TSTP Solution File: SWW515_5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW515_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:33:21 EDT 2024
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 17 ~; 11 |; 1 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 20 ( 19 usr; 1 prp; 0-6 aty)
% Number of functors : 64 ( 64 usr; 15 con; 0-6 aty)
% Number of variables : 24 ( 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
a: $tType ).
tff(type_def_6,type,
b: $tType ).
tff(type_def_7,type,
com: $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,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combb:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(fun(X2,X0),fun(X2,X1)) ) ).
tff(func_def_1,type,
combc:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(X1,fun(X0,X2))) ).
tff(func_def_2,type,
combi:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_3,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_4,type,
combs:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(fun(X0,X1),fun(X0,X2))) ).
tff(func_def_5,type,
skip: com ).
tff(func_def_6,type,
semi: ( com * com ) > com ).
tff(func_def_7,type,
while: ( fun(state,bool) * com ) > com ).
tff(func_def_8,type,
the:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_9,type,
hoare_1841697145triple:
!>[X0: $tType] : fun(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),hoare_28830079triple(X0)))) ).
tff(func_def_10,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_11,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_12,type,
bot_bot:
!>[X0: $tType] : X0 ).
tff(func_def_13,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_14,type,
image:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,bool) ) > fun(X1,bool) ) ).
tff(func_def_15,type,
insert:
!>[X0: $tType] : fun(X0,fun(fun(X0,bool),fun(X0,bool))) ).
tff(func_def_16,type,
the_elem:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_17,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_18,type,
fFalse: bool ).
tff(func_def_19,type,
fNot: fun(bool,bool) ).
tff(func_def_20,type,
fTrue: bool ).
tff(func_def_21,type,
fconj: fun(bool,fun(bool,bool)) ).
tff(func_def_22,type,
fdisj: fun(bool,fun(bool,bool)) ).
tff(func_def_23,type,
fequal:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_24,type,
fimplies: fun(bool,fun(bool,bool)) ).
tff(func_def_25,type,
member:
!>[X0: $tType] : fun(X0,fun(fun(X0,bool),bool)) ).
tff(func_def_26,type,
f: fun(a,bool) ).
tff(func_def_27,type,
g: fun(hoare_28830079triple(b),bool) ).
tff(func_def_28,type,
p: fun(a,fun(b,fun(state,bool))) ).
tff(func_def_29,type,
p1: fun(a,fun(b,fun(state,bool))) ).
tff(func_def_30,type,
q: fun(a,fun(b,fun(state,bool))) ).
tff(func_def_31,type,
q1: fun(a,fun(b,fun(state,bool))) ).
tff(func_def_32,type,
c0: fun(a,com) ).
tff(func_def_33,type,
x: a ).
tff(func_def_34,type,
sK10:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_35,type,
sK11:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_36,type,
sK12:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_37,type,
sK13:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_38,type,
sK14:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_39,type,
sK15:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_40,type,
sK16:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_41,type,
sK17:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_42,type,
sK18:
!>[X0: $tType] : ( fun(fun(X0,bool),bool) > X0 ) ).
tff(func_def_43,type,
sK19:
!>[X0: $tType] : ( fun(fun(X0,bool),bool) > fun(X0,bool) ) ).
tff(func_def_44,type,
sK20:
!>[X0: $tType] : ( fun(fun(X0,bool),bool) > X0 ) ).
tff(func_def_45,type,
sK21:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,bool) ) > X0 ) ).
tff(func_def_46,type,
sK22:
!>[X0: $tType] : ( fun(fun(X0,bool),bool) > X0 ) ).
tff(func_def_47,type,
sK23:
!>[X0: $tType] : ( fun(fun(X0,bool),bool) > fun(X0,bool) ) ).
tff(func_def_48,type,
sK24:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,bool) ) > X1 ) ).
tff(func_def_49,type,
sK25:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_50,type,
sK26:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) * X0 * fun(X0,bool) ) > fun(X0,bool) ) ).
tff(func_def_51,type,
sK27:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,bool) * fun(X1,X0) * X0 ) > X1 ) ).
tff(func_def_52,type,
sK28:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(hoare_28830079triple(X0),bool) * fun(X0,fun(state,bool)) ) > X0 ) ).
tff(func_def_53,type,
sK29:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(hoare_28830079triple(X0),bool) * fun(X0,fun(state,bool)) ) > state ) ).
tff(func_def_54,type,
sK30:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,bool) * fun(X1,X0) * X0 ) > X1 ) ).
