,
! [X0: $tType,X1: fun(X0,fun(state,bool)),X2: com,X3: fun(X0,fun(state,bool)),X4: nat] :
( ( hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1))
| ? [X5: X0,X6: state] :
( ? [X7: state] :
( ~ pp(aa(state,bool,aa(X0,fun(state,bool),X1,X5),X7))
& evaln(X2,X6,X4,X7) )
& pp(aa(state,bool,aa(X0,fun(state,bool),X3,X5),X6)) ) )
& ( ! [X8: X0,X9: state] :
( ! [X10: state] :
( pp(aa(state,bool,aa(X0,fun(state,bool),X1,X8),X10))
| ~ evaln(X2,X9,X4,X10) )
| ~ pp(aa(state,bool,aa(X0,fun(state,bool),X3,X8),X9)) )
| ~ hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1)) ) ),
inference(rectify,[],[f205]) ).
tff(f207,plain,
! [X0: $tType,X1: fun(X0,fun(state,bool)),X2: com,X3: fun(X0,fun(state,bool)),X4: nat] :
( ( hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1))
| ( ~ pp(aa(state,bool,aa(X0,fun(state,bool),X1,sK5(X0,X1,X2,X3,X4)),sK7(X0,X1,X2,X3,X4)))
& evaln(X2,sK6(X0,X1,X2,X3,X4),X4,sK7(X0,X1,X2,X3,X4))
& pp(aa(state,bool,aa(X0,fun(state,bool),X3,sK5(X0,X1,X2,X3,X4)),sK6(X0,X1,X2,X3,X4))) ) )
& ( ! [X8: X0,X9: state] :
( ! [X10: state] :
( pp(aa(state,bool,aa(X0,fun(state,bool),X1,X8),X10))
| ~ evaln(X2,X9,X4,X10) )
| ~ pp(aa(state,bool,aa(X0,fun(state,bool),X3,X8),X9)) )
| ~ hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X5,sK5(X0,X1,X2,X3,X4)),skolemize(X6,sK6(X0,X1,X2,X3,X4)),skolemize(X7,sK7(X0,X1,X2,X3,X4))],[f206]) ).
tff(f246,plain,
( ( ~ hoare_1633586161_valid(a,suc(n),hoare_1841697145triple(a,p,body(pn),q))
| ~ hoare_1633586161_valid(a,n,hoare_1841697145triple(a,p,the(com,body1(pn)),q)) )
& ( hoare_1633586161_valid(a,suc(n),hoare_1841697145triple(a,p,body(pn),q))
| hoare_1633586161_valid(a,n,hoare_1841697145triple(a,p,the(com,body1(pn)),q)) ) ),
inference(nnf_transformation,[],[f195]) ).
tff(f253,plain,
! [X0: nat,X1: nat] :
( ( suc(X1) != suc(X0) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f199]) ).
tff(f258,plain,
! [X2: state,X3: pname,X0: state,X1: nat] :
( ~ evaln(the(com,body1(X3)),X2,X1,X0)
| evaln(body(X3),X2,suc(X1),X0) ),
inference(cnf_transformation,[],[f122]) ).
tff(f262,plain,
! [X2: state,X3: pname,X0: state,X1: nat] :
( ~ evaln(body(X3),X2,X1,X0)
| ( suc(sK3(X0,X1,X2,X3)) = X1 ) ),
inference(cnf_transformation,[],[f201]) ).
tff(f263,plain,
! [X2: state,X3: pname,X0: state,X1: nat] :
( evaln(the(com,body1(X3)),X2,sK3(X0,X1,X2,X3),X0)
| ~ evaln(body(X3),X2,X1,X0) ),
inference(cnf_transformation,[],[f201]) ).
tff(f276,plain,
! [X0: $tType,X2: com,X3: fun(X0,fun(state,bool)),X10: state,X1: fun(X0,fun(state,bool)),X8: X0,X9: state,X4: nat] :
( ~ pp(aa(state,bool,aa(X0,fun(state,bool),X3,X8),X9))
| ~ evaln(X2,X9,X4,X10)
| pp(aa(state,bool,aa(X0,fun(state,bool),X1,X8),X10))
| ~ hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1)) ),
inference(cnf_transformation,[],[f207]) ).
