%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW470_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:30:26 PM UTC 2026
% Result : Theorem 3.75s 1.31s
% Output : Refutation 4.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 3 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-6 aty)
% Number of functors : 46 ( 46 usr; 11 con; 0-7 aty)
% Number of variables : 32 ( 30 !; 2 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
a: $tType ).
tff(type_def_6,type,
com: $tType ).
tff(type_def_7,type,
state: $tType ).
tff(type_def_8,type,
bool: $tType ).
tff(type_def_9,type,
hoare_28830079triple: $tType > $tType ).
tff(type_def_10,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,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_3,type,
combs:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(fun(X0,X1),fun(X0,X2))) ).
tff(func_def_4,type,
skip: com ).
tff(func_def_5,type,
semi: ( com * com ) > com ).
tff(func_def_6,type,
finite_fold1:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > fun(fun(X0,bool),X0) ) ).
tff(func_def_7,type,
finite_fold1Set:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,bool) ) > fun(X0,bool) ) ).
tff(func_def_8,type,
the:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_9,type,
hoare_1841697145triple:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * 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,
insert:
!>[X0: $tType] : fun(X0,fun(fun(X0,bool),fun(X0,bool))) ).
tff(func_def_15,type,
the_elem:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_16,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_17,type,
fFalse: bool ).
tff(func_def_18,type,
fNot: fun(bool,bool) ).
tff(func_def_19,type,
fTrue: bool ).
tff(func_def_20,type,
fconj: fun(bool,fun(bool,bool)) ).
tff(func_def_21,type,
fdisj: fun(bool,fun(bool,bool)) ).
tff(func_def_22,type,
fequal:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_23,type,
fimplies: fun(bool,fun(bool,bool)) ).
tff(func_def_24,type,
member:
!>[X0: $tType] : fun(X0,fun(fun(X0,bool),bool)) ).
tff(func_def_25,type,
g: fun(hoare_28830079triple(a),bool) ).
tff(func_def_26,type,
p: fun(a,fun(state,bool)) ).
tff(func_def_27,type,
b: fun(state,bool) ).
tff(func_def_28,type,
c: com ).
tff(func_def_29,type,
sK0:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(hoare_28830079triple(X0),bool) * fun(X0,fun(state,bool)) ) > X0 ) ).
tff(func_def_30,type,
sK1:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(hoare_28830079triple(X0),bool) * fun(X0,fun(state,bool)) ) > state ) ).
tff(func_def_31,type,
sK2:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(hoare_28830079triple(X0),bool) * fun(X0,fun(state,bool)) ) > X0 ) ).
tff(func_def_32,type,
sK3:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(hoare_28830079triple(X0),bool) * fun(X0,fun(state,bool)) ) > state ) ).
tff(func_def_33,type,
sK4:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(hoare_28830079triple(X0),bool) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > state ) ).
tff(func_def_34,type,
sK5:
!>[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_35,type,
sK6:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > state ) ).
tff(func_def_36,type,
sK7:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > state ) ).
tff(func_def_37,type,
sK8:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > X0 ) ).
tff(func_def_38,type,
sK9:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > state ) ).
tff(func_def_39,type,
sK10:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > X0 ) ).
tff(func_def_40,type,
sK11:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > state ) ).
tff(func_def_41,type,
sK12:
!>[X0: $tType] : ( hoare_28830079triple(X0) > fun(X0,fun(state,bool)) ) ).
tff(func_def_42,type,
sK13:
!>[X0: $tType] : ( hoare_28830079triple(X0) > com ) ).
tff(func_def_43,type,
sK14:
!>[X0: $tType] : ( hoare_28830079triple(X0) > fun(X0,fun(state,bool)) ) ).
tff(pred_def_1,type,
bot:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
finite_finite:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
finite_finite1:
!>[X0: $tType] : ( fun(X0,bool) > $o ) ).
tff(pred_def_4,type,
finite_fold_graph:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * fun(X0,bool) * X1 ) > $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(f8,axiom,
! [X0: $tType,X1: fun(X0,fun(state,bool)),X2: com,X3: fun(hoare_28830079triple(X0),bool),X4: fun(X0,fun(state,bool))] :
( ! [X5: X0,X6: state] :
( pp(aa(state,bool,aa(X0,fun(state,bool),X4,X5),X6))
=> 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)),hoare_1841697145triple(X0,combk(fun(state,bool),X0,aa(state,fun(state,bool),aa(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),X6)),X2,combk(fun(state,bool),X0,aa(X0,fun(state,bool),X1,X5)))),bot_bot(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)),hoare_1841697145triple(X0,X4,X2,X1)),bot_bot(fun(hoare_28830079triple(X0),bool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_escape) ).