tff(func_def_55,type,
sK31:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > X0 ) ).
tff(func_def_56,type,
sK32:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > state ) ).
tff(func_def_57,type,
sK33:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > X0 ) ).
tff(func_def_58,type,
sK34:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > state ) ).
tff(func_def_59,type,
sK35:
!>[X0: $tType] : ( ( X0 * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * state * fun(X0,fun(state,bool)) ) > state ) ).
tff(func_def_60,type,
sK36:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > X0 ) ).
tff(func_def_61,type,
sK37:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > state ) ).
tff(pred_def_1,type,
bot:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
finite_finite1:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
finite_finite:
!>[X0: $tType] : ( fun(X0,bool) > $o ) ).
tff(pred_def_4,type,
finite_fold1Set:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_5,type,
finite_folding_one:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(fun(X0,bool),X0) ) > $o ) ).
tff(pred_def_6,type,
finite2073411215e_idem:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(fun(X0,bool),X0) ) > $o ) ).
tff(pred_def_7,type,
hoare_992312373derivs:
!>[X0: $tType] : ( ( fun(hoare_28830079triple(X0),bool) * fun(hoare_28830079triple(X0),bool) ) > $o ) ).
tff(pred_def_8,type,
pp: bool > $o ).
tff(pred_def_9,type,
sP0:
!>[X0: $tType] : ( fun(X0,bool) > $o ) ).
tff(pred_def_10,type,
sP1:
!>[X0: $tType] : ( fun(fun(X0,bool),bool) > $o ) ).
tff(pred_def_11,type,
sP2:
!>[X0: $tType] : ( fun(fun(X0,bool),bool) > $o ) ).
tff(pred_def_12,type,
sP3:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) * X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_13,type,
sP4:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 * X0 ) > $o ) ).
tff(pred_def_14,type,
sP5:
!>[X0: $tType] : ( ( fun(X0,bool) * X0 * fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_15,type,
sP6:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) * X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_16,type,
sP7:
!>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > $o ) ).
tff(pred_def_17,type,
sP8:
!>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > $o ) ).
tff(pred_def_18,type,
sP9:
!>[X0: $tType] : ( ( X0 * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * state * fun(X0,fun(state,bool)) ) > $o ) ).
tff(pred_def_19,type,
sQ38_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f822,plain,
$false,
inference(subsumption_resolution,[],[f809,f441]) ).
tff(f441,plain,
hoare_992312373derivs(b,g,aa(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool),aa(hoare_28830079triple(b),fun(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool)),insert(hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),hoare_28830079triple(b),aa(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),hoare_1841697145triple(b),aa(a,fun(b,fun(state,bool)),p1,x)),aa(a,com,c0,x)),aa(a,fun(b,fun(state,bool)),q1,x))),bot_bot(fun(hoare_28830079triple(b),bool)))),
inference(cnf_transformation,[],[f131]) ).
tff(f131,axiom,
( hoare_992312373derivs(b,g,image(a,hoare_28830079triple(b),aa(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b)),aa(fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),fun(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b))),combs(a,fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),fun(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combs(a,com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(b,fun(state,bool))),fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combb(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),a,hoare_1841697145triple(b)),p1)),c0)),q1),f))
& hoare_992312373derivs(b,g,aa(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool),aa(hoare_28830079triple(b),fun(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool)),insert(hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),hoare_28830079triple(b),aa(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),hoare_1841697145triple(b),aa(a,fun(b,fun(state,bool)),p1,x)),aa(a,com,c0,x)),aa(a,fun(b,fun(state,bool)),q1,x))),bot_bot(fun(hoare_28830079triple(b),bool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f809,plain,
~ hoare_992312373derivs(b,g,aa(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool),aa(hoare_28830079triple(b),fun(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool)),insert(hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),hoare_28830079triple(b),aa(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),hoare_1841697145triple(b),aa(a,fun(b,fun(state,bool)),p1,x)),aa(a,com,c0,x)),aa(a,fun(b,fun(state,bool)),q1,x))),bot_bot(fun(hoare_28830079triple(b),bool)))),
inference(resolution,[],[f805,f444]) ).
