TSTP Solution File: LCL838_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL838_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 : n032.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 13:51:38 EDT 2024
% Result : Theorem 0.15s 0.34s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 81
% Syntax : Number of formulae : 99 ( 14 unt; 75 typ; 0 def)
% Number of atoms : 40 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 15 ~; 5 |; 4 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 96 ( 46 >; 50 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 2 prp; 0-3 aty)
% Number of functors : 62 ( 62 usr; 21 con; 0-5 aty)
% Number of variables : 78 ( 52 !; 2 ?; 78 :)
% ( 24 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
dB: $tType ).
tff(type_def_7,type,
list: $tType > $tType ).
tff(type_def_8,type,
nat: $tType ).
tff(type_def_9,type,
type: $tType ).
tff(type_def_10,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combb:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,X1),fun(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,
combi:
!>[X0: $tType] : fun(X0,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,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_5,type,
it: fun(dB,bool) ).
tff(func_def_6,type,
abs: dB > dB ).
tff(func_def_7,type,
app: fun(dB,fun(dB,dB)) ).
tff(func_def_8,type,
var: nat > dB ).
tff(func_def_9,type,
dB_size: dB > nat ).
tff(func_def_10,type,
lift: fun(dB,fun(nat,dB)) ).
tff(func_def_11,type,
liftn: ( nat * dB * nat ) > dB ).
tff(func_def_12,type,
subst: fun(dB,fun(dB,fun(nat,dB))) ).
tff(func_def_13,type,
foldl:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).
tff(func_def_14,type,
foldr:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) * X1 ) > X1 ) ).
tff(func_def_15,type,
map:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X1) ) ).
tff(func_def_16,type,
suc: nat > nat ).
tff(func_def_17,type,
shift:
!>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > fun(nat,X0) ) ).
tff(func_def_18,type,
fun1: fun(type,fun(type,type)) ).
tff(func_def_19,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_20,type,
fFalse: bool ).
tff(func_def_21,type,
fTrue: bool ).
tff(func_def_22,type,
fconj: fun(bool,fun(bool,bool)) ).
tff(func_def_23,type,
t1: type ).
tff(func_def_24,type,
t_a: type ).
tff(func_def_25,type,
t: type ).
tff(func_def_26,type,
a: dB ).
tff(func_def_27,type,
as: list(dB) ).
tff(func_def_28,type,
e: fun(nat,type) ).
tff(func_def_29,type,
ea: fun(nat,type) ).
tff(func_def_30,type,
i: nat ).
tff(func_def_31,type,
ia: nat ).
tff(func_def_32,type,
r: dB ).
tff(func_def_33,type,
t2: dB ).
tff(func_def_34,type,
u: dB ).
tff(func_def_35,type,
ua: dB ).
tff(func_def_36,type,
sK3: nat > nat ).
tff(func_def_37,type,
sK4: nat > nat ).
tff(func_def_38,type,
sK5: dB > dB ).
tff(func_def_39,type,
sK6: dB > list(dB) ).
tff(func_def_40,type,
sK7: dB > nat ).
tff(func_def_41,type,
sK8: dB > dB ).
tff(func_def_42,type,
sK9: dB > dB ).
tff(func_def_43,type,
sK10: dB > list(dB) ).
tff(func_def_44,type,
sK11: ( dB * dB ) > dB ).
tff(func_def_45,type,
sK12: fun(nat,bool) > nat ).
tff(func_def_46,type,
sK13: fun(nat,bool) > nat ).
tff(func_def_47,type,
sK14: ( dB * fun(nat,type) ) > type ).
tff(func_def_48,type,
sK15: ( dB * fun(nat,type) ) > type ).
tff(func_def_49,type,
sK16: ( type * dB * fun(nat,type) ) > type ).
tff(func_def_50,type,
sK17: ( type * dB * fun(nat,type) ) > type ).
tff(func_def_51,type,
sK18: ( dB * dB * dB ) > dB ).
tff(func_def_52,type,
sK19: ( dB * dB * dB ) > dB ).
tff(func_def_53,type,
sK20: ( dB * dB * dB ) > dB ).
