TSTP Solution File: LCL792_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL792_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 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 74
% Syntax : Number of formulae : 83 ( 8 unt; 71 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 : 3 ( 1 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 66 ( 46 >; 20 *; 0 +; 0 <<)
% Number of predicates : 18 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 47 ( 47 usr; 5 con; 0-4 aty)
% Number of variables : 53 ( 8 !; 0 ?; 53 :)
% ( 45 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
int: $tType ).
tff(type_def_7,type,
dB: $tType ).
tff(type_def_8,type,
nat: $tType ).
tff(type_def_9,type,
char1: $tType ).
tff(type_def_10,type,
literal: $tType ).
tff(type_def_11,type,
nibble: $tType ).
tff(type_def_12,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
sgn_sgn:
!>[X0: $tType] : ( 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,
if:
!>[X0: $tType] : ( ( bool * X0 * X0 ) > X0 ) ).
tff(func_def_4,type,
nat1: int > nat ).
tff(func_def_5,type,
ring_1_of_int:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_6,type,
lift: ( dB * nat ) > dB ).
tff(func_def_7,type,
nat_case:
!>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > X0 ) ).
tff(func_def_8,type,
nat_size: nat > nat ).
tff(func_def_9,type,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_10,type,
semiri532925092at_aux:
!>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).
tff(func_def_11,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_12,type,
nat_tsub: ( int * int ) > int ).
tff(func_def_13,type,
char: ( nibble * nibble ) > char1 ).
tff(func_def_14,type,
char_case:
!>[X0: $tType] : ( ( fun(nibble,fun(nibble,X0)) * char1 ) > X0 ) ).
tff(func_def_15,type,
char_rec:
!>[X0: $tType] : ( ( fun(nibble,fun(nibble,X0)) * char1 ) > X0 ) ).
tff(func_def_16,type,
char_size: char1 > nat ).
tff(func_def_17,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_18,type,
fFalse: bool ).
tff(func_def_19,type,
fTrue: bool ).
tff(func_def_20,type,
t: dB ).
tff(func_def_21,type,
u: dB ).
tff(func_def_22,type,
ua: dB ).
tff(func_def_23,type,
sK2: int > nat ).
tff(func_def_24,type,
sK3: int > nat ).
tff(func_def_25,type,
sK4: int > nat ).
tff(func_def_26,type,
sK5: fun(nat,bool) > int ).
tff(func_def_27,type,
sK6: fun(nat,bool) > nat ).
tff(func_def_28,type,
sK7: fun(int,bool) > nat ).
tff(func_def_29,type,
sK8: fun(int,bool) > int ).
tff(func_def_30,type,
sK9: fun(nat,bool) > nat ).
tff(func_def_31,type,
sK10: fun(nat,bool) > int ).
tff(func_def_32,type,
sK11: fun(int,bool) > int ).
tff(func_def_33,type,
sK12: fun(int,bool) > nat ).
tff(func_def_34,type,
sK13: char1 > nibble ).
tff(func_def_35,type,
sK14: char1 > nibble ).
tff(func_def_36,type,
sK15:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_37,type,
sK16:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_38,type,
sK17:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_39,type,
sK18:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_40,type,
sK19:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_41,type,
sK20:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_42,type,
sK21:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_43,type,
sK22:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_44,type,
sK23:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_45,type,
sK24:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(pred_def_1,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
ring_1:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
sgn_if:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
semiring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
it: dB > $o ).
tff(pred_def_14,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_15,type,
pp: bool > $o ).
tff(pred_def_16,type,
sP0: ( bool * int * bool ) > $o ).
tff(pred_def_17,type,
sP1: ( bool * int * bool ) > $o ).
tff(f608,plain,
$false,
inference(resolution,[],[f607,f402]) ).
tff(f402,plain,
it(u),
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
it(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_uIT) ).
tff(f607,plain,
~ it(u),
inference(resolution,[],[f511,f382]) ).
tff(f382,plain,
~ it(lift(u,zero_zero(nat))),
inference(cnf_transformation,[],[f138]) ).
tff(f138,plain,
~ it(lift(u,zero_zero(nat))),
inference(flattening,[],[f137]) ).
tff(f137,negated_conjecture,
~ it(lift(u,zero_zero(nat))),
inference(negated_conjecture,[],[f136]) ).
tff(f136,conjecture,
it(lift(u,zero_zero(nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f511,plain,
! [X0: nat,X1: dB] :
( it(lift(X1,X0))
| ~ it(X1) ),
inference(cnf_transformation,[],[f269]) ).
tff(f269,plain,
! [X0: nat,X1: dB] :
( it(lift(X1,X0))
| ~ it(X1) ),
inference(ennf_transformation,[],[f196]) ).
tff(f196,plain,
! [X0: nat,X1: dB] :
( it(X1)
=> it(lift(X1,X0)) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X3: nat,X4: dB] :
( it(X4)
=> it(lift(X4,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_lift__IT) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL792_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 13:39:34 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (13849)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (13850)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (13855)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 % 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 % (13852)WARNING: value z3 for option sas not known
% 0.14/0.40 % (13853)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.40 % (13856)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)
% 0.14/0.40 % (13852)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)
% 0.14/0.40 % (13851)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40 % (13854)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)
% 0.14/0.40 % (13855)First to succeed.
% 0.14/0.40 % (13856)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.40 % (13855)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13849"
% 0.14/0.40 % (13855)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 % (13855)------------------------------
% 0.14/0.40 % (13855)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.40 % (13855)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (13855)Memory used [KB]: 1132
% 0.14/0.40 % (13855)Time elapsed: 0.011 s
% 0.14/0.40 % (13855)Instructions burned: 16 (million)
% 0.14/0.40 % (13849)Success in time 0.036 s
%------------------------------------------------------------------------------