tff(f444,plain,
! [X0: a] :
( hoare_992312373derivs(b,g,aa(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool),aa(hoare_28830079triple(b),fun(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool)),insert(hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),hoare_28830079triple(b),aa(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),hoare_1841697145triple(b),aa(a,fun(b,fun(state,bool)),p,X0)),aa(a,com,c0,X0)),aa(a,fun(b,fun(state,bool)),q,X0))),bot_bot(fun(hoare_28830079triple(b),bool))))
| ~ hoare_992312373derivs(b,g,aa(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool),aa(hoare_28830079triple(b),fun(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool)),insert(hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),hoare_28830079triple(b),aa(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),hoare_1841697145triple(b),aa(a,fun(b,fun(state,bool)),p1,X0)),aa(a,com,c0,X0)),aa(a,fun(b,fun(state,bool)),q1,X0))),bot_bot(fun(hoare_28830079triple(b),bool)))) ),
inference(cnf_transformation,[],[f265]) ).
tff(f265,plain,
! [X0: a] :
( hoare_992312373derivs(b,g,aa(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool),aa(hoare_28830079triple(b),fun(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool)),insert(hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),hoare_28830079triple(b),aa(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),hoare_1841697145triple(b),aa(a,fun(b,fun(state,bool)),p,X0)),aa(a,com,c0,X0)),aa(a,fun(b,fun(state,bool)),q,X0))),bot_bot(fun(hoare_28830079triple(b),bool))))
| ~ hoare_992312373derivs(b,g,aa(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool),aa(hoare_28830079triple(b),fun(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool)),insert(hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),hoare_28830079triple(b),aa(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),hoare_1841697145triple(b),aa(a,fun(b,fun(state,bool)),p1,X0)),aa(a,com,c0,X0)),aa(a,fun(b,fun(state,bool)),q1,X0))),bot_bot(fun(hoare_28830079triple(b),bool)))) ),
inference(ennf_transformation,[],[f135]) ).
tff(f135,plain,
! [X0: a] :
( hoare_992312373derivs(b,g,aa(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool),aa(hoare_28830079triple(b),fun(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool)),insert(hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),hoare_28830079triple(b),aa(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),hoare_1841697145triple(b),aa(a,fun(b,fun(state,bool)),p1,X0)),aa(a,com,c0,X0)),aa(a,fun(b,fun(state,bool)),q1,X0))),bot_bot(fun(hoare_28830079triple(b),bool))))
=> hoare_992312373derivs(b,g,aa(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool),aa(hoare_28830079triple(b),fun(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool)),insert(hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),hoare_28830079triple(b),aa(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),hoare_1841697145triple(b),aa(a,fun(b,fun(state,bool)),p,X0)),aa(a,com,c0,X0)),aa(a,fun(b,fun(state,bool)),q,X0))),bot_bot(fun(hoare_28830079triple(b),bool)))) ),
inference(rectify,[],[f127]) ).
tff(f127,axiom,
! [X69: a] :
( hoare_992312373derivs(b,g,aa(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool),aa(hoare_28830079triple(b),fun(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool)),insert(hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),hoare_28830079triple(b),aa(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),hoare_1841697145triple(b),aa(a,fun(b,fun(state,bool)),p1,X69)),aa(a,com,c0,X69)),aa(a,fun(b,fun(state,bool)),q1,X69))),bot_bot(fun(hoare_28830079triple(b),bool))))
=> hoare_992312373derivs(b,g,aa(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool),aa(hoare_28830079triple(b),fun(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool)),insert(hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),hoare_28830079triple(b),aa(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),hoare_1841697145triple(b),aa(a,fun(b,fun(state,bool)),p,X69)),aa(a,com,c0,X69)),aa(a,fun(b,fun(state,bool)),q,X69))),bot_bot(fun(hoare_28830079triple(b),bool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f805,plain,
~ hoare_992312373derivs(b,g,aa(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool),aa(hoare_28830079triple(b),fun(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool)),insert(hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),hoare_28830079triple(b),aa(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),hoare_1841697145triple(b),aa(a,fun(b,fun(state,bool)),p,x)),aa(a,com,c0,x)),aa(a,fun(b,fun(state,bool)),q,x))),bot_bot(fun(hoare_28830079triple(b),bool)))),
inference(subsumption_resolution,[],[f802,f763]) ).
tff(f763,plain,
hoare_992312373derivs(b,g,image(a,hoare_28830079triple(b),aa(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b)),aa(fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),fun(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b))),combs(a,fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),fun(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combs(a,com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(b,fun(state,bool))),fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combb(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),a,hoare_1841697145triple(b)),p)),c0)),q),f)),
inference(subsumption_resolution,[],[f443,f442]) ).
