TSTP Solution File: SWW510_5 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW510_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n011.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 18:33:20 EDT 2024
% Result : Theorem 0.25s 0.48s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 86 ( 9 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 100 ( 47 ~; 33 |; 16 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-6 aty)
% Number of functors : 57 ( 57 usr; 11 con; 0-7 aty)
% Number of variables : 111 ( 94 !; 17 ?; 111 :)
% 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(X2,X0) ) > fun(X2,X1) ) ).
tff(func_def_1,type,
combc:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * 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(X0,fun(X1,X2)) * 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,
q: a > fun(state,bool) ).
tff(func_def_27,type,
c: com ).
tff(func_def_28,type,
sK0: a ).
tff(func_def_29,type,
sK1: state ).
tff(func_def_30,type,
sK2: ( fun(a,fun(state,bool)) * fun(a,fun(state,bool)) ) > state ).
tff(func_def_31,type,
sK3:
!>[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_32,type,
sK4:
!>[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_33,type,
sK5:
!>[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_34,type,
sK6:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > X0 ) ).
tff(func_def_35,type,
sK7:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > state ) ).
tff(func_def_36,type,
sK8:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > X0 ) ).
tff(func_def_37,type,
sK9:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > state ) ).
tff(func_def_38,type,
sK10:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(hoare_28830079triple(X0),bool) * fun(X0,fun(state,bool)) ) > X0 ) ).
tff(func_def_39,type,
sK11:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(hoare_28830079triple(X0),bool) * fun(X0,fun(state,bool)) ) > state ) ).
tff(func_def_40,type,
sK12:
!>[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_41,type,
sK13:
!>[X0: $tType] : ( hoare_28830079triple(X0) > fun(X0,fun(state,bool)) ) ).
tff(func_def_42,type,
sK14:
!>[X0: $tType] : ( hoare_28830079triple(X0) > com ) ).
tff(func_def_43,type,
sK15:
!>[X0: $tType] : ( hoare_28830079triple(X0) > fun(X0,fun(state,bool)) ) ).
tff(func_def_44,type,
sK16:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_45,type,
sK17:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_46,type,
sK18:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_47,type,
sK19:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_48,type,
sK20:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).
tff(func_def_49,type,
sK21:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_50,type,
sK22:
!>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).
tff(func_def_51,type,
sK23:
!>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).
tff(func_def_52,type,
sK24:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).
tff(func_def_53,type,
sK25:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).
tff(func_def_54,type,
sK26:
!>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).
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(pred_def_9,type,
p: ( a * state ) > $o ).
tff(f443,plain,
$false,
inference(resolution,[],[f438,f240]) ).
tff(f240,plain,
p(sK0,sK1),
inference(cnf_transformation,[],[f195]) ).
tff(f195,plain,
( ! [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool))] :
( ( ~ pp(aa(state,bool,q(sK0),sK2(X2,X3)))
& ! [X5: a] :
( pp(aa(state,bool,aa(a,fun(state,bool),X3,X5),sK2(X2,X3)))
| ~ pp(aa(state,bool,aa(a,fun(state,bool),X2,X5),sK1)) ) )
| ~ 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,X2,c,X3)),bot_bot(fun(hoare_28830079triple(a),bool)))) )
& p(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f166,f194,f193]) ).
