TSTP Solution File: NUM980_5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM980_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n007.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 08:17:04 EDT 2024
% Result : Theorem 0.71s 0.85s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 43
% Syntax : Number of formulae : 71 ( 11 unt; 35 typ; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 77 ( 33 ~; 29 |; 1 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 16 ( 9 >; 7 *; 0 +; 0 <<)
% Number of predicates : 21 ( 20 usr; 3 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-4 aty)
% Number of variables : 57 ( 33 !; 0 ?; 57 :)
% ( 24 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
int: $tType ).
tff(type_def_7,type,
nat: $tType ).
tff(type_def_8,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,
if:
!>[X0: $tType] : ( ( bool * X0 * X0 ) > X0 ) ).
tff(func_def_4,type,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_5,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_6,type,
fFalse: bool ).
tff(func_def_7,type,
fTrue: bool ).
tff(func_def_8,type,
n: nat ).
tff(func_def_9,type,
t: int ).
tff(func_def_10,type,
tn: nat ).
tff(func_def_11,type,
sK0: ( nat * nat ) > nat ).
tff(func_def_12,type,
sK1: int > nat ).
tff(pred_def_1,type,
one:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
zero_neq_one:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
semiring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
comm_monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_14,type,
ordere216010020id_add:
!>[X0: $tType] : $o ).
tff(pred_def_15,type,
ordere236663937imp_le:
!>[X0: $tType] : $o ).
tff(pred_def_16,type,
ordere223160158up_add:
!>[X0: $tType] : $o ).
tff(pred_def_17,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_18,type,
pp: bool > $o ).
tff(f389,plain,
$false,
inference(avatar_sat_refutation,[],[f351,f359,f388]) ).
tff(f388,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f387]) ).
tff(f387,plain,
( $false
| spl2_2 ),
inference(subsumption_resolution,[],[f386,f318]) ).
tff(f318,plain,
linordered_semidom(int),
inference(cnf_transformation,[],[f105]) ).
tff(f105,axiom,
linordered_semidom(int),
file('/export/starexec/sandbox/tmp/tmp.q5sXghQ2gA/Vampire---4.8_10961',arity_Int_Oint___Rings_Olinordered__semidom) ).
tff(f386,plain,
( ~ linordered_semidom(int)
| spl2_2 ),
inference(subsumption_resolution,[],[f375,f308]) ).
tff(f308,plain,
ord_less(nat,zero_zero(nat),n),
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
ord_less(nat,zero_zero(nat),n),
file('/export/starexec/sandbox/tmp/tmp.q5sXghQ2gA/Vampire---4.8_10961',fact_1_n0) ).
tff(f375,plain,
( ~ ord_less(nat,zero_zero(nat),n)
| ~ linordered_semidom(int)
| spl2_2 ),
inference(resolution,[],[f350,f326]) ).
tff(f326,plain,
! [X0: $tType,X1: nat] :
( ord_less(X0,zero_zero(X0),semiring_1_of_nat(X0,X1))
| ~ ord_less(nat,zero_zero(nat),X1)
| ~ linordered_semidom(X0) ),
inference(cnf_transformation,[],[f240]) ).
tff(f240,plain,
! [X0: $tType] :
( ! [X1: nat] :
( ( ord_less(X0,zero_zero(X0),semiring_1_of_nat(X0,X1))
| ~ ord_less(nat,zero_zero(nat),X1) )
& ( ord_less(nat,zero_zero(nat),X1)
| ~ ord_less(X0,zero_zero(X0),semiring_1_of_nat(X0,X1)) ) )
| ~ linordered_semidom(X0) ),
inference(nnf_transformation,[],[f215]) ).
tff(f215,plain,
! [X0: $tType] :
( ! [X1: nat] :
( ord_less(X0,zero_zero(X0),semiring_1_of_nat(X0,X1))
<=> ord_less(nat,zero_zero(nat),X1) )
| ~ linordered_semidom(X0) ),
inference(ennf_transformation,[],[f188]) ).