tff(f277,plain,
! [X0: $tType,X2: com,X3: fun(X0,fun(state,bool)),X1: fun(X0,fun(state,bool)),X4: nat] :
( hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1))
| pp(aa(state,bool,aa(X0,fun(state,bool),X3,sK5(X0,X1,X2,X3,X4)),sK6(X0,X1,X2,X3,X4))) ),
inference(cnf_transformation,[],[f207]) ).
tff(f278,plain,
! [X0: $tType,X2: com,X3: fun(X0,fun(state,bool)),X1: fun(X0,fun(state,bool)),X4: nat] :
( hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1))
| evaln(X2,sK6(X0,X1,X2,X3,X4),X4,sK7(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f207]) ).
tff(f279,plain,
! [X0: $tType,X2: com,X3: fun(X0,fun(state,bool)),X1: fun(X0,fun(state,bool)),X4: nat] :
( ~ pp(aa(state,bool,aa(X0,fun(state,bool),X1,sK5(X0,X1,X2,X3,X4)),sK7(X0,X1,X2,X3,X4)))
| hoare_1633586161_valid(X0,X4,hoare_1841697145triple(X0,X3,X2,X1)) ),
inference(cnf_transformation,[],[f207]) ).
tff(f410,plain,
( hoare_1633586161_valid(a,suc(n),hoare_1841697145triple(a,p,body(pn),q))
| hoare_1633586161_valid(a,n,hoare_1841697145triple(a,p,the(com,body1(pn)),q)) ),
inference(cnf_transformation,[],[f246]) ).
tff(f411,plain,
( ~ hoare_1633586161_valid(a,suc(n),hoare_1841697145triple(a,p,body(pn),q))
| ~ hoare_1633586161_valid(a,n,hoare_1841697145triple(a,p,the(com,body1(pn)),q)) ),
inference(cnf_transformation,[],[f246]) ).
tff(f440,definition,
( spl21_1
<=> hoare_1633586161_valid(a,n,hoare_1841697145triple(a,p,the(com,body1(pn)),q)) ),
introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).
tff(f441,plain,
( ~ hoare_1633586161_valid(a,n,hoare_1841697145triple(a,p,the(com,body1(pn)),q))
| spl21_1 ),
inference(avatar_component_clause,[],[f440]) ).
tff(f442,plain,
( hoare_1633586161_valid(a,n,hoare_1841697145triple(a,p,the(com,body1(pn)),q))
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f440]) ).
tff(f444,definition,
( spl21_2
<=> hoare_1633586161_valid(a,suc(n),hoare_1841697145triple(a,p,body(pn),q)) ),
introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).
tff(f445,plain,
( ~ hoare_1633586161_valid(a,suc(n),hoare_1841697145triple(a,p,body(pn),q))
| spl21_2 ),
inference(avatar_component_clause,[],[f444]) ).
tff(f446,plain,
( hoare_1633586161_valid(a,suc(n),hoare_1841697145triple(a,p,body(pn),q))
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f444]) ).
tff(f447,plain,
( spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f410,f444,f440]) ).
tff(f448,plain,
( ~ hoare_1633586161_valid(a,n,hoare_1841697145triple(a,p,the(com,body1(pn)),q))
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f411,f446]) ).
tff(f449,plain,
( ~ spl21_1
| ~ spl21_2 ),
inference(avatar_split_clause,[],[f448,f444,f440]) ).
tff(f51497,plain,
( evaln(the(com,body1(pn)),sK6(a,q,the(com,body1(pn)),p,n),n,sK7(a,q,the(com,body1(pn)),p,n))
| spl21_1 ),
inference(unit_resulting_resolution,[],[f278,f441]) ).
tff(f51501,plain,
( evaln(body(pn),sK6(a,q,the(com,body1(pn)),p,n),suc(n),sK7(a,q,the(com,body1(pn)),p,n))
| spl21_1 ),
inference(unit_resulting_resolution,[],[f258,f51497]) ).
tff(f53357,plain,
( pp(aa(state,bool,aa(a,fun(state,bool),p,sK5(a,q,the(com,body1(pn)),p,n)),sK6(a,q,the(com,body1(pn)),p,n)))
| spl21_1 ),
inference(unit_resulting_resolution,[],[f277,f441]) ).