tff(f193,plain,
( ? [X0: a,X1: state] :
( ! [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool))] :
( ? [X4: state] :
( ~ pp(aa(state,bool,q(X0),X4))
& ! [X5: a] :
( pp(aa(state,bool,aa(a,fun(state,bool),X3,X5),X4))
| ~ pp(aa(state,bool,aa(a,fun(state,bool),X2,X5),X1)) ) )
| ~ 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,X2,c,X3)),bot_bot(fun(hoare_28830079triple(a),bool)))) )
& p(X0,X1) )
=> ( ! [X3: fun(a,fun(state,bool)),X2: fun(a,fun(state,bool))] :
( ? [X4: state] :
( ~ pp(aa(state,bool,q(sK0),X4))
& ! [X5: a] :
( pp(aa(state,bool,aa(a,fun(state,bool),X3,X5),X4))
| ~ pp(aa(state,bool,aa(a,fun(state,bool),X2,X5),sK1)) ) )
| ~ 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,X2,c,X3)),bot_bot(fun(hoare_28830079triple(a),bool)))) )
& p(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f194,plain,
! [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool))] :
( ? [X4: state] :
( ~ pp(aa(state,bool,q(sK0),X4))
& ! [X5: a] :
( pp(aa(state,bool,aa(a,fun(state,bool),X3,X5),X4))
| ~ pp(aa(state,bool,aa(a,fun(state,bool),X2,X5),sK1)) ) )
=> ( ~ pp(aa(state,bool,q(sK0),sK2(X2,X3)))
& ! [X5: a] :
( pp(aa(state,bool,aa(a,fun(state,bool),X3,X5),sK2(X2,X3)))
| ~ pp(aa(state,bool,aa(a,fun(state,bool),X2,X5),sK1)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f166,plain,
? [X0: a,X1: state] :
( ! [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool))] :
( ? [X4: state] :
( ~ pp(aa(state,bool,q(X0),X4))
& ! [X5: a] :
( pp(aa(state,bool,aa(a,fun(state,bool),X3,X5),X4))
| ~ pp(aa(state,bool,aa(a,fun(state,bool),X2,X5),X1)) ) )
| ~ 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,X2,c,X3)),bot_bot(fun(hoare_28830079triple(a),bool)))) )
& p(X0,X1) ),
inference(ennf_transformation,[],[f129]) ).
tff(f129,plain,
~ ! [X0: a,X1: state] :
( ? [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool))] :
( ! [X4: state] :
( pp(aa(state,bool,q(X0),X4))
| ? [X5: a] :
( ~ pp(aa(state,bool,aa(a,fun(state,bool),X3,X5),X4))
& pp(aa(state,bool,aa(a,fun(state,bool),X2,X5),X1)) ) )
& 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,X2,c,X3)),bot_bot(fun(hoare_28830079triple(a),bool)))) )
| ~ p(X0,X1) ),
inference(rectify,[],[f128]) ).
tff(f128,negated_conjecture,
~ ! [X19: a,X20: state] :
( ? [X49: fun(a,fun(state,bool)),X50: fun(a,fun(state,bool))] :
( ! [X22: state] :
( pp(aa(state,bool,q(X19),X22))
| ? [X23: a] :
( ~ pp(aa(state,bool,aa(a,fun(state,bool),X50,X23),X22))
& pp(aa(state,bool,aa(a,fun(state,bool),X49,X23),X20)) ) )
& 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,X49,c,X50)),bot_bot(fun(hoare_28830079triple(a),bool)))) )
| ~ p(X19,X20) ),
inference(negated_conjecture,[],[f127]) ).
tff(f127,conjecture,
! [X19: a,X20: state] :
( ? [X49: fun(a,fun(state,bool)),X50: fun(a,fun(state,bool))] :
( ! [X22: state] :
( pp(aa(state,bool,q(X19),X22))
| ? [X23: a] :
( ~ pp(aa(state,bool,aa(a,fun(state,bool),X50,X23),X22))
& pp(aa(state,bool,aa(a,fun(state,bool),X49,X23),X20)) ) )
& 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,X49,c,X50)),bot_bot(fun(hoare_28830079triple(a),bool)))) )
| ~ p(X19,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f438,plain,
~ p(sK0,sK1),
inference(resolution,[],[f432,f346]) ).
tff(f346,plain,
! [X0: $tType,X2: X0] : pp(aa(X0,bool,combc(X0,X0,bool,fequal(X0),X2),X2)),
inference(backward_demodulation,[],[f317,f276]) ).
tff(f276,plain,
! [X1: $tType,X0: $tType,X2: $tType,X3: X0,X4: X2,X5: fun(X0,fun(X2,X1))] : ( aa(X0,X1,combc(X0,X2,X1,X5,X4),X3) = aa(X2,X1,aa(X0,fun(X2,X1),X5,X3),X4) ),
inference(cnf_transformation,[],[f147]) ).
