TSTP Solution File: SWW490_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW490_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 : 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 : Tue Apr 30 17:35:23 EDT 2024
% Result : Theorem 0.15s 0.36s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 59
% Syntax : Number of formulae : 77 ( 12 unt; 54 typ; 0 def)
% Number of atoms : 34 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 7 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 54 ( 33 >; 21 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 36 ( 36 usr; 3 con; 0-5 aty)
% Number of variables : 59 ( 16 !; 0 ?; 59 :)
% ( 43 !>; 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(func_def_23,type,
sK0:
!>[X0: $tType] : ( poly(X0) > X0 ) ).
tff(func_def_24,type,
sK1:
!>[X0: $tType] : ( poly(X0) > poly(X0) ) ).
tff(func_def_25,type,
sK2:
!>[X0: $tType] : ( fun(poly(X0),bool) > X0 ) ).
tff(func_def_26,type,
sK3:
!>[X0: $tType] : ( fun(poly(X0),bool) > poly(X0) ) ).
tff(func_def_27,type,
sK4:
!>[X0: $tType] : ( ( poly(X0) * poly(X0) ) > nat ) ).
tff(func_def_28,type,
sK5:
!>[X0: $tType] : ( ( poly(X0) * poly(X0) ) > nat ) ).
tff(func_def_29,type,
sK6: nat > nat ).
tff(func_def_30,type,
sK7: nat > nat ).
tff(func_def_31,type,
sK8: fun(nat,bool) > nat ).
tff(func_def_32,type,
sK9: fun(nat,bool) > nat ).
tff(func_def_33,type,
sK10:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
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(f953,plain,
$false,
inference(trivial_inequality_removal,[],[f952]) ).
tff(f952,plain,
zero_zero(nat) != zero_zero(nat),
inference(superposition,[],[f951,f791]) ).
tff(f791,plain,
zero_zero(nat) = degree(a,zero_zero(poly(a))),
inference(resolution,[],[f739,f404]) ).
tff(f404,plain,
comm_semiring_0(a),
inference(cnf_transformation,[],[f136]) ).
tff(f136,axiom,
comm_semiring_0(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_0) ).
tff(f739,plain,
! [X0: $tType] :
( ~ comm_semiring_0(X0)
| ( degree(X0,zero_zero(poly(X0))) = zero_zero(nat) ) ),
inference(resolution,[],[f501,f475]) ).
tff(f475,plain,
! [X0: $tType] :
( zero(X0)
| ~ comm_semiring_0(X0) ),
inference(cnf_transformation,[],[f292]) ).
tff(f292,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/sandbox2/benchmark/theBenchmark.p',clar_Rings_Ocomm__semiring__0__Groups_Ozero) ).
tff(f501,plain,
! [X0: $tType] :
( ~ zero(X0)
| ( degree(X0,zero_zero(poly(X0))) = zero_zero(nat) ) ),
inference(cnf_transformation,[],[f315]) ).
tff(f315,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/sandbox2/benchmark/theBenchmark.p',fact_9_degree__0) ).
tff(f951,plain,
zero_zero(nat) != degree(a,zero_zero(poly(a))),
inference(backward_demodulation,[],[f794,f948]) ).
tff(f948,plain,
! [X0: a] : ( zero_zero(poly(a)) = fundam296178794t_poly(a,zero_zero(poly(a)),X0) ),
inference(resolution,[],[f480,f404]) ).
tff(f480,plain,
! [X0: $tType,X1: X0] :
( ~ comm_semiring_0(X0)
| ( zero_zero(poly(X0)) = fundam296178794t_poly(X0,zero_zero(poly(X0)),X1) ) ),
inference(cnf_transformation,[],[f297]) ).
tff(f297,plain,
! [X0: $tType] :
( ! [X1: X0] : ( zero_zero(poly(X0)) = fundam296178794t_poly(X0,zero_zero(poly(X0)),X1) )
| ~ comm_semiring_0(X0) ),
inference(ennf_transformation,[],[f188]) ).
tff(f188,plain,
! [X0: $tType] :
( comm_semiring_0(X0)
=> ! [X1: X0] : ( zero_zero(poly(X0)) = fundam296178794t_poly(X0,zero_zero(poly(X0)),X1) ) ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
! [X0: $tType] :
( comm_semiring_0(X0)
=> ! [X3: X0] : ( zero_zero(poly(X0)) = fundam296178794t_poly(X0,zero_zero(poly(X0)),X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_offset__poly__0) ).
tff(f794,plain,
zero_zero(nat) != degree(a,fundam296178794t_poly(a,zero_zero(poly(a)),h)),
inference(backward_demodulation,[],[f403,f791]) ).
tff(f403,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/sandbox2/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWW490_5 : TPTP v8.1.2. Released v6.0.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 02:58:32 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % (24463)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (24466)WARNING: value z3 for option sas not known
% 0.15/0.33 % (24468)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)
% 0.15/0.33 % (24464)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.33 % (24470)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)
% 0.15/0.33 % (24465)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33 % (24467)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33 % (24469)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)
% 0.15/0.33 % (24466)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)
% 0.15/0.34 % (24470)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.34 % Exception at run slice level% Exception at run slice level
% 0.15/0.34 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.34 % Exception at run slice level
% 0.15/0.34 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.34
% 0.15/0.34 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.35 % (24471)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.15/0.35 % (24472)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.15/0.35 % (24473)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.15/0.36 % (24471)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.36 % (24472)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.36 % Exception at run slice level
% 0.15/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.36 % (24469)First to succeed.
% 0.15/0.36 % (24466)Also succeeded, but the first one will report.
% 0.15/0.36 % (24469)Refutation found. Thanks to Tanya!
% 0.15/0.36 % SZS status Theorem for theBenchmark
% 0.15/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.36 % (24469)------------------------------
% 0.15/0.36 % (24469)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.36 % (24469)Termination reason: Refutation
% 0.15/0.36
% 0.15/0.36 % (24469)Memory used [KB]: 1311
% 0.15/0.36 % (24469)Time elapsed: 0.025 s
% 0.15/0.36 % (24469)Instructions burned: 45 (million)
% 0.15/0.36 % (24469)------------------------------
% 0.15/0.36 % (24469)------------------------------
% 0.15/0.36 % (24463)Success in time 0.043 s
%------------------------------------------------------------------------------