TSTP Solution File: SWW490_5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW490_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 : n032.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 : Wed May 1 04:19:37 EDT 2024
% Result : Theorem 0.64s 0.83s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 48
% Syntax : Number of formulae : 67 ( 12 unt; 43 typ; 0 def)
% Number of atoms : 43 ( 24 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 35 ( 16 ~; 11 |; 1 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 4 ( 3 usr)
% Number of type conns : 40 ( 22 >; 18 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 3 con; 0-5 aty)
% Number of variables : 59 ( 24 !; 0 ?; 59 :)
% ( 35 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
a: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
nat: $tType ).
tff(type_def_8,type,
poly: $tType > $tType ).
tff(type_def_9,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
fundam296178794t_poly:
!>[X0: $tType] : ( ( poly(X0) * X0 ) > poly(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,
suc: nat > nat ).
tff(func_def_5,type,
nat_case:
!>[X0: $tType] : ( ( X0 * fun(nat,X0) ) > fun(nat,X0) ) ).
tff(func_def_6,type,
semiri532925092at_aux:
!>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).
tff(func_def_7,type,
abs_poly:
!>[X0: $tType] : ( fun(nat,X0) > poly(X0) ) ).
tff(func_def_8,type,
coeff:
!>[X0: $tType] : ( poly(X0) > fun(nat,X0) ) ).
tff(func_def_9,type,
degree:
!>[X0: $tType] : ( poly(X0) > nat ) ).
tff(func_def_10,type,
monom:
!>[X0: $tType] : ( ( X0 * nat ) > poly(X0) ) ).
tff(func_def_11,type,
order:
!>[X0: $tType] : ( ( X0 * poly(X0) ) > nat ) ).
tff(func_def_12,type,
pCons:
!>[X0: $tType] : ( ( X0 * poly(X0) ) > poly(X0) ) ).
tff(func_def_13,type,
pcompose:
!>[X0: $tType] : ( ( poly(X0) * poly(X0) ) > poly(X0) ) ).
tff(func_def_14,type,
poly1:
!>[X0: $tType] : ( poly(X0) > fun(X0,X0) ) ).
tff(func_def_15,type,
poly_rec:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(poly(X1),fun(X0,X0))) * poly(X1) ) > X0 ) ).
tff(func_def_16,type,
smult:
!>[X0: $tType] : ( ( X0 * poly(X0) ) > poly(X0) ) ).
tff(func_def_17,type,
synthetic_div:
!>[X0: $tType] : ( ( poly(X0) * X0 ) > poly(X0) ) ).
tff(func_def_18,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_19,type,
fFalse: bool ).
tff(func_def_20,type,
fTrue: bool ).
tff(func_def_21,type,
fequal:
!>[X0: $tType] : ( ( X0 * X0 ) > bool ) ).
tff(func_def_22,type,
h: a ).
tff(pred_def_1,type,
cancel1352612707id_add:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
idom:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
comm_semiring_0:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
comm_semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
comm_monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_14,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_15,type,
pp: bool > $o ).
tff(f199,plain,
$false,
inference(subsumption_resolution,[],[f198,f190]) ).
tff(f190,plain,
zero_zero(nat) = degree(a,zero_zero(poly(a))),
inference(unit_resulting_resolution,[],[f186,f176]) ).
tff(f176,plain,
! [X0: $tType] :
( ( degree(X0,zero_zero(poly(X0))) = zero_zero(nat) )
| ~ zero(X0) ),
inference(cnf_transformation,[],[f157]) ).
tff(f157,plain,
! [X0: $tType] :
( ( degree(X0,zero_zero(poly(X0))) = zero_zero(nat) )
| ~ zero(X0) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,axiom,
! [X0: $tType] :
( zero(X0)
=> ( degree(X0,zero_zero(poly(X0))) = zero_zero(nat) ) ),
file('/export/starexec/sandbox/tmp/tmp.8e7vr0tPvn/Vampire---4.8_2124',fact_9_degree__0) ).
tff(f186,plain,
zero(a),
inference(unit_resulting_resolution,[],[f165,f182]) ).
tff(f182,plain,
! [X0: $tType] :
( zero(X0)
| ~ comm_semiring_0(X0) ),
inference(cnf_transformation,[],[f161]) ).
tff(f161,plain,
! [X0: $tType] :
( zero(X0)
| ~ comm_semiring_0(X0) ),
inference(ennf_transformation,[],[f102]) ).
tff(f102,axiom,
! [X0: $tType] :
( comm_semiring_0(X0)
=> zero(X0) ),
file('/export/starexec/sandbox/tmp/tmp.8e7vr0tPvn/Vampire---4.8_2124',clar_Rings_Ocomm__semiring__0__Groups_Ozero) ).
tff(f165,plain,
comm_semiring_0(a),
inference(cnf_transformation,[],[f136]) ).
tff(f136,axiom,
comm_semiring_0(a),
file('/export/starexec/sandbox/tmp/tmp.8e7vr0tPvn/Vampire---4.8_2124',tfree_0) ).
tff(f198,plain,
zero_zero(nat) != degree(a,zero_zero(poly(a))),
inference(backward_demodulation,[],[f191,f195]) ).