tff(f147,plain,
! [X0: $tType,X1: $tType,X2: $tType,X3: X0,X4: X2,X5: fun(X0,fun(X2,X1))] : ( aa(X0,X1,combc(X0,X2,X1,X5,X4),X3) = aa(X2,X1,aa(X0,fun(X2,X1),X5,X3),X4) ),
inference(rectify,[],[f110]) ).
tff(f110,axiom,
! [X0: $tType,X2: $tType,X1: $tType,X68: X0,X69: X1,X67: fun(X0,fun(X1,X2))] : ( aa(X0,X2,combc(X0,X1,X2,X67,X69),X68) = aa(X1,X2,aa(X0,fun(X1,X2),X67,X68),X69) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f317,plain,
! [X0: $tType,X2: X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X2),X2)),
inference(equality_resolution,[],[f282]) ).
tff(f282,plain,
! [X0: $tType,X2: X0,X1: X0] :
( pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X2),X1))
| ( X1 != X2 ) ),
inference(cnf_transformation,[],[f153]) ).
tff(f153,plain,
! [X0: $tType,X1: X0,X2: X0] :
( pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X2),X1))
| ( X1 != X2 ) ),
inference(rectify,[],[f122]) ).
tff(f122,axiom,
! [X0: $tType,X70: X0,X71: X0] :
( pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X71),X70))
| ( X70 != X71 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f432,plain,
! [X0: state] :
( ~ pp(aa(state,bool,combc(state,state,bool,fequal(state),X0),sK1))
| ~ p(sK0,X0) ),
inference(superposition,[],[f427,f279]) ).
tff(f279,plain,
! [X1: $tType,X0: $tType,X2: X0,X3: X1] : ( aa(X0,X1,combk(X1,X0,X3),X2) = X3 ),
inference(cnf_transformation,[],[f150]) ).
tff(f150,plain,
! [X0: $tType,X1: $tType,X2: X0,X3: X1] : ( aa(X0,X1,combk(X1,X0,X3),X2) = X3 ),
inference(rectify,[],[f111]) ).
tff(f111,axiom,
! [X1: $tType,X0: $tType,X69: X1,X67: X0] : ( aa(X1,X0,combk(X0,X1,X67),X69) = X67 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f427,plain,
! [X0: state,X1: a] :
( ~ pp(aa(state,bool,aa(a,fun(state,bool),combk(fun(state,bool),a,combc(state,state,bool,fequal(state),X0)),X1),sK1))
| ~ p(sK0,X0) ),
inference(duplicate_literal_removal,[],[f426]) ).
tff(f426,plain,
! [X0: state,X1: a] :
( ~ pp(aa(state,bool,aa(a,fun(state,bool),combk(fun(state,bool),a,combc(state,state,bool,fequal(state),X0)),X1),sK1))
| ~ p(sK0,X0)
| ~ p(sK0,X0) ),
inference(resolution,[],[f340,f319]) ).
tff(f319,plain,
! [X0: a,X1: state] :
( ~ pp(aa(state,bool,q(sK0),sK2(combk(fun(state,bool),a,combc(state,state,bool,fequal(state),X1)),combk(fun(state,bool),a,q(X0)))))
| ~ p(X0,X1) ),
inference(resolution,[],[f243,f242]) ).
tff(f242,plain,
! [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool))] :
( ~ 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,X2,c,X3)),bot_bot(fun(hoare_28830079triple(a),bool))))
| ~ pp(aa(state,bool,q(sK0),sK2(X2,X3))) ),
inference(cnf_transformation,[],[f195]) ).
tff(f243,plain,
! [X0: a,X1: state] :
( 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,combc(state,state,bool,fequal(state),X1)),c,combk(fun(state,bool),a,q(X0)))),bot_bot(fun(hoare_28830079triple(a),bool))))
| ~ p(X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
tff(f167,plain,
! [X0: a,X1: state] :
( 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,combc(state,state,bool,fequal(state),X1)),c,combk(fun(state,bool),a,q(X0)))),bot_bot(fun(hoare_28830079triple(a),bool))))
| ~ p(X0,X1) ),
inference(ennf_transformation,[],[f130]) ).