tff(f53552,plain,
( ~ pp(aa(state,bool,aa(a,fun(state,bool),q,sK5(a,q,the(com,body1(pn)),p,n)),sK7(a,q,the(com,body1(pn)),p,n)))
| spl21_1 ),
inference(unit_resulting_resolution,[],[f279,f441]) ).
tff(f54780,plain,
( ~ hoare_1633586161_valid(a,suc(n),hoare_1841697145triple(a,p,body(pn),q))
| spl21_1 ),
inference(unit_resulting_resolution,[],[f276,f51501,f53552,f53357]) ).
tff(f54800,plain,
( $false
| spl21_1
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f54780,f446]) ).
tff(f54801,plain,
( spl21_1
| ~ spl21_2 ),
inference(avatar_contradiction_clause,[],[f54800]) ).
tff(f54802,plain,
( ~ pp(aa(state,bool,aa(a,fun(state,bool),q,sK5(a,q,body(pn),p,suc(n))),sK7(a,q,body(pn),p,suc(n))))
| spl21_2 ),
inference(unit_resulting_resolution,[],[f279,f445]) ).
tff(f54803,plain,
( pp(aa(state,bool,aa(a,fun(state,bool),p,sK5(a,q,body(pn),p,suc(n))),sK6(a,q,body(pn),p,suc(n))))
| spl21_2 ),
inference(unit_resulting_resolution,[],[f277,f445]) ).
tff(f54804,plain,
( evaln(body(pn),sK6(a,q,body(pn),p,suc(n)),suc(n),sK7(a,q,body(pn),p,suc(n)))
| spl21_2 ),
inference(unit_resulting_resolution,[],[f278,f445]) ).
tff(f54808,plain,
( ( suc(n) = suc(sK3(sK7(a,q,body(pn),p,suc(n)),suc(n),sK6(a,q,body(pn),p,suc(n)),pn)) )
| spl21_2 ),
inference(unit_resulting_resolution,[],[f262,f54804]) ).
tff(f54874,plain,
( ( n = sK3(sK7(a,q,body(pn),p,suc(n)),suc(n),sK6(a,q,body(pn),p,suc(n)),pn) )
| spl21_2 ),
inference(unit_resulting_resolution,[],[f253,f54808]) ).
tff(f55304,plain,
( evaln(the(com,body1(pn)),sK6(a,q,body(pn),p,suc(n)),n,sK7(a,q,body(pn),p,suc(n)))
| ~ evaln(body(pn),sK6(a,q,body(pn),p,suc(n)),suc(n),sK7(a,q,body(pn),p,suc(n)))
| spl21_2 ),
inference(superposition,[],[f263,f54874]) ).
tff(f55305,plain,
( evaln(the(com,body1(pn)),sK6(a,q,body(pn),p,suc(n)),n,sK7(a,q,body(pn),p,suc(n)))
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f55304,f54804]) ).
tff(f55531,plain,
( ~ hoare_1633586161_valid(a,n,hoare_1841697145triple(a,p,the(com,body1(pn)),q))
| spl21_2 ),
inference(unit_resulting_resolution,[],[f276,f55305,f54802,f54803]) ).
tff(f55539,plain,
( $false
| ~ spl21_1
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f55531,f442]) ).
tff(f55540,plain,
( ~ spl21_1
| spl21_2 ),
inference(avatar_contradiction_clause,[],[f55539]) ).
cnf(s1,plain,
( spl21_1
| spl21_2 ),
inference(sat_conversion,[],[f447]) ).
cnf(s2,plain,
( ~ spl21_1
| ~ spl21_2 ),
inference(sat_conversion,[],[f449]) ).
cnf(s8,plain,
( spl21_1
| ~ spl21_2 ),
inference(sat_conversion,[],[f54801]) ).
cnf(s12,plain,
( ~ spl21_1
| spl21_2 ),
inference(sat_conversion,[],[f55540]) ).
cnf(s13,plain,
spl21_1,
inference(rat,[],[s1,s8]) ).
cnf(s14,plain,
spl21_2,
inference(rat,[],[s12,s13]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s2,s14,s13]) ).
tff(f55541,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW506_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n017.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 14:11:07 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 7.43/1.39 % (3577201)Will run a generic schedule for satisfiability detection.
