TSTP Solution File: LCL748_5 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL748_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 13:49:05 EDT 2024
% Result : Theorem 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 54
% Syntax : Number of formulae : 75 ( 23 unt; 47 typ; 0 def)
% Number of atoms : 33 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 3 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 57 ( 26 >; 31 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 5 con; 0-5 aty)
% Number of variables : 50 ( 28 !; 0 ?; 50 :)
% ( 22 !>; 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,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_1,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_2,type,
zero_zero:
!>[X0: $tType] : X0 ).
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_case:
!>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,X0)) * fun(dB,X0) * dB ) > X0 ) ).
tff(func_def_7,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_8,type,
dB_size: dB > nat ).
tff(func_def_9,type,
lift: ( dB * nat ) > dB ).
tff(func_def_10,type,
liftn: ( nat * dB * nat ) > dB ).
tff(func_def_11,type,
subst: ( dB * dB * nat ) > dB ).
tff(func_def_12,type,
substn: ( dB * dB * 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,
suc: nat > nat ).
tff(func_def_15,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_16,type,
fFalse: bool ).
tff(func_def_17,type,
fTrue: bool ).
tff(func_def_18,type,
ia: nat ).
tff(func_def_19,type,
r: dB ).
tff(func_def_20,type,
sK3: ( dB * dB ) > dB ).
tff(func_def_21,type,
sK4: ( dB * dB * dB ) > dB ).
tff(func_def_22,type,
sK5: ( dB * dB * dB ) > dB ).
tff(func_def_23,type,
sK6: ( dB * dB * dB ) > dB ).
tff(func_def_24,type,
sK7:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(pred_def_1,type,
one:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
zero_neq_one:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
comm_semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
comm_monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
semiri456707255roduct:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
it: dB > $o ).
tff(pred_def_13,type,
beta: ( dB * dB ) > $o ).
tff(pred_def_14,type,
pp: bool > $o ).
tff(pred_def_15,type,
sP0: ( nat * nat ) > $o ).
tff(pred_def_16,type,
sP1: ( nat * nat ) > $o ).
tff(pred_def_17,type,
sP2: ( dB * dB * dB ) > $o ).
tff(f703,plain,
$false,
inference(resolution,[],[f701,f296]) ).
tff(f296,plain,
! [X0: nat] : it(lift(r,X0)),
inference(cnf_transformation,[],[f116]) ).
tff(f116,plain,
! [X0: nat] : it(lift(r,X0)),
inference(rectify,[],[f112]) ).
tff(f112,axiom,
! [X55: nat] : it(lift(r,X55)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(f701,plain,
~ it(lift(r,suc(ia))),
inference(resolution,[],[f619,f294]) ).
tff(f294,plain,
~ it(lift(abs(r),ia)),
inference(cnf_transformation,[],[f115]) ).
tff(f115,plain,
~ it(lift(abs(r),ia)),
inference(flattening,[],[f114]) ).
tff(f114,negated_conjecture,
~ it(lift(abs(r),ia)),
inference(negated_conjecture,[],[f113]) ).
tff(f113,conjecture,
it(lift(abs(r),ia)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
tff(f619,plain,
! [X0: dB,X1: nat] :
( it(lift(abs(X0),X1))
| ~ it(lift(X0,suc(X1))) ),
inference(superposition,[],[f350,f603]) ).
tff(f603,plain,
! [X0: nat,X1: dB] : ( lift(abs(X1),X0) = abs(lift(X1,suc(X0))) ),
inference(backward_demodulation,[],[f361,f599]) ).
tff(f599,plain,
! [X0: nat] : ( suc(X0) = plus_plus(nat,X0,one_one(nat)) ),
inference(forward_demodulation,[],[f588,f309]) ).
tff(f309,plain,
one_one(nat) = suc(zero_zero(nat)),
inference(cnf_transformation,[],[f81]) ).
tff(f81,axiom,
one_one(nat) = suc(zero_zero(nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_One__nat__def) ).
tff(f588,plain,
! [X0: nat] : ( suc(X0) = plus_plus(nat,X0,suc(zero_zero(nat))) ),
inference(superposition,[],[f357,f319]) ).
tff(f319,plain,
! [X0: nat] : ( plus_plus(nat,X0,zero_zero(nat)) = X0 ),
inference(cnf_transformation,[],[f126]) ).
tff(f126,plain,
! [X0: nat] : ( plus_plus(nat,X0,zero_zero(nat)) = X0 ),
inference(rectify,[],[f49]) ).
tff(f49,axiom,
! [X36: nat] : ( plus_plus(nat,X36,zero_zero(nat)) = X36 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_Nat_Oadd__0__right) ).
tff(f357,plain,
! [X0: nat,X1: nat] : ( suc(plus_plus(nat,X1,X0)) = plus_plus(nat,X1,suc(X0)) ),
inference(cnf_transformation,[],[f159]) ).
tff(f159,plain,
! [X0: nat,X1: nat] : ( suc(plus_plus(nat,X1,X0)) = plus_plus(nat,X1,suc(X0)) ),
inference(rectify,[],[f80]) ).
tff(f80,axiom,
! [X33: nat,X36: nat] : ( suc(plus_plus(nat,X36,X33)) = plus_plus(nat,X36,suc(X33)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_79_add__Suc__right) ).
tff(f361,plain,
! [X0: nat,X1: dB] : ( lift(abs(X1),X0) = abs(lift(X1,plus_plus(nat,X0,one_one(nat)))) ),
inference(cnf_transformation,[],[f163]) ).
tff(f163,plain,
! [X0: nat,X1: dB] : ( lift(abs(X1),X0) = abs(lift(X1,plus_plus(nat,X0,one_one(nat)))) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X9: nat,X10: dB] : ( lift(abs(X10),X9) = abs(lift(X10,plus_plus(nat,X9,one_one(nat)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_lift_Osimps_I3_J) ).
tff(f350,plain,
! [X0: dB] :
( it(abs(X0))
| ~ it(X0) ),
inference(cnf_transformation,[],[f237]) ).
tff(f237,plain,
! [X0: dB] :
( it(abs(X0))
| ~ it(X0) ),
inference(ennf_transformation,[],[f152]) ).
tff(f152,plain,
! [X0: dB] :
( it(X0)
=> it(abs(X0)) ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
! [X3: dB] :
( it(X3)
=> it(abs(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_Lambda) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL748_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
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Apr 29 22:39:47 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (17143)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (17146)WARNING: value z3 for option sas not known
% 0.15/0.39 % (17144)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (17145)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (17147)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (17146)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)
% 0.15/0.39 % (17148)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)
% 0.15/0.39 % (17149)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)
% 0.15/0.39 % (17150)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)
% 0.15/0.39 % (17150)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.39 % Exception at run slice level
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39 % Exception at run slice level
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39 % Exception at run slice level
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.40 % (17149)First to succeed.
% 0.22/0.41 % (17149)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Theorem for theBenchmark
% 0.22/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41 % (17149)------------------------------
% 0.22/0.41 % (17149)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.41 % (17149)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (17149)Memory used [KB]: 1145
% 0.22/0.41 % (17149)Time elapsed: 0.019 s
% 0.22/0.41 % (17149)Instructions burned: 29 (million)
% 0.22/0.41 % (17149)------------------------------
% 0.22/0.41 % (17149)------------------------------
% 0.22/0.41 % (17143)Success in time 0.038 s
%------------------------------------------------------------------------------