tff(f442,plain,
hoare_992312373derivs(b,g,image(a,hoare_28830079triple(b),aa(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b)),aa(fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),fun(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b))),combs(a,fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),fun(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combs(a,com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(b,fun(state,bool))),fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combb(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),a,hoare_1841697145triple(b)),p1)),c0)),q1),f)),
inference(cnf_transformation,[],[f131]) ).
tff(f443,plain,
( hoare_992312373derivs(b,g,image(a,hoare_28830079triple(b),aa(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b)),aa(fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),fun(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b))),combs(a,fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),fun(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combs(a,com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(b,fun(state,bool))),fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combb(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),a,hoare_1841697145triple(b)),p)),c0)),q),f))
| ~ hoare_992312373derivs(b,g,image(a,hoare_28830079triple(b),aa(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b)),aa(fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),fun(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b))),combs(a,fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),fun(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combs(a,com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(b,fun(state,bool))),fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combb(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),a,hoare_1841697145triple(b)),p1)),c0)),q1),f)) ),
inference(cnf_transformation,[],[f264]) ).
tff(f264,plain,
( hoare_992312373derivs(b,g,image(a,hoare_28830079triple(b),aa(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b)),aa(fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),fun(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b))),combs(a,fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),fun(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combs(a,com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(b,fun(state,bool))),fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combb(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),a,hoare_1841697145triple(b)),p)),c0)),q),f))
| ~ hoare_992312373derivs(b,g,image(a,hoare_28830079triple(b),aa(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b)),aa(fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),fun(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b))),combs(a,fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),fun(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combs(a,com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(b,fun(state,bool))),fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combb(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),a,hoare_1841697145triple(b)),p1)),c0)),q1),f)) ),
inference(ennf_transformation,[],[f130]) ).
tff(f130,axiom,
( hoare_992312373derivs(b,g,image(a,hoare_28830079triple(b),aa(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b)),aa(fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),fun(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b))),combs(a,fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),fun(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combs(a,com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(b,fun(state,bool))),fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combb(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),a,hoare_1841697145triple(b)),p1)),c0)),q1),f))
=> hoare_992312373derivs(b,g,image(a,hoare_28830079triple(b),aa(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b)),aa(fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),fun(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b))),combs(a,fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),fun(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combs(a,com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(b,fun(state,bool))),fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combb(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),a,hoare_1841697145triple(b)),p)),c0)),q),f)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f802,plain,
( ~ hoare_992312373derivs(b,g,image(a,hoare_28830079triple(b),aa(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b)),aa(fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),fun(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b))),combs(a,fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),fun(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combs(a,com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(b,fun(state,bool))),fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combb(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),a,hoare_1841697145triple(b)),p)),c0)),q),f))
| ~ hoare_992312373derivs(b,g,aa(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool),aa(hoare_28830079triple(b),fun(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool)),insert(hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),hoare_28830079triple(b),aa(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),hoare_1841697145triple(b),aa(a,fun(b,fun(state,bool)),p,x)),aa(a,com,c0,x)),aa(a,fun(b,fun(state,bool)),q,x))),bot_bot(fun(hoare_28830079triple(b),bool)))) ),
inference(resolution,[],[f438,f561]) ).
tff(f561,plain,
! [X0: $tType,X2: hoare_28830079triple(X0),X3: fun(hoare_28830079triple(X0),bool),X1: fun(hoare_28830079triple(X0),bool)] :
( hoare_992312373derivs(X0,X3,aa(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool),aa(hoare_28830079triple(X0),fun(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool)),insert(hoare_28830079triple(X0)),X2),X1))
| ~ hoare_992312373derivs(X0,X3,X1)
| ~ hoare_992312373derivs(X0,X3,aa(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool),aa(hoare_28830079triple(X0),fun(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool)),insert(hoare_28830079triple(X0)),X2),bot_bot(fun(hoare_28830079triple(X0),bool)))) ),
inference(cnf_transformation,[],[f299]) ).
tff(f299,plain,
! [X0: $tType,X1: fun(hoare_28830079triple(X0),bool),X2: hoare_28830079triple(X0),X3: fun(hoare_28830079triple(X0),bool)] :
( hoare_992312373derivs(X0,X3,aa(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool),aa(hoare_28830079triple(X0),fun(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool)),insert(hoare_28830079triple(X0)),X2),X1))
| ~ hoare_992312373derivs(X0,X3,X1)
| ~ hoare_992312373derivs(X0,X3,aa(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool),aa(hoare_28830079triple(X0),fun(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool)),insert(hoare_28830079triple(X0)),X2),bot_bot(fun(hoare_28830079triple(X0),bool)))) ),
inference(flattening,[],[f298]) ).