% 7.43/1.39 % (3577211)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=544811525:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.43/1.39 % (3577207)% WARNING: option uhcvi not known.
% 7.43/1.39 % (3577206)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1337197679_2999 on theBenchmark for (2999ds/0Mi)
% 7.43/1.39 % (3577207)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3513660651:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.43/1.39 % (3577208)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3041865795:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.43/1.39 % (3577209)dis+10_1_sil=32000:sp=arity:random_seed=3919049523:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.43/1.39 % (3577210)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2533438568:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.43/1.39 % (3577212)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=318686472:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.43/1.39 % Exception at run slice level
% 7.43/1.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.43/1.39 % (3577220)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1893086744:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.43/1.39 % Exception at run slice level
% 7.43/1.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.43/1.39 % (3577211)Instruction limit reached!
% 7.43/1.39 % (3577211)------------------------------
% 7.43/1.39 % (3577211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.39 % (3577211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.39 % (3577211)CaDiCaL version: 2.1.3
% 7.43/1.39 % (3577211)Termination reason: Instruction limit
% 7.43/1.39 % (3577211)Termination phase: Saturation
% 7.43/1.39 % (3577211)Time elapsed: 0.046 s
% 7.43/1.39 % (3577211)Peak memory usage: 13 MB
% 7.43/1.39 % (3577211)Instructions burned: 133 (million)
% 7.43/1.39 % (3577222)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4001871347:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.43/1.39 % (3577223)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=115111953:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 7.43/1.39 % (3577209)Instruction limit reached!
% 7.43/1.39 % (3577209)------------------------------
% 7.43/1.39 % (3577209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.39 % (3577209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.39 % (3577209)CaDiCaL version: 2.1.3
% 7.43/1.39 % (3577209)Termination reason: Instruction limit
% 7.43/1.39 % (3577209)Termination phase: Saturation
% 7.43/1.39 % (3577209)Time elapsed: 0.062 s
% 7.43/1.39 % (3577209)Peak memory usage: 12 MB
% 7.43/1.39 % (3577209)Instructions burned: 104 (million)
% 7.43/1.39 % (3577210)Instruction limit reached!
% 7.43/1.39 % (3577210)------------------------------
% 7.43/1.39 % (3577210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.39 % (3577210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.39 % (3577210)CaDiCaL version: 2.1.3
% 7.43/1.39 % (3577210)Termination reason: Instruction limit
% 7.43/1.39 % (3577210)Termination phase: Saturation
% 7.43/1.39 % (3577210)Time elapsed: 0.073 s
% 7.43/1.39 % (3577210)Peak memory usage: 13 MB
% 7.43/1.39 % (3577210)Instructions burned: 117 (million)
% 7.43/1.39 % (3577226)ott-21_1_sil=16000:fs=off:random_seed=31438938:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 7.43/1.39 % (3577227)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1898698305:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.43/1.39 % (3577212)Instruction limit reached!
% 7.43/1.39 % (3577212)------------------------------
% 7.43/1.39 % (3577212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.39 % (3577212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.39 % (3577212)CaDiCaL version: 2.1.3
% 7.43/1.39 % (3577212)Termination reason: Instruction limit
% 7.43/1.39 % (3577212)Termination phase: Saturation
% 21.52/3.36 % (3577212)Time elapsed: 0.093 s
% 21.52/3.36 % (3577212)Peak memory usage: 13 MB
% 21.52/3.36 % (3577212)Instructions burned: 160 (million)
% 21.52/3.36 % (3577230)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2801453407:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 21.52/3.36 % Exception at run slice level
% 21.52/3.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.52/3.36 % (3577222)Instruction limit reached!
% 21.52/3.36 % (3577222)------------------------------
% 21.52/3.36 % (3577222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.36 % (3577222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.36 % (3577222)CaDiCaL version: 2.1.3
% 21.52/3.36 % (3577222)Termination reason: Instruction limit
% 21.52/3.36 % (3577222)Termination phase: Saturation
% 21.52/3.36 % (3577222)Time elapsed: 0.084 s
% 21.52/3.36 % (3577222)Peak memory usage: 13 MB
% 21.52/3.36 % (3577222)Instructions burned: 133 (million)
% 21.52/3.36 % (3577232)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=765073772:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 21.52/3.36 % (3577233)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=693322748:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 21.52/3.36 % Exception at run slice level
% 21.52/3.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.52/3.36 % (3577236)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=1955147862:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 21.52/3.36 % (3577226)Instruction limit reached!
