TSTP Solution File: LCL774_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL774_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 : 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 : Sun May 5 07:53:04 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 55
% Syntax : Number of formulae : 61 ( 8 unt; 53 typ; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 56 ( 33 >; 23 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 35 ( 35 usr; 6 con; 0-5 aty)
% Number of variables : 23 ( 3 !; 0 ?; 23 :)
% ( 20 !>; 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] : fun(X0,fun(X0,X0)) ).
tff(func_def_1,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_2,type,
it: 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_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,
nil:
!>[X0: $tType] : list(X0) ).
tff(func_def_15,type,
suc: nat > 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,
i: nat ).
tff(func_def_20,type,
r: dB ).
tff(func_def_21,type,
sK4: nat > nat ).
tff(func_def_22,type,
sK5: nat > nat ).
tff(func_def_23,type,
sK6: dB > dB ).
tff(func_def_24,type,
sK7: dB > list(dB) ).
tff(func_def_25,type,
sK8: dB > nat ).
tff(func_def_26,type,
sK9: dB > dB ).
tff(func_def_27,type,
sK10: dB > dB ).
tff(func_def_28,type,
sK11: dB > list(dB) ).
tff(func_def_29,type,
sK12: ( dB * dB ) > dB ).
tff(func_def_30,type,
sK13: fun(nat,bool) > nat ).
tff(func_def_31,type,
sK14: fun(nat,bool) > nat ).
tff(func_def_32,type,
sK15:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(pred_def_1,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
comm_monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
beta: ( dB * dB ) > $o ).
tff(pred_def_10,type,
listsp:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_11,type,
pp: bool > $o ).
tff(pred_def_12,type,
sP0: dB > $o ).
tff(pred_def_13,type,
sP1: dB > $o ).
tff(pred_def_14,type,
sP2: ( nat * nat ) > $o ).
tff(pred_def_15,type,
sP3: ( nat * nat ) > $o ).
tff(f502,plain,
$false,
inference(resolution,[],[f328,f307]) ).
tff(f307,plain,
~ pp(aa(dB,bool,it,var(i))),
inference(cnf_transformation,[],[f112]) ).
tff(f112,plain,
~ pp(aa(dB,bool,it,var(i))),
inference(flattening,[],[f111]) ).
tff(f111,negated_conjecture,
~ pp(aa(dB,bool,it,var(i))),
inference(negated_conjecture,[],[f110]) ).
tff(f110,conjecture,
pp(aa(dB,bool,it,var(i))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
tff(f328,plain,
! [X0: nat] : pp(aa(dB,bool,it,var(X0))),
inference(cnf_transformation,[],[f122]) ).
tff(f122,plain,
! [X0: nat] : pp(aa(dB,bool,it,var(X0))),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
! [X3: nat] : pp(aa(dB,bool,it,var(X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_Var__IT) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : LCL774_5 : TPTP v8.1.2. Released v6.0.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n003.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 14:03:35 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (9600)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (9603)WARNING: value z3 for option sas not known
% 0.14/0.38 % (9601)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (9602)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (9604)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (9603)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 % (9605)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 % (9606)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 % (9607)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 % (9607)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
% 0.14/0.39 % (9603)First to succeed.
% 0.14/0.39 % (9607)Also succeeded, but the first one will report.
% 0.14/0.40 % (9603)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9600"
% 0.14/0.40 % (9605)Also succeeded, but the first one will report.
% 0.14/0.40 % (9603)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Theorem for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (9603)------------------------------
% 0.14/0.40 % (9603)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.40 % (9603)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (9603)Memory used [KB]: 1012
% 0.14/0.40 % (9603)Time elapsed: 0.012 s
% 0.14/0.40 % (9603)Instructions burned: 17 (million)
% 0.14/0.40 % (9600)Success in time 0.032 s
%------------------------------------------------------------------------------