TSTP Solution File: SWW520_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW520_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 : Tue Apr 30 17:35:27 EDT 2024
% Result : Theorem 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 70
% Syntax : Number of formulae : 78 ( 5 unt; 66 typ; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 43 ( 18 ~; 7 |; 13 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 80 ( 50 >; 30 *; 0 +; 0 <<)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-6 aty)
% Number of functors : 49 ( 49 usr; 5 con; 0-4 aty)
% Number of variables : 93 ( 16 !; 9 ?; 93 :)
% ( 68 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
a: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
hoare_28830079triple: $tType > $tType ).
tff(type_def_8,type,
nat: $tType ).
tff(type_def_9,type,
pred: $tType > $tType ).
tff(type_def_10,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_1,type,
complete_Sup_Sup:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_2,type,
suc: nat > nat ).
tff(func_def_3,type,
semiri532925092at_aux:
!>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).
tff(func_def_4,type,
bot_bot:
!>[X0: $tType] : X0 ).
tff(func_def_5,type,
powp:
!>[X0: $tType] : ( fun(X0,bool) > fun(fun(X0,bool),bool) ) ).
tff(func_def_6,type,
pred1:
!>[X0: $tType] : ( fun(X0,bool) > pred(X0) ) ).
tff(func_def_7,type,
pred_case:
!>[X0: $tType,X1: $tType] : ( ( fun(fun(X0,bool),X1) * pred(X0) ) > X1 ) ).
tff(func_def_8,type,
pred_rec:
!>[X0: $tType,X1: $tType] : ( ( fun(fun(X0,bool),X1) * pred(X0) ) > X1 ) ).
tff(func_def_9,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_10,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_11,type,
fFalse: bool ).
tff(func_def_12,type,
fTrue: bool ).
tff(func_def_13,type,
ga: fun(hoare_28830079triple(a),bool) ).
tff(func_def_14,type,
sK1: nat ).
tff(func_def_15,type,
sK2: hoare_28830079triple(a) ).
tff(func_def_16,type,
sK3:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).
tff(func_def_17,type,
sK4:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).
tff(func_def_18,type,
sK5:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).
tff(func_def_19,type,
sK6:
!>[X0: $tType] : ( fun(nat,X0) > nat ) ).
tff(func_def_20,type,
sK7:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_21,type,
sK8:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_22,type,
sK9: nat > nat ).
tff(func_def_23,type,
sK10:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_24,type,
sK11:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_25,type,
sK12:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_26,type,
sK13:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_27,type,
sK14:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_28,type,
sK15:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_29,type,
sK16:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_30,type,
sK17:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_31,type,
sK18:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_32,type,
sK19:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_33,type,
sK20:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_34,type,
sK21:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_35,type,
sK22:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_36,type,
sK23:
!>[X0: $tType] : ( pred(X0) > fun(X0,bool) ) ).
tff(func_def_37,type,
sK24:
!>[X0: $tType] : ( ( fun(fun(X0,bool),bool) * X0 ) > fun(X0,bool) ) ).
tff(func_def_38,type,
sK25:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_39,type,
sK26:
!>[X0: $tType] : ( ( nat * fun(hoare_28830079triple(X0),bool) ) > hoare_28830079triple(X0) ) ).
tff(func_def_40,type,
sK27:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_41,type,
sK28:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_42,type,
sK29:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(fun(X0,bool),bool) ) > fun(X0,bool) ) ).
tff(func_def_43,type,
sK30:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_44,type,
sK31:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_45,type,
sK32:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(pred_def_1,type,
bot:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
comple187826305attice:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
hoare_592965047valids:
!>[X0: $tType] : ( ( fun(hoare_28830079triple(X0),bool) * fun(hoare_28830079triple(X0),bool) ) > $o ) ).
tff(pred_def_9,type,
hoare_1633586161_valid:
!>[X0: $tType] : ( ( nat * hoare_28830079triple(X0) ) > $o ) ).
tff(pred_def_10,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_11,type,
inv_imagep:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X1,X0) * X1 * X1 ) > $o ) ).
tff(pred_def_12,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_13,type,
pp: bool > $o ).
tff(pred_def_14,type,
sP0:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > $o ) ).
tff(f630,plain,
$false,
inference(resolution,[],[f487,f426]) ).
tff(f426,plain,
member(hoare_28830079triple(a),sK2,bot_bot(fun(hoare_28830079triple(a),bool))),
inference(cnf_transformation,[],[f341]) ).
tff(f341,plain,
( ~ hoare_1633586161_valid(a,sK1,sK2)
& member(hoare_28830079triple(a),sK2,bot_bot(fun(hoare_28830079triple(a),bool)))
& ! [X2: hoare_28830079triple(a)] :
( hoare_1633586161_valid(a,sK1,X2)
| ~ member(hoare_28830079triple(a),X2,ga) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f239,f340,f339]) ).