tff(f105,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_pp_1_1_U) ).
tff(f111,axiom,
! [X0: $tType,X1: $tType,X2: X0,X3: X1] : ( aa(X0,X1,combk(X1,X0,X3),X2) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_U) ).
tff(f126,conjecture,
hoare_992312373derivs(a,g,aa(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool),aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool)),insert(hoare_28830079triple(a)),hoare_1841697145triple(a,combk(fun(state,bool),a,combk(bool,state,fFalse)),c,aa(fun(state,bool),fun(a,fun(state,bool)),aa(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(a,fun(state,bool))),combc(a,fun(state,bool),fun(state,bool)),aa(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a,combs(state,bool,bool)),aa(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool))),combb(fun(state,bool),fun(state,fun(bool,bool)),a,combb(bool,fun(bool,bool),state,fconj)),p))),aa(fun(state,bool),fun(state,bool),combb(bool,bool,state,fNot),b)))),bot_bot(fun(hoare_28830079triple(a),bool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f127,negated_conjecture,
~ hoare_992312373derivs(a,g,aa(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool),aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool)),insert(hoare_28830079triple(a)),hoare_1841697145triple(a,combk(fun(state,bool),a,combk(bool,state,fFalse)),c,aa(fun(state,bool),fun(a,fun(state,bool)),aa(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(a,fun(state,bool))),combc(a,fun(state,bool),fun(state,bool)),aa(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a,combs(state,bool,bool)),aa(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool))),combb(fun(state,bool),fun(state,fun(bool,bool)),a,combb(bool,fun(bool,bool),state,fconj)),p))),aa(fun(state,bool),fun(state,bool),combb(bool,bool,state,fNot),b)))),bot_bot(fun(hoare_28830079triple(a),bool)))),
inference(negated_conjecture,[status(cth)],[f126]) ).
tff(f128,plain,
~ hoare_992312373derivs(a,g,aa(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool),aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool)),insert(hoare_28830079triple(a)),hoare_1841697145triple(a,combk(fun(state,bool),a,combk(bool,state,fFalse)),c,aa(fun(state,bool),fun(a,fun(state,bool)),aa(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(a,fun(state,bool))),combc(a,fun(state,bool),fun(state,bool)),aa(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a,combs(state,bool,bool)),aa(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool))),combb(fun(state,bool),fun(state,fun(bool,bool)),a,combb(bool,fun(bool,bool),state,fconj)),p))),aa(fun(state,bool),fun(state,bool),combb(bool,bool,state,fNot),b)))),bot_bot(fun(hoare_28830079triple(a),bool)))),
inference(flattening,[],[f127]) ).
tff(f130,plain,
! [X0: $tType,X1: fun(X0,fun(state,bool)),X2: com,X3: fun(hoare_28830079triple(X0),bool),X4: fun(X0,fun(state,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)),hoare_1841697145triple(X0,X4,X2,X1)),bot_bot(fun(hoare_28830079triple(X0),bool))))
| ? [X5: X0,X6: state] :
( ~ 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)),hoare_1841697145triple(X0,combk(fun(state,bool),X0,aa(state,fun(state,bool),aa(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),X6)),X2,combk(fun(state,bool),X0,aa(X0,fun(state,bool),X1,X5)))),bot_bot(fun(hoare_28830079triple(X0),bool))))
& pp(aa(state,bool,aa(X0,fun(state,bool),X4,X5),X6)) ) ),
inference(ennf_transformation,[],[f8]) ).
tff(f149,plain,
! [X0: $tType,X1: fun(X0,fun(state,bool)),X2: com,X3: fun(hoare_28830079triple(X0),bool),X4: fun(X0,fun(state,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)),hoare_1841697145triple(X0,X4,X2,X1)),bot_bot(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)),hoare_1841697145triple(X0,combk(fun(state,bool),X0,aa(state,fun(state,bool),aa(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),sK1(X0,X1,X2,X3,X4))),X2,combk(fun(state,bool),X0,aa(X0,fun(state,bool),X1,sK0(X0,X1,X2,X3,X4))))),bot_bot(fun(hoare_28830079triple(X0),bool))))
& pp(aa(state,bool,aa(X0,fun(state,bool),X4,sK0(X0,X1,X2,X3,X4)),sK1(X0,X1,X2,X3,X4))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X5,sK0(X0,X1,X2,X3,X4)),skolemize(X6,sK1(X0,X1,X2,X3,X4))],[f130]) ).
