TSTP Solution File: LCL800_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL800_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 : n020.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 13:49:29 EDT 2024
% Result : Theorem 0.22s 0.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 66
% Syntax : Number of formulae : 88 ( 29 unt; 59 typ; 0 def)
% Number of atoms : 29 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 69 ( 38 >; 31 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 41 ( 41 usr; 10 con; 0-5 aty)
% Number of variables : 70 ( 39 !; 0 ?; 70 :)
% ( 31 !>; 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,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_1,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_2,type,
app: ( dB * dB ) > dB ).
tff(func_def_3,type,
var: nat > dB ).
tff(func_def_4,type,
dB_case:
!>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,X0)) * fun(dB,X0) * dB ) > X0 ) ).
tff(func_def_5,type,
dB_rec:
!>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,fun(X0,fun(X0,X0)))) * fun(dB,fun(X0,X0)) * dB ) > X0 ) ).
tff(func_def_6,type,
dB_size: dB > nat ).
tff(func_def_7,type,
lift: ( dB * nat ) > dB ).
tff(func_def_8,type,
liftn: ( nat * dB * nat ) > dB ).
tff(func_def_9,type,
subst: ( dB * dB * nat ) > dB ).
tff(func_def_10,type,
substn: ( dB * dB * nat ) > dB ).
tff(func_def_11,type,
insert:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_12,type,
cons:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_13,type,
nil:
!>[X0: $tType] : list(X0) ).
tff(func_def_14,type,
list_case:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) * list(X1) ) > X0 ) ).
tff(func_def_15,type,
list_rec:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),fun(X0,X0))) * list(X1) ) > 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,
suc: nat > nat ).
tff(func_def_19,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_20,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_21,type,
fFalse: bool ).
tff(func_def_22,type,
fTrue: bool ).
tff(func_def_23,type,
a: dB ).
tff(func_def_24,type,
as: list(dB) ).
tff(func_def_25,type,
i: nat ).
tff(func_def_26,type,
n: nat ).
tff(func_def_27,type,
rs: list(dB) ).
tff(func_def_28,type,
t: dB ).
tff(func_def_29,type,
u: dB ).
tff(func_def_30,type,
ua: dB ).
tff(func_def_31,type,
sK2: nat > nat ).
tff(func_def_32,type,
sK3: nat > nat ).
tff(func_def_33,type,
sK4:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_34,type,
sK5:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_35,type,
sK6: fun(nat,bool) > nat ).
tff(func_def_36,type,
sK7: fun(nat,bool) > nat ).
tff(func_def_37,type,
sK8:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_38,type,
sK9:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(pred_def_1,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
comm_monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
equal_equal:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_8,type,
it: dB > $o ).
tff(pred_def_9,type,
listMem:
!>[X0: $tType] : ( ( X0 * list(X0) ) > $o ) ).
tff(pred_def_10,type,
member1:
!>[X0: $tType] : ( ( list(X0) * X0 ) > $o ) ).
tff(pred_def_11,type,
null:
!>[X0: $tType] : ( list(X0) > $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: ( nat * nat ) > $o ).
tff(pred_def_15,type,
sP1: ( nat * nat ) > $o ).
tff(f2041,plain,
$false,
inference(subsumption_resolution,[],[f2040,f438]) ).
tff(f438,plain,
~ it(app(u,subst(a,u,n))),
inference(backward_demodulation,[],[f268,f279]) ).
tff(f279,plain,
n = i,
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
n = i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_True) ).
tff(f268,plain,
~ it(app(u,subst(a,u,i))),
inference(cnf_transformation,[],[f108]) ).
tff(f108,plain,
~ it(app(u,subst(a,u,i))),
inference(flattening,[],[f107]) ).
tff(f107,negated_conjecture,
~ it(app(u,subst(a,u,i))),
inference(negated_conjecture,[],[f106]) ).
tff(f106,conjecture,
it(app(u,subst(a,u,i))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f2040,plain,
it(app(u,subst(a,u,n))),
inference(forward_demodulation,[],[f2039,f507]) ).
tff(f507,plain,
! [X0: dB] : ( substn(var(zero_zero(nat)),X0,zero_zero(nat)) = X0 ),
inference(superposition,[],[f317,f311]) ).
tff(f311,plain,
! [X0: dB,X1: nat] : ( subst(var(X1),X0,X1) = X0 ),
inference(cnf_transformation,[],[f136]) ).
tff(f136,plain,
! [X0: dB,X1: nat] : ( subst(var(X1),X0,X1) = X0 ),
inference(rectify,[],[f15]) ).
tff(f15,axiom,
! [X7: dB,X5: nat] : ( subst(var(X5),X7,X5) = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_subst__eq) ).
tff(f317,plain,
! [X0: dB,X1: dB] : ( substn(X1,X0,zero_zero(nat)) = subst(X1,X0,zero_zero(nat)) ),
inference(cnf_transformation,[],[f142]) ).