tff(f195,plain,
! [X0: a] : ( zero_zero(poly(a)) = fundam296178794t_poly(a,zero_zero(poly(a)),X0) ),
inference(unit_resulting_resolution,[],[f165,f183]) ).
tff(f183,plain,
! [X0: $tType,X1: X0] :
( ( zero_zero(poly(X0)) = fundam296178794t_poly(X0,zero_zero(poly(X0)),X1) )
| ~ comm_semiring_0(X0) ),
inference(equality_resolution,[],[f170]) ).
tff(f170,plain,
! [X0: $tType,X2: poly(X0),X1: X0] :
( ( zero_zero(poly(X0)) = fundam296178794t_poly(X0,X2,X1) )
| ( zero_zero(poly(X0)) != X2 )
| ~ comm_semiring_0(X0) ),
inference(cnf_transformation,[],[f162]) ).
tff(f162,plain,
! [X0: $tType] :
( ! [X1: X0,X2: poly(X0)] :
( ( ( zero_zero(poly(X0)) = fundam296178794t_poly(X0,X2,X1) )
| ( zero_zero(poly(X0)) != X2 ) )
& ( ( zero_zero(poly(X0)) = X2 )
| ( zero_zero(poly(X0)) != fundam296178794t_poly(X0,X2,X1) ) ) )
| ~ comm_semiring_0(X0) ),
inference(nnf_transformation,[],[f152]) ).
tff(f152,plain,
! [X0: $tType] :
( ! [X1: X0,X2: poly(X0)] :
( ( zero_zero(poly(X0)) = fundam296178794t_poly(X0,X2,X1) )
<=> ( zero_zero(poly(X0)) = X2 ) )
| ~ comm_semiring_0(X0) ),
inference(ennf_transformation,[],[f141]) ).
tff(f141,plain,
! [X0: $tType] :
( comm_semiring_0(X0)
=> ! [X1: X0,X2: poly(X0)] :
( ( zero_zero(poly(X0)) = fundam296178794t_poly(X0,X2,X1) )
<=> ( zero_zero(poly(X0)) = X2 ) ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X2: $tType] :
( comm_semiring_0(X2)
=> ! [X4: X2,X5: poly(X2)] :
( ( fundam296178794t_poly(X2,X5,X4) = zero_zero(poly(X2)) )
<=> ( zero_zero(poly(X2)) = X5 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8e7vr0tPvn/Vampire---4.8_2124',fact_1_offset__poly__eq__0__iff) ).
tff(f191,plain,
zero_zero(nat) != degree(a,fundam296178794t_poly(a,zero_zero(poly(a)),h)),
inference(backward_demodulation,[],[f164,f190]) ).
tff(f164,plain,
degree(a,fundam296178794t_poly(a,zero_zero(poly(a)),h)) != degree(a,zero_zero(poly(a))),
inference(cnf_transformation,[],[f137]) ).
tff(f137,plain,
degree(a,fundam296178794t_poly(a,zero_zero(poly(a)),h)) != degree(a,zero_zero(poly(a))),
inference(flattening,[],[f135]) ).
tff(f135,negated_conjecture,
( ~ degree(a,fundam296178794t_poly(a,zero_zero(poly(a)),h)) = degree(a,zero_zero(poly(a))) ),
inference(negated_conjecture,[],[f134]) ).
tff(f134,conjecture,
degree(a,fundam296178794t_poly(a,zero_zero(poly(a)),h)) = degree(a,zero_zero(poly(a))),
file('/export/starexec/sandbox/tmp/tmp.8e7vr0tPvn/Vampire---4.8_2124',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWW490_5 : TPTP v8.1.2. Released v6.0.0.
% 0.06/0.12 % 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
% 0.11/0.32 % Computer : n032.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 18:03:36 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a TF1_THM_EQU_NAR problem
% 0.11/0.33 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.8e7vr0tPvn/Vampire---4.8_2124
% 0.64/0.82 % (2245)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)
% 0.64/0.82 % (2248)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)
% 0.64/0.82 % (2249)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)
% 0.64/0.82 % (2250)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)
% 0.64/0.82 % (2251)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)
% 0.64/0.82 % (2246)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)
% 0.64/0.82 % (2252)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)
% 0.64/0.82 % (2247)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.83 % (2251)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.64/0.83 % (2248)First to succeed.
% 0.64/0.83 % (2251)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.64/0.83 % (2248)Refutation found. Thanks to Tanya!
% 0.64/0.83 % SZS status Theorem for Vampire---4
% 0.64/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.83 % (2248)------------------------------
% 0.64/0.83 % (2248)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83 % (2248)Termination reason: Refutation
% 0.64/0.83
% 0.64/0.83 % (2248)Memory used [KB]: 1109
% 0.64/0.83 % (2248)Time elapsed: 0.005 s
% 0.64/0.83 % (2248)Instructions burned: 5 (million)
% 0.64/0.83 % (2248)------------------------------
% 0.64/0.83 % (2248)------------------------------
% 0.64/0.83 % (2237)Success in time 0.498 s
% 0.64/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------