% 21.52/3.36 % (3577226)------------------------------
% 21.52/3.36 % (3577226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.36 % (3577226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.36 % (3577226)CaDiCaL version: 2.1.3
% 21.52/3.36 % (3577226)Termination reason: Instruction limit
% 21.52/3.36 % (3577226)Termination phase: Saturation
% 21.52/3.36 % (3577226)Time elapsed: 0.091 s
% 21.52/3.36 % (3577226)Peak memory usage: 13 MB
% 21.52/3.36 % (3577226)Instructions burned: 184 (million)
% 21.52/3.36 % (3577238)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1019418193:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 21.52/3.36 % (3577223)Instruction limit reached!
% 21.52/3.36 % (3577223)------------------------------
% 21.52/3.36 % (3577223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.36 % (3577223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.36 % (3577223)CaDiCaL version: 2.1.3
% 21.52/3.36 % (3577223)Termination reason: Instruction limit
% 21.52/3.36 % (3577223)Termination phase: Saturation
% 21.52/3.36 % (3577223)Time elapsed: 0.189 s
% 21.52/3.36 % (3577223)Peak memory usage: 15 MB
% 21.52/3.36 % (3577223)Instructions burned: 688 (million)
% 21.52/3.36 % (3577240)fmb+10_1_sil=64000:random_seed=2241327191:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 21.52/3.36 % (3577240)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 21.52/3.36 % Exception at run slice level
% 21.52/3.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.52/3.36 % (3577242)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1163801401:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 21.52/3.36 % Exception at run slice level
% 21.52/3.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.52/3.36 % (3577244)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=837375271:fmbsr=1.7:i=920_2997 on theBenchmark for (2997ds/920Mi)
% 21.52/3.36 % Exception at run slice level
% 21.52/3.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.52/3.36 % (3577246)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1546374515:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 21.52/3.36 % (3577227)Instruction limit reached!
% 21.52/3.36 % (3577227)------------------------------
% 21.52/3.36 % (3577227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.36 % (3577227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.80/3.88 % (3577227)CaDiCaL version: 2.1.3
% 23.80/3.88 % (3577227)Termination reason: Instruction limit
% 23.80/3.88 % (3577227)Termination phase: Saturation
% 23.80/3.88 % (3577227)Time elapsed: 0.297 s
% 23.80/3.88 % (3577227)Peak memory usage: 14 MB
% 23.80/3.88 % (3577227)Instructions burned: 478 (million)
% 23.80/3.88 % (3577248)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1757223265:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 23.80/3.88 % (3577248)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 23.80/3.88 % (3577236)Instruction limit reached!
% 23.80/3.88 % (3577236)------------------------------
% 23.80/3.88 % (3577236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.80/3.88 % (3577236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.80/3.88 % (3577236)CaDiCaL version: 2.1.3
% 23.80/3.88 % (3577236)Termination reason: Instruction limit
% 23.80/3.88 % (3577236)Termination phase: Saturation
% 23.80/3.88 % (3577236)Time elapsed: 0.378 s
% 23.80/3.88 % (3577236)Peak memory usage: 16 MB
% 23.80/3.88 % (3577236)Instructions burned: 692 (million)
% 23.80/3.88 % (3577250)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3496806193:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 23.80/3.88 % Exception at run slice level
% 23.80/3.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 23.80/3.88 % (3577252)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3637635987:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 23.80/3.88 % Exception at run slice level
% 23.80/3.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 23.80/3.88 % (3577254)ott-2_1_sil=16000:newcnf=on:random_seed=1241686734:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 23.80/3.88 % (3577238)Instruction limit reached!
% 23.80/3.88 % (3577238)------------------------------
% 23.80/3.88 % (3577238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.80/3.88 % (3577238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.80/3.88 % (3577238)CaDiCaL version: 2.1.3
% 23.80/3.88 % (3577238)Termination reason: Instruction limit
% 23.80/3.88 % (3577238)Termination phase: Saturation
% 23.80/3.88 % (3577238)Time elapsed: 0.501 s
% 23.80/3.88 % (3577238)Peak memory usage: 19 MB
% 23.80/3.88 % (3577238)Instructions burned: 879 (million)
% 23.80/3.88 % (3577256)ott+10_1_sil=32000:tgt=ground:random_seed=389236175:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 23.80/3.88 % (3577232)Instruction limit reached!
