TSTP Solution File: LCL793_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL793_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 : n011.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 : Sun May 5 07:53:13 EDT 2024
% Result : Theorem 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 48
% Syntax : Number of formulae : 57 ( 8 unt; 45 typ; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 42 ( 22 >; 20 *; 0 +; 0 <<)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 5 con; 0-5 aty)
% Number of variables : 29 ( 8 !; 0 ?; 29 :)
% ( 21 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
dB: $tType ).
tff(type_def_7,type,
nat: $tType ).
tff(type_def_8,type,
char: $tType ).
tff(type_def_9,type,
literal: $tType ).
tff(type_def_10,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,
bool_size: bool > nat ).
tff(func_def_3,type,
app: ( dB * dB ) > dB ).
tff(func_def_4,type,
var: nat > dB ).
tff(func_def_5,type,
dB_case:
!>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,X0)) * fun(dB,X0) * dB ) > X0 ) ).
tff(func_def_6,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_7,type,
dB_size: dB > nat ).
tff(func_def_8,type,
lift: ( dB * nat ) > dB ).
tff(func_def_9,type,
liftn: ( nat * dB * nat ) > dB ).
tff(func_def_10,type,
subst: ( dB * dB * nat ) > dB ).
tff(func_def_11,type,
substn: ( dB * dB * nat ) > dB ).
tff(func_def_12,type,
nat_size: nat > nat ).
tff(func_def_13,type,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_14,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_15,type,
char_size: char > nat ).
tff(func_def_16,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_17,type,
fFalse: bool ).
tff(func_def_18,type,
fTrue: bool ).
tff(func_def_19,type,
t: dB ).
tff(func_def_20,type,
u: dB ).
tff(func_def_21,type,
ua: dB ).
tff(func_def_22,type,
sK1: fun(nat,bool) > nat ).
tff(pred_def_1,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
semiring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
comm_monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
linordered_semidom:
!>[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,
ordere236663937imp_le:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
ordere223160158up_add:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
it: dB > $o ).
tff(pred_def_14,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_15,type,
pp: bool > $o ).
tff(pred_def_16,type,
sP0: ( nat * nat * fun(nat,fun(nat,bool)) ) > $o ).
tff(f461,plain,
$false,
inference(resolution,[],[f460,f309]) ).
tff(f309,plain,
it(lift(u,zero_zero(nat))),
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
it(lift(u,zero_zero(nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3__096IT_A_Ilift_Au_A0_J_096) ).
tff(f460,plain,
~ it(lift(u,zero_zero(nat))),
inference(resolution,[],[f372,f288]) ).
tff(f288,plain,
~ it(app(lift(u,zero_zero(nat)),var(zero_zero(nat)))),
inference(cnf_transformation,[],[f119]) ).
tff(f119,plain,
~ it(app(lift(u,zero_zero(nat)),var(zero_zero(nat)))),
inference(flattening,[],[f118]) ).
tff(f118,negated_conjecture,
~ it(app(lift(u,zero_zero(nat)),var(zero_zero(nat)))),
inference(negated_conjecture,[],[f117]) ).
tff(f117,conjecture,
it(app(lift(u,zero_zero(nat)),var(zero_zero(nat)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f372,plain,
! [X0: nat,X1: dB] :
( it(app(X1,var(X0)))
| ~ it(X1) ),
inference(cnf_transformation,[],[f239]) ).
tff(f239,plain,
! [X0: nat,X1: dB] :
( it(app(X1,var(X0)))
| ~ it(X1) ),
inference(ennf_transformation,[],[f171]) ).
tff(f171,plain,
! [X0: nat,X1: dB] :
( it(X1)
=> it(app(X1,var(X0))) ),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X3: nat,X4: dB] :
( it(X4)
=> it(app(X4,var(X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_app__Var__IT) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL793_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
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 13:24:04 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (724)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (732)WARNING: value z3 for option sas not known
% 0.14/0.39 % (735)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (731)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (730)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (732)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)
% 0.14/0.39 % (737)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)
% 0.14/0.39 % (738)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)
% 0.14/0.39 % (739)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)
% 0.14/0.39 % (739)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.39 % Exception at run slice level
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 % Exception at run slice level
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 % Exception at run slice level
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.39 % (738)First to succeed.
% 0.21/0.39 % (732)Also succeeded, but the first one will report.
% 0.21/0.39 % (738)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-724"
% 0.21/0.39 % (737)Also succeeded, but the first one will report.
% 0.21/0.39 % (738)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Theorem for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40 % (738)------------------------------
% 0.21/0.40 % (738)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.40 % (738)Termination reason: Refutation
% 0.21/0.40
% 0.21/0.40 % (738)Memory used [KB]: 1046
% 0.21/0.40 % (738)Time elapsed: 0.010 s
% 0.21/0.40 % (738)Instructions burned: 13 (million)
% 0.21/0.40 % (724)Success in time 0.029 s
%------------------------------------------------------------------------------