tff(f188,plain,
! [X0: $tType] :
( linordered_semidom(X0)
=> ! [X1: nat] :
( ord_less(X0,zero_zero(X0),semiring_1_of_nat(X0,X1))
<=> ord_less(nat,zero_zero(nat),X1) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X0: $tType] :
( linordered_semidom(X0)
=> ! [X2: nat] :
( ord_less(X0,zero_zero(X0),semiring_1_of_nat(X0,X2))
<=> ord_less(nat,zero_zero(nat),X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.q5sXghQ2gA/Vampire---4.8_10961',fact_3_of__nat__0__less__iff) ).
tff(f350,plain,
( ~ ord_less(int,zero_zero(int),semiring_1_of_nat(int,n))
| spl2_2 ),
inference(avatar_component_clause,[],[f348]) ).
tff(f348,plain,
( spl2_2
<=> ord_less(int,zero_zero(int),semiring_1_of_nat(int,n)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
tff(f359,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f358]) ).
tff(f358,plain,
( $false
| spl2_1 ),
inference(subsumption_resolution,[],[f354,f318]) ).
tff(f354,plain,
( ~ linordered_semidom(int)
| spl2_1 ),
inference(resolution,[],[f346,f242]) ).
tff(f242,plain,
! [X0: $tType] :
( ord_less(X0,zero_zero(X0),one_one(X0))
| ~ linordered_semidom(X0) ),
inference(cnf_transformation,[],[f189]) ).
tff(f189,plain,
! [X0: $tType] :
( ord_less(X0,zero_zero(X0),one_one(X0))
| ~ linordered_semidom(X0) ),
inference(ennf_transformation,[],[f98]) ).
tff(f98,axiom,
! [X0: $tType] :
( linordered_semidom(X0)
=> ord_less(X0,zero_zero(X0),one_one(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.q5sXghQ2gA/Vampire---4.8_10961',fact_97_zero__less__one) ).
tff(f346,plain,
( ~ ord_less(int,zero_zero(int),one_one(int))
| spl2_1 ),
inference(avatar_component_clause,[],[f344]) ).
tff(f344,plain,
( spl2_1
<=> ord_less(int,zero_zero(int),one_one(int)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
tff(f351,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f342,f348,f344]) ).
tff(f342,plain,
( ~ ord_less(int,zero_zero(int),semiring_1_of_nat(int,n))
| ~ ord_less(int,zero_zero(int),one_one(int)) ),
inference(subsumption_resolution,[],[f341,f318]) ).
tff(f341,plain,
( ~ ord_less(int,zero_zero(int),semiring_1_of_nat(int,n))
| ~ ord_less(int,zero_zero(int),one_one(int))
| ~ linordered_semidom(int) ),
inference(resolution,[],[f241,f319]) ).
tff(f319,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0] :
( ord_less(X0,X2,plus_plus(X0,X3,X1))
| ~ ord_less(X0,X2,X1)
| ~ ord_less(X0,zero_zero(X0),X3)
| ~ linordered_semidom(X0) ),
inference(cnf_transformation,[],[f210]) ).
tff(f210,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0,X3: X0] :
( ord_less(X0,X2,plus_plus(X0,X3,X1))
| ~ ord_less(X0,X2,X1)
| ~ ord_less(X0,zero_zero(X0),X3) )
| ~ linordered_semidom(X0) ),
inference(flattening,[],[f209]) ).
tff(f209,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0,X3: X0] :
( ord_less(X0,X2,plus_plus(X0,X3,X1))
| ~ ord_less(X0,X2,X1)
| ~ ord_less(X0,zero_zero(X0),X3) )
| ~ linordered_semidom(X0) ),
inference(ennf_transformation,[],[f183]) ).