tff(f130,plain,
! [X0: a,X1: state] :
( p(X0,X1)
=> 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,combc(state,state,bool,fequal(state),X1)),c,combk(fun(state,bool),a,q(X0)))),bot_bot(fun(hoare_28830079triple(a),bool)))) ),
inference(rectify,[],[f126]) ).
tff(f126,axiom,
! [X72: a,X73: state] :
( p(X72,X73)
=> 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,combc(state,state,bool,fequal(state),X73)),c,combk(fun(state,bool),a,q(X72)))),bot_bot(fun(hoare_28830079triple(a),bool)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f340,plain,
! [X2: state,X0: a,X1: a] :
( pp(aa(state,bool,q(X0),sK2(combk(fun(state,bool),a,combc(state,state,bool,fequal(state),X2)),combk(fun(state,bool),a,q(X0)))))
| ~ pp(aa(state,bool,aa(a,fun(state,bool),combk(fun(state,bool),a,combc(state,state,bool,fequal(state),X2)),X1),sK1))
| ~ p(X0,X2) ),
inference(superposition,[],[f318,f279]) ).
tff(f318,plain,
! [X2: a,X0: a,X1: state] :
( pp(aa(state,bool,aa(a,fun(state,bool),combk(fun(state,bool),a,q(X0)),X2),sK2(combk(fun(state,bool),a,combc(state,state,bool,fequal(state),X1)),combk(fun(state,bool),a,q(X0)))))
| ~ pp(aa(state,bool,aa(a,fun(state,bool),combk(fun(state,bool),a,combc(state,state,bool,fequal(state),X1)),X2),sK1))
| ~ p(X0,X1) ),
inference(resolution,[],[f243,f241]) ).
tff(f241,plain,
! [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool)),X5: a] :
( ~ 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,X2,c,X3)),bot_bot(fun(hoare_28830079triple(a),bool))))
| ~ pp(aa(state,bool,aa(a,fun(state,bool),X2,X5),sK1))
| pp(aa(state,bool,aa(a,fun(state,bool),X3,X5),sK2(X2,X3))) ),
inference(cnf_transformation,[],[f195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW510_5 : TPTP v8.2.0. Released v6.0.0.
% 0.08/0.13 % Command : run_vampire %s %d THM
% 0.14/0.37 % Computer : n011.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Wed Jun 19 05:56:24 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.38 This is a TF1_THM_EQU_NAR problem
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.46 % (9935)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (9937)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.25/0.46 % (9935)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (9936)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)
% 0.25/0.46 % (9935)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (9942)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)
% 0.25/0.46 % (9935)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (9941)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)
% 0.25/0.46 % (9935)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (9940)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.25/0.46 % (9935)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (9938)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)
% 0.25/0.46 % (9935)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (9939)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)
% 0.25/0.48 % (9941)First to succeed.
% 0.25/0.48 % (9942)Also succeeded, but the first one will report.
% 0.25/0.48 % (9941)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9935"
% 0.25/0.48 % (9935)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.48 % (9941)Refutation found. Thanks to Tanya!
% 0.25/0.48 % SZS status Theorem for theBenchmark
% 0.25/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.48 % (9941)------------------------------
% 0.25/0.48 % (9941)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.48 % (9941)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.48 % (9941)Termination reason: Refutation
% 0.25/0.48
% 0.25/0.48 % (9941)Memory used [KB]: 1436
% 0.25/0.48 % (9941)Time elapsed: 0.019 s
% 0.25/0.48 % (9941)Instructions burned: 29 (million)
% 0.25/0.48 % (9941)------------------------------
% 0.25/0.48 % (9941)------------------------------
% 0.25/0.48 % (9935)Success in time 0.077 s
%------------------------------------------------------------------------------