tff(func_def_54,type,
sK21: ( type * list(dB) * dB * fun(nat,type) ) > list(type) ).
tff(func_def_55,type,
sK22: ( type * list(dB) * dB * fun(nat,type) ) > list(type) ).
tff(func_def_56,type,
sK23: ( type * list(dB) * nat * fun(nat,type) ) > list(type) ).
tff(func_def_57,type,
sK24: ( type * dB * dB * fun(nat,type) ) > type ).
tff(func_def_58,type,
sK25:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_59,type,
sK26: ( type * type * list(dB) * fun(nat,type) ) > list(type) ).
tff(pred_def_1,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
beta: ( dB * dB ) > $o ).
tff(pred_def_3,type,
listsp:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_4,type,
typing: ( fun(nat,type) * dB * type ) > $o ).
tff(pred_def_5,type,
typings: ( fun(nat,type) * list(dB) * list(type) ) > $o ).
tff(pred_def_6,type,
pp: bool > $o ).
tff(pred_def_8,type,
sP0: dB > $o ).
tff(pred_def_9,type,
sP1: dB > $o ).
tff(pred_def_10,type,
sP2: ( dB * dB * dB ) > $o ).
tff(f805,plain,
$false,
inference(resolution,[],[f804,f635]) ).
tff(f635,plain,
! [X0: list(dB),X1: type] : ~ typing(shift(type,e,i,t),foldl(dB,dB,app,aa(dB,dB,combc(dB,dB,dB,app,a),abs(r)),X0),X1),
inference(resolution,[],[f440,f609]) ).
tff(f609,plain,
! [X0: type] : ~ typing(shift(type,e,i,t),aa(dB,dB,combc(dB,dB,dB,app,a),abs(r)),X0),
inference(forward_demodulation,[],[f608,f473]) ).
tff(f473,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,[],[f197]) ).
tff(f197,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,[],[f103]) ).
tff(f103,axiom,
! [X0: $tType,X2: $tType,X1: $tType,X82: X0,X83: X1,X84: fun(X0,fun(X1,X2))] : ( aa(X0,X2,combc(X0,X1,X2,X84,X83),X82) = aa(X1,X2,aa(X0,fun(X1,X2),X84,X82),X83) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_U) ).
tff(f608,plain,
! [X0: type] : ~ typing(shift(type,e,i,t),aa(dB,dB,aa(dB,fun(dB,dB),app,abs(r)),a),X0),
inference(resolution,[],[f333,f332]) ).
tff(f332,plain,
~ thesis,
inference(cnf_transformation,[],[f112]) ).
tff(f112,plain,
~ thesis,
inference(flattening,[],[f111]) ).
tff(f111,negated_conjecture,
~ thesis,
inference(negated_conjecture,[],[f110]) ).
tff(f110,conjecture,
thesis,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(f333,plain,
! [X0: type] :
( thesis
| ~ typing(shift(type,e,i,t),aa(dB,dB,aa(dB,fun(dB,dB),app,abs(r)),a),X0) ),
inference(cnf_transformation,[],[f206]) ).
tff(f206,plain,
! [X0: type] :
( thesis
| ~ typing(shift(type,e,i,t),aa(dB,dB,aa(dB,fun(dB,dB),app,abs(r)),a),X0) ),
inference(ennf_transformation,[],[f113]) ).
tff(f113,plain,
! [X0: type] :
( typing(shift(type,e,i,t),aa(dB,dB,aa(dB,fun(dB,dB),app,abs(r)),a),X0)
=> thesis ),
inference(rectify,[],[f109]) ).
tff(f109,axiom,
! [X85: type] :
( typing(shift(type,e,i,t),aa(dB,dB,aa(dB,fun(dB,dB),app,abs(r)),a),X85)
=> thesis ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f440,plain,
! [X2: dB,X3: fun(nat,type),X0: type,X1: list(dB)] :
( typing(X3,X2,foldr(type,type,fun1,sK21(X0,X1,X2,X3),X0))
| ~ typing(X3,foldl(dB,dB,app,X2,X1),X0) ),
inference(cnf_transformation,[],[f311]) ).