% 23.80/3.88 % (3577232)------------------------------
% 23.80/3.88 % (3577232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.80/3.88 % (3577232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.80/3.88 % (3577232)CaDiCaL version: 2.1.3
% 23.80/3.88 % (3577232)Termination reason: Instruction limit
% 23.80/3.88 % (3577232)Termination phase: Saturation
% 23.80/3.88 % (3577232)Time elapsed: 0.705 s
% 23.80/3.88 % (3577232)Peak memory usage: 18 MB
% 23.80/3.88 % (3577232)Instructions burned: 1180 (million)
% 23.80/3.88 % (3577258)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3881286427:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 23.80/3.88 % Exception at run slice level
% 23.80/3.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 23.80/3.88 % (3577260)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2986019627:i=3512:aac=none_2990 on theBenchmark for (2990ds/3512Mi)
% 23.80/3.88 % (3577248)Instruction limit reached!
% 23.80/3.88 % (3577248)------------------------------
% 23.80/3.88 % (3577248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.80/3.88 % (3577248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.80/3.88 % (3577248)CaDiCaL version: 2.1.3
% 23.80/3.88 % (3577248)Termination reason: Instruction limit
% 23.80/3.88 % (3577248)Termination phase: Saturation
% 23.80/3.88 % (3577248)Time elapsed: 0.703 s
% 23.80/3.88 % (3577248)Peak memory usage: 24 MB
% 23.80/3.88 % (3577248)Instructions burned: 1472 (million)
% 23.80/3.88 % (3577254)Instruction limit reached!
% 23.80/3.88 % (3577254)------------------------------
% 23.80/3.88 % (3577254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.80/3.88 % (3577254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.80/3.88 % (3577254)CaDiCaL version: 2.1.3
% 23.80/3.88 % (3577254)Termination reason: Instruction limit
% 23.80/3.88 % (3577254)Termination phase: Saturation
% 23.80/3.88 % (3577254)Time elapsed: 0.503 s
% 23.80/3.88 % (3577254)Peak memory usage: 16 MB
% 23.80/3.88 % (3577254)Instructions burned: 870 (million)
% 23.80/3.88 % (3577262)dis+21_1_sil=32000:sas=cadical:random_seed=1189982720:i=3773:amm=off_2988 on theBenchmark for (2988ds/3773Mi)
% 23.80/3.88 % (3577263)ott+11_1_sil=16000:gs=on:random_seed=959187494:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 23.80/3.88 % (3577246)Instruction limit reached!
% 23.80/3.88 % (3577246)------------------------------
% 23.80/3.88 % (3577246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.80/3.88 % (3577246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.80/3.88 % (3577246)CaDiCaL version: 2.1.3
% 23.80/3.88 % (3577246)Termination reason: Instruction limit
% 23.80/3.88 % (3577246)Termination phase: Saturation
% 23.80/3.88 % (3577246)Time elapsed: 1.454 s
% 23.80/3.88 % (3577246)Peak memory usage: 30 MB
% 23.80/3.88 % (3577246)Instructions burned: 5132 (million)
% 23.80/3.88 % (3577266)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3039015812:fmbsr=1.6:i=67534_2982 on theBenchmark for (2982ds/67534Mi)
% 23.80/3.88 % Exception at run slice level
% 23.80/3.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 23.80/3.88 % (3577268)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=783242971:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2982 on theBenchmark for (2982ds/4591Mi)
% 23.80/3.88 % (3577263)Instruction limit reached!
% 23.80/3.88 % (3577263)------------------------------
% 23.80/3.88 % (3577263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.80/3.88 % (3577263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.80/3.88 % (3577263)CaDiCaL version: 2.1.3
% 23.80/3.88 % (3577263)Termination reason: Instruction limit
% 23.80/3.88 % (3577263)Termination phase: Saturation
% 23.80/3.88 % (3577263)Time elapsed: 1.179 s
% 23.80/3.88 % (3577263)Peak memory usage: 19 MB
% 23.80/3.88 % (3577263)Instructions burned: 2251 (million)
% 23.80/3.88 % (3577270)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2714340757:i=29340_2976 on theBenchmark for (2976ds/29340Mi)
% 23.80/3.88 % (3577260)Instruction limit reached!