tff(f298,plain,
! [X0: $tType,X1: fun(hoare_28830079triple(X0),bool),X2: hoare_28830079triple(X0),X3: fun(hoare_28830079triple(X0),bool)] :
( hoare_992312373derivs(X0,X3,aa(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool),aa(hoare_28830079triple(X0),fun(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool)),insert(hoare_28830079triple(X0)),X2),X1))
| ~ hoare_992312373derivs(X0,X3,X1)
| ~ hoare_992312373derivs(X0,X3,aa(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool),aa(hoare_28830079triple(X0),fun(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool)),insert(hoare_28830079triple(X0)),X2),bot_bot(fun(hoare_28830079triple(X0),bool)))) ),
inference(ennf_transformation,[],[f218]) ).
tff(f218,plain,
! [X0: $tType,X1: fun(hoare_28830079triple(X0),bool),X2: hoare_28830079triple(X0),X3: fun(hoare_28830079triple(X0),bool)] :
( hoare_992312373derivs(X0,X3,aa(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool),aa(hoare_28830079triple(X0),fun(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool)),insert(hoare_28830079triple(X0)),X2),bot_bot(fun(hoare_28830079triple(X0),bool))))
=> ( hoare_992312373derivs(X0,X3,X1)
=> hoare_992312373derivs(X0,X3,aa(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool),aa(hoare_28830079triple(X0),fun(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool)),insert(hoare_28830079triple(X0)),X2),X1)) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X2: $tType,X11: fun(hoare_28830079triple(X2),bool),X13: hoare_28830079triple(X2),X10: fun(hoare_28830079triple(X2),bool)] :
( hoare_992312373derivs(X2,X10,aa(fun(hoare_28830079triple(X2),bool),fun(hoare_28830079triple(X2),bool),aa(hoare_28830079triple(X2),fun(fun(hoare_28830079triple(X2),bool),fun(hoare_28830079triple(X2),bool)),insert(hoare_28830079triple(X2)),X13),bot_bot(fun(hoare_28830079triple(X2),bool))))
=> ( hoare_992312373derivs(X2,X10,X11)
=> hoare_992312373derivs(X2,X10,aa(fun(hoare_28830079triple(X2),bool),fun(hoare_28830079triple(X2),bool),aa(hoare_28830079triple(X2),fun(fun(hoare_28830079triple(X2),bool),fun(hoare_28830079triple(X2),bool)),insert(hoare_28830079triple(X2)),X13),X11)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f438,plain,
~ hoare_992312373derivs(b,g,aa(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool),aa(hoare_28830079triple(b),fun(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool)),insert(hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),hoare_28830079triple(b),aa(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),hoare_1841697145triple(b),aa(a,fun(b,fun(state,bool)),p,x)),aa(a,com,c0,x)),aa(a,fun(b,fun(state,bool)),q,x))),image(a,hoare_28830079triple(b),aa(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b)),aa(fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),fun(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b))),combs(a,fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),fun(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combs(a,com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(b,fun(state,bool))),fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combb(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),a,hoare_1841697145triple(b)),p)),c0)),q),f))),
inference(cnf_transformation,[],[f134]) ).
tff(f134,plain,
~ hoare_992312373derivs(b,g,aa(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool),aa(hoare_28830079triple(b),fun(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool)),insert(hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),hoare_28830079triple(b),aa(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),hoare_1841697145triple(b),aa(a,fun(b,fun(state,bool)),p,x)),aa(a,com,c0,x)),aa(a,fun(b,fun(state,bool)),q,x))),image(a,hoare_28830079triple(b),aa(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b)),aa(fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),fun(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b))),combs(a,fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),fun(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combs(a,com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(b,fun(state,bool))),fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combb(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),a,hoare_1841697145triple(b)),p)),c0)),q),f))),
inference(flattening,[],[f133]) ).