tff(f311,plain,
! [X0: type,X1: list(dB),X2: dB,X3: fun(nat,type)] :
( ( typings(X3,X1,sK21(X0,X1,X2,X3))
& typing(X3,X2,foldr(type,type,fun1,sK21(X0,X1,X2,X3),X0)) )
| ~ typing(X3,foldl(dB,dB,app,X2,X1),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f240,f310]) ).
tff(f310,plain,
! [X0: type,X1: list(dB),X2: dB,X3: fun(nat,type)] :
( ? [X4: list(type)] :
( typings(X3,X1,X4)
& typing(X3,X2,foldr(type,type,fun1,X4,X0)) )
=> ( typings(X3,X1,sK21(X0,X1,X2,X3))
& typing(X3,X2,foldr(type,type,fun1,sK21(X0,X1,X2,X3),X0)) ) ),
introduced(choice_axiom,[]) ).
tff(f240,plain,
! [X0: type,X1: list(dB),X2: dB,X3: fun(nat,type)] :
( ? [X4: list(type)] :
( typings(X3,X1,X4)
& typing(X3,X2,foldr(type,type,fun1,X4,X0)) )
| ~ typing(X3,foldl(dB,dB,app,X2,X1),X0) ),
inference(ennf_transformation,[],[f178]) ).
tff(f178,plain,
! [X0: type,X1: list(dB),X2: dB,X3: fun(nat,type)] :
( typing(X3,foldl(dB,dB,app,X2,X1),X0)
=> ~ ! [X4: list(type)] :
( typing(X3,X2,foldr(type,type,fun1,X4,X0))
=> ~ typings(X3,X1,X4) ) ),
inference(rectify,[],[f76]) ).
tff(f76,axiom,
! [X16: type,X20: list(dB),X22: dB,X17: fun(nat,type)] :
( typing(X17,foldl(dB,dB,app,X22,X20),X16)
=> ~ ! [X69: list(type)] :
( typing(X17,X22,foldr(type,type,fun1,X69,X16))
=> ~ typings(X17,X20,X69) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_list__app__typeE) ).
tff(f804,plain,
typing(shift(type,e,i,t),foldl(dB,dB,app,aa(dB,dB,combc(dB,dB,dB,app,a),abs(r)),as),t1),
inference(superposition,[],[f344,f473]) ).
tff(f344,plain,
typing(shift(type,e,i,t),foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(r)),a),as),t1),
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
typing(shift(type,e,i,t),foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(r)),a),as),t1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_T) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : LCL838_5 : TPTP v8.1.2. Released v6.0.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Mon Apr 29 22:45:35 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.11/0.30 % (4652)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (4655)WARNING: value z3 for option sas not known
% 0.15/0.32 % (4653)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 % (4657)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)
% 0.15/0.32 % (4658)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)
% 0.15/0.32 % (4654)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % (4655)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)
% 0.15/0.32 % (4656)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % Exception at run slice level
% 0.15/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.32 % Exception at run slice level
% 0.15/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.32 % (4659)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)
% 0.15/0.32 % Exception at run slice level
% 0.15/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.32 % (4659)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.33 % (4660)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.15/0.33 % (4661)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.15/0.33 % (4662)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.15/0.33 % (4660)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.33 % Exception at run slice level
% 0.15/0.33 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.33 % (4661)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.34 % (4658)First to succeed.
% 0.15/0.34 % (4658)Refutation found. Thanks to Tanya!
% 0.15/0.34 % SZS status Theorem for theBenchmark
% 0.15/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.34 % (4658)------------------------------
% 0.15/0.34 % (4658)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.34 % (4658)Termination reason: Refutation
% 0.15/0.34
% 0.15/0.34 % (4658)Memory used [KB]: 1524
% 0.15/0.34 % (4658)Time elapsed: 0.025 s
% 0.15/0.34 % (4658)Instructions burned: 69 (million)
% 0.15/0.34 % (4658)------------------------------
% 0.15/0.34 % (4658)------------------------------
% 0.15/0.34 % (4652)Success in time 0.037 s
%------------------------------------------------------------------------------