tff(f183,plain,
! [X0: $tType] :
( linordered_semidom(X0)
=> ! [X1: X0,X2: X0,X3: X0] :
( ord_less(X0,zero_zero(X0),X3)
=> ( ord_less(X0,X2,X1)
=> ord_less(X0,X2,plus_plus(X0,X3,X1)) ) ) ),
inference(rectify,[],[f96]) ).
tff(f96,axiom,
! [X0: $tType] :
( linordered_semidom(X0)
=> ! [X22: X0,X24: X0,X23: X0] :
( ord_less(X0,zero_zero(X0),X23)
=> ( ord_less(X0,X24,X22)
=> ord_less(X0,X24,plus_plus(X0,X23,X22)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.q5sXghQ2gA/Vampire---4.8_10961',fact_95_pos__add__strict) ).
tff(f241,plain,
~ ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),
inference(cnf_transformation,[],[f136]) ).
tff(f136,plain,
~ ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),
inference(flattening,[],[f135]) ).
tff(f135,negated_conjecture,
~ ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),
inference(negated_conjecture,[],[f134]) ).
tff(f134,conjecture,
ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),
file('/export/starexec/sandbox/tmp/tmp.q5sXghQ2gA/Vampire---4.8_10961',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : NUM980_5 : TPTP v8.1.2. Released v6.0.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n007.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 14:15:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TF1_THM_EQU_NAR problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.q5sXghQ2gA/Vampire---4.8_10961
% 0.62/0.84 % (11298)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.84 % (11297)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.84 % (11296)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.84 % (11294)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.84 % (11295)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.62/0.84 % (11299)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.84 % (11300)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.62/0.84 % (11301)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.62/0.84 % (11300)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.62/0.84 % (11300)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.62/0.84 % (11299)Refutation not found, incomplete strategy% (11299)------------------------------
% 0.62/0.84 % (11299)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.84 % (11299)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.84
% 0.62/0.84 % (11299)Memory used [KB]: 1130
% 0.62/0.84 % (11299)Time elapsed: 0.005 s
% 0.62/0.84 % (11299)Instructions burned: 6 (million)
% 0.62/0.84 % (11301)Refutation not found, incomplete strategy% (11301)------------------------------
% 0.62/0.84 % (11301)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.84 % (11301)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.84
% 0.62/0.84 % (11301)Memory used [KB]: 1133
% 0.62/0.84 % (11301)Time elapsed: 0.004 s
% 0.62/0.84 % (11301)Instructions burned: 6 (million)
% 0.62/0.85 % (11299)------------------------------
% 0.62/0.85 % (11299)------------------------------
% 0.62/0.85 % (11301)------------------------------
% 0.62/0.85 % (11301)------------------------------
% 0.62/0.85 % (11298)Refutation not found, incomplete strategy% (11298)------------------------------
% 0.62/0.85 % (11298)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.85 % (11298)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.85
% 0.62/0.85 % (11298)Memory used [KB]: 1242
% 0.62/0.85 % (11298)Time elapsed: 0.007 s
% 0.62/0.85 % (11298)Instructions burned: 11 (million)
% 0.62/0.85 % (11300)First to succeed.
% 0.62/0.85 % (11298)------------------------------
% 0.62/0.85 % (11298)------------------------------
% 0.71/0.85 % (11300)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11203"
% 0.71/0.85 % (11300)Refutation found. Thanks to Tanya!
% 0.71/0.85 % SZS status Theorem for Vampire---4
% 0.71/0.85 % SZS output start Proof for Vampire---4
% See solution above
% 0.71/0.85 % (11300)------------------------------
% 0.71/0.85 % (11300)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.85 % (11300)Termination reason: Refutation
% 0.71/0.85
% 0.71/0.85 % (11300)Memory used [KB]: 1174
% 0.71/0.85 % (11300)Time elapsed: 0.008 s
% 0.71/0.85 % (11300)Instructions burned: 10 (million)
% 0.71/0.85 % (11203)Success in time 0.478 s
% 0.71/0.85 % Vampire---4.8 exiting
%------------------------------------------------------------------------------