TSTP Solution File: LCL777_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL777_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 May 21 00:34:11 EDT 2024
% Result : Theorem 0.24s 0.45s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 88
% Syntax : Number of formulae : 100 ( 16 unt; 84 typ; 0 def)
% Number of atoms : 16 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 148 ( 69 >; 79 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-6 aty)
% Number of functors : 66 ( 66 usr; 9 con; 0-5 aty)
% Number of variables : 69 ( 18 !; 0 ?; 69 :)
% ( 51 !>; 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,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_1,type,
it: fun(dB,bool) ).
tff(func_def_2,type,
beta: fun(dB,fun(dB,bool)) ).
tff(func_def_3,type,
abs: dB > dB ).
tff(func_def_4,type,
app: fun(dB,fun(dB,dB)) ).
tff(func_def_5,type,
var: nat > dB ).
tff(func_def_6,type,
dB_size: dB > nat ).
tff(func_def_7,type,
subst: ( dB * dB * nat ) > dB ).
tff(func_def_8,type,
append:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_9,type,
foldl:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).
tff(func_def_10,type,
insert:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_11,type,
cons:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_12,type,
nil:
!>[X0: $tType] : list(X0) ).
tff(func_def_13,type,
list_case:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) * list(X1) ) > X0 ) ).
tff(func_def_14,type,
maps:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,list(X1)) * list(X0) ) > list(X1) ) ).
tff(func_def_15,type,
rotate1:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_16,type,
splice:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_17,type,
sublist:
!>[X0: $tType] : ( ( list(X0) * fun(nat,bool) ) > list(X0) ) ).
tff(func_def_18,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
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,
i: nat ).
tff(func_def_23,type,
r: dB ).
tff(func_def_24,type,
s: dB ).
tff(func_def_25,type,
ss: list(dB) ).
tff(func_def_26,type,
sK10: dB > dB ).
tff(func_def_27,type,
sK11: dB > list(dB) ).
tff(func_def_28,type,
sK12: dB > nat ).
tff(func_def_29,type,
sK13: dB > dB ).
tff(func_def_30,type,
sK14: dB > dB ).
tff(func_def_31,type,
sK15: dB > list(dB) ).
tff(func_def_32,type,
sK16:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_33,type,
sK17:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_34,type,
sK18:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_35,type,
sK19:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_36,type,
sK20:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_37,type,
sK21:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_38,type,
sK22: ( dB * dB ) > dB ).
tff(func_def_39,type,
sK23:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_40,type,
sK24:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_41,type,
sK25:
!>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).
tff(func_def_42,type,
sK26:
!>[X0: $tType] : ( fun(list(X0),bool) > list(X0) ) ).
tff(func_def_43,type,
sK27: ( dB * list(dB) * dB ) > dB ).
tff(func_def_44,type,
sK28: ( dB * list(dB) * dB ) > dB ).
tff(func_def_45,type,
sK29: ( dB * list(dB) * dB ) > list(dB) ).
tff(func_def_46,type,
sK30: ( dB * list(dB) * dB ) > list(dB) ).
tff(func_def_47,type,
sK31: ( dB * list(dB) * dB ) > dB ).
tff(func_def_48,type,
sK32: ( dB * list(dB) * nat ) > list(dB) ).
tff(func_def_49,type,
sK33: ( dB * dB * dB ) > dB ).
tff(func_def_50,type,
sK34: ( dB * dB * dB ) > dB ).
tff(func_def_51,type,
sK35: ( dB * dB * dB ) > dB ).
tff(func_def_52,type,
sK36:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).
tff(func_def_53,type,
sK37:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > list(X0) ) ).
tff(func_def_54,type,
sK38:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_55,type,
sK39: ( dB * dB * list(dB) * dB ) > list(dB) ).
tff(func_def_56,type,
sK40:
!>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * fun(X0,fun(X0,bool)) ) > list(X0) ) ).
tff(func_def_57,type,
sK41:
!>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * fun(X0,fun(X0,bool)) ) > X0 ) ).
tff(func_def_58,type,
sK42:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > list(X0) ) ).
tff(func_def_59,type,
sK43:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > list(X0) ) ).
tff(func_def_60,type,
sK44:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_61,type,
sK45:
!>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X1 ) ).
tff(func_def_62,type,
sK46:
!>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X1 ) ).
tff(func_def_63,type,
sK47:
!>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X0 ) ).
tff(pred_def_1,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
step1:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > $o ) ).
tff(pred_def_3,type,
listsp:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_4,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_5,type,
pp: bool > $o ).
tff(pred_def_6,type,
sP0: dB > $o ).
tff(pred_def_7,type,
sP1: dB > $o ).
tff(pred_def_8,type,
sP2: ( dB * list(dB) * dB ) > $o ).
tff(pred_def_9,type,
sP3: ( dB * dB * dB ) > $o ).
tff(pred_def_10,type,
sP4:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_11,type,
sP5: ( dB * dB * list(dB) * dB ) > $o ).
tff(pred_def_12,type,
sP6:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > $o ) ).
tff(pred_def_13,type,
sP7:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > $o ) ).
tff(pred_def_14,type,
sP8:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > $o ) ).
tff(pred_def_15,type,
sP9:
!>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,bool)) * X0 * X0 ) > $o ) ).
tff(f675,plain,
$false,
inference(subsumption_resolution,[],[f674,f670]) ).
tff(f670,plain,
~ pp(aa(dB,bool,it,foldl(dB,dB,app,subst(r,s,zero_zero(nat)),append(dB,ss,insert(dB,var(i),nil(dB)))))),
inference(backward_demodulation,[],[f384,f420]) ).