tff(f133,negated_conjecture,
~ hoare_992312373derivs(b,g,aa(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool),aa(hoare_28830079triple(b),fun(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool)),insert(hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),hoare_28830079triple(b),aa(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),hoare_1841697145triple(b),aa(a,fun(b,fun(state,bool)),p,x)),aa(a,com,c0,x)),aa(a,fun(b,fun(state,bool)),q,x))),image(a,hoare_28830079triple(b),aa(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b)),aa(fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),fun(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b))),combs(a,fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),fun(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combs(a,com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(b,fun(state,bool))),fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combb(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),a,hoare_1841697145triple(b)),p)),c0)),q),f))),
inference(negated_conjecture,[],[f132]) ).
tff(f132,conjecture,
hoare_992312373derivs(b,g,aa(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool),aa(hoare_28830079triple(b),fun(fun(hoare_28830079triple(b),bool),fun(hoare_28830079triple(b),bool)),insert(hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),hoare_28830079triple(b),aa(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),hoare_1841697145triple(b),aa(a,fun(b,fun(state,bool)),p,x)),aa(a,com,c0,x)),aa(a,fun(b,fun(state,bool)),q,x))),image(a,hoare_28830079triple(b),aa(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b)),aa(fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),fun(fun(a,fun(b,fun(state,bool))),fun(a,hoare_28830079triple(b))),combs(a,fun(b,fun(state,bool)),hoare_28830079triple(b)),aa(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),fun(fun(a,com),fun(a,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combs(a,com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),aa(fun(a,fun(b,fun(state,bool))),fun(a,fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b)))),combb(fun(b,fun(state,bool)),fun(com,fun(fun(b,fun(state,bool)),hoare_28830079triple(b))),a,hoare_1841697145triple(b)),p)),c0)),q),f))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW515_5 : TPTP v8.2.0. Released v6.0.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.11/0.33 % Computer : n004.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Jun 19 05:31:54 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.35 This is a TF1_THM_EQU_NAR problem
% 0.11/0.35 Running first-order theorem proving
% 0.11/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.43 % (17245)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (17250)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.20/0.43 % (17245)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (17249)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.20/0.43 % (17245)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (17248)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.20/0.43 % (17245)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (17251)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.20/0.43 % (17245)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (17252)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.20/0.43 % (17245)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (17247)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.20/0.43 % (17245)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (17246)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.20/0.48 % (17252)Instruction limit reached!
% 0.20/0.48 % (17252)------------------------------
% 0.20/0.48 % (17252)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (17252)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (17252)Termination reason: Time limit
% 0.20/0.48 % (17252)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (17252)Memory used [KB]: 2169
% 0.20/0.48 % (17252)Time elapsed: 0.054 s
% 0.20/0.48 % (17252)Instructions burned: 126 (million)
% 0.20/0.48 % (17250)Instruction limit reached!
% 0.20/0.48 % (17250)------------------------------
% 0.20/0.48 % (17250)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (17250)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (17250)Termination reason: Time limit
% 0.20/0.48 % (17250)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (17250)Memory used [KB]: 2135
% 0.20/0.48 % (17250)Time elapsed: 0.057 s
% 0.20/0.48 % (17250)Instructions burned: 110 (million)
% 0.20/0.50 % (17251)Instruction limit reached!
% 0.20/0.50 % (17251)------------------------------
% 0.20/0.50 % (17251)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.50 % (17251)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.50 % (17251)Termination reason: Time limit
% 0.20/0.50 % (17251)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (17251)Memory used [KB]: 2383
% 0.20/0.50 % (17251)Time elapsed: 0.074 s
% 0.20/0.50 % (17251)Instructions burned: 133 (million)
% 0.20/0.51 % (17245)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51 % (17253)lrs+1011_1:1_sil=16000:sos=on:erd=off:i=126:nm=2:ep=RST_0 on theBenchmark for (2998ds/126Mi)
% 0.20/0.52 % (17245)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.52 % (17254)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=145:ss=axioms:sgt=4_0 on theBenchmark for (2998ds/145Mi)
% 0.20/0.53 % (17253)First to succeed.
% 0.20/0.53 % (17253)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17245"
% 0.20/0.53 % (17245)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.53 % (17253)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (17253)------------------------------
% 0.20/0.53 % (17253)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.53 % (17253)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.53 % (17253)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (17253)Memory used [KB]: 1716
% 0.20/0.53 % (17253)Time elapsed: 0.014 s
% 0.20/0.53 % (17253)Instructions burned: 44 (million)
% 0.20/0.53 % (17253)------------------------------
% 0.20/0.53 % (17253)------------------------------
% 0.20/0.53 % (17245)Success in time 0.148 s
%------------------------------------------------------------------------------