% 23.80/3.88 % (3577260)------------------------------
% 23.80/3.88 % (3577260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.80/3.88 % (3577260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.80/3.88 % (3577260)CaDiCaL version: 2.1.3
% 23.80/3.88 % (3577260)Termination reason: Instruction limit
% 23.80/3.88 % (3577260)Termination phase: Saturation
% 23.80/3.88 % (3577260)Time elapsed: 1.879 s
% 23.80/3.88 % (3577260)Peak memory usage: 26 MB
% 23.80/3.88 % (3577260)Instructions burned: 3512 (million)
% 23.80/3.88 % (3577272)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=331620575:i=5211_2971 on theBenchmark for (2971ds/5211Mi)
% 23.80/3.88 % (3577268)Instruction limit reached!
% 23.80/3.88 % (3577268)------------------------------
% 23.80/3.88 % (3577268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.80/3.88 % (3577268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.80/3.88 % (3577268)CaDiCaL version: 2.1.3
% 23.80/3.88 % (3577268)Termination reason: Instruction limit
% 23.80/3.88 % (3577268)Termination phase: Saturation
% 23.80/3.88 % (3577268)Time elapsed: 1.292 s
% 23.80/3.88 % (3577268)Peak memory usage: 62 MB
% 23.80/3.88 % (3577268)Instructions burned: 4594 (million)
% 23.80/3.88 % (3577274)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3961330472:i=5497:nm=2_2969 on theBenchmark for (2969ds/5497Mi)
% 23.80/3.88 % Exception at run slice level
% 23.80/3.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 23.80/3.88 % (3577276)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1822838795:fmbsr=2:i=46332_2968 on theBenchmark for (2968ds/46332Mi)
% 23.80/3.88 % Exception at run slice level
% 23.80/3.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 23.80/3.88 % (3577278)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2222660812:i=14071_2968 on theBenchmark for (2968ds/14071Mi)
% 23.80/3.88 % Exception at run slice level
% 23.80/3.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 23.80/3.88 % (3577280)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3783951756:i=22565:add=on:rawr=on_2968 on theBenchmark for (2968ds/22565Mi)
% 23.80/3.88 % (3577262)Instruction limit reached!
% 23.80/3.88 % (3577262)------------------------------
% 23.80/3.88 % (3577262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.80/3.88 % (3577262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.80/3.88 % (3577262)CaDiCaL version: 2.1.3
% 23.80/3.88 % (3577262)Termination reason: Instruction limit
% 23.80/3.88 % (3577262)Termination phase: Saturation
% 23.80/3.88 % (3577262)Time elapsed: 2.049 s
% 23.80/3.88 % (3577262)Peak memory usage: 27 MB
% 23.80/3.88 % (3577262)Instructions burned: 3774 (million)
% 23.80/3.88 % (3577282)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2081540865:i=8173:av=off_2967 on theBenchmark for (2967ds/8173Mi)
% 23.80/3.88 % (3577270) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3577201-3577270"...
% 23.80/3.88 % (3577270)...printing done.
% 23.80/3.88 % (3577270)Refutation found. Thanks to Tanya!
% 23.80/3.88 % SZS status Theorem for theBenchmark
% 23.80/3.88 % SZS output start Proof for theBenchmark
% See solution above
% 23.80/3.88 % (3577270)------------------------------
% 23.80/3.88 % (3577270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.80/3.88 % (3577270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.80/3.88 % (3577270)CaDiCaL version: 2.1.3
% 23.80/3.88 % (3577270)Termination reason: Refutation
% 23.80/3.88 % (3577270)Time elapsed: 1.261 s
% 23.80/3.88 % (3577270)Peak memory usage: 22 MB
% 23.80/3.88 % (3577270)Instructions burned: 2510 (million)
% 23.80/3.88 % (3577201)Success in time 3.649 s
% 23.80/3.88 % Vampire exiting
%------------------------------------------------------------------------------