tff(f142,plain,
! [X0: dB,X1: dB] : ( substn(X1,X0,zero_zero(nat)) = subst(X1,X0,zero_zero(nat)) ),
inference(rectify,[],[f22]) ).
tff(f22,axiom,
! [X6: dB,X4: dB] : ( substn(X4,X6,zero_zero(nat)) = subst(X4,X6,zero_zero(nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_substn__subst__0) ).
tff(f2039,plain,
it(app(u,substn(var(zero_zero(nat)),subst(a,u,n),zero_zero(nat)))),
inference(backward_demodulation,[],[f440,f2022]) ).
tff(f2022,plain,
! [X2: dB,X0: dB,X1: dB] : ( substn(app(lift(X0,zero_zero(nat)),X2),X1,zero_zero(nat)) = app(X0,substn(X2,X1,zero_zero(nat))) ),
inference(superposition,[],[f391,f508]) ).
tff(f508,plain,
! [X0: dB,X1: dB] : ( substn(lift(X0,zero_zero(nat)),X1,zero_zero(nat)) = X0 ),
inference(superposition,[],[f317,f371]) ).
tff(f371,plain,
! [X2: dB,X0: dB,X1: nat] : ( subst(lift(X2,X1),X0,X1) = X2 ),
inference(cnf_transformation,[],[f172]) ).
tff(f172,plain,
! [X0: dB,X1: nat,X2: dB] : ( subst(lift(X2,X1),X0,X1) = X2 ),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X6: dB,X5: nat,X4: dB] : ( subst(lift(X4,X5),X6,X5) = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_subst__lift) ).
tff(f391,plain,
! [X2: dB,X3: dB,X0: nat,X1: dB] : ( substn(app(X3,X2),X1,X0) = app(substn(X3,X1,X0),substn(X2,X1,X0)) ),
inference(cnf_transformation,[],[f187]) ).
tff(f187,plain,
! [X0: nat,X1: dB,X2: dB,X3: dB] : ( substn(app(X3,X2),X1,X0) = app(substn(X3,X1,X0),substn(X2,X1,X0)) ),
inference(rectify,[],[f25]) ).
tff(f25,axiom,
! [X5: nat,X6: dB,X7: dB,X4: dB] : ( substn(app(X4,X7),X6,X5) = app(substn(X4,X6,X5),substn(X7,X6,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_substn_Osimps_I2_J) ).
tff(f440,plain,
it(substn(app(lift(u,zero_zero(nat)),var(zero_zero(nat))),subst(a,u,n),zero_zero(nat))),
inference(backward_demodulation,[],[f439,f317]) ).
tff(f439,plain,
it(subst(app(lift(u,zero_zero(nat)),var(zero_zero(nat))),subst(a,u,n),zero_zero(nat))),
inference(forward_demodulation,[],[f281,f279]) ).
tff(f281,plain,
it(subst(app(lift(u,zero_zero(nat)),var(zero_zero(nat))),subst(a,u,i),zero_zero(nat))),
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
it(subst(app(lift(u,zero_zero(nat)),var(zero_zero(nat))),subst(a,u,i),zero_zero(nat))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4__096IT_A_I_Ilift_Au_A0_A_092_060degree_062_AVar_A0_J_091a_091u_Pi_093_P0_093_J_096) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL800_5 : TPTP v8.1.2. Released v6.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n020.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon Apr 29 22:42:32 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (28935)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (28939)WARNING: value z3 for option sas not known
% 0.22/0.39 % (28937)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39 % (28938)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (28940)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39 % (28941)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)
% 0.22/0.39 % (28942)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)
% 0.22/0.39 % (28939)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)
% 0.22/0.39 % (28943)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)
% 0.22/0.39 % (28943)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.39 % Exception at run slice level
% 0.22/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.39 % Exception at run slice level
% 0.22/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.39 % Exception at run slice level
% 0.22/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.41 % (28954)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.22/0.41 % (28955)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)
% 0.22/0.41 % (28956)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)
% 0.22/0.41 % (28954)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.41 % (28955)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.41 % Exception at run slice level
% 0.22/0.41 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.43 % (28963)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.22/0.47 % (28956)First to succeed.
% 0.22/0.48 % (28956)Refutation found. Thanks to Tanya!
% 0.22/0.48 % SZS status Theorem for theBenchmark
% 0.22/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.48 % (28956)------------------------------
% 0.22/0.48 % (28956)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.48 % (28956)Termination reason: Refutation
% 0.22/0.48
% 0.22/0.48 % (28956)Memory used [KB]: 1460
% 0.22/0.48 % (28956)Time elapsed: 0.069 s
% 0.22/0.48 % (28956)Instructions burned: 130 (million)
% 0.22/0.48 % (28956)------------------------------
% 0.22/0.48 % (28956)------------------------------
% 0.22/0.48 % (28935)Success in time 0.108 s
%------------------------------------------------------------------------------