tff(f420,plain,
! [X0: $tType,X1: X0] : ( insert(X0,X1,nil(X0)) = cons(X0,X1,nil(X0)) ),
inference(cnf_transformation,[],[f125]) ).
tff(f125,plain,
! [X0: $tType,X1: X0] : ( insert(X0,X1,nil(X0)) = cons(X0,X1,nil(X0)) ),
inference(rectify,[],[f46]) ).
tff(f46,axiom,
! [X0: $tType,X40: X0] : ( insert(X0,X40,nil(X0)) = cons(X0,X40,nil(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_insert__Nil) ).
tff(f384,plain,
~ pp(aa(dB,bool,it,foldl(dB,dB,app,subst(r,s,zero_zero(nat)),append(dB,ss,cons(dB,var(i),nil(dB)))))),
inference(cnf_transformation,[],[f109]) ).
tff(f109,plain,
~ pp(aa(dB,bool,it,foldl(dB,dB,app,subst(r,s,zero_zero(nat)),append(dB,ss,cons(dB,var(i),nil(dB)))))),
inference(flattening,[],[f108]) ).
tff(f108,negated_conjecture,
~ pp(aa(dB,bool,it,foldl(dB,dB,app,subst(r,s,zero_zero(nat)),append(dB,ss,cons(dB,var(i),nil(dB)))))),
inference(negated_conjecture,[],[f107]) ).
tff(f107,conjecture,
pp(aa(dB,bool,it,foldl(dB,dB,app,subst(r,s,zero_zero(nat)),append(dB,ss,cons(dB,var(i),nil(dB)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
tff(f674,plain,
pp(aa(dB,bool,it,foldl(dB,dB,app,subst(r,s,zero_zero(nat)),append(dB,ss,insert(dB,var(i),nil(dB)))))),
inference(backward_demodulation,[],[f388,f673]) ).
tff(f673,plain,
! [X2: dB,X0: dB,X1: list(dB)] : ( aa(dB,dB,aa(dB,fun(dB,dB),app,foldl(dB,dB,app,X2,X1)),X0) = foldl(dB,dB,app,X2,append(dB,X1,insert(dB,X0,nil(dB)))) ),
inference(forward_demodulation,[],[f450,f420]) ).
tff(f450,plain,
! [X2: dB,X0: dB,X1: list(dB)] : ( aa(dB,dB,aa(dB,fun(dB,dB),app,foldl(dB,dB,app,X2,X1)),X0) = foldl(dB,dB,app,X2,append(dB,X1,cons(dB,X0,nil(dB)))) ),
inference(cnf_transformation,[],[f150]) ).
tff(f150,plain,
! [X0: dB,X1: list(dB),X2: dB] : ( aa(dB,dB,aa(dB,fun(dB,dB),app,foldl(dB,dB,app,X2,X1)),X0) = foldl(dB,dB,app,X2,append(dB,X1,cons(dB,X0,nil(dB)))) ),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X20: dB,X16: list(dB),X17: dB] : ( aa(dB,dB,aa(dB,fun(dB,dB),app,foldl(dB,dB,app,X17,X16)),X20) = foldl(dB,dB,app,X17,append(dB,X16,cons(dB,X20,nil(dB)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_app__last) ).
tff(f388,plain,
pp(aa(dB,bool,it,aa(dB,dB,aa(dB,fun(dB,dB),app,foldl(dB,dB,app,subst(r,s,zero_zero(nat)),ss)),var(i)))),
inference(cnf_transformation,[],[f104]) ).
tff(f104,axiom,
pp(aa(dB,bool,it,aa(dB,dB,aa(dB,fun(dB,dB),app,foldl(dB,dB,app,subst(r,s,zero_zero(nat)),ss)),var(i)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LCL777_5 : TPTP v8.2.0. Released v6.0.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.39 % Computer : n003.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8042.1875MB
% 0.15/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Mon May 20 03:00:23 EDT 2024
% 0.15/0.39 % CPUTime :
% 0.15/0.39 % (834)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.42 % (837)WARNING: value z3 for option sas not known
% 0.15/0.42 % (838)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.42 % (835)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.42 % (836)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.42 % (839)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)
% 0.15/0.42 % (841)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)
% 0.15/0.42 % (840)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)
% 0.15/0.42 % (837)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)
% 0.15/0.42 % (841)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.43 % Exception at run slice level% Exception at run slice level
% 0.15/0.43 % Exception at run slice levelUser error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.43
% 0.15/0.43 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.43
% 0.15/0.43 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.44 % (842)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.15/0.44 % (843)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)
% 0.15/0.44 % (844)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)
% 0.24/0.45 % (842)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.24/0.45 % (843)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.24/0.45 % Exception at run slice level
% 0.24/0.45 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.24/0.45 % (844)First to succeed.
% 0.24/0.45 % (844)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-834"
% 0.24/0.45 % (844)Refutation found. Thanks to Tanya!
% 0.24/0.45 % SZS status Theorem for theBenchmark
% 0.24/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.45 % (844)------------------------------
% 0.24/0.45 % (844)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.24/0.45 % (844)Termination reason: Refutation
% 0.24/0.45
% 0.24/0.45 % (844)Memory used [KB]: 1177
% 0.24/0.45 % (844)Time elapsed: 0.012 s
% 0.24/0.45 % (844)Instructions burned: 20 (million)
% 0.24/0.45 % (834)Success in time 0.06 s
%------------------------------------------------------------------------------