tff(f161,plain,
~ hoare_992312373derivs(a,g,aa(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool),aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool)),insert(hoare_28830079triple(a)),hoare_1841697145triple(a,combk(fun(state,bool),a,combk(bool,state,fFalse)),c,aa(fun(state,bool),fun(a,fun(state,bool)),aa(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(a,fun(state,bool))),combc(a,fun(state,bool),fun(state,bool)),aa(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a,combs(state,bool,bool)),aa(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool))),combb(fun(state,bool),fun(state,fun(bool,bool)),a,combb(bool,fun(bool,bool),state,fconj)),p))),aa(fun(state,bool),fun(state,bool),combb(bool,bool,state,fNot),b)))),bot_bot(fun(hoare_28830079triple(a),bool)))),
inference(cnf_transformation,[],[f128]) ).
tff(f165,plain,
! [X1: $tType,X0: $tType,X2: X0,X3: X1] : ( aa(X0,X1,combk(X1,X0,X3),X2) = X3 ),
inference(cnf_transformation,[],[f111]) ).
tff(f167,plain,
! [X0: $tType,X2: com,X3: fun(hoare_28830079triple(X0),bool),X1: fun(X0,fun(state,bool)),X4: fun(X0,fun(state,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)),hoare_1841697145triple(X0,X4,X2,X1)),bot_bot(fun(hoare_28830079triple(X0),bool))))
| pp(aa(state,bool,aa(X0,fun(state,bool),X4,sK0(X0,X1,X2,X3,X4)),sK1(X0,X1,X2,X3,X4))) ),
inference(cnf_transformation,[],[f149]) ).
tff(f206,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f105]) ).
tff(f783,plain,
pp(aa(state,bool,aa(a,fun(state,bool),combk(fun(state,bool),a,combk(bool,state,fFalse)),sK0(a,aa(fun(state,bool),fun(a,fun(state,bool)),aa(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(a,fun(state,bool))),combc(a,fun(state,bool),fun(state,bool)),aa(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a,combs(state,bool,bool)),aa(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool))),combb(fun(state,bool),fun(state,fun(bool,bool)),a,combb(bool,fun(bool,bool),state,fconj)),p))),aa(fun(state,bool),fun(state,bool),combb(bool,bool,state,fNot),b)),c,g,combk(fun(state,bool),a,combk(bool,state,fFalse)))),sK1(a,aa(fun(state,bool),fun(a,fun(state,bool)),aa(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(a,fun(state,bool))),combc(a,fun(state,bool),fun(state,bool)),aa(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a,combs(state,bool,bool)),aa(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool))),combb(fun(state,bool),fun(state,fun(bool,bool)),a,combb(bool,fun(bool,bool),state,fconj)),p))),aa(fun(state,bool),fun(state,bool),combb(bool,bool,state,fNot),b)),c,g,combk(fun(state,bool),a,combk(bool,state,fFalse))))),
inference(unit_resulting_resolution,[],[f167,f161]) ).
tff(f805,plain,
pp(aa(state,bool,combk(bool,state,fFalse),sK1(a,aa(fun(state,bool),fun(a,fun(state,bool)),aa(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(a,fun(state,bool))),combc(a,fun(state,bool),fun(state,bool)),aa(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a,combs(state,bool,bool)),aa(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool))),combb(fun(state,bool),fun(state,fun(bool,bool)),a,combb(bool,fun(bool,bool),state,fconj)),p))),aa(fun(state,bool),fun(state,bool),combb(bool,bool,state,fNot),b)),c,g,combk(fun(state,bool),a,combk(bool,state,fFalse))))),
inference(forward_demodulation,[],[f783,f165]) ).
tff(f806,plain,
pp(fFalse),
inference(forward_demodulation,[],[f805,f165]) ).
tff(f807,plain,
$false,
inference(forward_subsumption_resolution,[],[f806,f206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW470_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n008.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 14:03:25 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.75/1.31 % (2263621)Detected formulas, will run a generic FOF schedule.
% 3.75/1.31 % (2263630)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2105370652:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.75/1.31 % (2263631)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3834251639:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.75/1.31 % (2263632)dis-21_1_sil=8000:lcm=predicate:random_seed=1019171800:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.75/1.31 % (2263629)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=214978082:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.75/1.31 % (2263626)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=81965274:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.75/1.31 % (2263628)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3430459734:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.75/1.31 % (2263627)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3556672641:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.75/1.31 % (2263630)Instruction limit reached!