tff(f339,plain,
( ? [X0: nat] :
( ? [X1: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,X0,X1)
& member(hoare_28830079triple(a),X1,bot_bot(fun(hoare_28830079triple(a),bool))) )
& ! [X2: hoare_28830079triple(a)] :
( hoare_1633586161_valid(a,X0,X2)
| ~ member(hoare_28830079triple(a),X2,ga) ) )
=> ( ? [X1: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,sK1,X1)
& member(hoare_28830079triple(a),X1,bot_bot(fun(hoare_28830079triple(a),bool))) )
& ! [X2: hoare_28830079triple(a)] :
( hoare_1633586161_valid(a,sK1,X2)
| ~ member(hoare_28830079triple(a),X2,ga) ) ) ),
introduced(choice_axiom,[]) ).
tff(f340,plain,
( ? [X1: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,sK1,X1)
& member(hoare_28830079triple(a),X1,bot_bot(fun(hoare_28830079triple(a),bool))) )
=> ( ~ hoare_1633586161_valid(a,sK1,sK2)
& member(hoare_28830079triple(a),sK2,bot_bot(fun(hoare_28830079triple(a),bool))) ) ),
introduced(choice_axiom,[]) ).
tff(f239,plain,
? [X0: nat] :
( ? [X1: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,X0,X1)
& member(hoare_28830079triple(a),X1,bot_bot(fun(hoare_28830079triple(a),bool))) )
& ! [X2: hoare_28830079triple(a)] :
( hoare_1633586161_valid(a,X0,X2)
| ~ member(hoare_28830079triple(a),X2,ga) ) ),
inference(ennf_transformation,[],[f128]) ).
tff(f128,plain,
~ ! [X0: nat] :
( ! [X1: hoare_28830079triple(a)] :
( member(hoare_28830079triple(a),X1,bot_bot(fun(hoare_28830079triple(a),bool)))
=> hoare_1633586161_valid(a,X0,X1) )
| ? [X2: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,X0,X2)
& member(hoare_28830079triple(a),X2,ga) ) ),
inference(rectify,[],[f127]) ).
tff(f127,negated_conjecture,
~ ! [X51: nat] :
( ! [X19: hoare_28830079triple(a)] :
( member(hoare_28830079triple(a),X19,bot_bot(fun(hoare_28830079triple(a),bool)))
=> hoare_1633586161_valid(a,X51,X19) )
| ? [X4: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,X51,X4)
& member(hoare_28830079triple(a),X4,ga) ) ),
inference(negated_conjecture,[],[f126]) ).
tff(f126,conjecture,
! [X51: nat] :
( ! [X19: hoare_28830079triple(a)] :
( member(hoare_28830079triple(a),X19,bot_bot(fun(hoare_28830079triple(a),bool)))
=> hoare_1633586161_valid(a,X51,X19) )
| ? [X4: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,X51,X4)
& member(hoare_28830079triple(a),X4,ga) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f487,plain,
! [X0: $tType,X1: X0] : ~ member(X0,X1,bot_bot(fun(X0,bool))),
inference(cnf_transformation,[],[f165]) ).
tff(f165,plain,
! [X0: $tType,X1: X0] : ~ member(X0,X1,bot_bot(fun(X0,bool))),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: $tType,X7: X1] : ~ member(X1,X7,bot_bot(fun(X1,bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_empty__iff) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW520_5 : TPTP v8.1.2. Released v6.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 03:06:05 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (21372)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (21374)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 % (21375)WARNING: value z3 for option sas not known
% 0.20/0.38 % Exception at run slice level
% 0.20/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.38 % (21373)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38 % (21375)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.38 % (21378)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.38 % (21376)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.38 % (21377)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.38 % (21379)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.38 % (21379)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.38 % Exception at run slice level
% 0.20/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.38 % Exception at run slice level
% 0.20/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.39 % (21378)First to succeed.
% 0.20/0.39 % (21377)Also succeeded, but the first one will report.
% 0.20/0.39 % (21378)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Theorem for theBenchmark
% 0.20/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39 % (21378)------------------------------
% 0.20/0.39 % (21378)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.39 % (21378)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (21378)Memory used [KB]: 1136
% 0.20/0.39 % (21378)Time elapsed: 0.011 s
% 0.20/0.39 % (21378)Instructions burned: 16 (million)
% 0.20/0.39 % (21378)------------------------------
% 0.20/0.39 % (21378)------------------------------
% 0.20/0.39 % (21372)Success in time 0.03 s
%------------------------------------------------------------------------------