% 3.75/1.31 % (2263630)------------------------------
% 3.75/1.31 % (2263630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.31 % (2263630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.31 % (2263630)CaDiCaL version: 2.1.3
% 3.75/1.31 % (2263630)Termination reason: Instruction limit
% 3.75/1.31 % (2263630)Termination phase: Saturation
% 3.75/1.31 % (2263630)Time elapsed: 0.038 s
% 3.75/1.31 % (2263630)Peak memory usage: 89 MB
% 3.75/1.31 % (2263630)Instructions burned: 119 (million)
% 3.75/1.31 % (2263629)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.75/1.31 % (2263628)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.75/1.31 % (2263629)Refutation not found, incomplete strategy
% 3.75/1.31 % (2263629)------------------------------
% 3.75/1.31 % (2263629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.31 % (2263629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.31 % (2263629)CaDiCaL version: 2.1.3
% 3.75/1.31 % (2263629)Termination reason: Refutation not found, incomplete strategy
% 3.75/1.31 % (2263629)Time elapsed: 0.010 s
% 3.75/1.31 % (2263629)Peak memory usage: 89 MB
% 3.75/1.31 % (2263629)Instructions burned: 17 (million)
% 3.75/1.31 % (2263632)Instruction limit reached!
% 3.75/1.31 % (2263632)------------------------------
% 3.75/1.31 % (2263632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.31 % (2263632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.31 % (2263632)CaDiCaL version: 2.1.3
% 3.75/1.31 % (2263632)Termination reason: Instruction limit
% 3.75/1.31 % (2263632)Termination phase: Saturation
% 3.75/1.31 % (2263632)Time elapsed: 0.051 s
% 3.75/1.31 % (2263632)Peak memory usage: 88 MB
% 3.75/1.31 % (2263632)Instructions burned: 129 (million)
% 3.75/1.31 % (2263631)Instruction limit reached!
% 3.75/1.31 % (2263631)------------------------------
% 3.75/1.31 % (2263631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.31 % (2263631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.31 % (2263631)CaDiCaL version: 2.1.3
% 3.75/1.31 % (2263631)Termination reason: Instruction limit
% 3.75/1.31 % (2263631)Termination phase: Saturation
% 3.75/1.31 % (2263631)Time elapsed: 0.090 s
% 3.75/1.31 % (2263631)Peak memory usage: 90 MB
% 3.75/1.31 % (2263631)Instructions burned: 139 (million)
% 3.75/1.31 % (2263640)lrs+10_1_sil=8000:sp=occurrence:random_seed=664525274:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.75/1.31 % (2263641)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2201311231:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.75/1.31 % (2263640)Instruction limit reached!
% 3.75/1.31 % (2263640)------------------------------
% 3.75/1.31 % (2263640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.31 % (2263640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.31 % (2263640)CaDiCaL version: 2.1.3
% 3.75/1.31 % (2263640)Termination reason: Instruction limit
% 3.75/1.31 % (2263640)Termination phase: Saturation
% 3.75/1.31 % (2263640)Time elapsed: 0.090 s
% 3.75/1.31 % (2263640)Peak memory usage: 90 MB
% 3.75/1.31 % (2263640)Instructions burned: 288 (million)
% 3.75/1.31 % (2263641)First to succeed.
% 3.75/1.31 % (2263641)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2263621"
% 3.75/1.31 % (2263642)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1773625868:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.75/1.31 % (2263629)------------------------------
% 3.75/1.31 % (2263629)------------------------------
% 3.75/1.31 % (2263642)Also succeeded, but the first one will report.
% 3.75/1.31 % (2263645)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1646434934:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.75/1.31 % (2263645)Also succeeded, but the first one will report.
% 3.75/1.31 % Exception at run slice level
% 3.75/1.31 User error: GNN currently only supports monomorphic FOL.
% 3.75/1.31 % Exception at run slice level
% 3.75/1.31 User error: GNN currently only supports monomorphic FOL.
% 3.75/1.31 % Exception at run slice level
% 3.75/1.31 User error: GNN currently only supports monomorphic FOL.
% 3.75/1.31 % (2263647)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3162715921:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.75/1.31 % (2263641)Refutation found. Thanks to Tanya!
% 3.75/1.31 % SZS status Theorem for theBenchmark
% 3.75/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 4.95/1.45 % (2263641)------------------------------
% 4.95/1.45 % (2263641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.95/1.45 % (2263641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.95/1.45 % (2263641)CaDiCaL version: 2.1.3
% 4.95/1.45 % (2263641)Termination reason: Refutation
% 4.95/1.45 % (2263641)Time elapsed: 0.034 s
% 4.95/1.45 % (2263641)Peak memory usage: 90 MB
% 4.95/1.45 % (2263641)Instructions burned: 54 (million)
% 4.95/1.45 % (2263641)------------------------------
% 4.95/1.45 % (2263641)------------------------------
% 4.95/1.45 % (2263621)Success in time 0.634 s
% 4.95/1.45 % Vampire exiting
%------------------------------------------------------------------------------